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Problem 22101

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

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Problem 22102

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

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Problem 22103

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

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Problem 22104

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

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Problem 22105

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

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Problem 22106

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

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Problem 22107

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

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Problem 22108

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

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Problem 22109

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

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Problem 22110

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

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Problem 22111

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

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Problem 22112

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

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Problem 22113

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

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Problem 22114

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

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Problem 22115

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

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Problem 22116

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

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Problem 22117

$8 \cdot \square=1$ $\frac{1}{8} \cdot 8=$ $\square$ $\frac{5}{8} \cdot 8=$ $\square$ $8 \cdot \square=3$

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Problem 22118

$\sqrt[5]{1,265}$

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Problem 22119

$\begin{array}{r}7 \\ \times 4 \\ \hline\end{array}$

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Problem 22120

Tue Dec 3 a cdn.assess.prod.mheducation.com
This question has two parts. First, answer Part A. Then, answer Part B. Part A Choose the correct answer. A sandwich shop uses 0.14 pound of tomato on each sandwich. How much tomato will the shop need sandwiches? Look at the decimal grids. Which represents the problem? A) $\square$ B) $\square$ C) \begin{tabular}{|l|l|l|l|} \hline -I & & & \\ \hline-1 & & & \\ \hline \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline \end{tabular}
Part B Enter the answer. How much tomato will the shop need to make the 6 sandwiches?. pound(s) of tomato

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Problem 22121

3. Kyra has a rectangular vegetable garden that measures 12 feet by 18 feet. She wants to reduce the area of her garden. She closes the fence further in so that the new garden measures 12 feet by 9 feet. How does the area of the new garden compare to the area of the old garden? (Find the area of both the old \& new gardens.) (a) The new area will be one-half as large. (b) The new area will be two-thirds as large. (c) The new area will be one-fourth as large. (d) The new area will be three-fourths as large.
4. Which of the following is equal to $\frac{11}{12}$ ? (a) 0.916 (b) $0.91 \overline{6}$ (c) $0 . \overline{916}$ (d) $1 . \overline{09}$

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Problem 22122

1. On a cold day, Stackhouse measured the outside temperature and discovered it was 13 degrees Fahrenheit. Each hour after that, it was 3 degrees colder than the previous hour's temperature. At this rate, how many hours would it take for the temperature to reach -17 degrees Fahrenheit? (a) 4 hours (b) 9 hours (c) 10 hours (d) 30 hours

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Problem 22123

A student council has 15 members, including Yuko, Luigi, and Justip a) The staff advisor will select three members at random to be treasurer, secretary, and liaison to the principal. Determine the probability that the staff advisor will select Yuko to be treasurer, Luigi to be secretary, and Justin to be liaison.

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Problem 22124

The rate of formation of $\mathrm{NO}_{2}(\mathrm{~g})$ in the reaction $2 \mathrm{~N}_{2} \mathrm{O}_{5}(\mathrm{~g}) \rightarrow 4 \mathrm{NO}_{2}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g})$ is $5.78\left(\mathrm{~mol} \mathrm{NO}_{2}\right) / \mathrm{L} / \mathrm{s}$ . What is the rate at which $\mathrm{N}_{2} \mathrm{O}_{5}$ decomposes?
1. $0.723\left(\mathrm{~mol} \mathrm{~N}_{2} \mathrm{O}_{5}\right) / \mathrm{L} / \mathrm{s}$
2. $5.78\left(\mathrm{~mol} \mathrm{~N}_{2} \mathrm{O}_{5}\right) / \mathrm{L} / \mathrm{s}$
3. $1.45\left(\mathrm{~mol} \mathrm{~N}_{2} \mathrm{O}_{5}\right) / \mathrm{L} / \mathrm{s}$
4. $11.6\left(\mathrm{~mol} \mathrm{~N}_{2} \mathrm{O}_{5}\right) / \mathrm{L} / \mathrm{s}$
5. $2.89\left(\mathrm{~mol} \mathrm{~N}_{2} \mathrm{O}_{5}\right) / \mathrm{L} / \mathrm{s}$

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Problem 22125

Find the value of $f(9)$ .
Answer Attempt 2 out of 2 $\square$ Submit Answer

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Problem 22126

Exponents and Polynomials Polynomial long division: Problem type 1
Divide. $\left(6 x^{2}+24 x+18\right) \div(2 x+6)$
Your answer should give the quotient and the remainder.
Quotient: $\square$
Remainder: $\square$

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Problem 22127

3. (15 pts) Given is that $A=38^{\circ}$ and $b=19 \mathrm{~cm}$ and $c=22 \mathrm{~cm}$ . Solve the triangle $A B C$ . Round measures to 1 decimal place if necessary.

