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Problem 11601

Graph $f(x)=\log _{2}(1-x)$ below. First locate the vertical asymptote, then plot two points on the graph.
Clear All Draw: $\square$ Check Answer

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Problem 11602

Question 1
A car dealership claims that there is a difference in the mean credit scores of customers who buy cars in the first quarter of the fiscal year and those who buy cards in the last quarter of the fiscal year. The results of a random survey of 298 customers from the first quarter of the fiscal year and 246 customers from the last quarter of the fiscal year are shown below. The two samples are independent. Do the results support the dearlership's claim? Use alpha $=0.05$ . \begin{tabular}{|c|c|} \hline First Quarter & Last Quarter \\ \hline $n_{1}=298$ & $n_{2}=246$ \\ \hline $\bar{x}_{1}=561$ & $\bar{x}_{2}=570$ \\ \hline $\sigma_{1}=51$ & $\sigma_{2}=50$ \\ \hline \end{tabular} a. Given the alternative hypothesis, the test is Select an answer $\vee$ b. Determine the test statistic. Round to two decimal places. test statistic $=$ $\square$ c. Find the critical value(s). If there are two, just input the positive critical value. critical value $=$ $\square$ d. Make a decision. Reject the null hypothesis. Fail to reject the null hypothesis.

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Problem 11603

Determine if the graph can represent a polynomial function. If so, assume that the end behavior and all turning points are represented in the graph. (a) Determine the minimum degree of the polynomial. (b) Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even. (c) Approximate the real zeros of the function, and determine if their multiplicities are even or odd.

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Problem 11604

23. Car repairs A consumer organization estimates that over a oneyear period $17 \%$ of cars will need to be repaired once, $7 \%$ will need repairs twice, and $4 \%$ will require three or more repairs. What is the probability that a car chosen at random will need a) no repairs? b) no more than one repair? c) some repairs?

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Problem 11605

Use a $t$ -distribution to find a confidence interval for the difference in means $\mu_{d}=\mu_{1}-\mu_{2}$ using the relevant sample results from paired data. Assume the results come from random samples from populations that are approximately normally distributed, and that differences are computed using $d=x_{1}-x_{2}$ .
A 95\% confidence interval for $\mu_{d}$ using the paired data in the following table: \begin{tabular}{l|ll} \hline Case & \begin{tabular}{l} Situation \\ 1 \end{tabular} & \begin{tabular}{l} Situation \\ 2 \end{tabular} \\ \hline 1 & 78 & 86 \\ 2 & 80 & 85 \\ 3 & 95 & 90 \\ 4 & 62 & 78 \\ 5 & 71 & 78 \\ 6 & 72 & 62 \\ 7 & 84 & 88 \\ 8 & 91 & 92 \\ \hline \end{tabular}
Give the best estimate for $\mu_{d}$ , the margin of error, and the confidence interval. Enter the exact answer for the best estimate, and round your answers for the margin of error and the confidence interval to two decimal places. best estimate $=$ $\square$ $-3.5$ margin of error = $\square$ $\square$ $-6.71$
The $95 \%$ confidence interval is to i 3.21 $\square$

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Problem 11606

Find the center of the ellipse defined by the equation $\frac{(x+1)^{2}}{9}+\frac{(y+3)^{2}}{16}=1$ . If necessary, round to the nearest tenth.
Answer Attempt 1 out of 2
Center: $\square$ , $\square$

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Problem 11607

31
14 Jadual 2 menunjukkan maklumat berkaitan empat jenis bahan yang digunakan untuk membuat kasut berjenama Lipo pada tahun 2019 dan 2022, serta peratus penggunaan masing-masing.
Table 2 shows the information related to four materials used in making Lipo branded shoes in years 2019 and 2022, and their respective percentage of usage. \begin{tabular}{|c|c|c|c|c|} \hline Bahan & \begin{tabular}{c} Kos pada \\ tahun 2019 \\ Material \\ Cost in the \\ year 2019 \\ (RM) \end{tabular} & \begin{tabular}{c} Kos pada \\ tahun 2022 \\ Cost in the \\ year 2022 \\ (RM) \end{tabular} & \begin{tabular}{c} Indeks harga \\ pada tahun \\ 2022 \\ berasaskan \\ tahun 2019 \\ Price index in \\ 2022 based on \\ 2019 \end{tabular} & \begin{tabular}{c} Peratus \\ penggunaan \\ Percentage \\ of usage \end{tabular} \\ \hline A & $m$ & 40 & 160 & 40 \\ \hline $B$ & 35 & 38 & 108.57 & 30 \\ \hline $C$ & 160 & $n$ & 107.50 & 10 \\ \hline $D$ & 85 & 85 & 100 & 20 \\ \hline \end{tabular}
Jadual 2 Table 2 (a) Cari nilai $m$ dan $n$ .
Find the value of $m$ and of $n$ . [3 markah] [3 marks] (b) Hitung indeks gubahan bagi kos membuat kasut tersebut pada tahun 2022 berasaskan tahun 2019. Calculate the composite index for the cost of making the shoes in the year of 2022 based on the year 2019. [2 markah] [2 marks] (c) Diberi bahawa harga kos sepasang kasut Lipo ialah RM 100 dan dijual dengan keuntungan sebanyak RM 50 pada tahun 2019. Hitung harga jual kasut Lipo yang sepadan pada tahun 2022. Given that the cost price of a pair of Lipo shoes is RM 100 and sold at a profit of RM 50 in 2019. Calculate the corresponding selling price of the Lipo shoes in the year 2022. [2 markah] [2 marks]

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Problem 11608

What is the unit price of a quart of juice for $\$ 0.79 ?$ A. $\$ 3.16 /$ gallon B. 3 half-gallons for $\$ 5.40$ C. $\$ 3.16 / \mathrm{lb}$ D. 7 pints for $\$ 4.20$

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Problem 11609

Which of these is a point?
Choose 1 answer: (A) (B) $\longleftrightarrow$ (C) (D)
D

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Problem 11610

For $f(x)=\frac{6}{x+2}$ and $g(x)=\frac{3}{x}$ , find a. $(f \circ g)(x)$ ; b. the domain of $f \circ g$ a. $(f \circ g)(x)=$ $\square$ (Simplify your answer.) b. What is the domain of $f \circ g$ ?
The domain is $\square$ (Simplify your answer. Type your answer in interval notation. Use integers or

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Problem 11611

WeBWorK 5 - Topics 10 - 12: Problem 12 (1 point)
Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as "divergent". $\int_{2}^{\infty} \frac{8}{(x+5)^{3 / 2}} d x=$ $\square$
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Problem 11612

A student proposes the following Lewis structure for the water $\left(\mathrm{H}_{2} \mathrm{O}\right)$ molecule. $\mathrm{H}-\mathrm{O}-\mathrm{H}$
Assign a formal charge to each atom in the student's Lewis structure. \begin{tabular}{|c|c|} \hline atom & formal charge \\ \hline left H & $\square$ \\ \hline $O$ & $\square$ \\ \hline right H & $\square$ \\ \hline \end{tabular}

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Problem 11613

Problem Value: 1 point(s). Problem Score: 0\%. Attempts Remaining: 6 attempts. (1 point) Find all zeros and vertical asymptotes of the rational function $f(x)=\frac{x^{2}-25}{x^{2}+25}$
If there is more than one answer, enter your answers as a comma separated list. If there is no solution, enter NONE. Do not leave a blank empty. (a) Find the $x$ -intercept(s). Enter $x$ -intercepts as points, if there is more than one answer enter them separated by commas. If there is no $x$ -intercept type in none . $\square$ Help on points. (b) Find the $y$ -intercept(s). Enter $y$ -intercepts as points, if there is more than one answer enter them separated by commas. If there is no $y$ -intercept type in none . $\square$ Help on points. (c) Enter the equations of the vertical asymptotes (e.g., $x=20, x=-7$ ). $\square$ Help on equations.

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Problem 11614

Fill in the blank so that the resulting statement is true. If $\log _{7}(x+5)=4$ , then $\qquad$ $=x+5$ .
If $\log _{7}(x+5)=4$ , then $\square$ $=x+5$ .

