Browse Expression problems Studdy Solved!

Problem 2201

$\int\left(-5 x^{5}+3\right) d x$

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Problem 2202

A poll reported that $70.1 \%$ of adults in a certain country believe that organic produce is better for health than conventionally grown varieties. Assume the sample size was 1000 and that the conditions for using the CLT are met. Complete parts (a) through (d) below. a. Find and interpret a $95 \%$ confidence interval for the proportion of adults in the country who believe organic produce is better for health.
The $95 \%$ confidence interval for the proportion of adults in the country who believe organic produce is better for health is ( $0.673,0.729$ ). (Round to three decimal places as needed.) Interpret this interval. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals rounded to three decimal places as needed.) A. We are $\square$ \% confident that every sample proportion of adults in the country who believe organic produce is better for health is between $\square$ and $\square$ I. B. There is a $\square$ \% chance that the sample proportion of adults in the country who believe organic produce is better for health is between $\square$ and $\square$ C. We are $95 \%$ confident that the population proportion of adults in the country who believe organic produce is better for health is between 0.673 and 0.729 . D. There is a $\square$ \% chance that the population proportion of adults in the country who believe organic produce is better for health is between $\square$ and $\square$ . b. Find and interpret an $80 \%$ confidence interval for this population parameter.
The $80 \%$ confidence interval for the proportion of adults in the country who believe organic produce is better for health is ( $0.682,0.720$ ). (Round to three decimal places as needed.) Interpret this interval. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals rounded to three decimal places as needed.) A. There is an $\square$ \% chance that the population proportion of adults in the country who believe organic produce is better for health is between $\square$ and $\square$ . B. We are $\square$ \% confident that every sample proportion of adults in the country who believe organic produce is better for health is between $\square$ $\square$ C. There is an $\square$ \% chance that the sample proportion of adults in the country who believe organic produce is better for health is between $\square$ and $\square$ D. We are $\%$ confident that the population proportion of adults in the country who believe organic produce is better for health is between $\square$ and

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Problem 2203

hth grade > L. 4 Add and subtract like terms AP7
Simplify the expression: $8 j+-2 j+-6 j$ $\square$

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Problem 2204

$\int \frac{\sqrt{9 x^{2}-16}}{x^{2}} d x$

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Problem 2205

The table shows masses of different types of nuts that Nathan buys. He plans to mix the nuts and then separate them into bags. Each bag will have 1.2 kg of nuts in it. \begin{tabular}{|l|c|} \hline Type of Nut & Mass (kg) \\ \hline Almonds & 3.64 \\ \hline Cashews & 2.79 \\ \hline Peanuts & 3.44 \\ \hline Pine Nuts & 2.73 \\ \hline \end{tabular}
Write how many bags of mixed nuts Nathan can completely fill.

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Problem 2206

Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate logarithmic expressions without using a calculator if possible. $\log _{3}\left(\frac{9}{\sqrt{x+6}}\right)$

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Problem 2207

Midterm Exam: Ch $1(1,2) 2(1,2,3) 3(1,2,3) 4(1,2) 5(1,2,3) 6(1,2)$ Question 21 of 30 (1 point) I Question Attempt: 1 of 1 Time Remaining: 1:04:37 Jonathan Español 13 $\equiv 14$ $=15$ = 16 $=17$ $=18$ $=19$ 20 21 22 23 24
Assume that a fair die is rolled. The sample space is $\{1,2,3,4,5,6\}$ , and all the outcomes are equally likely. Find $P$ (Even number). Express your answer in exact form. $P($ Even number $)=$ $\square$

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Problem 2208

Write $e^{\ln 30 x^{7}-\ln 5 x^{2}}$ as a single term that does not contain a logarithm. $e^{\ln 30 x^{7}-\ln 5 x^{2}}=$ $\square$ (Simplify your answer.)

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Problem 2209

If $P(B)=0.2$ , find $P\left(B^{C}\right)$ . $P\left(B^{C}\right)=$

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Problem 2210

Simplify $\left(\frac{4 a^{4} b^{2} c}{12 a^{2} b^{5} c^{3}}\right)^{0}$

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Problem 2211

way to compute a $15 \%$ tip for a bill is to multiply it by 0.15 . estaurant bill was \ $42.40. Calculate a 15\% tip. A.$ \ $6.36$ B. $\$ 63.60$ C. $\$ 4.24$ D. $\$ 5.76$

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Problem 2212

Simpiffy each expression. Aserume that the variablics represent any teal numbers Use the absolute value button only when necessary (a) $\sqrt{y^{26}}=\square$ (D) $\sqrt{2^{30}}=[$

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Problem 2213

Untitled document -... Traditional | Stats | N... Defense | Stats | NBA... Utah vs LA Stats \& P... Ivica Zubac /// Stats /... Home - Northern Ess... Content Midterm Exam: Ch $1(1,2) \mathbf{2}(1,2,3) 3(1,2,3) 4(1,2) 5(1,2,3) 6(1,2)$ Time Remaining: 58:14 Jona Question 26 of 30 (1 point) | Question Attempt: 1 of 1 < 13 $\equiv 14$ $\equiv 15$ 16 $=18$ $=19$ $=20$ $=21$ $=22$ $\equiv 23$
A fair coin is tossed four times. What is the probability that the sequence of tosses is HHHH? Write your answer as a fraction or a decimal, rounded to four decimal places.
The probability that the sequence of tosses is HHHH is $\square$ .

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Problem 2214

A stack of 500 pieces of paper is 1.875 inches tall.
PART A Diego guesses that each piece of paper is 0.015 inches thick. Explain why Diego's answer is incorrect. Hint: Use the $\boldsymbol{f}_{\mathbf{x}}$ button to type out math expressions, fractions, and symbols more easily.