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Problem 22128

2. Write $\frac{1}{2}$ as a percent?

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Problem 22129

If $f(x)=\left\{\begin{array}{ll}3 x-4 & \text { if }-3 \leq x \leq 3 \\ x^{3}-3 & \text { if } 3<x \leq 6\end{array}\right.$ , find: (a) $f(0)$ , (b) $f(1)$ , (c) $f(3)$ , and $(d) f(6)$ .

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Problem 22130

Evaluate $\int_{-1}^{1} e^{9 x}+15 x^{2}-7 d x$ $\square$

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Problem 22131

$\text{Given the table of values:}$ $\begin{array}{|c|c|} \hline X & Y \\ \hline -4 & 6 \\ \hline 0 & 4 \\ \hline 4 & 2 \\ \hline 8 & 0 \\ \hline 12 & -2 \\ \hline \end{array}$ $\text{Find the slope of the line that passes through these points.}$

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Problem 22132

- Definite Integrals Course Packet on
Evaluate $\int_{1}^{9} \frac{3 t-7}{\sqrt{t}} d t$ $\square$

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Problem 22133

A chemist conducts an experiment in which 2.00 L of hydrogen gas is collected over water at 1.00 atm and 298.15 K .
The phrase "over water" means that the gas was collected by bubbling it into an inverted bottle filled with water, which is sitting in a water bath. The gas is trapped in the bottle, displacing the water into the water bath. However, the gas collected is now saturated with water vapor. The partial pressure of water vapor at 298.15 K is 0.0300 atm .
Using Dalton's Law, calculate the pressure of the hydrogen gas in atm.

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Problem 22134

Math 110 Course Resources - Definite Integrals Course Packet on the Fundamental Theorem of Calculus
The marginal cost function associated with producing $x$ widgets is given by $C^{\prime}(x)=-0.2 x+75$ the day. $\square$ dollars Submit Answer Home My Assignments Request Extension

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Problem 22135

$192=3 x^{3}$

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Problem 22136

\begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Coins Collected } \\ \hline Sam & 257 \\ \hline Philip & 510 \\ \hline Rebecca & 153 \\ \hline \end{tabular}
How many coins would Sam need to collect to be equal to Philip?

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Problem 22137

$a_{n}=10 \cdot(2 / 5)^{n-1}$
5. $\left\{-18,27,-\frac{81}{2}, \frac{243}{4}, \ldots\right\} ; a_{9}$ $\left\{\frac{1}{40},-\frac{1}{10}, \frac{2}{5},-\frac{8}{5}, \ldots\right\} ; a_{11}$
7. $\left\{100,60,36, \frac{108}{5} \ldots\right\} ; a_{8}$

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Problem 22138

5 Langley Elementary has 873 students. Roberts Elementary has 125 fewer students. How many students attend Roberts Elementary?

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Problem 22139

Solve for $x$ : $\begin{array}{l} 4^{2 x-3}=7^{10 x-9} \\ x=\square \end{array}$ Calculator

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Problem 22140

$D E F G$ is a rectangle. $D F=5 x-3$ and $E G=x+5$ . Find the value of $x$ and the length of each diagonal. HINT: Sketch the rectangle DEFG and draw DF and EG. Select one: a. $\quad x=1, D F=6, E G=6$ b. $x=2, D F=7, E G=12$ c. $x=2, D F=6, E G=6$ d. $\quad x=2, D F=7, E G=7$

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Problem 22141

Find $f^{\prime}(x)$ if $f(x)=\log _{10}\left(\frac{x^{3}-9}{x^{3}-7}\right)$

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Problem 22142

Solve the given linear programming problem. Maximize $z=5 x+5 y$ subject to $x \geq 0, y \geq 0, x+y \geq 1,2 x+3 y \leq 12,3 x+2 y \leq 12$
What is the solution? The maximum value of $z$ is $z=$ $\square$ , and it occurs at the point $(x, y)=$ $\square$ . (Type exact answers. Type integers or simplified fractions.)