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Problem 11615

6. $f(x)=9 x^{4}+142 x^{3}+102 x^{2}-1386 x+3$ has a maximum or minimum at the points where $x=1.5$ and where $x=-\frac{7}{3}$ . Use instantaneous rates of change to verify this, and to classify each as a maximum or a minimum. [8 marks]

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Problem 11616

An 80.0 kg man stands on a scale inside an elevator. What is the weight in Newtons that the scale reads when the elevator is: a. At rest b. Moving upward at a constant speed of $5.00 \mathrm{~m} / \mathrm{s}$ c. Moving downward at a constant speed of $5.00 \mathrm{~m} / \mathrm{s}$ d. Moving with an upward acceleration of $3.00 \mathrm{~m} / \mathrm{s} / \mathrm{s}$ e. Moving with a downward acceleration of $4.00 \mathrm{~m} / \mathrm{s} / \mathrm{s}$

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Problem 11617

Question 16 of 19, Step 1 of 1 Correct
Consider the following data set. The square footage prices of apartments in a new building where the top floor alone contains one apartment and all other floors contain ten. Would you be more interested in looking at the mean, median, or mode? State your reasoning.
Answer First, select the correct measure of center and then select the justification for your choice. Correct measure of center mean median mode
Justification the data have no measurable values the data have measurable values with outliers the data have measurable values with no outliers

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Problem 11618

Find the area under $y=4 \cos (x)$ and above $y=4 \sin (x)$ for $\frac{\pi}{2} \leq x \leq \frac{3 \pi}{2}$ . (Note that this area may not be defined over the entire interval.) area $=$ $\square$

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Problem 11619

$\begin{array}{l}h(x)=\left\{\begin{array}{ll}-5 x-17, & \text { for } x<-3 \\ 1, & \text { for }-3 \leq x<1 \\ x+4, & \text { for } x \geq 1\end{array}\right. \\ h(-10)=\square \\ h(-2)=\square \\ h(1)=\square \\ h(4)=\square\end{array}$

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Problem 11620

d. The $p$ -value $=$ 0.0735 $\qquad$ (Please show your answer to 4 decimal places.) e. The $p$ -value is $\square$ $\alpha$ f. Based on this, we should fail to reject
0 the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly smaller than $53 \%$ at $\alpha=0.05$ , so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is smaller than $53 \%$ The data suggest the population proportion is not significantly smaller than $53 \%$ at $\alpha=0.05$ , so there is not sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is smaller than $53 \%$ . The data suggest the population proportion is not significantly smaller than $53 \%$ at $\alpha=0.05$ , so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is equal to $53 \%$ . h. Interpret the p-value in the context of the study. If the population proportion of students who played intramural sports who received a degree within six years is $53 \%$ and if another 257 students who played intramural sports are surveyed then there would be a $10.1 \%$ chance fewer than $49 \%$ of the 257 students surveyed received a degree within six years. There is a 53\% chance of a Type I error. If the sample proportion of students who played intramural sports who received a degree within six years is $49 \%$ and if another 257 such students are surveyed then there would be a $10.1 \%$ chance of concluding that fewer than $53 \%$ of all students who played intramural sports received a degree within six years. There is a $10.1 \%$ chance that fewer than $53 \%$ of all students who played intramural sports graduate within six years. i. Interpret the level of significance in the context of the study. If the population proportion of students who played intramural sports who received a degree within six years is $53 \%$ and if another 257 students who played intramural sports are surveyed then there would be a $5 \%$ chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is smaller than 53\% There is a $5 \%$ chance that the proportion of all students who played intramural sports who received a degree within six years is smaller than $53 \%$ . If the population proportion of students who played intramural sports who received a degree within six years is smaller than $53 \%$ and if another 257 students who played intramural sports are surveyed then there would be a $5 \%$ chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is equal to $53 \%$ . There is a $5 \%$ chance that aliens have secretly taken over the earth and have cleverly disguised themselves as the presidents of each of the countries on earth.

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Problem 11621

Scenario 2: Customers at IT Phone Call Center have been complaining that they are waiting too long for service. The managers at the call center have taken notice and asked you to do some investigating to determine the typical service time for their customers for morning shifts compared to evening shifts. You collect the following samples (time in minutes): - Morning shifts: $7,14,15,17,17,19,20,20,20,55$ - Evening shifts: 2,10,11,13,21,21,29,32,33,46 A. Calculate the mean, median, and mode for each shift using the data above. Explain your calculations. B. Determine which descriptive statistic (mean, median, or mode) you would utilize to communicate the typical service time to your boss for each shift and why. In your explanation, lye sure to include which shift (morning or evening) has the quicker turn-around time.

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Problem 11622

g. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger $60 \%$ at $\alpha=0.05$ , so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to $60 \%$ . The data suggest the population proportion is not significantly larger $60 \%$ at $\alpha=0.05$ , so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger 60\%. - The data suggest the populaton proportion is significantly larger $60 \%$ at $\alpha=0.05$ , so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger 60\% h. Interpret the p-value in the context of the study. There is a $0.33 \%$ chance that more than $60 \%$ of all voters prefer the Democratic candidate. - If the population proportion of voters who prefer the Democratic candidate is $60 \%$ and if another 222 voters are surveyed then there would be a $0.33 \%$ chance that more than $69 \%$ of the 222 voters surveyed prefer the Democratic candidate.
O If the sample proportion of voters who prefer the Democratic candidate is $69 \%$ and if another 222 voters are surveyed then there would be a $0.33 \%$ chance of concluding that more than $60 \%$ of all voters surveyed prefer the Democratic candidate. There is a $0.33 \%$ chance of a Type I error. i. Interpret the level of significance in the context of the study. If the population proportion of voters who prefer the Democratic candidate is $60 \%$ and if another 222 voters are surveyed then there would be a $5 \%$ chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is larger 60\% There is a $5 \%$ chance that the proportion of voters who prefer the Democratic candidate is larger 60\%. There is a $5 \%$ chance that the earth is flat and we never actually sent a man to the moon. If the proportion of voters who prefer the Democratic candidate is larger 60\% and if another 222 voters are surveyed then there would be a $5 \%$ chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to $60 \%$ .

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Problem 11623

Complète le tableau suivant. \begin{tabular}{|c|l|l|l|l|} \hline Équation & Foyer(s) & Sommet(s) & Centre & \begin{tabular}{c} Équation des asymptotes \\ ou de la directrice \end{tabular} \\ \hline $\frac{(x+2)^{2}}{16}+\frac{(y+1)^{2}}{25}=1$ & & $(-2,-1)$ & & \\ \hline $(x-3)^{2}=8(y+4)$ & & $(3,-4)$ & & \\ \hline $\frac{x^{2}}{36}-\frac{(y-4)^{2}}{64}=1$ & & $(0,2)$ & & \\ \hline \end{tabular}

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Problem 11624

EXERCISES
1. An efficient way to find all the primes up to 100 is to arrange the numbers from 1 to 100 in six columns. As with the Sieve of Eratosthenes, cross out the multiples of 2, 3, 5, and 7. What pattern do you notice? (Hint: Look at the columns and diagonals.) \begin{tabular}{rrrrrr} 1 & 2 & 3 & 4 & 5 & 6 \\ 7 & 8 & 9 & 10 & 11 & 12 \\ 13 & 14 & 15 & 16 & 17 & 18 \\ 19 & 20 & 21 & 22 & 23 & 24 \\ 25 & 26 & 27 & 28 & 29 & 30 \\ 31 & 32 & 33 & 34 & 35 & 36 \\ 37 & 38 & 39 & 40 & 41 & 42 \end{tabular}

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Problem 11625

12. The table shows values for the function $f(x)$ , while the graph shows values for the function $h(x)$ . Which function has the greater slope? Explain your answer. \begin{tabular}{|c|c|} \hline $x$ & $f(x)$ \\ \hline 1 & 7 \\ \hline 3 & 11 \\ \hline 5 & 15 \\ \hline 7 & 19 \\ \hline \end{tabular}

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Problem 11626

Question 10 (1 point) Find $g \circ f$ and the domain of the composite function. $f(x)=x^{2}+4, g(x)=\sqrt{x}$ a $\sqrt{(x-4)^{4}}$ Domain of $g \circ f$ : all real numbers $x$ b $(x-4)^{4}$ Domain of $g \circ f$ : all real numbers $x$ c $\sqrt{x^{2}+4}$ Domain of $g \circ f$ : all real numbers $x$ d $\quad(x+4)^{4}$ Domain of $g \circ f$ : all real numbers $x$ e $\sqrt{(x+4)^{4}}$ Domain of $g \circ f$ : all real numbers $x$

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Problem 11627

Question 15 (1 point) Find $(f / g)(x)$ . $f(x)=x^{2}-4 x \quad g(x)=7-x$ a $\quad(f / g)(x)=\frac{x^{2}-4 x}{7-x}, x \neq-7$ b $\quad(f / g)(x)=\frac{x^{2}}{7}+4, x \neq 0$ c $(f / g)(x)=\frac{x-4}{7}, x \neq 0$ d $(f / g)(x)=\frac{x^{2}-4 x}{7-x}, x \neq 7$ e $\quad(f / g)(x)=\frac{x^{2}-4 x}{7-x}, x \neq 0$

