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Problem 2101

$\begin{array}{l}-7 x+6 y=0 \\ 0.5 x+y=2\end{array}$

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Problem 2102

Show Examples
Question What is the equation of the line that passes through the point $(-6,-3)$ and has a slope of $-\frac{1}{6}$ ?
Answer Attempt 1 out of 2

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Problem 2103

Show Examples
Question What is the equation of the line that passes through the point $(6,2)$ and has a slope of $\frac{1}{3}$ ?

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Problem 2104

Part A: Rachel used $4 \frac{1}{2}$ cups of apple juice in a holiday fruit punch that serves 12 people. How many cups of apple juice does Rachel use per person?

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Problem 2105

Solve for $b$ . $4 \geq \frac{b}{6}$

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Problem 2106

Determine the molarity of a solution formed by dissolving 188.2 g LiBr in enough water to yield 574.7 mL of solution.

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Problem 2107

Evaluate. $\begin{array}{c} \int e^{8 x} d x \\ \int e^{8 x} d x= \end{array}$ $\square$

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Problem 2108

Find the distance between the two points in simplest radical form.

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Problem 2109

b)
Find the two solutions of $z^{2}=2-5 j$ in the form $z_{1}=r_{1} e^{\theta_{1} j}$ , (the principal solution), and $z_{2}=r_{2} e^{\theta_{2} j}$ .
For $z_{1}=r_{1} e^{\theta_{1}}$ , where $r_{1}=$ $\qquad$ and $\theta_{1}=$ $\qquad$ radians
For $z_{2}=r_{2} e^{\theta_{2} j}$ , where $r_{2}=$ $\qquad$ and $\theta_{2}=$ $\qquad$ radians

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Problem 2110

QUESTION 3 $\cdot$ 1 POINT
What value of $x$ makes the equation $3^{(x-5)}=27^{(x+4)}$ true? Do not include " $x=$ " in your answer. (Express your answer as a decimal, if necessary.)

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Problem 2111

What is the surface area of the cone? $S A=\pi r s+\pi r^{2}$
Surface Area:

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Problem 2112

opy the following table and find the missing amounts. \begin{tabular}{|l|l|l|} \hline Cost price & Selling price & Profit or loss \\ \hline $\$ 45.10$ & $\$ 60.95$ & $\$$ \\ \hline $\$ 689.50$ & $\$ 700$ & $\$$ \\ \hline $\$ 15.20$ & $\$$ & $\$$ \\ \hline $\$$ & $\$ 26.25$ & $\$ 5.10$ loss \\ \hline $\$ 2490.99$ & $\$ 2219.99$ & $\$$ \\ \hline \end{tabular}

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Problem 2113

Salve foit 1 $\text { is) } 10=101+16$
While yous answer wilh if firs, followed by an inequality symbol,

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Problem 2114

Solve the absolute value inequality. Write the answer in interval notation. $|11 x|>0$
Select the correct choice and, if necessary, fill in the answer box in your choice below. A. The solution is $\square$ (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression ) B. There is no solution.

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Problem 2115

Solve for $r$ . $17+7 r \leq 3 r-3$
Write your answer with $r$ first, followed by an inequality symbol.

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Problem 2116

Crown molding is a decorative trim installed over the joint between the walls of a room and the ceiling. (If you are not sure that you understand the idea, do an Internet search to find an example picture of crown molding). Andy intends to install crown molding around the four sides of the dining room. There will be no gaps. The dining room ceiling is a rectangle with dimensions 11 feet 11 inches by 10 feet. The crown molding is sold in 4 -foot lengths that cost $\$ 17$ each. He decides to purchase enough pieces to allow for $10 \%$ waste due to possible mistakes.
Question $17 / 25$
If sales tax is $8.25 \%$ , what is the total cost? \\square$

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Problem 2117

Isabella is going in for a checkup at a large medical clinic. Isabella will meet with one of the 4 physician assistants and be examined by one of the 4 doctors. How many different ways might Isabella have a checkup? $\square$ ways

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Problem 2118

$P=2 L+2 W$ with $P=$ perimeter, $L=$ length, $W=$ width
Question $18 / 25$
Andy's house is on a large lot. He bought 90 yards of chain-link fence on sale. He wants to use all of the material to fence in an area in his backyard. He can only make the fenced area 70 feet wide and he wants it to be as long as possible. What is the longest length possible for the sides? $\square$ ft

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Problem 2119

12. (\ $pts) Find the length of the curve represented by the vector equation$ \vec{r}(t)=\left\langle t^{2},-9 t, 4 t^{\frac{2}{2}}\right\rangle $,$ 0 \leq t \leq 1$

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Problem 2120

\text{Using the chart below, how many total quality points would you receive for an A earned in a 3 credit hour history course?} \\
\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.} \\
\text{Dialogue Transcript:} \\
\text{It seems like we're missing some information from the chart that would tell us how to calculate the quality points for an A in a 3 credit hour history course. Typically, quality points are calculated using a scale (like a 4.0 scale where an A is worth 4 points).} \\
\text{Could you please provide the scale or chart details that indicate how many quality points an A is worth in your course? Once we have that, we'll be able to calculate the total quality points.} \\
2 \\
\text{Based on the extracted text and the dialogue transcript, please rewrite the math problem that the Assistant is helping the user to solve. Rewrite it in LaTeX. Do not omit any portion of the original problem. When you have finished writing the problem, type the special keyword:} \texttt{<|END\_OF\_PROBLEM|>}. \text{Just write the problem, do not write anything else.} \\
\text{Problem in LaTeX format:} \\

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Problem 2121

Evaluate. ${ }_{4} C_{2}=$ $\square$ Submit

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Problem 2122

Solve the absolute value inequality. Write the solution in interval notation. $|x-3|<-9$
Select the correct choice and, it necessary, fill in the answer box in your choice below. A. The solution is $\square$ (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. There is no solution.