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Problem 22143

Differentiate $f(x)=\left(x^{4}-3 x\right)^{59}$ . $f^{\prime}(x)=$

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Problem 22144

1. (I) By how much does the gravitational potential energy of a $58-\mathrm{kg}$ pole vaulter change if her center of mass rises 4.0 m during the jump?

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Problem 22145

9. Evaluate the triple integral $\iiint_{S} 4 x^{2}+4 y^{2} d V$ where $S$ is the solid that lies in the first octant space $x \geq 0$ and $y \geq 0$ below paraboloid $z=-x^{2}-y^{2}+1$ a above plane $z=0$ .

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Problem 22146

Find $f(a+5)$ . $\begin{array}{c} f(x)=x^{2}+5 \\ f(a+5)=\square \end{array}$ Tutorial
Additional Materials $\square$ eBook

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Problem 22147

Solve the system by back substitution $\begin{array}{l} \left\{\begin{array}{r} 5 x-3 y+3 z=28 \\ 2 y-3 z=-3 \\ 4 z=4 \end{array}\right. \\ x=\square \\ y=\square \\ z=\square \end{array}$

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Problem 22148

$12+x \leq 2 x-8$

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Problem 22149

1. CALCULATE: Finding the Mean and Median (3 points)
For each set of numbers, find the mean and median. \begin{tabular}{|l|l|l|} \hline Set 1: $\{1,11,21,31,41,51,61\}$ & Mean = & Median = \\ \hline Set 2: $\{28,29,30,31,32,33,34\}$ & Mean = & Median = \\ \hline Set 3: $\{0,31,31,31,31,31,62\}$ & Mean = & Median = \\ \hline \end{tabular}

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Problem 22150

You deposit $\$ 5000$ in a savings account that has a rate of $2 \%$ . The interest is compounded quarterly.
How much money will you have after 10 years? $\$$ $\square$ (Simplity your answer. Round to the nearest cent as needed.)

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Problem 22151

The diameter of a human hair is $9 \cdot 10^{-5}$ meters. The diameter of a spider's silk is $3 \cdot 10^{-6}$ meters.
How much greater is the diameter of a human hair than the diameter of a spider's silk? Write your answer in scientific notation. $\square$ meters

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Problem 22152

FIND DAMEIER Of crecle?

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Problem 22153

3. Calcula el área de cada cuadrado. Después contesta.

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Problem 22154

A variable is normally distributed with mean 20 and standard deviation 3 . Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed. a) Find the area to the left of 20. $\square$ b) Find the area to the left of 16. $\square$ c) Find the area to the right of 17. $\square$ d) Find the area to the right of 26 . $\square$ e) Find the area between 16 and 29. $\square$

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Problem 22155

1-4. "Find $f(3)$ " means to find the output of function $f(x)$ for an input of $x=3$ . For the function $f(x)=\frac{1}{x-2}$ , find each of the following Homework Help a. Find $f(4)$ . (This means find the output of the function when $x=4$ .) b. Find $x$ when $f(x)=1$ . (This means find the input that gives an output of 1.)

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Problem 22156

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 22157

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 22158

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 22159

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

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Problem 22160

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 22161

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 22162

Moshliw weok (1) $1.52 \times 2.5$

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Problem 22163

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 22164

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 22165

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

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Problem 22166

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 22167

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 22168

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 22169

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 22170

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 22171

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

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Problem 22172

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 22173

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 22174

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 22175

(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 22176

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 22177

(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 22178

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 22179

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 22180

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 22181

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

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Problem 22182

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 22183

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 22184

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 22185

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

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Problem 22186

Find the supplement of an angle with 109 degrees.

