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Problem 10901

Question 1 (1 point) An object falling near the earth's surface has a constant acceleration of $9.8 \mathrm{~m} / \mathrm{s}^{\wedge} 2$ . This means that the a object falls 9.8 m during the first second of its motion b object falls 9.8 m during each second of its motion c speed of the object increases by $9.8 \mathrm{~m} / \mathrm{s}$ during each second of its motion d acceleration of the object increases by $9.8 \mathrm{~m} / \mathrm{s}^{\wedge} 2$ during each second of its motion

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Problem 10902

Student James, Quinton $5 t-2(t+1)=t-10$ $t=-3$ $t=-4$ $t=-2$ $t=-12$

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Problem 10903

$4 a+4=3 a-4$ $-a=8$ $-a=0$ $a=-8$ $\mathrm{a}=0$

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Problem 10904

HW 14 Score: 0/9 Answered: 0/9
Question 1
You intend to conduct an ANOVA with 5 groups in which each group will have the same number of subjects: $n=22$ . (This is referred to as a "balanced" single-factor ANOVA.)
What are the degrees of freedom for the numerator? d.f. (treatment) = $\square$ What are the degrees of freedom for the denominator? d.f. (error) = $\square$ Submit Question

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Problem 10905

The vertices of triangle $P Q R$ are $P(-6,-4), Q(6,2)$ , and $R(-2,8)$ . Line segment $P Q$ can be defined by the equation: $x-2 y-2=0$ $x-3 y-2=0$ $y=\frac{1}{2} x+1$ $y=\frac{1}{3} x-2$

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Problem 10906

SPENDING BY THE NATIONAL RIFLE ASSOCIATION (NRA), BY ELECTION CYCLE
Source: Opensecrets.org, 2018.
If a researcher were interested in understanding how much the NRA spent in each state, what visual could be created to accurately display this information in the bar graph? (A) A table that gives details about the home states of candidates receiving money from the NRA in 1994
B An infographic that explains how the NRA has helped candidates win elections in the South C) A pie chart that shows the amount of money the NRA spent in each state since 1992 D) A map showing the dollar amounts spent by the NRA in each state since 1992

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Problem 10907

Answer two questions about Equations $A$ and $B$ : A. $5 x-2+x=x-4$ B. $5 x+x=x-4$ 1) How can we get Equation $B$ from Equation $A$ ?
Choose 1 answer: (A) Add/subtract a quantity to/from only one side
B Add/subtract the same quantity to/from both sides C Rewrite one side (or both) using the distributive property (D) Rewrite one side (or both) by combining like terms

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Problem 10908

Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 44 minutes and standard deviation 20 minutes. A researcher observed 6 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of $X$ ? $X \sim N($ $\square$ $\square$ ) b. What is the distribution of $\bar{x}$ ? $\bar{x} \sim N($ $\square$ $\square$ ) c. What is the distribution of $\square$ $x$ ? $\square$ $x \sim \mathrm{~N}($ $\square$ , $\square$ ) d. If one randomly selected student is timed, find the probability that this student's time will be between 33 and 44 minutes. $\square$ e. For the 6 students, find the probability that their average time studying is between 33 and 44 minutes. $\square$ f. Find the probability that the randomly selected 6 students will have a total study time less than 312 minutes. $\square$ g. For part e) and f), is the assumption of normal necessary? Yes No h. The top $15 \%$ of the total study time for groups of 6 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker? $\square$ minutes

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Problem 10909

Funktionenscharen: Sachaufgabe Der Damm Gegeben ist die Funktionenschar fa mit $f_{a}(x)=\frac{3 a x^{2}-x^{3}}{144} ; a>0$
Für bestimmte Werte von a beschreiben die Graphen von $f_{a}$ zwischen den Nullstellen von $f_{a}$ den Querschnitt eines Deiches. a Ermittle den Wert von a so, dass der Damm 15 m breit ist und hebe anschließend den entsprechenden Graphen in der rechten Abbildung farbig hervor. Beschrifte ihn korrekt. b Zeige, dass für a = 4 die Böschung auf der rechten Seite mit $45^{\circ}$ auf den horizontalen Boden trifft. c Ermittle den Wert von a so, dass der Deich an seiner höchsten Stelle 6 Meter hoch ist. [Kontrolle H (2a; $\frac{1}{36} \mathrm{a}^{3}$ )] d Wähle zwei verschiedene Werte für a und zeige, dass die Hochpunkte des entsprechenden Graphen von $f_{a}$ auf dem Graphen $G_{g}$ von $g$ mit $g(x)=\frac{1}{288} x^{3}$ liegen . e Bestimme die Stelle auf der linken Böschungsseite des Deiches, an der der Anstieg maximal wird (in Abhängigkeit von a).
Gib an, für welches a dieser maximale Anstieg $30^{\circ}$ beträgt.

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Problem 10910

In the market for baseball bats the equilibrium price is $\$ 20$ and at this price 125 bats are sold. If the price were $\$ 5$ more then firms would want to sell 140 bats but customers would only want to buy 110 bats. If the government imposed a price ceiling of $\$ 25$ for bats, how many bats would be sold? (A) 125 . (B) 140 . (C) 15 . (D) not enough information to answer this question.

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Problem 10911

We poll 450 people and find that $40 \%$ favor Candidate S. In order to estimate with $90 \%$ confidence the percent of ALL voters would vote for Candidate S, we should use: 2-SampZInt 2-PropZInt TInterval 1-PropZInt 2-SampTInt ZInterval

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Problem 10912

Let F be the function below. If you are having a hard time seeing the picture clearly, click on the picture. It will expand to a larger picture on its own page so that you can inspect it more clearly.
Evaluate each of the following expressions. Note: Enter 'DNE' if the limit does not exist or is not defined. a) $\lim _{x \rightarrow-1^{-}} F(x)=$ $\square$ $\lim _{x \rightarrow-1^{+}} F(x)=$ $\square$ $\lim _{x \rightarrow-1} F(x)=$ $\square$ $F(-1)=$ $\square$ $\square$ b) $\lim _{x \rightarrow 1^{-}} F(x)=$ $\square$ $\lim _{x \rightarrow 1^{+}} F(x)=$ $\square$ $\lim _{x \rightarrow 1} F(x)=$ $\square$ $F(1)=$ $\square$ c) $\lim _{x \rightarrow 3^{-}} F(x)=$ $\square$ $\lim _{x \rightarrow 3^{+}} F(x)=$ $\square$ $\lim _{x \rightarrow 3} F(x)=$ $\square$ $F(3)=$ $\square$

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Problem 10913

To solve radical equations, first isolate one of the radical terms if necessary. Is the radical term isolated? Yes No
What is the next step? Choose the correct answer below. A. Factor the radicand. B. Take the square root of the left side. C. Rewrite the equation using the principle of powers. D. Isolate $x$ on the left side of the equation.
Use the principle of powers. The principle of powers states that for any natural number $n$ , if $a n$ equation $a=b$ is true, then $\square$

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Problem 10914

Answer the following True or False: A researcher hypothesizes that the average student spends less than $20 \%$ of their total study time reading the textbook. The appropriate hypothesis test is a left tailed test for a population mean. false true

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Problem 10915

Graph the equation and identify the $y$ -intercept. $y=\frac{1}{2} x+1$
Use the graphing tool on the right to graph the equation.
Click to enlarge graph
The $y$ -intercept is $\square$ (Type an ordered pair.)

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Problem 10916

The average American gets a haircut every 43 days. Is the average smaller for college students? The data below shows the results of a survey of 13 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. $48,35,36,33,41,49,47,49,29,46,38,42,40$
What can be concluded at the the $\alpha=0.10$ level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: $H_{0}$ : ? 0 Select an answer $H_{1}$ : ? $\square$ Select an answer $\square$ c. The test statistic ? $\square$ $=$ $\square$ (please show your answer to 3 decimal places.) d. The $p$ -value $=$ $\square$ (Please show your answer to 3 decimal places.) e. The $p$ -value is ? $\square$ $\alpha$ f. Based on this, we should Select an answer $\square$ 0 숭 $\square$ : g. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly lower than 43 at $\alpha=0.10$ , so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is lower than 43. The data suggest the population mean number of days between haircuts for college students is not significantly lower than 43 at $\alpha=0.10$ , so there is insufficient evidence to conclude that the population mean number of days between haircuts for college students is lower than 43. The data suggest the population mean is not significantly lower than 43 at $\alpha=0.10$ , so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is equal to 43.