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Problem 2123

$z = \ln(-10)$ Express in the form of $z = \ln a + bj$ .

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Problem 2124

Account Dashboard Courses Calendar Inbox History 10 Multiple Choice 3.5 points
A $\$ 30,000$ corporate bond is convertible to 120 shares of the corporation's common stock. What price per share must the corporation's stock be before bondholders would consider converting a bond to the company's common stock? \$50 \$250 \$300 \$30 Next Help

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Problem 2125

Solve the absolute value inequality. Write the solution in interval notation $|x+2|>-2$
Select the correct choice and, if necessary, fill in the answer box in your choice below. A. The solution is $\square$ (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. There is no solution

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Problem 2126

$x+1.5 \geq-2.5$ $-1.5 y-1.5$ $10<x-1$ $\frac{x}{2} \geq-4$
10. $x+11.6<10.6$ $-11.6<-11.6$
12. $\frac{x}{2}<-\frac{7}{2}$
14. $-12<-3 x$

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Problem 2127

Video
Ms. Gregory is hiring teachers for the science department at a new high school. There are 3 biology teachers and 8 chemistry teachers to choose from. For the physics teacher, Turner has 4 options. How many different ways can Ms. Gregory hire a staff that includes one teacher in each subject? $\square$ ways Submit

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Problem 2128

Solve. $\begin{array}{l} x=1 \\ 9 x-2 y=3 \end{array}$

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Problem 2129

Question Show Examples
Select the values that make the inequality $\frac{x}{-4}>-9$ true. Then write an equivalent inequality, in terms of $x$ . (Numbers written in order from least to greatest going across.)
Answer Attempt 2 out of 2 28 32 33 35 36 37 39 40 44 Equivalent Inequality: $x$ $\square$

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Problem 2130

Question 5 (2 points) Apply the One to One Property of Exponents to solve the following exponential equation. Enter either an integer (no decimal) or a fraction in the form a/b. For example, if your answer is $-\frac{1}{4}$ , type $-1 / 4$ . $x=\quad 3^{8-x}=9^{x+1}$ $\square$ A)