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Problem 11628

What is the basis of the new property in each of the following situations? What is the recognized gain or loss? Required: a. Rental house with an adjusted basis of $\$ 121,500$ exchanged for a personal-use river cottage with an FMV of $\$ 155,750$ . b. General Motors common stock with an adjusted basis of $\$ 26,000$ exchanged for Quaker Oats common stock with an FMV of \ $19,000. c. Land and building with an adjusted basis of$ \ $27,350$ used as a furniture repair shop exchanged for land and a building with an FMV of $\$ 57,900$ used as a car dealership. d. An office building with an adjusted basis of $\$ 23,800$ exchanged for a heavy-duty truck with an FMV of $\$ 29,950$ . Both properties are held for 100\% business purposes. e. A residential rental property held for investment with an adjusted basis of $\$ 265,150$ exchanged for a warehouse to be held for investment with an FMV of \$214,000. Note: For all requirements, if no gain or loss is recognized, select "No gain or loss". \begin{tabular}{|l|l|l|} \hline & & Amount \\ \hline a. & Basis of the new property & \\ \hline a. & & \\ \hline b. & Basis of the new property & \\ \hline b. & & \\ \hline c. & Basis of the new property & \\ \hline c. & & \\ \hline d. & Basis of the new property & \\ \hline d. & \\ \hline e. & Basis of the new property & \\ \hline e. & & \\ \hline \end{tabular}

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Problem 11629

4. Find the degree of each vertex in the graph.
If Identify the even vertices and identify the odd vertices. $\$$ Which vertices are adjacent to vertex $A$ ? * Which vertices are adjacent to vertex $D$ ?
1. Use vertices to describe two paths that start at vertex $A$ and and at vertex $D$ .
2. Use vertices to describe two paths that start at vertex $B$ and end at vertex $D$ .
3. Which edges shown on the graph are not included in the following path: $E, E, D, C, B, A$ ?
3. Which edges shown on the graph are not included in the following path: $E, E, D, C, A, B$ ?
3. Explain why edge $C D$ is a bridge.
21. Explain why edge $D E$ is a bridge.
3. Identify an edge on the graph other than those in Exercises 31 and 32 that is a bridge.

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Problem 11630

Compare 0.0000635 and 0.000456 . Write $<,>$ , or $=$ in the blank. (1 point) $0.0000635 \square 0.000456$
Check answer Remaining Attempts : 3

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Problem 11631

Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of symmetry. Use the graph to determine the function's domain and range. $f(x)=x^{2}+6 x+3$
What is the vertex? $\square$ (Type an ordered pair.)

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Problem 11632

GoC. Mail. Brai... Brai- 5.8 Ho. Des. 5.8 8-P- GoC
The population of a certain country since January 1, 1910 can be approximated by the model below, where $t$ is the number of years since January $1,1910$ . $P(t)=\frac{62.4}{1+8.6 e^{-0.02579 t}}$ where $P$ is the population of this country (in millions) $t$ years after January 1, 1910. (a) What was the population of this country on January 1, 1910? $\square$ million (b) Use the function to approximate the population of this country on January 1, 1926. Round your answer to the nearest whole number. $\square$ million (c) What is the limiting factor for this model? Do not round your answer. $\square$ million (d) In what year will the population reach 19 million? Round your answer to the nearest year. $\square$ (e) What will the term $8.6 e^{-0.02579 t}$ approach as $t \rightarrow \infty$ ?

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Problem 11633

Compare $7.6 \times 10^{-25}$ and $6.7 \times 10^{-52}$ . Which statement is true? (1 poin $7.6 \times 10^{-25}<6.7 \times 10^{-52}$ $7.6 \times 10^{-25} \leq 6.7 \times 10^{-52}$ $7.6 \times 10^{-25}>6.7 \times 10^{-52}$ $7.6 \times 10^{-25}=6.7 \times 10^{-52}$

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Problem 11634

Determine whether the relation in the mapping diagram is a function.
Use the drop-down arrows to complete the sentences.
The relation in the mapping diagram $\square$ a function because $\square$

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Problem 11635

Which set of numbers is arranged in descending order? (1 poi $7.2 \times 10^{-30}, 7 \times 10^{-30}, 7.6 \times 10^{-25}, 7.2 \times 10^{-25}$ $7 \times 10^{-30} .7 .2 \times 10^{-25}, 7.2 \times 10^{-30} .7 .6 \times 10^{-25}$ $7.6 \times 10^{-25} .7 .2 \times 10^{-25} .7 .2 \times 10^{-30}, 7 \times 10^{-30}$ $7.6 \times 10^{-25}, 7.2 \times 10^{-30} .7 .2 \times 10^{-25} .7 \times 10^{-30}$

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Problem 11636

Use transformations of the graph of $f(x)=3^{x}$ to graph the given function. Be sure to graph and give the equation of the asymptote. Use the graph to determine the function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs. $g(x)=3^{x}-2$
Graph $g(x)=3^{x}-2$ and its asymptote. Use the graphing tool to graph the function as a solid curve and the asymptote as a dashed line.

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Problem 11637

Name: Lauta Das Datum: 03.12.2024
Hilfsmittel: Tafelwerk, grafikfähiger Taschenrechner (kein CAS)
3. Leistungskontrolle $12 / \mathrm{GK}$
Funktionenscharen \begin{tabular}{|c|c|c|c|c|c|c|} \hline & A. 1 & A. 2 & A. 3 & A. 4 & $\Sigma$ & \multirow{2}{*}{ Notenpunkte } \\ \hline maximale BE & 11 & 7 & 5 & 6 & 29 & \\ \hline erreichte BE & & & & & & \\ \hline \end{tabular}
1. Es sind die Funktionenschar $f_{a}$ mit $f_{a}(x)=a \cdot x^{3}$ sowie die Funktionenschar $g_{a}$ mit $g_{a}(x)=a^{2} \cdot x$ gegeben $(a \in \mathbb{R}, a \neq 0)$ . 1.1 Bestimmen Sie für $a=3$ den Funktionswert von $g_{3}$ an der Stelle $x=-2$ . /2 BE 1.2 Bestimmen Sie für $a=-1$ den Anstieg von $f_{-1}$ an der Stelle $x=-2$ . 13 BE 1.3 Berechnen Sie die Schnittstellen der beiden Scharen miteinander in Abhängigkeit vom Parameter $a$ und führen Sie, falls notwendig, für $a$ eine Fallunterscheidung durch. 14 BE 1.4 Betrachten Sie die folgende Rechnung und ziehen Sie eine möglichst konkrete Schlussfolgerung. 12 BE $\begin{array}{ll} f_{a}^{\prime}(x)=3 a \cdot x^{2}, & 0=3 a \cdot x^{2} \quad \Leftrightarrow \quad x_{0}=0 \\ f_{a}^{\prime \prime}(x)=6 a \cdot x, & f_{a}^{\prime \prime}(0)=0 \\ f_{a}^{\prime \prime \prime}(x)=6 a, & f_{a}^{\prime \prime \prime}(0)=6 a \neq 0 \end{array}$
2. Gegeben ist die in $\mathbb{R}$ definierte Funktionenschar $f_{k} \operatorname{durch} f_{k}(x)=k \cdot x+\cos (x)$ mit $k \in \mathbb{R}$ . 2.1 Die in der Abbildung rechts dargestellten Graphen von $f_{k}$ gehören jeweils zu einem der Werte $k=0,25 ; k=0,5$ und $k=1$ der Funktionsschar $f_{k}$ . Ordnen Sie jedem dieser Werte den passenden Graphen zu. 2.2 Zeigen Sie, dass sich die Graphen von $f_{k}$ alle im Punkt $P(0 \mid 1)$ schneiden. 12 BE 2.3 Berechnen Sie den Wert des Terms $\int_{\pi}^{2 \pi} f_{k}(x) d x$ in Abhängigkeit vom Parameter $k$ . 13 BE Rückseite beachten!

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Problem 11638

$\log _{7} 9$

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Problem 11639

A survey of 2279 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 421 have donated blood in the past two years. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). $\hat{p}=0.185$ (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied.
The sample $\square$ a simple random sample, the value of $\hat{p}(1-\hat{p})$ is $\square$ , which is $\square$ $\square$ less than or equal to $5 \%$ of the $\square$ (Round to three decimal places as needed.) (c) Construct and interpret a 90\% confidence interval for the population proportion of adults in the country who have donated blood in the past two years. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) A. There is a $\square$ \% probability the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between $\square$ and $\square$ . B. We are $\square$ \% confident the proportion of adults in the country aged 18 and older who have donated blood in the

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Problem 11640

ter 9 Homework Question 5, 9.2.1
Determine whether the samples are independent or dependent. A data set includes the morning and evening temperature for the last 120 days.
Choose the correct answer below. A. The samples are dependent because there is not a natural pairing between the two samples, B. The samples are independent because there is not a natural pairing between the two samples. C. The samples are independent because there is a natural pairing between the two samples. D. The samples are dependent because there is a natural pairing between the two samples.