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Problem 22187

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 22188

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 22189

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 22190

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 22191

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 22192

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 22193

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 22194

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 22195

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 22196

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 22197

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 22198

\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 22199

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 22200

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 22101

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

Problem 22102

5. A hot air balloon is at an altitude of 10015100 \frac{1}{5}10051​ yards. The balloon's altitude decreases by 104510 \frac{4}{5}1054​ yards every minute. Determine the number of minutes it will take the balloon to reach an altitude of 57 yards. (Example 2)

Problem 22103

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

Problem 22104

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

Problem 22105

Problem 22106

2. Maria made strawberry jam. She filled 12\frac{1}{2}21​ of a jar with the first batch she made. The next batch filled 23\frac{2}{3}32​ of another jar. How much strawberry jam did Maria make altogether? 12\frac{1}{2}21​

Problem 22107

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

Problem 22108

evaluate: lim⁡x→1+−4x+12x2−4x+3\lim _{x \rightarrow 1^{+}} \frac{-4 x+12}{x^{2}-4 x+3}x→1+lim​x2−4x+3−4x+12​

Problem 22109

Find the quotient. 518÷26=\frac{5}{18} \div \frac{2}{6}=185​÷62​=

Problem 22110

Problem 22111

Problem 22112

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

Problem 22113

Problem 22114

Problem 22115

Problem 22116

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

Problem 22117

8⋅□=18 \cdot \square=18⋅□=1 18⋅8=\frac{1}{8} \cdot 8=81​⋅8= □\square□ 58⋅8=\frac{5}{8} \cdot 8=85​⋅8= □\square□ 8⋅□=38 \cdot \square=38⋅□=3

Problem 22118

1,2655\sqrt[5]{1,265}51,265​

Problem 22119

7×4\begin{array}{r}7 \\ \times 4 \\ \hline\end{array}7×4​​

Problem 22120

Problem 22121

Problem 22122

Problem 22123

Problem 22124

Problem 22125

Find the value of f(9)f(9)f(9).Answer Attempt 2 out of 2 □\square□ Submit Answer

Problem 22126

Exponents and Polynomials Polynomial long division: Problem type 1Divide. (6x2+24x+18)÷(2x+6)\left(6 x^{2}+24 x+18\right) \div(2 x+6)(6x2+24x+18)÷(2x+6)Your answer should give the quotient and the remainder.Quotient: □\square□Remainder: □\square□

Problem 22127

3. (15 pts) Given is that A=38∘A=38^{\circ}A=38∘ and b=19 cmb=19 \mathrm{~cm}b=19 cm and c=22 cmc=22 \mathrm{~cm}c=22 cm. Solve the triangle ABCA B CABC. Round measures to 1 decimal place if necessary.

Problem 22128

2. Write 12\frac{1}{2}21​ as a percent?

Problem 22129

Problem 22130

Evaluate ∫−11e9x+15x2−7dx\int_{-1}^{1} e^{9 x}+15 x^{2}-7 d x∫−11​e9x+15x2−7dx □\square□

Problem 22131

Problem 22132

- Definite Integrals Course Packet onEvaluate ∫193t−7tdt\int_{1}^{9} \frac{3 t-7}{\sqrt{t}} d t∫19​t​3t−7​dt □\square□

Problem 22133

Problem 22134

Problem 22135

192=3x3192=3 x^{3}192=3x3

Problem 22136

\begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Coins Collected } \\ \hline Sam & 257 \\ \hline Philip & 510 \\ \hline Rebecca & 153 \\ \hline \end{tabular}How many coins would Sam need to collect to be equal to Philip?

Problem 22137

Problem 22138

5 Langley Elementary has 873 students. Roberts Elementary has 125 fewer students. How many students attend Roberts Elementary?

Problem 22139

Solve for xxx : 42x−3=710x−9x=□\begin{array}{l} 4^{2 x-3}=7^{10 x-9} \\ x=\square \end{array}42x−3=710x−9x=□​ Calculator

Problem 22140

Problem 22141

Find f′(x)f^{\prime}(x)f′(x) if f(x)=log⁡10(x3−9x3−7)f(x)=\log _{10}\left(\frac{x^{3}-9}{x^{3}-7}\right)f(x)=log10​(x3−7x3−9​)

Problem 22142

Problem 22143

Differentiate f(x)=(x4−3x)59f(x)=\left(x^{4}-3 x\right)^{59}f(x)=(x4−3x)59. f′(x)=f^{\prime}(x)=f′(x)=

Problem 22144

1. (I) By how much does the gravitational potential energy of a 58−kg58-\mathrm{kg}58−kg pole vaulter change if her center of mass rises 4.0 m during the jump?

