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Problem 52001

The table of values shows a linear relationship between $x$ and $y$ . \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-7 & 9 \\ \hline-2 & 1 \\ \hline 3 & -7 \\ \hline 8 & -15 \\ \hline \end{tabular}
What is the slope of the line represented by the table of values?

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Problem 52002

(1 point) Solve the separable differential equation for. $\frac{d y}{d x}=\frac{1+x}{x y^{6}} ; x>0$
Use the following initial condition: $y(1)=2$ . $y^{7}=$ $\square$

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Problem 52003

Drag the red and blue dots along the x -axis and y -axis to graph $-3 x+3 y=18$ .

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Problem 52004

Solve the equations
1. $\frac{d^{2} y}{d x^{2}}-\frac{d y}{d x}=0$
2. $2 \frac{d^{2} y}{d x^{2}}+\frac{d y}{d x}=0$
3. $\frac{d^{2} y}{d x^{2}}-4 y=0$
4. $\frac{d^{2} y}{d x^{2}}-\frac{d y}{d x}-2 y=0$
5. $\frac{d^{2} y}{d x^{2}}-2 \frac{d y}{d x}+y=0$
6. $\frac{d^{2} y}{d x^{2}}-5 \frac{d y}{d x}+6 y=0$
7. $\frac{d^{2} y}{d x^{2}}+y=0$
8. $3 \frac{d^{2} y}{d x^{2}}+2 \frac{d y}{d x}-y=0$
9. $4 \frac{d^{2} y}{d x^{2}}+4 \frac{d y}{d x}+y=0$
10. $\frac{d^{2} y}{d x^{2}}-3 \frac{d y}{d x}-10 y=0$
11. $\frac{d^{2} y}{d x^{2}}-9 y=0$
12. $\frac{d^{2} y}{d x^{2}}+9 y=0$
13. $\frac{d^{2} y}{d x^{2}}+\frac{d y}{d x}+y=0$
14. $\frac{d^{2} y}{d x^{2}}-10 \frac{d y}{d x}+25 y=0$
15. $\frac{d^{2} y}{d x^{2}}-2 \frac{d y}{d x}+4 y=0$
16. $3 \frac{d^{2} y}{d x^{2}}-4 \frac{d y}{d x}+y=0$
17. $\frac{d^{2} y}{d x^{2}}-2 a \frac{d y}{d x}+y=0$
18. $\frac{d^{2} y}{d x^{2}}-6 \frac{d y}{d x}+13 y=0$

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Problem 52005

System C
Line 1: $y=-x+1$
Line 2: $y=-\frac{1}{2} x+\frac{1}{2}$
This system of equations is: consistent dependent consistent independent inconsistent This means the system has: a unique solution Solution: $\square$ $\square$ infinitely many solutions no solution

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Problem 52006

Solve this equation to find the value of d. $58=36+d$

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Problem 52007

Factor completely: $11 v^{12}-3 v^{6} k^{4}-8 k^{8}$
Answer Attempt 3 out of 4 $\square$ Submit Answer

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Problem 52008

Find the value of $p+4$ , when $\frac{p}{4}=5$ . $p+4=\ldots$

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Problem 52009

Convert to millimeters.
Try using the metric prefix conversion chart: METRIC CONVERSION CHART Length/Capacity/Weight(Mass) Toce nerit to a smaller unit, maltipyly meving the decimel point to the right. Largerturit $\times 10 \times 10 \times 10 \times 10 \times 10$ smillestemt \begin{tabular}{|c|c|c|c|c|c|c|} \hline King & Henry & Died & By & Drinking & Chocolate & Mik \\ \hline Kilo & Hecto & Deka & \begin{tabular}{l} BASE \\ Meter \\ Uter \\ Gram \end{tabular} & Deci & Centi & Mili \\ \hline & & & $\begin{array}{l} \hline \text { whent } \\ \text { remic } \\ \hline \end{array}$ & & & \\ \hline \end{tabular}
Meter: Iength/distance Liter: capacity Grami weqht(mass)
100 meters $=$ $\square$ millimeters

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Problem 52010

Cell B21 What is the solution to this equation? $-4(2 m-7)=3(52-4 m)$

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Problem 52011

For 1-12, create the slope intercept form $(y=m x+b)$ based on the given information. 1) Slope $=1, b=-5$ 2) Slope $=-\frac{1}{2}, y$ -intercept $=3$

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Problem 52012

Solve the following system by substitution. $\begin{array}{l} 2 x-y=-7 \\ 4 y-x=7 \end{array}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer.) A. There is one solution. The solution set is $\square$ \}. (Type an ordered pair.) B. There are infinitely many solutions. The solution set is $\{(\square, y)\}$ , where $y$ is any real number. C. The solution set is $\varnothing$ .

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Problem 52013

Find the missing values by solving the parallelogram shown in the figure. (The lengths of the diagonals are given by $c$ and $d$ . Round your answers to two decimal places.) $\begin{array}{l} a=\square \\ b=29 \\ c=58 \\ d=39 \\ \theta=\square^{\circ} \\ \varphi=\square^{\circ} \end{array}$

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Problem 52014

Let $S=\left\{E_{1}, E_{2}, E_{3}, E_{4}\right\}$ be the sample space of an experiment. Event $A=\left\{E_{1}, E_{2}\right\}$ . Event $B=\left\{E_{3}\right\}$ . Event $C=\left\{E_{2}, E_{3}\right\}$ . The probabilities of the sample points are assigned as follows: \begin{tabular}{cc} \hline Sample point & Probability \\ \hline $E_{1}$ & 0.1374 \\ $E_{2}$ & 0.1301 \\ $E_{3}$ & 0.1854 \\ $E_{4}$ & 0.5471 \\ \hline \end{tabular}
Then, the events $A$ and $B$ are independent.
Select one: a. False b. True

