Browse Math problems Studdy Solved!

Problem 51201

While conducting an experiment studying the reaction of various metals with water and HCl , the following observations were made: a) Pb formed bubbles in HCl , but not in water b) No bubbles were formed with Au in water or HCl c) Li formed bubbles in cold water d) Mn formed bubbles in hot water
Based on these observations, which of the following correctly lists the above metals in increasing reactivity (most reactive on right)? $\mathrm{Li}<\mathrm{Pb}<\mathrm{Mn}<\mathrm{Au}$ $\mathrm{Li}<\mathrm{Mn}<\mathrm{Pb}<\mathrm{Au}$ $\mathrm{Au}<\mathrm{Pb}<\mathrm{Mn}<\mathrm{Li}$ $\mathrm{Mn}<\mathrm{Pb}<\mathrm{Au}<\mathrm{Li}$ $\mathrm{Au}<\mathrm{Mn}<\mathrm{Pb}<\mathrm{Li}$

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Problem 51202

When using the spreadsheet (work sheet) in preparing the statement of cash flows by the indirect method, the Balance columns should total to a. the totals shown on the balance sheets for their respective periods b. the net increase in cash during the period c. zero d. none of these choices

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Problem 51203

What is the molality of ethanol $\left(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}\right)$ in an aqueous solution that is $39.8 \%$ ethanol by mass? a. 1 m b. 14 m c. 0 m d. 1 m e. 84.0 m

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Problem 51204

Answer the following questions. a. How many tens would you need to show 300? Explain your reasoning. $\begin{array}{l} \text { xplain your reasoning. } \\ \text { We nced hundreads so } y^{0} \\ 100=30^{\circ} \end{array}$ a. How many hundreds are the same as having 60 tens? Explain your reasoning. b. 70 tens $=$ $\qquad$ hundreds c. 4 hundreds $=$ $\qquad$ tens

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Problem 51205

Are the functions below polynomials? If they are, enter their degree. If not, enter NONE. $y=-9+2 x^{10}-8 \sqrt{x^{7}}$ has degree $\square$ help (numbers) $y=\sqrt{9} x^{6}+6 x^{3}$ has degree $\square$ help (numbers)

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Problem 51206

7 A rectangular yard is 18 feet long. The area of the yard is 400.5 square feet. What is the width of the yard? Explain.

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Problem 51207

17. Use a graphing calculator to write an equation of the best fit line for the data. Round to the nearest hundredth. \begin{tabular}{|l|l|l|l|l|l|l|l|l|} \hline $x$ & 2.2 & 2.5 & 2.8 & 3.5 & 5.1 & 6.3 & 8.5 & 9.6 \\ \hline $\boldsymbol{y}$ & 6.1 & 7.6 & 7.8 & 6.8 & 6.6 & 8.1 & 7.5 & 8.8 \\ \hline \end{tabular} $y=$ $\qquad$ $x+$ $\qquad$

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Problem 51208

1) Use the figure to answer the question.
Choose the correct equation to find the value of $a$ . $m \angle M L N=m \angle M L K$ $m \angle M L N+m \angle M L K=90^{\circ}$ $m \angle M L N=90^{\circ}+m \angle M L K$ $m \angle M L N+m \angle M L K=180^{\circ}$
2) Use the figure to answer the question.
Using the equation from question 1, find the value of a. $a=4.04$ $a=31$ $a=22.04$

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Problem 51209

8. $\frac{1}{3}\left(\ln (64)-\ln \left(8 x^{3}\right)\right)$

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Problem 51210

Consider the galvanic cell shown below (the contents of each half-cell are written beneath each compartment).
The standard reduction potentials are as follows: $\begin{array}{ll} \mathrm{Cr}^{3+}+3 \mathrm{e}^{-} \rightarrow \mathrm{Cr}(s) & E^{\circ}=-0.73 \mathrm{~V} \\ \mathrm{Br}_{2}(a q)+2 \mathrm{e}^{-} \rightarrow \\ 2 \mathrm{Br}^{-} \end{array} \quad E^{\circ}=+1.09 \mathrm{~V}$
What is the value of $E$ for this cell at $25^{\circ} \mathrm{C}$ ? a. 2.21 V b. 2.12 V c. 0.59 V d. 1.76 V e. 1.88 V

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Problem 51211

Two sides and an angle are given below. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results. $a=6, b=4, A=70^{\circ}$
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type an integer or decimal rounded to two decimal places as needed.)

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Problem 51212

Factor each expression: $\begin{array}{l} x^{2}-12 x+35=(x-5)(x-7) \\ x^{2}-2 x-24=(x-6)(x+4) \\ x^{2}+1 x-72=(x+9)(x-8) \end{array}$

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Problem 51213

9. Express $25 x^{2}-70 x+57$ in the form $(V x-W)^{2}+Z$ .

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Problem 51214

4. a) Explain how you would solve this problem: For what value of $n$ does the function $f(x)=2 x^{2}+6 x-n$ have only one zero? (1 mark) b) Use your strategy to find the value of $n$ . (3 marks)

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Problem 51215

$\text{Determine the pH of a solution prepared by adding } 370 \, \text{mL} \text{ of } 0.250 \, \text{M sodium hydrogen oxalate (NaHOOCCOO) to } 18.1 \, \text{g of sodium oxalate (Na}_2\text{OOCCOO)}.$ \text{Assume the volume of the solution does not change and that the } 5\% \text{ approximation is valid. A table of pKa values can be found here.} $\text{INSTRUCTIONS: Give your answer to TWO (2) decimal places in standard notation (i.e. 12.34 or 1.23). DO NOT include the units or extra spaces in your submission. If you include units or extra spaces the response will be marked as INCORRECT.}$ $0.823$ \text{Submit Answer} \text{Incorrect. Tries 2/6 Previous Tries} $\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.}$ \text{Dialogue Transcript:} $\text{assistant:} \text{Hello! It looks like you're working on a chemistry problem related to pH calculation. However, I see that there's a mention of a pKa table, which seems to be missing. Could you please provide the pKa values necessary for the calculation? Once I have that information, I can help you solve the problem step-by-step.}$ \text{If you have other information or specific calculations you've already done, feel free to share that too!} $\text{user:} \text{Pka of hooccoh=1.23, pkb of hooccoo=12.77}$

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Problem 51216

7. Use long division to divide $x^{4}-4 x^{3}+12 x^{2}-3 x+6$ by $x^{2}+8$

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Problem 51217

Compute the flux of the vector field $\mathbf{F}=<z, 0,2 x>$ through the surface $S$ with upward orientation and parameterizaton $\mathbf{r}(s, t)=\left\langle s^{2}, 2 s+t^{2}, t\right\rangle, 0 \leq s \leq 1,1 \leq t \leq 2 .$
Flux = $\square$

