Browse Math problems Studdy Solved!

Problem 51401

Which group contains two elements that exhibit +2 and +4 oxidation states?
Select one: a. Group 1A b. Group 3A c. Group 4A d. Group 5A e. Group 7A

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Problem 51402

Find a formula for the inverse of the function $f^{[-1]}(Q)=\square \quad f(x)=\ln (5 x+2) .$

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Problem 51403

$f(x)=\left\{\begin{array}{ll} 2 x+1, & x \leq-2 \\ x^{2}-7, & x>-2 \end{array}\right.$ increasing

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Problem 51404

Interactive Practice: Add with Negative Numbers
Find $-3 \frac{2}{3}+\left(-1 \frac{2}{3}\right)$
Model the expression on the number line.

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Problem 51405

Which of the following are reasons why the chemical properties of phosphorus are quite different from those of nitrogen, even though they are located very closely on the periodic table?
1. the greater electronegativity of nitrogen II. the larger size of the phosphorus atom III. nitrogen's ability to form stronger pi bonds IV. the empty valence $d$ orbitals on phosphorus

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Problem 51406

At a jazz club, the cost of an evening is based on a cover charge of $\$ 30$ plus a beverage charge of $\$ 5$ per drink. (a) Find a formula for $t(x)$ , the total cost for an evening in which $x$ drinks are consumed. $t(x)=5 x+30$ (b) If the price of the cover charge is raised by $\$ 5$ , express the new total cost function, $n(x)$ , as a transformation of $t(x)$ . $n(x)=t(x)+5$
Note: Do not give an explicit formula. Using function notation, write an expression for $n(x)$ by performing the necessary transformations to $t(x)$ . For example your answer should be of the form, $n(x)=t(x-100)+180$ and not of the form $n(x)=80 x+9$ . (c) The management increases the cover charge to $\$ 35$ , leaves the price of a drink at $\$ 5$ , but includes the first two drinks for free. For $x \geq 2$ , express $p(x)$ , the new total cost, as a transformation of $t(x)$ . $p(x)=\square$ (see note in (b) above for the correct way to express your answer)

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Problem 51407

Find the derivatives with respect to $x$ for the following expressions:
1. $y = \sqrt{\frac{(x-1)(x-2)}{(x-3)(x-4)}}$
2. $y = x^{\sin x}$

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Problem 51408

6. $2 x^{2}+5 x-1=0$ тэгшитгэлийн язгуурууд $x_{1}, x_{2}$ бол $x_{1} \cdot x_{2}=$ ? A. 5 B. $-\frac{5}{2}$ C. $-\frac{1}{2}$ D. $\frac{1}{2}$ E. -1
7. $x$ ба $y$ тооны арифметик дундаж $z$ нь 30 бол $x+y+z=$ ? A. 10 B. 15 C. 30 D. 60 E. 90

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Problem 51409

Find the accumulated value of an investment of $\$ 10,000$ for 6 years at an interest rate of $1.45 \%$ if the money is a. compounded semiannually, b. compounded quarterly, c. compounded monthly d . compounded continuously.
Click the icon to view some finance formulas. a. What is the accumulated value if the money is compounded semiannually? $\$ 10,905.54$ (Round to the nearest cent as needed) b. What is the accumulated value if the money is compounded quarterly? \\square$ (Round to the nearest cent as needed.)

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Problem 51410

Find $-3.75+1.5$
What is the sum? $-3.75+1.5=$

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Problem 51411

Question 22 of 25
Let $y$ represent the total cost of publishing a book (in dollars). Let $x$ represent the number of copies of the book printed. Suppose that $x$ and $y$ are related by the equation $y=15 x+1250$ .
Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change in the total cost for each book printed? \\qquad $What is the cost to get started (before any books are printed)? \$$ \qquad$

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Problem 51412

Of the last 60 people who went to the cash register at a department store, 13 had blond hair, 14 had black hair, 25 had brown hair, and 8 had red hair. Determine the experimental probability that the next person to come to the cash register has blond hair. $P($ blond $)=$ $\square$ (Simplify your answer.)

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Problem 51413

7. This exercise is about the simultaneous equations $\begin{array}{c} x+3 y=3 \\ x+y=5 \end{array}$ a) Graph the two equations on one pair of axes.

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Problem 51414

Problem situation: Amy's cable company charges her a $\$ 75$ installation fee and $\$ 89$ per month for cable services. She has had cable services for 10 months. How much has she paid in total for cable services? Select the equation that represents this situation. The letter $c$ represents the total cost of cable. CLEAR CHECK $\begin{array}{ll} 89+10+75=c \\ 89 \times 10 \times 75=c \\ 89 \times 10+75=c & (89+75) \times 10=c \end{array}$

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Problem 51415

The spinner at the right is divided into eight equal parts. Find the theoretical probability of landing on the given section(s) of the spinner.
P(even) $P($ even $)=\square$ (Simplify your answer.)

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Problem 51416

Find the angle $\theta$ between the vectors $\mathbf{v}=2 \mathbf{i}+\mathbf{k}, \mathbf{w}=\mathbf{j}-3 \mathbf{k}$ . $\theta=$ $\square$ degrees
Preview My Answers Submit Answers Your score was recorded. You have attempted this problem 1 time.

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Problem 51417

(a) How shany angles in the interval $[0,2 \pi)$ have a reference point with an $x$ -value of $-\frac{\sqrt{2}}{2}$ ? (b) How many angles in the interval $[0,2 \pi)$ have a reference point equal to $\left(-\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right)$ ? (c) How many angles $\theta$ in the interval $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$ satisfy the equation $\sin (\theta)=0$ ? (d) How many angles $\theta$ in the interval $[0, \pi]$ satisfy the equation $\cos (\theta)=\frac{1}{2}$ ? (e) How many angles $\theta$ in the interval $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ satisfy the equation $\tan (\theta)=1$ ?