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Problem 52015

Exercise 2. Circle the right answer
1. The graph of $y=2+\sqrt{3+x}$ can be obtained from the graph of $y=\sqrt{x}$ by a. Shifting the graph 3 units up then 2 units left b. Shifting the graph 3 units left then 2 units up c. Shifting the graph 3 units down then 2 units right d. Shifting the graph 2 units down then 3 units right
2. The graph of $y=2+\sqrt{x-3}$ can be obtained from the graph of $y=\sqrt{x}$ by a. Shifting the graph 3 units up then 2 units left b. Shifting the graph 2 units up then 3 units left c. Shifting the graph 3 units right and 2 units up d. Shifting the graph 2 units down then 3 units right
3. The graph of $y=2+\frac{1}{3+x}$ can be obtained from the graph of $y=\frac{1}{x}$ by a. Shifting the graph 3 units left then 2 units up b. Shifting the graph 3 units up then 2 units left c. Shifting the graph 3 units down then 2 units right d. Shifting the graph 2 units down then 3 units right 42
4. The graph of $y=2-(x-3)^{2}$ can be obtained from the graph of $y=x^{2}$ by a. Shifting the graph 3 units up then 2 units left b. Shifting the graph 2 units up then 3 units left c. Shifting the graph 3 units down then 2 units right d. Shifting the graph 3 units right, reflected about the $x$ -axis, then shifting 2 units up
5. The graph of $y=2+(x+3)^{2}$ can be obtained from the graph of $y=x^{2}$ by a. Shifting the graph 3 units up then 2 units left b. Shifting the graph 2 units up then 3 units left c. Shifting the graph 3 units down then 2 units right d. Shifting the graph 2 units down then 3 units right

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Problem 52016

1) Solve a) $(x+1)(x+2)=0$

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Problem 52017

Step 3 We now use the substitution $u=x^{7}+7 x$ and $d u=\left(7 x^{6}+7\right) d x$ to convert the entire integral into one involving only $u$ . $\begin{aligned} \int \frac{7 x^{6}+7}{\left(x^{7}+7 x\right)^{2}} d x & =\int\left(\frac{1}{\left(x^{7}+7 x\right)^{2}}\right)\left(\left(7 x^{6}+7\right) d x\right) \\ & =\int(\square) d u \end{aligned}$ Submit Skip_(you cannot come back)

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Problem 52018

Drag the red and blue dots along the x -axis and y -axis to graph $-2 x+2 y=18$ .

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Problem 52019

Question Watch Video
Factor completely: $9 r^{6}+14 r^{3} t^{2}-39 t^{4}$
Answer Attempt 1 out of 4

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Problem 52020

Next, we integrate the resulting integral with respect to $u$ using the Power Rule. (Use $C$ for the constant of integration.) $\begin{aligned} \int \frac{1}{u^{2}} d u & =\int u^{-2} d u \\ & =\square \end{aligned}$
Finally, replace $u$ by $g(x)=x^{7}+7 x$ to obtain the solution as a function of $x$ . (Use $C$ for the constant of integration.) $\square$

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Problem 52021

le récipient à l'état d'équilibre.
64. Quand on met $1,88 \mathrm{~mol}$ d'hydrogène gazeux et $2,86 \mathrm{~mol}$ d'iode gazeux dans un récipient de $2,00 \mathrm{~L}$ , un équilibre est atteint avec l'iodure d'hydrogène gazeux; la valeur de $K_{c}$ est de 55,3 à 700 K . Détermine la quantité (en moles) de chaque réactif et du produit dans le récipient quand l'équilibre est établi.

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Problem 52022

Determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle. $B=12^{\circ}, a=155, b=65$ Law of Sines Law of Cosines
Solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If two solutions exist, enter the solution set with the each corresponding answer blank.) smaller $A$ -value $\begin{array}{l} A_{1}=\square \\ C_{1}=\square \\ c_{1}=\square \end{array}$ larger $A$ -value $\begin{array}{l} A_{2}=\square^{\circ} \\ c_{2}=\square^{\circ} \\ c_{2}=\square^{\circ} \end{array}$

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Problem 52023

Calculate the kinetic energy of a $544 . \mathrm{kg}$ boat moving at a speed of $13.2 \frac{\mathrm{~m}}{\mathrm{~s}}$ . Round your answer to 3 significant digits.

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Problem 52024

12. The graph of $\mathbf{y}=3-|\mathbf{x}-2|$ can be obtained from $\quad \mathbf{y}=|\mathbf{x}|$ by a) Shifting $\mathbf{y}=|\mathbf{x}|$ 2units up and 3 units right. b) Shifting $\mathbf{y}=|\mathbf{x}| 2$ units right, reflecting it about the $x$ -axis, and shifting down 3 units. c) Shifting $\mathbf{y}=|\mathbf{x}| 2$ units left, reflecting it about the $x$ -axis, and shifting up 3 units. d) Shifting $\mathbf{y}=|\mathbf{x}|$ 2units right, reflecting it about the $x$ -axis, and shifting up 3 units
13. The graph of $\mathbf{y}=5-(\mathbf{x}-3)^{3}$ can be obtained from $y=x^{3}$ by a) Shifting $y=x^{3} 3$ units right, reflecting it about the $y$ -axis, and shifting up 5 units. 44 b) Shifting $y=x^{3} 3$ units left, reflecting it about the $x$ -axis, and shifting up 5 units. c) Shifting $y=x^{3} 3$ units up and 5 units right. d) Shifting $y=x^{3} 3$ units right, reflecting it about the $x$ -axis, and shifting up 5 units.
Exercise 3. Answer the following
1. If the graph of $\mathbf{f}(\mathbf{x})=\mathbf{x}^{2}$ is shifted 4 units right, reflected about the $x$ -axis and shifted 10 units up, then the graph of $f(x)$ becomes:
2. If the graph of $\mathbf{f}(\mathbf{x})=\mathbf{x}^{3}$ is shifted 2 units right, reflected about the $x$ -axis and shifted 1 units down, then the graph of $f(x)$ becomes:
Exercise 4. Use the graph of $f(x)=x^{3}$ to sketch the following graphs a) $f(x+2)$ b) $f(x)+2$ c) $f(x-1)+2$

