Equation

Problem 901

3+x7=0\frac{3+x}{-7}=0

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Problem 902

x4+2x38x218x9=0x^{4}+2 x^{3}-8 x^{2}-18 x-9=0

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Problem 903

2x33x25x+6=02 x^{3}-3 x^{2}-5 x+6=0

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Problem 904

3x34x217x+6=03 x^{3}-4 x^{2}-17 x+6=0

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Problem 905

Segment Addition Day 1 9/9 AB = 2x+33 A 2x+33 B BC=8 AC = 29 What is the value of x? What is the length of AB? 29 + POSSIBLE POINTS: 25 8 C R Z 1 2 3 4 5 6 Next 407 H

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Problem 906

limxc+2x+1=0\lim _{x \rightarrow c^{+}} 2 \sqrt{x+1}=0 What is the value of c c ?

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Problem 907

P(x)=3x416x3+21x2+4x12,x1=2/3P(x)=3 x^{4}-16 x^{3}+21 x^{2}+4 x-12 \quad, x_{1}=-2 / 3

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Problem 908

Which equation has the graph shown below?

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Problem 909

Solve the following equation (y2)(y+1)=2y(y-2)(y+1)=-2 y

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Problem 910

Question 2
Rita wants to buy a sweater that was originally priced at $25.00\$ 25.00. Today the sweater is on sale for 40%40 \% off the original price.
Part A
What is the sale price of the sweater? \$
Part B
Rita has a coupon for an additional 10\% off the sale price. How much will Rita pay for the sweater before taxes?

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Problem 911

nomework1.4: Prodiem 4 (1 point)
Write equations for each of the following three lines. a. The line given by the table of values \begin{tabular}{|l|l|l|} \hlinex=x= & 1 & 1 \\ \hliney=y= & 2 & 4 \\ \hline \end{tabular} ? \square b. The line given by the graph ? \square c. The line for which the yy coordinate of every point is -3 . ? \square
Note: In order to get credit for this problem all answers must be correct.

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Problem 912

Using Thevenin's theorem, calculate the current flowing through a 10Ω10 \Omega resistor in the figure below.

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Problem 913

Question 6
Yolanda buys two types of flowering plants. She buys 36 geraniums and 63 marigolds. She wants to plant an equal number of flowers in each row of her garden. Each row will contain only one type of flowering plant.
Part A
Yolanda uses all the plants she bought in her garden. Determine the greatest number of flowering plants that could be in each row of the garden. \square plants
Part B
How many rows of each type of flowering plant will be in Yolanda's garden? \square rows of geraniums \square rows of marigolds

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Problem 914

A board game uses the deck of 20 cards shown to the right. Two cards are selected at random from this deck. Calculate the probability that both cards selected have a 2 , both with and without replacement.
Two cards are to be selected with replacement. Determine the probability that both cards selected have a 2. \square (Type an integer or a simplified fraction.) Two cards áre to be selected without replacement. Determine the probability that both cards selected have a 2. \square (Type an integer or a simplified fraction.)

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Problem 915

Question 1 5 pts
To solve the Bernoulli differential equation dydx+xy=(lnx)y3\frac{d y}{d x}+x y=(\ln x) y^{3}, you would make the substitution v=yv=y^{\wedge} \square , in which case dvdx=\frac{d v}{d x}=\square \square yy^{\wedge} \square dydx\frac{d y}{d x} (the first box is the coefficient and the second box is the power of yy ).

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Problem 916

(4y+5)(5y1)=0(4 y+5)(5 y-1)=0

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Problem 917

Factor as the product of two binomials. 96x+x2=9-6 x+x^{2}=

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Problem 918

If the sum of three consecutive even integers is 90, what is the smallest of the three integers?

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Problem 919

Solve for pp. 3.5p=183.5-p=18 14.5-14.5 21.5-21.5 21.5 14.5

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Problem 920

27 a. Soient c=29444684c=29444684, d=13168063,e=1229015134d=13168063, e=1229015134 et h=549632h=549632 277. A-t-on cd=eh\frac{c}{d}=\frac{e}{h} ? b. A-t-on 2=2261953715994428\sqrt{2}=\frac{22619537}{15994428} ?