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Problem 51418

Moshliw weok (1) $1.52 \times 2.5$

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Problem 51419

Find the angle $\theta$ between the vectors $\mathbf{v}=4 \mathbf{i}-\mathbf{j}+\mathbf{k}, \mathbf{w}=2 \mathbf{i}+3 \mathbf{j}+5 \mathbf{k}$ . $\theta=$ $\square$ degrees

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Problem 51420

$\begin{array}{l} 0 x^{2}-3 x=2 y-5 \\ 2 x^{2}+x=y-4 \end{array}$ b) $\begin{array}{l} x^{2}+y=8 x+19 \\ x^{2}-y=7 x-11 \end{array}$ c) $\begin{array}{l} 2 p^{2}=4 p-2 m+6 \\ 5 m+8=10 p+5 p^{2} \end{array}$ d) $\begin{array}{l} 9 w^{2}+8 k=-14 \\ w^{2}+k=-2 \end{array}$ e) $\begin{array}{l} 4 h^{2}-8 t=6 \\ 6 h^{2}-9=12 t \end{array}$

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Problem 51421

14. [0/1 Points]
DETAILS MY NOTES SPRECALC8 6.2.067. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER elevation is found to be $36^{\circ}$ . Estimate the height of the mountain (in ft ). (Round your answer to the nearest foot.) 4477 $x \mathrm{ft}$
Need Help? Read It Watch it

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Problem 51422

1. Find the product of the following -4 (9)
Type a response
Show Your Work

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Problem 51423

Solve the inequality by the test-point method. Write the solution in interval notation. $x^{2}+4 x+3>0$ $(-3,-1)$ None of these answers $(-1, \infty)$ $(-\infty,-3) \cup(-1, \infty)$ $(-\infty,-3)$

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Problem 51424

Find the distance between P and Q . $P(-1,1), Q(-6,-11)$ 26 14 169 13 None of these answers

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Problem 51425

Find $\sin \theta$ , where $\theta$ is the angle shown. Give an exact value, not a decimal approximation. $\sin \theta=$ $\square$

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Problem 51426

Identify whether the following equation is an identity. Give your answer as a yes or a no. $a+\left(1+\frac{1}{a-1}\right)=a \times\left(1+\frac{1}{a-1}\right)$

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Problem 51427

omit Assignment Practice MA111 Fall 24
Question 12 - of 48 Step 1 of 1
Solve the following formula for the indicated variable. $\mathrm{v}^{2}=\mathrm{v}_{0}^{2}+2 \mathrm{ax} ; \text { solve for } a$
Answer 2 Points

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Problem 51428

Part B: Researchers gave one group of people pills containing Vitamin C to take every day and gave another group of people similar pills, but without the Vitamin C. The researchers counted the number of people in each group who got a cold during the next year. Use the graph to estimate the numbers you need to answer the questions.
Question 3 (8 points) About how many people who didn't take Vitamin C got a cold?

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Problem 51429

$x=\frac{-8}{2(-4)}$

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Problem 51430

Choose ALL answers that describe the polygon $D E F G$ if $D E=E F=F G=G D$ .
Answer Attempt 2 out of 3 Parallelogram Quadrilateral Rectangle Rhombus Square Trapezoid Submit Answer

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Problem 51431

1) Tarik sells cups of lemonade. Today his expenses are $-\$ 6.80$ and his sales are $\$ 4.40$ . Does Tarik have more or less money than he did at the start of the day?
Find the sum. $-6.80+4.40=$ $\square$

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Problem 51432

2. Find the product of the foliowing expression $(-3)(7)(-2)$
Type a response Show Your Work

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Problem 51433

Find the derivative. $\frac{d}{d \theta} \int_{0}^{\tan \theta} \sec ^{2} y d y$ a. by evaluating the integral and differentiating the result. b. by differentiating the integral directly. a. To find the derivative by evaluating the integral and differentiating the result, first find the antiderivative, $F$ , of the integral. $\frac{d}{d \theta} \int_{0}^{\tan \theta} \sec ^{2} y d y=\frac{d}{d \theta}[\square+C] \square$

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Problem 51434

Graph the solution set of the following system of inequalities. $\begin{array}{r} 3 x+6 y \leq 6 \\ 3 x+y \leq 6 \end{array}$

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Problem 51435

Triangle $D E F$ is formed by connecting the midpoints of the side of triangle $A B C$ . The lengths of the sides of triangle $A B C$ are shown. Find the perimeter of triangle $D E F$ . Figures not necessarily drawn to scale.

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Problem 51436

You are asked to show that $\frac{1}{x+1}+\frac{1}{x-1}=\frac{2 x}{x^{2}-1}$ . Which of the following would be an appropriate first step?
1 Subtract $\frac{1}{x-1}$ from both sides. (2) Substitute in several values of $x$ to see if it is true.
3 Multiply both sides by $x^{2}-1$ to clear the denominators.
4 Find a common denominator on the LHS to combine the two rational expressions (i.e., fractions) into one.

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Problem 51437

You may use a graphing calculator when answering these questions.
83. Multiple Choice A sinusoid with amplitude 4 has a minimum value of 5 . Its maximum value is (A) 7. (B) 9 . (C) 11 . (D) 13 . (E) 15 .

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Problem 51438

(a) Let $g(x)$ be some function whose graph passes through the point $(3,-6)$ . Let $h(x)=g(x)+7$ . Based on this information, what point do you know must be on the graph of $h$ ? (b) Let $g(x)$ be some function whose domain is the interval $[1,2]$ and whose image is the interval $[-1,1]$ . Let $h(x)=g\left(\frac{1}{5} x\right)$ . What are the domain and image of $h(x)$ ?

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Problem 51439

Triangle $U V W$ is formed by connecting the midpoints of the side of triangle RST. The lengths of the sides of triangle $R S T$ are shown. What is the length of $\overline{W V}$ ? Figures not necessarily drawn to scale.

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Problem 51440

(1 point) Find the following expressions using the graph below of vectors $\mathbf{u}, \mathbf{v}$ , and $\mathbf{w}$ .
1. $\mathbf{u}+\mathbf{v}=$ i+4j
2. $2 u+w=$ $\square$
3. $3 \mathbf{v}-6 \mathbf{w}=$ $\square$
4. $|w|=$ $\square$

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Problem 51441

Prob. 4 On the right, the graph of the function $f(x)$ is shown.
On the below plots, perform the six steps detailed on the previous page in order to transform this graph into that of: $-3 f\left(\frac{1}{2}(x+2)\right)+1$
1. First, rescale vertically by a factor of $\qquad$
2. Second, reflect vertically (across the $x$ -axis) if appropriate; otherwise, leave the graph the same.
3. Third, shift vertically $\qquad$ unit(s) in the $\qquad$ direction.
4. Fourth, rescale horizontally by a factor of $\qquad$
5. Fifth, reflect horizontally (across the $y$ -axis) if appropriate; otherwise, leave the graph the same.
6. Finally, shift horizontally $\qquad$ unit(s) in the $\qquad$ direction. You did it!

