Browse Equation problems Studdy Solved!

Problem 3001

Solve Problems with Percent - Quiz - Level F
After a storm damages the community center, Shanika and her friends hold fundrais events to help pay for repairs. After the first event, they raise $\$ 240$ , which is $10 \%$ of total amount that they want to raise.
What is the total amount of money that Shanika and her friends want to raise?

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Problem 3002

Determine whether the lines are parallel perpendicular or neither. Next, write the slope of each equation. $\begin{array}{c} y=\frac{a}{b} x+c \\ d x-m y=n \end{array}$ $a=4 \quad b=6 \quad c=-10 \quad d=12 \mathrm{~m}=-8 \quad \mathrm{n}=-5$ $y=\frac{4}{6} x-10$ $12 x+8 y=-5$

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Problem 3003

(b) verther circle has its centre on the The points $(7,10)$ and $(12,8)$ are on this circle. Find the equation of this circle. Note that your answer may contain non-integer values.

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Problem 3004

Is there a doctor in the house? A market research firm reported the mean annual earnings of all family practitioners in the United States was $\$ 178,258$ . A random sample of 52 family practitioners in Los Angeles had mean earnings of $\bar{x}=\$ 193,130$ with a standard deviation of $\$ 42,047$ . Do the data provide sufficient evidence to conclude that the mean salary for family practitioners in Los Angeles is greater than the national average? Use the $\alpha=0.10$ level of significance and the $P$ -value method with the TI-84 Plus calculator.
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. $\begin{array}{l} H_{0}: \mu=178,258 \\ H_{1}: \mu>178,258 \end{array}$
This hypothesis test is a $\square$ right-tailed test.
Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to two decimal places. $t=2.55$
Part: $2 / 5$
Part 3 of 5 (c) Compute the $P$ -value. Round the answer to at least four decimal places. $P \text {-value }=$ $\square$ Start over

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Problem 3005

In circle G, $r=3$ units. Maria draws a circle with double the area of circle $G$ .
What is the area of Maria's circle? $6 \pi$ units $^{2}$ $9 \pi$ units $^{2}$ $12 \pi$ units $^{2}$ $18 \pi$ units $^{2}$

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Problem 3006

Multiply and simplify. $\begin{array}{l} (\sqrt{x}-\sqrt{2})(\sqrt{x}+\sqrt{2})= \\ (\sqrt{x}+2 \sqrt{2})^{2}= \end{array}$

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Problem 3007

8. While forming a 1.50 kg aluminum statue, a metal smith heats the aluminum to $2700^{\circ} \mathrm{C}$ , pours it into a mould, and then cools it to a room temperature of $23.0^{\circ} \mathrm{C}$ . Calculate the thermal energy released by the aluminum during the process.

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Problem 3008

$(\sqrt{x}-\sqrt{2})^{2}=$

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Problem 3009

d) $(2 x+3)^{\wedge} 2=4 x^{\wedge} 2$ e) $(x+1) / 2=-3$

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Problem 3010

8) What is the pressure (in atm) of a 3.00 L gas vessel that has 18.0 grams of helium at $25^{\circ} \mathrm{C}$ ? A) 147 B) 36.7 C) 32.6 D) 1.81 9) Consider the reaction: $\mathrm{PCl}_{3}(\mathrm{~g})+\mathrm{Cl}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{PCl}_{5}(\mathrm{~g})$ .
If $\left[\mathrm{PCl}_{3}\right]=0.78 \mathrm{M},\left[\mathrm{Cl}_{2}\right]=0.44 \mathrm{M}$ , and $\left[\mathrm{PCl}_{5}\right]=0.88$ at equilibrium, what is the value of K ? C) 2.6 D) 0.72 A) 0.39 B) 1.4

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Problem 3011

Anna Washburn 11/17/24 4:32 PM Question 8 of 8 This quiz: 8 point(s) possible This question: 1 point(s) possible Submit quiz
Conduct a full hypothesis test and determine if the given claim is supported or not supported at the 0.05 significance level. Round all amounts and standard scores to two decimal places. A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean different from the 600 milligrams claimed by the manufacturer. The mean acetaminophen content $f$ a random sample of 46 tablets is 603.3 milligrams. Test whether the claim that the mean amount of acetaminophen is different from 600 milligrams is supported or not supported. Assume that the population standard deviation is 4.9 milligrams. not supported supported

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Problem 3012

Solve the equation. $\begin{array}{c} 2 z+6=5 z \\ z=\square \end{array}$

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Problem 3013

7. A box contains bags of nails. Each bag has 24 nails. There are 960 nails in the box. How many bags are in the box?

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Problem 3014

8. Analyze a Problem Find the
1 missing digits.

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Problem 3015

4.2 To irrigate a soccer field, a special cylindrical watercart is used. The tank is $3,5 \mathrm{~m}$ long and has a diameter of 200 cm .
Refer to the picture and information above to answer the questions that follow. 4.2.1 Calculate the amount of water (in litres) when the water tank is full.
You may use the following formula: Volume $=\pi \times(\text { radius })^{2} \times$ length Use: $\boldsymbol{\pi}=3,142$ Also note that: $1000 \mathrm{~cm}^{3}=1$ litre and $1 \mathrm{~m}^{3}=1000$ litres 4.2.2 The water tank is made of a metal sheet. Calculate the amount (in square metres) of metal used to make a water tank. Round your answer to two decimal places. You may use the formula: Surface area $=2 \times \pi \times$ radius (radius + length) Use: $\pi=3,142$

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Problem 3016

Question SWITCH years will it take for the size at a rate of $0.5 \%$
Provide your answer below:

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Problem 3017

7. Solve each of the following proportions for the variable. Show your work. (a) $\frac{m}{120}=\frac{35}{100}$ (b) $\frac{119}{t}=\frac{68}{100}$

