Giving brainliest for CORRECT awnser.

Giving Brainliest For CORRECT Awnser.

Answers

Answer 1

Answer:

x < 18 - 10

x < 8

Step-by-step explanation:

Answer 2

Answer:

8 > x

Step-by-step explanation:

-10 > x- 18

Isolate the variable, x. Note the inequality sign, treat it like an equal sign; what you do to one side, you do to the other. Add 18 to both sides:

-10 (+ 18) > x - 18 (+18)

-10 + 18 > x

Simplify. Combine like terms:

(-10 + 18) > x

18 - 10 > x

8 > x

8 > x is your answer.

~


Related Questions

What function has zeros at x=10 and x=2

Answers

Answer:

  f(x) = x^2 -12x +20

Step-by-step explanation:

There are an infinite number of functions with zeros at those values of x. One simple polynomial function with those zeros is ...

  f(x) = (x -10)(x -2) . . . . . each zero contributes a factor

  f(x) = x^2 -12x +20

Brainliest for anyone if they get this CORRECT.

Answers

hello

it is c

hehehehe hope it helps

Answer:

The option c. (x-6)(x-1)

Step-by-step explanation:

x^2 - 7x +6

S=-7

P=6

x^2-1x-6x+6

x(x-1)-6(x-1)

(x-6)(x-1)

I really need help!! HELP ASAP PLEASE!!!
Which figure has an area of 12 square units?


Answers

Answer:

Should be the bottom one

Step-by-step explanation:

You can find this by counting. It is the only one with 12 units.

Answer:

Step-by-step explanation:is number 4 i pick it and its correct


There are 14 math teachers and 26 science teachers at
school today. What is the ratio of math teachers to math
and science teachers at school?​

Answers

Answer: 2.86

Step-by-step explanation:

14+26=40

40/14

Answer:

2.86

Step-by-step explanation:

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! Show your work!

Answers

Answer:

P represents the population in year 0

Step-by-step explanation:

The exponential growth function is f(x) = a (1 + r)^t, where a is the initial

amount (at t = 0), (1 + r) is the factor of growth , r is the rate of growth

in decimal ant is the time of growth

the function C(t) = P(1 + r)^t represents the population of

centerville at year t, where P is the initial population and r is the

rate of increase

If your investment is increased 10% annually, then that means

each year, your total has multiplied itself by 110% (the growth factor

is 1 + 10/100 = 1.1)

(1 + r) is the factor grows each year

C(t) = P(1 + r)^t

C depends on P(starting population) , r(the increasing rate and

t(the time in year)

r is the rate of increase means the percentage of increasing , then

0 < r < 1

r is not less than 0

P is the initial amount when t = 0

P represents the population in year 0

Answer:

P represents the population in year 0

Step-by-step explanation:

Solve for c.
6c + 14 = -5c + 4 + 9c

Answers

the answer for this question is c= -5

Answer:

C equal -5

Step-by-step explanation:

Look at the attachment

Can you work out this math puzzle?

Answers

Triangle=10
Circle=5
Square:3.5
Half square:1.75
Answer to ?:26.25

The value of the puzzle is 17

The value of the triangle :

30/3 = 10

Value of Circle :

10/2 = 5

Value of whole yellow square :

8/2 = 4

Value of half-yellow square :

4/2 = 2

Using the above information:

Triangle + Circle + half-square

10 + 5 + 2 = 17

Therefore, the solution to the puzzle is 17

Learn more on puzzles : https://brainly.com/question/31416634

#SPJ6

What is 1 2/3 - 2 1/3?

Answers

the answer for this question is -2/3

Step-by-step explanation:

First it will be easer if you turn both sides into improper fractions

5/3-7/3

Now do 5-7

5-7=-2

The bottom of the fraction stays the same

-2/3 is your answer.

The edges of a cube increase at a rate of 2 cm divided by s. How fast is the volume changing when the length of each edge is 40 ​cm? Write an equation relating the volume of a​ cube, V, and an edge of the​ cube, a. nothing Differentiate both sides of the equation with respect to t. StartFraction dV Over dt EndFraction equals(nothing )StartFraction da Over dt EndFraction ​(Type an expression using a as the​ variable.) The rate of change of the volume is nothing cm cubed divided by sec. ​(Simplify your​ answer.)

Answers

Answer:

Step-by-step explanation:

Let the edge of the cube be a .

Given

[tex]\frac{da}{dt} = 2 cm/s[/tex]

Volume V = a³

[tex]\frac{dV}{dt} = 3a^ 2\frac{da}{dt}[/tex]

= 3a² x 2

= 6a²

If a = 40 cm

[tex]\frac{dV}{dt} = 6 \times 40\times40[/tex]

= 9600 cm³/s .

Cody paid $24.00 to join an online music service. If she purchases 15 songs each month at a cost of $1.25 per song, what will be the total amount she has spent after 6 months?

Answers

15 songs x 1.25 per song = $18.75 per month for songs.

18.75 per month x 6 months = $112.50

112.50 + 24.00 = $136.50 total

Twenty words were randomly selected from two textbooks. Each set gives the number of letters in each of the twenty words for that textbook.