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Problem 10917

A triangular pyramid and its net are shown. Rain uses the calculations below to conclude that the surface area of the triangular pyramid is 238.5 square inches. $\begin{array}{c} 3\left(\frac{1}{2} \times 10 \times 13\right)+\left(\frac{1}{2} \times 10 \times 8.7\right) \\ 3(65)+43.5 \\ 238.5 \end{array}$
Is Rain correct? Use the drop-down menus to explain your reasoning.

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Problem 10918

(ج) مادة مشعة تضمحل حسب النموذج الأسي e = ) فإذا كانت فترة نصف الحياة لـ 1780 سنة، بَعْدَ كم سنة يتبقى ثلث المادة الأصلية ؟

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Problem 10919

The Warbler House Inn offers two plans for wedding parties. Under plan A, the inn charges $\$ 40$ for each person in attendance. Under plan B, the inn charges $\$ 1600$ plus $\$ 25$ for each person in excess of the first 30 who attend For what size parties will plan B cost less? (Assume that more than 30 guests will attend.)
Let $p$ repressents the number of guests. Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest whole number.) A. The solution set is $\{p \mid p$ ? $\square$ 3. B. The solution set is $\{p \mid p \geq$ $\square$ 3. C. The solution set is $\{p \mid p \leqslant$ $\square$ 3 D. The solution set is $\{p \mid p<$ $\square$ 3

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Problem 10920

Find a subset of the following set of vectors that forms a basis for the span(S). $(1,0,-2,3),(0,1,2,3),(2,-2,-8,0),(2,-1,10,3),(3,-1,-6,9)$

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Problem 10921

12 Die Ebene E besitzt die Spurgeraden $g: \vec{x}=\left(\begin{array}{l}4 \\ 0 \\ 0\end{array}\right)+r \cdot\left(\begin{array}{l}0 \\ 0 \\ 1\end{array}\right)$ und $h: \vec{x}=\left(\begin{array}{l}0 \\ 3 \\ 0\end{array}\right)+r \cdot\binom{0}{1}$ . a) Veranschaulichen Sie die Spurgeraden in einem Koordinatensystem. Geben Sie die Spurpunkte von $E$ an. b) Bestimmen Sie eine Koordinatengleichung von E und eine Gleichung der dritten Spurgeraden.

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Problem 10922

Question 6 of 10 Which of these is a geometric sequence? A. $3,-15,-33,-51,-69, \ldots$ B. $4,2,1, \frac{1}{2}, \frac{1}{4}, \ldots$ C. $3,6,9,12, \ldots$ D. $2,3,5,9,17, \ldots$

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Problem 10923

The interest rates paid by 30 financial institutions on a certain day for money market deposit accounts are shown in the accompanying table. \begin{tabular}{lcccccccc} \hline Rate \% & 2 & 2.25 & 2.55 & 2.56 & 2.58 & 2.60 & 2.65 & 2.85 \\ \hline Institutions & 1 & 7 & 8 & 3 & 2 & 6 & 1 & 2 \\ \hline \end{tabular}
Let the random variable $X$ denote the interest rate per year paid by a randomly chosen financial institution on its money market deposit accounts. (a) Find the probability distribution associated with these data. (Round your answers to three decimal places.) \begin{tabular}{cc} \hline Rate \% & $\boldsymbol{P}(\boldsymbol{X}=\boldsymbol{x})$ \\ \hline 2 & $\square$ \\ \hline 2.25 & $\square$ \\ \hline 2.55 & $\square$ \\ \hline 2.56 & $\square$ \\ \hline 2.58 & $\square$ \\ \hline 2.60 & $\square$ \\ \hline 2.65 & \\ \hline 2.85 & \\ \hline \end{tabular} (b) Find the probability that the interest rate paid by a financial institution chosen at random is less than 2.56\% per year. (Round your answer to three decimal places.) $\square$ Need Help? Read It

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Problem 10924

Emma just moved into a new apartment and finds out she has two different options for internet. - Company A charges $\$ 220$ per month with a non-refundable $\$ 100$ installation fee. - Company B offers a comparable internet package and charges $\$ 150$ per month with a non-refundable $\$ 200$ installation fee. a) Write an equation for the total cost to get the internet from Company $A$ for $t$ months. $y=$ b) Which sentence below, BEST describes the meaning of the slope of the equation above.
Select an answer c) Which line on the graph below represents the cost to rent from Company A for $t$ months?
The $\square$ Select an answer $\checkmark$ line represents the cost to get the internet from Company A for $t$ months. d) If Emma is planning on staying in the apartment for one semester of school ( 4 months), which internet plan should she choose. Which answer below best explains using a comparison? Select an answer e) If Emma is unsure how many months she needs to have internet, help her know under what conditions she should choose each of the plans. Company $A$ is always best, because it started out cheaper. Company $B$ is always best, becasue it costs less per month. In order to make a decision, Emma should look at the break even point! Company $A$ is best for the first month, and Company $B$ is best after that. Question Help: Message instructor
Post to forum

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Problem 10925

A food distribution company conducted a study to determine whether a proposed premium to be included in boxes of its cereal was appealing enough to generate new sales. Four cities were used as test markets, where the cereal was distributed with the premium, and four cities as control markets, where the cereal was distributed without the premium. The eight cities were chosen on the basis of their similarity in terms of population, per capita income, and total cereal purchase volume. Find the standard deviation of the percent change in market share for the control cities. \begin{tabular}{|c|c|c|} \hline \multirow{4}{}{ Test cities } & & \begin{tabular}{c} Percent Change in \\ Average Market Share per \\ Month \end{tabular} \\ \cline { 2 - 3 } & 1 & +10 \\ \cline { 2 - 3 } & 2 & +14 \\ \cline { 2 - 3 } & $\mathbf{3}$ & +18 \\ \hline \multirow{3}{}{\begin{tabular}{c} Control \\ cities \end{tabular}} & 1 & +2 \\ \cline { 2 - 3 } & 2 & +6 \\ \cline { 2 - 3 } & 3 & -2 \\ \cline { 2 - 3 } & $\mathbf{4}$ & -8 \\ \hline \end{tabular}
The standard deviation of the percent change in market share for the control cities is $\square$ (Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed.)

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Problem 10926

Given the image, which proportion is true? $\frac{A D}{A B}=\frac{A E}{A C}$ $\frac{A C}{A E}=\frac{A B}{D B}$ $\frac{A E}{E C}=\frac{A B}{D B}$ $\frac{D B}{A D}=\frac{A E}{\pi C}$

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Problem 10927

We are going to calculate the standard deviation for the following set of data: 12,1,5,5,11. 1) First, calculate the mean. $\text { mean }=$ $\square$ 2) Fill in the table below. Fill in the deviations (differences) of each data value firom the mean, then the squared differences. 3) Calculate the standard deviation.
Standard deviation: $\sqrt{\frac{\sum(\text { data }- \text { mean })^{2}}{\text { Number of values }}}=$ $\qquad$ Round to two decimal places

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Problem 10928

Use the principle of powers. The principle of powers states that for any natural number $n$ , if an equation $a=b$ is true, then $a^{n}=b^{n}$ is true. Use the principle of powers. $(\sqrt[4]{x-6})^{4}=1$ $\square$

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Problem 10929

Exercice 4: Un paquet de masse $m=10 \mathrm{~kg}$ , supposé comme un point matériel, glisse sans vitesse initiale à partir du point $A$ sur un plan incliné de hauteur $O A=h=4 m$ et de base $O B=h$ (voir figure ci-contre). Les frottements entre les surfaces en contact sont caractérisés par un coefficient cinétique $\mu_{c}=0.5$ . On prend $g=9.81 \mathrm{~m} \mathrm{~s}^{-2}$ .
1. Représenter et écrire les différentes forces agissant sur le paquet ;
2. Ecrire le principe fondamental de la dynamique ;
3. Projeter cette équation vectorielle seion les deux axes $X$ et $Y$ (qu'il faut définir), pour trouvel les deux équations scalaires qui régissent le mouvement du paquet;
4. En déduire les expressions de la force de frottement et de la force normale (réaction) en fonction de $m, g, \mu_{c}$ et $\alpha$ ;
5. Trouver l'expression de l'accélération a du paquet. Quelle est la nature de son mouvement? En déduire celle de sa vitesse $v(t)$ ;
6. Donner l'équation horaire $x(t)$ du pàquet ;
7. Quel est le temps nécessaire au paquet pour qu'il atteigne le point $B$ ?