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Problem 51218

2. (2 pages) Consider the problem:
The average half-life of caffeine is 5 hours. This means that after 5 hours, half the amount of caffeine initially consumed will be present in a person's body. Use this information to answer the following questions if a cup of coffee contains 95 mg of caffeine. a. The initial amount of coffee consumed at time 0 and the amount of coffee remaining after one half-life has passed define two points on the exponential decay model for caffeine. What are these two points? $t=0$ ant after 5 hours $=\frac{95}{2}=47.5 \mathrm{mg}$ $x=$ time $y=$ caffeine amt $(0,95) \quad x=$ time $y=c$ b. Exponential decay is modeled by the equation $Q(t)=Q_{0} e^{k t}$ , where $Q_{0}$ , is the initial amount. This models mg of caffeine present after initially drinking a caffeinated beverage. What is $Q_{0}$ amount of caffeine consumed? $Q_{0}=954$ c. Find the growth constant $k$ , for our decay model by using the point derived from the half-life of caffeine and the equation $Q(t)=Q_{0} e^{k t}$ . (Note from part (b) we know $Q_{0}$ so only the growth constant is unknown. $Q(5)=95 e^{(k) 5}$

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Problem 51219

Which inequality represents this situation? Select Choice • $\square$ Inequality A: $16.95 d+6.49 h<50$
Inequality B: $16.95 d+6.49 h \leq 50$

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Problem 51220

8 Divide these identical trapezoids into different sets of figures. Use these figures to find the area of each trapezoid.
Show your work. $4 \times 3.5=14$ $\begin{array}{c} \frac{1}{2} \times 1.5 \times 3.5=2.4254 \times 3.3=1 \\ 14+2 \times 2.625 \\ 14+5.25=19.25 \end{array}$
Solution: $\qquad$ 9.25 (9) Use the results of problem 8. Does the area of a figure depend on how it is separated into smaller figures? $\qquad$

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Problem 51221

Which quadratic equation has roots $-6+3 i$ and $-6-3 i$ ?
Answer $2 x^{2}+24 x+90=0$ $2 x^{2}-24 x+90=0$ $2 x^{2}+24 x+99=0$ $2 x^{2}-24 x+99=0$