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Problem 3018

L. 6 Slope-intercept form: write an equation A42
A line has a slope of 2 and a $y$ -intercept of $\frac{5}{8}$ . Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest forn $\square$ Submit

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Problem 3019

One year Chris had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 3.21. Also, Nina had the lowest ERA of any female pitcher at the school with an ERA of 2.51. For the males, the mean ERA was 5.015 and the standard deviation was 0.653 . For the females, the mean ERA was 4.539 and the standard deviation was 0.835 . Find their respective $z$ -scores. Which player had the better year relative to their peers, Chris or Nina? (Note: In general, the lower the ERA, the better the pitcher.)
Chris had an ERA with a z-score of $\square$ $\square$ . Nina had an ERA with a z-score of $\square$ . (Round to two decimal places as needed.) Which player had a better year in comparison with their peers? A. Nina had a better year because of a lower $z$ -score. B. Nina had a better year because of a higher $z$ -score. C. Chris had a better year because of a lower $z$ -score. D. Chris had a better year because of a higher $z$ -score.

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Problem 3020

L. 6 Slope-intercept form: write an equation A42 You
A line has a slope of 6 and passes through the point $(-2,-16)$ . Write its equation in slopeintercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$

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Problem 3021

```latex \begin{tabular}{l|l|l} \text{multi-step equation and explain.} & \\ \hline \text{A. 1} & \begin{tabular}{l} \text{I can solve linear equations with rational} \\ \text{coefficients} \end{tabular} & \text{8. EE. 7} \end{tabular}

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Problem 3022

L. 6 Slope-intercept form: write an equation A42 You
A line passes through the points $(4,18)$ and $(9,18)$ . Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ Submit

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Problem 3023

Algebra 1 L. 6 Slope-intercept form: write an equation A42
A line passes through the points $(-11,10)$ and $(14,-10)$ . Write its equation in slopeintercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ Submit

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Problem 3024

A line has a slope of 0 and passes through the point $(10,6)$ . Write its equation in slopeintercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ Submit

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Problem 3025

Learn with an example or Watch a video
Graph this line: $y-6=2(x+4)$
Click to select points on the graph. Submit

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Problem 3026

Buscar 5:22 p.m. Dom nov 17
Graph this line: $y-6=-\frac{1}{3}(x+3)$
Click to select points on the graph. Submit

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Problem 3027

Graph this line: $y+5=\frac{1}{5}(x+6)$
Click to select points on the graph. Submit

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Problem 3028

Graph this line: $y+2=2(x+4)$
Click to select points on the graph.

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Problem 3029

Given below are the number of successes and sample size for a simple random sample from a population. $x=7, n=50,99 \% \text { level }$ a. Determine the sample proportion. b. Decide whether using the one-proportion z-interval procedure is appropriate. c. If appropriate, use the one-proportion z-interval procedure to find the confidence interval at the specified confidence level. d. If appropriate, find the margin of error for the estimate of $p$ and express the confidence interval in terms of the sample proportion and the margin of error. a. $\hat{p}=0.14$ (Type an integer or a decimal. Do not round.) b. Is the one-proportion z-interval procedure appropriate? Select all that apply. A. The procedure is appropriate because the necessary conditions are satisfied. B. The procedure is not appropriate because $x$ is less than 5 . C. The procedure is not appropriate because $n-x$ is less than 5 . D. The procedure is not appropriate because the sample is not a simple ramom sample. c. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. A. The $99 \%$ confidence interval is from .0135 to .2665 . (Round to three decimal places as needed. Use ascending order.) B. The one-proportion z-interval procedure is not appropriate.

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Problem 3030

ixl.com
Graph this line: $y-1=-\frac{1}{3}(x+7)$
Click to select points on the graph. Submit

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Problem 3031

2. Ms. Vizzari purchased 972 square yards of carpet for $\$ 17,496$ . What was her cost per square foot? (A) $\$ 18.00$ (B) $\$ 9.75$ (C) $\$ 6.00$ (D) $\$ 2.00$ (E) $\$ 1.25$

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Problem 3032

$-2+25 x+17=-35$

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Problem 3033

2. $[-/ 2$ Points]
DETAILS MY NOTES MENDSTAT15 8.2.010. ASK YOUR TEACHER
PRACTICE ANOTHER Calculate the $95 \%$ margin of error in estimating a population mean $\mu$ for the following values. (Round your answer to three decimal places.) $n=7,000, s^{2}=64$ $\qquad$ Consider that for $s^{2}=64$ and sample sizes of 50,100, and 500 the margins of error are 2.217, 1.568, and 0.701 respectively. Comment on how an increased sample size affects the margin of error. As the sample size increases the margin of error decreases. As the sample size increases the margin of error remains relatively constant. As the sample size increases the margin of error also increases. You may need to use the appropriate appendix table or technology to answer this question. Need Help? Read it Submit Answer
3. [-/1 Points $]$
DETAILS MY NOTES MENDSTAT15 8.3.003.S. ASK YOUR TEACHER PRACTICE ANOTHER

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Problem 3034

13. Taxi fare is $\$ 1.00$ for the first $\frac{1}{2}$ mile and $\$ 0.35$ for each additional $\frac{1}{2}$ mile. How many miles can a passenger ride for $\$ 3.10$ ? (A) $3 \frac{1}{2}$ (B) 4 (C) $6 \frac{1}{2}$ (D) 7 (E) $7 \frac{1}{2}$