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Problem 52025

(1) Felipe makes a bracelet with 10 beads. The table shows the number of beads of each color on the bracelet. Which statement about Felipe's bracelet is true? \begin{tabular}{|l|c|} \hline Color & Number of Beads \\ \hline Blue & 3 \\ \hline Green & 2 \\ \hline Red & 5 \\ \hline \end{tabular}
A The ratio of green beads to red beads is 5 to 2 . B For every 3 blue beads, there are 2 red beads. C The ratio of green beads to total beads is 2 to 10 . D For every 5 red beads, there are 5 total heads on the hrarolot

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Problem 52026

Fill in the blanks below in order to justify whether or not the mapping shown represents a function.
Answer Attempt 1 out of 2
The mapping diagram above $\square$ a function since $\square$ in $\square$ where there $\square$ $\square$

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Problem 52027

Mike is driving home from school for Thanksgiving. Shown here is the graph of the distance from Mike's home to his school as a function of time. How many miles from home is Mike's school? (1 point)
The distance from Mike's home to his school is $\square$ miles.

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Problem 52028

wo augmented matrices for two linear systems in the variables $x, y$ , and $z$ are given The augmented matrices are in reduced row-echelon form.
For each system, choose the best description of its solution. If applicable, give the solution. (a) $\left[\begin{array}{ccc:c} 1 & 0 & -2 & 1 \\ 0 & 1 & 0 & 4 \\ 0 & 0 & 0 & -7 \end{array}\right]$ The system has no solution. The system has a unique solution. $\square$ $\square$ $\square$ $(x, y, z)=(\square, \square, \square)$ The system has infinitely many solutions. $\begin{array}{l} (x, y, z)=(x, \square, \square) \\ (x, y, z)=(\square, y, \square) \\ (x, y, z)=(\square, \square, z) \end{array}$

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Problem 52029

$13 \frac{3}{1}=$

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Problem 52030

Solve for $x$ . $\log _{2}(5 x-7)=1$

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Problem 52031

Any basketball fan knows that Shaquille O'Neal, one of the NBA's most dominant centers of the last twenty years, always had difficulty shooting free throws. Over the course of his career, his overall made free-throw percentage was $53.3 \%$ . During one off season, Shaq had been working with an assistant coach on his free-throw technique. During the next season, a simple random sample showed that Shaq made 26 of 39 free-throw attempts. Test the claim at the 0.05 SL that Shaq has significantly improved his free-throw shooting. $H_{0}: p=\quad-0.533$ $\mathrm{H}_{\mathrm{a}}$ :p $=$ $\square$ 0.533 p-hat: $\square$ 0.667

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Problem 52032

Mike is driving home from school for Thanksgiving. Shown here is the graph of the distance from Mike's home to his school as a function of time. How many miles from home is Mike's school? (1 point)
The distance from Mike's home to his school is 20 miles.

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Problem 52033

Find the derivative of the function. $q=\sqrt{17 r-r^{5}}$

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Problem 52034

( 5 क 5 - 5 thetury (5) inte (5) 3 (5) \$0\%

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Problem 52035

Solve the following equation. $\sqrt{x-3}+5=x$
The solution set is $\square$ B. (Use a comma to separate answers as needed.)

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Problem 52036

Find the missing digits in each of the following. a. \begin{tabular}{ccc} & - & - \\ + & 8 & 5 \\ \hline- & 2 & 0 \end{tabular} b. \begin{tabular}{rrrr} - & 2 & 3 & 5 \\ 1 & 3 & - & 7 \\ $+\quad 3$ & 2 & 3 & 5 \\ \hline 8 & - & 6 & - \end{tabular}

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Problem 52037

$\left(\frac{3 m^{2} n^{7}}{m}\right)^{5}$

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Problem 52038

Multiply. $(u+1)(u-3)$

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Problem 52039

$\left|\frac{b}{12}\right|=10$

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Problem 52040

17/46 $\left(5^{3} x^{2} y^{4}\right)^{0}$ 0
1 5 5xy

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Problem 52041

Solve for $x$ . $\ln x=\ln (x-8)-\ln 2$

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Problem 52042

19/46
According to the product rule, when we multiply powers with the same base, we keep the base and $\qquad$ the exponents.

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Problem 52043

\begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|l|}{\begin{tabular}{l|l}
1. Factual Recall & 2. Carry out a Procedure \end{tabular}} \\ \hline \multicolumn{2}{|l|}{The function $f$ is logarithmic. The table shows output values over equal-length output value intervals. Complete the input values of the table.} & \multirow[t]{7}{*}{A logarithmic function has the form of $g(x)=a \cdot \log _{b} x$ , where $a>1$ and $b$ is the base. Use the table in \#1 to find $a$ and $b$ .} \\ \hline x & $f(x)$ & \\ \hline 1/9 & -4 & \\ \hline 1/3 & -2 & \\ \hline 0 & 0 & \\ \hline 2 & 2 & \\ \hline 4 & 4 & \\ \hline \end{tabular}

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Problem 52044

3. Classity a Mathematical Object
The number of bacteria, $b$ , grows continuously in a culture. There are initially 25 bacteria in the culture and the model is $b=25 e^{t / 2}$ . Which of the following indicates the correct logarithmic function, that gives time, $t$ in days, as the output value for an input value of $b$ bacteria? \begin{tabular}{|l|l|} \hline & Logarithmic Model $[t=f(b)$ days $]$ \\ \hline & $t=f(b)=2 \log _{2}\left(\frac{b}{25}\right)$ \\ \hline & $t=f(b)=2 \ln \left(\frac{b}{25}\right)$ \\ \hline & $t=f(b)=2 \ln (b-25)$ \\ \hline \end{tabular}

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Problem 52045

- Doise leved at various area urban haspital wre messarnal in decibols samplestandard deviation from aprevious study was 8 decibel emen of the reise leuds in 26 rond ouly selected corridars was 61.2 disible d a $95 \%$ contidace intored of the true mom (Sample men) same but $98 \%$ $\begin{array}{l} s=8 \\ 7=61.2 \\ n=23 \end{array}$ b-distribuation

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Problem 52046

A logarithmic function has the form of $h(x)=5 \cdot \log _{b} x+d$ , where $b$ is the base and $d$ is a constant. The function contains the input-output pairs of $(10,12)$ and $(100,17)$ . 1) Write two equations that could be used to find the values of $a$ and $b$ . 2) Show that $b=10$ and $d=7$ are solutions.

