Browse Math Statement problems Studdy Solved!

Problem 18801

Answer $\begin{array}{l} =\sqrt{8} \times \sqrt{3}-\sqrt{8} \times 4+\sqrt{150} \\ =\sqrt{24}-4 \sqrt{8}+\sqrt{150} \\ =\sqrt{4 \times 6}-4 \sqrt{4 \times 2}+\sqrt{25 \times 6} \\ =2 \sqrt{6}-8 \sqrt{2}+5 \sqrt{6} \\ =7 \sqrt{6}-8 \sqrt{2} \end{array}$

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Problem 18802

Consider the following. $f(x)=x^{4}-x^{3}-56 x^{2}$ (a) Find all the real zeros of the polynomial function. $\begin{array}{ll} x=-7 \\ x=0 \\ x=8 & \\ x= & \text { (largest value) } \end{array}$ - (largest value) (b) Determine the multiplicity of each zero and the number of turning points of the graph of the fur multiplicity $1 \sim$ multiplicity $2 \checkmark$ multiplicity $1 \sim$ (smallest $x$ -value) (largest $x$ -value)

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Problem 18803

Simplify. $\sqrt{\frac{10}{125}}$

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Problem 18804

A fast-food restaurant runs a promotion in which certain food items come with game pieces. According to the restaurant, 1 in 4 game pieces is a winner.
If Jeff keeps playing until he wins a prize, what is the probability that he has to play the game exactly 5 times? $(0.75)^{5}$ $(0.25)^{5}$ $(0.75)^{4}$ $\binom{5}{1}(0.75)^{4}(0.25)$ $(0.75)^{4}(0.25)$

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Problem 18805

Simplify the expression using the order of operations. $\begin{aligned} 8+2 \times 4^{2} & =8+2 \times \square \\ & =8+\square \\ & =\square \end{aligned}$

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Problem 18806

Write the expression as a sum and/or difference of logarithms. Express powers as factors. $\log _{5}\left(\frac{x^{3}}{x-6}\right), x>6$ $\log _{5}\left(\frac{x^{3}}{x-6}\right)=$ $\square$ (Simplify your answer.)

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Problem 18807

Ws To Do-Google Docs Asher harward-WS- Asher harward - ws - 105/assignments/12482/0 añol 3 - Semana Inbox (3,804)-agha Chapel Hill High Sc. Edficiency Help| Revew
Find the slope of the tangent line to the curve $y=2^{2 x}$ at $x=1$ . Your answer must be exact. Use $\ln (x)$ for $\ln (x)$ . Submit Assignment Quit \& Save

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Problem 18808

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SN1F24 Quiz10: Problem 5 (1 point)
The velocity function is $v(t)=-t^{2}+5 t-6$ for a particle moving along a line. Find the displacement (net distance covered) of the particle during the time interval $[-3,6]$ . displacement $=$ $\square$
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Problem 18809

(1 point) Evaluate the following limit: $\lim _{x \rightarrow 0} \frac{\sin ^{2}(4 x)}{1-\cos (9 x)}$

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Problem 18810

Solve. $\sqrt{x}=7$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $x=$ $\square$ (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) B. The solution set is the empty set.

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Problem 18811

Each of the regions $A, B$ , and $C$ bounded by the graph of $f$ and the $x$ -axis has area 3 .
Find the value of $\int_{-4}^{2}[f(x)+2 x+3] d x$ . $\square$ 9

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Problem 18812

Question 6 (1 point) Solve $\sqrt{3} \csc x+2=0$ on the interval $x \in[0,2 \pi]$ , to the nearest hundredth of a radian. a) $x \doteq 1.05, x \doteq 2.09$ b) $x \doteq 4.19, x \doteq 5.24$ C) $x=60, x=120$ d) $x=240, x=300$

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Problem 18813

Add. $(8 z+5)+(7 z+9)$
Submit

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Problem 18814

Consider the system of linear equations shown below: $\begin{array}{c} 2 x+9=-4 y \\ -x-y=2 \end{array}$
Create the coefficient matrix, $D$

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Problem 18815

e for $x$ : $625^{2 x-4}=125^{3 x-2}$

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Problem 18816

Question Watch
Solve for x : $6^{3 x-4}=1296^{-4}$
Answer Attempt 1 out of 2

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Problem 18817

Subtract. $(8 h+9)-(h+4)$
Submit

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Problem 18818

One can convert temperature from Kelvin into Fahrenheit using the formula $F=\frac{9}{5}(K-273)+32$ . What is the temperature in Kelvin corresponding to $F$ degrees Fahrenheit? A. $\frac{9}{5}(F-273)-32$ B. $\frac{5}{9}(F-32)+273$ C. $\frac{9}{5}(F-32)+273$ D. $\frac{5}{9}(F-32)-273$