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Problem 51442

Given the function $f^{\prime}(x)=-x^{4}-4 x^{3}+32 x^{2}$ , determine all intervals on which $f$ is decreasing.

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Problem 51443

Problem Situation: Gabi buys tickets to the movies. She buys 1 adult ticket for $\$ 14$ and 3 youth tickets. She pays a total of $\$ 35$ . What is the cost of each youth ticket?
Complete the equation to represent this situation. The letter $t$ represents the cost of a youth ticket.

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Problem 51444

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

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Problem 51445

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse. $f(x)=8 x-72$ $f^{-1}(x)=8 x+72$ None of these answers $f^{-1}(x)=\frac{1}{9} x+8$ $f^{-1}(x)=\frac{1}{8} x+9$ Function is not one-to-one

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Problem 51446

The Taylor series for $f(x)=\ln (x)$ at $c=3$ is $\sum_{k=0}^{\infty} c_{k}(x-3)^{k}$ . Find the first few coefficients. $\begin{array}{l} c_{0}=\square \\ c_{1}=\square \\ c_{2}=\square \\ c_{3}=\square \end{array}$

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Problem 51447

What is the slope of this line?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

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Problem 51448

(1 point) Suppose that $\frac{8 x}{(14+x)}=\sum_{n=0}^{\infty} c_{n} x^{n}$ . Find the first few coefficients. $\begin{array}{l} c_{0}= \\ c_{1}= \\ c_{2}= \\ c_{3}= \\ c_{4}= \end{array}$
Find the radius of convergence $R$ of the power series. $R=$ $\square$

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Problem 51449

(a) Let $g(x)$ be some function whose graph passes through the point $(2,8)$ . Let $h(x)=\frac{5}{4} g\left(\frac{1}{3}(x+1)\right)-2$ . Based on this information, what point do you know must be on the graph of $h$ ? (b) Let $g(x)$ be some function whose graph passes through the point $(4,6)$ . Let $h(x)=-\frac{1}{2} g(2 x-6)+7$ . Based on this information, what point do you know must be on the graph of $h$ ?

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Problem 51450

9. [-/1 Points] DETAILS MY NOTES SPRECALC8 6.4.034.
Find the exact value of the expression. $\cos \left(\tan ^{-1}\left(\frac{12}{5}\right)\right)$ $\square$

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Problem 51451

5. A teacher designed an experiment to see whether students would do better on a quiz when it was copied onto yellow paper rather than the usual white paper. She gave the same test to her first and fifth period classes, randomly selecting the class that would get the test copied onto yellow paper. The other class got the test copied onto white paper. After grading the test, she found that 25 of the 40 students who took the test on yellow paper passed the test as did 30 of the 38 students who took the test on white paper. a. Display the data in a two-way frequency table. b. Overa]l, what proportion of the students did not pass the test? Leave your answer as an unreduced fraction. c. What proportion of the students who did not pass the test took it on white paper? Leave your answer as an unreduced fraction.| d. Match each term below with the best description by writing the letter for the best description in the blank. Note there is one extra description that won't be used.
Term Description $\qquad$ subject A. color of the paper $\qquad$ treatment B. $\qquad$ control group a student one of the classes $\qquad$ C. whether or not a student passed the test lurking variable $\qquad$ response variable D. the class that got the test on white paper E. one class may do better than the other class even if both classes get the same color of paper F. none in this experiment

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Problem 51452

(1 point) Find the Maclaurin series of the function $f(x)=8 x^{3}-2 x^{2}-6 x+2$ $\begin{array}{l} \left(f(x)=\sum_{n=0}^{\infty} c_{n} x^{n}\right) \\ c_{0}= \\ c_{1}= \\ c_{2}= \\ c_{3}= \\ c_{4}=\square \end{array}$
Find the radius of convergence $R=$ $\square$ Enter INF if the radius of covergence is infinity.
Note: You can earn partial credit on this problem.

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Problem 51453

Which of the following sets of numbers could represent the three sides of a triangle?
Answer $\{13,25,40\}$ $\{10,16,25\}$ Submit Answer $\{6,18,25\}$ $\{13,22,35\}$

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Problem 51454

(2.) Using the appropriate special triangle, determine $\theta$ if $0^{\circ} \leq \theta \leq 90^{\circ}$ . a) $\sin \theta=\frac{\sqrt{3}}{2}$ c) $2 \sqrt{2} \cos \theta=2$ b) $\sqrt{3} \tan \theta=1$ d) $2 \cos \theta=\sqrt{3}$

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Problem 51455

Find the partial fraction decomposition for the rational expression. $\frac{-3 x^{2}-5 x-49}{(x-3)\left(x^{2}+4\right)}$ $\frac{4 x+7}{x^{2}+4}+\frac{7}{x-3}$ $\frac{7 x+4}{x^{2}+4}-\frac{7}{x-3}$ $\frac{4 x+8}{x^{2}+4}-\frac{7}{x-3}$ $\frac{4 x+7}{x^{2}+4}-\frac{7}{x-3}$ None of these answers

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Problem 51456

Parents wish to have $\$ 110,000$ available for a child's education. If the child is now 8 years old, how much money must be set aside at $7 \%$ compounded semiannually to meet their financial goal when the child is $18 ?$ Click the icon to view some finance formulas.
The amount that should be set aside is $\$$ $\square$ (Round up to the nearest dollar.)

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Problem 51457

5. [-/1 Points] DETAILS MY NAlmES SCALCET9 5.5.015.MI.
Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration.) $\int \frac{d x}{2 x+7}$ $\square$ Need Help? Read It Watch It Master It Submit Answer

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Problem 51458

Prob. 5 Consider these three diagrams. (a) The first diagram depicts a point $\left(p_{1}, q_{1}\right)$ lying on a circle of radius 1 centered at the point $(0,0)-$ which is to say, the unit circle. What are the coordinates of this point? $\left(p_{1}, q_{1}\right)=($ $\qquad$ $\qquad$ (b) The second diagram depicts a point $\left(p_{2}, q_{2}\right)$ lying on a circle of radius 2 centered at the point $(0,0)$ . (Effectively, we've made the previous circle twice as big.) What are the coordinates of this point? $\left(p_{2}, q_{2}\right)=($ $\qquad$ $\qquad$ (c) The third diagram depicts a point $\left(p_{3}, q_{3}\right)$ lying on a circle of radius 2 centered at the point $(-2,1)$ . (Effectively, we've shifted the previous circle 2 units left and 1 unit up.) What are the coordinates of this point? $\left(p_{3}, q_{3}\right)=(\square, \square)$

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Problem 51459

Find the volume of a circular cylinder with a radius of 10 ft and a height of 13 feet.