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Problem 2131

```latex \text{In the set of stamps below, each stamp costs the same. Decide how much the stamps should cost. Then, find out how much the entire set of stamps cost. Show your work.}
\text{CHALLENGE: Now make up your own set of stamps. Decide how many stamps you want, how they should be arranged, and how much they cost in all. Show your work.} ```

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Problem 2132

What is the perimeter of the trapezoid? $\square$ units

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Problem 2133

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Problem 2134

8.) Given $\overleftrightarrow{P Q} \| \overleftrightarrow{R S}$ , write a mathematical sentence (an equation) to show the relationship between $\angle Q B C$ and $\angle S C B$ . 9.) Solve your equation from \#8 to find the value of $a$ .

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Problem 2135

Question Show Examples
Select the values that make the inequality $-2 y>4$ true. Then write an equivalent inequality, in terms of $y$ . (Numbers written in order from least to greatest going across.)
Answer Attempt 1 out of 2 $-12$ $-7$ -5 $-3$ -2 -1 1 3 8
Equivalent Inequality: $y$ $\square$

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Problem 2136

c. $2-(y+2)=3 y$

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Problem 2137

A factory machine was purchased for $\$ 379000$ on January 1, 2021. It was estimated that it would have a $\$ 80000$ salvage value at the end of its 5 -year useful life. It was also estimated that the machine would be run 35000 hours in the 5 years. The company ran the machine for 3500 actual hours in 2021. If the company uses the units-of-activity method of depreciation, the amount of depreciation expense for 2021 would be

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Problem 2138

Question 7 (1 point) $\lim _{n \rightarrow \infty} \frac{3 n^{3}-5 n}{n^{3}-2 n^{2}+1}$ A. -5 B. -2 C. 1 D. 3

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Problem 2139

Jack's car used 11 gallons to travel 264 miles. How many gallons of gas would he need to travel 48 miles?
Answer Attempt 1 out of 2 $\square$ gallons Submit Answer

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Problem 2140

3 If $\overline{R U}$ is an altitude for $\triangle R S T$ , find $x$ . $x=$

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Problem 2141

1. $7 \frac{2}{3}+8 \frac{5}{6}$ $\qquad$ 2. $4 \frac{3}{4}+2 \frac{2}{5}$
3. $11 \frac{9}{10}+3 \frac{1}{20}$ $\qquad$ 4. $7 \frac{6}{7}+5 \frac{2}{7}$ $\qquad$
5. $5 \frac{8}{9}+3 \frac{1}{2}$ $\qquad$ 6. $21 \frac{11}{12}+17 \frac{2}{3}$ $\qquad$

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Problem 2142

$m \rightarrow \mathrm{~cm} \times 100$
Solve.
1. Tia cut a 4 -meter 8 -centimeter wire into 10 equal pieces. Marta cut a 540 -centimeter wire into 9 equa pieces. How much longer is one of Marta's wires than one of Tia's?

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Problem 2143

The number of bats in a cave decreased by $75 \%$ between last year and this year. Last year there were 60 bats in the cave. What is the population this year?
The number of alligators in a swamp increased by 25\% between last year and this year. Last year there were $\mathbf{5 0}$ alligators in the swamp. What is the population this year?

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Problem 2144

2) Determine the exact value: (6 marks) $\csc 240^{\circ}$ $\cot 120^{\circ}$

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Problem 2145

Listen
Find the measure of each acute angle in a right triangle where the measure of one acute angle is 8 times the measure of the other acute angle.
The smaller acute angles measures $\square$ ${ }^{\circ}$ and the larger acute angle measures $\square$ ${ }^{\circ}$ .

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Problem 2146

shley wants to save money to buy a motorcycle. She invests in an ordinary annuity that earns $4.8 \%$ interest, compounded monthly. Payments will be made at ie end of each month. ow much money will she need to pay into the annuity each month for the annuity to have a total value of $\$ 7000$ after 5 years? ot nound intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the list of financial formulas.

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Problem 2147

Consider the following monthly amortization schedule: \begin{tabular}{|c|c|c|c|c|} \hline Payment \# & Payment & Interest & Debt Payment & Balance \\ \hline 1 & 996.45 & 750.00 & 216.45 & $149,783.55$ \\ \hline 2 & 996.45 & 748.92 & 217.53 & $149,566.02$ \\ \hline 3 & 996.45 & & & \\ \hline \end{tabular}
With the exception of column one, all amounts are in dollars. Calculate the annual interest rate on this loan.

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Problem 2148

Solve using the quadratic formula. $7 d^{2}+4 d=0$