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Problem 11641

Which of the following statements are true concerning the mean of the differences between two dependent samples (matched pairs)?
Select all that apply. A. If one has more than 9 matched pairs of sample data, one can consider the sample to be large and there is no need to check for normality. B. The methods used to evaluate the mean of the differences between two dependent variables apply if one has 92 weights of taxpayers from Ohio and 92 weights of taxpayers from Texas. C. The requirement of a simple random sample is satisfied if we have independent pairs of convenience sampling data. D. If one has twenty matched pairs of sample data, there is a loose requirement that the twenty differences appear to be from a normally distributed population. E. If one wants to use a confidence interval to test the claim that $\mu_{d}>0$ with a 0.05 significance level, the confidence interval should have a confidence level of $90 \%$ .

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Problem 11642

Question 17, 9.4.3 HW Score: $35.83 \%, 7.17$ of 20 points
Given the two samples of commute times (minutes) shown here, which of the following are randomizations of them? Points: 0 of 1 Boston 520 25 30 50 $\begin{array}{llll}\text { New York } & 20 & 40 \quad 60\end{array}$
Choose the correct answer below. A. Boston: 30, 20, 5. New York: 25, 50, 40, 20, 60. B. Boston: $30,20,50,25,5$ New York $40,20,60$ . C. Boston: 20, 20, 20, 20, 20. New York: 25, 25, 25 D. Boston: $30,20,50$ . New York: 25, 5, 40, 20, 60. E. Boston 50, 5, 25, 25, 30. New York 20, 40, 40, 60

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Problem 11643

Anwendungsbezogene Kurvendiskussion 2 Die Gesamtkosten $K$ (in 100,00 EUR) eines Herstellers von Massenartikeln in einem Jahr kann man beschreiben durch die Funktion $K$ mit $K(x)=x^{3}-8 x^{2}+24 x+100$ . Dabei ist $x$ der Output in $1000 \mathrm{Stück/Jahr}$ . Die Kapazitätsgrenze liegt bei 12000 Stück/Jahr. Diskutieren Sie die Funktion und interpretieren Sie die Ergebnisse.

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Problem 11644

7. The largest interval in which a solution of the IVP $y^{\prime}+(\ln t) y=\tan t, \quad y\left(\frac{\pi}{4}\right)=1$ is certain to exist is (a) $\left(0, \frac{\pi}{2}\right)$ (b) $(0, \pi)$ (c) $(0,1)$ . (d) $(1, \infty)$

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Problem 11645

12. Elefantenbestand
In einem großen afrikanischen Nationalpark wird der Elefantenbestand kontrolliert und geschützt. Dadurch wächst die Population, die zum Zeitpunkt $\mathrm{t}=0$ bei 2500 Elefanten liegt, mit einer Wachstumsrate, welche durch die Funktion $f(t)=0,5 t \cdot e^{-0,25 t}$ beschrieben wird. ( $\mathrm{t} \geq 0$ : Zeit in Jahren, $\mathrm{f}(\mathrm{t})$ : Zuwachsrate in Tausend/Jahr) a) Ermitteln Sie den Funktionswert von f an der Stelle t = 10. Erläutern Sie das Ergebnis. b) Beschreiben Sie anhand des rechts dargestellten Graphen von f, wie sich die Elefantenpopulation ent- wickelt. c) Wann wächst die Elefantenpopulation am stärksten? d) Weisen Sie nach, dass die Funktion $F(t)=-2 e^{-0,25 t}(t+4)$ eine Stammfunktion von $f$ ist. e) Welche Funktion $G(t)$ beschreibt den Bestand der Elefantenpopulation zum Zeitpunkt $t$ ? f) Welche Maximalpopulation kann erreicht werden?

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Problem 11646

Part 6 of 6 Points: 0.67 of 1 Save
The results of a survey taken by a bank in a medium-sized town are shown in the table. The survey asked questions about the investment habits of bank customers. Assuming that no one invests in more than one type of investment, and using the letters in the table, find the number of people in each set. Complete parts (a) through (f) below.
Click the icon to view the survey results. (a) $Y \cap B$
The set $Y \cap B$ has 3 people. (b) $M \cup A$
The set M U A has 52 people. (c) $Y \cap(S \cup B)$
The set $Y \cap(S \cup B)$ has 7 people. (d) $O^{\prime} \cup(S \cup A)$
The set $O^{\prime} \cup^{\prime}(S \cup A)$ has 91 people. (e) $\left(M^{\prime} \cup O^{\prime}\right) \cap B$
The set $\left(M^{\prime} \cup O^{\prime}\right) \cap B$ has 28 people. (f) Describe the set $Y \cap(S \cup B)$ in words. A. The set is all those who invest in stocks and bonds or are age 18-29. B. The set is all those who invest in stocks or bonds or are age 18-29.
Survey Results C. The set is all those who invest in stocks and bonds and are age 18-29. D. The set is all those who invest in stocks or bonds and are age 18-29. \begin{tabular}{|lcccc|} \hline Age & Stocks $(\mathbf{S})$ & \begin{tabular}{c} Bonds \\ (B) \end{tabular} & \begin{tabular}{c} Savings \\ Accounts \\ $($ A) \end{tabular} & Totals \\ \hline $18-29(\mathrm{Y})$ & 4 & 3 & 14 & 21 \\ \hline $30-49(\mathrm{M})$ & 11 & 4 & 12 & 27 \\ \hline 50 or over $(\mathrm{O})$ & 32 & 21 & 11 & 64 \\ \hline Totals & 47 & 28 & 37 & 112 \\ \hline \end{tabular} Print Done

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Problem 11647

Какая операция будет выполняться первой в выражении $K \vee K \& C$ ?

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Problem 11648

mylab.pearson.com/Student/PlayerHomework.aspx?homeworkId=685494365\&questionld=1\&flushed=false\&cld=8051021\&back=DoAssignments.aspx?view=h... Finish update ne MATH 1414 College Algebra - Oct. 15 through Dec. 13, 2024 Anthony Reyes Homework: 10.1 Homework Question 2, 10.1.3 HW Score: 6.25\%, 1 of 16 points Save estion list
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Graph the ellipse and locate the foci. $\frac{x^{2}}{25}+\frac{y^{2}}{64}=1$
Choose the correct graph below. A. B. c. D.

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Problem 11649

minules.
1. Peter. Tom, and Carl simultancously shoot at a target. Peter hits the target with a probability of $1 / 2$ . Tho with a probability of $2 / 3$ , and Carl with a probability of $3 / 4$ . a) Assume that only one of them hit the target. What is the probability that it was Carl? b) What is the most likely number of hits on the larget? Determine the expected vilue of the uumber hits.

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Problem 11650

(40) صحة اعتّاد صاحب المصنع من عدمه عند مستوى الدلالة الإجابة:

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Problem 11651

Find the equation of the axis of symmetry of the function $y=2 x^{2}-7 x+5$

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Problem 11652

INDEPENDENT Use the eliminatio 1 $\begin{array}{l} 3 x-y=9 \\ 2 x-y=7 \end{array}$

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Problem 11653

EXERCICE 2 (04 points) Un jeune agriculteur décide de pratiquer de la culture sous serre dans son champ. A cet effet, il choisit dans son plan de représentation un repère orthonormal $(O ; \vec{u}, \vec{v})$ . Il place dans ce repère deux points $A$ et $B$ dont les affixes respectives $z_{A}$ et $z_{B}$ sont des racines du polynôme $P$ défini par: $P(z)=2 z^{3}-3(1+i) z^{2}+4 i z+1-i, \text { où } z \in C .$
Son objectif est de pratiquer sa culture sous serre dans l'ensemble ( $E$ ) des points $M$ de son plan de représentation tels que $\|\overrightarrow{M A}+\overrightarrow{M B}+2 \overrightarrow{M O}\| \leq 2$ , qui contient un point du segment $[A B]$ . 1) Vérifier que 1 et $i$ sont des racines de $P$ . 2) Déterminer le polynôme $g$ tel que $P(z)=(z-1)(z-i) g(z)$ . 3) Résoudre dans $\mathbb{C}$ l'équation $P(z)=0$ . (0,5 pt) (0,5 pt) (0,5 pt) 4) On pose $z_{A}=1, z_{B}=i$ et $z_{C}=\frac{1}{2}+\frac{1}{2} i$ . a) Placer les points $A, B$ et $C$ d'affixes respectives $z_{A}, z_{B}$ et $z_{C}$ dans le repère orthonormal $(O ; \vec{u}, \vec{v})$ en choisissant comme unite graphique 4 cm . ( $0,75 \mathrm{pt}$ ) b) Démontrer que $C$ est le milieu de $[A B]$ , puis que $C$ appartient à l'ensemble $(E)$ ., ( $0,5 \mathrm{pt}$ ) c) Déterminer l'affixe $z_{G}$ du point $G$ barycentre du système $\{(A, 1) ;(B, 1) ;(0,2)\}$ , puis placer $G$ . ( $0,5 \mathrm{pt}$ ) 5) Déterminer puis construire l'ensemble ( $E$ ) des points $M$ du plan tels que $\|\overrightarrow{M A}+\overrightarrow{M B}+2 \overrightarrow{M O}\| \leq 2$ ( $0,5 \mathrm{pt}$ ) 6) Le jeune agriculteur atteindra-t-il son objectif? ( $0,25 \mathrm{pt}$ )