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Problem 52047

$-31=-39-\frac{y}{8}$

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Problem 52048

$-7 x-9=-2 x+31$

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Problem 52049

66. Le trichlorure de phosphoryle, $\mathrm{POCl}_{3}(\mathrm{~g})$ , est utilisé dans la fabrication de produits ignifuges. On le fabrique au moyen d'un procédé d'équilibre dans lequel le trichlorure de phosphore réagit avec le dioxyde d'azote pour former du $\mathrm{POCl}_{3}(\mathrm{~g})$ et du $\mathrm{NO}(\mathrm{g})$ selon l'équation suivante: $\mathrm{PCl}_{3}(\mathrm{~g})+\mathrm{NO}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{POCl}_{3}(\mathrm{~g})+\mathrm{NO}(\mathrm{~g})$
La valeur de $K_{\mathrm{c}}$ dans cette réaction à 800 K est de 1,82 . Si on met $1,86 \mathrm{~mol}$ de $\mathrm{PCl}_{3}(\mathrm{~g})$ et $1,64 \mathrm{~mol}$ de $\mathrm{NO}_{2}(\mathrm{~g})$ dans un récipient de $2,00 \mathrm{~L}$ , quelle sera la quantité, en moles, de chaque gaz à l'état d'équilibre à 800 K ?

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Problem 52050

Question Watch Video Show Examples
What is the equation of the line that passes through the point $(3,7)$ and has a slope of $\frac{2}{3}$ ?
Answer Attempt 1 out of 2 Submit Answer

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Problem 52051

The following data represent the muzzle velocity (in feet per second) of rounds fired from a 155-mm gun. For each round, two measurements of the velocity were recorded using two different measuring devices, resulting in the following data. Complete parts (a) through (d) below. \begin{tabular}{lcccccc} Observation & $\mathbf{1}$ & $\mathbf{2}$ & $\mathbf{3}$ & $\mathbf{4}$ & $\mathbf{5}$ & $\mathbf{6}$ \\ A & 792.1 & 793.4 & 792.3 & 790.5 & 791.8 & 791.4 \\ B & 794.9 & 791.6 & 799.8 & 788.2 & 794.0 & 788.8 \end{tabular} C. Two measurements $(A$ and $B)$ are taken on the same round. D. All the measurements came from rounds fired from the same gun. (b) Is there a difference in the measurement of the muzzle velocity between device $A$ and device $B$ at the $\alpha=0.01$ level of significance? Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Let $d_{i}=A_{i}-B_{i}$ . Identify the null and alternative hypotheses. $\begin{array}{l} H_{0}: \mu_{d}=0 \\ H_{1}: \mu_{d} \neq 0 \end{array}$
Determine the test statistic for this hypothesis test. $t_{0}=-0.60$ (Round to two decimal places as needed.) Find the P -value. P-value $=\square$ (Round to three decimal places as needed.)

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Problem 52052

A variable $x$ is normally distributed with mean 24 and standard deviation 9. Round your answers to the nearest hundredth as needed. a) Determine the $z$ -score for $x=29$ . $z=0.56 \quad>0^{\infty}$ b) Determine the $z$ -score for $x=23$ . $z=$ c) What value of $x$ has a $z$ -score of 0.67 ? $x=\square$
Enter an integer or decimal number [more.. d) What value of $x$ has a $z$ -score of 0 ? $x=24 \quad$ e) What value of $x$ has a $z$ -score of 0 ? $x=24 \quad 0^{\circ}$

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Problem 52053

$735 \times 53=$

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Problem 52054

3. In the equation $y=4 x$ , what is the constant of proportionality? a. $x$ b. $y$ c. 4 d. 0

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Problem 52055

Question Watch Video Show Examples
Write the equation of the line that passes through the points $(0,9)$ and $(0,7)$ . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line. Answer Attempt 1 out of 2

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Problem 52056

8. Which equation represents the proportional relationship " $y$ is $\frac{3}{5}$ of $x^{\text {"I? }}$ a. $y=\frac{5 x}{3}$ b. $y=\frac{3 x}{5}$ c. $y=\frac{5}{3} x$ d. $y=\frac{3}{-} x$

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Problem 52057

Factor. $x^{2}-14 x y+24 y^{2}$

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Problem 52058

Based on the graph of this normal distribution, a. The mean is $\square$ b. The median is $\square$ c. The mode is $\square$ d. The standard deviation is $\square$

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Problem 52059

Subtract. $(-8 j-6)-(-9 j+6)$

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Problem 52060

$\int \frac{2 x^{2}+7 x+1}{x^{2}+3 x} d x$

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Problem 52061

AISA 5 to the 8th power - Start Page
Jaxon has two bins. The bins are shaped like cubes with the dimensions shown.
Write an algebraic expression that Jaxon can use to find the total volume, in cubic inches, of the two bins for any value of $x$ .
Then find the total volume of the bins when $x=4$ .
Use the number pad and $x$ to enter your answers in the boxes.
Algebraic Expression: $125+x^{3}$
Total Volume when $x=4: 189$

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Problem 52062

The graph of $f(x)$ is shown in the figure. Where is $f^{\prime}(x)<0$ ?
Select the correct answer below: $(-\infty,-2) \cup(-2,1)$ $(-2,1)$ $(-\infty,-2) \cup(1, \infty)$ $(-\infty, \infty)$

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Problem 52063

Find the inverse of the function $f(x) = 3x + 3$ .