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Problem 51222

```latex \text{The accompanying data represent the weights (in grams) of a random sample of 48 M\&M plain candies. Complete parts (a) through (f).} \\ \text{Click the icon to view the weights of the M\&M plain candies.} \\ \text{(a) Determine the sample standard deviation weight.} \\ \text{ $\square$ gram(s)} \\ \text{(Round to three decimal places as needed.)} \\
\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.} \\
\text{Dialogue Transcript:} \\
\text{assistant:} \\ \text{It looks like you're working on a statistics problem involving the weights of M\&M candies and you need to calculate the sample standard deviation. To help you with this, I need the list of weights you mentioned. Please provide the weights of the 48 M\&M plain candies so I can assist you further.} \\
\text{user:} \\ \text{I uploaded an image and extracted the following:} \\ \text{* Text: \begin{tabular}{llllllll} 0.89 & 0.94 & 0.92 & 0.89 & 0.93 & 0.86 & 0.84 & 0.83 \\ 0.83 & 0.91 & 0.82 & 0.84 & 0.89 & 0.93 & 0.84 & 0.90 \\ 0.91 & 0.95 & 0.86 & 0.85 & 0.79 & 0.91 & 0.88 & 0.84 \\ 0.88 & 0.91 & 0.86 & 0.90 & 0.93 & 0.87 & 0.88 & 0.87 \end{tabular}} \\ \text{Print} \\ \text{Done} ```

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Problem 51223

Factor the perfect square trinomial. $25 x^{2}-40 x+16$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $25 x^{2}-40 x+16=$ $\square$ (Factor completely.) B. The polynomial is prime.

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Problem 51224

4. a) Explain how you would solve this problem: For what value of $n$ does the function $f(x)=2 x^{2}+6 x-n$ have only one zero? (1 mark) b) Use your strategy to find the value of $n$ . (3 marks)

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Problem 51225

The graph of $y=f(x)$ is shown below. According to the graph, what is $f(-$
Answer 5 1 0 $-5$

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Problem 51226

Click here to view the weight and gas mileage data. (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. $\hat{y}=-0.00866 x+(49.4)$ (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and $y$ -intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice. (Use the answer from part a to find this answer.) A. A weightless car will get $\square$ miles per gallon, on average. It is not appropriate to interpret the slope. B. For every pound added to the weight of the car, gas mileage in the city will decrease by $\square$ mile(s) per gallon, on average. It is not appropriate to interpret the $y$ -intercept. C. For every pound added to the weight of the car, gas mileage in the city will decrease by $\square$ mile(s) per gallon, on average. A weightless car will get $\square$ miles per gallon, on average. D. It is not appropriate to interpret the slope or the $y$ -intercept.

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Problem 51227

Testing whether Story Spoilers Spoil Stories A story spoiler gives away the ending early. Does having a story spoiled in this way diminish suspense and hurt enjoyment? A study ${ }^{1}$ investigated this question. For twelve different short stories, the study's authors created a second version in which a spoiler paragraph at the beginning discussed the story and revealed the outcome. Each version of the twelve stories was read by at least 30 people and rated on a 1 to 10 scale to create an overall rating for the story, with higher ratings indicating greater enjoyment of the story. The ratings are given in Table 1 and stored in StorySpoilers. Stories 1 to 4 were ironic twist stories, stories 5 to 8 were mysteries, and stories 9 to 12 were literary stories. Test to see if there is a difference in mean overall enjoyment rating based on whether or not there - is a spoiler. \begin{tabular}{llllllllllllll} \hline Story & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\ \hline \begin{tabular}{l} With \\ spoiler \end{tabular} & 4.7 & 5.1 & 7.9 & 7.0 & 7.1 & 7.2 & 7.1 & 7.2 & 4.8 & 5.2 & 4.6 & 6.7 \\ \begin{tabular}{l} Original \end{tabular} & 3.8 & 4.9 & 7.4 & 7.1 & 6.2 & 6.1 & 6.7 & 7.0 & 4.3 & 5.0 & 4.1 & 6.1 \\ \hline \end{tabular}
Table 1 Enjoyment ratings for stories with and without spoilers
Click here for the dataset associated with this question. ${ }^{1}$ Leavitt, J. and Christenfeld, N., "Story Spoilers Don't Spoil Stories," Psychological Science, published OnlineFirst, August 12, 2011.
Part 1 - Your answer is partially correct.
Give the test statistic and the $p$ -value. Round your answer for the test statistic to two decimal places and your answer for the $p$ -value to four decimal places. test statistic $=$ $\square$ 4.92 $p$ -value $=$ $\square$ $!$

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Problem 51228

All of the following statements are true EXCEPT if $\Delta G>0$ , then a reaction is not spontaneous. if $\Delta G=0$ , then $\Delta S=\Delta H$ . a reaction is spontaneous if $\Delta G<0$ . $\Delta G$ is referred to as Gibbs free energy. if $\Delta G=0$ , the system is at equilibrium.

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Problem 51229

20. MILK The table shows the average price of a gallon of milk in January of each year from 2010 to 2015 according to the U.S. Department of Labor. The prices be modeled by $y=0.094 x+3.26$ , where $x$ is the numbe of years since 2010 and $y$ is the price in dollars. \begin{tabular}{|l|c|c|c|c|c|c|} \hline Year & 2010 & 2011 & 2012 & 2013 & 2014 & 2 \\ \hline Price (\$) & 3.24 & 3.30 & 3.58 & 3.53 & 3.55 & \\ \hline \end{tabular}
Part A Interpret the slope and $y$ -intercept of the regression equation in the context of the data.
Slope: On average, the price of a gallon of milk [ increased (B) decreased] by about \ $[ 0.094 (B) 3.24 (C) 3.26 ] each year.$ y $-intercept:$ \ln 2010$, the price of a gallon of milk was about \$ 3.26
Part B Estimate the price of a gallon of milk in 2025. $\$ 4.67$
Part C What is the residual for 2012? Round to the nearest hundredth. $\qquad$

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Problem 51230

Part 3 of 4 HW Score: $75.83 \%, 12.13$ of 16 points Points: 0.33 of 1 1 2 3 4 5
(a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. $\hat{y}=-0.00866 x+(49.4)$ (Round the $x$ coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and $y$ -intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice. (Use the answer from part a to find this answer.) A. A weightless car will get $\square$ miles per gallon, on average. It is not appropriate to interpret the slope. B. For every pound added to the weight of the car, gas mileage in the city will decrease by 0.00866 mile(s) per gallon, on average. It is not appropriate to interpret the $y$ -intercept. C. For every pound added to the weight of the car, gas mileage in the city will decrease by D. It is not appropriate to interpret the slope or the $y$ -intercept. mile(s) per gallon, on average. A weightless car will get $\square$ miles per gallon, on average. (c) A certain gas-powered car weighs 3698 pounds and gets 15 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight?
The estimated average miles per gallon for cars of this weight is (Round to three decimal places as needed.) $\square$ miles per gallon. The miles per gallon of this cyar is $\square$ average for cars of this weight.