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Problem 2215

4. Write each expression as a single trigonometric function. a) $2 \sin \frac{\pi}{4} \cos \frac{\pi}{4}$ b) $\left(6 \cos ^{2} 24^{\circ}-6 \sin ^{2} 24^{\circ}\right) \tan 48^{\circ}$ c) $\frac{2 \tan 76^{\circ}}{1-\tan ^{2} 76^{\circ}}$ d) $2 \cos ^{2} \frac{\pi}{6}-1$ e) $1-2 \cos ^{2} \frac{\pi}{12}$

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Problem 2216

Untited document -... Traditional | Stats | N... Defense / Stats | NBA.. Utah vs LA Stats \& P... Ivica Zubac /// Stats /... Home - Northern Ess... Time Remaining: 52:24 Jona Midterm Exam: Ch $1(1,2) \mathbf{2 ( 1 , 2 , 3 )} 3(1,2,3) 4(1,2) 5(1,2,3) 6(1,2)$ Question 29 of 30 (1 point) I Question Attempt: 1 of 1 19 20 $\equiv 21$ $\equiv 22$ 23 24 25 26 $\equiv 27$ 28 29
Coronary bypass surgery: A healthcare research agency reported that $41 \%$ of people who had coronary bypass surgery in 2008 were over the age of 65. Thirteen coronary bypass patients are sampled.
Part 1 of 2 (a) What is the mean number of people over the age of 65 in a sample of 13 coronary bypass patients? Round the answer to two decimal places.
The mean number of people over the age of 65 is $\square$ .
Part 2 of 2 (b) What is the standard deviation of the number of people over the age of 65 in a sample of 13 coronary bypass patients? Round the answer to four decimal places.
The standard deviation of the number of people over the age of 65 is $\square$ .

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Problem 2217

The tape diagrams below represent fraction multiplication. $1 / 5$ skink
Which expression represents the image? Choose 1 answer: (A) $\frac{5}{6} \times \frac{3}{2}$ (B) $\frac{1}{4} \times \frac{3}{4}$ (c) $\frac{5}{6} \times \frac{3}{4}$

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Problem 2218

Simplify. Assume that no variable equals 0. $\left(\frac{3}{2} d^{-2} f^{4}\right)^{4}\left(-\frac{4}{3} d^{5} f\right)^{3}$

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Problem 2219

If two dice are rolled, what is the probability of not rolling at least one prime number? The answer must be represented as a reduced fraction. $\square$ Basic

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Problem 2220

A stack of 500 pieces of paper is 1.875 inches tall.
PART A Diego guesses that each piece of paper is 0.015 inches thick. Explain why Diego's answer is incorrect. Hint: Use the $f_{x}$ button to type out math expressions, fractions, and symbols more easily

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Problem 2221

We are having cake and it is Ashley's birthday. gation: We aren't having cake or It Isn't Ashley's birthday. one of DeMorgan's Laws to choose a statement equivalent to the following.
Jupiter isn't one of our planets and Earth isn't at the center of our solar system.
Ivalent: $\square$ pour $\square$ It is not the case that "Jupiter is one of our planets and Earth is at the center of our solar system". Jupiter is one of our planets or Earth is at the center of our solar system. Earth is at the center of our solar system and Jupiter is one of our planets. It is not the case that "Jupiter is one of our planets or Earth is at the center of our solar system".

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Problem 2222

Simplify the expression. $\frac{2}{22 x+44}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choio A. $\frac{2}{22 x+44}=$ $\square$ (Simplify your answer.) B. The expression cannot be simplified.

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Problem 2223

$\frac{-4 r+4 s}{r-s}$
Select the correct choice below and fill in any answer boxes in your choice. A. $\frac{-4 r+4 s}{r-s}=$ $\square$ (Simplify your answer.) B. The expression cannot be simplified.

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Problem 2224

Complete the parts below. Write your answers as whole numbers or fractions in simplest form. (a) Kareem feeds his farm animals bushels of hay. The animals eat 32 bushels of hay in 8 days. Give two different unit fat using this relationship.
One unit rate: (Choose one) $\square$ per $\square$ Another unit rate: $\square$ (Choose one) $\square$ per $\square$ (b) Assume the animals eat the same amount of hay each day. How many bushels of hay do the animals eat in 9 days? $\square$ bushels

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Problem 2225

$\frac{2 x^{2}+x-6}{x+2}$
Select the correct choice below and fill in any answer boxes in your A. $\frac{2 x^{2}+x-6}{x+2}=\square$ (Simplify your answer.) B. The expression cannot be simplified.

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Problem 2226

Evaluate the limit using L'Hospital's rule $\lim _{x \rightarrow 0} \frac{e^{x}-1}{\sin (11 x)}$

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Problem 2227

斏, What is the value of $z$ ?

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Problem 2228

1. Let $f(x)=x^{2}+3 x-1$ and $g(x)=10-2 x$ . Find $f(x)-g(x)$ .

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Problem 2229

You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 18 containers. Estimate the population standard deviation at a $98 \%$ level of confidence. \begin{tabular}{|r|r|r|r|r|r|} \hline 11.99 & 12.13 & 11.86 & 12.01 & 11.95 & 12.11 \\ \hline 11.88 & 11.91 & 12 & 11.98 & 12.09 & 12.13 \\ \hline 11.98 & 11.93 & 12.14 & 12.08 & 11.98 & 12.07 \\ \hline \end{tabular} (Data checksum: 216.22) Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. a) Find the sample standard deviation: $0.0836 \times$ $\square$ b) Find the lower and upper $\chi^{2}$ critical values at $98 \%$ confidence:
Lower: $6.4077 \mathrm{~N} \mathrm{o}^{6}$ Upper: 30.1911 x c) Report your confidence interval for $\sigma:(0.0569 \times, 0.1152 \times)$

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Problem 2230

Use synthetic division to divide. SEE EXAMPLE 2
19. $x^{4}-25 x^{2}+144$ divided by $x-4$
20. $x^{3}+6 x^{2}+3 x-10$ divided by $x+5$
21. $x^{5}+2 x^{4}-3 x^{3}+x-1$ divided by $x+2$
22. $-x^{4}+7 x^{3}+x^{2}-2 x-12$ divided by $x-3$
23. Use synthetic division to show that the remainder of $f(x)=x^{4}-6 x^{3}-33 x^{2}+46 x+75$ divided by $x-9$ is $P(9)$ . SEE EXAMPLE 3