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

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Problem 2149

Solve using the quadratic formula. $3 h^{2}+7 h-2=0$
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

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Problem 2150

7. Evaluate. Express answers in rational form. a) $16^{-1}-2^{-2}$ d) $\left(\frac{1}{5}\right)^{-1}+\left(-\frac{1}{2}\right)^{-2}$

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Problem 2151

Write two mixed numbers that have a sum of 3 .

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Problem 2152

$48 \div \ldots .-.=6$

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Problem 2153

b) (10 marks) Consider the following IVP problem: $\frac{1}{4} y^{\prime \prime}-y^{\prime}+10 y=(2 x-3)^{2} ; y(0)=1 ; y^{\prime}(0)=0$ i. Write the complementary equation for the given equation. ii. Write the auxiliary equation for the equation in part (i), solve it and hence obtain the general solution of the complementary equation. iii. Find a particular solution for the given equation. iv. Write the general solution for the given equation. v. Hence find the solution for the given IVP problem.

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Problem 2154

Find the inflection points of $f(x)=x^{4}+x^{3}-18 x^{2}+4$ .
Enter the exact answers in increasing order. $\begin{array}{l} x=\square \\ x=\square \end{array}$

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Problem 2155

$5 x-2(x-2)=1-9+5 x+7$

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Problem 2156

1. Suppose that the functions $r$ and $s$ are defined as follows: $\begin{array}{c} r(x)=5 x \\ s(x)=2 x-6 \end{array}$
Evaluate each. (a) $(s-r)(x)$ (b) $(s \cdot r)(x)$ (c) $(s+r)(2)$

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Problem 2157

$\text{Given the balanced chemical reaction:}$ $\text{N}_2\text{H}_4 + 2\text{H}_2\text{O}_2 \rightarrow \text{N}_2 + 4\text{H}_2\text{O}$ \text{If 11.1 \text{ mol } \text{N}_2\text{H}_4 is mixed with 1.4 \text{ mol } \text{H}_2\text{O}_2, calculate the following:} $\text{Part 3 of 4: How much } \text{N}_2 \text{ is formed? Answer in units of mol.}$ $\text{Part 4 of 4: How much } \text{H}_2\text{O} \text{ is formed? Answer in units of mol.}$

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Problem 2158

Given $\sec A=-\frac{\sqrt{85}}{7}$ and that angle $A$ is in Quadrant II, find the exact value of $\csc A$ in simplest radical form using a rational denominator.

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Problem 2159

Unit Rates for Ratios with Fractions, Part 2 - Instruction - Clever I Partal
Kara's family is thinking about renting an SUV that can travel $6 \frac{2}{3}$ miles on $\frac{1}{6}$ gallon of gas. Kara wants to know the gas mileage of the SUV.
What is the SUV's gas mileage in miles per gallon? $\frac{\frac{20}{3}}{\frac{1}{6}}=$ $\square$

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Problem 2160

5 Convertis en ha et fais le total. $\left\{\begin{array}{lll} 4 \mathrm{hm}^{2} 3 \mathrm{dam}^{2}=19,50 \mathrm{hm}^{2}= & 72 \mathrm{hm}^{2} \\ 1522,9 \mathrm{dam}^{2}=3558 \mathrm{a} 9 \mathrm{ca}= & 10 \mathrm{~km} \\ 3 \mathrm{~km}^{2} 250 \mathrm{~m}^{2}= & 25504 \mathrm{~m}^{2}= & 85 \mathrm{a} 8 \\ \text { Total }=\ldots . \text { ha }^{2} \text { Total }=\ldots . \mathrm{ha} & \text { Total } \end{array}\right.$

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Problem 2161

40. Solve right $\triangle F U N$ where $\mathrm{m} \angle F=52^{\circ}$ and $\mathrm{f}=10$ .

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Problem 2162

Mia buys a 5-pound bag of flour. Now the bag weighs 4 pounds. Write the amount of flour left as a fraction, decimal, and percent.

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Problem 2163

A turtle travels $\frac{5}{12}$ mile in $\frac{1}{3}$ hour and a snail travels $\frac{1}{8}$ mile in $\frac{3}{4}$ hour. Which animal is faster? The turtle's rate is greater than 1 mile per hour.
The snail's rate is less than 1 mile per hour.
Find the turtle's speed in miles per hour.
The turtle's speed is mile(s) per hour.

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Problem 2164

An engineer is designing a circular cover for a can. The diameter $d$ of the cover is to be 2.6 inches. The maximum error in the diameter of the can is restricted to 0.005 inches, so an acceptable diameter $d$ must satisty the absolute value inequality $|\mathrm{d}-26| \leq 0.005$ . Solve this inequality for d and interpret the result.
What are the limits for d? $2.595 \leq d \leq 2605$ $d \leq 2605$ $d \leq 2595$ or $d \geq 2605$ $-0.005 \leq d \leq 0.005$

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Problem 2165

DIO DEEPER You can read 12 pages of a book in 15 minutes. How many hours will it take you to read a 312 -page book?

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Problem 2166