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Problem 51231

e quadratic equation in the form $x^{2}+b x+c=0$ that has the following roots: Roots: $\{7,-5\}$
Answer Attempt 1 out of 2 Submit Answer

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Problem 51232

i 0 C.
The equation of Line $A$ is $y=-\frac{1}{3} x+4$ . The graph of Line $B$ is parallel to Line $A$ and passes through the point $(3,5)$ . Graph the two lines. A. B. D.

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Problem 51233

circumference of $12 \pi$ .
3. Which of the following is a correct equation for the circle shown graphed below? (1) $(x-2)^{2}+(y+3)^{2}=16$ (2) $(x+2)^{2}+(y-3)^{2}=4$ (3) $(x-2)^{2}+(y+3)^{2}=4$ (4) $(x+2)^{2}+(y-3)^{2}=16$

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Problem 51234

(2.) The population of a fast-growing city in Texas can be modeled with the equation $p(t)=82 \cdot 1.0811^{t}$ population of a fast-growing city in Tennessee can be modeled with $q(t)=132 \cdot 1.0481^{t}$ . In both equations, $t$ represents years since 2016 and the population is measured in thousands. a. Use technology to determine the point of intersection of the functions' graphs. b. What does the intersection mean in this situation?

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Problem 51235

3. Which of the following is a correct equation for the circle shown graphed below? (1) $(x-2)^{2}+(y+3)^{2}=16$ (2) $(x+2)^{2}+(y-3)^{2}=4$ (3) $(x-2)^{2}+(y+3)^{2}=4$ (4) $(x+2)^{2}+(y-3)^{2}=16$

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Problem 51236

9. In this course, we investigated polynomial, rational, exponential, logarithmic, sinusoidal, and other trigonometric functions. In your own words, describe a key feature of each type of function that differentiates it from the others. [6 marks]

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Problem 51237

Consider the following binomial probability distribution expression below. The number of trials, the number of successes, the probability of success and the probability of failure respectively are: $\binom{12}{7}(0.1)^{7}(0.9)^{5}$ $7,0.1,0.9,12$ $12,7,0.1,0.9$ $12,7,0.9,0.1$ $7,0.9,12,0.1$

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Problem 51238

Add on to get to 100 . $96+\square=100$

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Problem 51239

Find $(f \circ g)(-2)$ and $(g \circ f)(-2)$ $f(x)=2 x-1 ; g(x)=x^{2}+2$ $(f \circ g)(-2)=$ $\square$

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Problem 51240

4. WHICH ONE DOESN'T BELONG? Which statement does nor belong with the other three? Explain your reasoning. $\begin{array}{ll} 7+(x+4)=7+(4+x) & (3+b)+2=(b+3)+2 \\ 9+(7+w)=(9+7)+w & (4+n)+6=(n+4)+6 \end{array}$

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Problem 51241

ANALYZING DATA The table shows the daily changes in the value of a stock over 12 days. \begin{tabular}{|ccc} \multicolumn{3}{c}{\begin{tabular}{c} Changes in Stock \\ Value (dollars) \end{tabular}} \\ \hline 1.05 & 2.03 & -13.78 \\ -2.41 & 2.64 & 0.67 \\ 4.02 & 1.39 & 0.66 \\ -0.28 & -3.01 & 2.20 \\ \hline \end{tabular} a. Find the mean and median of the changes in stock value. Round to the nearest hoindredth if necessary.
Mean: $\square$
Median: $\square$
Find the mode of the set.
Mode: $\square$

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Problem 51242

vork 6B (4.2-4.3) Part 1 of 4
The least-squares regression equation is $\hat{y}=566.1 x+18,911$ where $y$ is the median income and $x$ is the percentage of 25 years and ol with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlati coefficient of 0.6807 . Complete parts (a) through (d). (a) Predict the median income of a region in which $20 \%$ of adults 25 years and older have at least a bachelor's degree. \\square$ (Round to the nearest dollar as needed.)

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Problem 51243

$\begin{array}{ll}\text { Minimize: } & z=2 x+3 y \\ \text { subject to: } & x+y \leq 13 \\ & 3 x+2 y \geq 6 \\ & x \geq 0, y \geq 0\end{array}$

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Problem 51244

Angles $A, B$ , and $C$ are rotation angles with the following properties. - $\csc A=\csc \frac{\pi}{4}$ where $0 \leq A \leq 2 \pi, A \neq \frac{\pi}{4}$ - $\cot B=\cot \frac{3 \pi}{4}$ where $0 \leq B \leq 2 \pi, B \neq \frac{3 \pi}{4}$ - $\sec C=\sec \frac{8 \pi}{5}$ where $0 \leq C \leq 2 \pi, A \neq \frac{8 \pi}{5}$
14. If the value of $A+B+C$ can be expressed in the form $k \pi$ , then the value of $k$ , to the nearest hundredth, is $\qquad$ (Record your answer in the numerical response box from left to right.)

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Problem 51245

\begin{tabular}{|l|} \hline \multicolumn{1}{|c|}{ Compound Interest Applications } \\ \hline \begin{tabular}{l} Solve the following compound interest problems. \\ Round your results to the nearest cent as needed. \end{tabular} \\ \hline \begin{tabular}{l} Ryan is investing in an account that earns an \\ interest rate of $6 \%$ compounded monthly for 9 \\ years. He wants to have $\$ 23,991.79$ at the end of \\ 9 years. How much should he invest now? \\ Ryan should invest $\$ 221.04 \times 6 \sigma^{8} 14000$ now. \\ dollars \end{tabular} \\ \hline \end{tabular}

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Problem 51246

Save
For the following equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. $y=|x-5|$ (a) Complete the following table. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-5 & 10 \\ \hline 5 & 0 \\ \hline 13 & \\ \hline \end{tabular}

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Problem 51247

$\operatorname{Lim}_{x \rightarrow 0} \frac{\sin 2 x(1-\cos 2 x)}{x^{3}}$

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Problem 51248

1. Each point $A$ is mapped to point $A^{\prime}$ by a dilation centered at the origin with the given scale factor. Complete the table. \begin{tabular}{c|c|c} Coordinates of $\boldsymbol{A}$ & Scale Factor & Coordinates of $\boldsymbol{A}^{\prime}$ \\ \hline $(-4,-2)$ & 3 & \\ \hline $(6,-4)$ & $\frac{1}{2}$ & \\ \hline $(-5,3)$ & 4 & \\ \hline \end{tabular}

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Problem 51249

Help aidh parcon weach the destination by ploting the points and connecting them. 1) $(5,9),(5,7),(6,7),(6,4),(6,1)$ 2) $(2,8),(2,6),(4,6),(4,2),(6,2)$ 3) $(10,3),(8,3),(8,6),(5,6),(5,8)$ 4) $(4,3),(6,3),(6,6),(8,6),(8,7)$

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Problem 51250

A graph $G$ is obtained from a graph of $y$ by the following sequence of transformations. Write an equation whose graph is $G$ . $y=x^{2}:$ a vertical stretch by a factor of 2, then a shift right 9 units
The equation whose graph is $G$ is $\square$ (Type an equation.)

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Problem 51251

- A. Exercises
1. An equation with two equal $\qquad$ is called a(n) $\qquad$ .
2. How is the proportion $\frac{a}{b}=\frac{c}{d}$ read?
3. In exercise 2, which term is the second term of the proportion?
4. Which terms in exercise 2 are the extremes? What are the other two terms called?

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Problem 51252

Select the appropriate word or pprase to complete the sentence.