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Problem 18819

Question
Solve for x : $64^{3 x+3}=4^{3 x-3}$
Answer Attempt 1 out of 2

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Problem 18820

Question 13 (1 point) Solve $2 \sin x+1=0$ on the interval $x \in[0,2 \pi]$ , to the nearest hundredth of a radian. a) $x=210, x=330$ b) $x \doteq 0.52, x \doteq 2.62$ C) $x=30, x=150$ d) $x \doteq 3.67, x \doteq 5.76$

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Problem 18821

Consider the system of linear equations shown below: $\begin{array}{l} 2 x+9=-4 y \\ -x-y=2 \end{array}$ create the matrix, $D_{x}$

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Problem 18822

Tell which property of equality was used. $\begin{aligned} 53 & =\frac{318}{w} \\ 53 \times 61 & =\left(\frac{318}{w}\right) \times 61 \end{aligned}$
Choose the correct answer below. Multiplication Property of Equality Subtraction Property of Equality Addition Property of Equality Division Property of Equality

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Problem 18823

Simplify the expression using the order of operations. $\begin{aligned} 8^{2} \div 4+22 & =\square \div 4+22 \\ & =\quad+22 \end{aligned}$

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Problem 18824

Question 8, 1.7.1-10 Points: 0 of 1
Match each inequality below with its equivalent interval notation.
1. $x<-2$
2. $x \leq 2$
3. $-6<x \leq 2$
4. $x^{2} \geq 0$
5. $x \geq-2$
6. $2 \leq \mathrm{x}$ 7. 8. 9. $(-\infty, \infty)$ $[-2, \infty)$ $(-\infty, 2]$ $(-\infty,-2]$ $(-6,2]$ $[2, \infty)$ $(-\infty,-2)$ $(0,7)$ $[-6,2)$ $(-\infty,-6) \cup(2, \infty)$
Drag the equivalent interval notation above to the matching inequality below. 1. 9. 2. $\square$ 10. $\square$
3. $\square$ 4. 4.
U
5. $\square$ 6.
7. $\square$ S

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Problem 18825

Find the intervals on which $f$ is concave upward/downward, and find the coordinates of the point of inflection if exists. (b) $f(x)=\ln \left(x^{2}+1\right)$

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Problem 18826

? Course Help Problem Value: 1 point(s). Problem Score: 0\%. Attempts Remaining: 8 attempts. (1 point) Consider the function $f(x)=\frac{6 x+3}{6 x-1}$
Enter the equations of the vertical asymptotes. If there are no vertical asymptotes, enter none. If there is more than one vertical asymptote, enter a list of the equations separated by a comma (e.g., $x=20, x=-7$ ).
Vertical asymptotes: $\square$ Find the $x$ -intercept(s). If there is more than one $x$ -intercept give a list of the $x$ -intercepts separated by commas (i.e.: $(1,2),(3,4))$ . If there is no $x$ -intercept type in none. $x$ -intercepts: $\square$ Find the $y$ -intercept: $\square$ Find the domain of $f(x)$ : $\square$ Give your answer in interval notation.

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Problem 18827

Factor completely. Remember to look first for a common factor. Check by multiplying. If a polyno $-a^{6}-4 a^{5}+96 a^{4}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $-a^{6}-4 a^{5}+96 a^{4}=$ $\square$ B. The polynomial is prime.

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Problem 18828

Find the critical value $\mathrm{z}_{\alpha / 2}$ that corresponds to the confidence level $81 \%$ . $z_{\alpha / 2}=$ $\square$ (Round to two decimal places as needed.)