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Problem 3035

ixl.com
Write the equation of this line in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$

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Problem 3036

In a multiple linear regression of $E\left(Y \mid X_{1}=x_{1}, X_{2}=x_{2}\right)=a+b_{1} x_{1}+b_{2} x_{2}$ , we get a table of coefficients like this:
Coefficient Value a $2.0$ $b_{1}$ -1 $b_{2}$ 0.5
Consider two groups that have the following characteristics: - The same values of $X_{2}$ - Group A has $X_{1}=2$ - Group B has $X_{1}=1$
Let $E(Y \mid A)$ be the average of $Y$ within group A, and $E(Y \mid B)$ be the average of $Y$ within group B.
According to this model, which group has the larger conditional mean of $Y$ ? Group A Group B They are the same. We cannot answer without knowing the value of $X_{2}$ .

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Problem 3037

8. Using a calculator, determine the solutions for each equation, to two decimal places, on the interval $0 \leq x \leq 2 \pi$ . a) $3 \sin x=\sin x+1$ c) $\cos x-1=-\cos x$ b) $5 \cos x-\sqrt{3}=3 \cos x$ d) $5 \sin x+1=3 \sin x$

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Problem 3038

Graph this line: $y-5=-(x+3)$
Click to select points on the graph.

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Problem 3039

A house was valued at $\$ 125,000$ in the year 1990 . The value appreciated to $\$ 160,000$ by the year 2001. A) What was the annual growth rate between 1990 and 2001? $r=$ $\square$ Round the growth rate to 4 decimal places. B) What is the correct answer to part A written in percentage form? $r=\square \%$ C) Assume that the house value continues to grow by the same percentage. What will the value equal in the year 2005? value $=\$$ $\square$

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Problem 3040

Graph this line: $y-2=\frac{1}{2}(x+7)$
Click to select points on the graph. Silhmit Practice in the app

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Problem 3041

15. The average time for each leg of a five-leg road race took Bob three hours and thirty-six minutes. How long did it take Bob to complete the race? (A) 12 hours and 20 minutes (B) 13 hours (C) 16 hours and 16 minutes (D) 18 hours (E) 19 hours and 12 minutes

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Problem 3042

Graph this line: $y-2=-\frac{1}{5}(x+2)$
Click to select points on the graph. Submit Practice in the app

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Problem 3043

Solve the equation: $\log _{2}(x-1)=3$

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Problem 3044

b) $8^{x+1}=16^{x-2}$

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Problem 3045

ixl.com
Graph this line: $y+6=-\frac{2}{7}(x-2)$
Click to select points on the graph. Submit Practice in the app

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Problem 3046

The coordinates of the endpoints of $\overline{C D}$ are $C(-7,9)$ and $D(8,-6)$ . Point $E$ is on $\overline{C D}$ and divides it such that $C E: D E$ is $2: 3$ .
What are the coordinates of $E$ ? Write your answers as integers or decimals. $\square$ , $\square$ Submit

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Problem 3047

Buscar 5:52 p.m. Dom nov 17 ixl.com
Graph this line: $y+2=3(x-6)$
Click to select points on the graph. Submit Work it out Practice in the app

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Problem 3048

Consider a triangle $A B C$ like the one below. Suppose that $a=48, b=67$ , and $c=22$ . (The figure is not drawn to scale.) Solve the triangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth. If there is more than one solution, use the button labeled "or". $A=$ $\square$ $\square^{\circ}, B=$ $\square$ $]^{\circ}, C=$ $\square$ 。 a No solution

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Problem 3049

ixl.com
Write the equation of this line in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ DI. Practice in the app

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Problem 3050

The coordinates of the endpoints of $\overline{S T}$ are $S(10,2)$ and $T(17,16)$ . Point $U$ is on $\overline{S T}$ and divides it such that $S U: T U$ is $2: 5$ .
What are the coordinates of $U$ ? Write your answers as integers or decimals. $\square$ $\square$ Submit

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Problem 3051

It is possible to determine the ionization energy for hydrogen using the Bohr equation. Calculate the ionization energy (in kJ) for a mole of hydrogen atoms, making the assumption that ionizatio the transition from $n=1$ to $n=\infty$ . $7.62 \times 10^{3} \mathrm{~kJ}$ $5.33 \times 10^{9} \mathrm{~kJ}$ $3.62 \times 10^{3} \mathrm{~kJ}$ $2.76 \times 10^{9} \mathrm{~kJ}$ $1.31 \times 10^{3} \mathrm{~kJ}$ Submil Previous Answers RequestAnswer
X Incorrect; Try Again; 5 attempts remaining (1) Al Study Tools

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Problem 3052

Graph this line using the slope and $y$ -intercept: $y=8 x+1$
Click to select points on the graph.

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Problem 3053

Buscar ixl.com
Graph this line using the slope and $y$ -intercept: $y=\frac{1}{6} x+2$
Click to select points on the graph. Submit

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Problem 3054

People walking on the street were asked if they sang in the shower. The number of people who said yes was 111 and no was 200. Find the probability that if a person is chosen at random, they sing in the shower. Round your answer to two decimal places. $\square$
Submit Question

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Problem 3055

Graph this line using the slope and $y$ -intercept: $y=\frac{1}{9} x+4$
Click to select points on the graph.

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Problem 3056

(B) The functions $j$ and $k$ are given by $\begin{array}{l} j(x)=2(\sin x)(\cos x)-\cos x \\ k(x)=8 e^{(3 x)}-e \end{array}$ (i) Solve $j(x)=0$ for values of $x$ in the interval $\left[0, \frac{\pi}{2}\right]$ .

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Problem 3057