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Problem 52064

2.6cm 3.2cm 41 cm bxh As

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Problem 52065

1) 2) 3)
Prime Factors ${ }_{-} x_{-} x_{-} x_{-}=60$ Prime Factors Prime Factors ${ }_{-} x_{-} x_{-}=99$ $-x_{-} x_{-} x_{-} x_{-}=48$

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Problem 52066

Name $\qquad$ \& Far b we can add with bigger numbers! (1)
I have 16. Adding with teen
Extra Practice numbers Unit 3. 11 Then I get 3 more. Now I have $\qquad$ (2) Make it $14+3=$ (17
Equation $\qquad$ \begin{tabular}{|l|l|l|l|l|} \hline $a$ & 0 & $\cdot$ & & $n$ \\ \hline & & & & \\ \hline \end{tabular} $\square$ $\square$ (3) Make it a 3 $\qquad$ $=15+2$ $\qquad$ $\qquad$ \begin{tabular}{l} 4 $30+2=10+20+1+1$ \\ \hline $\square$ \\ \hline \end{tabular} $\qquad$ $\qquad$ Irue? Illustrative Math Friendly Extra Practice for Fists Grode OK

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Problem 52067

Use a change of variables or the table to evaluate the following indefinite integral. $\int \frac{e^{3 x}}{e^{3 x}+8} d x$