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Problem 18829

8. Find the inverse of $f(x)=4^{x}-6$ a. $f^{-1}(x)=\log _{4}(x)+6$ b. $f^{-1}(x)=\log _{4}(x+6)$ c. $f^{-1}(x)=6 \log _{4} x$ d. $f^{-1}(x)=\log _{x+6} 4$

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Problem 18830

Given the following functions: $\begin{array}{l} f(x)=3 x^{2}+3 x-6 \\ g(x)=3 x+6 \end{array}$
Find each of the values below. Give exact answers. a. $(f+g)(-2)=$ $\square$ b. $(f-g)(3)=$ $\square$ 15 c. $(f \cdot g)(2)=$ $\square$ 120 d. $\left(\frac{f}{g}\right)(4)=$ $\square$

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Problem 18831

5. $\frac{5}{8} \times 23$
6. $\frac{2}{3} \times 76$
8. $\frac{6}{7}$ of 51
9. $\frac{3}{5} \times \frac{2}{9}$
11. $\frac{10}{19} \times \frac{7}{8}$
12. $\frac{3}{4} \times \frac{3}{7}$
14. $12 \frac{9}{10} \times 6 \frac{1}{4}$
15. $4 \frac{3}{8} \times 17 \frac{2}{7}$

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Problem 18832

NAME $\qquad$ DATE $\qquad$ PERIOD $\qquad$ Lesson 1 Homework Practice Estimate Products of Fractions Estimate each product.
1. $\frac{1}{3} \times 28$ '
2. $\frac{1}{7} \times 20 \frac{72}{7}$
4. $\frac{1}{11}$ of 47 (4)
5. $\frac{5}{8} \times 23$
N
9. $\frac{3}{5} \times \frac{2}{9}$
7. $\frac{2}{5}$ of 37
8. $\frac{6}{7}$ of 51 el,
10. $\frac{7}{8} \times \frac{4}{5}$
11. $\frac{10}{19} \times \frac{7}{8}$
12. $\frac{3}{4} \times \frac{3}{7}$

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Problem 18833

Write 0.67 as a percentage.

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Problem 18834

$0 / 1 \mathrm{p}$
Solve the following system of equations with the substitution method: $\left\{\begin{array}{ll} x+4 y & =-32 \\ y & =-2 x+6 \end{array}\right.$
Answer: $(x, y)=1$ $\square$ Preview $x$ : $\square$ Preview $y$ :

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Problem 18835

Problem 33 Let $X$ and $Y$ be two random variables. Suppose that $\sigma_{X}^{2}=4$ , and $\sigma_{Y}^{2}=9$ . If we know that the two random variables $Z=2 X-Y$ and $W=X+Y$ are independent, find $\operatorname{Cov}(X, Y)$ and $\rho(X, Y)$ .

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Problem 18836

Find the equation for the parabola that has its focus at the $\left(\frac{5}{4},-3\right)$ and $h$ directrix at $x=\frac{35}{4}$ . equation is $(y+3)^{2}=30(x-9.375)$ Video 1 Video 2 Post to forum

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Problem 18837

25) أو جد أعلى قيمة للدالة $f(x)=-2 x^{2}+5 x-7$

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Problem 18838

Select the correct answer. How will the graph of $\log x$ compare to the graph of $\ln x$ ? A. The $\log x$ graph will grow slower than the $\ln x$ graph. B. The $\log x$ graph will grow faster than the $\ln x$ graph. C. They are inverses of one another. D. The graphs will be the same.

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Problem 18839

Given that $f(x)=x^{2}+5 x$ and $g(x)=x-6$ , calculate the following: You do not need to simplify (a) $(f \circ g)(x)=$ $\square$ (b) $(g \circ f)(x)=$ $\square$ (c) $(f \circ f)(x)=$ $\square$ (d) $(g \circ g)(x)=$ $\square$

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Problem 18840

Write the standard form of the equation of the circle with the given center and radius. Center $(-7,2), r=5$

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Problem 18841

a) $\left(x^{3}+3 x^{2}-3 x-2\right) \div(x-1)$

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Problem 18842

II in the blank with the appropriate word or phrase.
If $\hat{p}$ is the sample proportion and $n$ is the sample size, then $\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$ is the (Choose one) sample standard deviation population standard deviation standard error sample proportion

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Problem 18843

$\begin{array}{r}6000+30 \\ 200+10+1\end{array}$

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Problem 18844

Factor the trinomial completely. $x^{2}-10 x+9$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. $x^{2}-10 x+9=\square$ (Type your answer in factored form:) B. The polynomial is prime.