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Problem 10930

5 Q.13) If $f(x)=\frac{\sec x}{x+3}$ and $f^{-1}(c)=0$ , then $c=$ A. $\frac{1}{3}$ B. 0 C. $\frac{2}{\sqrt{3}}$ D. $\frac{1}{4}$ cibtifantstius orsil $2=$ Q.14) One of the following equations is symmetric about origin A. $y=\frac{x+1}{x}$ B. $-x^{5}+3 x$ C. $y=x^{4}-2 x^{2}+6$ D. None $\begin{aligned} -2= & \left.-x^{5}\right)^{3 x} \\ & -\left(x^{5}\right. \end{aligned}$ Q.15) One of the following functions is an even function A. $f(x)=\frac{\sec 4 x}{5 x}$ B.None C. $f(x)=\frac{\cos 5 x}{2 x}$ D. $f(x)=\frac{\sin 2 x}{3 x}$ Q.16)The range of the function $f(x)=\frac{1}{\sqrt{4-x^{2}}}$ is A. $(0,2)$ B. $[0,2]$ C. $\left(\frac{1}{2}, \infty\right)$ D. $\left[\frac{1}{2}, \infty\right)$ E.None Q.17) Given that $f(x)=\frac{1}{x-3}$ and $g(x)=\frac{1}{x}$ then the domain of the function $f \circ g$ is A. $R \backslash\left\{0, \frac{1}{3}\right\}$ $B . R \backslash\{0\}$ C. $R \backslash\left\{\frac{1}{3}\right\}$ D. $R \backslash\{0,3\}$ E.None Q.18) (The greatest integer less than or equals $x$ ) The range of $f(x)=2[x]$ is A. $\{0,61,62,63$ , $\qquad$ B. $R \backslash\{0,61,62,63$ $\qquad$ $f|x|$ sec - C. $\{0,62,64,66$ $\qquad$ D. $(-\infty, \infty)$ Q.19) If the domain of the function $y=f(x)$ is $[2,3)$ then the domain of $g(x)=f(3-x)$ is A. $[2,3)$ B. $(0,1]$ C. $[0,1)$ D. $(2,3]$ E.None Q.20) Given that $f(x)=\sec ^{-1} x$ then $f(2)=$ A. $\frac{1}{\sin 2}$ B. $\frac{1}{\cos 2}^{x}$ C. $\cos ^{-1}\left(\frac{1}{2}\right)$ D. $\sin ^{-1}\left(\frac{1}{2}\right)$ E.None Q.21) Given that $f(x)=x^{2}$ and $g(x)=\left\{\begin{array}{l}2 x, \\ x+3, x \geq 4\end{array}\right.$ then $\left.(f \circ g)(x)=f(x)\right)$ A. $\left\{\begin{array}{cl}4 x^{2} & , x<4 \\ (x+1)^{2} & , x \geq 4\end{array}\right.$ B. $\left\{\begin{array}{cl}4 x^{2} & , x \leq 4 \\ (x+1)^{2} & , x>4\end{array}\right.$ C. $\left\{\begin{array}{cc}4 x^{2} & , \quad x<16 \\ (x+1)^{2} & , \quad x \geq 16\end{array}\right.$ D. $\left\{\begin{array}{cc}4 x^{2} & , x \leq 16 \\ (x+1)^{2} & , x>16\end{array}\right.$ Q.22) The domain of the function $f(x)=\operatorname{Ln}(5-|7 x+3|)$ is A. $\left[-\frac{8}{7}, \frac{2}{7}\right]$ B. $\left(-\frac{8}{7}, \frac{2}{7}\right)$ C. $R \backslash\left[-\frac{8}{7}, \frac{2}{7}\right]$ D. $\mathrm{R} \backslash\left(-\frac{8}{7}, \frac{2}{7}\right)$ Q.23) The domain of $f(x)=\cos ^{-1}(3 x+1)$ is $-1,1$ $-24-$ ولا تعت:

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Problem 10931

The 40 members of a recreation class were asked to name their favorite sports. The table shows the numbers who responded in various ways. Use information given in the table to answer parts (a) and (b). \begin{tabular}{|c|c|} \hline Sport & \begin{tabular}{c} Number of Class \\ Members \end{tabular} \\ \hline Sailing & 8 \\ Archery & 6 \\ Snowboarding & 6 \\ Bicycling & 4 \\ Rock Climbing & 8 \\ Rafting & 8 \\ \hline \end{tabular} (a) Construct a probability distribution. (Type integers or decimals rounded to three decimal places as needed.) \begin{tabular}{|c|c|c|} \hline Sport & \begin{tabular}{c} Number of Class \\ Members \end{tabular} & Probability \\ \hline Sailing & 8 & $\square$ \\ Archery & 6 & $\square$ \\ Snowboarding & 6 & \\ Bicycling & 4 & \\ Rock climbing & 8 & $\square$ \\ Rafting & 8 & $\square$ \\ \hline \end{tabular}

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Problem 10932

Use product nule $f(x)=8 \sin x \cos x$

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Problem 10933

Which of the following are solutions to the inequality below? Select all that apply. $70<9 r$ $r=3$ $r=2$ $r=1$ $r=8$

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Problem 10934

$2 A B C D$ is a rhombus of center $O$ , having a side of 4 cm and such that $\hat{A}=60^{\circ}$ . $I, J, K$ and $L$ are the midpoints of $[A D],[A B]$ , $[B C]$ and $[C D]$ respectively. $1^{\circ}$ Replace the symbol * by a point from the figure : a) $\overrightarrow{A I}=\overrightarrow{K^{}}$ b) $\vec{C} =\overrightarrow{K O}$ c) $\overrightarrow{W_{D}}=\overrightarrow{J O}$ d) $\vec{O} L=\vec{J}$ e) $\overrightarrow{K B}=\overrightarrow{B I}$ f) $\overrightarrow{O D}=\overrightarrow{B }$ $2^{\circ}$ Name the vectors equal to $\overrightarrow{I J}$ and equal to $\overrightarrow{A I}$ . $3^{\circ}$ Construct vector $\overrightarrow{A R}=\overrightarrow{D B}$ and vector $\overrightarrow{B P}=\overrightarrow{D A}$ . What do you notice ? $4^{\circ}$ Answer by True or False. a) $\overrightarrow{A I}=\overrightarrow{A J}$ b) $\overrightarrow{D L}=\overrightarrow{B K}$ folse c) $\overrightarrow{I J}=\overrightarrow{L K}$ Tfue d) $\overrightarrow{A R}=\overrightarrow{C D}$ falsc e) $\overrightarrow{A B}=-\overrightarrow{C B}$ f) $\overrightarrow{A D}=-\overrightarrow{C B}$ True g) $\overrightarrow{B I}=\overrightarrow{K D}$ . True $5^{\circ}$ Complete by $=$ or $\neq$ a) $\|\overrightarrow{A D}\| \ldots\|\overrightarrow{C D}\|$ b) $\overrightarrow{\mathrm{BC}}=\overrightarrow{\mathrm{AD}}$ c) $\overrightarrow{I J} \leftrightarrows \overrightarrow{K L}$ d) $\overrightarrow{B J} \therefore \overrightarrow{L D}$ e) $\|\overrightarrow{I K}\| \ldots\|\overrightarrow{J L}\|-\operatorname{mag} i t$ ade f) $\overrightarrow{O I} . \ldots \overrightarrow{O K}$ g) $\overrightarrow{L O} \doteqdot \overrightarrow{O J}$ h) $\overrightarrow{C K}=\overrightarrow{I A}$ . $6^{\circ}$ Complete by the convenient vector : a) The opposite of $\overrightarrow{B C}$ is $C R$ b) Vectors $\overrightarrow{A J}$ and ......... are equal. c) Vectors $\overrightarrow{L D}$ and $J R$ . are opposite. $\qquad$ d) The opposite of vector $\overrightarrow{A B}+\overrightarrow{C D}$ is $7^{\circ}$ Write $\overrightarrow{A B}$ as a sum of three vectors, then of four vectors. $8^{\circ}$ Calculate : a) $\|\overrightarrow{A I}+\overrightarrow{I B}\|$ b) $\|\overrightarrow{A D}+\overrightarrow{O J}\|$ c) $\|\overrightarrow{A O}+\overrightarrow{B J}\|$ d) $\|\overrightarrow{A D}+\overrightarrow{C B}\|$ .