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Problem 921

What value of yy is a solution to ais a 61=7y1661=7 y-16 y=11y=11 y=12y=12

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Problem 922

What is the equation of the line that passes through the point (5,3)(5,3) and has a slope of 35\frac{3}{5} ?

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Problem 923

SyIabus for ENGLISH COMPO queen mattress - Google Searc walmart.com/cart math.com/assess2/?cid=244739\&aid=17181681\#/skip/6
NOTE: The picture is NOT drawn to scale. How far is the satellite from station A? Distance from A=A= 8.2 \square σ6mi\sigma^{6} \mathrm{mi}
Enter your answer as a number; your answer should be accurate to 2 decimal places. Part 2 of 2
How high is the satellite above the ground? height = \square mi
Enter your answer as a number; your answer should be accurate to 2 decimal places. Question Help: Video Submit Question

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Problem 924

Instructions Solve the following problem and select your answer from the choices given.
Question
CUSTOMERS AT ASTORE
The bar graph above shows the number of customers who shopped at a store Monday through Thursday of one week. If the number of customers on Friday was a one-fifth increase over the number of customers on Thursday, how many customers shopped at the store on Friday? 480 500 525 600

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Problem 925

5. Find S(x+z)dS,S\iint_{S}(x+z) \mathrm{dS}, \mathrm{S} : the first octant portion of the cylinder y2+z2=9y^{2}+z^{2}=9 between x=0x=0 and x=4x=4 i) Sketch S ii) Use the parametric representation method to evaluate this.

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Problem 926

Find the equation of the linear function represented by the table below in slope-intercept form. \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-1 & -5 \\ \hline 1 & -3 \\ \hline 3 & -1 \\ \hline 5 & 1 \\ \hline \end{tabular}
Answer \square Submit Answer

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Problem 927

Use the square root property to solve the equation. x25=0x^{2}-5=0

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Problem 928

Instructions Solve the following problem and select your answer from the choices given.
Question
The area of the triangle above is 21 . What is the value of xx ? 3 6 7 11

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Problem 929

The trainers at Atlantis Aquarium perform shows about sea life. Yesterday, they performed 4 shows in 2 hours. Today, they will perform shows. ) If they perform shows at the same rate, how many hours will the trainers spend performing shows today?

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Problem 930

Suppose you win a small lottery that pays you $250\$ 250 every month for the next 6 months.
Further suppose that your personal beliefs are such that you believe the discount rate of future sums of money is 10%10 \%.
At month \#6, what will that final payment of $250\$ 250 be worth to you under your current financial perspective on the time value of money?

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Problem 931

People with type O-negative blood are universal donors. Any patient can receive a transfusion of O-negative blood. Only 7.2\% of the American population has O-negative blood. If we choose 10 Americans at random, what is the probability that at least 1 of them has O -negative blood? \square (Round to 3 decimal places. Leave your answer in decimal form.)

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Problem 932

A regression was run to determine whether there is a relationship between the diameter ( xx, in inches) of an aspen tree and the tree's age ( yy, in years). The results of the regression are given below. Use this to predict the age of an aspen tree with diameter 10 inches. Round your answer to three decimal places. y=ax+ba=1.075b=1.218r=0.964\begin{array}{l} y=a x+b \\ a=1.075 \\ b=-1.218 \\ r=0.964 \end{array}

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Problem 933

Ayana's Diner sold 600 milkshakes last week. 79%79 \% of the milkshakes had whipped cream on top. How many milkshakes with whipped cream were sold? \square milkshakes Submit

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Problem 934

The parking garage at the arport has 6 empty parking spaces and 194 full paking spaces What percemage of the spaces in the garage are empty? Write your answer using a percent sign (\%6). \square

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Problem 935

Question Watch Video Show Examples
Moussa is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fee is $25\$ 25 and the one-time joining fee is $100\$ 100. Write an equation for CC, in terms of tt, representing the total cost of the gym membership over tt months.
Answer Attempt 1 out of 2 C=C= \square Submit Answer