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Problem 51460

1. Sabina ate $\frac{1}{3}$ of an apple pie. Her friend Isabel ate $\frac{1}{4}$ of the pie. What fraction of the whole pie did they eat?
$\frac{1}{4}$

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Problem 51461

A student takes out two loans totaling $\$ 13,000$ to help pay for college expenses. One loan is at $7 \%$ simple interest, and the other is at $8 \%$ simple interest. The first-year interest is $\$ 950$ . Find the amount of the loan at $8 \%$ . None of these answers \ $630$ \ $9000$ \ $320$ \ $4000$

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Problem 51462

$9 \mid x+7$ 기 +8. $g(x)=9|x+6|-7$ $g(x)=9|x+6|+23$ $g(x)=9|x+8|+23$ $g(x)=9|x+8|-7$

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Problem 51463

An account has a rate of $2.6 \%$ . Find the effective annual yield if the interest is compounded semiannually. (1) Click the icon to view some finance formulas.
The effective annual yield is $\square$ \%. (Round to the nearest hundredth as needed.)

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Problem 51464

7. Find the volume of a cone with a radius of 3 m and a height of 10 m .

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Problem 51465

22. Sketch a function that has the following properties: $f^{\prime}(0)=0, f^{\prime}(2)=0$ $f^{\prime \prime}(x)>0$ on the interval $(1,3)$ $f^{\prime \prime}(x)<0$ on the intervals $(-2,1)$ and $(3, \infty)$ $\begin{array}{l} \lim _{x \rightarrow-\infty} f(x)=4 \\ \lim _{x \rightarrow \infty} f(x)=5 \\ \lim _{x \rightarrow-2} f(x)=-\infty \end{array}$

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Problem 51466

The center of a wind turbine is attached to the top of a 60 m tower and it has four spinning blades that are 40 m long. The turbine makes 40 revolutions (counterclockwise) every minute. We're trying to track the motion of a particular blade. The blade starts at an angle of $\frac{\pi}{4}$ with the horizontal. Find a function $H$ such that $t$ minutes after the turbine starts turning the tip of this particular blade is at a height of $H(t)$ feet. $H(t)=$ $\qquad$

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Problem 51467

Homework 7.2 Question 3 of 7 (1 point) I Question Attempt: 2 of Unlimited Salma $\checkmark 1$ $\checkmark 2$ $=3$ 4 5 6 7 Español
Freshmen GPAs First-semester GPAs for a random selection of freshmen at a large university are shown below. Estimate the true mean GPA of the freshman class with $97 \%$ confidence. Assume $\sigma=0.62$ . Use a graphing calculator and round the answers to two decimal places. Assume the population is normally distributed. \begin{tabular}{ll|l|l|l|l|l|l|l} 2.8 & 1.9 & 4 & 2.2 & 2.8 & 2.9 & 2.1 & 3 & 3.8 \\ 2.7 \\ 2.1 & 2.4 & 2 & 1.9 & 2.5 & 2 & 2.8 & 3.2 & 3 \\ 3.1 & 2.7 & 3 & 3.4 & 3.5 & 3.8 & 3.9 & 2.7 & \\ 3.8 \end{tabular} Send data to Excel $2.66^{\otimes}<\mu<3.18$
Try one last time Save For Later Submit Assignment

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Problem 51468

Find the median for the group of data items. $97,97,94,35,77,97$ 97 95.5 94 35

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Problem 51469

Find the supplement of an angle with 109 degrees.

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Problem 51470

https://www-awy.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkasNW8D8A9PVVfaYzvAnKbEZqvmttIlkfkbx0fBm18LItV2MuhXGp6DIxVkZL9gT1iQIckInala8TfY0BOXp5... Homework 7.2 Question 4 of 7 (1 point) I Question Attempt: 1 of Unlimited Salma $\checkmark 1$ $\checkmark 2$ $\times 3$ 4 5 6 7 Español
Number of Farms A random sample of the number of farms (in thousands) in various states follows. Estimate the mean number of farms per state with $99 \%$ confidence. Assume $\sigma=31$ . Round intermediate and final answers to one decimal place. Assume the population is normally distributed. \begin{tabular}{lllllllclll} 48 & 79 & 44 & 49 & 3 & 90 & 80 & 9 & 57 & 8 & 4 \\ 64 & 33 & 54 & 95 & 47 & 50 & 40 & 109 & & & \end{tabular} Send data to Excel $\square$ $<\mu<$ $\square$ $\square$ Ollo 用 Check Save For Later Submit Assignment

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Problem 51471

Practice 1.. Use $f(x)=2 x^{3}-4 x+1$ to find the following. a.. Calculate the average rate of change of $f(x)$ on the interval $[1,5]$ . Show work. c. Calculate the exact value of the derivative algebraically of $f(x)$ at $x=2$ . Show work! b.. Calculate the IROC (numerically) of $f(x)$ at $x=2$ . Show work! d. Write the equation of the line tangent to $f(x)$ at $x=2$ .

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Problem 51472

Substitute the value of a to find the equation of the given graph. $f(x)=-(x+4)^{2}+3$

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Problem 51473

1. If $\cos 40^{\circ}=a$ , what is $\sin 50^{\circ}$ in terms of $a$ ? (A) $a$ (B) $\frac{1}{a}$ (C) $90-a$ (D) $a \sqrt{2}$
2. $$ If $\theta$ is an angle such that $0<\theta<90^{\circ}$ and $\tan (\theta)=\frac{4}{5^{\prime}}$ , what is $\sec (\theta)$ ? (A) $\frac{\sqrt{41}}{4}$ (B) $\frac{4 \sqrt{41}}{41}$ (C) $\frac{\sqrt{41}}{5}$ (D) $\frac{5 \sqrt{41}}{41}$ (E) $\frac{5}{4}$
3. ${ }^{ *}$ If $\sin (2 x+7)^{\circ}=\cos (4 x-7)^{\circ}$ , what is the value of $x$ ?