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Problem 11654

2. Gamze ile Gizem sayı tahmini oyununu oynuyorlar. Oyuna göre bir kişi aklından aşağıdaki şartları sağlayan bir sayı tutuyor. Oyuna Gamze başııyor ve aklından tuttuğu sayı ile ilgili aşağıdaki ipuçlarııı veriyor. $>500$ ile 800 arasında üç basamaklı bir sayıdır. > Onlar basmağı 6'dan büyüktür. > Birler basamağındaki rakam tektir. Buna göre Gizem'in bu sayıyı ilk tahminde bulma olasılığı kaçtır? A) $\frac{1}{25}$ B) $\frac{1}{35}$ C) $\frac{1}{45}$ D) $\frac{1}{55}$

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Problem 11655

16. The Euler differential equation $x^{2} y^{\prime \prime}+5 x y^{\prime}+3 y=0, \quad y(1)=1, \quad y^{\prime}(1)=0$ has a solution (a) $y(t)=-\frac{1}{2} x^{-3}+\frac{3}{2} x^{-1}$ (b) $y(t)=x^{-1} \ln x$ (c) $y(t)=x^{-3}(1+2 \ln x)$ (d) $y(t)=x^{-3}+2 \ln x$

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Problem 11656

Aufgabe 1: Handelt es sich um eine Bernoulli-Kette? Geben Sie gegebenenfalls ihre Länge $n$ und die Trefferwahrscheinlichkeit $p$ an. a) Eine ideale Münze wird zehnmal geworfen und es wird jedes Mal notiert, ob „Zahl" erscheint. b) Eine "Münze" aus Knetmasse wird zehnmal geworfen und es wird jedes Mal notiert, ob „Zahl" erscheint. c) Ein idealer Würfel wird siebenmal geworfen und es wird jedes Mal die Augenzahl notiert. d) Ein idealer Würfel wird siebenmal geworfen und es wird jedes Mal notiert, ob eine Drei erscheint.
Aufgabe 2: Das abgebildete Glücksrad wird dreimal gedreht. a) Begründe, dass es sich dabei um eine Bernoullie-Kette handelt und gib die Länge $n$ sowie die Trefferwahrscheinlichkeit $p$ an. b) Gib alle Ergebnisse an, die zu den folgenden Ereignissen gehören (in der Form bgb usw.). Berechne außerdem die Wahrscheinlichkeit dieser Ereignisse. A: dreimal blau B: zuerst blau, dann zwei mal gelb C: genau ein mal blau
Aufgabe 3: Eine verbeulte Münze wird vier mal geworfen. a) Begründe, dass es sich dabei um eine Bernoullie-Kette handelt und gib die Länge $n$ sowie die Trefferwahrscheinlichkeit $p$ an. b) Berechne die Wahrscheinlichkeit der folgenden Ereignisse.
A: Es fällt einmal Zahl. B: Es fällt dreimal Zahl. C: Es fällt zweimal Zahl.

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Problem 11657

Find the $1^{\text {st }}$ and $2^{\text {nd }}$ derivative of y with respect to x from the given parametric equations a. $\quad x=\ln \left(\frac{1+e^{-2 t}}{1-e^{-2 t}}\right), y=\arctan (2 t)$

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Problem 11658

II. Write the place value of the circled digits. a. 6.56 b. 21 . (2) 01 c. 188.1 6) 3 e. 130 . (9) 25

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Problem 11659

Wrice the atcle vatue of the circled digits - E5 (2) 21.291 c 188.163 d. 61.112 $=130.925$

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Problem 11660

In Exercises 1-4, find the domain of the function $f$ . Use limits to describe the behavior of $f$ at value(s) of $x$ not in its domain.
1. $f(x)=\frac{1}{x+3}$
2. $f(x)=\frac{-3}{x-1}$
3. $f(x)=\frac{-1}{x^{2}-4}$
4. $f(x)=\frac{2}{x^{2}-1}$

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Problem 11661

Find the domain of the function $f(x) = \sqrt{1-x} + \sqrt{x-1}$ .

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Problem 11662

Q1: For some event $A$ with $P(A)=0.1$ then $P(A \mid \Omega)+P(\phi \mid \Omega)+P(\Omega \mid A)=$ A) 0.1 B) 1.2 C) 2.3 D) 1.1 E) None
Q2: Let $X$ be a random variable with $E(X)=1$ and $E\left(X^{10}+X\right)=2$ Then $E\left(X^{10}\right)=$ A) 0 B) 1 C) 2 D) 3 E) None
Q3: For $x>0$ we have $u(x)+3 \delta(y)=$ A) 1 B) 2 C) 3 D) 4 E) None
Q4: For $R_{X Y}=\{(0,0),(1,1)\}$ , if $f(0,0)=0.2$ and $f(1,1)=0.8$ . Then $E(X Y)=$ A) 1 B) 0.2 C) 0.8 D) 0.7 E) None
Q5: For some disjoint events $A, B$ with $P(A)=0.2$ and $P(B)=0.4$ , we have $P(A \cup B)=$ A) 0.2 B) 0.3 C) 0.4 D) 0.6 E) None
Q6: If $P(A)=0.2$ and $P(\bar{A} \cap B)=P(\bar{B} \cap A)$ , then $P(B)=$ A) 0.1 B) 0.2 C) 0.4 D) 0.6 E) None
Q7: $\int_{-\infty}^{\infty} x^{3} \delta(x+1) d x=$ A) -1 B) 8 C) -8 D) 1 E) None

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Problem 11663

(12) Let $y_{1}$ and $y_{2}$ be two solutions of the DE $t^{2} y^{\prime \prime}-t(t+1) y^{\prime}+y=0, \quad t>0 .$
If $W\left(y_{1}, y_{2}\right)(2)=2 \mathrm{e}^{2}$ , then $W\left(y_{1}, y_{2}\right)(-1)=$ (a) -e (b) $\mathrm{e}^{-1}$ (c) $e^{2}$ (d) $-\mathrm{e}^{-1}$ (e) $e$

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Problem 11664

1. Let $a_{n}=-n^{2}+18 n-56$ where $n \in \mathbb{N}$ . What is the smallest $n_{0} \in \mathbb{N}$ such that $a_{n}$ is decreasing for all $n \geqslant n_{0}$ .
ANS:

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Problem 11665

11 Pada gambar berikut titik P menunjukkan kawat berarus listrik yang arahnya keluar bidang gambar. 2 3 5 Kin 4 Atas Kanan Bawah Induksi magnet yang arahnya ke atas pada gambar adalah nomor.... A. 1 B. ABCD C. 2 12345 D. 4 E. 5

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Problem 11666

Identify the coefficient and degree of the term: $-10 x^{4} b^{4}$ The coefficient is $\square$ and the degree is $\square$ Question Help: Video Written Example

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Problem 11667

Leah Hernandez-Matute 8 of 12 Next
Your Favorite Mistake It takes 20 tomato slices to make 2 of Ivan's pizzas.
Two students made a mistake when making 6 pizzas.
Select your favorite mistake.
Ivan (120 slices) Jada (24 slices)
What advice would you give to Ivan?
Jada: 24 slices

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Problem 11668

Jack is a banker who enjoys having fun with friends after work. The team will usually meet at a beer bar joint to drink and eat kebab. Jack will usually eat 5 sticks of pork kebab and drink three jugs ( 750 ml is volume of the jug) of beer. His caloric needs for the day is 1800 Calories as a young man.
Analysis of the kebab shows each contains 5 grams fat.
Calculate the \% fat contribution of the fat from the kebab to his daly energy needs.
If 100 g of beer contains 43 Cal , and assuming a jug of 750 mls is equivalent to 750 g . Calculate total energy he consumed while with friends.