1. Differentiate: $y=5^{\left(x^{2}-1\right)}$ A. $x^{2}(\ln 5)\left(5^{x^{2}-1}\right)$ B. $(\ln 5) 5^{\left(x^{2}-1\right)}$ C. $(2 x) 5^{\left(x^{2}-1\right)}$ D. $2 x(\ln 5)\left(5^{x^{2}-1}\right)$
2. Find $\frac{d y}{d x}$ if $y=e^{\cos \sqrt{x}}$ A. $(-\sin \sqrt{x}) e^{\cos \sqrt{x}}$ B. $\frac{-e^{\sin \sqrt{x}}}{2 \sqrt{x}}$ C. $\frac{-\sin \sqrt{x}}{2 \sqrt{x}}\left(e^{\cos \sqrt{x}}\right)$ D. $\left(-\frac{1}{2} \sin \sqrt{x}\right) e^{\cos \sqrt{x}-1}$
3. Find $f^{\prime}(x)$ for $f(x)=\sqrt{7+e^{4 x}}$ A. $\frac{1}{2 \sqrt{2 e^{2 x}}}$ B. $\frac{2 e^{4 x}}{\sqrt{7+e^{4 x}}}$ C. $\frac{5+e^{2 x}}{\sqrt{5+e^{2 x}}}$ D. $\frac{x e^{2 x-1}}{\sqrt{5+e^{2 x}}}$

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Problem 2167

One rectangle is "framed" within another. Find the area the shaded region if the "frame" is 1 unit wide.

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Problem 2168

(22) Solve the following linear Diophantine equations: (i) $56 x+72 y=40$ . (ii) $221 x+91 y=117$ . (iii) $2378 x+1769 y=214$ . (iv) $242 x+338 y=18$ .

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Problem 2169

6) (7 marks) In $\triangle A B C$ , determine $\angle A$ to the nearest degree if $a=55 \mathrm{~cm} ; b=26 \mathrm{~cm}$ , and $c=32 \mathrm{~cm}$ .

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Problem 2170

Which equation is correctly rewritten to solve for $y$ ? $12 y+d=-19 y+t$ A. $y=31(t-d)$ B. $y=\frac{t-d}{31}$ C. $y=\frac{t+d}{-7}$ D. $y=-7(t+d)$

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Problem 2171

$\begin{array}{l}\text { 5) } x+6 y=-6 \\ 2 x+7 y=-12\end{array}$

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Problem 2172

Name Anahi
8. Find $\frac{d y}{d x}$ for $y=\arccos \left(\frac{x}{3}\right)$ A. $\frac{-3}{\sqrt{x^{2}-9}}$ B. $\frac{-1}{\sqrt{9-x^{2}}}$ C. $\frac{-x}{\sqrt{9-x^{2}}}$ D. $\frac{3}{\sqrt{9-x^{2}}}$
9. If $f(x)=e^{5 x}$ , then $\left(f^{-1}\right)^{\prime}(x)=$ A. $\frac{1}{5 x}$ B. $\frac{1}{e^{5 x}}$ C. $\frac{1}{5 e^{5 x}}$ D. $-\frac{2}{e^{5 x}}$
Use the table below to answer question 10. \begin{tabular}{|c|c|c|c|c|c|c|} \hline $x$ & $F(x)$ & $F^{\prime}(x)$ & $F^{\prime \prime}(x)$ & $G(x)$ & $G^{\prime}(x)$ & $G^{\prime \prime}(x)$ \\ \hline 2 & 6 & 4 & 7 & -5 & 3 & 10 \\ \hline 5 & 2 & -4 & -2 & -3 & 2 & -4 \\ \hline \end{tabular}
10. If $H(x)=G(F(x))$ , then $H^{\prime}(5)=$ A. 40 B. -6 C. -14 D. -12

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Problem 2173

10. Luisa wants to use place-value blocks to show $367+215$ . How many tens blocks will she need to show the sum by regrouping?
A 9 B. 8
C 7 D 6

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Problem 2174

1. A restaurant supply store has 211 large bags of flour, 166 medium bags of flour, and 228 small bags of flour in stock. How many bags of flour does the store have?
A 595 B 596 C 605 D 705

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Problem 2175

6. Select all the points which are relativA function. a. Point $A$ b. Point $B$ c. Point $C$ d. Point $D$ e. Point $E$ f. Point $F$ g. Point $G$
7. What are the $x$ -intercepts of the graph of $y=(3 x+8)(5 x-3)(x-1)$ ?

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Problem 2176

Subtract. Be careful on these. $\begin{array}{ll} -3++7=4 & 6--8= \\ 5--9= & 6-8= \\ 8--3= & -6--8= \\ -6--4= & -6-8= \\ -9--6= & \end{array}$ $10--5=$
As you can see, subtraction prob it to an adding $p$ $-10--5=$ to remember to the second nur $\begin{array}{r} 2--9= \\ -2--9= \end{array}$
If $a$ and then

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Problem 2177

\begin{tabular}{rrrr} $4-2=$ & $5--3=$ & $-3-4=$ & $-6-2=$ \\ $-6--3=$ & $4-5=$ & $-3--7=$ & $7-6=$ \\ $8--5=$ & $-9--2=$ & $-2-7=$ & $8-4=$ \\ $-5--3=$ & $5-9=$ & $2--7=$ & $9--7=$ \\ $-8-8=$ & $-5--8=$ & $1-9=$ & $-7--7=$ \\ $8--3=$ & $-9-4=$ & $-8--3=$ & $7-9=$ \\ $-6--5=$ & $10--8=$ & $-12--4=$ & $-11-5=$ \\ $12--6=$ & $11--2=$ & $0-5=$ & $-1-1=$ \\ $-11-0=$ & $13--9=$ & $-15--6=$ & $17--8=$ \\ $-16-7=$ & $-13-5=$ & $18--9=$ & $-14-14=$ \\ $14--5=$ & $8-9=$ & $4-8=$ & $0--6=$ \\ $-10-10=$ & $-1--8=$ & $7-7=$ & $-14--4=$ \end{tabular}

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Problem 2178

3. Carpet costs $\$ 16$ a square foot. A rectangular floor is 16 feet long by 14 feet wide. How much would it cost to carpet the floor?

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Problem 2179

Subtract. (Remiember... add the opposite of the bottom number.) \begin{tabular}{r} -5 \\ --6 \\ \hline \end{tabular} \begin{tabular}{r} 6 \\ - \end{tabular} $-$ \begin{tabular}{r} 2 \\ $-\quad 6$ \\ \hline \end{tabular}
O1990 by Key Curtaulum Projec, Inc. O1990 by Key Curnculum Projec, Inc Do not duplicate without permission.

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Problem 2180

12. Find the square root of (a) $5+12 i$

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Problem 2181