Find the length of the two missing sides in the parallelogram below.
Answer Attempt 1 out of 2 $\square$ $x=\square \quad y=\square$ Submit Answer

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Problem 3058

Solve and reduce the result to lowest fractional terms. Input answer as a fraction, not a decimal. Sandy can assemble a particular type of light fixture in $\frac{5}{6}$ hour. It takes her $\frac{1}{3}$ hour to hang the fixture, and another $\frac{1}{2}$ hour to wire the fixture once it is hung. How many fixtures could Sandy install in 10 hours?

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Problem 3059

We wish to solve the equation $4 x^{3}-10 x^{2}+2 x+4=0$
This can be rearranged to $x=\frac{-4 x^{3}+10 x^{2}-4}{2}$
Starting with $x_{0}=1$ , use the iteration formula $x_{n+1}=\frac{-4\left(x_{n}\right)^{3}+10\left(x_{n}\right)^{2}-4}{2}$ to find the value of $x_{3}$ . Give your answer correct to 3 decimal places.

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Problem 3060

Write the equation in its equivalent exponential form. $5=\log _{6} M$

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Problem 3061

You measure 36 randomly selected textbooks' weights, and find they have a mean weight of 76 ounces. Assume the population standard deviation is 10 ounces. Based on this, construct a $95 \%$ confidence interval for the true population mean textbook weight.
Give your answers as decimals, to two places

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Problem 3062

Find the length of the three missing sides in the rhombus below.
Answer Attempt 1 out of 2 $x=\square \quad y=\square \quad z=\square$

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Problem 3063

Solve the following: $84.92-26.4=$

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Problem 3064

Given rectangle QRST below. If $R U=41$ , find $Q S$ .
Answer Attempt 1 out of 2 $Q S=$ $\square$ Submit Answer

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Problem 3065

The perimeter of a rectangle is 150 cm . The length is 15 cm greater than the width. Find the dimensions.

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Problem 3066

A horse and a saddle cost $\$ 5000$ . If the horse cost 4 times as much as the saddle, what was the cost of each?

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Problem 3067

If $n=140$ and $\widehat{p}=0.3$ , construct a $95 \%$ confidence interval about the population proportion. Round your answers to three decimal places.
Preliminary: a. Is it safe to assume that $n \leq 0.05$ of all subjects in the population? No Yes b. Verify $n \widehat{p}(1-\widehat{p}) \geq 10$ . Round your answer to one decimal place. $n \widehat{p}(1-\widehat{p})=$ $\square$
Confidence Interval: What is the $95 \%$ confidence interval to estimate the population proportion? Round your answer to two decimal places. $\square$ $<p<$ $\square$

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Problem 3068

Select the best answer choice for each blank. Note that $k$ represents any integer.
Select options below
The solutions to the equation $6 \sin (a x)+9=12$ are of the form: $x=\text { SelectOption } \nabla+\text { SelectOption } \nabla \pi$ Select Option and $x=$ $\square$ $+$ Select Option Selectaption - $\pi$

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Problem 3069

This is the only question in this section.
Question Watch Video Show Examples
What is the intermediate step in the form $(x+a)^{2}=b$ as a result of completing the square for the following equation? $4 x^{2}+48 x=288$

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Problem 3070

Unit 2 Assi
Convert the following expressions between exponential and logarithmic form. a. $2401=74$ [1 mark] b. $a=\log _{b} c[1$ mark]

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Problem 3071

Out of 300 people sampled, 150 had kids. Based on this, construct a $95 \%$ confidence interval for the true population proportion of people with kids.
Give your answers as decimals, to three places

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Problem 3072

3. Noah is helping to collect the entry fees at his school's sports game. Student entry costs $\$ 2.75$ each and adult entry costs $\$ 5.25$ each. At the end of the game, Diego collected \ $281.25. Select all equations that could represent the relationship between the number of students,$ s $, the number of adults,$ a $, and the dollar amount received at the game. A.$ 281.25-5.25 a=2.75 s $B.$ a=53.57-\frac{2.75}{5.25} s $C.$ 281.25-5.25 s=a $D.$ 281.25+2.75 a=s $E.$ 281.25+5.25 s=a $<br />4.$ V=\pi r^{2} h $is an equation to calculate the volume of a cylinder,$ V $, where$ r $represents the radius of the cylinder and$ h $represents its height. Which equation allows us to easily find the height of the cylinder because it is solved for$ h $? A.$ r^{2} h=\frac{V}{\pi} $B.$ h=V-\pi r^{2} $C.$ h=\frac{V}{\pi r^{2}} $D.$ \pi h=\frac{V}{r^{2}}$
5. The data represents the number of hours 10 students slept on Sunday night.
6 6
7 7 7 8 8 8
8 9 Are there any outliers? Explain your reasoning.

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Problem 3073

A political candidate has asked you to conduct a poll to determine what percentage of people support her.
If the candidate only wants a 10\% margin of error at a 95\% confidence level, what size of sample is needed?
Give your answer in whole people.

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Problem 3074

Use a CALCULATOR to complete the homeworkl
1. Select all the equations that have 2 solutions a. $\sqrt{(x+3)^{2}}=\sqrt{9} \quad x+3=$ b. $(x-5)^{2}=-5$ c. $(x+2)^{2}-6=0$ d. $(x-9)^{2}+25=0$ e. $(x+10)^{2}=1$ f. $(x-8)^{2}=0$ g. $5=(x+1)(x+1)$

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Problem 3075

Solve the equation on the interval $0 \leq \theta<2 \pi$ . $\cos \left(2 \theta-\frac{\pi}{2}\right)=-1$

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Problem 3076

Divide using long division. State the quotient, $q(x)$ , and the remainder, $r(x)$ . $\begin{array}{c} \left(15 x^{2}-8 x-7\right) \div(5 x-6) \\ \left(15 x^{2}-8 x-7\right) \div(5 x-6)=\square+\frac{\square}{5 x-6} \end{array}$ (Simplify your answers. Do not factor.)