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Problem 11669

Find Unit Rates
1. Lisa takes 27 minutes to run 3 miles. A. Write Lisa's unit rate in minutes per mile. B. Write Lisa's unit rate in miles per minute. C. At this rate, how many miles will Lisa have run after 45 minutes? D. At this rate, how long would it take Lisa to run 7 miles?
2. A 5 -pound bag of carrots costs $\$ 2.69$ , and a 2 -pound bag costs $\$ 1.89$ . A. Which bag provides a greater weight per dollar spent? B. How much does 10 pounds of carrots cost when purchasing 5-pound bags? C. How much does 10 pounds of carrots cost when purchasing 2-pound bags? D. What is the difference in price between each option when purchasing 10 pounds of carrots?

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Problem 11670

Given that Alice and Bob are using the Data Encryption Standard (DES), and the data entered into the substitution boxes (S-boxes) is ( 9 F C6 5B 05 AD 38) ${ }_{16}$ . What is the output of the S-boxes (in hexadecimal)? Explain your answer by highlighting the resulting values in the S-boxes given below. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline & 0 & 1 & 2 & 3) & 4 & 5 & $6 \mid$ & 7 & 8 & 9 & A & B & c & D & E & F \\ \hline 0 & E & 4 & D & 1 & 2 & F & B & 8 & 3 & A & 6 & C & 5 & 9 & 0 & 7 \\ \hline 1 & 0 & F & 7 & 4 & E & 2 & D & 1 & A & 6 & c & B & 9 & 5 & 3 & 8 \\ \hline 2 & 4 & 1 & E & 8 & D & 6 & 2 & B & F & C & 9 & 7 & 3 & A & 5 & 0 \\ \hline (3) & F & C & 8 & 2 & 4 & 9 & 1 & 7 & 5 & B & 3 & E & A & 0 & 6 & \\ \hline \end{tabular}
S5 \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline & ( & & 2 & 3 & 4 & 5 & 6 & 7 & & 9 & A & B & C & D & E & F & \\ \hline 0 & 2 & C & 4 & 1 & 7 & A & B & 6 & 8 & 5 & 3 & F & D & 0 & E & 9 & \\ \hline (1) & E & B & 2 & C & 4 & 7 & D & 1 & 5 & 0 & F & A & 3 & 9 & 8 & 6 & \\ \hline 2 & 4 & 2 & 1 & B & A & D & 7 & 8 & F & 9 & C & 5 & 6 & 3 & 0 & E & \\ \hline 3 & B & 8 & c & 7 & 1 & E & 2 & D & 6 & F & 0 & 9 & A & 4 & 5 & 3 & \\ \hline \end{tabular} s2 \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & $A$ & $B$ & $C$ & $D$ & $(E)$ & $F$ \\ \hline 0 & F & 1 & 8 & E & 6 & B & 3 & 4 & 9 & 7 & 2 & D & C & 0 & 5 & A \\ \hline 1 & 3 & D & 4 & 7 & F & 2 & 8 & E & C & 0 & 1 & A & 6 & 9 & B & 5 \\ \hline (2) & 0 & E & 7 & B & A & 4 & D & 1 & 5 & 8 & C & 6 & 9 & 3 & 2 & F \\ \hline 3 & D & 8 & A & 1 & 3 & F & 4 & 2 & B & 6 & 7 & C & 0 & 5 & E & 9 \\ \hline \end{tabular}
S6 \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & A) & B & C & (1) & E & F & \\ \hline (c) & C & 1 & A & F & 9 & 2 & 6 & 8 & 0 & D & 3 & 4 & E & 7 & 5 & B & \\ \hline 1 & A & F & 4 & 2 & 7 & c & 9 & 5 & 6 & 1 & D & E & 0 & B & 3 & 8 & \\ \hline 2 & 9 & E & F & 5 & 2 & 8 & C & 3 & 7 & 0 & 4 & A & 1 & D & B & 6 & \\ \hline 3 & 4 & 3 & 2 & c & 9 & 5 & F & A & B & E & 1 & $7 \mid$ & 6 & 0 & 8 & D & \\ \hline \end{tabular}
53 \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & & A & A & B & (c) & D & E & & F \\ \hline 0 & A & 0 & 9 & E & 6 & 3 & F & 5 & 1 & D & c & C 7 & 7 & $B$ & 4 & 2 & & 8 \\ \hline (1) & D & 7 & 0 & 9 & 3 & 4 & 6 & A & 2 & 8 & 5 & 5 & E & C. & B & F & & 1 \\ \hline 2 & D & 6 & 4 & 9 & 8 & F & 3 & 0 & B & 1 & 2 & & C & 5 & A & E & & 7 \\ \hline 3 & 1 & A & D & 0 & 6 & 9 & 8 & 7 & 4 & F & E & A & 3 & B & 5 & 2 & & c \\ \hline \end{tabular}
57 \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & (4) & B & C & D & E & F & \\ \hline 0 & 4 & B & 2 & E & F & 0 & 8 & D & 3 & C & 9 & 7 & 5 & A & 6 & & \\ \hline 1 & D & 0 & B & 7 & 4 & 9 & 1 & A & E & 3 & 5 & C & 2 & F & 8 & 6 & 6 \\ \hline (2) & 1 & 4 & B & D & C & 3 & 7 & E & A & F & 6 & 8 & 0 & 5 & 9 & 2 & 2 \\ \hline 3 & 6 & B & D & 8 & 1 & 4 & A & 7 & 9 & 5 & 0 & F & E & 2 & 3 & & c \\ \hline \end{tabular} S4 \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & $A$ & B & C & D & E & F \\ \hline 0 & 7 & D & E & 3 & 0 & 6 & 9 & A & 1 & 2 & 8 & 5 & B & C & 4 & F \\ \hline C & D & 8 & B & 5 & 6 & F & 0 & 3 & 4 & 7 & 2 & C & 1 & A & E & 9 \\ \hline 2 & A & 6 & 9 & 0 & C & B & 7 & D & F & 1 & 3 & E & 5 & 2 & 8 & 4 \\ \hline 3 & 3 & F & 0 & 6 & A & 1 & D & 8 & 9 & 4 & 5 & B & C & 7 & 2 & E \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & A & B & (c) & D & E & F \\ \hline 0 & D & 2 & 8 & 4 & 6 & F & B & 1 & A & 9 & 3 & E & 5 & 0 & C & 7 \\ \hline 1 & 1 & F & D & 8 & A & 3 & 7 & 4 & C & 5 & 6 & B & 0 & E & 9 & 2 \\ \hline (2) & 7 & B & 4 & 1 & 9 & C & E & 2 & 0 & 6 & A & D & F & 3 & 5 & 8 \\ \hline 3 & 2 & 1 & E & 7 & 4 & A & 8 & D & F & c & 9 & 0 & 3 & 5 & 6 & \\ \hline \end{tabular}

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Problem 11671

Verify the conclusion of Green's Theorem by evaluating both sides of each of the two forms of Green's Theorem for the field $F=6 x i-2 y j$ . Take the domains of integration in each case to be the disk $R: x^{2}+y^{2} \leq a^{2}$ and its bounding circle $C$ : $r=(a \cos t) i+(a \sin t) j, 0 \leq t \leq 2 \pi$ . i Click here for the two forms of Green's Theorem.
The flux is $\square$ (Type an exact answer, using $\pi$ as needed.)

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Problem 11672

Read a reporter's notes, taken at a press conference held by the Georgia Department of Economic Development, and answer the question. \begin{tabular}{|c|c|} \hline & In 2018, 6\%\% of Georgla's state Gross Domestic Product \\ \hline & came from $\$ 40.6$ billion of exported goods. \\ \hline & In 1992, 9.8\% of all jobs in Ceorgia were tied to trade; by \\ \hline & 2018. $20.2 \%$ of all jobs in the state were tied to trade. \\ \hline & \$36.9 bilion of manufactured products exported trom \\ \hline & Georgla supported atmost 170,000 pous in 2016. \\ \hline \end{tabular}
What would be an appropriate title for the journalist's article covering the press conference? A. Georgia Hurts its Economy by Sending Jobs and Industries Overseas B. Percentage of Georgia's Economy Tied to Trade is Too Small to Measure C. Exports Bring Jobs and Sizable Growth to Georgia's State Economy D. Georgia is Too Reliant on Trade to Drive State's Economic Growth

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Problem 11673

Aufgabe $5 \quad$ Bilden Sie hier auch $f^{\prime \prime}(x)$ $f(x)=\frac{4 x^{2}}{\left(x^{2}+1\right)^{3}}$

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Problem 11674

Which fraction is equivalent to $\frac{1}{3}$ ? $\frac{1}{2}$ $\frac{3}{9}$ $\frac{2}{5}$ $\frac{3}{8}$
Submit