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Problem 936

The US Department of Energy reported that 49\% of homes were heated by natural gas. A random sample of 319 homes in Oregon found that 125 were heated by natural gas. Test the claim that proportion of homes in Oregon that were heated by natural gas is different than what was reported. Use a 5%5 \% significance level. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0\mathrm{H}_{0} : \square ? \square Ha\mathrm{H}_{\mathrm{a}} : Select an answer \square ? 0 \square

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Problem 937

1. Identify the slope and yy-intercept in the linear equation y=3x13y=3 x-13 Y=Mx+bM=3b=13Y=M x+b \quad M=3 \quad b=-13

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Problem 938

V(to)=30mi/hrV(t o)=30 \mathrm{mi} / \mathrm{hr}
A motorist enters a freeway at 30mi/h30 \mathrm{mi} / \mathrm{h} and accelerates uniformly to 60mi/h60 \mathrm{mi} / \mathrm{h}. From the odometer in the car, the motorist knows that she traveled 550 ft while accelerating. Determine ( aa ) the acceleration of the car, (b) the time required to reach 60mi/h60 \mathrm{mi} / \mathrm{h}. a) Below, draw a figure showing the coordinate system used and labelling all of the Givens, as we did in class. Then, below the figure, list the Finds in variable form (as they are written in the equations below). है 5280Ft360051mi/hr=5280ft360v(t0)=30×52803600ft/s2( A)=60×52803ft/sz(t)=60×52803600Ft/s\begin{array}{l} \frac{5280 \mathrm{Ft}}{36005} \\ 1 \mathrm{mi} / \mathrm{hr}=\frac{5280 \mathrm{ft}}{360} \\ \begin{array}{l} v\left(t_{0}\right)=30 \times \frac{5280}{3600} \mathrm{ft} / \mathrm{s} \\ 2(\mathrm{~A})=60 \times \frac{5280}{3} \mathrm{ft} / \mathrm{s} \end{array} \\ z(t)=60 \times \frac{5280}{3600} \mathrm{Ft} / \mathrm{s} \end{array} tto0ds 1. v(t)2=v(t0)2+2ac[x(t)x(t0)] 2. v(t)=v(t0)+ac[tt0]\begin{array}{l} t^{t o 0 d s} \\ \text { 1. } v(t)^{2}=v\left(t_{0}\right)^{2}+2 a_{c}\left[x(t)-x\left(t_{0}\right)\right] \\ \text { 2. } v(t)=v\left(t_{0}\right)+a_{c}\left[t-t_{0}\right] \end{array} b) Based on the given info from part a above, develop a gameplan for your solution: On the equations below, write why you are using those equations and then write check marks above the variables that you know/are given, and draw a box around all the variables you have to Find. Write a circled " 1 " next to which equation you would solve first and a circled " 2 " next to the equation you would solve next, like I did in the class example. DO NOT SOLVE! CASE 2: a(t)=a(t)= constant =ac=a c \qquad v(t)2=v(to)2+2ac[x(t)x(to)]v(t)^{2}=v\left(t_{o}\right)^{2}+2 a_{c}\left[x(t)-x\left(t_{o}\right)\right]
CASE 3: v(t)=constant=vc\mathrm{v}(\mathrm{t})=\mathrm{constant}=\mathrm{vc} x(t)=x(t0)+vC[tt0]a(t)=dv(t)dt=dvCdt=0x(t)=x\left(t_{0}\right)+v_{C}\left[t-t_{0}\right] \quad a(t)=\frac{d v(t)}{d t}=\frac{d v_{C}}{d t}=0

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Problem 939

Find the equation of the axis of symmetry of the following parabola algebraically. y=2x2+20x+68y=2 x^{2}+20 x+68

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Problem 940

Find the roots of the function g(x)=x3+4x22x2 g(x) = -x^3 + 4x^2 - 2x - 2 .

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Problem 941

A ladder leans against a building. The base of the ladder is 8 feet away from the wall of the building and reaches a height of 18 feet. Determine the angle, to the nearest degree, that the wall makes with the ladder.