The $\square$ hypothesis states that a parameter is equal to a certain value while the (Choose one) $\square$ hypothesis states that the parameter differs from this value.

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Problem 51253

Write a proportion for each of the following. Do not solve.
5. If two identical tasks can be accomplished in 5 hr ., how many can be accomplished in 7 hre?
6. If three grain augers can be assembled in 5 hr ., how many can be assembled in an 8 hr . day?
7. If three pages were done in 5 min ., how many could be completed in 1 hr .?
8. If two barrels weighed 300 lb . together, how many barrels would it take to weigh $7,000 \mathrm{lb} . ?$
9. Logan gained 340 yd . in his first seven games. At that rate, how many games would it take him to reach a total of $1,000 \mathrm{yd}$ . gained?
10. It took 40 lb , to reseed $5,000 \mathrm{yd}^{2}{ }^{2}$ . How many yd. ${ }^{2}$ could be reseeded with 225 lb .?
11. If a recipe calls for $1 \frac{1}{2}$ cups of flour and makes 24 cookies, how many cups of flour will be needed to make 72 cookies?
12. Five yards of 72 in . fabric is needed to make three pairs of curtains. If eight pairs of curtains are needed, how many yards of fabric should be purchased?

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Problem 51254

LESSON 19 Practice Problems
Problem 1 Solve $2 x<10$ . Explain how to find the solution set.
Problem 2 Lin is solving the inequality $15-x<14$ . She knows the solution to the equation $15-x=14$ is $x=1$ . How can Lin determine whether $x>1$ or $x<1$ is the solution to the inequality?
Problem 3 A cell phone company offers two texting plans. People who use plan A pay 10 cents for each text sent or received. People who use plan B pay 12 dollars per month, and then pay an additional 2 cents for each text sent or received. a. Write an inequality to represent the fact that it is cheaper for someone to use plan $A$ than plan B. Use $x$ to represent the number of texts they send. b. Solve the inequality.
Problem 4 Clare made an error when solving $-4 x+3<23$ . $\begin{aligned} -4 x+3 & <23 \\ -4 x & <20 \\ x & <-5 \end{aligned}$
Describe the error that she made.

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Problem 51255

Coretta's bowling average decreased from 158 to 133. What is the percent decrease to the nearest tenth of a percent?

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Problem 51256

New Tab Como alterar o ico... Who We Are | Mas... http://www.bit.ly/C... traducao Gmail YouTube Maps All Bookmar Mara Stratton 12/03/24 9:11 PM n 11.1 Homework Question 3, 11.1.17-T HW Score: 50\%, 5 of 10 points Save Part 5 of 6 Points: 0 of 4
In randomized, double-blind clinical trials of a new vaccine, rats were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 113 of 748 subjects in the experimental group (group 1) experienced fever as a side effect. After the second dose, 70 of 629 of the subjects in the control group (group 2) experienced fever as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced fever as a side effect than subjects in group 2 at the $\alpha=0.10$ level of significance? C. The samples are independent. D. The samples are dependent. E. The sample size is less than $5 \%$ of the population size for each sample. F. The data come from a population that is normally distributed.
Determine the null and alternative hypotheses. $\begin{array}{l} H_{0}: p_{1}=p_{2} \\ H_{1}: p_{1}>p_{2} \end{array}$
Find the test statistic for this hypothesis test. 2.17 (Round to two decimal places as needed.)
Determine the P-value for this hypothesis test. 0.015 (Round to three decimal places as needed.)
Interpret the P -value. If the population proportions are $\square$ one would expect a sample difference proportion $\square$ the one observed in about $\square$ out of 1000 repetitions of this experiment. (Round to the nearest integer as needed.) an example Get more help - Clear all Check an:

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Problem 51257

(1 point) Below is a certain probability model: \begin{tabular}{|c|c|c|c|c|c|} \hline Outcome & $a$ & $b$ & $c$ & $d$ & $e$ \\ \hline Probability & 0.2 & & 0.15 & 0.05 & 0.3 \\ \hline \end{tabular}
Events $F$ and $G$ are given by $F=\{a, c, e\}, \quad G=\{b, c, e\} .$
Calculate each probability: $\begin{array}{l} P(b)=0.15 \\ P(F \cup G)=0.7 \\ P(F \cap G)=0.35 \\ P\left(F^{\prime}\right)=0.45 \end{array}$

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Problem 51258

POSSIBLE POINTS
A diagram demonstrates the Pythagorean Theorem, which states that for a right triangle with legs $a$ and $b$ and hypotenuse $c, a^{2}+b^{2}=c^{2}$ .
How are the squares in the diagram related to the equation? The number of unit squares in each square is equal to the adjacent side length. The square of the sum of the legs equals the square of the hypotenuse. The square shapes represent the squares of the side lengths, and the sum of the areas of the two smaller squares equals the area of the larger square. The squares represent the side lengths of the triangle. The sum of the side lengths of the legs equals the length of the hypotenuse. The square of the sum of the lengths of the sides of the triangle equals the number of unit squares in all the squares.

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Problem 51259

Write the equation of this line in slope-intercept form. Submit

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Problem 51260

1) $\left\{\begin{array}{l}y=-1 / 2 x+1 \\ y=1 / 3 x+6\end{array}\right.$ Solution

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Problem 51261

The model represents an equation.
$\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$
What value of $x$ makes the equation true? \begin{tabular}{cc} $A$ & 3 \\ B & -6 \\ C & -4 \\ $D$ & 4 \end{tabular}

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Problem 51262

Question 2
There are 254 counties in the state of Texas. Pedro estimated that there are about 250 counties in the state. What is the percent error in Pedro's estimate? Round to the nearest tenth percent. \%

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Problem 51263

Simplify the expression. $2 \log _{2}\left(x^{3}+5\right)$ $x^{3}$ 3 $x^{3}+5$ 5

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Problem 51264

Simplify the following expression. $\left(\frac{1}{2}\right)^{-3}$ $\left(\frac{1}{2}\right)^{-3}=$ $\square$ (Type an integer or a simplified fraction.)

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Problem 51265

10. Rod says that he is thinking of two functions that have the following characteristics: a. One is rational, and has a $y$ -intercept at -2 b. One is trigonometric, and does not include the cosine function c. One contains the digit " 3 " and the other does not. d. Both have an instantaneous rate of change of 1.23 (rounded to two decimal places) at $x=2$ e. The two functions intersect at $x=2$
Provide one example of a pair of functions that meet Rod's criteria. Explain your thought process in making the functions, a screenshot, and calculations to verify each criterion. [7 marks]

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Problem 51266

Find the critical numbers of the function $f(\theta) = 2 \cos \theta + \sin^2 \theta$ .

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Problem 51267

bictionary com / Me Performance Matter f.pli $x$ Portal | Srudent Por_ [1 mysdpocarg/dp/p- $\pm$ abt defuad