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Problem 2231

Mixed Review Use the Distributive Property to simplify each expression.
71. $7(4+2 y)$
72. $-6(3 b+11)$
73. $(8+2 t)(-2.1)$
74. $(-1+5 x) 5$
Evaluate each expression for $m=4, n=-1$ , and $p=-\frac{1}{2}$ .
75. $2 m-2 n$
76. $p m-n$
77. $6 m p$
See Lesson 1-6.
79. $8 p-(-5 n)$
80. $-2 m-n$
81. $-1.5 m \div 6 p$
78. $7 m \div(-4 n)$
82. $3 n^{2} \cdot\left(-10 p^{2}\right)$
Get Ready! To prepare for Lesson 1-9, do Exercises 83-86. Use a table to find the solution of each equation. (1) See Lesson 1-8.
83. $4 x-1=7$
84. $0=10+10 y$
85. $5 \frac{1}{2}=7-\frac{1}{2} b$ $86.3 t-(-5.4)=5.4$

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Problem 2232

$\begin{array}{c} \frac{3 z^{6}}{2 z^{7}} \div \frac{6 z^{2}}{10 z^{4}} \\ \frac{3 z^{6}}{2 z^{7}} \div \frac{6 z^{2}}{10 z^{4}}= \end{array}$ $\square$ (Simplify your answer. Use integers or fractions for any numbers in

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Problem 2233

Find $R T$ .
Write your answer as an integer or as a decimal rounded to the nearest tenth. $R T=$ $\square$

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Problem 2234

$\frac{x^{2}+5 x+4}{x-8} \div \frac{x^{2}-4 x-5}{x-8}$ $\frac{x^{2}+5 x+4}{x-8} \div \frac{x^{2}-4 x-5}{x-8}=$ $\square$ (Type your answer in factored form.)

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Problem 2235

A proton is roughly 1800 times more massive than an electron. If a proton and an electron are traveling at the same speed, the wavelength of the photon will be about $(1800)^{1 / 2}$ times longer than the wavelength of the electron. the wavelength of the photon will be about 1800 times longer than the wavelength of the electron. the wavelength of the photon will be roughly equal to the wavelength of the electron. the wavelength of the electron will be about $(1800)^{1 / 2}$ times longer than the wavelength of the photon. the wavelength of the electron will be about 1800 times longer than the wavelength of the photon.

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Problem 2236

\begin{tabular}{|c|c|c|} \hline $0.373737 \ldots$ & $\begin{array}{l} \mathrm{O} \text { Yes } \\ \mathrm{O} \text { No } \end{array}$ & This is a terminating decimal. This is a repeating decimal. This is a decimal that neither terminates nor repeats. \\ \hline 0.63758... & $\begin{array}{l} \text { Yes } \\ \text { No } \end{array}$ & This is a terminating decimal. This is a repeating decimal. This is a decimal that neither terminates nor repeats. \\ \hline 0.222 & $\begin{array}{l} \text { O Yes } \\ \text { O No } \end{array}$ & This is a terminating decimal. This is a repeating decimal. This is a decimal that neither terminates nor repeats. \\ \hline $0.2 \overline{3}$ & $\begin{array}{l} \text { O Yes } \\ \text { N No } \end{array}$ & This is a terminating decimal. This is a repeating decimal. This is a decimal that neither terminates nor repeats. \\ \hline \end{tabular}

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Problem 2237

$\frac{a^{2}+12 a+35}{a^{2}+2 a-48} \cdot \frac{a^{2}+3 a-54}{a^{2}+14 a+49}=$ (Simplify your answer.)

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Problem 2238

Write 0.0000823 in scientific notation.

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Problem 2239

$\begin{array}{l}y^{2}+2 y-24 y^{2}+8 y+16 \\ \frac{y^{2}+12 y+32}{y^{2}+2 y-24} \cdot \frac{y^{2}+5 y-36}{y^{2}+8 y+16}=\end{array}$

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Problem 2240

Scientific notation with a negetive exponent
Write $7.163 \times 10^{-6}$ in standard notation.

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Problem 2241

Rewrite the following without $\left(\frac{4}{3}\right)^{-2}$

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Problem 2242

Zach Bratz Homework 12-B Question 1, 5.3.9 HW Score: $66.67 \%, 4$ of 6 points Part 1 of 6 Points: 0 of 1 Save
The functions $f$ and $g$ are integrable and $\int_{2}^{4} f(x) d x=-3, \int_{2}^{7} f(x) d x=-4$ , and $\int_{2}^{7} g(x) d x=3$ . Use these to complete parts (a) through (f). a. $\int_{4}^{4} f(x) d x=$ $\square$ (Simplify your answer.)

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Problem 2243

6) $(2-3 i)-(5+2 i)$

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Problem 2244

Homework 12-B Part 6 of 6 list $\mid \ll$ The functions $f$ and $g$ are integrable and $\int_{2}^{4} f(x) d x=-3, \int_{2}^{7} f(x) d x=-4$ , and $\int_{2}^{7} g(x) d x=3$ . Use these to complete parts (a) through (f). n 2 on 3 tion 4 stion 5 estion 6 a: $\int_{4}^{4} f(x) d x=0$ (Simplify your answer.) b. $\int_{7}^{2} g(x) d x=-3$ (Simplify your answer.) c. $\int_{2}^{7} 6 g(x) d x=18$ (Simplify your answer.) d. $\int_{4}^{7} f(x) d x=-1$ (Simplify your answer.) e. $\int_{2}^{7}[g(x)-f(x)] d x=7$ (Simplify your answer.) f. $\int_{2}^{7}[5 g(x)-f(x)] d x=$ $\square$ (Simplify your answer.) Clear all chaces aramets

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Problem 2245

Use the sum and difference of cubes formulas to fac $x^{3}-1$

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Problem 2246

The percent of a polyatomic ion in a compound can also be calculated? What is the percent of ammonium in ammonium iodide?
Answer: Finish att

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Problem 2247

Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ feet Submit

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Problem 2248

$6 \times 3$

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Problem 2249

Factor the difference of two squares. $16 x^{2}-81$

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Problem 2250

Find all unknown angle measures in the pair of similar triangles. Note that the triangles are not drawn to scale.
Enter the missing angle measures below. $\begin{array}{l} \mathrm{m} \angle A=\square^{\circ} \\ \mathrm{m} \angle \mathrm{M}=\square^{\circ} \\ \mathrm{m} \angle \mathrm{~N}=\square^{\circ} \\ \mathrm{m} \angle P=\square^{\circ} \end{array}$

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Problem 2251

Factor out the greatest common factor. $7 \times(a+2 b)-(a+2 b)$

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Problem 2252

A meteor crater is 3800 feet in diameter. Approximate the distance around the crater. Use 3.14 for $\pi$ .
The distance around the crater is approximately $\square$ $\square$ (Type an integer or a decimal.)