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Problem 942

8+4x3=6-8+\sqrt[3]{-4-x}=-6

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Problem 943

According to a report on consumer fraud and identity theft, 24%24 \% of all complaints for a year were for identity theft. In that year, Utah had 879 complaints of identity theft out of 3488 consumer complaints. Does this data provide enough evidence to show that Utah had a higher proportion of identity theft than 24\%? Test at the 10%10 \% level.
State the hypotheses. H0:pH_{0}: p ? \square \square Ha:pH_{a}: p ? \square Calculate the test statistic. Round to four decimal places. p^=\hat{p}= \square Calculate the standardized test statistic. Round to three decimal places. z=z= \square Find the pp-value. Round to four decimal places. pp-value == \square State your decision. Since the p -value is less than .10 , fail to reject H0H_{0}. Since the pp-value is less than .10 , reject H0H_{0}. Since the pp-value is greater than .10 , fail to reject H0H_{0}. Since the pp-value is greater than .10 , reject H0H_{0}.
Interpret the results. At the 10%10 \% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Utah is not equal to 24%24 \%. At the 10%10 \% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Utah is more than 24\%. At the 10%10 \% level of significance, there is not enough evidence to show that the proportion of complaints due to identity theft in Utah is more than 24\%. At the 10%10 \% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Utah is less than 24%24 \%. At the 10%10 \% level of significance, there is not enough evidence to show that the proportion of complaints due to identity theft in Utah is less than 24\%.

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Problem 944

Points: 0 of 1
Let ABCDEF\triangle A B C \cong \triangle D E F. Find mEm \angle E.
The value of mEm \angle E is \square { }^{\circ}. (Simplify your answer. Type an integer or a decimal.)

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Problem 945

Question Solve for x : 7x+113+3=11\sqrt{7 x+113}+3=11
Answer Attempt 1 out of 2 x=x= \square Sub

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Problem 946

Find the exact solution of each xx for each inverse equation. a. 2cos1x=π2 \cos ^{-1} x=\pi b. 3tan1x=π3 \tan ^{-1} x=\pi

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Problem 947

100\%
After the community clean-up, the ecology club collected all the empty drink containers. There were 40 more 55 申 deposit containers than 10 \& deposit containers. If the club received $24.80\$ 24.80 from the recycling center, how many 55 \notin deposit containers did they have? A. 112 B. 125 C. 152 D. 165

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Problem 948

Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made in a given time period and found that 12%12 \% of all lenses had defects of some type. Looking at the type of defects, they found in a three-month time period that out of 34,054 defective lenses, 4257 were due to scratches. Are there more defects from scratches than from all other causes? Use a 1%1 \% level of significance.
State the hypotheses. H0:pH_{0}: p ? \square Ha:p?H_{a}: p ? \square Calculate the test statistic. Round to four decimal places. p^=\hat{p}= \square Calculate the standardized test statistic. Round to three decimal places. z=z=\square
Find the pp-value. Round to four decimal places. pp-value == \square State your decision. Since the pp-value is greater than .01 , fail to reject H0H_{0}. Since the pp-value is greater than .01 , reject H0H_{0}. Since the pp-value is less than .01 , reject H0H_{0}. Since the pp-value is less than .01 , fail to reject H0H_{0}.
Interpret the results. At the 1%1 \% level of significance, there is enough evidence to show that the proportion of defective lenses from scratches is lower than 12%12 \%, the proportion from other causes. At the 1%1 \% level of significance, there is enough evidence to show that the proportion of defective lenses from scratches is higher than 12%12 \%, the proportion from other causes. At the 1%1 \% level of significance, there is not enough evidence to show that the proportion of defective lenses from scratches is lower than 12%12 \%, the proportion from other causes. At the 1%1 \% level of significance, there is not enough evidence to show that the proportion of defective lenses from scratches is higher than 12%12 \%, the proportion from other causes. At the 1%1 \% level of significance, there is not enough evidence to show that the proportion of defective lenses from scratches is not equal to 12%12 \%, the proportion from other causes.

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Problem 949

Arrange the three digit cards to complete the calculation. What is the answer to the calculation? Answer ÷ 3 = 0. 4 2 1

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Problem 950

Question
Solve for all possible values of x . 5x+26=x+6\sqrt{5 x+26}=x+6
Answer Altempt 1 out of 2

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Problem 951

Tyler Moore L1-3
If Olivia can swim 19 lengths of a 25-metre (m) pool every 15 minutes, how many metres can she swim in one hour?
Include the units mm (metres) in your answer.