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Problem 51474

Submit Assignment Practice MA111 Fall 24 BRYCE GUILLORY Question 20 - of 48 Step 1 of 1 00:39:27
Use polynomial long division to rewrite the following fraction in the form $\mathrm{q}(\mathrm{x})+\frac{\mathrm{r}(\mathrm{x})}{\mathrm{d}(\mathrm{x})}$ , where $\mathrm{d}(\mathrm{x})$ is the denominator of the original fraction, $\mathrm{q}(\mathrm{x})$ is the quotient, and $\mathrm{r}(\mathrm{x})$ is the remainder. $\frac{8 x^{4}-10 x^{3}+10 x^{2}+4 x+2}{2 x^{2}+1}$
Answer 2 Points Keypad Keyboard Shortcuts

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Problem 51475

2. $\lim _{x \rightarrow \frac{\pi}{2}}\left[\frac{\ln (\sin x)}{(\pi-2 x)^{2}}\right][2 p t s]$

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Problem 51476

What is the probability that a random point on $\overline{A B}$ will be on $\overline{C D}$ ? $\begin{array}{ccc} A & C & 6 \\ 48 & 51 & C \end{array}$

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Problem 51477

A calculator is allowed for this question. A person is standing 50 ft from a statue. The person looks up at an angle of elevation of $16^{\circ}$ when staring at the top of the statue. Then the person looks down at an angle of depression of $8^{\circ}$ when staring at the base of the statue. How tall is the statue to the nearest tenth of a foot?

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Problem 51478

Let $z(x, y)=8 x^{2}+3 y^{2}$ where $x=9 s+t$ \& $y=-4 s+6 t$ Calculate $\frac{\partial z}{\partial s} \& \frac{\partial z}{\partial t}$ by first finding $\frac{\partial x}{\partial s}, \frac{\partial y}{\partial s}, \frac{\partial x}{\partial t} \& \frac{\partial y}{\partial t}$ and using the chain rule. $\frac{\partial z}{\partial s}=$ $\square$ $\frac{\partial z}{\partial t}=$ $\square$

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Problem 51479

Part 11 of 11
For the quadratic function $f(x)=x^{2}+2 x+1$ , answer parts (a) through ( $f$ ). (Use integers or fractions for any numbers in the equation.) Is the graph concave up or concave down? Concave down Concave up (b) Find the $y$ -intercept and the $x$ -intercepts, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $x$ -intercept(s) is/are -1 . $\square$ : (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no $x$ -intercepts.
What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The y-intercept is 1. $\square$ (Type an integer or a simplified fraction.) B. There is no $y$ -intercept. (c) Use parts (a) and (b) to graph the function.
Use the graphing tool to graph the function. $\square$ (d) Find the domain and the range of the quadratic function.
The domain of $f$ is $(-\infty, \infty)$ . (Type your answer in interval notation.) The range of $f$ is $[0, \infty)$ . (Type your answer in interval notation.) (e) Determine where the quadratic function is increasing and where it is decreasing.
The function is increasing on the interval $(-1, \infty)$ . (Type your answer in interval notation.) The function is decreasing on the interval $(-\infty,-1)$ . (Type your answer in interval notation.) (f) Determine where $f(x)>0$ and where $f(x)<0$ . Select the correct choice below and fill in the answer box(es) within your choice. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) A. $f(x)>0$ on and $f(x)<0$ on $\square$ B. $f(x)<0$ on and $f(x)$ is never positive $\square$ C. $f(x)>0$ on $(-\infty,-1) \cup(-1, \infty)$ and $f(x)$ is never negative ctbook Ask my instructor

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Problem 51480

Which of the following is true regarding ANOVA?
It reaches a conclusion regarding differences among the variances of each group.
Analysis begins with the sum of squares error (SSE) as the starting point.
Equality of variances is tested using the Tukey-Kramer Procedure It uses the promciple of partitioning to subdivide the sources of variation

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Problem 51481

Prob. 5 The function $f(x)=x^{2}$ is not invertible, as it is possible for two different numbers to have the same square. (For instance, $2^{2}=4$ and $(-2)^{2}=4$ .) However, in spite of this, we still like to talk about the square root function $g(x)=\sqrt{x}$ . (a) What is $\sqrt{9}$ ? Is this the only number whose square is 9 ? (b) For which values of $x$ is it true that $\sqrt{x^{2}}=x$ ?

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Problem 51482

4 Jonah poured $\frac{4}{5}$ cup of cold water into an empty bowt. Then he mixed in 0.6 cup of hot water. What was the total amount of water in the bow?

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Problem 51483

Last year, the average number of absences in school was 8 students per day. This year, the absentee rate is down to 6 students per day. What is the percent decrease in student absences this year?

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Problem 51484

Let $z(x, y)=x y$ where $x=r \cos (9 \theta) \& y=r \sin (\theta)$ . Calculate $\frac{\partial z}{\partial r}$ \& $\frac{\partial z}{\partial \theta}$ by first finding $\frac{\partial x}{\partial r}, \frac{\partial y}{\partial r}, \frac{\partial x}{\partial \theta}$ \& $\frac{\partial y}{\partial \theta}$ and using the chain rule. Note: To produce the $\theta$ symbol, type the word "theta". $\begin{array}{l} \frac{\partial z}{\partial r}=\square \\ \frac{\partial z}{\partial \theta}=-9 r^{2} \sin (\theta) \sin (9 \theta)+r^{2} \cos (9 \theta) \cos (\theta) \end{array}$
Hint: Recall the chain rule: For $\mathrm{z}(\mathrm{x}(\mathrm{s}, \mathrm{t}), \mathrm{y}(\mathrm{s}, \mathrm{t}))$ , we have $\frac{\partial z}{\partial t}=\left(\frac{\partial z}{\partial x} \cdot \frac{\partial x}{\partial t}\right)+\left(\frac{\partial z}{\partial y} \cdot \frac{\partial y}{\partial t}\right)$

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Problem 51485

C RM, 15. Point $P$ is on the terminal arm of an angle in standard position in us Quadrant 1. The distance $r$ between $P$ and the origin is given. Determine possible coordinates for $P$ . a) $\sqrt{29}$

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Problem 51486

Prob. 6 Compute the following exactly, without using a calculator. (a) $\arcsin \left(\frac{\sqrt{3}}{2}\right)$ (b) $\arccos \left(-\frac{1}{2}\right)$ (c) $\arctan (-1)$ (d) $\arccos \left(\cos \left(\frac{\pi}{3}\right)\right)$ (e) $\arcsin \left(\sin \left(\frac{2 \pi}{3}\right)\right)$ (Be careful on this one; the answer is not $\frac{2 \pi}{3}!$ ) (f) $\arctan (0.81)$ (Okay, you can use your calculator on this one!)