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Problem 10935

Categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay. A. Exponential growth B. Exponential decay C. Linear increasing D. Linear decreasing

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Problem 10936

Blood pressure: A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters of mercury ( mmHg ), for a sample of 10 adults. The following table presents the results. \begin{tabular}{cc} \hline \multicolumn{2}{c}{ Systolic Diastolic } \\ \hline 150 & 94 \\ 134 & 87 \\ 105 & 66 \\ 107 & 71 \\ 115 & 83 \\ 110 & 74 \\ 113 & 77 \\ 157 & 103 \\ 116 & 70 \\ 112 & 75 \\ \hline \end{tabular} Send data to Excel
Part 1 of 3 (a) Construct a scatter plot of the diastolic blood pressure $(y)$ versus the systolic blood pressure $(x)$ .
Part: 1 / 3
Part 2 of 3 (b) Compute the correlation coefficient between systolic and diastolic blood pressure. Round your answer to at least 3 decimal places.
The correlation coefficient is $r=$ $\square$

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Problem 10937

Find the range and the domain of the function shown.
Write your answers as inequalities, using $x$ or $y$ as appropriate. Or, you may instead click on "Empty set" or "All reals" as the answer.

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Problem 10938

the numbers: $4,9,3,6,4,8,10,1,4,7,5$ Calculâte: a. Median b. Range

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Problem 10939

Question \# 2: (Total 6 points, each 2 points) A) Let $f(x)=3 x^{4}-4 x^{3}-12 x^{2}+1$ . Find the absolute maximum and absolute minimum values of the function $f$ on the interval $[1,3]$ .

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Problem 10940

خطوط التقارب 5
حدد كل خطوط التقارب الرأسية و المائلة للادالة a) $x=2, x=-3, y=x-1$ b) $x=2, x=-3, y=x+1$ c) $x=-2, x=-3, y=x-1$ d) $x=-2, x=3, y=x+1$

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Problem 10941

Ed Discussion Grades Honorlock ASUO ASU Tutoring Time in AZ ASU Course Policies Resources Accessibility 1.
Submit answer Practice similar
The table shows the profit, $P(t)$ in thousands of dollars, a bakery earns per year where $t$ is the number of years since 2013 ( $t=0$ represents the year 2013). \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline $t$ & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ \hline $P(t)$ & 9 & 7.1 & 7.6 & 9.4 & 12 & 12.4 & 10.6 & 10.5 \\ \hline \end{tabular} a. The profit is decreasing - by $\square$ thousand dollars per year between 2017 and 2020. b. The profit is $\square$ by $\square$ between 2014 and 2019. Submit answer Next item

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Problem 10942

(a) Sketch $\theta=\frac{5 \pi}{4}$ in standard position.
Then sketch an angle between $-2 \pi$ and 0 that is coterminal with $\theta$ . (b) Find the measure of the coterminal angle. Write your answer in terms of $\pi$ . Your answer should be bet $\square$ radians

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Problem 10943

Question 1 (2 points) Use the Unit Circle to match the following cosine functions to their exact value.
1. 1
2. $-\frac{\sqrt{2}}{2}$ $\cos \left(90^{\circ}\right)$ $\cos \left(300^{\circ}\right)$ $\cos \left(390^{\circ}\right)$ $\cos \left(-120^{\circ}\right)$ $\cos \left(150^{\circ}\right)$
3. $\frac{\sqrt{2}}{2}$
4. -1
5. $\frac{1}{2}$
6. $-\frac{\sqrt{3}}{2}$
7. $\frac{\sqrt{3}}{2}$
8. 0
9. $-\frac{1}{2}$

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Problem 10944

(a) Sketch $\theta=\frac{3 \pi}{4}$ in standard position.
Then sketch an angle between $-2 \pi$ and 0 that is coterminal with $\theta$ . (b) Find the measure of the coterminal angle. Write your answer in terms of $\pi$ . Your answer should b between $-2 \pi$ and 0 . $\square$ radians

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Problem 10945

3. Verify Mean-Value Theorem applies on the given interval, then find the values of $c$ in the interval that satisfy the conclusion: (Hint: Evaluate the slope of the secant line at the endpoints of the interval) $f(x)=x^{2}-x$ on the interval $[-3,5]$ .

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Problem 10946

Find the rate of change.
The rate of change is about \\square$ per year. (Type an integer or a decimal rounded to two d as needed.)

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Problem 10947

Question 5 (1 point) The function below is a model that describes the cyclical variation of the price of a stock share as a function of time in months from January 2023 ( $t=0$ corresponds to January). $P(t)=1.5 \cos \left(\frac{\pi}{4} t\right)+3.5$
What is the highest price per share? $\square$ A
What is the lowest price per share? $\square$ A In what month is the price lowest? (Type the month, starting with a capital.) $\square$ A

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Problem 10948

In Exercises 41-46, describe how to transform the graph of $y=\ln x$ into the graph of the given function. Sketch the graph by hand and support your sketch with a grapher.
41. $f(x)=\ln (x+3)$
42. $f(x)=\ln (x)+2$
43. $f(x)=\ln (-x)+3$
44. $f(x)=\ln (-x)-2$
45. $f(x)=\ln (2-x)$
46. $f(x)=\ln (5-x)$

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Problem 10949

Graph the following equation and if possible, determine the slope. $x=-4$
Use the graphing tool on the right to graph the equation.
What is the slope of the line? A. $m=$ $\square$

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Problem 10950

Below is the table for the function $f(x)$ . \begin{tabular}{|c|c|c|c|c|c|} \hline $x$ & 3 & 6 & 7 & 13 & 14 \\ \hline $y$ & 1 & 5 & 8 & 10 & 15 \\ \hline \end{tabular}
Choose the one table below which is the inverse function $f^{-1}(x)$ .
\begin{tabular}{|c|c|c|c|c|c|} \hline $x$ & 14 & 13 & 7 & 6 & 3 \\ \hline $y$ & 15 & 10 & 8 & 5 & 1 \\ \hline \end{tabular}
\begin{tabular}{|r|r|r|r|r|r|} \hline $x$ & 3 & 6 & 7 & 13 & 14 \\ \hline $y$ & $1 / 1$ & $1 / 5$ & $1 / 8$ & $1 / 10$ & $1 / 15$ \\ \hline \end{tabular}
\begin{tabular}{|c|c|c|c|c|c|} \hline $x$ & 1 & 5 & 8 & 10 & 15 \\ \hline $y$ & 3 & 6 & 7 & 13 & 14 \\ \hline \end{tabular}
\begin{tabular}{|r|r|r|r|r|r|} \hline $x$ & $1 / 1$ & $1 / 5$ & $1 / 8$ & $1 / 10$ & $1 / 15$ \\ \hline $y$ & 1 & 5 & 8 & 10 & 15 \\ \hline \end{tabular}

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Problem 10951

How many bonding groups exist in $\mathrm{NH}_{3}$ ? 3 1 2 4

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Problem 10952

(a) On a separate sheet of paper, sketch the parameterized curve $x=t \cos t, y=t \sin t$ for $0 \leq t \leq 4 \pi$ . Use your graph to complete the following statement:
At $t=4.5$ , a particle moving along the curve in the direction of increasing $t$ is moving down $\square$ and to the right (b) By calculating the position at $t=4.5$ and $t=4.51$ , estimate the speed at $t=4.5$ . speed $\approx$ $\square$ (c) Use derivatives to calculate the speed at $t=4.5$ and compare your answer to part (b). speed = $\square$
Note: You can earn partial credit on this problem. Preview My Answers Submit Answers

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Problem 10953

Problems that involve a regularly repeating pattern or oscillation can be modeled by trigonometric functions. A common example is using a trigonometric function to model blood pressure. Blood pressure measures the cyclic variation of pressure on the arterial wall as a response to heart rhythm.
The function below models the pressure cycle for one heartbeat. Pressure is measured in mm of mercury $(\mathrm{Hg})$ and time is measured in seconds. $P(t)=25 \sin \left(\frac{5 \pi}{2} t\right)+115$
The graph of $\mathrm{P}(\mathrm{t})$ is drawn above. Match the following features of the graph to their corresponding meanings. $\square$ Meaning of the period $\square$ $\qquad$ $\qquad$ $\qquad$ The amplitude of $\mathrm{P}(\mathrm{t})$ Meaning of the amplitude
The period of $\mathrm{P}(\mathrm{t})$ The blood pressure (systolic/diastolic) modeled by $\mathrm{P}(\mathrm{t})$
1. The change in blood pressure from the mean
2. The duration of one heartbeat (in seconds)
3. $140 / 90$
4. $4 / 5 \mathrm{sec}$
5. 25 mmHg
6. The maximum blood pressure
7. 115 mmHg
8. $115 / 25$
9. 48 bpm
10. 1.25 sec

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Problem 10954

Pop quiz scores 18) How many students scored 31 or higher?