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Problem 952

4. Let's say you invest an amount now and leave it in the bank for 50 years.
WOULD YOU RATHER... - OPTION A - Invest $2000\$ 2000 now, interest rate of 4%4 \% compounded annually - OPTION B - Invest $4000\$ 4000 now, interest rate of 2%2 \% compounded annually

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Problem 953

Question
Solve for all possible values of x . 3x+18=x+6\sqrt{3 x+18}=x+6
Answer Attempt 1 out of 2 (†) Additional Solution No Solution

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Problem 954

Function Operations and Inverses Graphing an absolute value equation in the plane: Advan
Graph the equation. y=3x+45y=3|x+4|-5

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Problem 955

An open-ended cylinder can be folded from a rectangular piece of paper ABCDA B C D in two ways: one in which ABA B meets DCD C and the other in which ADA D meets BCB C.
For a particular piece of paper, the difference in volume of these two cylinders is 1000 cm31000 \mathrm{~cm}^{3}.
If one edge length is 10 cm shorter than the other edge length, what is the perimeter (in cm, to 4 sig.figs.) of the rectangle ABCDA B C D ?

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Problem 956

Question Watch
Solve for all possible values of x . 5x+36=x+8\sqrt{5 x+36}=x+8
Answer Attempt 1 out of 2 () Additional Solution Θ\Theta No Solution x=x= \square Submit Ans

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Problem 957

Question
Solve for x : 2x+1111=8\sqrt{2 x+11}-11=-8
Answer Attempt 1 out of 2 x=x=

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Problem 958

Question
Solve for x : 6x41+15=16\sqrt{6 x-41}+15=16
Answer Attempt 1 out of 2 x=x= \square

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Problem 959

Question
Solve for x : 3x+39+6=12\sqrt{3 x+39}+6=12

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Problem 960

(4) [5 points] If an object's speed increases by a factor of 10 , its kinetic energy increases by a factor of 0105k=12mv2 y 1000v=10v0k=12m(10v)2=100(12mv2)K=100k\begin{array}{ll} \begin{array}{ll} 0 & 10 \\ 5 & k=\frac{1}{2} m v^{2} \\ \text { y } 100 & \\ 0 & v^{\prime}=10 v \\ 0 & k^{\prime}=\frac{1}{2} m(10 v)^{2}=100\left(\frac{1}{2} m v^{2}\right) \\ & \\ & K^{\prime}=100 k \end{array} \end{array}

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Problem 961

Find the dimensions of the right circular cylinder described. The volume of a right circular cylinder is given by V=πr2hV=\pi r^{2} h.
The radius and height differ by two meters. The height is greater and the volume is 441π441 \pi cubic meters.
List the dimensions, separated by commas: \square

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Problem 962

f a right triangle has legs that measure 10, and 24 , what would the hypotenuse be?

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Problem 963

Sabine records the daily heights of a random sample of bamboo stalks, in inches. They are: 20,19,17,16,18,15,20,2120,19,17,16,18,15,20,21
Consider the formulas: A:s2=(x1xˉ)2+(x2xˉ)2++(xnxˉ)2n1A: s^{2}=\frac{\left(x_{1}-\bar{x}\right)^{2}+\left(x_{2}-\bar{x}\right)^{2}+\ldots+\left(x_{n}-\bar{x}\right)^{2}}{n-1} B:s=(x1xˉ)2+(x2xˉ)2++(xnxˉ)2n1B: s=\sqrt{\frac{\left(x_{1}-\bar{x}\right)^{2}+\left(x_{2}-\bar{x}\right)^{2}+\ldots+\left(x_{n}-\bar{x}\right)^{2}}{n-1}} C σ2=(x1μ)2+(x2μ)2++(xNμ)2N\sigma^{2}=\frac{\left(x_{1}-\mu\right)^{2}+\left(x_{2}-\mu\right)^{2}+\ldots+\left(x_{N}-\mu\right)^{2}}{N} D:σ=(x1μ)2+(x2μ)2++(xNμ)2ND: \sigma=\sqrt{\frac{\left(x_{1}-\mu\right)^{2}+\left(x_{2}-\mu\right)^{2}+\ldots+\left(x_{N}-\mu\right)^{2}}{N}}
Which formula should you use for variance? \square Which formula should you use for standard deviation? \square DONE -