A rectangle has its base on the $x$ -axis and its upper two vertices on the parabola $y=49-x^{2}$ . What is the largest possible area (in squared units) of the rectangle? $\square$ squared units

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Problem 2182

A slide is 7 feet long and 4 feet high. How long is its base, from the bottom of the ladder to the end of the slide? If necessary, round to the nearest tenth. $\square$ feet

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Problem 2183

Philip bicycles 5 miles west to get from his house to school. After school, he bicycles 8 miles north to his friend Dan's house. How far is Philip's house from Dan's house, measured in a straight line? If necessary, round to the nearest tenth. $\qquad$ miles

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Problem 2184

Question 4 (2 points) Apply the One to One Property of Logarithms to solve each of the following exponential equations for x . $\square$ $2^{x}=3$ $\square$ $2^{x+1}=3$
1. $\log _{2}(3)$ $\square$ $3^{x+2}=2$
2. $\log _{2}(3)-1$
3. $\log _{3}(2)-2$

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Problem 2185

2) $8(x+2)$ when $x=6$

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Problem 2186

$1 \quad \mathrm{H}_{2}+1 \quad \mathrm{I}_{2} \rightarrow 2$
If $5.7 \times 10^{23}$ particles of $\mathrm{I}_{2}$ are reacted, how many grams of HI (molar mass $\left.127.91 \mathrm{~g} / \mathrm{mol}\right)$ will be produced? $\square$ grams of HI

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Problem 2187

$\mathrm{H}_{2}+\mathrm{CO}_{2} \rightarrow \mathrm{H}_{2} \mathrm{O}+\mathrm{CO}$
If 48.87 liters of $\mathrm{H}_{2}$ are reacted, how many liters of $\mathrm{CO}_{2}$ will also be reacted at STP? $\square$ liters of $\mathrm{CO}_{2}$

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Problem 2188

From a standard 52-card deck, how many five-card hands consist of one card of one denomination, one card of another denomination, and three cards of a third denomination?
The number of possible hands is $\qquad$ . (Simplify your answer.)

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Problem 2189

If there is a $0.8 \%$ chance that none of the books you would like to check out of the library are available, what is the probability that at least one of the books you want is available? Round to 1 decimal place as needed. Be sure to convert to \% and include your \% in the answer.
Your Answer: $\square$ Answer $\square$ units

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Problem 2190

Let $x$ be a continuous random variable that follows a normal distribution with a mean of 200 and a standard deviation of 25 . Find the value of $x$ so that the area under the normal curve to the right of $x$ is 0.7967 .
Round your answer to two decimal places. $x=$ $\square$

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Problem 2191

14. If $o\left(E^{\prime}\right)=9: 11$ , find $p(E)$ .
15. Find the probability of choosing 7 winning spots in nine-spot keno.

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Problem 2192

Find a vector a with representation given by the directed line segment $\overrightarrow{A B}$ . $A(-5,1), \quad B(2,4)$

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Problem 2193

Ronnie $\begin{array}{ccccc} 2 & 3 & -6 & -5 & 10 \\ 1 & 6 & 0 & -10 \\ \hline 3 & 0 & -5 & \end{array}$

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Problem 2194

Use the following information to answer the next question The power rating of a particular dynamic electronic circuit is given by the equation $P=1-w^{-0.246 t}$ where $P$ is the power rating, $t$ is the amount of time since the circuit is switched on and $w$ is a constant.
2. After the circuit has been operational for 43 seconds, the power rating is 0.83 . The value of $w$ , to the nearest hundredth, is A. 0.09 B. 0.25 C. 1.18 D. 10.58

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Problem 2195

Find the measure of angle $C$ .
The measure of angle $C$ is $\square$

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Problem 2196

$\frac{b+3}{e} = \frac{f}{2}$ solve for $e$

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Problem 2197

Attempt 2: 2 attempts remaining.
Calculate the line integral $\int_{C} \frac{x y^{2}}{32} d s$ with respect to arc length over a curve $C$ that is the lower half of the circle $x^{2}+y^{2}=16$ .
The curve $C$ can be written with parametric equations $x(t)=4 \cos t \quad \text { and } y(t)=4 \sin t \quad \text { for } \pi \leq t \leq 2 \pi$
The resulting parameterized form of the line integral is $\int_{t_{1}}^{t_{2}} f(t) d t$ where $t_{1}=\pi$

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Problem 2198

\begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ $f(x)=2 x+6$ } \\ \hline $x$ & $f(x)$ \\ \hline 0 & $\square$ \\ \hline 1 & $\square$ \\ \hline 2 & $\square$ \\ \hline \end{tabular}
Click to select points on the graph.