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Problem 3077

6. The table shows the volume of water in cubic meters, $V$ , in a tank after water has been pumped out for a certain number of minutes. Which equation could represent the volume of water in cubic meters after $t$ minutes of water being pumped out? \begin{tabular}{|c|c|} \hline \begin{tabular}{c} time after \\ pumping begins \end{tabular} & \begin{tabular}{c} volume of water \\ (cubic meters) \end{tabular} \\ \hline 0 & 30 \\ 5 & 27.5 \\ 10 & 20 \\ 15 & 7.5 \\ \hline \end{tabular} A. $V=30-2.5 t$ B. $V=30-0.5 t$ C. $V=30-0.5 t^{2}$ D. $V=30-0.1 t^{2}$ (From Unit 2, Lesson 4.)
7. A catering company is setting up for a wedding. They expect 150 people to attend. They can provide small tables that seat 6 people and large tables that seat 10 people. a. Find a combination of small and large tables that seats exactly 150 people. b. Let $x$ represent the number of small tables and $y$ represent the number of large tables. Write an equation to represent the relationship between $x$ and $y$ . c. Explain what the point $(20,5)$ means in this situation. d. Is the point $(20,5)$ a solution to the equation you wrote? Explain your reasoning.

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Problem 3078

Solve the equation. $2 \sin ^{2} \theta-3 \sin \theta+1=0$

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Problem 3079

a. Use synthetic division to show that 2 is a solution of the polynomial equation below. $13 x^{3}+15 x^{2}-10 x-144=0$ b. Use the solution from part (a) to solve this problem. The number of eggs, $f(x)$ , in a female moth is a function of her abdominal width, in millimeters, modeled by the equation below. $f(x)=13 x^{3}+15 x^{2}-10 x-41$
What is the abdominal width when there are 103 eggs? a. The number 2 is a solution to the equation because the remainder of the division, $13 x^{3}+15 x^{2}-10 x-144$ divided by $x-2$ , is $\square$

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Problem 3080

Tuesday - Pythagorean Theorem Find the missing side of each triangle. Leave your answers in simplest radical form. 1) 3) 2) 4)

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Problem 3081

Solve the equation. $2+2 \sin \theta=4 \cos ^{2} \theta$

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Problem 3082

9. (-) MP.1 Make Sense and Persevere The home team had 4 three-pointers, 10 two-pointers, and 6 free throws. The visiting team scored 5 three-pointers, 8 two-pointers, and 5 free throws. Which team scored more points? Explain.

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Problem 3083

If a candle company can fit 8 candles in each shipping box, how many boxes should they use to ship an order of 56 candles? $\square$ boxes

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Problem 3084

What is the equation of the trend line in the scatter plot?
Use the two orange points to write the equation in slope-intercept form. Write any coefficients as integers, proper fractions, or improper fractions in simplest form. $\square$

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Problem 3085

Using a digital meter, Joan read the voltage output of a transformer. If she read 130.19 volts, and the maximum voltage allowed for the equipment she was supplying was 123.5 volts, how much voltage over the maximum was the reading?

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Problem 3086

51) $\log _{4} 8-\log _{4} 2 x=\log _{4} 46$

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Problem 3087

$\begin{aligned} \bar{y} & =\frac{1}{m} \iint^{2} y \rho(x, y) d A \\ & =\frac{x^{3}}{28} \int_{0}^{1} \int_{0}^{2-2 x}\left(4 y+10 x y+3 y^{2}\right) d y d x \\ & =\frac{3}{28} \int_{0}^{1}\left[\frac{4 y^{2}}{2}+\frac{10 x y^{2}}{2}+\frac{3 y^{3}}{3}\right]_{y=0}^{y=2-2 x} d x \\ & =\frac{1}{14} \int_{0}^{1}\left(24-30 x-12 x^{2}+\square\right]_{0}^{1}=\square \\ & =\frac{1}{14}[1]\end{aligned}$

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Problem 3088

Find the mass and the center of mass of the solid $E$ with the given density function $\rho(x, y, z)$ . $E$ lies under the plane $z=1+x+y$ and above the region in the $x y$ -plane bounded by the curves $y=\sqrt{x}, y=0$ , and $x=1 ; \rho(x, y, z)=8$ . $m=158 / 15$

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Problem 3089

Explore the properties of angles formed by two intersecting chords. 1.The intersecting chords form vertical angles. If $m \angle D E B=105^{\circ}$ , then $m \angle A E C=$ $\square$ $m \angle \mathrm{DEB}=105^{\circ}$ Check

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Problem 3090

9. Select all the equations that are equivalent to the equation $3 x-4=5$ . A. $3 x=9$ B. $3 x-4+4=5+4$ C. $x-4=2$ D. $x=9$ E. $-4=5-3 x$ (From Unit 2, Lesson 6.)
10. Han is solving an equation. He took steps that are acceptable but ended up with equations that are clearly not true. $\begin{aligned} 5 x+6 & =7 x+5-2 x & & \text { original equation } \\ 5 x+6 & =7 x-2 x+5 & & \text { apply the commutative property } \\ 5 x+6 & =5 x+5 & & \text { combine like terms } \\ & =5 & & \text { subtract } 5 x \text { from each side } \end{aligned}$
What can Han conclude as a result of these acceptable steps? A. There's no value of $x$ that can make the equation $5 x+6=7 x+5-2 x$ true. B. Any value of $x$ can make the equation $5 x+6=7 x+5-2 x$ true. C. $x=6$ is a solution to the equation $5 x+6=7 x+5-2 x$ . D. $x=5$ is a solution to the equation $5 x+6=7 x+5-2 x$ .

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Problem 3091

42. [0/1 Points]
DETAILS MY NOTES SCALCET6 15.8.043. PREVIOU
The surfaces $\rho=1+1 / 5^{*} \sin (m \theta) \sin (n \varphi)$ have been used as models for tumors. The "bumpy sphere" with $m=6$ and $n=5$ is shown. Use a computer algebra system to find the volume it encloses. $V=$ $\square$

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Problem 3092

9. Select all the equations that are equivalent to the equation $4 x+2=22$ . A. $x+2=18$ B. $x=5$ C. $2=22-4 x$ D. $4 x+2-2=22-2$ E. $4 x=24$ (From Unit 2, Lesson 6.)