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Problem 2253

1. The greatest common factor of the following is * $16 x y^{2} z$ and $4 x^{2} y^{2} z^{2}$ $2 x^{2} y^{5} z^{4} \quad 2 x^{2} y^{2} z$ Option 1 Option 2 $4 x^{3} y^{5} z$ $4 x^{2} y^{2} z$ Option 3 Option 4

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Problem 2254

Calculate $\sqrt{-3+4 i}$ . Give your answer in $a+b i$ form. Give the solution with smallest positive angle.

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Problem 2255

Find $w x$ .
Write your answer as an integer or as a decimal rounded to the nearest ter $w X=$ $\square$ Submit

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Problem 2256

$U$ is the midpoint of $\overline{T V}$ and $S$ is the midpoint of $\overline{R T}$ . If $R V=14$ , what is $S U ?$ $S U=$

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Problem 2257

Subtract. $\left(6 y^{2}-5 y+7\right)-\left(5 y^{2}-5 y+3\right)$ $\square$ (Simplify your answer. Do not factor.)

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Problem 2258

Find $X Y$ .
Write your answer as an integer or as a decimal rounded to the nearest tenth. $X Y=$ $\square$ Submit

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Problem 2259

Triangles $A$ and $B$ are similar triangles. Find the ratio of the corresponding sides of triangle $A$ to triangle $B$ .
The ratio of the corresponding sides of triangles $A$ to $B$ is $\square$ (Type the ratio as a simplified fraction.)

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Problem 2260

Find $w x$ .
Write your answer as an integer or as a decimal rounded to the nearest tenth. $w x=$ $\square$ Submit

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Problem 2261

Find UV.
Write your answer as an integer or as a decimal rounded to the nearest tenth. $U V=$ $\square$ Submit

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Problem 2262

Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants. $\frac{9 x^{2}-5 x+6}{(x-8)\left(x^{2}+2\right)}$
What is the form of the partial decomposition of the given expression? A. $\frac{A}{x-8}+\frac{B x}{(x-2)}+\frac{C}{x^{2}+2}$ B. $\frac{A}{x-8}+\frac{B}{x^{2}+2}$ c. $\frac{A x+B}{x-8}+\frac{C x+D}{x^{2}+2}$ D. $\frac{A}{x-8}+\frac{B x+C}{x^{2}+2}+\frac{D x+E}{\left(x^{2}+2\right)^{2}}$ E. $\frac{A}{x-8}+\frac{B x+C}{x^{2}+2}$ F. $\frac{A}{x-8}+\frac{B x}{(x-2)}+\frac{C x+D}{(x+2)}$

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Problem 2263

Factor completely. $5 v^{2}-40 v-100$

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Problem 2264

$\frac{3}{14 y}+\frac{y}{14}$
Which expression is equivalent to the sum for $y \neq 0$ ?

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Problem 2265

Calculate $\int_{1}^{2} \frac{6 x^{3}+10 x-2}{2 x^{2}} d x$ . You may need to simptify it first. Show your work.

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Problem 2266

Find the partial fraction decomposition for the rational expression. $\begin{array}{l} \frac{9 x+39}{(x+3)(x+7)} \\ \frac{9 x+39}{(x+3)(x+7)}= \end{array}$ $\square$

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Problem 2267

integral $\int \sin ^{3}(x) e^{\cos (x)} d x$ , we shoulc

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Problem 2268

24. $x^{4}+2 x^{3}-8 x-16 ; x+2$
26. $x^{3}-x^{2}-5 x-3 ; x-3$
28. $2 x^{3}+7 x^{2}-53 x-28 ; x-4$

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Problem 2269

Rationalize the denominator: $\frac{2}{\sqrt{3}}$ The result can be expressed in the form $\frac{A}{B}$ where $A=\square$ $B=$ $\square$
Entry Tip; Do not use a decimal approximation for square roots. To enter a number like $5, \overline{7}$ , type 5*sqrt(7). Preview your answer before submitting Question Help: $\square$ Submit Question

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Problem 2270

34. $x^{3}-6 x^{2}+11 x-6 ; x-3$

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Problem 2271

implify $\frac{\sqrt{5 z^{15} k^{4}}}{\sqrt{13 z^{5} k^{10}}}$

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Problem 2272

Simplify, $\frac{x^{2}+2 x-35}{-4 x^{2}-16 x+84}$

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Problem 2273

$\frac{4+\sqrt{2}}{5+\sqrt{2}}$

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Problem 2274

a) $(4 x+\sqrt{10})(4 x-\sqrt{10})$ oard) b) $(\sqrt{3} x-2)(\sqrt{3} x+2)$

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Problem 2275

rm the operation and write the answer in simple theses. $\frac{\frac{3 x-1}{x+2}}{9}$

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Problem 2276

Rationalize and completely simplify the following radical expressions: $\begin{array}{l} \sqrt{\frac{14}{w^{7}}}=\square \\ \frac{1}{\sqrt[5]{9 w^{3}}}=\square \\ \frac{x w \sqrt{3}}{\sqrt{x w^{7}}}=\square \end{array}$

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Problem 2277

$25+100 \div 5^{2}$

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Problem 2278

Translate the English phrase to an algebraic expression. The product of the principal square root of 6 and the square of $x$ .
The algebraic phrase is $\square$ .