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Problem 964

Question Show Examples
The table below shows the cost of downloading songs from a website. \begin{tabular}{|c|c|} \hline Number of Songs & Total Cost \\ \hline 14 & $6.58\$ 6.58 \\ \hline 18 & $8.46\$ 8.46 \\ \hline 20 & $9.40\$ 9.40 \\ \hline \end{tabular}
If cc represents the total cost in dollars and cents for any number of songs downloaded, ss, write a proportional equation for cc in terms of ss that matches the context.

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Problem 965

Find secθ\sec \theta and cscθ\csc \theta if cotθ=1235\cot \theta=-\frac{12}{35} and cosθ<0\cos \theta<0.

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Problem 966

Net Present Value (NPV): Uses time value of money techniques to evaluate the viability of a project. EXERCISE 3: Everclear Inc. is deciding how best to use its limited capital and must choose between two different projects with different initial investments and annual cash flows. \begin{tabular}{|l|l|l|} \hline Year & Project 1 & Project 2 \\ \hline Initial Investment & $250,000\$ 250,000 & $275,000\$ 275,000 \\ \hline & Cash Inflows & Cash Inflows \\ \hline 1 & $80,000\$ 80,000 & $125,000\$ 125,000 \\ \hline 2 & 80,000 & 110,000 \\ \hline 3 & 80,000 & 60,000 \\ \hline 4 & 80,000 & 55,000 \\ \hline Total & $320,000\$ 320,000 & $350,000\$ 350,000 \\ \hline \end{tabular} 2|Page
Assuming a Required Rate of Return of 8%8 \%, calculate the NPV for Project 1. Project 1 is considered to be an "Annuity" as the project is expected to return an equal series of cash flows over the project life. Begin by calculating the present value of the estimated annual cash flows. Use the PV Annuity table on the last page \begin{tabular}{|l|l|} \hline Equal Annual Cash Flow & $\$ \\ \hline Multiply by: PV Factor & X \\ \hline PV of Annual Cash Flow (round to nearest whole dollar) & $\$ \\ \hline \end{tabular}
Next, compare the present value calculated above to the initial investment to determine NPV: \begin{tabular}{|l|l|} \hline PV of Annual Cash Flow (above) & $\$ \\ \hline Less: Initial Investment & ( \\ \hline Net Present Value (NPV) & $\$ \\ \hline \end{tabular}
Note: If the NPV for Project 1 is positive, it means that it will yield more than the required rate of 8%8 \%. makes the project viable, but it doesn't necessarily mean it represents the best use of company funds
Next, calculate the NPV for Project 2 assuming the same Required Rate of Return of 8%8 \%. Since this pri unequal expected cash flows, you must separately determine the PV amount for each year (You must PV of $1\$ 1 table and the 8%8 \% column). Round the PV column answers to the nearest whole dollar. \begin{tabular}{|c|c|l|l|} \hline Year & Cash Inflows & X PV factor & PV \\ \hline 1 & $125,000\$ 125,000 & X & =$=\$ \\ \hline 2 & 110,000 & XX & == \\ \hline 3 & 60,000 & XX & == \\ \hline 4 & 55,000 & XX & == \\ \hline Total PV of Cash Flows & & & $\$ \\ \hline Less: Initial Investment & & & 1 \\ \hline NPV of Project 2 & & & \\ \hline \end{tabular}

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Problem 967

What is the circumference of a circle with a radius of 12 feet? C=[?]ftC=[?] \mathrm{ft}. Do not round your answer. circumference Formula C=2πrC=2 \pi r \leqslant Use 3.14 for pi (π)(\pi).

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Problem 968

Solve the fraction application problem. If you have any improper fractions, turn them into mixed or whole numbers. Answer must be in Fraction form and use (i) in your answer to designate any fractions. Make sure to simplif any fractions completely.
Sal walked 34103 \frac{4}{10} miles to the store. Gloria walked 5 miles to work. How much further did Gloria Walk? Gloria Walked Blank 1 more miles than Sal.