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Problem 10955

Question 4 (1 point) The function below is a blood pressure model that describes a person's blood pressure in mm Hg as a function of time in seconds. $P(t)=15 \sin \left(\frac{13 \pi}{6} t\right)+110$
What is this person's heart rate in beats per minute? A bpm What is this person's maximum blood pressure? $\square$ $\underbrace{}_{\mathrm{mmHg}}$
What is this person's minimum blood pressure? $\square$ A) mmHg

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Problem 10956

What is the domain of the function shown in the table? \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 2 & 3 \\ \hline 4 & 4 \\ \hline 6 & 5 \\ \hline 8 & 6 \\ \hline \end{tabular} A. $(2,3),(4,4),(6,5),(8,6)$ B. $\{2,3,4,5,6,8\}$ C. $\{2,4,6,8\}$ D. $\{3,4,5,6\}$

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Problem 10957

A molecule with two lone pairs and two bonding groups would form what type of molecular geometry? Bent/Angular Linear Tetrahedral Trigonal Planar

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Problem 10958

The frequency polygon to the right shows a distribution of IQ scores. Determine if the following statement is true or false according to the graph.
The percentage of scores above 115 is equal to the percentage of scores below that score.
Is the statement true or false? True False

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Problem 10959

Problems that involve a regularly repeating pattern or oscillation can be modeled by trigonometric functions. A common example is using a trigonometric function to model blood pressure. Blood pressure measures the cyclic variation of pressure on the arterial wall as a response to heart rhythm.
The function below models the pressure cycle for one heartbeat. Pressure is measured in mm of mercury $(\mathrm{Hg})$ and time is measured in seconds. $P(t)=25 \sin \left(\frac{5 \pi}{2} t\right)+115$
The graph of $\mathrm{P}(\mathrm{t})$ is drawn above. Match the following features of the graph to their corresponding meanings. $\square$ The period of $\mathrm{P}(\mathrm{t})$
1. The change in blood pressure from the mean Meaning of the period The blood pressure (systolic/diastolic)
2. The duration of one heartbeat (in seconds) modeled by $\mathrm{P}(\mathrm{t})$
3. $140 / 90$
4. $4 / 5 \mathrm{sec}$ The amplitude of $\mathrm{P}(\mathrm{t})$
5. 25 mmHg Meaning of the
6. The maximum blood pressure amplitude
7. 115 mmHg
8. $115 / 25$
9. 48 bpm
10. 1.25 sec

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Problem 10960

Name: Jerald Bollingsley
1. (Section 6.2) A researcher wonders if final exams raise the stress level of college-freshmen. Under normal circumstances, the average systolic blood pressure of healthy college-freshman is 120 with a standard deviation of 12. During final's week, the researcher tests 30 college-freshmen just before their Statistics Final Exam. She determines their average blood pressure is 123.2 . What should she conclude? Set up and test an appropriate hypothesis test using level of significance $\alpha=0.05$ . [Note: The units for systolic blood pressure are " mm HG" (millimeters of mercury].

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Problem 10961

Which term describes the slope of the line below? A. Undefined B. Zero C. Positive D. Negative

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Problem 10962

In Exercises $15-22$ , find $f(g(x))$ and $g(f(x))$ . State the domain of each.
15. $f(x)=3 x+2 ; g(x)=x-1$
16. $f(x)=x^{2}-1 ; g(x)=\frac{1}{x-1}$
17. $f(x)=x^{2}-2 ; g(x)=\sqrt{x+1}$
18. $f(x)=\frac{1}{x-1} ; g(x)=\sqrt{x}$
19. $f(x)=x^{2} ; g(x)=\sqrt{1-x^{2}}$
20. $f(x)=x^{3} ; g(x)=\sqrt[3]{1-x^{3}}$
21. $f(x)=\frac{1}{2 x} ; g(x)=\frac{1}{3 x}$
22. $f(x)=\frac{1}{x+1} ; g(x)=\frac{1}{x-1}$

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Problem 10963

1. 12 donuts and 3 muffins were laid out on 5 plates in such a way that there are three cakes on each plate. a) Calculate the probability that there is a plate with at least two muffins on it. b) Assume that each muffin is on a different plate. From a randomly chosen plate we move one randomly chosen cake to a different plate. Calculate the probability that after this move, each muffin will still be on a different plate. c) Calculate the expected value of the number of muffins on the second plate.

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Problem 10964

Graph the solution to the inequality on the number line. $p<20.2$ $\square$

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Problem 10965

1. 12 donuts and 3 muffins were laid out on 5 plates in such a way that there are three cakes on each plate. a) Calculate the probability that there is a plate with at least two muffins on it. b) Assume that each muffin is on a different plate. From a randomly chosen plate we move one randomly chosen cake to a different plate. Calculate the probability that after this move, each muffin will still be on a different plate. c) Calculate the expected value of the number of muffins on the second plate.

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Problem 10966

Drag the answers to match the inequality and the situation it represents. t < 28 $\mathrm{t}>28$ t < 29 $\mathrm{t}>29$
Tony is younger than 29 years old. Tia ran the race in under 28 seconds. The table is heavier than 29 kilograms.
Steve has no more than 28 toys. The temperature is warmer than $28^{\circ} \mathrm{F}$ . 1 2 3 4 5 Finish

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Problem 10967

2. (Section 6.3) [Testing Binomial Data]
Ｙou may want to begin this problem by writing down the definition of $\alpha]$ . Suppose the null-hypothesis $H_{0}: p=0.7$ is tested against the alternative-hypothesis $H_{1}: p<0.7$ using a small sample size of $n=7$ . If the decision rule is to "Reject $H_{0}$ if $k \leq 3$ ", then what is the test's level of significance $\alpha$ ?

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Problem 10968

South High beat North High in basketball, scoring $\frac{4}{5}$ of the total points. Rachel scored $\frac{1}{4}$ of South High's points. What fraction of the total points did Rachel score?

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Problem 10969

The symbol of an unprefixed scientific unit has been left off of each measurement in the table below. Fill in the missing unit symbols. Note: by "scientific" unit we mean the SI unit, or unit approved for use with the SI, that is most often used by chemists for each measurement. \begin{tabular}{|rr|} \hline the mass of a US quarter $=$ & $6.5 \square$ \\ \hline the mass of a US penny $=$ & $2.5 \square$ \\ \hline the volume of soda in a sixpack $=$ & $1.2 \square$ \\ \hline the length of a pencil $=$ & $0.15 \square$ \\ \hline \end{tabular}

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Problem 10970

1. Each bunch of balloons has 3 red balloons and 3 purple balloons. a. Skip-count by threes to find the total number of balloons. b. Complete the statements.
10 threes is $\qquad$ $\qquad$ $\times 3=$ $\qquad$ 5 sixes is $\qquad$ . $\qquad$ $\times 6=$ $\qquad$ c. Use the pictures of balloons to help you complete the statement. 2 groups of $5 \times$ $\qquad$ is the same as $5 \times$ $\qquad$

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Problem 10971

$-8 x\left(-x^{2}+1\right)^{3}$

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Problem 10972

The function below has the form $f(x)=b^{x}+d$ .
Which of the following functions is shown on the graph? $f(x)=2^{x}+6$ $f(x)=2^{x}+4$

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Problem 10973

Fill in the information missing from this table. \begin{tabular}{|c|c|c|c|c|} \hline nuclide & protons & neutrons & $Z$ & $A$ \\ \hline $\square$ & 54 & 75 & $\square$ & $\square$ \\ \hline \begin{tabular}{c} 165 \\ ${ }_{67} \mathrm{Ho}$ \end{tabular} & $\square$ & $\square$ & $\square$ & $\square$ \\ \hline $\square$ & $\square$ & $\square$ & 9 & 19 \\ \hline \end{tabular}

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Problem 10974

Ordering 1 point Put the structures in order urine will pass through toward the blad
1 Ureter
2 Major calyces
3 Renal pelvis
4 Minor calyces

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Problem 10975

5. Let $X$ be a random variable from an exponential distribution with parameter 3. Calculate the variance of variable $Z=3 X-4$ . Is variable $Y=\frac{2}{X}$ continuous? If yes, find the density.