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Problem 18845

$5=\frac{5(4 n-1)}{3}$

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Problem 18846

Solve the equation. * $5 x-6=29$ $x=3$ $x=5$ $x=7$ $x=9$

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Problem 18847

Solve. $\begin{aligned} 5.4 & =-\frac{t}{7.5} \\ t & = \end{aligned}$

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Problem 18848

Write the expression $\log _{5}\left(x^{8} \sqrt[3]{y^{13}}\right)$ as a sum of logarithms with no exponents or radicals. \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline Basic & Funcs & Tri & & & & & $\times$ \\ \hline $x$ & B & $x$ & $\boldsymbol{x}_{\square}$ & $\sqrt{ }$ & $\sqrt[n]{ }$ & $\uparrow$ & $\downarrow$ \\ \hline $y$ & ( $\square$ & |ㅁ| & $\pi$ & $\infty$ & DNE & $\leftarrow$ & $\longrightarrow$ \\ \hline \multicolumn{6}{|l|}{Enter an algebraic expression [more.]} & \multicolumn{2}{|c|}{Q} \\ \hline \end{tabular}

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Problem 18849

Submit Answer
14. [0/1 Points]
DETAILS MY NOTES LARPCALC11 8.2.019. Evaluate the expression. $5\left(\left[\begin{array}{rrr} -2 & 0 & 1 \\ 0 & 3 & 2 \end{array}\right]-\left[\begin{array}{rrr} 5 & 1 & -2 \\ 2 & -8 & 0 \end{array}\right]\right)$ $\square$ $\square$ $\square$ $\square$ $\qquad$ $\square$ $\stackrel{\rightharpoonup}{\Rightarrow}$ Need Help? Read It Submit Answer

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Problem 18850

Solve the equation. * $3 x+8=2$ $x=-4$ $x=-2$ $x=2$ $x=4$

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Problem 18851

$\begin{array}{l}(* 8)^{2}= \\ -(6)^{2}=\end{array}$

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Problem 18852

weBwork b - Iopics 10 - 12: Problem 3 (1 point)
Consider the function $f(x)$ whose second derivative is $f^{\prime \prime}(x)=4 x+7 \sin (x)$ . If $f(0)=4$ and $f^{\prime}(0)=3$ , what is $f(x)$ ?
Answer: $\square$

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Problem 18853

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 18854

Solve for $X$ in the equation, where $\left.\begin{array}{c} A=\left[\begin{array}{rrr} -2 & 3 & 1 \\ -5 & 0 & 2 \end{array}\right] \text { and } B=\left[\begin{array}{rrr} 0 & 4 & -2 \\ 3 & 0 & 3 \end{array}\right] . \\ 4 B=-2 X-2 A \\ X=\square \square \\ \square \end{array}\right] \Rightarrow$ ■

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Problem 18855

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 18856

Homework 6: Problem 23 (1 point)
If $f(x)=x \cosh ^{-1}\left(\frac{x}{2}\right)-\sqrt{x^{2}-4}$ then $f^{\prime}(6)=$ $\square$

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Problem 18857

15. Solve the equation in the real number system. $x^{4}-2 x^{3}+6 x^{2}-18 x-27=0$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ ß. (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed. Type each answer only once.) B. The solution set is $\varnothing$ .

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Problem 18858

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 18859

Solve for $w$ . $(w+2)^{2}=2 w^{2}+11 w+16$
If there is more than one solution, separate them with commas.

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Problem 18860

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 18861

Now, find the sum. $\begin{aligned} & 48+34 \\ = & 48+(2+32) \\ = & (48+2)+32 \\ = & ? \end{aligned}$

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Problem 18862

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 18863

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 $\square$ $=x+5$ . $\square$

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Problem 18864

Solve the following equation for $\theta$ in the interval $\left[0^{\circ}, 360^{\circ}\right)$ . $4 \cos 2 \theta=1$

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Problem 18865

c) $4 x-5<2 x-7$

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Problem 18866

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 18867

16. $x-y=5$

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Problem 18868

Solve the following system of equations. $\begin{aligned} 5 x+3 y+z & =-35 \\ x-3 y+2 z & =-7 \\ 14 x-2 y+3 z & =-78 \end{aligned}$

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Problem 18869

a) $-1<3+4 x<5$

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Problem 18870

Han offe one test score with the score earned here. Please state what reak таке ноте тest 2) Solve the following equation for m. y = mx + b

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Problem 18871

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

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Problem 18872

Solve the following inequality. $3 x+7<31$
Select the correct choice below and fill in the answer box to complete your choice. A. The solution set is $\{x|x\rangle$ $\square$ \}. B. The solution set is $\{x \mid x<$ $\square$ \}. C. The solution set is $\{x \mid x \leq$ $\square$ \}. D. The solution set is $\{x \mid x \geq$ $\square$ \}.