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Problem 52068

```latex The bar graph on the right shows the average cost of room and board at four-year public and private colleges for four selected years from 2011 through 2017. The data can be modeled by $f(x)=956x+3056$ and $g(x)=3943e^{0.138x}$ in which $f(x)$ and $g(x)$ represent the average cost of room and board at public four-year colleges in the school year ending $x$ years after 2010. Use these functions to complete parts (a) through (c) below.
Average Cost of Room and Board at Four-Year Colleges
a. According to the linear model, what was the average cost of room and board at public four-year colleges for the school year ending in 2015?
The average cost in 2015 was \$7836. (Round to the nearest dollar as needed.)
b. According to the exponential model, what was the average cost of room and board at public four-year colleges for the school year ending in 2015?
The average cost in 2015 was \$\square. (Round to the nearest dollar as needed.) ```

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Problem 52069

Solve for $x: 6^{2 x+5}=1296$ $x=$
Question Help: Message instructor

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Problem 52070

Frozen yogurt
Complete the sentences.
The distribution of weights is best described as $\square$ . So, the $\square$ are both appropriate measures of variation.

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Problem 52071

3. $\begin{array}{l} x+5 y=2 \\ x=-4 y+5 \end{array}$

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Problem 52072

6) $\left(7 \times 5+6^{2}\right)+2$ 7) $\left(86-6^{2}\right)+(-1+3)$ 8) $(35-5)+2+2^{2}$ 9) $(2+2)^{2}+(10+5)$ 10) $\left(61-5^{2}\right) \div(8+4)$

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Problem 52073

3. A plane intersects the prism parallel to the base. Which best describes the crosssection? (A) rectangle (C) pentagon (B) trapezoid (D) triangle

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Problem 52074

A resistor and a capacitor are in series with an AC source. The impedance is $Z=10.3 \Omega$ at 450 Hz and $Z=19.2 \Omega$ at 190 Hz . Find R and C . $\begin{array}{l} \mathrm{R}=\square \Omega \\ \mathrm{C}=\square \mu \mathrm{F} \end{array}$

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Problem 52075

6. Classify the triangle with the following side lengths: $20,21,29$

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Problem 52076

Rewrite the following equation in slope-intercept form. $-3 y-11=11 x$
Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Problem 52077

2. Draw a parallelogram and a rhombus. Explain how they are alike and how they are different.
3. Adrian went to his friend's house at 3:30 to play Legos. His mother came to take him back home at $4: 45$ . How much time did Adrian have to play?
4. Solve the following addition and subtraction problems. Show your work.
534 - 195 $\qquad$ $\qquad$ $294+309$ $\qquad$ $\qquad$ 4 Expert Task HW FUSD 10

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Problem 52078

26. $-0.04 w+\frac{a}{1.4}-b^{2}$ when $a=0.56, b=-1.2$ , and
28. $\frac{a}{z}$ when $a=\frac{14}{9}$ and $z=28$
30. $\frac{a+b}{a}$ when $a=\frac{1}{6}$ and $b=\frac{3}{4}$

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Problem 52079

A spinner with 5 equally sized slices has 2 red slices, 2 yellow slices, and 1 blue slice. Kala spun the dial 1000 times and got the following results. \begin{tabular}{|c|c|c|c|} \hline Outcome & Red & Yellow & Blue \\ \hline Number of Spins & 391 & 410 & 199 \\ \hline \end{tabular}
Answer the following. Round your answers to the nearest thousandths. (a) From Kala's results, compute the experimental probability of landing on blue.
(b) Assuming that the spinner is fair, compute the theoretical probability of landing on blue. $\square$ (c) Assuming that the spinner is fair, choose the statement below that is true. will be close to the theoretical probability.

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Problem 52080

Classify the Sampling Technique: * 1 point
Principal of your school randomly chooses 6 classrooms during period 2 and then randomly selects 5 students from each of the selected classrooms for a survey on bullying. Systematic Cluster Random Voluntary Response Simple Random
Match each term: 1 point
The population is invited to respond. cluster sample random sample voluntary response sample convenience sample systematic sample multi - stage sample

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Problem 52081

1) Simplify using laws of logarithms and then evaluate. a) $\log 9+\log 6$ b) $\log 48-\log 6$ c) $\log _{3} 7+\log _{3} 3$

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Problem 52082

What is the volume of this figure?

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Problem 52083

1. La gráfica muestra la altura de un ave en comparación con el nivel del suelo. ¿Qué representa el intercepto en $y$ ? (A) El ave comenzó el vuelo desde el nivel del suelo. (B) El ave comenzó el vuelo a 2 pies del suelo. (C) El ave asciende a una velocidad de 4 pies por segundo. (D) El ave asciende a una velocidad de 8 ples por segundo.
2. La gráfica muestra la velocidad de ascenso de una buzo a la superficie. ¿Qué representa el intercepto en $y$ ? (A) La buzo ascendió 10 metros por minuta. (B) La buzo comenzó en la superficie del agua. C) La buzo terminó su ascenso a 35 metros de profundidad. (D) La buzo comenzó su ascenso a 35 metros de profundidad.
3. Selecciona todos los enunciados que podrian describir la gráfica de una relación lineal no proporcional.
$\qquad$ El intercepto en $y$ es positivo. El intercepto en yes 0 . La recta interseca el origen.
4. La grafica muestra la cantidad de gasolina que hay en el tanque de Mark. Completa la oración para que el enunciado sea verdadero. Ei intercepto en y indica que en el tanque inicialmente habia $\square$ 375 15 El intercepto en y es negativo. galones de gasolina.
5. Jana gana $\$ 25$ por semana por cortar el césped. La cantidad de dinero de la cuenta de Jana se puede representar con la ecuación $y=25 x+125$ , donde $x$ es la cantidad de semanas que ha cortado el césped. ¿Qué representa el intercepto en $y$ ? (A) La cantidad de dinero que tiene Jana despuês de cortar 5 céspedes (B) La cantidad de dinero que gana Jana por cortar cada césped (C) La cantidad de dinero en la cuenta de lana antes de cortar céspedes (D) La cantidad de dinero que deposita lana despues de I semana de cortar céspedes

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Problem 52084