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Problem 51487

Use a sum or difference formula to find the exact value of the following. $\cos \frac{3 \pi}{5} \cos \frac{7 \pi}{30}-\sin \frac{3 \pi}{5} \sin \frac{7 \pi}{30}$

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Problem 51488

Let $w(x, y, z)=\sqrt{x^{2}+y^{2}+z^{2}}$ where $x=6 r e^{t}, y=9 t e^{r} \& z=e^{r t}$ . Calculate $\frac{\partial w}{\partial r}$ \& $\frac{\partial w}{\partial t}$ by first finding $\frac{\partial x}{\partial r}, \frac{\partial y}{\partial r}, \frac{\partial z}{\partial r}, \frac{\partial x}{\partial t}, \frac{\partial y}{\partial t}$ \& $\frac{\partial z}{\partial t}$ and using the chain rule. $\begin{array}{l} \frac{\partial w}{\partial r}=\square \\ \frac{\partial w}{\partial t}=\square \end{array}$

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Problem 51489

Find the included angle between $\mathbf{u}=\left[\begin{array}{c}0 \\ 0 \\ -1\end{array}\right]$ and $\mathbf{v}=\left[\begin{array}{c}0 \\ 1 \\ 1\end{array}\right]$ in $\mathbb{R}^{3}$ . $\theta=$

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Problem 51490

[Questions 1-2] A study found that the duration of professional baseball games is uniformly distributed between 150 minutes and 250 minutes. Assume that Buffalo Bisons and Rochester Red Wings are playing tonight. A:'50 min B250 min
1. What is the probability that the duration of the tonight's game is exactly 150 minutes? A) $\frac{1}{250}$ B) $\frac{1}{150}$ C) $\frac{1}{100}$ D) 0.50 [Answer: $\qquad$ 1
2. What is the probability that the duration of the tonight's game is between 200 and 220 minutes? A) $\frac{1}{250}$ B) $\frac{1}{100}$ C) 0.20 D) $50 \%$ [Answer: $\qquad$ 1

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Problem 51491

Question 21 - of 48 Step 1 of 1 00:18:27
Two trucks leave a warehouse at the same time. One travels due east at an average speed of 62 miles per hour, and the other travels due west at an average speed of 47 miles per hour. After how many hours will the two trucks be 763 miles apart?
Answer How to enter your answer (opens in new window) 2 Points Keypad Keyboard Shortcu $\square$ hours

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Problem 51492

\text{We will be serving duck, goose, and lobster. We are planning to serve 1.25 lbs. of lobster for each person. If an average lobster weighs 3 lbs., how many lobsters will we need?}

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Problem 51493

Question 22 - of 48 Step 1 of 1 Write the following logarithmic equation as an exponential equation. Do not simplify your answer. $2 \mathrm{x}=\log _{\mathrm{c}}(\mathrm{~V})$
Answer 2 Points

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Problem 51494

5 - M3 EUREKA MATH ${ }^{2}$
1. Find the value by using the number line. Write your answer as a whole number if poss $\frac{1}{3}$ of 3 is $\qquad$ .

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Problem 51495

Find the volume of the parallelepiped determined by the vectors $\mathbf{u}=\left[\begin{array}{c}1 \\ -1 \\ 1\end{array}\right], \mathbf{v}=$ $\left[\begin{array}{c} -2 \\ -1 \\ 2 \end{array}\right], \text { and } \mathbf{w}=\left[\begin{array}{c} -2 \\ 1 \\ 2 \end{array}\right]$
Volume $=$ $\square$ cubic units

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Problem 51496

It seems there is a misunderstanding. The question provided is not a math problem but rather a meteorology-related question about thunderstorms and cold fronts. Therefore, there is no math problem to rewrite in LaTeX. Please provide a math problem if you need assistance with that.

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Problem 51497

8. Sandra's volleyball team has a total of 20 uniforms. $20 \%$ are medium-sized uniforms. How many uniforms are medium-sized? $\begin{aligned} 20 & =\frac{9 \cdot 9}{100} \cdot 20 \\ x & =\frac{400}{100} \\ x & =4 \text { medium-sized uniforms } \end{aligned}$

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Problem 51498

8. A contestant on a game show spins a wheel that is located ona plane perpendicular to the floor. He grabs the only red peg ons the circumference of the wheel, which is 1.5 m above the floor, and pushes it downward. The red peg reaches a minimum height of 0.25 m above the floor and a maximum height of 2.75 m above the floor. Sketch two cycles of the graph that represents the height of the red peg above the floor, as a function of the total distance it moved. Then determine the equation of the sine function that describes the graph.

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Problem 51499

$\sqrt{\left(1-\cos \left(\frac{t}{4}\right)\right)^{2}+\left(\sin \left(\frac{t}{4}\right)\right)^{2}}$

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Problem 51500

Find $-1-4 \frac{2}{3}$
Model the expression on the number line. $\square$ $\vdash$ $\rightarrow$ 命

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Math

Problem 51401

Which group contains two elements that exhibit +2 and +4 oxidation states?Select one: a. Group 1A b. Group 3A c. Group 4A d. Group 5A e. Group 7A

Problem 51402

Find a formula for the inverse of the function f[−1](Q)=□f(x)=ln⁡(5x+2).f^{[-1]}(Q)=\square \quad f(x)=\ln (5 x+2) .f[−1](Q)=□f(x)=ln(5x+2).

Problem 51403

f(x)={2x+1,x≤−2x2−7,x>−2f(x)=\left\{\begin{array}{ll} 2 x+1, & x \leq-2 \\ x^{2}-7, & x>-2 \end{array}\right.f(x)={2x+1,x2−7,​x≤−2x>−2​ increasing

Problem 51404

Interactive Practice: Add with Negative NumbersFind −323+(−123)-3 \frac{2}{3}+\left(-1 \frac{2}{3}\right)−332​+(−132​)Model the expression on the number line.

Problem 51405

Problem 51406

Problem 51407

Find the derivatives with respect to x x x for the following expressions:1. y=(x−1)(x−2)(x−3)(x−4) y = \sqrt{\frac{(x-1)(x-2)}{(x-3)(x-4)}} y=(x−3)(x−4)(x−1)(x−2)​​2. y=xsin⁡x y = x^{\sin x} y=xsinx

Problem 51408

Problem 51409

Problem 51410

Find −3.75+1.5-3.75+1.5−3.75+1.5What is the sum? −3.75+1.5=-3.75+1.5=−3.75+1.5=

Problem 51411

Problem 51412

Problem 51413

7. This exercise is about the simultaneous equations x+3y=3x+y=5\begin{array}{c} x+3 y=3 \\ x+y=5 \end{array}x+3y=3x+y=5​ a) Graph the two equations on one pair of axes.