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Problem 10976

The position of a body moving on a coordinate line is given by $s(t)=\frac{16}{t^{2}}-\frac{4}{t}$ for $1 \leq t \leq 4$ , with $s$ in meters and $t$ in seconds.
Note: You don't have to simplify the calculations; in other words, the problem will accept, for example, $3^{\star} 7 / 4$ . a. Find the body's displacement (change in position) and average velocity for the given time interval.
Displacement: $\square$ m
Average velocity: $\square$ $\mathrm{m} / \mathrm{s}$ b. Find the body's velocity at the endpoints of the interval.
Velocity at $t=1$ : $\square$ $\mathrm{m} / \mathrm{s}$
Velocity at $t=4$ : $\square$ $\mathrm{m} / \mathrm{s}$

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Problem 10977

Franz multiplied $21 \times 68$ using the US andard Algorithm. He made an rror in multiplying the two numbers. xplain what error Franz made. What ; the product? $\begin{array}{r} 1 \\ 68 \\ \times 21 \\ \hline 68 \\ +\frac{136}{194} \end{array}$

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Problem 10978

For exercises 1-4, answer the questions. Ayana takes a survey of 300 registered voters in her city. She asks if they support increasing the amount of money spent on street repairs.
1. What is the population?
2. What is the parameter?
3. What is the sample?
4. What conclusion can Ayana make from the results of the sample?

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Problem 10979

The winning Super Bowl scores from 2013 to 2024 are: $13,23,24,25,28,31,31,34,34,38,41,43$
Put this data into the frequency table below. \begin{tabular}{c|c} Score & Frequency \\ \hline $10-15$ & 1 \\ $16-21$ & { $[?]$ } \\ $22-27$ & \\ $28-33$ & 3 \\ $34-39$ & \\ $40-45$ & 2 \end{tabular}

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Problem 10980

Find all values of the variable x for which the rational expression is undefined. $\frac{x+15}{(x+9)(x-2)}$
The expression is undefined when $x=$ $\square$ If there is more than one answer, write it as a list, using commas to separate your answers. Submit Question

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Problem 10981

The accompanying tree diagram represents an experiment consisting of two trials.
Use the diagram to find the probabilities below. $\begin{array}{l} \text { (a) } P(A) \\ 1.4 \end{array}$ $\begin{array}{l} \text { (b) } \quad P(E \mid A) \\ 5 \\ \text { (c) } \quad P(A \cap E) \\ 15 \end{array}$ (d) $P(E)$ $35$

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Problem 10982

In his book Outliers, author Malcolm Gladwell argues that more baseball players have birth dates in the months immediately following July 31 , because that was the age cutoff date for non-school baseball leagues. Here is a sample of frequency counts of months of birth dates of American-born professional baseball players starting with January:384, 329, 357, 348, 339, $312,313,505,412,428,401,362$ . 만 Using a 0.05 significance level, is there sufficient evidence to warrant rejection of the claim that American-born professional baseball players are born in different months with the same frequency? Do the sample values appear to support the author's claim?
Identify the null and alternative hypotheses. Choose the correct answer below. A. $\mathrm{H}_{0}$ : At least one month has a different frequency of American-born professional baseball player birth dates than the other months. $\mathrm{H}_{1}$ : The months immediately following July 31 have different frequencies of American-born professional baseball player birth dates than the other months. B. $\mathrm{H}_{0}$ : Birth dates of American-born professional baseball players occur with the same frequency in all months of the year. $\mathrm{H}_{1}$ : The months immediately following July 31 have different frequencies of American-born professional baseball player birth dates than the other months. C. $\mathrm{H}_{0}$ : Birth dates of American-born professional baseball players occur with the same frequency in all months of the year. $\mathrm{H}_{1}$ : At least one month has a different frequency of American-born professional baseball player birth dates than the other months. D. $H_{0}$ : At least one month has a different frequency of American-born professional baseball player birth dates than the other months. $\mathrm{H}_{1}$ : All months have different frequencies of American-born professional baseball player birth dates.

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Problem 10983

2. Determine if the following series converges or diverges: $\sum_{n=2}^{\infty} \frac{1}{n \ln n}$ .

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Problem 10984

In his book Outliers, author Malcolm Gladwell argues that more baseball players have birth dates in the months immediately following July 31 , because that was the age cutoff date for non-school baseball leagues. Here is a sample of frequency counts of months of birth dates of American-born professional baseball players starting with January: 384, 329, 357, 348, 339, $312,313,505,412,428,401,362$ . 믄 Using a 0.05 significance level, is there sufficient evidence to warrant rejection of the claim that American-born professional baseball players are born in different months with the same frequency? Do the sample values appear to support the author's claim?
Identify the null and alternative hypotheses. Choose the correct answer below. A. $\mathrm{H}_{0}$ : At least one month has a different frequency of American-born professional baseball player birth dates than the other months. $\mathrm{H}_{1}$ : The months immediately following July 31 have different frequencies of American-born professional baseball player birth dates than the other months. B. $\mathrm{H}_{0}$ : Birth dates of American-born professional baseball players occur with the same frequency in all months of the year. $H_{1}$ : The months immediately following July 31 have different frequencies of American-born professional baseball player birth dates than the other months. C. $\mathrm{H}_{0}$ : Birth dates of American-born professional baseball players occur with the same frequency in all months of the year. $\mathrm{H}_{1}$ : At least one month has a different frequency of American-born professional baseball player birth dates than the other months. D. $H_{0}$ : At least one month has a different frequency of American-born professional baseball player birth dates than the other months. $H_{1}$ : All months have different frequencies of American-born professional baseball player birth dates. Calculate the test statistic, $\chi^{2}$ . $\chi^{2}=\square$ (Round to two decimal places as needed.)

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Problem 10985

\frac{1}{4}

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Problem 10986

\text{Select the correct answer.}
\text{The height of the average wave, in feet, over } t \text{ hours at Sandy Beach is modeled by the function } g. $g(t)=4 \sin \left(\frac{\pi t}{6}\right)+5$
\text{The height of the average wave, in feet, over } t \text{ hours, at Windy Beach is modeled by function } h, \text{ shown on this graph.}
\text{The waves at which beach take a longer period of time to complete one full wave cycle?} \begin{enumerate} \item \text{This cannot be determined from the given information.} \item \text{Sandy Beach} \item \text{Windy Beach} \item \text{At both beaches it takes the same amount of time to go through one full wave cycle} \end{enumerate} (c) 2024 \text{ Edmentum. All rights reserved.}

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Problem 10987

stard (-10) (0) () (4) (16) MODONNIT? Name I CAN ADD + SUBTRACT RATIONAL NUMBERS Use your solutions to eliminate suspects and solve the mystery! The last 3 remaining are the solutions.
1. -1+ (-2)
2. 一:+(一) -16) dio 5. I CAN ADD + SUBTRACT RATIONAL NUMBERS -2+ (-3) 10. 1-2/1 1-2 -2-3 11. -- (-4) 12.-2+1 --(-3) 6. -19-(-2) -3+1 MHODON 쯤 + (-3) SUSPECT VICTIM WEAPON SNOW ANGEL JOE COOL -3 9/10 THE GRINCH -41/12 TOM TURKEY -6 1/12 SANTA CLAUS 17/21 JACK FROST -57/12 -1 23/36 LUCKY LEPRECHAUN -7/15 GROOVY GAL -47/15 PUMPKIN HEAD -13/15 SNOWFLAKE 1 13/30 LEAD PIPE -22/5 BRICK -2 1/2 CANDLESTICK -1928 POISON -1 1/20 WRENCH 2 11/12 72512 09209