Fill in the left side of this equilibrium constant equation for the reaction of carbonic acid $\left(\mathrm{H}_{2} \mathrm{CO}_{3}\right)$ with water. $\Pi=K_{\mathrm{a}}$

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Problem 52085

7) Given that $\sin \frac{\pi}{6}=\frac{1}{2}$ , use an equivalent trigonometric expression to show that $\cos \frac{2 \pi}{3}=-\frac{1}{2}$

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Problem 52086

1. $f(x)=x$ , translation 4 units to the left

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Problem 52087

Match each term: 1
Every nth member of a population is chosen. cluster sample random sample voluntary response sample convenience sample systematic sample multi - stage sample
Indicate whether each variable is continuous or discrete. * 1
Speeds of vehicles on the highway. Continuous Discrete

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Problem 52088

The equation below describes a proportional relationship between $x$ and $y$ . What is the constant of proportionality $y=\frac{2}{7} x$
The constant of proportionality is $\square$

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Problem 52089

A student is conducting a study on the amount of time that high school students spend on the computer. She decides to start asking a sample of 30 students in the school how many hours they spend on the computer on a typical weekday night. Identify the type of sample in each of the following survey methods.
She selects every 36th student on the alphabetized list of the 1,100 students. Systematic Stratified Simple Random Cluster

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Problem 52090

When we employ $\qquad$ we are evaluating a project on the basis of its incremental cash flows, thereby ignoring the other cash flows of the firm.
Multiple Choice The stand-alone principle. The equivalence theorem. The law of one price. Bell's theorem. The equivalent annual cost procedure.

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Problem 52091

5-MATH ADVANCED 72-ROOM A-2 \#15.) 2-4: Constant of Proportionality - MathXL
The equation $P=5$ s represents the perimeter $P$ of a regular pentagon with side length s . What is the perimeter of a regular pentagon with side length 7 km ?
The perimeter is $\square$ km .

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Problem 52092

Match each term: Every $n$ th member of a population is chosen. cluster sample random sample voluntary response sample convenience sample systematic sample multi - stage sample
Identify the type of Bias: * 1 point
An election pollster used convenience sampling to determine the favourite party in a national election. Response Bias Measurement Bias Non-Response Bias Sampling Bias

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Problem 52093

9) Given that $\cos \frac{3 \pi}{11} \sim 0.6549$ , use equivalent trigonometric expressions to evaluate the following, to four decimal places. a) $\sin \frac{5 \pi}{22}$ b) $\sin \frac{17 \pi}{22}$

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Problem 52094

2. Solve by factoring. Confirm your results by graphing. a) $x^{2}+7 x-30=0$ c) $x^{2}-x-6=0$ b) $x^{2}+8 x+15=0$ d) $x^{2}-5 x+6=0$

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Problem 52095

In a certain chemical, the ratio of zinc to copper is 3 to 19. A jar of the chemical contains 836 grams of copper. How many grams of zinc does it contair
It contains $\square$ grams of zinc.

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Problem 52096

3. Factor the following perfect square trinomials. a) $x^{2}+6 x+9$ c) $9 x^{2}+6 x+1$ b) $x^{2}-8 x+16$ d) $4 x^{2}-12 x+9$

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Problem 52097

PRACTICE
4. Simplify. a) $\left(2 x+5-6 x^{2}\right)+\left(5 x-9 x^{2}+3\right)$ b) $\left(4 x^{2}-3 x+7\right)-\left(2 x^{2}-3 x+1\right)$ c) $(3 x+5)(4 x-7)$ d) $(2 x-1)(2 x+1)$

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Problem 52098

Find the derivative of $y$ with respect to $x$ . $y=\tan ^{-1} \sqrt{5 x}$

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Problem 52099

5. Factor. a) $x^{2}+3 x-40$ c) $81 x^{2}-49$ b) $6 x^{2}+5 x-6$ d) $9 x^{2}+6 x+1$

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Problem 52100

6. What term will make each expression a perfect trinomial square? a) $x^{2}+6 x+$ c) $4 x^{2}+\square+49$ b) $x^{2}+\square+25$ d) $9 x^{2}-24 x+$

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Math

Problem 52001

The table of values shows a linear relationship between xxx and yyy. \begin{tabular}{|c|c|} \hlinexxx & yyy \\ \hline-7 & 9 \\ \hline-2 & 1 \\ \hline 3 & -7 \\ \hline 8 & -15 \\ \hline \end{tabular}What is the slope of the line represented by the table of values?

Problem 52002

(1 point) Solve the separable differential equation for. dydx=1+xxy6;x>0\frac{d y}{d x}=\frac{1+x}{x y^{6}} ; x>0dxdy​=xy61+x​;x>0Use the following initial condition: y(1)=2y(1)=2y(1)=2. y7=y^{7}=y7= □\square□

Problem 52003

Drag the red and blue dots along the x -axis and y -axis to graph −3x+3y=18-3 x+3 y=18−3x+3y=18.

Problem 52004

Problem 52005

Problem 52006

Solve this equation to find the value of d. 58=36+d58=36+d58=36+d

Problem 52007

Factor completely: 11v12−3v6k4−8k811 v^{12}-3 v^{6} k^{4}-8 k^{8}11v12−3v6k4−8k8Answer Attempt 3 out of 4 □\square□ Submit Answer

Problem 52008

Find the value of p+4p+4p+4, when p4=5\frac{p}{4}=54p​=5. p+4=…p+4=\ldotsp+4=…

Problem 52009

Problem 52010

Cell B21 What is the solution to this equation? −4(2m−7)=3(52−4m)-4(2 m-7)=3(52-4 m)−4(2m−7)=3(52−4m)

Problem 52011

For 1-12, create the slope intercept form (y=mx+b)(y=m x+b)(y=mx+b) based on the given information. 1) Slope =1,b=−5=1, b=-5=1,b=−5 2) Slope =−12,y=-\frac{1}{2}, y=−21​,y-intercept =3=3=3

Problem 52012

Problem 52013

Problem 52014

Problem 52015

Problem 52016

1) Solve a) (x+1)(x+2)=0(x+1)(x+2)=0(x+1)(x+2)=0

Problem 52017

Problem 52018

Drag the red and blue dots along the x -axis and y -axis to graph −2x+2y=18-2 x+2 y=18−2x+2y=18.

Problem 52019

Question Watch VideoFactor completely: 9r6+14r3t2−39t49 r^{6}+14 r^{3} t^{2}-39 t^{4}9r6+14r3t2−39t4Answer Attempt 1 out of 4

Problem 52020

Problem 52021

Problem 52022

Problem 52023

Calculate the kinetic energy of a 544.kg544 . \mathrm{kg}544.kg boat moving at a speed of 13.2 m s13.2 \frac{\mathrm{~m}}{\mathrm{~s}}13.2 s m​. Round your answer to 3 significant digits.

Problem 52024

Problem 52025

Problem 52026

Fill in the blanks below in order to justify whether or not the mapping shown represents a function.Answer Attempt 1 out of 2The mapping diagram above □\square□ a function since □\square□ in □\square□ where there □\square□ □\square□