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Problem 11675

Graph each equation. 5) $y=x^{2}-2 x-3$
Identify the $\min / \max$ value of each. Th

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Problem 11676

Ерөнхий шинж чанартай, ялгаатай юмсын цуглуулгыг олонлог гэнэ. Тэгвэл дараах зүйлүүдээс аль нь анхны тоон олонлогт багтах вэ? $2,7,8,1,13,15,30,25,54$

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Problem 11677

1. $y>x$
4. $-x+8 \leq y$
2. $y \geq x$
5. $y<10 x-200$
3. $y<-8$
6. $2 x+3 y>60$

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Problem 11678

Ерөнхий шинж чанартай, ялгаатай юмсын цуглуулгыг олонлог гэнэ. Тэгвэл дараах зүйлүүдээс аль нь зохиомол тоон олонлогт багтах вэ? $-3,2 \sqrt{3}, 12,4,100,54,-7,7$

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Problem 11679

Lesson 4-1 Rational Numbers Write each fraction as a decimal. Determine if the decimal is a terminating decimal. (Examples 1 and 2)
1. $\frac{7}{8}$
2. $\frac{2}{5}$
3. $-\frac{4}{5}$

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Problem 11680

Ерөнхий шинж чанартай, ялгаатай юмсын цуглуулгыг олонлог гэнэ. Тэгвэл дараах зүйлүүдээс аль нь эерэг тоон олонлотт багтах вэ? $5,8,-8,7,18,-54,-5$

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Problem 11681

Ерөнхий шинж чанартай, ялгаатай юмсын цуглуулгыг олонлог гэнэ. Тэгвэл дараах зүйлүүдээс аль нь анхны тоон олонлогт багтах вэ? $-13,7,13,-7,4,8$

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Problem 11682

$\text{Ерөнхий шинж чанартай, ялгаатай юмсын цуглуулгыг олонлог гэнэ. Тэгвэл дараах зүйлүүдээс аль нь зохиомол тоон олонлогт багтах вэ?}$ $18, 72, 81, 13, 7, 64, -7, 17$ $\text{зохиомол тоо анхны тоо гэж юу вэ}$ $\text{аль нь зохиомол тоо вэ}$

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Problem 11683

Graph the given function. State the period, amplitude, phase shift, and vertical shift of the function. $y=-\sin \left(x+\frac{\pi}{6}\right)$

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Problem 11684

Дараалж буруу бодсон тоо
Еренхий шинж чанартай, ялгаатай юмсын цуглуулгыг олонлог гэня. Тэгвэл дараах зуитлуудзсс аль нь бухэл тоОн олонлогт 6artax B9? $2.3,-4,8 \sqrt{7}, 2.8,2,8$

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Problem 11685

Математикт $a$ нь $A$ олонлогийн элемент мөн бол $a \in A$ , элемент биш бол $a \notin A$ гэж тэмдэглэх ба үүнийг $a$ элемент A олонлогт харьяалагдана (харьяалагдахгүй ) гэж уншина. $A$ олонлог нь эерэг тоон олонлог бол -8 гэсэн тоо $A$ олонлогт харьяалагдах уу? харьяалагдахгүй юу?

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Problem 11686

Математикт $a$ нь $A$ олонлогийн элемент мөн бол $a \in A$ , элемент биш бол $a \notin A$ гэж тэмдэглэх ба үүнийг $а$ элемент А олонлогт харьяалагдана ( харьяалагдахгүй ) гэж уншина. $A$ олонлог нь сөрөг тоон олонлог бол 45 гэсэн тоо $A$ олонлогт харьяалагдах уу? харьяалагдахгүй юу?

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Problem 11687

D My IXL Learning Assessment Analytics Jakayla Your teacher (Dodgen) has started a Group Jaml Join the Jam Eighth grade > JJ.5 Make predictions 38C Video (b) Questions answered
A band played an encore at 2 of its last 4 shows. Considering this data, how many of the band's next 14 shows would you expect to have an encore? $\square$ shows Submit 11 Time elapsed 00 04 07 HIK MIN sec SmartScore out of 100 34 Work it out Not feeling ready yet? These can help:

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Problem 11688

Математикт $a$ нь $A$ олонлогийн элемент мөн бол $a \in A$ , элемент биш бол $a \notin A$ гэж тэмдэглэх ба үүнийг $а$ элемент А олонлогт харьяалагдана ( харьяалагдахгүй ) гэж уншина. $A$ олонлог нь тэгш тоон олонлог бол 14 гэсэн тоо $A$ олонлогт харьяалагдах уу? харьяалагдахгүй юу?

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Problem 11689

Математикт $а$ нь $A$ олонлогийн элемент мөн бол $a \in A$ , элемент биш бол $a \notin A$ гэж тэмдэглэх ба үүнийг $а$ элемент А олонлогт харьяалагдана ( харьяалагдахгүй ) гэж уншина. $A$ олонлог нь натурал тоон олонлог бол $2 \sqrt{3}$ гэсэн тоо $A$ олонлогт харьяалагдах уу? харьяалагдахгүй юу?

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Problem 11690

Which sequence of transformations produces an image that is not congruent to the original figure? A. A translation of 6 units to the left followed by a reflection across the $x$ -axis B. A reflection across the $x$ -axis followed by a rotation of $180^{\circ}$ counterclockwise C. A rotation of $90^{\circ}$ clockwise followed by a translation of 4 units to the left D. A translation of 4 units to the left followed by a dilation of a factor of 3

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Problem 11691

Which of the following is true about the expression $c^{5}+\left(-9 c^{2}\right)+40 c+7 d^{7} e^{3}-5 c^{3}+4 d ?$ The coefficient of the third term is $c$ . The coefficient of the fourth term is 7. The coefficient of the first term is 0 . There are no negative coefficients.

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Problem 11692

Determine algebraically whether the given function is even, odd, or neither. $f(x)=2 x+|-5 x|$
Choose the correct answer. Even Neither

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Problem 11693

Parallelogram $A B C D$ has vertex coordinates $A(0,1), B(1,3), C(4,3)$ , and $D(3$ , 1). It is translated 2 units to the right and 3 units down and then rotated $180^{\circ}$ clockwise around the origin. What are the coordinates of $A$ ? A. $(-2,2)$ B. $(-4,-3)$ C. $(-3,-4)$ D. $(5,2)$

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Problem 11694

The given graph describes the value of a computer over time. Select the TWO true statements below. The relationship between value and time is linear The initial value of the computer is $\$ 500$ By the time the computer is 4 years old, its value has decreased by $\$ 4000$
The rate of depreciation is greater when the computer is 2 years old than when it is 5 years old

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Problem 11695

$\left(3, \ln (5)^{3} \cdot 3\right)$
10. The graph of $y = f(x)$ shown above, is the graph of a logarithmic function. Which equation below represents the inverse function? \begin{itemize} \item (A) $f^{-1}(x) = e^{x+3} - 2$ \item (B) $f^{-1}(x) = 3e^{x} - 2$ \item (C) $f^{-1}(x) = e^{x+2} - 3$ \item (D) $f^{-1}(x) = e^{x-3} + 2$ \end{itemize} The asymptote is $-2$ .

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Problem 11696

Which expression has the greatest value? $\frac{1}{5}\left(\frac{5^{3}}{5^{2}}\right)^{2}$ $\frac{5^{8}}{\left(5^{2}\right)^{4}}$ $\left(\frac{5^{3}}{5^{4}}\right)^{3}$ $\frac{\left(5^{2}\right)^{3}}{5^{4}}$ sUbmit all

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Problem 11697

Question 15 of 40 What are the center and radius of the circle defined by the equation $x^{2}+y^{2}-6 x+10 y+25=0$ ? A. Center $(-3,5)$ ; radius 9 B. Center $(3,-5)$ ; radius 3 C. Center $(3,-5)$ ; radius 9 D. Center $(-3,5)$ ; radius 3 SUBMIT

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Problem 11698

Jill is factoring the expression $13 x y-52 y$ . Her work is shown below.
Factors of $13 x y: 1,13, x, y$ Factors of $52 y: 1,2,26,52, y$ GCF: y Factored expression: $y(13 x-52)$
Which best describes the accuracy of Jill's solution? Jill's solution is accurate. Jill omitted a factor pair, which affected the GCF and factored expression. Jill made an error when determining the GCF from her list of factors. Jill made an error when writing the factored expression.