12/21 Simplify: $\left(2 a^{3} b^{4} c^{3}\right)^{2} \cdot\left(4 a^{2} b c^{3}\right)$

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Problem 51268

What is the annual percentage yield (APY) for money invested at an annual rate of (A) $4.83 \%$ compounded monthly? (B) $4.84 \%$ compounded quarterly?

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Problem 51269

Determine algebraically whether the given function is even, odd, or neither. $f(x)=\sqrt[9]{x}$

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Problem 51270

5. A hot air balloon is at an altitude of $100 \frac{1}{5}$ yards. The balloon's altitude decreases by $10 \frac{4}{5}$ yards every minute. Determine the number of minutes it will take the balloon to reach an altitude of 57 yards. (Example 2)

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Problem 51271

16. $\log _{6} \sqrt{3 m n^{8}}$ expand

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Problem 51272

The right triangle below has legs of length $a=10$ and $b=7$ . The hypotenuse has length $c$ .
Answer the questions below to find how $a, b$ , and $c$ are related.
Part 1: Compute the total combined area of the four triangles: Part 2: Compute the area of the large (outer) square: $\square$
Part 3: Using your answers in Parts 1 and 2, find the area of the small (inner) square. $c^{2}=$ $\square$ Part 4: We are given the side lengths $a=10$ and $b=7$ . Compute $a^{2}+b^{2}$ . $a^{2}+b^{2}=$ $\square$

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Problem 51273

Apply
9. A face painting artist's fee for parties is shown in the table. Customers are also charged a \ $25 reservation fee. A school has$ \ $175$ to spend on a face painting artist for their carnival. For how many full hours can they hire the artist? $\qquad$ $175-2.3$ \begin{tabular}{|c|c|} \hline Hours & Fee (\$) \\ \hline 2 & 49.00 \\ \hline 3 & 73.50 \\ \hline 4 & 98.00 \\ \hline 5 & 122.50 \\ \hline \end{tabular}

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Problem 51274

Find all solutions of the equation in the interval $[0,2 \pi)$ . $\sec \theta-\sqrt{2}=0$
Write your answer in radians in terms of $\pi$ . If there is more than one solution, separate them with commas. $\theta=$ $\square$

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Problem 51275

Teens, Social Media and Technology A new Pew Research Center survey of 1316 American teenagers ages 13 to 17 finds TikTok has rocketed in popularity since its North American debut several years ago $Æ$ and now is a top social media platform for teens among the platforms covered in this survey. Some $67 \%$ of teens say they use TikTok, with $16 \%$ of all teens saying they use it almost constantly. Meanwhile, the share of teens who say they use Facebook, a dominant social media platform among teens in the Center's 2014-15 survey $巴$ , has plummeted from $71 \%$ then to $32 \%$ today. Below is a graph depicting the percent of usage of various Social Media by teens in the survey. This poll has a margin of error of $+/-3.2 \%$ .
About one-In-flive teens visit or use YouTube 'almost constantly' \% of U.S. teens who say they -- 8 Fill in the Blank 10 points Calculate the confidence interval for those teens who 'ever use' TikTok. type your answer... \% to type your answer... 9 Fill in the Blank 10 points
Calculate the confidence interval for those teens who almost constantly visit or use TikTok. type your answer... \% to type your answer... \% 10 'Essay 10 points
Using the interval calculated directly above, write a $95 \%$ confidence statement regarding the specific social media use. Edit View Insert Format Tools Table 12pt $\vee$ Paragraph
Note Teens refer to those ages 13 to 17. Those who did not give an answer or gave other responses are not shown Source: Survey conducted April 14-May 4, 2022 Teens, Social Media and Technology $2022^{-}$ PEW RESEARCH CENTER

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Problem 51276

Find the equation of the quadratic function $f$ whose graph is shown below. $f(x)=$ $\square$

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Problem 51277

Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis of revolution. (Round your answer to two decimal places.) $y=-|x-2|+2, y=0$ ; about the $y$ -axis $\square$

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Problem 51278

10. The table shows the cost of boarding a dog at a dog kennel. Owners are also charged a $\$ 10$ registration fee. The Kittle family boarded their dog at the kennel for 7 days. What was the total, with registration fee, of boarding their dog? \begin{tabular}{|c|c|} \hline Days & Cost (\$) \\ \hline 3 & 97.50 \\ \hline 4 & 130.00 \\ \hline 5 & 162.50 \\ \hline 6 & 195.00 \\ \hline \end{tabular}

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Problem 51279

Write the equation of this line in slope-intercept form.

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Problem 51280

2. Maria made strawberry jam. She filled $\frac{1}{2}$ of a jar with the first batch she made. The next batch filled $\frac{2}{3}$ of another jar. How much strawberry jam did Maria make altogether? $\frac{1}{2}$

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Problem 51281

MeDomata Fant? Lescon Gi Patterns MeDonalgs ctoff, Nerpont Tr: Iewonat
2 Which of the following is a rule for the following pattern: $4,10,22,46, \ldots$ ? Add 1. multiply by 2 Multiply by 3 , subtract 2 Multiply by 2.5 Add 6 Skip $1 / 10$ complete

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Problem 51282

(b) \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 8 & 5 \\ \hline 10 & 4 \\ \hline 20 & 2 \\ \hline \end{tabular} - Direct variation
Equation: - Inverse variation
Equation: _ Neither

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Problem 51283

3. Select all true statements.
Circle A
Circle B
Circle C A. Circle A has a circumference of $\pi$ . B. Circle B has a circumference of $\pi$ . C. Circle B has an area of $\pi$ . D. Circle C has an area of $\pi$ .

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Problem 51284

In the game of roulette, a wheel consists of 38 slots numbered $0,00,1,2, \ldots, 36$ . To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you selected, you win $\$ 35$ ; otherwise you lose $\$ 1$ . Complete parts (a) through ( g ) below. Click here to view the standard normal distribution table (page 1): Click here to view the standard normal distribution table (page 2). (a) Construct a probability distribution for the random variable $X$ , the winnings of each spin. (Type integers or decimals rounded to four decimal places as needed.)

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Problem 51285

1 2 3 4 5
Find the distance between the points $(-5,-4)$ and $(-2,-4)$ .
Distance: $\square$

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Problem 51286

evaluate: $\lim _{x \rightarrow 1^{+}} \frac{-4 x+12}{x^{2}-4 x+3}$

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Problem 51287

The town of Creekview is trying to determine whether or not to build a new nature center. To help make the decision, several government workers randomly call some local citizens. They ask the citizens how interested they would be in the nature center, on a scale of 1 to 10 , where 1 is the least interested and 10 is the most interested.