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Problem 18873

Solve. $|4 x-7|=8$

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Problem 18874

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 18875

Question 9 (1 point) Evaluate the indicated function for $f(x)=x^{2}+6$ and $g(x)=x-5$ . $(f / g)(-4)-g(6)$ a $\quad-\frac{5}{26}$ b $-\frac{9}{13}$ c $\quad-\frac{31}{9}$ d $\quad-\frac{13}{9}$ e $\quad-\frac{9}{31}$

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Problem 18876

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 18877

$2(3 x+5)=10+4(2 x-3)$
Use the keypad to enter the answer in the box. $x=$

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Problem 18878

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 18879

$2 x+12=4$

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Problem 18880

2) Prove the following identities $\operatorname{arcos}(\pi+\theta)=2 \cos ^{2} \theta-1$

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Problem 18881

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 18882

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 18883

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 18884

Solve the following system of equations by the elimination method. Check the solution(s). $\left\{\begin{array}{l} 7 x-y=34 \\ x+y=6 \end{array}\right.$
Select the correct choice below and, if necessary, fill in any answer boxes within your choice. (Type an ordered pair.) - The system has a single solution. The graphs intersect at the point $\square$ The system is inconsistent and has no solutions. There are infinitely many solutions and the equations are dependent.

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Problem 18885

For the probability mass function $f(\mathrm{x}, \mathrm{y})=\frac{x+y}{250}$ for $\mathrm{x}=3,4,5,6,7$ and $\mathrm{y}=3,4,5,6,7$ Find $P(X=4 \mid Y=6)$

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Problem 18886

Solve the following system of equations by the elimination method. Check the solution(s). $\left\{\begin{array}{l} 2 x-y=3 \\ x+9 y=68 \end{array}\right.$
Select the correct choice below and, if necessary, fill in any answer boxes within your choice. (Type an ordered pair.) - The system has a single solution. The graphs intersect at the point $\square$ The system is inconsistent and has no solutions. There are infinitely many solutions and the equations are dependent.