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Problem 10988

Let $f$ be a continuous function on the interval $[0,8]$ . If we use the Trapezoidal Rule with $n=4$ to approximate the integral $\int_{0}^{8} f(x) d x$ , which of the following is the required approximation?
Select one: $\begin{array}{l} (f(0)+f(2)+f(4)+f(6)+f(8)) 2 \\ (f(0)+2 f(2)+2 f(4)+2 f(6)+f(8)) \frac{1}{2} \\ f(0)+2 f(2)+2 f(4)+2 f(6)+f(8) \\ f(0)+2 f(1)+2 f(2)+2 f(3)+2 f(4)+؛ \end{array}$

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Problem 10989

Let $f$ be a continuous function on the interval $[1,2]$ , such that $\left|f^{\prime \prime}(x)\right|<240$ for all $x \in[1,2]$ . Let $E_{M}$ be the error in approximating the integral $\int_{1}^{2} f(x) d x$ using the Midpoint Rule with $n=10$ . Which of the following estimates is guaranteed to hold?
Select one: $\left|E_{M}\right| \leq 0.0001$
$\left|E_{M}\right| \leq 0.001$
$\left|E_{M}\right| \leq 0.01$
$\left|E_{M}\right| \leq 0.1$

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Problem 10990

14. Pricrice suppose a trilangle wros ditated by a seale factor of s whith cemter of ailations? and the image of that diation was oivated by a scale factor of it with center of slation still at $P$ , What single tranisformation would havis the same effect on the originad triangle? luselfy your answer with an harge.

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Problem 10991

The parallel axis theorem gives the moment of inertia to an axis that is $\qquad$ to the original axis. Select one: a. linear b. non-linear c. perpendicular d. parallel

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Problem 10992

$62 \%$ of $104=64.48$ round thenth

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Problem 10993

Relate position, velocity, acceleration, and jerk
3. A particle moves along the $x$ -axis so that at time $t \geq 0$ is given by $x(t)=(t-1)^{3}(t-5)$ . On which of the following intervals is the particle always moving to the right? A. $0<t<4$ B. $1<t<4$ C. $t \geq 0$ D. $t>4$
4. A particle moves along the $x$ -axis. The function $v(t)$ gives the particle's velocity at time $t \geq 0$ . $v(t)=t^{3}-4 t^{2}-6 t+5$ A. What is the particle's velocity $v(t)$ at $t=4$ B. Find the particle's acceleration $a(t)$ at $t=4$ C. At $t=4$ , is the particle speeding up, slowing down, or neither? Justify.

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Problem 10994

Lesson 4 Practice Problems
1. Match each situation with a diagram.
A
B $\square$ C $y$ A. Dragroma $\qquad$ 1. Diego drank $x$ ounces of juice. Lin B.DiagramB drank $\frac{1}{4}$ less than that. C. Drograme. $\qquad$ 2. Lin ran $x$ miles. Diego ran $\frac{3}{4}$ more than that. $\qquad$

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Problem 10995

12.1 HW Question 29, 12.1.11-T HW Score: 24.57\%, 7.12 of 29 points Save
A certain statistics instructor participates in triathlons. The accompanying table lists times (in minutes and seconds) he recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a hill?
Click the icon to view the data table of the riding times.
Determine the null and alternative hypotheses. $H_{0}: \mu_{1}=\mu_{2}=\mu_{3}$ $H_{1}$ : At least one of the three population means is different from the others.
Find the F test statistic. $F=$ $\square$ (Round to four decimal places as needed.)
Riding Times (minutes and seconds) \begin{tabular}{llllll} Mile 1 & $3: 15$ & $3: 23$ & $3: 24$ & $3: 22$ & $3: 22$ \\ Mile 2 & $3: 18$ & $3: 21$ & $3: 22$ & $3: 17$ & $3: 20$ \\ Mile 3 & $3: 33$ & $3: 32$ & $3: 28$ & $3: 32$ & $3: 30$ \end{tabular} (Note: when pasting the data into your technology, each mile row will have separate columns for each minute and second entry. You will need to convert each minute/second entry into seconds only.)
Print Done Clear all Check answer

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Problem 10996

8. The zeros of the of a quadratic function are 1 and -5 . Which of the following could be the functions? Select all that apply. a) $f(x)=x^{2}-5 x+1$ b) $f(x)=x^{2}+5 x-1$ c) $f(x)=x^{2}+4 x-5$ d) $f(x)=x^{2}-4 x+5$ e) $f(x)=3 x^{2}+12 x-15$ f) $f(x)=3 x^{2}-12 x+15$

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Problem 10997

Find the mode for this list of numbers \begin{tabular}{|r|r|} \hline 56 & 87 \\ \hline 79 & 91 \\ \hline 4 & 40 \\ \hline 56 & 49 \\ \hline 75 & 34 \\ \hline 69 & 98 \\ \hline 48 & 24 \\ \hline 16 & \\ \hline \end{tabular}
Mode $=$
Question Help: Worked Example 1

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Problem 10998

Dante wants to rent a car. He has narrowed his choices to a sedan, a compact, or an economy car. The colours available are black, red, or white. He may also choose between a standard and an automatic transmission.
The number of options that Dante has is $\square$

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Problem 10999

Relate position, velocity, acceleration, and jerk
3. A particle moves along the $x$ -axis so that at time $t \geq 0$ is given by $x(t)=(t-1)^{3}(t-5)$ . On which of the following intervals is the particle always moving to the right? A. $0<t<4$ B. $1<t<4$ C. $t \geq 0$ D. $t>4$

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Problem 11000

For skydivers, it is recommended that the parachute is opened by the time they reach an altitude of 2900 ft . Once a parachute opens, skydivers fall at approximately $22 \mathrm{ft} / \mathrm{sec}^{2}$ .Assuming the chute opens at 2900 ft , the height in feet of a skydiver can be modeled by the function $H(x)=2900-22 x$ , where $x$ is the number of seconds after the chute opens.
Find the $x$ intercept and explain what it means in the context of this problem.
Part: $0 / 2$
Part 1 of 2
The $x$ intercept is $\square$ . Round to the nearest tenth if necessary. (Write your answer as an ordered pair. Select "None if applicable.)

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Analyze

Problem 10901

Problem 10902

Student James, Quinton 5t−2(t+1)=t−105 t-2(t+1)=t-105t−2(t+1)=t−10 t=−3t=-3t=−3 t=−4t=-4t=−4 t=−2t=-2t=−2 t=−12t=-12t=−12

Problem 10903

4a+4=3a−44 a+4=3 a-44a+4=3a−4 −a=8-a=8−a=8 −a=0-a=0−a=0 a=−8a=-8a=−8 a=0\mathrm{a}=0a=0

Problem 10904

Problem 10905

Problem 10906

Problem 10907

Problem 10908

Problem 10909

Problem 10910

Problem 10911

We poll 450 people and find that 40%40 \%40% favor Candidate S. In order to estimate with 90%90 \%90% confidence the percent of ALL voters would vote for Candidate S, we should use: 2-SampZInt 2-PropZInt TInterval 1-PropZInt 2-SampTInt ZInterval

Problem 10912

Problem 10913

Problem 10914

Answer the following True or False: A researcher hypothesizes that the average student spends less than 20%20 \%20% of their total study time reading the textbook. The appropriate hypothesis test is a left tailed test for a population mean. false true

Problem 10915

Graph the equation and identify the yyy-intercept. y=12x+1y=\frac{1}{2} x+1y=21​x+1Use the graphing tool on the right to graph the equation.Click to enlarge graphThe yyy-intercept is □\square□ (Type an ordered pair.)