Problem 51414

Problem 51415

The spinner at the right is divided into eight equal parts. Find the theoretical probability of landing on the given section(s) of the spinner.P(even) P(P(P( even )=□)=\square)=□ (Simplify your answer.)

Problem 51416

Find the angle θ\thetaθ between the vectors v=2i+k,w=j−3k\mathbf{v}=2 \mathbf{i}+\mathbf{k}, \mathbf{w}=\mathbf{j}-3 \mathbf{k}v=2i+k,w=j−3k. θ=\theta=θ= □\square□ degreesPreview My Answers Submit Answers Your score was recorded. You have attempted this problem 1 time.

Problem 51417

Problem 51418

Moshliw weok (1) 1.52×2.51.52 \times 2.51.52×2.5

Problem 51419

Find the angle θ\thetaθ between the vectors v=4i−j+k,w=2i+3j+5k\mathbf{v}=4 \mathbf{i}-\mathbf{j}+\mathbf{k}, \mathbf{w}=2 \mathbf{i}+3 \mathbf{j}+5 \mathbf{k}v=4i−j+k,w=2i+3j+5k. θ=\theta=θ= □\square□ degrees

Problem 51420

Problem 51421

14. [0/1 Points]DETAILS MY NOTES SPRECALC8 6.2.067. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER elevation is found to be 36∘36^{\circ}36∘. Estimate the height of the mountain (in ft ). (Round your answer to the nearest foot.) 4477 xftx \mathrm{ft}xftNeed Help? Read It Watch it

Problem 51422

1. Find the product of the following -4 (9)Type a responseShow Your Work

Problem 51423

Problem 51424

Find the distance between P and Q . P(−1,1),Q(−6,−11)P(-1,1), Q(-6,-11)P(−1,1),Q(−6,−11) 26 14 169 13 None of these answers

Problem 51425

Find sin⁡θ\sin \thetasinθ, where θ\thetaθ is the angle shown. Give an exact value, not a decimal approximation. sin⁡θ=\sin \theta=sinθ= □\square□

Problem 51426

Identify whether the following equation is an identity. Give your answer as a yes or a no. a+(1+1a−1)=a×(1+1a−1)a+\left(1+\frac{1}{a-1}\right)=a \times\left(1+\frac{1}{a-1}\right)a+(1+a−11​)=a×(1+a−11​)

Problem 51427

omit Assignment Practice MA111 Fall 24Question 12 - of 48 Step 1 of 1Solve the following formula for the indicated variable. v2=v02+2ax; solve for a\mathrm{v}^{2}=\mathrm{v}_{0}^{2}+2 \mathrm{ax} ; \text { solve for } av2=v02​+2ax; solve for aAnswer 2 Points

Problem 51428

Problem 51429

x=−82(−4)x=\frac{-8}{2(-4)}x=2(−4)−8​

Problem 51430

Choose ALL answers that describe the polygon DEFGD E F GDEFG if DE=EF=FG=GDD E=E F=F G=G DDE=EF=FG=GD.Answer Attempt 2 out of 3 Parallelogram Quadrilateral Rectangle Rhombus Square Trapezoid Submit Answer

Problem 51431

1) Tarik sells cups of lemonade. Today his expenses are −$6.80-\$ 6.80−$6.80 and his sales are $4.40\$ 4.40$4.40. Does Tarik have more or less money than he did at the start of the day?Find the sum. −6.80+4.40=-6.80+4.40=−6.80+4.40= □\square□

Problem 51432

2. Find the product of the foliowing expression (−3)(7)(−2)(-3)(7)(-2)(−3)(7)(−2)Type a response Show Your Work

Problem 51433

Problem 51434

Graph the solution set of the following system of inequalities. 3x+6y≤63x+y≤6\begin{array}{r} 3 x+6 y \leq 6 \\ 3 x+y \leq 6 \end{array}3x+6y≤63x+y≤6​

Problem 51435

Triangle DEFD E FDEF is formed by connecting the midpoints of the side of triangle ABCA B CABC. The lengths of the sides of triangle ABCA B CABC are shown. Find the perimeter of triangle DEFD E FDEF. Figures not necessarily drawn to scale.

Problem 51436

Problem 51437

You may use a graphing calculator when answering these questions.83. Multiple Choice A sinusoid with amplitude 4 has a minimum value of 5 . Its maximum value is (A) 7. (B) 9 . (C) 11 . (D) 13 . (E) 15 .

Problem 51438

Problem 51439

Triangle UVWU V WUVW is formed by connecting the midpoints of the side of triangle RST. The lengths of the sides of triangle RSTR S TRST are shown. What is the length of WV‾\overline{W V}WV ? Figures not necessarily drawn to scale.

Problem 51440

(1 point) Find the following expressions using the graph below of vectors u,v\mathbf{u}, \mathbf{v}u,v, and w\mathbf{w}w.1. u+v=\mathbf{u}+\mathbf{v}=u+v= i+4j2. 2u+w=2 u+w=2u+w= □\square□3. 3v−6w=3 \mathbf{v}-6 \mathbf{w}=3v−6w= □\square□4. ∣w∣=|w|=∣w∣= □\square□

Problem 51441

Problem 51442

Given the function f′(x)=−x4−4x3+32x2f^{\prime}(x)=-x^{4}-4 x^{3}+32 x^{2}f′(x)=−x4−4x3+32x2, determine all intervals on which fff is decreasing.

Problem 51443

Problem Situation: Gabi buys tickets to the movies. She buys 1 adult ticket for $14\$ 14$14 and 3 youth tickets. She pays a total of $35\$ 35$35. What is the cost of each youth ticket?Complete the equation to represent this situation. The letter ttt represents the cost of a youth ticket.

Problem 51444

Problem 51445

Problem 51446

Problem 51447

What is the slope of this line?Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Problem 51448

Problem 51449

Problem 51450

Which group contains two elements that exhibit +2 and +4 oxidation states?
Select one: a. Group 1A b. Group 3A c. Group 4A d. Group 5A e. Group 7A

Find a formula for the inverse of the function $f^{[-1]}(Q)=\square \quad f(x)=\ln (5 x+2) .$

$f(x)=\left\{\begin{array}{ll} 2 x+1, & x \leq-2 \\ x^{2}-7, & x>-2 \end{array}\right.$ increasing

Interactive Practice: Add with Negative Numbers
Find $-3 \frac{2}{3}+\left(-1 \frac{2}{3}\right)$
Model the expression on the number line.