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Problem 969

The following table specifies the expansion expenses for a business:
Expansion Expenses Product Growth: Focus Groups: 50 people @ \$200 per person Inventory Expenses: 30\% on \$250,000 value New Equipment: \$210,000
Building Growth: Architect Cost: \16,500Attorneys:$65,000Bankers:$120,000Calculatethebuildinggrowthcostsofexpansion.16,500 Attorneys: \$65,000 Bankers: \$120,000 Calculate the building growth costs of expansion.  Costs = $[?]\text { Costs = } \$[?]$

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Problem 970

92x=359-2 x=35

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Problem 971

Find the intercepts of the equation. x+2y=6x+2 y=6
X-intercept (Blank 1, Blank 2) y-intercept (Blank 3, Blank 4)

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Problem 972

9 L'équation du deramethe de ('hyperbole 4x25y2=104 x^{2}-5 y^{2}=-10 qui passe par le milien de la carde purtrei pan la anse 2x+y+3=02 x+y+3=0 as:
1. 5y8x=05 y-8 x=0 \quad 2. 8yx=035y+2x=08 y-\sqrt{x}=0 \quad 3 \quad 5 y+2 x=0 \quad 4. 8y+2x=08 y+2 x=0 55y2x=05 \quad 5 y-2 x=0

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Problem 973

5x10=10-5 x-10=10

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Problem 974

https://ng.cengage.com/static/nb/ui/evo/index.html?deploymentld=5560042510444701712549934146\&eISBN=97813058667688i... Search thi MINDTAP Assignment Score: 56 nment: Simple Interest Save Submit Assignment for Grad Question 4
Chapter9_Activity_9.1.4 Check My W (a) You have agreed to borrow $50\$ 50 and after six months pay back $58\$ 58. How much interest are you paying? What is the annual interest rate?
Interest: \ \squareRate: Rate: \square%(b)Ifyouborrow \% (b) If you borrow \800 800 at 18%18 \% for 11 months, how much total interest will you pay?
Total Interest: \ \square$ (use .9167) Check My 0 - Icon Key - Questi

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Problem 975

8=x+112-8=\frac{x+11}{-2}

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Problem 976

artA\operatorname{art} A an isosceles triangle that has exactly two equal sides, the equal sides are called legs and the third side is called the base. The angle included by the legs is called the \square angle and the angles that have the base as one of their sides are called the \square angles. art B The vertex angle of an isosceles triangle measures 8 times the measure of a base angle. Find the measure of a base angle. Choose the correct option. (A) 8181^{\circ} (B) 36 (C) 1818^{\circ} (D) 4444^{\circ}

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Problem 977

12x17=89-12 x-17=-89

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Problem 978

Solve the exponential equation. 4(1.19)x+2=154(1.19)^{x}+2=15
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is x=x= \square (Do not round until the final answer. Then round to four decimal places as needed. Use a comma to separate answers as needed.) B. There is no solution.

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Problem 979

5x=125-x=12

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Problem 980

8. A car travels 252 miles in 4 hours. Assuming that the distance the car travels varies directly with the time, how far will the car travel in 6 hours?

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Problem 981

Use the diagram below to answer the questions on the right:
5 Create a triangle angle sum equation: (a) \square (b) Solve for x : \square (c) Find the measure of ABC\angle A B C : \square (d) Find the measure of ACB\angle A C B : \square (e) Find the measure of BAC\angle B A C : \square

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Problem 982

Solve the logarithmic equation. lnx+lnx2=4\ln x+\ln x^{2}=4
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is x=x= \square . (Round to the nearest thousandth as needed. Use a comma to separate answers as needed.) B. There is no solution.