Here are the data from one worker's sample: $\begin{array}{llllllll}5 & 10 & 1 & 8 & 10 & 9 & 6 & 5\end{array}$
What is the median interest level for this worker's sample?

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Problem 51288

Find the quotient. $\frac{5}{18} \div \frac{2}{6}=$

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Problem 51289

Find the particular solution of the differential equation that satisfies the initial condition. (Enter your solution as an equation.) Differentlal Equation Initlal Condition $y \sqrt{81-x^{2}} y^{\prime}-x \sqrt{100-y^{2}}=0$ $y(0)=10$

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Problem 51290

Perform the indicated operation and simplify, if possible. $\frac{9}{x-9}+\frac{x}{x-9}$

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Problem 51291

In Ms. Franko's class for every 6 boys there are 8 girls. Write the ratio of boys to girls in simplest form.

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Problem 51292

4. A study of the weights of the brains of Swedish men varies according to a distribution that is approximately Normal with mean 1400 grams and standard deviation 20 grams.
If two Swedish men named Nordal and Hector are selected, what is the probability that Nordal's brain weighs at least 15 grams more than Hector's? (For full credit, show ALL work, including making a picture).

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Problem 51293

Write the number in scientific notation. $\begin{array}{r} 1,440,000 \\ 1,440,000= \end{array}$ $\square$ (Use the multiplication symbol in the math palette as needed.)

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Problem 51294

Toys R Us is having a $38 \%$ off sale on all of their backpacks. If a backpack normally costs $\$ 22.00$ , how much will it be on sale?

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Problem 51295

24) What is the present value of a $\$ 15,000$ lump sum that you will receive in six years from now which was in an account that earned $5 \%$ per year compounded semi-annually. a. $\$ 8,325.56$ b. $\$ 11,153.33$ c. $\$ 12,934.45$ d. $\$ 11,193.23$

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Problem 51296

The life of a Radio Shack record player is normally distributed with a mean of 3.3 years and a standard deviation of 0.8 years. Radio Shack guarantees its record players for 2 years.
Find the probability that a record player will break down during the guarantee period. 0.03417 0.05208 0.06302 0.04218 0.03796 0.05729 0.04687

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Problem 51297

A transponder for a toll bridge costs $\$ 32.50$ . With the transponder, the toll is $\$ 5$ each time you cross the bridge. The only other option is toll-by-plate, for which the toll is $\$ 5.25$ each time you cross the bridge with an additional administrative fee of $\$ 2.25$ for each crossing. How many times would you need to cross the bridge for the costs of the two toll options to be the same?

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Problem 51298

Find the product and write the result in standard form. $(3-8 i)(-7-2 i)$

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Problem 51299

17. The promotion manager of a new band is deciding how much to charge for concert tickets. It was calculated that if tickets are $\$ 28$ each, then 220 people will come to the concert. For every $\$ 1$ increase in price, however, 10 fewer people come.
Complete the table to investigate the ticket price if the goal is to maximize the revenue. \begin{tabular}{|c|c|c|} \hline Ticket Price & Number of People & Total Money from Tickets (revenue) \\ \hline & & \\ \hline & & \\ \hline & & \\ \hline & & \\ \hline $\$ 27$ & 230 & \\ \hline $\$ 28$ & 220 & $\$ 28 \times 220=\$ 6160$ \\ \hline $\$ 29$ & & \\ \hline \end{tabular}
Conclusion: The maximum revenue of $\$$ $\qquad$ occurs when the ticket price is $\$$ $\qquad$ .

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Problem 51300

Identify Which element in each pair has the larger first ionization energy? a. sodium, potassium b. magnesium, phosphorus

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Math

Problem 51201

Problem 51202

When using the spreadsheet (work sheet) in preparing the statement of cash flows by the indirect method, the Balance columns should total to a. the totals shown on the balance sheets for their respective periods b. the net increase in cash during the period c. zero d. none of these choices

Problem 51203

What is the molality of ethanol (C2H5OH)\left(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}\right)(C2​H5​OH) in an aqueous solution that is 39.8%39.8 \%39.8% ethanol by mass? a. 1 m b. 14 m c. 0 m d. 1 m e. 84.0 m

Problem 51204

Problem 51205

Are the functions below polynomials? If they are, enter their degree. If not, enter NONE. y=−9+2x10−8x7y=-9+2 x^{10}-8 \sqrt{x^{7}}y=−9+2x10−8x7​ has degree □\square□ help (numbers) y=9x6+6x3y=\sqrt{9} x^{6}+6 x^{3}y=9​x6+6x3 has degree □\square□ help (numbers)

Problem 51206

7 A rectangular yard is 18 feet long. The area of the yard is 400.5 square feet. What is the width of the yard? Explain.

Problem 51207

Problem 51208

Problem 51209

8. 13(ln⁡(64)−ln⁡(8x3))\frac{1}{3}\left(\ln (64)-\ln \left(8 x^{3}\right)\right)31​(ln(64)−ln(8x3))

Problem 51210

Problem 51211

Problem 51212

Factor each expression: x2−12x+35=(x−5)(x−7)x2−2x−24=(x−6)(x+4)x2+1x−72=(x+9)(x−8)\begin{array}{l} x^{2}-12 x+35=(x-5)(x-7) \\ x^{2}-2 x-24=(x-6)(x+4) \\ x^{2}+1 x-72=(x+9)(x-8) \end{array}x2−12x+35=(x−5)(x−7)x2−2x−24=(x−6)(x+4)x2+1x−72=(x+9)(x−8)​

Problem 51213

9. Express 25x2−70x+5725 x^{2}-70 x+5725x2−70x+57 in the form (Vx−W)2+Z(V x-W)^{2}+Z(Vx−W)2+Z.

Problem 51214

4. a) Explain how you would solve this problem: For what value of nnn does the function f(x)=2x2+6x−nf(x)=2 x^{2}+6 x-nf(x)=2x2+6x−n have only one zero? (1 mark) b) Use your strategy to find the value of nnn. (3 marks)

Problem 51215

Problem 51216

7. Use long division to divide x4−4x3+12x2−3x+6x^{4}-4 x^{3}+12 x^{2}-3 x+6x4−4x3+12x2−3x+6 by x2+8x^{2}+8x2+8

Problem 51217

Problem 51218

Problem 51219

Which inequality represents this situation? Select Choice • □\square□ Inequality A: 16.95d+6.49h<5016.95 d+6.49 h<5016.95d+6.49h<50Inequality B: 16.95d+6.49h≤5016.95 d+6.49 h \leq 5016.95d+6.49h≤50

Problem 51220

Problem 51221

Which quadratic equation has roots −6+3i-6+3 i−6+3i and −6−3i-6-3 i−6−3i ?Answer 2x2+24x+90=02 x^{2}+24 x+90=02x2+24x+90=0 2x2−24x+90=02 x^{2}-24 x+90=02x2−24x+90=0 2x2+24x+99=02 x^{2}+24 x+99=02x2+24x+99=0 2x2−24x+99=02 x^{2}-24 x+99=02x2−24x+99=0

Problem 51222

Problem 51223

Factor the perfect square trinomial. 25x2−40x+1625 x^{2}-40 x+1625x2−40x+16Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 25x2−40x+16=25 x^{2}-40 x+16=25x2−40x+16= □\square□ (Factor completely.) B. The polynomial is prime.

Problem 51224

4. a) Explain how you would solve this problem: For what value of nnn does the function f(x)=2x2+6x−nf(x)=2 x^{2}+6 x-nf(x)=2x2+6x−n have only one zero? (1 mark) b) Use your strategy to find the value of nnn. (3 marks)

Problem 51225

The graph of y=f(x)y=f(x)y=f(x) is shown below. According to the graph, what is f(−f(-f(−Answer 5 1 0 −5-5−5

Problem 51226

Problem 51227

Problem 51228

Problem 51229

Problem 51230