Problem 52027

Mike is driving home from school for Thanksgiving. Shown here is the graph of the distance from Mike's home to his school as a function of time. How many miles from home is Mike's school? (1 point)The distance from Mike's home to his school is □\square□ miles.

Problem 52028

Problem 52029

1331=13 \frac{3}{1}=1313​=

Problem 52030

Solve for xxx. log⁡2(5x−7)=1\log _{2}(5 x-7)=1log2​(5x−7)=1

Problem 52031

Problem 52032

Mike is driving home from school for Thanksgiving. Shown here is the graph of the distance from Mike's home to his school as a function of time. How many miles from home is Mike's school? (1 point)The distance from Mike's home to his school is 20 miles.

Problem 52033

Find the derivative of the function. q=17r−r5q=\sqrt{17 r-r^{5}}q=17r−r5​

Problem 52034

( 5 क 5 - 5 thetury (5) inte (5) 3 (5) \$0\%

Problem 52035

Solve the following equation. x−3+5=x\sqrt{x-3}+5=xx−3​+5=xThe solution set is □\square□ B. (Use a comma to separate answers as needed.)

Problem 52036

Find the missing digits in each of the following. a. \begin{tabular}{ccc} & - & - \\ + & 8 & 5 \\ \hline- & 2 & 0 \end{tabular} b. \begin{tabular}{rrrr} - & 2 & 3 & 5 \\ 1 & 3 & - & 7 \\ +3+\quad 3+3 & 2 & 3 & 5 \\ \hline 8 & - & 6 & - \end{tabular}

Problem 52037

(3m2n7m)5\left(\frac{3 m^{2} n^{7}}{m}\right)^{5}(m3m2n7​)5

Problem 52038

Multiply. (u+1)(u−3)(u+1)(u-3)(u+1)(u−3)

Problem 52039

∣b12∣=10\left|\frac{b}{12}\right|=10∣∣​12b​∣∣​=10

Problem 52040

17/46 (53x2y4)0\left(5^{3} x^{2} y^{4}\right)^{0}(53x2y4)0 01 5 5xy

Problem 52041

Solve for xxx. ln⁡x=ln⁡(x−8)−ln⁡2\ln x=\ln (x-8)-\ln 2lnx=ln(x−8)−ln2

Problem 52042

19/46According to the product rule, when we multiply powers with the same base, we keep the base and \qquad the exponents.

Problem 52043

Problem 52044

Problem 52045

Problem 52046

Problem 52047

−31=−39−y8-31=-39-\frac{y}{8}−31=−39−8y​

Problem 52048

−7x−9=−2x+31-7 x-9=-2 x+31−7x−9=−2x+31

Problem 52049

Problem 52050

The table of values shows a linear relationship between $x$ and $y$ . \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-7 & 9 \\ \hline-2 & 1 \\ \hline 3 & -7 \\ \hline 8 & -15 \\ \hline \end{tabular}
What is the slope of the line represented by the table of values?

(1 point) Solve the separable differential equation for. $\frac{d y}{d x}=\frac{1+x}{x y^{6}} ; x>0$
Use the following initial condition: $y(1)=2$ . $y^{7}=$ $\square$

Drag the red and blue dots along the x -axis and y -axis to graph $-3 x+3 y=18$ .

Solve this equation to find the value of d. $58=36+d$

Factor completely: $11 v^{12}-3 v^{6} k^{4}-8 k^{8}$
Answer Attempt 3 out of 4 $\square$ Submit Answer

Find the value of $p+4$ , when $\frac{p}{4}=5$ . $p+4=\ldots$

Cell B21 What is the solution to this equation? $-4(2 m-7)=3(52-4 m)$

For 1-12, create the slope intercept form $(y=m x+b)$ based on the given information. 1) Slope $=1, b=-5$ 2) Slope $=-\frac{1}{2}, y$ -intercept $=3$

1) Solve a) $(x+1)(x+2)=0$

Drag the red and blue dots along the x -axis and y -axis to graph $-2 x+2 y=18$ .

Question Watch Video
Factor completely: $9 r^{6}+14 r^{3} t^{2}-39 t^{4}$
Answer Attempt 1 out of 4

Calculate the kinetic energy of a $544 . \mathrm{kg}$ boat moving at a speed of $13.2 \frac{\mathrm{~m}}{\mathrm{~s}}$ . Round your answer to 3 significant digits.

Fill in the blanks below in order to justify whether or not the mapping shown represents a function.
Answer Attempt 1 out of 2
The mapping diagram above $\square$ a function since $\square$ in $\square$ where there $\square$ $\square$

Mike is driving home from school for Thanksgiving. Shown here is the graph of the distance from Mike's home to his school as a function of time. How many miles from home is Mike's school? (1 point)
The distance from Mike's home to his school is $\square$ miles.

$13 \frac{3}{1}=$

Solve for $x$ . $\log _{2}(5 x-7)=1$

Mike is driving home from school for Thanksgiving. Shown here is the graph of the distance from Mike's home to his school as a function of time. How many miles from home is Mike's school? (1 point)
The distance from Mike's home to his school is 20 miles.

Find the derivative of the function. $q=\sqrt{17 r-r^{5}}$

Solve the following equation. $\sqrt{x-3}+5=x$
The solution set is $\square$ B. (Use a comma to separate answers as needed.)

Find the missing digits in each of the following. a. \begin{tabular}{ccc} & - & - \\ + & 8 & 5 \\ \hline- & 2 & 0 \end{tabular} b. \begin{tabular}{rrrr} - & 2 & 3 & 5 \\ 1 & 3 & - & 7 \\ $+\quad 3$ & 2 & 3 & 5 \\ \hline 8 & - & 6 & - \end{tabular}

$\left(\frac{3 m^{2} n^{7}}{m}\right)^{5}$

Multiply. $(u+1)(u-3)$

$\left|\frac{b}{12}\right|=10$

17/46 $\left(5^{3} x^{2} y^{4}\right)^{0}$ 0
1 5 5xy

Solve for $x$ . $\ln x=\ln (x-8)-\ln 2$

19/46
According to the product rule, when we multiply powers with the same base, we keep the base and $\qquad$ the exponents.

$-31=-39-\frac{y}{8}$

$-7 x-9=-2 x+31$

Question Watch Video Show Examples
What is the equation of the line that passes through the point $(3,7)$ and has a slope of $\frac{2}{3}$ ?
Answer Attempt 1 out of 2 Submit Answer

$735 \times 53=$

3. In the equation $y=4 x$ , what is the constant of proportionality? a. $x$ b. $y$ c. 4 d. 0

Question Watch Video Show Examples
Write the equation of the line that passes through the points $(0,9)$ and $(0,7)$ . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line. Answer Attempt 1 out of 2

8. Which equation represents the proportional relationship " $y$ is $\frac{3}{5}$ of $x^{\text {"I? }}$ a. $y=\frac{5 x}{3}$ b. $y=\frac{3 x}{5}$ c. $y=\frac{5}{3} x$ d. $y=\frac{3}{-} x$

Factor. $x^{2}-14 x y+24 y^{2}$

Based on the graph of this normal distribution, a. The mean is $\square$ b. The median is $\square$ c. The mode is $\square$ d. The standard deviation is $\square$

Subtract. $(-8 j-6)-(-9 j+6)$

$\int \frac{2 x^{2}+7 x+1}{x^{2}+3 x} d x$

Find the inverse of the function $f(x) = 3x + 3$ .

1) 2) 3)
Prime Factors ${ }_{-} x_{-} x_{-} x_{-}=60$ Prime Factors Prime Factors ${ }_{-} x_{-} x_{-}=99$ $-x_{-} x_{-} x_{-} x_{-}=48$

Use a change of variables or the table to evaluate the following indefinite integral. $\int \frac{e^{3 x}}{e^{3 x}+8} d x$

Solve for $x: 6^{2 x+5}=1296$ $x=$
Question Help: Message instructor

Frozen yogurt
Complete the sentences.
The distribution of weights is best described as $\square$ . So, the $\square$ are both appropriate measures of variation.

3. $\begin{array}{l} x+5 y=2 \\ x=-4 y+5 \end{array}$

6) $\left(7 \times 5+6^{2}\right)+2$ 7) $\left(86-6^{2}\right)+(-1+3)$ 8) $(35-5)+2+2^{2}$ 9) $(2+2)^{2}+(10+5)$ 10) $\left(61-5^{2}\right) \div(8+4)$