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Problem 983

- Enter. New tad Tvy i-Ready Divide by Two-Digit Numbers, Part 2 - Instruction - Level E
Yumi needs 25 bricks to build one house in her village. Find how man! build if she has 675 bricks.
Estimate: Between 20 and 30 houses How many houses can Yumi build using 175 bricks? \square ×25=175\times 25=175 4×25=100?×25=175\begin{array}{l} 4 \times 25=100 \\ ? \times 25=175 \end{array} A. An errar has occurnet pleuse chter a number. 25)
7 8 9 4 5 6 1 2 3 0 潭

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Problem 984

cosθ=22\cos \theta=-\frac{\sqrt{2}}{2}
Find all the solutions to cosθ=22\cos \theta=-\frac{\sqrt{2}}{2} in [0,2π)[0,2 \pi). θ=3π4,5π4\theta=\frac{3 \pi}{4}, \frac{5 \pi}{4} (Simplify your answer. Type an exact answer, using π\pi as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
Write the general formula for all the solutions to cosθ=22\cos \theta=-\frac{\sqrt{2}}{2} based on the smaller angle. (Simplify your answer. Use angle measures greater than or equal to 0 and less than 2π2 \pi. Type an exact answer, using π\pi as needed. Use integers or fractions for any numbers in the expression. Type an expression using kk as the variable.)

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Problem 985

3b39=783 b-39=-78

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Problem 986

12=56+14a-\frac{1}{2}=-\frac{5}{6}+\frac{1}{4} a

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Problem 987

Oliver earns $12\$ 12 per hour doing extra lawn chores for his neighbor. They also pay him $40\$ 40 each month for cutting the grass. Which equation could be used to graph Oliver's earnings for the month? y=2x+12y=2 x+12 y=56xy=56 x y=40x+12y=40 x+12 y=12x+40y=12 x+40

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Problem 988

Example 2 A Stick is 20 cm long. A Student makes a 5%5 \% error in measuring the stick find two possible value for the student measurement /

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Problem 989

13=16x+34\frac{1}{3}=\frac{1}{6} x+\frac{3}{4}

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Problem 990

Make yy the subject of the formula c=w4ay3c=w-4 a y^{3}

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Problem 991

14x9=10x+314 x-9=10 x+3

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Problem 992

In this pyramid, the value of the top brick is found by adding the values of the two bottom bricks.
What expression should replace the question mark? Simplify your answer fully.

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Problem 993

4x8=4x+4x - 8 = 4x +

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Problem 994

Assignment Constrict quadratic equation whose roots are 2,3-2,-3 Sum and product of roots are 1.5 and -1.2

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Problem 995

Determine whether the solution of each equation below is the same as the solution of 2b+5b=282 b+5 b=28. Select Yes or No for each equation. 14b=1-\frac{1}{4} b=-1 Yes No 12b+33b+5=4412 b+3-3 b+5=44 Yes No 5b+4=3b45 b+4=3 b-4 Yes No 2(3b+4.8)=14.4-2(-3 b+4.8)=14.4 Yes No

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Problem 996

4. Below is a right-angled triangle.
Use trigonometry to work out the length x .

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Problem 997

JAYDEN
Bode and Grace solve the equation 1.2=6(40.4g)4.81.2=6(4-0.4 g)-4.8 for gg in different ways. Bode begins solving by dividing both sides of the equation by 6 and then adding 4.8 to both sides. Grace begins solving by adding 4.8 to both sides of the equation and then dividing both sides by 6 . Whose strategy is best? Why? Grace's strategy is best because adding 4.8 to both sides of the equation means that the left side will simplify to the whole number 5 . Grace's strategy is best because first adding 4.8 then dividing by 6 will solve the equation in the fewest number of steps. Bode's strategy is best because adding 4.8 after dividing by 6 will eliminate a term on the right side of the equation. Bode's strategy is best because first dividing by 6 then adding 4.8 will solve the equation in the fewest number of steps.

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Problem 998

A regular pentagon and an equilateral triangle have the same perimeter. The perimeter of the pentagon is 5(12x1)5\left(\frac{1}{2} x-1\right) inches. The perimeter of the triangle is 3(x5)3(x-5) inches. What is the perimeter of each figure? 9 inches 15 inches 20 inches 45 inches

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Problem 999

Suzanne buys 6 paint sets. Each set contains the same number of brushes. She buys 18 brushes. How many brushes are in each paint set?

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Problem 1000

Consider the rectangle below.
What is the value of x?x ? x=x= \square

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