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Problem 18887

```latex Given: $(CE) \parallel (DF)$ and $(AF) \parallel (BF)$
Show that: $(AC) \mid (BD)$ ```

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Problem 18888

Solve for $y$ in the equation below. Round your answer to the nearest hundredth. Do not round any intermediate computations. $e^{-3 y}=5$

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Problem 18889

Solve for $y$ in the equation below. Round your answer to the nearest hundredth. Do not round any intermediate computations. $e^{y-3}=9$

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Problem 18890

$\log _{7} 9$

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Problem 18891

11.6 Homework: Systems of Nonlinear Equations Score: 2.75/10 Answered: 2/10 Question 4
Solve the system by the substitution method. $\left\{\begin{array}{l} x y=30 \\ 3 x-y=9 \end{array}\right.$
Select the correct cheice below and, if necessary, fill in the answer box to complete your choice. Type an ordered pair and use a comma to separate answers as needed. - The solution(s) is/are $\square$ There is no solution.

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Problem 18892

The number of bacteria $P(h)$ in a certain population increases according to the following function, where time $h$ is measured in hours. $P(h)=2700 e^{0.09 h}$
How many hours will it take for the number of bacteria to reach 3200 ? Round your answer to the nearest tenth, and do not round any intermediate computations. hours

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Problem 18893

Solve the system. Use any method you wish. $\left\{\begin{array}{l} y=-\sqrt{x} \\ (x-17.5)^{2}+y^{2}=81.25 \end{array}\right.$
What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Type an ordered pair and use a comma to separate answers as needed. Type an exact answer, using radicals as needed. - The solution(s) is/are $\square$ There are no solutions. Question Help: $\square$ Video

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Problem 18894

Solve the system by the method of your choice. Hint: Let $u=\frac{1}{x^{2}}$ and $v=\frac{1}{y^{2}}$ . $\left\{\begin{array}{l} \frac{3}{x^{2}}-\frac{1}{y^{2}}=-1 \\ \frac{4}{x^{2}}+\frac{5}{y^{2}}=24 \end{array}\right.$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Type an ordered pair and use a comma to separate answers as needed. Type an exact answer, using fractions as needed. - The solution(s) is/are $\square$ There is no solution.

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Problem 18895

5. The variable $X$ has a continuous distribution given by the density $g_{X}(x)=\frac{1}{\ln 5} \frac{1}{1+x} 1_{[0,4]}(x)$ . Let $Y=$ $\ln (1+X)$ . Calculate $\mathbb{E} Y^{47}$ .

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Problem 18896

If: $13 \operatorname{Sin}\left(90^{\circ}-\theta\right)-5=0$ then: $\cos \theta=\ldots \ldots \ldots$ (a) $\frac{12}{13}$ (b) $-\frac{12}{13}$ (c) $-\frac{5}{13}$ (d) $\frac{5}{13}$
بقية الأسنلة فى الصفحة التالية

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Problem 18897

Cesimplfy $\begin{array}{l} Q(P \Rightarrow P) \Rightarrow \neg(Q \Rightarrow(Q) \\ T \Rightarrow \neg(\neg 6 \Rightarrow Q) \\ T \Rightarrow \neg(\neg T) \\ T \Rightarrow \neg F \end{array}$ $T \Rightarrow I$ always true (2) $(7 P \wedge \varphi) \vee(\neg P \wedge Q)$
Q/Find the converse and contrapositive "If Muna is studing for the mid-term exam then it is not hoilday time

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Problem 18898

(9) If : $\cos \frac{20^{\circ}+\theta}{2}=\sin \frac{40^{\circ}+\theta}{2}, 0^{\circ}<\theta<90^{\circ}$ then $\theta=$ $\qquad$ (a) $60^{\circ}$ (b) $45^{\circ}$ (c) $30^{\circ}$ (d) $20^{\circ}$ (10) If the ratio between areas of two similar triangles equals $9: 25$ and the pe the smaller triangle is 60 cm then the perimeter of the greater triangle equals (a) 60 (b) 80 (c) 100 (d) 120

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Problem 18899

Avery and Collin were trying to challenge each other with equations for sequences. Avery was looking at an explicit equation that Collin wrote. $t(n)=4.5 n-8$ a. Write the first 4 terms for the sequence. b. What would Avery do to write the $15^{\text {th }}$ term of this sequence? c. Write a recursive equation for this sequence.