10. Tyler is solving an equation. He took steps that are acceptable but ended up with equations that are clearly not true. $\begin{array}{ll} 4 x-15=-5 x+15+9 x & \text { original equation } \\ 4 x-15=9 x-5 x+15 & \text { apply the commutative property } \\ 4 x-15=4 x+15 & \text { combine like terms } \\ -15=15 & \text { subtract } 4 x \text { from each side } \end{array}$
What can Tyler conclude as a result of these acceptable steps? A. $x=-15$ is a solution to the equation $4 x-15=-5 x+15+9 x$ . B. $x=15$ is a solution to the equation $4 x-15=-5 x+15+9 x$ . C. Any value of $x$ can make the equation $4 x-15=-5 x+15+9 x$ true. D. There's no value of $x$ that can make the equation $4 x-15=-5 x+15+9 x$ true.

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Problem 3093

Determine the volume of a sphere with radius 9 mi . Use $\pi \approx 3.14$ . a. The volume $V=3052.08$ square miles. b. The volume $V=3052.08$ cubic miles. c. The volume $V=1000$ cubic miles. d. The volume $V=1300$ cubic miles.

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Problem 3094

Points: 0 of 1
An isosceles triangle containing two angles with equal measure is shown. The degree measure of each triangle's three interior angles and an extra angle is represented with variables. Find the measure of the three interior angles.
What is the measure of angle $x$ ? $x=$

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Problem 3095

Math
Which of the following regressions represents the strongest linear relationship between x and y ? atter Plots and Linear \begin{tabular}{llll} Regression 1 & $\underline{\text { Regression 2 }}$ & $\underline{\text { Regression 3 }}$ & Regression 4 \\ \hline $y=a x+b$ & $y=a x+b$ & $y=a x+b$ & $y=a x+b$ \\ $a=-9.2$ & $a=-16.3$ & $a=-5.9$ & $a=3.8$ \\ $b=13.5$ & $b=-5.9$ & $b=17.4$ & $b=-10.5$ \\ $r=-1.1128$ & $r=-0.4755$ & $r=-0.0546$ & $r=0.1161$ \end{tabular}
Answer egressions h of Linear Relationships Regression 1 Regression 2 Regression 3 Regression 4

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Problem 3096

Consider the curve given by the equation $(2 y+1)^{3}-24 x=-3 . \quad 3(2 y$ (a) Show that $\frac{d y}{d x}=\frac{4}{(2 y+1)^{2}}$ . (b) Write an equation for the line tangent to the curve at the point $(-1,-2)$ (c) Evaluate $\frac{d^{2} y}{d z^{2}}$ at the point $(-1,-2)$ . (d) The point $\left(\frac{1}{6}, 0\right)$ is on the curve. Find the value of $\left(y^{-1}\right)^{\prime}(0)$ .

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Problem 3097

Establish the identity. $\frac{\sec \theta+\tan \theta}{\tan \theta}-\frac{\sec \theta+\tan \theta}{\sec \theta}=\cos \theta \cot \theta$

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Problem 3098

b) $\left(-\frac{1}{2}\right)^{-3}=(-2)$

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Problem 3099

$2 W$ Mark for Review $4 \%$
Consider the curve in the $x y$ -plane defined by $x^{2}-\frac{y^{2}}{5}=1$ . It is known that $\frac{d y}{d x}=\frac{5 x}{y}$ and $\frac{d^{2} y}{d x^{2}}=-\frac{25}{y^{3}}$ . Which of the following statements is true about the curve in Quadrant IV? A) The curve is concave up because $\frac{d y}{d x}>0$ .
B The curve is concave down because $\frac{d y}{d x}<0$ .
C The curve is concave up because $\frac{d^{2} y}{d x^{2}}>0$ .
D The curve is concave down because $\frac{d^{2} y}{d x^{2}}<0$ .

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Problem 3100

Need Help? Read It All Bookmarks Submit Answer
8. [0.9/1.35 Points]
DETAILS MY NOTES CRAUDCOLALG6 4.5.EX.006. PREVIOUS ANSWERS PRACTICE ANOTHER
Suppose you have a balance of $B$ dollars on a credit card. You choose to stop charging and pay off the card, making only minimum monthly payments. If your card charges an APR of $r$ , as a decimal, and requires a minimum monthly payment of $5 \%$ of the balance, then the time $T$ , in months, required to reduce your balance to $\$ 100$ is given by $T=\frac{2-\log (B)}{\log \left(0.95\left(1+\frac{r}{12}\right)\right)}$
Suppose your current balance is $\$ 8000$ . (a) How long will it take to reduce your balance to $\$ 100$ if the APR for your card is $29 \%$ ? Report your answer to the nearest whole month. $\qquad$ $143$ $x$ months (b) Plot the graph of $T$ versus $r$ . Use a horizontal span of 0 to 0.3 . $T$ $T$

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Equation

Problem 3001

Problem 3002

Problem 3003

(b) verther circle has its centre on the The points (7,10)(7,10)(7,10) and (12,8)(12,8)(12,8) are on this circle. Find the equation of this circle. Note that your answer may contain non-integer values.

Problem 3004

Problem 3005

In circle G, r=3r=3r=3 units. Maria draws a circle with double the area of circle GGG.What is the area of Maria's circle? 6π6 \pi6π units 2^{2}2 9π9 \pi9π units 2^{2}2 12π12 \pi12π units 2^{2}2 18π18 \pi18π units 2^{2}2

Problem 3006

Multiply and simplify. (x−2)(x+2)=(x+22)2=\begin{array}{l} (\sqrt{x}-\sqrt{2})(\sqrt{x}+\sqrt{2})= \\ (\sqrt{x}+2 \sqrt{2})^{2}= \end{array}(x​−2​)(x​+2​)=(x​+22​)2=​

Problem 3007

Problem 3008

(x−2)2=(\sqrt{x}-\sqrt{2})^{2}=(x​−2​)2=

Problem 3009

d) (2x+3)∧2=4x∧2(2 x+3)^{\wedge} 2=4 x^{\wedge} 2(2x+3)∧2=4x∧2 e) (x+1)/2=−3(x+1) / 2=-3(x+1)/2=−3

Problem 3010

Problem 3011

Problem 3012

Solve the equation. 2z+6=5zz=□\begin{array}{c} 2 z+6=5 z \\ z=\square \end{array}2z+6=5zz=□​

Problem 3013

7. A box contains bags of nails. Each bag has 24 nails. There are 960 nails in the box. How many bags are in the box?

Problem 3014

8. Analyze a Problem Find the1 missing digits.

Problem 3015

Problem 3016

Question SWITCH years will it take for the size at a rate of 0.5%0.5 \%0.5%Provide your answer below:

Problem 3017

7. Solve each of the following proportions for the variable. Show your work. (a) m120=35100\frac{m}{120}=\frac{35}{100}120m​=10035​ (b) 119t=68100\frac{119}{t}=\frac{68}{100}t119​=10068​

Problem 3018

L. 6 Slope-intercept form: write an equation A42A line has a slope of 2 and a yyy-intercept of 58\frac{5}{8}85​. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest forn □\square□ Submit

Problem 3019

Problem 3020

L. 6 Slope-intercept form: write an equation A42 YouA line has a slope of 6 and passes through the point (−2,−16)(-2,-16)(−2,−16). Write its equation in slopeintercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form. □\square□

Problem 3021