Problem 10916

Problem 10917

Problem 10918

(ج) مادة مشعة تضمحل حسب النموذج الأسي e = ) فإذا كانت فترة نصف الحياة لـ 1780 سنة، بَعْدَ كم سنة يتبقى ثلث المادة الأصلية ؟

Problem 10919

Problem 10920

Find a subset of the following set of vectors that forms a basis for the span(S). (1,0,−2,3),(0,1,2,3),(2,−2,−8,0),(2,−1,10,3),(3,−1,−6,9)(1,0,-2,3),(0,1,2,3),(2,-2,-8,0),(2,-1,10,3),(3,-1,-6,9)(1,0,−2,3),(0,1,2,3),(2,−2,−8,0),(2,−1,10,3),(3,−1,−6,9)

Problem 10921

Problem 10922

Problem 10923

Problem 10924

Problem 10925

Problem 10926

Given the image, which proportion is true? ADAB=AEAC\frac{A D}{A B}=\frac{A E}{A C}ABAD​=ACAE​ ACAE=ABDB\frac{A C}{A E}=\frac{A B}{D B}AEAC​=DBAB​ AEEC=ABDB\frac{A E}{E C}=\frac{A B}{D B}ECAE​=DBAB​ DBAD=AEπC\frac{D B}{A D}=\frac{A E}{\pi C}ADDB​=πCAE​

Problem 10927

Problem 10928

Use the principle of powers. The principle of powers states that for any natural number nnn, if an equation a=ba=ba=b is true, then an=bna^{n}=b^{n}an=bn is true. Use the principle of powers. (x−64)4=1(\sqrt[4]{x-6})^{4}=1(4x−6​)4=1 □\square□

Problem 10929

Problem 10930

Problem 10931

Problem 10932

Use product nule f(x)=8sin⁡xcos⁡xf(x)=8 \sin x \cos xf(x)=8sinxcosx

Problem 10933

Which of the following are solutions to the inequality below? Select all that apply. 70<9r70<9 r70<9r r=3r=3r=3 r=2r=2r=2 r=1r=1r=1 r=8r=8r=8

Problem 10934

Problem 10935

Categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay. A. Exponential growth B. Exponential decay C. Linear increasing D. Linear decreasing

Problem 10936

Problem 10937

Find the range and the domain of the function shown.Write your answers as inequalities, using xxx or yyy as appropriate. Or, you may instead click on "Empty set" or "All reals" as the answer.

Problem 10938

the numbers: 4,9,3,6,4,8,10,1,4,7,54,9,3,6,4,8,10,1,4,7,54,9,3,6,4,8,10,1,4,7,5 Calculâte: a. Median b. Range

Problem 10939

Question \# 2: (Total 6 points, each 2 points) A) Let f(x)=3x4−4x3−12x2+1f(x)=3 x^{4}-4 x^{3}-12 x^{2}+1f(x)=3x4−4x3−12x2+1. Find the absolute maximum and absolute minimum values of the function fff on the interval [1,3][1,3][1,3].

Problem 10940

Problem 10941

Problem 10942

(a) Sketch θ=5π4\theta=\frac{5 \pi}{4}θ=45π​ in standard position.Then sketch an angle between −2π-2 \pi−2π and 0 that is coterminal with θ\thetaθ. (b) Find the measure of the coterminal angle. Write your answer in terms of π\piπ. Your answer should be bet □\square□ radians

Problem 10943

Problem 10944

Problem 10945

3. Verify Mean-Value Theorem applies on the given interval, then find the values of ccc in the interval that satisfy the conclusion: (Hint: Evaluate the slope of the secant line at the endpoints of the interval) f(x)=x2−xf(x)=x^{2}-xf(x)=x2−x on the interval [−3,5][-3,5][−3,5].

Problem 10946

Find the rate of change.The rate of change is about \ \square$ per year. (Type an integer or a decimal rounded to two d as needed.)

Problem 10947

Problem 10948

Problem 10949

Graph the following equation and if possible, determine the slope. x=−4x=-4x=−4Use the graphing tool on the right to graph the equation.What is the slope of the line? A. m=m=m= □\square□

Problem 10950

Problem 10951

How many bonding groups exist in NH3\mathrm{NH}_{3}NH3​ ? 3 1 2 4

Problem 10952

Problem 10953

Problem 10954

Pop quiz scores 18) How many students scored 31 or higher?

Problem 10955

Problem 10956

Problem 10957

A molecule with two lone pairs and two bonding groups would form what type of molecular geometry? Bent/Angular Linear Tetrahedral Trigonal Planar

Student James, Quinton $5 t-2(t+1)=t-10$ $t=-3$ $t=-4$ $t=-2$ $t=-12$

$4 a+4=3 a-4$ $-a=8$ $-a=0$ $a=-8$ $\mathrm{a}=0$

We poll 450 people and find that $40 \%$ favor Candidate S. In order to estimate with $90 \%$ confidence the percent of ALL voters would vote for Candidate S, we should use: 2-SampZInt 2-PropZInt TInterval 1-PropZInt 2-SampTInt ZInterval

Answer the following True or False: A researcher hypothesizes that the average student spends less than $20 \%$ of their total study time reading the textbook. The appropriate hypothesis test is a left tailed test for a population mean. false true

Graph the equation and identify the $y$ -intercept. $y=\frac{1}{2} x+1$
Use the graphing tool on the right to graph the equation.
Click to enlarge graph
The $y$ -intercept is $\square$ (Type an ordered pair.)

Find a subset of the following set of vectors that forms a basis for the span(S). $(1,0,-2,3),(0,1,2,3),(2,-2,-8,0),(2,-1,10,3),(3,-1,-6,9)$

Given the image, which proportion is true? $\frac{A D}{A B}=\frac{A E}{A C}$ $\frac{A C}{A E}=\frac{A B}{D B}$ $\frac{A E}{E C}=\frac{A B}{D B}$ $\frac{D B}{A D}=\frac{A E}{\pi C}$

Use the principle of powers. The principle of powers states that for any natural number $n$ , if an equation $a=b$ is true, then $a^{n}=b^{n}$ is true. Use the principle of powers. $(\sqrt[4]{x-6})^{4}=1$ $\square$

Use product nule $f(x)=8 \sin x \cos x$

Which of the following are solutions to the inequality below? Select all that apply. $70<9 r$ $r=3$ $r=2$ $r=1$ $r=8$

Find the range and the domain of the function shown.
Write your answers as inequalities, using $x$ or $y$ as appropriate. Or, you may instead click on "Empty set" or "All reals" as the answer.

the numbers: $4,9,3,6,4,8,10,1,4,7,5$ Calculâte: a. Median b. Range

Question \# 2: (Total 6 points, each 2 points) A) Let $f(x)=3 x^{4}-4 x^{3}-12 x^{2}+1$ . Find the absolute maximum and absolute minimum values of the function $f$ on the interval $[1,3]$ .

(a) Sketch $\theta=\frac{5 \pi}{4}$ in standard position.
Then sketch an angle between $-2 \pi$ and 0 that is coterminal with $\theta$ . (b) Find the measure of the coterminal angle. Write your answer in terms of $\pi$ . Your answer should be bet $\square$ radians

3. Verify Mean-Value Theorem applies on the given interval, then find the values of $c$ in the interval that satisfy the conclusion: (Hint: Evaluate the slope of the secant line at the endpoints of the interval) $f(x)=x^{2}-x$ on the interval $[-3,5]$ .

Find the rate of change.
The rate of change is about \\square$ per year. (Type an integer or a decimal rounded to two d as needed.)

Graph the following equation and if possible, determine the slope. $x=-4$
Use the graphing tool on the right to graph the equation.
What is the slope of the line? A. $m=$ $\square$

How many bonding groups exist in $\mathrm{NH}_{3}$ ? 3 1 2 4

The frequency polygon to the right shows a distribution of IQ scores. Determine if the following statement is true or false according to the graph.
The percentage of scores above 115 is equal to the percentage of scores below that score.
Is the statement true or false? True False

Graph the solution to the inequality on the number line. $p<20.2$ $\square$

South High beat North High in basketball, scoring $\frac{4}{5}$ of the total points. Rachel scored $\frac{1}{4}$ of South High's points. What fraction of the total points did Rachel score?

$-8 x\left(-x^{2}+1\right)^{3}$

The function below has the form $f(x)=b^{x}+d$ .
Which of the following functions is shown on the graph? $f(x)=2^{x}+6$ $f(x)=2^{x}+4$

Ordering 1 point Put the structures in order urine will pass through toward the blad
1 Ureter
2 Major calyces
3 Renal pelvis
4 Minor calyces