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Problem 18900

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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Math Statement

Problem 18801

Problem 18802

Problem 18803

Simplify. 10125\sqrt{\frac{10}{125}}12510​​

Problem 18804

Problem 18805

Simplify the expression using the order of operations. 8+2×42=8+2×□=8+□=□\begin{aligned} 8+2 \times 4^{2} & =8+2 \times \square \\ & =8+\square \\ & =\square \end{aligned}8+2×42​=8+2×□=8+□=□​

Problem 18806

Write the expression as a sum and/or difference of logarithms. Express powers as factors. log⁡5(x3x−6),x>6\log _{5}\left(\frac{x^{3}}{x-6}\right), x>6log5​(x−6x3​),x>6 log⁡5(x3x−6)=\log _{5}\left(\frac{x^{3}}{x-6}\right)=log5​(x−6x3​)= □\square□ (Simplify your answer.)

Problem 18807

Problem 18808

Problem 18809

(1 point) Evaluate the following limit: lim⁡x→0sin⁡2(4x)1−cos⁡(9x)\lim _{x \rightarrow 0} \frac{\sin ^{2}(4 x)}{1-\cos (9 x)}x→0lim​1−cos(9x)sin2(4x)​

Problem 18810

Solve. x=7\sqrt{x}=7x​=7Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. x=x=x= □\square□ (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) B. The solution set is the empty set.

Problem 18811

Each of the regions A,BA, BA,B, and CCC bounded by the graph of fff and the xxx-axis has area 3 .Find the value of ∫−42[f(x)+2x+3]dx\int_{-4}^{2}[f(x)+2 x+3] d x∫−42​[f(x)+2x+3]dx. □\square□ 9

Problem 18812

Problem 18813

Add. (8z+5)+(7z+9)(8 z+5)+(7 z+9)(8z+5)+(7z+9)Submit

Problem 18814

Consider the system of linear equations shown below: 2x+9=−4y−x−y=2\begin{array}{c} 2 x+9=-4 y \\ -x-y=2 \end{array}2x+9=−4y−x−y=2​Create the coefficient matrix, DDD

Problem 18815

e for xxx : 6252x−4=1253x−2625^{2 x-4}=125^{3 x-2}6252x−4=1253x−2

Problem 18816

Question WatchSolve for x : 63x−4=1296−46^{3 x-4}=1296^{-4}63x−4=1296−4Answer Attempt 1 out of 2

Problem 18817

Subtract. (8h+9)−(h+4)(8 h+9)-(h+4)(8h+9)−(h+4)Submit

Problem 18818

Problem 18819

QuestionSolve for x : 643x+3=43x−364^{3 x+3}=4^{3 x-3}643x+3=43x−3Answer Attempt 1 out of 2

Problem 18820

Problem 18821

Consider the system of linear equations shown below: 2x+9=−4y−x−y=2\begin{array}{l} 2 x+9=-4 y \\ -x-y=2 \end{array}2x+9=−4y−x−y=2​ create the matrix, DxD_{x}Dx​

Problem 18822

Problem 18823

Simplify the expression using the order of operations. 82÷4+22=□÷4+22=+22\begin{aligned} 8^{2} \div 4+22 & =\square \div 4+22 \\ & =\quad+22 \end{aligned}82÷4+22​=□÷4+22=+22​

Problem 18824

Problem 18825

Find the intervals on which fff is concave upward/downward, and find the coordinates of the point of inflection if exists. (b) f(x)=ln⁡(x2+1)f(x)=\ln \left(x^{2}+1\right)f(x)=ln(x2+1)

Problem 18826

Problem 18827

Problem 18828

Find the critical value zα/2\mathrm{z}_{\alpha / 2}zα/2​ that corresponds to the confidence level 81%81 \%81%. zα/2=z_{\alpha / 2}=zα/2​= □\square□ (Round to two decimal places as needed.)

Problem 18829

Problem 18830

Problem 18831

Problem 18832

Problem 18833

Write 0.67 as a percentage.

Problem 18834

0/1p0 / 1 \mathrm{p}0/1pSolve the following system of equations with the substitution method: {x+4y=−32y=−2x+6\left\{\begin{array}{ll} x+4 y & =-32 \\ y & =-2 x+6 \end{array}\right.{x+4yy​=−32=−2x+6​Answer: (x,y)=1(x, y)=1(x,y)=1 □\square□ Preview xxx : □\square□ Preview yyy :

Problem 18835

Problem 18836

Find the equation for the parabola that has its focus at the (54,−3)\left(\frac{5}{4},-3\right)(45​,−3) and hhh directrix at x=354x=\frac{35}{4}x=435​. equation is (y+3)2=30(x−9.375)(y+3)^{2}=30(x-9.375)(y+3)2=30(x−9.375) Video 1 Video 2 Post to forum

Problem 18837

25) أو جد أعلى قيمة للدالة f(x)=−2x2+5x−7f(x)=-2 x^{2}+5 x-7f(x)=−2x2+5x−7

Problem 18838

Problem 18839

Problem 18840

Write the standard form of the equation of the circle with the given center and radius. Center (−7,2),r=5(-7,2), r=5(−7,2),r=5

Problem 18841

a) (x3+3x2−3x−2)÷(x−1)\left(x^{3}+3 x^{2}-3 x-2\right) \div(x-1)(x3+3x2−3x−2)÷(x−1)

Problem 18842

Problem 18843

6000+30200+10+1\begin{array}{r}6000+30 \\ 200+10+1\end{array}6000+30200+10+1​

Problem 18844

Factor the trinomial completely. x2−10x+9x^{2}-10 x+9x2−10x+9Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. x2−10x+9=□x^{2}-10 x+9=\squarex2−10x+9=□ (Type your answer in factored form:) B. The polynomial is prime.

Problem 18845

5=5(4n−1)35=\frac{5(4 n-1)}{3}5=35(4n−1)​

Problem 18846

Solve the equation. * 5x−6=295 x-6=295x−6=29 x=3x=3x=3 x=5x=5x=5 x=7x=7x=7 x=9x=9x=9