```latex \begin{tabular}{l|l|l} \text{multi-step equation and explain.} & \\ \hline \text{A. 1} & \begin{tabular}{l} \text{I can solve linear equations with rational} \\ \text{coefficients} \end{tabular} & \text{8. EE. 7} \end{tabular}

Problem 3022

L. 6 Slope-intercept form: write an equation A42 YouA line passes through the points (4,18)(4,18)(4,18) and (9,18)(9,18)(9,18). Write its equation in slope-intercept form.Write your answer using integers, proper fractions, and improper fractions in simplest form. □\square□ Submit

Problem 3023

Problem 3024

A line has a slope of 0 and passes through the point (10,6)(10,6)(10,6). Write its equation in slopeintercept form.Write your answer using integers, proper fractions, and improper fractions in simplest form. □\square□ Submit

Problem 3025

Learn with an example or Watch a videoGraph this line: y−6=2(x+4)y-6=2(x+4)y−6=2(x+4)Click to select points on the graph. Submit

Problem 3026

Buscar 5:22 p.m. Dom nov 17Graph this line: y−6=−13(x+3)y-6=-\frac{1}{3}(x+3)y−6=−31​(x+3)Click to select points on the graph. Submit

Problem 3027

Graph this line: y+5=15(x+6)y+5=\frac{1}{5}(x+6)y+5=51​(x+6)Click to select points on the graph. Submit

Problem 3028

Graph this line: y+2=2(x+4)y+2=2(x+4)y+2=2(x+4)Click to select points on the graph.

Problem 3029

Problem 3030

ixl.comGraph this line: y−1=−13(x+7)y-1=-\frac{1}{3}(x+7)y−1=−31​(x+7)Click to select points on the graph. Submit

Problem 3031

2. Ms. Vizzari purchased 972 square yards of carpet for $17,496\$ 17,496$17,496. What was her cost per square foot? (A) $18.00\$ 18.00$18.00 (B) $9.75\$ 9.75$9.75 (C) $6.00\$ 6.00$6.00 (D) $2.00\$ 2.00$2.00 (E) $1.25\$ 1.25$1.25

Problem 3032

−2+25x+17=−35-2+25 x+17=-35−2+25x+17=−35

Problem 3033

Problem 3034

13. Taxi fare is $1.00\$ 1.00$1.00 for the first 12\frac{1}{2}21​ mile and $0.35\$ 0.35$0.35 for each additional 12\frac{1}{2}21​ mile. How many miles can a passenger ride for $3.10\$ 3.10$3.10 ? (A) 3123 \frac{1}{2}321​ (B) 4 (C) 6126 \frac{1}{2}621​ (D) 7 (E) 7127 \frac{1}{2}721​

Problem 3035

ixl.comWrite the equation of this line in slope-intercept form.Write your answer using integers, proper fractions, and improper fractions in simplest form. □\square□

Problem 3036

Problem 3037

Problem 3038

Graph this line: y−5=−(x+3)y-5=-(x+3)y−5=−(x+3)Click to select points on the graph.

Problem 3039

Problem 3040

Graph this line: y−2=12(x+7)y-2=\frac{1}{2}(x+7)y−2=21​(x+7)Click to select points on the graph. Silhmit Practice in the app

Problem 3041

15. The average time for each leg of a five-leg road race took Bob three hours and thirty-six minutes. How long did it take Bob to complete the race? (A) 12 hours and 20 minutes (B) 13 hours (C) 16 hours and 16 minutes (D) 18 hours (E) 19 hours and 12 minutes

Problem 3042

Graph this line: y−2=−15(x+2)y-2=-\frac{1}{5}(x+2)y−2=−51​(x+2)Click to select points on the graph. Submit Practice in the app

Problem 3043

Solve the equation: log⁡2(x−1)=3\log _{2}(x-1)=3log2​(x−1)=3

Problem 3044

b) 8x+1=16x−28^{x+1}=16^{x-2}8x+1=16x−2

Problem 3045

ixl.comGraph this line: y+6=−27(x−2)y+6=-\frac{2}{7}(x-2)y+6=−72​(x−2)Click to select points on the graph. Submit Practice in the app

Problem 3046

Problem 3047

Buscar 5:52 p.m. Dom nov 17 ixl.comGraph this line: y+2=3(x−6)y+2=3(x-6)y+2=3(x−6)Click to select points on the graph. Submit Work it out Practice in the app

(b) verther circle has its centre on the The points $(7,10)$ and $(12,8)$ are on this circle. Find the equation of this circle. Note that your answer may contain non-integer values.