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Problem 2279

Use this result to find each sum. Estimate to check the sum is reasonable. a) $3 \frac{1}{2}+\frac{1}{5}$ b) $\frac{1}{2}+2 \frac{1}{5}$
7. For each pair of numbers, find d) $4 \frac{1}{2}+3 \frac{1}{5}$

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Problem 2280

5. Write in words. *
1 point \$ 10.05
Your answer
6. Joshua earned $\$ 156.50$ last week. He earned $\$ 45.80$ more * 3 points this week. How much did Joshua earned in two weeks?
Your answer
7. Iris spent $\$ 14.60$ on a sandwich and some ice cream. The * 3 points sandwich cost $\$ 8.50$ . How much cheaper was the ice cream than the sandwich?
Your answer
8. There are 5 nickels, 2 quarters, 4 one-dollar bills and a * 3 points penny in a purse. What is the total amount of money in the purse?

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Problem 2281

$\qquad$ 3. 4.
2×3ヶ2X $\qquad$ Write the prime factorizations.
5. 44
6. 125
7. 85
8. 39 , $\qquad$ $\qquad$

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Problem 2282

Simplify the expression: $2 x^{-5}$ .

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Problem 2283

Evaluate the following integral using the Fundamental Theorem of Calculus. $\int_{-\pi / 2}^{\pi / 2}(\cos x-4) d x$ $\int_{-\pi / 2}^{\pi / 2}(\cos x-4) d x=\square$ (Type an exact answer.)

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Problem 2284

Area and Volume Google Account Area of a sector of a circle: Exact answer in terms of pi ALEKS - Carlos Silva-Villa - Learn A part of a line cor
The circle has center $O$ . Its radius is 3 m , and the central angle $a$ measures $70^{\circ}$ . What is the area of the shaded region? Give the exact answer in terms of $\pi$ , and be sure to include the correct unit in your answer. $\square$

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Problem 2285

Area of a sector of a circle: Exact answer in terms of pi
The circle has center $O$ . Its radius is 5 yd , and the central angle $a$ measures $110^{\circ}$ . What is the area of the shaded region? Give the exact answer in terms of $\pi$ , and be sure to include the correct unit in your answer. $\square$

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Problem 2286

Google Account ALEKS - Carlos Silva-Villa - Learn
Area and Volume Word problem involving the area between two concentric circles
A flower garden is shaped like a circle. Its radius is 16 yd . A ring-shaped path goes around the garden. The width of the path is 5 yd.
The gardener is going to cover the path with sand. If one bag of sand can cover 5 yd ${ }^{2}$ , how many bags of sand does the gardener need? Note that sand comes only by the bag, so the number of bags must be a whole number. (Use the value 3.14 for $\pi$ .) $\square$ bags of sand

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Problem 2287

A thimble of water contains $4.0 \times 10^{21}$ molecules. The number of moles of $\mathrm{H}_{2} \mathrm{O}$ is $6.6 \times 10^{-3}$ $6.6 \times 10^{-23}$ $2.4 \times 10^{23}$ $2.4 \times 10^{-23}$ $2.4 \times 10^{45}$

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Problem 2288

The circle below has center $O$ , and its radius is 3 m . Given that $m \angle A O B=40^{\circ}$ , find the length of the \underline{A r c} \overparen{A B} and the area of the shaded region. Give exact answers in terms of $\pi$ , and be sure to include the correct units in your answer.
Length of \overparen{A B} : $\square$ $\pi$
Area of shaded region: $\square$

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Problem 2289

The circle below has center $O$ , and its. radius is 9 m . Given that $m \angle A O B=100^{\circ}$ , find the area of the shaded region and the length of the arc $A D B$ . Give exact answers in terms of $\pi$ , and be sure to include the correct units in your answer.
Area of shaded region: $\square$
Length of \overparen{A D B} : $\square$

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Problem 2290

A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value? $\frac{4 \mathrm{~cm}}{1 \text { year }} \times \frac{10 \mathrm{~mm}}{1 \mathrm{~cm}} \times \frac{1 \text { year }}{365 \text { days }}$ $\frac{4 \mathrm{~cm}}{1 \text { year }} \times \frac{1 \mathrm{~mm}}{10 \mathrm{~cm}} \times \frac{1 \text { year }}{365 \text { days }}$ $\frac{4 \mathrm{~cm}}{1 \text { year }} \times \frac{1 \mathrm{~cm}}{10 \mathrm{~mm}} \times \frac{365 \text { days }}{1 \text { year }}$ $\frac{4 \mathrm{~cm}}{1 \text { year }} \times \frac{10 \mathrm{~mm}}{1 \mathrm{~cm}} \times \frac{365 \text { days }}{1 \text { year }}$

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Problem 2291

$\sqrt{-6} \cdot \sqrt{-17}$

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Problem 2292

A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? There are 12 inches in a foot, and 3 feet in a yard. 36 characters 144 characters 360 characters 432 characters

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Problem 2293

6. $\sqrt{-29}$

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Problem 2294

Factor the GCF out of the polynomial below: $15 x^{5}+5 x^{3}+35 x^{2}$

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Problem 2295

Let $p, q$ , and r represent the following simple statements. p : It is Tuesday. q : This is an octopus. r . I get an A. Write the symbolic statement in words. $\sim r \rightarrow(q \wedge p)$
Choose the correct answer below. A. If I do not get an A, then this is not an octopus and it is Tuesday. B. If I get an A then this is an octopus, and it is Tuesday. C. If I do not get an A, then this is an octopus and it is Tuesday. D. If I get an A then this is not an octopus, and it is not Tuesday.