Problem 51231

e quadratic equation in the form x2+bx+c=0x^{2}+b x+c=0x2+bx+c=0 that has the following roots: Roots: {7,−5}\{7,-5\}{7,−5}Answer Attempt 1 out of 2 Submit Answer

Problem 51232

i 0 C.The equation of Line AAA is y=−13x+4y=-\frac{1}{3} x+4y=−31​x+4. The graph of Line BBB is parallel to Line AAA and passes through the point (3,5)(3,5)(3,5). Graph the two lines. A. B. D.

Problem 51233

Problem 51234

Problem 51235

Problem 51236

9. In this course, we investigated polynomial, rational, exponential, logarithmic, sinusoidal, and other trigonometric functions. In your own words, describe a key feature of each type of function that differentiates it from the others. [6 marks]

Problem 51237

Problem 51238

Add on to get to 100 . 96+□=10096+\square=10096+□=100

Problem 51239

Find (f∘g)(−2)(f \circ g)(-2)(f∘g)(−2) and (g∘f)(−2)(g \circ f)(-2)(g∘f)(−2) f(x)=2x−1;g(x)=x2+2f(x)=2 x-1 ; g(x)=x^{2}+2f(x)=2x−1;g(x)=x2+2 (f∘g)(−2)=(f \circ g)(-2)=(f∘g)(−2)= □\square□

Problem 51240

Problem 51241

Problem 51242

Problem 51243

Minimize: z=2x+3y subject to: x+y≤133x+2y≥6x≥0,y≥0\begin{array}{ll}\text { Minimize: } & z=2 x+3 y \\ \text { subject to: } & x+y \leq 13 \\ & 3 x+2 y \geq 6 \\ & x \geq 0, y \geq 0\end{array} Minimize: subject to: ​z=2x+3yx+y≤133x+2y≥6x≥0,y≥0​

Problem 51244

Problem 51245

Problem 51246

Problem 51247

Lim⁡x→0sin⁡2x(1−cos⁡2x)x3\operatorname{Lim}_{x \rightarrow 0} \frac{\sin 2 x(1-\cos 2 x)}{x^{3}}Limx→0​x3sin2x(1−cos2x)​

Problem 51248

Problem 51249

Problem 51250

A graph GGG is obtained from a graph of yyy by the following sequence of transformations. Write an equation whose graph is GGG. y=x2:y=x^{2}:y=x2: a vertical stretch by a factor of 2, then a shift right 9 unitsThe equation whose graph is GGG is □\square□ (Type an equation.)

Problem 51251

- A. Exercises1. An equation with two equal \qquad is called a(n) \qquad .2. How is the proportion ab=cd\frac{a}{b}=\frac{c}{d}ba​=dc​ read?3. In exercise 2, which term is the second term of the proportion?4. Which terms in exercise 2 are the extremes? What are the other two terms called?

Problem 51252

Select the appropriate word or pprase to complete the sentence.The □\square□ hypothesis states that a parameter is equal to a certain value while the (Choose one) □\square□ hypothesis states that the parameter differs from this value.

Problem 51253

Problem 51254

Problem 51255

What is the molality of ethanol $\left(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}\right)$ in an aqueous solution that is $39.8 \%$ ethanol by mass? a. 1 m b. 14 m c. 0 m d. 1 m e. 84.0 m

Are the functions below polynomials? If they are, enter their degree. If not, enter NONE. $y=-9+2 x^{10}-8 \sqrt{x^{7}}$ has degree $\square$ help (numbers) $y=\sqrt{9} x^{6}+6 x^{3}$ has degree $\square$ help (numbers)

8. $\frac{1}{3}\left(\ln (64)-\ln \left(8 x^{3}\right)\right)$

Factor each expression: $\begin{array}{l} x^{2}-12 x+35=(x-5)(x-7) \\ x^{2}-2 x-24=(x-6)(x+4) \\ x^{2}+1 x-72=(x+9)(x-8) \end{array}$

9. Express $25 x^{2}-70 x+57$ in the form $(V x-W)^{2}+Z$ .

4. a) Explain how you would solve this problem: For what value of $n$ does the function $f(x)=2 x^{2}+6 x-n$ have only one zero? (1 mark) b) Use your strategy to find the value of $n$ . (3 marks)

7. Use long division to divide $x^{4}-4 x^{3}+12 x^{2}-3 x+6$ by $x^{2}+8$

Which inequality represents this situation? Select Choice • $\square$ Inequality A: $16.95 d+6.49 h<50$
Inequality B: $16.95 d+6.49 h \leq 50$

Which quadratic equation has roots $-6+3 i$ and $-6-3 i$ ?
Answer $2 x^{2}+24 x+90=0$ $2 x^{2}-24 x+90=0$ $2 x^{2}+24 x+99=0$ $2 x^{2}-24 x+99=0$

Factor the perfect square trinomial. $25 x^{2}-40 x+16$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $25 x^{2}-40 x+16=$ $\square$ (Factor completely.) B. The polynomial is prime.

4. a) Explain how you would solve this problem: For what value of $n$ does the function $f(x)=2 x^{2}+6 x-n$ have only one zero? (1 mark) b) Use your strategy to find the value of $n$ . (3 marks)

The graph of $y=f(x)$ is shown below. According to the graph, what is $f(-$
Answer 5 1 0 $-5$

e quadratic equation in the form $x^{2}+b x+c=0$ that has the following roots: Roots: $\{7,-5\}$
Answer Attempt 1 out of 2 Submit Answer

i 0 C.
The equation of Line $A$ is $y=-\frac{1}{3} x+4$ . The graph of Line $B$ is parallel to Line $A$ and passes through the point $(3,5)$ . Graph the two lines. A. B. D.

Add on to get to 100 . $96+\square=100$

Find $(f \circ g)(-2)$ and $(g \circ f)(-2)$ $f(x)=2 x-1 ; g(x)=x^{2}+2$ $(f \circ g)(-2)=$ $\square$

$\begin{array}{ll}\text { Minimize: } & z=2 x+3 y \\ \text { subject to: } & x+y \leq 13 \\ & 3 x+2 y \geq 6 \\ & x \geq 0, y \geq 0\end{array}$

$\operatorname{Lim}_{x \rightarrow 0} \frac{\sin 2 x(1-\cos 2 x)}{x^{3}}$

A graph $G$ is obtained from a graph of $y$ by the following sequence of transformations. Write an equation whose graph is $G$ . $y=x^{2}:$ a vertical stretch by a factor of 2, then a shift right 9 units
The equation whose graph is $G$ is $\square$ (Type an equation.)

- A. Exercises
1. An equation with two equal $\qquad$ is called a(n) $\qquad$ .
2. How is the proportion $\frac{a}{b}=\frac{c}{d}$ read?
3. In exercise 2, which term is the second term of the proportion?
4. Which terms in exercise 2 are the extremes? What are the other two terms called?

Select the appropriate word or pprase to complete the sentence.
The $\square$ hypothesis states that a parameter is equal to a certain value while the (Choose one) $\square$ hypothesis states that the parameter differs from this value.

1) $\left\{\begin{array}{l}y=-1 / 2 x+1 \\ y=1 / 3 x+6\end{array}\right.$ Solution

The model represents an equation.
$\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$
What value of $x$ makes the equation true? \begin{tabular}{cc} $A$ & 3 \\ B & -6 \\ C & -4 \\ $D$ & 4 \end{tabular}

Question 2
There are 254 counties in the state of Texas. Pedro estimated that there are about 250 counties in the state. What is the percent error in Pedro's estimate? Round to the nearest tenth percent. \%

Simplify the expression. $2 \log _{2}\left(x^{3}+5\right)$ $x^{3}$ 3 $x^{3}+5$ 5

Simplify the following expression. $\left(\frac{1}{2}\right)^{-3}$ $\left(\frac{1}{2}\right)^{-3}=$ $\square$ (Type an integer or a simplified fraction.)

Find the critical numbers of the function $f(\theta) = 2 \cos \theta + \sin^2 \theta$ .

bictionary com / Me Performance Matter f.pli $x$ Portal | Srudent Por_ [1 mysdpocarg/dp/p- $\pm$ abt defuad
12/21 Simplify: $\left(2 a^{3} b^{4} c^{3}\right)^{2} \cdot\left(4 a^{2} b c^{3}\right)$

What is the annual percentage yield (APY) for money invested at an annual rate of (A) $4.83 \%$ compounded monthly? (B) $4.84 \%$ compounded quarterly?

Determine algebraically whether the given function is even, odd, or neither. $f(x)=\sqrt[9]{x}$

5. A hot air balloon is at an altitude of $100 \frac{1}{5}$ yards. The balloon's altitude decreases by $10 \frac{4}{5}$ yards every minute. Determine the number of minutes it will take the balloon to reach an altitude of 57 yards. (Example 2)

16. $\log _{6} \sqrt{3 m n^{8}}$ expand

Find all solutions of the equation in the interval $[0,2 \pi)$ . $\sec \theta-\sqrt{2}=0$
Write your answer in radians in terms of $\pi$ . If there is more than one solution, separate them with commas. $\theta=$ $\square$