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Problem 11699

What shape is generated when rectangle $A B C D$ is rotated around the vertical line through $A$ and $D$ ? A. Pyramid B. Prism C. Cylinder D. Cone

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Problem 11700

Linda uses the simple interest formula to calculate the interest fee on her recent loan. Her interest rate is $5 \%$ . What value will Linda use for $\boldsymbol{\mathcal { T }}$ , interest rate, in her calculation? 0.05 0.005 0.5 5.0

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Analyze

Problem 11601

Graph f(x)=log⁡2(1−x)f(x)=\log _{2}(1-x)f(x)=log2​(1−x) below. First locate the vertical asymptote, then plot two points on the graph.Clear All Draw: □\square□ Check Answer

Problem 11602

Problem 11603

Problem 11604

Problem 11605

Problem 11606

Find the center of the ellipse defined by the equation (x+1)29+(y+3)216=1\frac{(x+1)^{2}}{9}+\frac{(y+3)^{2}}{16}=19(x+1)2​+16(y+3)2​=1. If necessary, round to the nearest tenth.Answer Attempt 1 out of 2Center: □\square□ , □\square□

Problem 11607

Problem 11608

What is the unit price of a quart of juice for $0.79?\$ 0.79 ?$0.79? A. $3.16/\$ 3.16 /$3.16/ gallon B. 3 half-gallons for $5.40\$ 5.40$5.40 C. $3.16/lb\$ 3.16 / \mathrm{lb}$3.16/lb D. 7 pints for $4.20\$ 4.20$4.20

Problem 11609

Which of these is a point?Choose 1 answer: (A) (B) ⟷\longleftrightarrow⟷ (C) (D)D

Problem 11610

Problem 11611

Problem 11612

Problem 11613

Problem 11614

Fill in the blank so that the resulting statement is true. If log⁡7(x+5)=4\log _{7}(x+5)=4log7​(x+5)=4, then \qquad =x+5=x+5=x+5.If log⁡7(x+5)=4\log _{7}(x+5)=4log7​(x+5)=4, then □\square□ =x+5=x+5=x+5.

Problem 11615

Problem 11616

Problem 11617

Problem 11618

Find the area under y=4cos⁡(x)y=4 \cos (x)y=4cos(x) and above y=4sin⁡(x)y=4 \sin (x)y=4sin(x) for π2≤x≤3π2\frac{\pi}{2} \leq x \leq \frac{3 \pi}{2}2π​≤x≤23π​. (Note that this area may not be defined over the entire interval.) area === □\square□

Problem 11619

Problem 11620

Problem 11621

Problem 11622

Problem 11623

Problem 11624

Problem 11625

Problem 11626

Problem 11627

Problem 11628

Problem 11629

Problem 11630

Compare 0.0000635 and 0.000456 . Write <,><,><,>, or === in the blank. (1 point) 0.0000635□0.0004560.0000635 \square 0.0004560.0000635□0.000456Check answer Remaining Attempts : 3

Problem 11631

Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of symmetry. Use the graph to determine the function's domain and range. f(x)=x2+6x+3f(x)=x^{2}+6 x+3f(x)=x2+6x+3What is the vertex? □\square□ (Type an ordered pair.)

Problem 11632

Problem 11633

Problem 11634

Determine whether the relation in the mapping diagram is a function.Use the drop-down arrows to complete the sentences.The relation in the mapping diagram □\square□ a function because □\square□

Problem 11635

Problem 11636

Problem 11637

Problem 11638

log⁡79\log _{7} 9log7​9

Problem 11639

Problem 11640

Problem 11641

Problem 11642

Problem 11643

Problem 11644

Problem 11645

Problem 11646

Problem 11647

Какая операция будет выполняться первой в выражении K∨K&CK \vee K \& CK∨K&C ?

Problem 11648

Problem 11649

Problem 11650

(40) صحة اعتّاد صاحب المصنع من عدمه عند مستوى الدلالة الإجابة:

Problem 11651

Find the equation of the axis of symmetry of the function y=2x2−7x+5y=2 x^{2}-7 x+5y=2x2−7x+5

Problem 11652

INDEPENDENT Use the eliminatio 1 3x−y=92x−y=7\begin{array}{l} 3 x-y=9 \\ 2 x-y=7 \end{array}3x−y=92x−y=7​

Problem 11653

Problem 11654

Problem 11655

Problem 11656

Problem 11657

Find the 1st 1^{\text {st }}1st and 2nd 2^{\text {nd }}2nd derivative of y with respect to x from the given parametric equations a. x=ln⁡(1+e−2t1−e−2t),y=arctan⁡(2t)\quad x=\ln \left(\frac{1+e^{-2 t}}{1-e^{-2 t}}\right), y=\arctan (2 t)x=ln(1−e−2t1+e−2t​),y=arctan(2t)

Problem 11658

II. Write the place value of the circled digits. a. 6.56 b. 21 . (2) 01 c. 188.1 6) 3 e. 130 . (9) 25

Problem 11659

Wrice the atcle vatue of the circled digits - E5 (2) 21.291 c 188.163 d. 61.112 =130.925=130.925=130.925

Problem 11660

Problem 11661

Find the domain of the function f(x)=1−x+x−1 f(x) = \sqrt{1-x} + \sqrt{x-1} f(x)=1−x​+x−1​.

Graph $f(x)=\log _{2}(1-x)$ below. First locate the vertical asymptote, then plot two points on the graph.
Clear All Draw: $\square$ Check Answer

Find the center of the ellipse defined by the equation $\frac{(x+1)^{2}}{9}+\frac{(y+3)^{2}}{16}=1$ . If necessary, round to the nearest tenth.
Answer Attempt 1 out of 2
Center: $\square$ , $\square$

What is the unit price of a quart of juice for $\$ 0.79 ?$ A. $\$ 3.16 /$ gallon B. 3 half-gallons for $\$ 5.40$ C. $\$ 3.16 / \mathrm{lb}$ D. 7 pints for $\$ 4.20$

Which of these is a point?
Choose 1 answer: (A) (B) $\longleftrightarrow$ (C) (D)
D

Fill in the blank so that the resulting statement is true. If $\log _{7}(x+5)=4$ , then $\qquad$ $=x+5$ .
If $\log _{7}(x+5)=4$ , then $\square$ $=x+5$ .

Find the area under $y=4 \cos (x)$ and above $y=4 \sin (x)$ for $\frac{\pi}{2} \leq x \leq \frac{3 \pi}{2}$ . (Note that this area may not be defined over the entire interval.) area $=$ $\square$

Compare 0.0000635 and 0.000456 . Write $<,>$ , or $=$ in the blank. (1 point) $0.0000635 \square 0.000456$
Check answer Remaining Attempts : 3

Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of symmetry. Use the graph to determine the function's domain and range. $f(x)=x^{2}+6 x+3$
What is the vertex? $\square$ (Type an ordered pair.)

Determine whether the relation in the mapping diagram is a function.
Use the drop-down arrows to complete the sentences.
The relation in the mapping diagram $\square$ a function because $\square$

$\log _{7} 9$

Какая операция будет выполняться первой в выражении $K \vee K \& C$ ?

Find the equation of the axis of symmetry of the function $y=2 x^{2}-7 x+5$

INDEPENDENT Use the eliminatio 1 $\begin{array}{l} 3 x-y=9 \\ 2 x-y=7 \end{array}$

Find the $1^{\text {st }}$ and $2^{\text {nd }}$ derivative of y with respect to x from the given parametric equations a. $\quad x=\ln \left(\frac{1+e^{-2 t}}{1-e^{-2 t}}\right), y=\arctan (2 t)$

Wrice the atcle vatue of the circled digits - E5 (2) 21.291 c 188.163 d. 61.112 $=130.925$

Find the domain of the function $f(x) = \sqrt{1-x} + \sqrt{x-1}$ .

1. Let $a_{n}=-n^{2}+18 n-56$ where $n \in \mathbb{N}$ . What is the smallest $n_{0} \in \mathbb{N}$ such that $a_{n}$ is decreasing for all $n \geqslant n_{0}$ .
ANS:

Identify the coefficient and degree of the term: $-10 x^{4} b^{4}$ The coefficient is $\square$ and the degree is $\square$ Question Help: Video Written Example

Leah Hernandez-Matute 8 of 12 Next
Your Favorite Mistake It takes 20 tomato slices to make 2 of Ivan's pizzas.
Two students made a mistake when making 6 pizzas.
Select your favorite mistake.
Ivan (120 slices) Jada (24 slices)
What advice would you give to Ivan?
Jada: 24 slices

Aufgabe $5 \quad$ Bilden Sie hier auch $f^{\prime \prime}(x)$ $f(x)=\frac{4 x^{2}}{\left(x^{2}+1\right)^{3}}$

Which fraction is equivalent to $\frac{1}{3}$ ? $\frac{1}{2}$ $\frac{3}{9}$ $\frac{2}{5}$ $\frac{3}{8}$
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