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Problem 2296

Factor out the GCF of the polynomial: $10 x^{5} y^{3}+25 x^{4} y^{4}+5 x^{3} y^{2}$

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Problem 2297

13. Given that $Z_{1}=(3-2 i), Z_{2}=(-2+4 \mathrm{i})$ a. workout i. $Z_{1}+Z_{2}$ (2 marks) ii. $Z_{1}-Z_{2}$ (2 marks) $\qquad$ $\qquad$ $\qquad$ $\qquad$ b. Represent the following in triangle diagram i. $Z_{1}+Z_{2}$ (2 marks) $\qquad$ $\qquad$ $\qquad$ ii. $Z_{1}-Z_{2} \quad$ (2marks) $\qquad$ $\qquad$ Page 5 of 10 $\qquad$ $\qquad$ $\qquad$ $\qquad$ c. Put $\frac{2-i}{1-i}$ in the form $\mathrm{a}+\mathrm{ib}$ and hence find the values of $\mathbf{a}$ and $\mathbf{b}$ . (4 marks) $\qquad$ $\qquad$ $\qquad$ $\qquad$
14. a. Differentiate from the first principles $y=4-x^{2}$ (3 marks) $\qquad$ $\qquad$ $\qquad$ $\qquad$ b. A point moving in a straight line such that the distance $S$ covered after $t$ seconds from the fixed point on the line is given by the equation $\mathrm{S}=\left(t^{3}-2 t^{2}+t\right)$ meters, find i. Velocity after three seconds. (3 marks) $\qquad$ $\qquad$ $\qquad$

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Problem 2298

10. $\begin{array}{r} 253_{6} \\ +\quad 514_{6} \\ \hline 12116 \end{array}$

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Problem 2299

Find the indefinite integral and check the result by differentiation. (Use $C$ for the constant of integration.) $\int \frac{x^{4}-4 x^{2}+1}{x^{4}} d x$

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Problem 2300

Find the indefinite integral. (Use $C$ for the constant of integration.) $\int(\sin (x)-2 \cos (x)) d x$

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Expression

Problem 2201

∫(−5x5+3)dx\int\left(-5 x^{5}+3\right) d x∫(−5x5+3)dx

Problem 2202

Problem 2203

hth grade > L. 4 Add and subtract like terms AP7Simplify the expression: 8j+−2j+−6j8 j+-2 j+-6 j8j+−2j+−6j □\square□

Problem 2204

∫9x2−16x2dx\int \frac{\sqrt{9 x^{2}-16}}{x^{2}} d x∫x29x2−16​​dx

Problem 2205

Problem 2206

Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate logarithmic expressions without using a calculator if possible. log⁡3(9x+6)\log _{3}\left(\frac{9}{\sqrt{x+6}}\right)log3​(x+6​9​)

Problem 2207

Problem 2208

Write eln⁡30x7−ln⁡5x2e^{\ln 30 x^{7}-\ln 5 x^{2}}eln30x7−ln5x2 as a single term that does not contain a logarithm. eln⁡30x7−ln⁡5x2=e^{\ln 30 x^{7}-\ln 5 x^{2}}=eln30x7−ln5x2= □\square□ (Simplify your answer.)

Problem 2209

If P(B)=0.2P(B)=0.2P(B)=0.2, find P(BC)P\left(B^{C}\right)P(BC). P(BC)=P\left(B^{C}\right)=P(BC)=

Problem 2210

Simplify (4a4b2c12a2b5c3)0\left(\frac{4 a^{4} b^{2} c}{12 a^{2} b^{5} c^{3}}\right)^{0}(12a2b5c34a4b2c​)0

Problem 2211

way to compute a 15%15 \%15% tip for a bill is to multiply it by 0.15 . estaurant bill was \42.40.Calculatea15%tip.A.42.40. Calculate a 15\% tip. A. 42.40.Calculatea15%tip.A.\6.36 6.366.36 B. $63.60\$ 63.60$63.60 C. $4.24\$ 4.24$4.24 D. $5.76\$ 5.76$5.76

Problem 2212

Simpiffy each expression. Aserume that the variablics represent any teal numbers Use the absolute value button only when necessary (a) y26=□\sqrt{y^{26}}=\squarey26​=□ (D) 230=[\sqrt{2^{30}}=[230​=[

Problem 2213

Problem 2214

A stack of 500 pieces of paper is 1.875 inches tall.PART A Diego guesses that each piece of paper is 0.015 inches thick. Explain why Diego's answer is incorrect. Hint: Use the fx\boldsymbol{f}_{\mathbf{x}}fx​ button to type out math expressions, fractions, and symbols more easily.

Problem 2215

Problem 2216

Problem 2217

The tape diagrams below represent fraction multiplication. 1/51 / 51/5 skinkWhich expression represents the image? Choose 1 answer: (A) 56×32\frac{5}{6} \times \frac{3}{2}65​×23​ (B) 14×34\frac{1}{4} \times \frac{3}{4}41​×43​ (c) 56×34\frac{5}{6} \times \frac{3}{4}65​×43​

Problem 2218

Simplify. Assume that no variable equals 0. (32d−2f4)4(−43d5f)3\left(\frac{3}{2} d^{-2} f^{4}\right)^{4}\left(-\frac{4}{3} d^{5} f\right)^{3}(23​d−2f4)4(−34​d5f)3

Problem 2219

If two dice are rolled, what is the probability of not rolling at least one prime number? The answer must be represented as a reduced fraction. □\square□ Basic

Problem 2220

A stack of 500 pieces of paper is 1.875 inches tall.PART A Diego guesses that each piece of paper is 0.015 inches thick. Explain why Diego's answer is incorrect. Hint: Use the fxf_{x}fx​ button to type out math expressions, fractions, and symbols more easily

Problem 2221

Problem 2222

Simplify the expression. 222x+44\frac{2}{22 x+44}22x+442​Select the correct choice below and, if necessary, fill in the answer box to complete your choio A. 222x+44=\frac{2}{22 x+44}=22x+442​= □\square□ (Simplify your answer.) B. The expression cannot be simplified.

Problem 2223

−4r+4sr−s\frac{-4 r+4 s}{r-s}r−s−4r+4s​Select the correct choice below and fill in any answer boxes in your choice. A. −4r+4sr−s=\frac{-4 r+4 s}{r-s}=r−s−4r+4s​= □\square□ (Simplify your answer.) B. The expression cannot be simplified.

Problem 2224

Problem 2225

2x2+x−6x+2\frac{2 x^{2}+x-6}{x+2}x+22x2+x−6​Select the correct choice below and fill in any answer boxes in your A. 2x2+x−6x+2=□\frac{2 x^{2}+x-6}{x+2}=\squarex+22x2+x−6​=□ (Simplify your answer.) B. The expression cannot be simplified.