Problem 22145

9. Evaluate the triple integral ∭S4x2+4y2dV\iiint_{S} 4 x^{2}+4 y^{2} d V∭S​4x2+4y2dV where SSS is the solid that lies in the first octant space x≥0x \geq 0x≥0 and y≥0y \geq 0y≥0 below paraboloid z=−x2−y2+1z=-x^{2}-y^{2}+1z=−x2−y2+1 a above plane z=0z=0z=0.

Problem 22146

Find f(a+5)f(a+5)f(a+5). f(x)=x2+5f(a+5)=□\begin{array}{c} f(x)=x^{2}+5 \\ f(a+5)=\square \end{array}f(x)=x2+5f(a+5)=□​ TutorialAdditional Materials □\square□ eBook

Problem 22147

Solve the system by back substitution {5x−3y+3z=282y−3z=−34z=4x=□y=□z=□\begin{array}{l} \left\{\begin{array}{r} 5 x-3 y+3 z=28 \\ 2 y-3 z=-3 \\ 4 z=4 \end{array}\right. \\ x=\square \\ y=\square \\ z=\square \end{array}⎩⎨⎧​5x−3y+3z=282y−3z=−34z=4​x=□y=□z=□​

Problem 22148

12+x≤2x−812+x \leq 2 x-812+x≤2x−8

Problem 22149

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

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

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

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

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

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

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

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

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

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

$8 \cdot \square=1$ $\frac{1}{8} \cdot 8=$ $\square$ $\frac{5}{8} \cdot 8=$ $\square$ $8 \cdot \square=3$

$\sqrt[5]{1,265}$

$\begin{array}{r}7 \\ \times 4 \\ \hline\end{array}$

Find the value of $f(9)$ .
Answer Attempt 2 out of 2 $\square$ Submit Answer

Exponents and Polynomials Polynomial long division: Problem type 1
Divide. $\left(6 x^{2}+24 x+18\right) \div(2 x+6)$
Your answer should give the quotient and the remainder.
Quotient: $\square$
Remainder: $\square$

3. (15 pts) Given is that $A=38^{\circ}$ and $b=19 \mathrm{~cm}$ and $c=22 \mathrm{~cm}$ . Solve the triangle $A B C$ . Round measures to 1 decimal place if necessary.

2. Write $\frac{1}{2}$ as a percent?

Evaluate $\int_{-1}^{1} e^{9 x}+15 x^{2}-7 d x$ $\square$

- Definite Integrals Course Packet on
Evaluate $\int_{1}^{9} \frac{3 t-7}{\sqrt{t}} d t$ $\square$

$192=3 x^{3}$

\begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Coins Collected } \\ \hline Sam & 257 \\ \hline Philip & 510 \\ \hline Rebecca & 153 \\ \hline \end{tabular}
How many coins would Sam need to collect to be equal to Philip?

Solve for $x$ : $\begin{array}{l} 4^{2 x-3}=7^{10 x-9} \\ x=\square \end{array}$ Calculator

Find $f^{\prime}(x)$ if $f(x)=\log _{10}\left(\frac{x^{3}-9}{x^{3}-7}\right)$

Differentiate $f(x)=\left(x^{4}-3 x\right)^{59}$ . $f^{\prime}(x)=$

1. (I) By how much does the gravitational potential energy of a $58-\mathrm{kg}$ pole vaulter change if her center of mass rises 4.0 m during the jump?

9. Evaluate the triple integral $\iiint_{S} 4 x^{2}+4 y^{2} d V$ where $S$ is the solid that lies in the first octant space $x \geq 0$ and $y \geq 0$ below paraboloid $z=-x^{2}-y^{2}+1$ a above plane $z=0$ .

Find $f(a+5)$ . $\begin{array}{c} f(x)=x^{2}+5 \\ f(a+5)=\square \end{array}$ Tutorial
Additional Materials $\square$ eBook

Solve the system by back substitution $\begin{array}{l} \left\{\begin{array}{r} 5 x-3 y+3 z=28 \\ 2 y-3 z=-3 \\ 4 z=4 \end{array}\right. \\ x=\square \\ y=\square \\ z=\square \end{array}$

$12+x \leq 2 x-8$

You deposit $\$ 5000$ in a savings account that has a rate of $2 \%$ . The interest is compounded quarterly.
How much money will you have after 10 years? $\$$ $\square$ (Simplity your answer. Round to the nearest cent as needed.)

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? $-3.75+1.5=$

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

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

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

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.

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.