In circle G, $r=3$ units. Maria draws a circle with double the area of circle $G$ .
What is the area of Maria's circle? $6 \pi$ units $^{2}$ $9 \pi$ units $^{2}$ $12 \pi$ units $^{2}$ $18 \pi$ units $^{2}$

Multiply and simplify. $\begin{array}{l} (\sqrt{x}-\sqrt{2})(\sqrt{x}+\sqrt{2})= \\ (\sqrt{x}+2 \sqrt{2})^{2}= \end{array}$

$(\sqrt{x}-\sqrt{2})^{2}=$

d) $(2 x+3)^{\wedge} 2=4 x^{\wedge} 2$ e) $(x+1) / 2=-3$

Solve the equation. $\begin{array}{c} 2 z+6=5 z \\ z=\square \end{array}$

8. Analyze a Problem Find the
1 missing digits.

Question SWITCH years will it take for the size at a rate of $0.5 \%$
Provide your answer below:

7. Solve each of the following proportions for the variable. Show your work. (a) $\frac{m}{120}=\frac{35}{100}$ (b) $\frac{119}{t}=\frac{68}{100}$

L. 6 Slope-intercept form: write an equation A42
A line has a slope of 2 and a $y$ -intercept of $\frac{5}{8}$ . Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest forn $\square$ Submit

L. 6 Slope-intercept form: write an equation A42 You
A line has a slope of 6 and passes through the point $(-2,-16)$ . Write its equation in slopeintercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$

L. 6 Slope-intercept form: write an equation A42 You
A line passes through the points $(4,18)$ and $(9,18)$ . Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ Submit

A line has a slope of 0 and passes through the point $(10,6)$ . Write its equation in slopeintercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ Submit

Learn with an example or Watch a video
Graph this line: $y-6=2(x+4)$
Click to select points on the graph. Submit

Buscar 5:22 p.m. Dom nov 17
Graph this line: $y-6=-\frac{1}{3}(x+3)$
Click to select points on the graph. Submit

Graph this line: $y+5=\frac{1}{5}(x+6)$
Click to select points on the graph. Submit

Graph this line: $y+2=2(x+4)$
Click to select points on the graph.

ixl.com
Graph this line: $y-1=-\frac{1}{3}(x+7)$
Click to select points on the graph. Submit

2. Ms. Vizzari purchased 972 square yards of carpet for $\$ 17,496$ . What was her cost per square foot? (A) $\$ 18.00$ (B) $\$ 9.75$ (C) $\$ 6.00$ (D) $\$ 2.00$ (E) $\$ 1.25$

$-2+25 x+17=-35$

13. Taxi fare is $\$ 1.00$ for the first $\frac{1}{2}$ mile and $\$ 0.35$ for each additional $\frac{1}{2}$ mile. How many miles can a passenger ride for $\$ 3.10$ ? (A) $3 \frac{1}{2}$ (B) 4 (C) $6 \frac{1}{2}$ (D) 7 (E) $7 \frac{1}{2}$

ixl.com
Write the equation of this line in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$

Graph this line: $y-5=-(x+3)$
Click to select points on the graph.

Graph this line: $y-2=\frac{1}{2}(x+7)$
Click to select points on the graph. Silhmit Practice in the app

Graph this line: $y-2=-\frac{1}{5}(x+2)$
Click to select points on the graph. Submit Practice in the app

Solve the equation: $\log _{2}(x-1)=3$

b) $8^{x+1}=16^{x-2}$

ixl.com
Graph this line: $y+6=-\frac{2}{7}(x-2)$
Click to select points on the graph. Submit Practice in the app

Buscar 5:52 p.m. Dom nov 17 ixl.com
Graph this line: $y+2=3(x-6)$
Click to select points on the graph. Submit Work it out Practice in the app

ixl.com
Write the equation of this line in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ DI. Practice in the app

Graph this line using the slope and $y$ -intercept: $y=8 x+1$
Click to select points on the graph.

Buscar ixl.com
Graph this line using the slope and $y$ -intercept: $y=\frac{1}{6} x+2$
Click to select points on the graph. Submit

People walking on the street were asked if they sang in the shower. The number of people who said yes was 111 and no was 200. Find the probability that if a person is chosen at random, they sing in the shower. Round your answer to two decimal places. $\square$
Submit Question

Graph this line using the slope and $y$ -intercept: $y=\frac{1}{9} x+4$
Click to select points on the graph.

Find the length of the two missing sides in the parallelogram below.
Answer Attempt 1 out of 2 $\square$ $x=\square \quad y=\square$ Submit Answer

Write the equation in its equivalent exponential form. $5=\log _{6} M$

Find the length of the three missing sides in the rhombus below.
Answer Attempt 1 out of 2 $x=\square \quad y=\square \quad z=\square$

Solve the following: $84.92-26.4=$

Given rectangle QRST below. If $R U=41$ , find $Q S$ .
Answer Attempt 1 out of 2 $Q S=$ $\square$ Submit Answer

A horse and a saddle cost $\$ 5000$ . If the horse cost 4 times as much as the saddle, what was the cost of each?

This is the only question in this section.
Question Watch Video Show Examples
What is the intermediate step in the form $(x+a)^{2}=b$ as a result of completing the square for the following equation? $4 x^{2}+48 x=288$

Unit 2 Assi
Convert the following expressions between exponential and logarithmic form. a. $2401=74$ [1 mark] b. $a=\log _{b} c[1$ mark]

Out of 300 people sampled, 150 had kids. Based on this, construct a $95 \%$ confidence interval for the true population proportion of people with kids.
Give your answers as decimals, to three places

A political candidate has asked you to conduct a poll to determine what percentage of people support her.
If the candidate only wants a 10\% margin of error at a 95\% confidence level, what size of sample is needed?
Give your answer in whole people.