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Problem 2199

$\frac{y}{c}=\frac{-5}{3 y+23}$

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Problem 2200

Consider the following two lines: Line 3: $y=-\frac{2}{3} x-3$ Line 4: $x=-\frac{3}{2} y-10$ The slope of Line 3 is: $m=$ $\square$ The slope of Line 4 is: $m=$ $\square$ Finally, which of the following is true? Select an answer

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Solve

Problem 2101

−7x+6y=00.5x+y=2\begin{array}{l}-7 x+6 y=0 \\ 0.5 x+y=2\end{array}−7x+6y=00.5x+y=2​

Problem 2102

Show ExamplesQuestion What is the equation of the line that passes through the point (−6,−3)(-6,-3)(−6,−3) and has a slope of −16-\frac{1}{6}−61​ ?Answer Attempt 1 out of 2

Problem 2103

Show ExamplesQuestion What is the equation of the line that passes through the point (6,2)(6,2)(6,2) and has a slope of 13\frac{1}{3}31​ ?

Problem 2104

Part A: Rachel used 4124 \frac{1}{2}421​ cups of apple juice in a holiday fruit punch that serves 12 people. How many cups of apple juice does Rachel use per person?

Problem 2105

Solve for bbb. 4≥b64 \geq \frac{b}{6}4≥6b​

Problem 2106

Determine the molarity of a solution formed by dissolving 188.2 g LiBr in enough water to yield 574.7 mL of solution.

Problem 2107

Evaluate. ∫e8xdx∫e8xdx=\begin{array}{c} \int e^{8 x} d x \\ \int e^{8 x} d x= \end{array}∫e8xdx∫e8xdx=​ □\square□

Problem 2108

Find the distance between the two points in simplest radical form.

Problem 2109

Problem 2110

QUESTION 3 ⋅\cdot⋅ 1 POINTWhat value of xxx makes the equation 3(x−5)=27(x+4)3^{(x-5)}=27^{(x+4)}3(x−5)=27(x+4) true? Do not include " x=x=x= " in your answer. (Express your answer as a decimal, if necessary.)

Problem 2111

What is the surface area of the cone? SA=πrs+πr2S A=\pi r s+\pi r^{2}SA=πrs+πr2Surface Area:

Problem 2112

Problem 2113

Salve foit 1 is) 10=101+16\text { is) } 10=101+16 is) 10=101+16While yous answer wilh if firs, followed by an inequality symbol,

Problem 2114

Problem 2115

Solve for rrr. 17+7r≤3r−317+7 r \leq 3 r-317+7r≤3r−3Write your answer with rrr first, followed by an inequality symbol.

Problem 2116

Problem 2117

Isabella is going in for a checkup at a large medical clinic. Isabella will meet with one of the 4 physician assistants and be examined by one of the 4 doctors. How many different ways might Isabella have a checkup? □\square□ ways

Problem 2118

Problem 2119

12. (\pts)Findthelengthofthecurverepresentedbythevectorequationpts) Find the length of the curve represented by the vector equation pts)Findthelengthofthecurverepresentedbythevectorequation\vec{r}(t)=\left\langle t^{2},-9 t, 4 t^{\frac{2}{2}}\right\rangle,, ,0 \leq t \leq 1$

Problem 2120

Problem 2121

Evaluate. 4C2={ }_{4} C_{2}=4​C2​= □\square□ Submit

Problem 2122

Problem 2123

z=ln⁡(−10)z = \ln(-10)z=ln(−10) Express in the form of z=ln⁡a+bj z = \ln a + bj z=lna+bj.

Problem 2124

Problem 2125

Problem 2126

Problem 2127

Problem 2128

Solve. x=19x−2y=3\begin{array}{l} x=1 \\ 9 x-2 y=3 \end{array}x=19x−2y=3​

Problem 2129

Problem 2130

Problem 2131

Problem 2132

What is the perimeter of the trapezoid? □\square□ units

Problem 2133

Problem 2134

8.) Given PQundefined∥RSundefined\overleftrightarrow{P Q} \| \overleftrightarrow{R S}PQ​∥RS, write a mathematical sentence (an equation) to show the relationship between ∠QBC\angle Q B C∠QBC and ∠SCB\angle S C B∠SCB. 9.) Solve your equation from \#8 to find the value of aaa.

Problem 2135

Problem 2136

c. 2−(y+2)=3y2-(y+2)=3 y2−(y+2)=3y

Problem 2137

Problem 2138

Question 7 (1 point) lim⁡n→∞3n3−5nn3−2n2+1\lim _{n \rightarrow \infty} \frac{3 n^{3}-5 n}{n^{3}-2 n^{2}+1}n→∞lim​n3−2n2+13n3−5n​ A. -5 B. -2 C. 1 D. 3

Problem 2139

Jack's car used 11 gallons to travel 264 miles. How many gallons of gas would he need to travel 48 miles?Answer Attempt 1 out of 2 □\square□ gallons Submit Answer

Problem 2140

3 If RU‾\overline{R U}RU is an altitude for △RST\triangle R S T△RST, find xxx. x=x=x=

Problem 2141

Problem 2142

m→ cm×100m \rightarrow \mathrm{~cm} \times 100m→ cm×100Solve.1. Tia cut a 4 -meter 8 -centimeter wire into 10 equal pieces. Marta cut a 540 -centimeter wire into 9 equa pieces. How much longer is one of Marta's wires than one of Tia's?

Problem 2143

Problem 2144

2) Determine the exact value: (6 marks) csc⁡240∘\csc 240^{\circ}csc240∘ cot⁡120∘\cot 120^{\circ}cot120∘

Problem 2145

ListenFind the measure of each acute angle in a right triangle where the measure of one acute angle is 8 times the measure of the other acute angle.The smaller acute angles measures □\square□ ∘{ }^{\circ}∘ and the larger acute angle measures □\square□ ∘{ }^{\circ}∘.

Problem 2146

Problem 2147

Problem 2148

Solve using the quadratic formula. 7d2+4d=07 d^{2}+4 d=07d2+4d=0Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

Problem 2149

Solve using the quadratic formula. 3h2+7h−2=03 h^{2}+7 h-2=03h2+7h−2=0Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