Problem 2226

Evaluate the limit using L'Hospital's rule lim⁡x→0ex−1sin⁡(11x)\lim _{x \rightarrow 0} \frac{e^{x}-1}{\sin (11 x)}x→0lim​sin(11x)ex−1​

Problem 2227

斏, What is the value of zzz ?

Problem 2228

1. Let f(x)=x2+3x−1f(x)=x^{2}+3 x-1f(x)=x2+3x−1 and g(x)=10−2xg(x)=10-2 xg(x)=10−2x. Find f(x)−g(x)f(x)-g(x)f(x)−g(x).

Problem 2229

Problem 2230

Problem 2231

Problem 2232

3z62z7÷6z210z43z62z7÷6z210z4=\begin{array}{c} \frac{3 z^{6}}{2 z^{7}} \div \frac{6 z^{2}}{10 z^{4}} \\ \frac{3 z^{6}}{2 z^{7}} \div \frac{6 z^{2}}{10 z^{4}}= \end{array}2z73z6​÷10z46z2​2z73z6​÷10z46z2​=​ □\square□ (Simplify your answer. Use integers or fractions for any numbers in

Problem 2233

Find RTR TRT.Write your answer as an integer or as a decimal rounded to the nearest tenth. RT=R T=RT= □\square□

Problem 2234

x2+5x+4x−8÷x2−4x−5x−8\frac{x^{2}+5 x+4}{x-8} \div \frac{x^{2}-4 x-5}{x-8}x−8x2+5x+4​÷x−8x2−4x−5​ x2+5x+4x−8÷x2−4x−5x−8=\frac{x^{2}+5 x+4}{x-8} \div \frac{x^{2}-4 x-5}{x-8}=x−8x2+5x+4​÷x−8x2−4x−5​= □\square□ (Type your answer in factored form.)

Problem 2235

Problem 2236

Problem 2237

a2+12a+35a2+2a−48⋅a2+3a−54a2+14a+49=\frac{a^{2}+12 a+35}{a^{2}+2 a-48} \cdot \frac{a^{2}+3 a-54}{a^{2}+14 a+49}=a2+2a−48a2+12a+35​⋅a2+14a+49a2+3a−54​= (Simplify your answer.)

Problem 2238

Write 0.0000823 in scientific notation.

Problem 2239

y2+2y−24y2+8y+16y2+12y+32y2+2y−24⋅y2+5y−36y2+8y+16=\begin{array}{l}y^{2}+2 y-24 y^{2}+8 y+16 \\ \frac{y^{2}+12 y+32}{y^{2}+2 y-24} \cdot \frac{y^{2}+5 y-36}{y^{2}+8 y+16}=\end{array}y2+2y−24y2+8y+16y2+2y−24y2+12y+32​⋅y2+8y+16y2+5y−36​=​

Problem 2240

Scientific notation with a negetive exponentWrite 7.163×10−67.163 \times 10^{-6}7.163×10−6 in standard notation.

Problem 2241

Rewrite the following without (43)−2\left(\frac{4}{3}\right)^{-2}(34​)−2

Problem 2242

Problem 2243

6) (2−3i)−(5+2i)(2-3 i)-(5+2 i)(2−3i)−(5+2i)

Problem 2244

Problem 2245

Use the sum and difference of cubes formulas to fac x3−1x^{3}-1x3−1

Problem 2246

The percent of a polyatomic ion in a compound can also be calculated? What is the percent of ammonium in ammonium iodide?Answer: Finish att

Problem 2247

Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. □\square□ feet Submit

$\int\left(-5 x^{5}+3\right) d x$

hth grade > L. 4 Add and subtract like terms AP7
Simplify the expression: $8 j+-2 j+-6 j$ $\square$

$\int \frac{\sqrt{9 x^{2}-16}}{x^{2}} d x$

Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate logarithmic expressions without using a calculator if possible. $\log _{3}\left(\frac{9}{\sqrt{x+6}}\right)$

Write $e^{\ln 30 x^{7}-\ln 5 x^{2}}$ as a single term that does not contain a logarithm. $e^{\ln 30 x^{7}-\ln 5 x^{2}}=$ $\square$ (Simplify your answer.)

If $P(B)=0.2$ , find $P\left(B^{C}\right)$ . $P\left(B^{C}\right)=$

Simplify $\left(\frac{4 a^{4} b^{2} c}{12 a^{2} b^{5} c^{3}}\right)^{0}$

way to compute a $15 \%$ tip for a bill is to multiply it by 0.15 . estaurant bill was \ $42.40. Calculate a 15\% tip. A.$ \ $6.36$ B. $\$ 63.60$ C. $\$ 4.24$ D. $\$ 5.76$

Simpiffy each expression. Aserume that the variablics represent any teal numbers Use the absolute value button only when necessary (a) $\sqrt{y^{26}}=\square$ (D) $\sqrt{2^{30}}=[$

A stack of 500 pieces of paper is 1.875 inches tall.
PART A Diego guesses that each piece of paper is 0.015 inches thick. Explain why Diego's answer is incorrect. Hint: Use the $\boldsymbol{f}_{\mathbf{x}}$ button to type out math expressions, fractions, and symbols more easily.

The tape diagrams below represent fraction multiplication. $1 / 5$ skink
Which expression represents the image? Choose 1 answer: (A) $\frac{5}{6} \times \frac{3}{2}$ (B) $\frac{1}{4} \times \frac{3}{4}$ (c) $\frac{5}{6} \times \frac{3}{4}$

Simplify. Assume that no variable equals 0. $\left(\frac{3}{2} d^{-2} f^{4}\right)^{4}\left(-\frac{4}{3} d^{5} f\right)^{3}$

If two dice are rolled, what is the probability of not rolling at least one prime number? The answer must be represented as a reduced fraction. $\square$ Basic

A stack of 500 pieces of paper is 1.875 inches tall.
PART A Diego guesses that each piece of paper is 0.015 inches thick. Explain why Diego's answer is incorrect. Hint: Use the $f_{x}$ button to type out math expressions, fractions, and symbols more easily

Simplify the expression. $\frac{2}{22 x+44}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choio A. $\frac{2}{22 x+44}=$ $\square$ (Simplify your answer.) B. The expression cannot be simplified.