Find the derivatives with respect to $x$ for the following expressions:
1. $y = \sqrt{\frac{(x-1)(x-2)}{(x-3)(x-4)}}$
2. $y = x^{\sin x}$

Find $-3.75+1.5$
What is the sum? $-3.75+1.5=$

7. This exercise is about the simultaneous equations $\begin{array}{c} x+3 y=3 \\ x+y=5 \end{array}$ a) Graph the two equations on one pair of axes.

The spinner at the right is divided into eight equal parts. Find the theoretical probability of landing on the given section(s) of the spinner.
P(even) $P($ even $)=\square$ (Simplify your answer.)

Find the angle $\theta$ between the vectors $\mathbf{v}=2 \mathbf{i}+\mathbf{k}, \mathbf{w}=\mathbf{j}-3 \mathbf{k}$ . $\theta=$ $\square$ degrees
Preview My Answers Submit Answers Your score was recorded. You have attempted this problem 1 time.

Moshliw weok (1) $1.52 \times 2.5$

Find the angle $\theta$ between the vectors $\mathbf{v}=4 \mathbf{i}-\mathbf{j}+\mathbf{k}, \mathbf{w}=2 \mathbf{i}+3 \mathbf{j}+5 \mathbf{k}$ . $\theta=$ $\square$ degrees

14. [0/1 Points]
DETAILS MY NOTES SPRECALC8 6.2.067. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER elevation is found to be $36^{\circ}$ . Estimate the height of the mountain (in ft ). (Round your answer to the nearest foot.) 4477 $x \mathrm{ft}$
Need Help? Read It Watch it

1. Find the product of the following -4 (9)
Type a response
Show Your Work

Find the distance between P and Q . $P(-1,1), Q(-6,-11)$ 26 14 169 13 None of these answers

Find $\sin \theta$ , where $\theta$ is the angle shown. Give an exact value, not a decimal approximation. $\sin \theta=$ $\square$

Identify whether the following equation is an identity. Give your answer as a yes or a no. $a+\left(1+\frac{1}{a-1}\right)=a \times\left(1+\frac{1}{a-1}\right)$

omit Assignment Practice MA111 Fall 24
Question 12 - of 48 Step 1 of 1
Solve the following formula for the indicated variable. $\mathrm{v}^{2}=\mathrm{v}_{0}^{2}+2 \mathrm{ax} ; \text { solve for } a$
Answer 2 Points

$x=\frac{-8}{2(-4)}$

Choose ALL answers that describe the polygon $D E F G$ if $D E=E F=F G=G D$ .
Answer Attempt 2 out of 3 Parallelogram Quadrilateral Rectangle Rhombus Square Trapezoid Submit Answer

1) Tarik sells cups of lemonade. Today his expenses are $-\$ 6.80$ and his sales are $\$ 4.40$ . Does Tarik have more or less money than he did at the start of the day?
Find the sum. $-6.80+4.40=$ $\square$

2. Find the product of the foliowing expression $(-3)(7)(-2)$
Type a response Show Your Work

Graph the solution set of the following system of inequalities. $\begin{array}{r} 3 x+6 y \leq 6 \\ 3 x+y \leq 6 \end{array}$

Triangle $D E F$ is formed by connecting the midpoints of the side of triangle $A B C$ . The lengths of the sides of triangle $A B C$ are shown. Find the perimeter of triangle $D E F$ . Figures not necessarily drawn to scale.

You may use a graphing calculator when answering these questions.
83. Multiple Choice A sinusoid with amplitude 4 has a minimum value of 5 . Its maximum value is (A) 7. (B) 9 . (C) 11 . (D) 13 . (E) 15 .

Triangle $U V W$ is formed by connecting the midpoints of the side of triangle RST. The lengths of the sides of triangle $R S T$ are shown. What is the length of $\overline{W V}$ ? Figures not necessarily drawn to scale.

(1 point) Find the following expressions using the graph below of vectors $\mathbf{u}, \mathbf{v}$ , and $\mathbf{w}$ .
1. $\mathbf{u}+\mathbf{v}=$ i+4j
2. $2 u+w=$ $\square$
3. $3 \mathbf{v}-6 \mathbf{w}=$ $\square$
4. $|w|=$ $\square$

Given the function $f^{\prime}(x)=-x^{4}-4 x^{3}+32 x^{2}$ , determine all intervals on which $f$ is decreasing.

Problem Situation: Gabi buys tickets to the movies. She buys 1 adult ticket for $\$ 14$ and 3 youth tickets. She pays a total of $\$ 35$ . What is the cost of each youth ticket?
Complete the equation to represent this situation. The letter $t$ represents the cost of a youth ticket.

What is the slope of this line?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

9. [-/1 Points] DETAILS MY NOTES SPRECALC8 6.4.034.
Find the exact value of the expression. $\cos \left(\tan ^{-1}\left(\frac{12}{5}\right)\right)$ $\square$

Which of the following sets of numbers could represent the three sides of a triangle?
Answer $\{13,25,40\}$ $\{10,16,25\}$ Submit Answer $\{6,18,25\}$ $\{13,22,35\}$

5. [-/1 Points] DETAILS MY NAlmES SCALCET9 5.5.015.MI.
Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration.) $\int \frac{d x}{2 x+7}$ $\square$ Need Help? Read It Watch It Master It Submit Answer

1. Sabina ate $\frac{1}{3}$ of an apple pie. Her friend Isabel ate $\frac{1}{4}$ of the pie. What fraction of the whole pie did they eat?
$\frac{1}{4}$

$9 \mid x+7$ 기 +8. $g(x)=9|x+6|-7$ $g(x)=9|x+6|+23$ $g(x)=9|x+8|+23$ $g(x)=9|x+8|-7$

An account has a rate of $2.6 \%$ . Find the effective annual yield if the interest is compounded semiannually. (1) Click the icon to view some finance formulas.
The effective annual yield is $\square$ \%. (Round to the nearest hundredth as needed.)

Find the median for the group of data items. $97,97,94,35,77,97$ 97 95.5 94 35

Substitute the value of a to find the equation of the given graph. $f(x)=-(x+4)^{2}+3$