Problem 18847

Solve. 5.4=−t7.5t=\begin{aligned} 5.4 & =-\frac{t}{7.5} \\ t & = \end{aligned}5.4t​=−7.5t​=​

Problem 18848

Problem 18849

Problem 18850

Solve the equation. * 3x+8=23 x+8=23x+8=2 x=−4x=-4x=−4 x=−2x=-2x=−2 x=2x=2x=2 x=4x=4x=4

Problem 18851

Simplify. $\sqrt{\frac{10}{125}}$

Simplify the expression using the order of operations. $\begin{aligned} 8+2 \times 4^{2} & =8+2 \times \square \\ & =8+\square \\ & =\square \end{aligned}$

Write the expression as a sum and/or difference of logarithms. Express powers as factors. $\log _{5}\left(\frac{x^{3}}{x-6}\right), x>6$ $\log _{5}\left(\frac{x^{3}}{x-6}\right)=$ $\square$ (Simplify your answer.)

(1 point) Evaluate the following limit: $\lim _{x \rightarrow 0} \frac{\sin ^{2}(4 x)}{1-\cos (9 x)}$

Solve. $\sqrt{x}=7$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $x=$ $\square$ (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) B. The solution set is the empty set.

Each of the regions $A, B$ , and $C$ bounded by the graph of $f$ and the $x$ -axis has area 3 .
Find the value of $\int_{-4}^{2}[f(x)+2 x+3] d x$ . $\square$ 9

Add. $(8 z+5)+(7 z+9)$
Submit

Consider the system of linear equations shown below: $\begin{array}{c} 2 x+9=-4 y \\ -x-y=2 \end{array}$
Create the coefficient matrix, $D$

e for $x$ : $625^{2 x-4}=125^{3 x-2}$

Question Watch
Solve for x : $6^{3 x-4}=1296^{-4}$
Answer Attempt 1 out of 2

Subtract. $(8 h+9)-(h+4)$
Submit

Question
Solve for x : $64^{3 x+3}=4^{3 x-3}$
Answer Attempt 1 out of 2

Consider the system of linear equations shown below: $\begin{array}{l} 2 x+9=-4 y \\ -x-y=2 \end{array}$ create the matrix, $D_{x}$

Simplify the expression using the order of operations. $\begin{aligned} 8^{2} \div 4+22 & =\square \div 4+22 \\ & =\quad+22 \end{aligned}$

Find the intervals on which $f$ is concave upward/downward, and find the coordinates of the point of inflection if exists. (b) $f(x)=\ln \left(x^{2}+1\right)$

Find the critical value $\mathrm{z}_{\alpha / 2}$ that corresponds to the confidence level $81 \%$ . $z_{\alpha / 2}=$ $\square$ (Round to two decimal places as needed.)

$0 / 1 \mathrm{p}$
Solve the following system of equations with the substitution method: $\left\{\begin{array}{ll} x+4 y & =-32 \\ y & =-2 x+6 \end{array}\right.$
Answer: $(x, y)=1$ $\square$ Preview $x$ : $\square$ Preview $y$ :

Find the equation for the parabola that has its focus at the $\left(\frac{5}{4},-3\right)$ and $h$ directrix at $x=\frac{35}{4}$ . equation is $(y+3)^{2}=30(x-9.375)$ Video 1 Video 2 Post to forum

25) أو جد أعلى قيمة للدالة $f(x)=-2 x^{2}+5 x-7$

Write the standard form of the equation of the circle with the given center and radius. Center $(-7,2), r=5$

a) $\left(x^{3}+3 x^{2}-3 x-2\right) \div(x-1)$

$\begin{array}{r}6000+30 \\ 200+10+1\end{array}$

Factor the trinomial completely. $x^{2}-10 x+9$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. $x^{2}-10 x+9=\square$ (Type your answer in factored form:) B. The polynomial is prime.

$5=\frac{5(4 n-1)}{3}$

Solve the equation. * $5 x-6=29$ $x=3$ $x=5$ $x=7$ $x=9$

Solve. $\begin{aligned} 5.4 & =-\frac{t}{7.5} \\ t & = \end{aligned}$

Solve the equation. * $3 x+8=2$ $x=-4$ $x=-2$ $x=2$ $x=4$

$\begin{array}{l}(* 8)^{2}= \\ -(6)^{2}=\end{array}$

weBwork b - Iopics 10 - 12: Problem 3 (1 point)
Consider the function $f(x)$ whose second derivative is $f^{\prime \prime}(x)=4 x+7 \sin (x)$ . If $f(0)=4$ and $f^{\prime}(0)=3$ , what is $f(x)$ ?
Answer: $\square$

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: $\square$ , $\square$

Homework 6: Problem 23 (1 point)
If $f(x)=x \cosh ^{-1}\left(\frac{x}{2}\right)-\sqrt{x^{2}-4}$ then $f^{\prime}(6)=$ $\square$

Solve for $w$ . $(w+2)^{2}=2 w^{2}+11 w+16$
If there is more than one solution, separate them with commas.

Now, find the sum. $\begin{aligned} & 48+34 \\ = & 48+(2+32) \\ = & (48+2)+32 \\ = & ? \end{aligned}$

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 $\square$ $=x+5$ .

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 $\square$ $=x+5$ . $\square$

Solve the following equation for $\theta$ in the interval $\left[0^{\circ}, 360^{\circ}\right)$ . $4 \cos 2 \theta=1$

c) $4 x-5<2 x-7$

16. $x-y=5$

Solve the following system of equations. $\begin{aligned} 5 x+3 y+z & =-35 \\ x-3 y+2 z & =-7 \\ 14 x-2 y+3 z & =-78 \end{aligned}$

a) $-1<3+4 x<5$

Solve. $|4 x-7|=8$