$\frac{-4 r+4 s}{r-s}$
Select the correct choice below and fill in any answer boxes in your choice. A. $\frac{-4 r+4 s}{r-s}=$ $\square$ (Simplify your answer.) B. The expression cannot be simplified.

$\frac{2 x^{2}+x-6}{x+2}$
Select the correct choice below and fill in any answer boxes in your A. $\frac{2 x^{2}+x-6}{x+2}=\square$ (Simplify your answer.) B. The expression cannot be simplified.

Evaluate the limit using L'Hospital's rule $\lim _{x \rightarrow 0} \frac{e^{x}-1}{\sin (11 x)}$

斏, What is the value of $z$ ?

1. Let $f(x)=x^{2}+3 x-1$ and $g(x)=10-2 x$ . Find $f(x)-g(x)$ .

$\begin{array}{c} \frac{3 z^{6}}{2 z^{7}} \div \frac{6 z^{2}}{10 z^{4}} \\ \frac{3 z^{6}}{2 z^{7}} \div \frac{6 z^{2}}{10 z^{4}}= \end{array}$ $\square$ (Simplify your answer. Use integers or fractions for any numbers in

Find $R T$ .
Write your answer as an integer or as a decimal rounded to the nearest tenth. $R T=$ $\square$

$\frac{x^{2}+5 x+4}{x-8} \div \frac{x^{2}-4 x-5}{x-8}$ $\frac{x^{2}+5 x+4}{x-8} \div \frac{x^{2}-4 x-5}{x-8}=$ $\square$ (Type your answer in factored form.)

$\frac{a^{2}+12 a+35}{a^{2}+2 a-48} \cdot \frac{a^{2}+3 a-54}{a^{2}+14 a+49}=$ (Simplify your answer.)

$\begin{array}{l}y^{2}+2 y-24 y^{2}+8 y+16 \\ \frac{y^{2}+12 y+32}{y^{2}+2 y-24} \cdot \frac{y^{2}+5 y-36}{y^{2}+8 y+16}=\end{array}$

Scientific notation with a negetive exponent
Write $7.163 \times 10^{-6}$ in standard notation.

Rewrite the following without $\left(\frac{4}{3}\right)^{-2}$

6) $(2-3 i)-(5+2 i)$

Use the sum and difference of cubes formulas to fac $x^{3}-1$

The percent of a polyatomic ion in a compound can also be calculated? What is the percent of ammonium in ammonium iodide?
Answer: Finish att

Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ feet Submit

$6 \times 3$

Factor the difference of two squares. $16 x^{2}-81$

Factor out the greatest common factor. $7 \times(a+2 b)-(a+2 b)$

A meteor crater is 3800 feet in diameter. Approximate the distance around the crater. Use 3.14 for $\pi$ .
The distance around the crater is approximately $\square$ $\square$ (Type an integer or a decimal.)

1. The greatest common factor of the following is * $16 x y^{2} z$ and $4 x^{2} y^{2} z^{2}$ $2 x^{2} y^{5} z^{4} \quad 2 x^{2} y^{2} z$ Option 1 Option 2 $4 x^{3} y^{5} z$ $4 x^{2} y^{2} z$ Option 3 Option 4

Calculate $\sqrt{-3+4 i}$ . Give your answer in $a+b i$ form. Give the solution with smallest positive angle.

Find $w x$ .
Write your answer as an integer or as a decimal rounded to the nearest ter $w X=$ $\square$ Submit

$U$ is the midpoint of $\overline{T V}$ and $S$ is the midpoint of $\overline{R T}$ . If $R V=14$ , what is $S U ?$ $S U=$

Subtract. $\left(6 y^{2}-5 y+7\right)-\left(5 y^{2}-5 y+3\right)$ $\square$ (Simplify your answer. Do not factor.)

Find $X Y$ .
Write your answer as an integer or as a decimal rounded to the nearest tenth. $X Y=$ $\square$ Submit

Triangles $A$ and $B$ are similar triangles. Find the ratio of the corresponding sides of triangle $A$ to triangle $B$ .
The ratio of the corresponding sides of triangles $A$ to $B$ is $\square$ (Type the ratio as a simplified fraction.)

Find $w x$ .
Write your answer as an integer or as a decimal rounded to the nearest tenth. $w x=$ $\square$ Submit

Find UV.
Write your answer as an integer or as a decimal rounded to the nearest tenth. $U V=$ $\square$ Submit

Factor completely. $5 v^{2}-40 v-100$

$\frac{3}{14 y}+\frac{y}{14}$
Which expression is equivalent to the sum for $y \neq 0$ ?

Calculate $\int_{1}^{2} \frac{6 x^{3}+10 x-2}{2 x^{2}} d x$ . You may need to simptify it first. Show your work.

Find the partial fraction decomposition for the rational expression. $\begin{array}{l} \frac{9 x+39}{(x+3)(x+7)} \\ \frac{9 x+39}{(x+3)(x+7)}= \end{array}$ $\square$

integral $\int \sin ^{3}(x) e^{\cos (x)} d x$ , we shoulc

24. $x^{4}+2 x^{3}-8 x-16 ; x+2$
26. $x^{3}-x^{2}-5 x-3 ; x-3$
28. $2 x^{3}+7 x^{2}-53 x-28 ; x-4$

34. $x^{3}-6 x^{2}+11 x-6 ; x-3$

implify $\frac{\sqrt{5 z^{15} k^{4}}}{\sqrt{13 z^{5} k^{10}}}$

Simplify, $\frac{x^{2}+2 x-35}{-4 x^{2}-16 x+84}$

$\frac{4+\sqrt{2}}{5+\sqrt{2}}$

a) $(4 x+\sqrt{10})(4 x-\sqrt{10})$ oard) b) $(\sqrt{3} x-2)(\sqrt{3} x+2)$