Problem 2150

7. Evaluate. Express answers in rational form. a) 16−1−2−216^{-1}-2^{-2}16−1−2−2 d) (15)−1+(−12)−2\left(\frac{1}{5}\right)^{-1}+\left(-\frac{1}{2}\right)^{-2}(51​)−1+(−21​)−2

$\begin{array}{l}-7 x+6 y=0 \\ 0.5 x+y=2\end{array}$

Show Examples
Question What is the equation of the line that passes through the point $(-6,-3)$ and has a slope of $-\frac{1}{6}$ ?
Answer Attempt 1 out of 2

Show Examples
Question What is the equation of the line that passes through the point $(6,2)$ and has a slope of $\frac{1}{3}$ ?

Part A: Rachel used $4 \frac{1}{2}$ cups of apple juice in a holiday fruit punch that serves 12 people. How many cups of apple juice does Rachel use per person?

Solve for $b$ . $4 \geq \frac{b}{6}$

Evaluate. $\begin{array}{c} \int e^{8 x} d x \\ \int e^{8 x} d x= \end{array}$ $\square$

QUESTION 3 $\cdot$ 1 POINT
What value of $x$ makes the equation $3^{(x-5)}=27^{(x+4)}$ true? Do not include " $x=$ " in your answer. (Express your answer as a decimal, if necessary.)

What is the surface area of the cone? $S A=\pi r s+\pi r^{2}$
Surface Area:

Salve foit 1 $\text { is) } 10=101+16$
While yous answer wilh if firs, followed by an inequality symbol,

Solve for $r$ . $17+7 r \leq 3 r-3$
Write your answer with $r$ first, followed by an inequality symbol.

Isabella is going in for a checkup at a large medical clinic. Isabella will meet with one of the 4 physician assistants and be examined by one of the 4 doctors. How many different ways might Isabella have a checkup? $\square$ ways

12. (\ $pts) Find the length of the curve represented by the vector equation$ \vec{r}(t)=\left\langle t^{2},-9 t, 4 t^{\frac{2}{2}}\right\rangle $,$ 0 \leq t \leq 1$

Evaluate. ${ }_{4} C_{2}=$ $\square$ Submit

$z = \ln(-10)$ Express in the form of $z = \ln a + bj$ .

Solve. $\begin{array}{l} x=1 \\ 9 x-2 y=3 \end{array}$

What is the perimeter of the trapezoid? $\square$ units

8.) Given $\overleftrightarrow{P Q} \| \overleftrightarrow{R S}$ , write a mathematical sentence (an equation) to show the relationship between $\angle Q B C$ and $\angle S C B$ . 9.) Solve your equation from \#8 to find the value of $a$ .

c. $2-(y+2)=3 y$

Question 7 (1 point) $\lim _{n \rightarrow \infty} \frac{3 n^{3}-5 n}{n^{3}-2 n^{2}+1}$ A. -5 B. -2 C. 1 D. 3

Jack's car used 11 gallons to travel 264 miles. How many gallons of gas would he need to travel 48 miles?
Answer Attempt 1 out of 2 $\square$ gallons Submit Answer

3 If $\overline{R U}$ is an altitude for $\triangle R S T$ , find $x$ . $x=$

$m \rightarrow \mathrm{~cm} \times 100$
Solve.
1. Tia cut a 4 -meter 8 -centimeter wire into 10 equal pieces. Marta cut a 540 -centimeter wire into 9 equa pieces. How much longer is one of Marta's wires than one of Tia's?

2) Determine the exact value: (6 marks) $\csc 240^{\circ}$ $\cot 120^{\circ}$

Listen
Find the measure of each acute angle in a right triangle where the measure of one acute angle is 8 times the measure of the other acute angle.
The smaller acute angles measures $\square$ ${ }^{\circ}$ and the larger acute angle measures $\square$ ${ }^{\circ}$ .

Solve using the quadratic formula. $7 d^{2}+4 d=0$
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

Solve using the quadratic formula. $3 h^{2}+7 h-2=0$
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

7. Evaluate. Express answers in rational form. a) $16^{-1}-2^{-2}$ d) $\left(\frac{1}{5}\right)^{-1}+\left(-\frac{1}{2}\right)^{-2}$

$48 \div \ldots .-.=6$

Find the inflection points of $f(x)=x^{4}+x^{3}-18 x^{2}+4$ .
Enter the exact answers in increasing order. $\begin{array}{l} x=\square \\ x=\square \end{array}$

$5 x-2(x-2)=1-9+5 x+7$

1. Suppose that the functions $r$ and $s$ are defined as follows: $\begin{array}{c} r(x)=5 x \\ s(x)=2 x-6 \end{array}$
Evaluate each. (a) $(s-r)(x)$ (b) $(s \cdot r)(x)$ (c) $(s+r)(2)$

Given $\sec A=-\frac{\sqrt{85}}{7}$ and that angle $A$ is in Quadrant II, find the exact value of $\csc A$ in simplest radical form using a rational denominator.

40. Solve right $\triangle F U N$ where $\mathrm{m} \angle F=52^{\circ}$ and $\mathrm{f}=10$ .

(22) Solve the following linear Diophantine equations: (i) $56 x+72 y=40$ . (ii) $221 x+91 y=117$ . (iii) $2378 x+1769 y=214$ . (iv) $242 x+338 y=18$ .

6) (7 marks) In $\triangle A B C$ , determine $\angle A$ to the nearest degree if $a=55 \mathrm{~cm} ; b=26 \mathrm{~cm}$ , and $c=32 \mathrm{~cm}$ .

Which equation is correctly rewritten to solve for $y$ ? $12 y+d=-19 y+t$ A. $y=31(t-d)$ B. $y=\frac{t-d}{31}$ C. $y=\frac{t+d}{-7}$ D. $y=-7(t+d)$

$\begin{array}{l}\text { 5) } x+6 y=-6 \\ 2 x+7 y=-12\end{array}$

10. Luisa wants to use place-value blocks to show $367+215$ . How many tens blocks will she need to show the sum by regrouping?
A 9 B. 8
C 7 D 6

1. A restaurant supply store has 211 large bags of flour, 166 medium bags of flour, and 228 small bags of flour in stock. How many bags of flour does the store have?
A 595 B 596 C 605 D 705