Briefly describe how the word lengths compare between textbook 2 and textbook 1.



Briefly describe the variability in the length of words in textbook 2 compared to textbook 1. PLEASE HURRY :(

Answers

Answer:

k = 13The smallest zero or root is x = -10

Step-by-step explanation:

you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+10 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

What is the sum of 6 x 12?

Answers

Answer:

72

Step-by-step explanation:

because 6 x 10 is 60 so 6 x 2 is 12, so 12 + 60 is 72.

The perimeter of a rectangle is 62 meters. The length is 4 more than 2 times the width. What is the length?

Answers

Answer:

4x+ 1 = 24 + 1 = 25 m.

Step-by-step explanation:

Given, perimeter = 62 m. Perimeter : 2 (L+W) = 62 m. hence, L+W = 31 m. x = 30/5

Answer:

Step-by-step explanation:

let width be x

length = 2x + 4

2(x + 2x + 4) = 62

6x + 8 = 62

6x = 54

x = 9

length = 2(9) + 4 = 22cm

A soda manufacturer claims that its Cherry Fizz soda has more carbonation than a competitor’s Cherry Eclipse soda. Bottles of both types of soda are opened, covered with a balloon, and then shaken. The diameter of each balloon is then measured. The mean balloon diameters are 2.3 inches for the Cherry Fizz soda and 2.1 inches for the Cherry Eclipse soda. A 90 percent confidence interval to estimate the difference in mean diameters, in inches, is (−0.8,1.2). Which of the following claims is supported by the interval?

Answers

Answer:

E) Because the interval contains 0, it is possible that there is no difference in mean carbonation levels.

Step-by-step explanation:

Hello!

The soda manufacturer claims that it's Cherry Fizz soda that has more carbonation than the competitor's Cherry Eclipse soda.

To test this claim they compared the carbonation by opening bottles of each soda, covered them with a balloon, and agitated the bottle to release the gas into the ballon. Later the balloon's diameter of each bottle of soda was measured.

Be the variables:

X₁: Diameter of a balloon filled with the gas of a Cherry Fizz soda bottle.

X₂: Diameter of a balloon filled with the gas of a Cherry Eclipse soda bottle.

X[bar]₁= 2.3 inches

X[bar]₂= 2.1 inches

The difference between the two means μ₁-μ₂ was estimated with a 90% CI, obtaining: [-0.8;1.2]inches

Usings 90% confidence level you can expect the interval [-0.8;1.2]inches to include the difference between the diameter of the balloons filled with the gas of the Cherry Fizz soda and the diameter of the balloons filled with the gas of the Cherry Eclipse soda.

The claims are:

A) Because 2.3 inches is larger than 2.1 inches, the manufacturer is correct, and Cherry Fizz has more carbonation.

INCORRECT, the given values are sample measures, you cannot reach any valid conclusions by simply comparing them.

B) Because the interval has more positive than negative values, Cherry Fizz has more carbonation.

INCORRECT, the confidence interval provides a range of values for the estimated parameter, it is equally probable that the parameter is closer to the lower bond, the upper bond, or in the middle of the interval.

C) Because 2.3 and 2.1 are very similar, there is no difference in the mean carbonation levels.

INCORRECT, same as in item A, you cannot reach any valid conclusion by just comparing the sample values, a propper hypothesis test is needed.

D) The interval cannot be interpreted because negative measurements are not possible.

INCORRECT, this interval vas made to estimate the difference between the two means, therefore if one value is less than the other it is possible to observe negative values.

If the CI was to estimate the value of the mean diameter of the balloons of one of the groups, then a negative measurement would be invalid.

E) Because the interval contains 0, there may be no difference in mean carbonation levels.

CORRECT

If you were to test the hypotheses

H₀: μ₁-μ₂=0

H₁: μ₁-μ₂≠0

Using a significance level, complementary to the confidence level used to construct the interval α: 0.1 you can decide whether or not the difference between population means are equal to zero or not.

If the interval contains the zero, then you do not reject the null hypotheses and there is no difference between the population means.

If the interval doesn't include the zero, then you reject the null hypothesis.

I hope this helps!

E) Because the interval contains 0, it is possible that there is no difference in mean carbonation levels.

What will be the answer?

The soda manufacturer claims that it's Cherry Fizz soda that has more carbonation than the competitor's Cherry Eclipse soda.

To test this claim they compared the carbonation by opening bottles of each soda, covered them with a balloon, and agitated the bottle to release the gas into the ballon. Later the balloon's diameter of each bottle of soda was measured.

Be the variables:

X₁: Diameter of a balloon filled with the gas of a Cherry Fizz soda bottle.

X₂: Diameter of a balloon filled with the gas of a Cherry Eclipse soda bottle.

X[bar]₁= 2.3 inches

X[bar]₂= 2.1 inches

The difference between the two means μ₁-μ₂ was estimated with a 90% CI, obtaining: [-0.8;1.2]inches

Usings 90% confidence level you can expect the interval [-0.8;1.2]inches to include the difference between the diameter of the balloons filled with the gas of the Cherry Fizz soda and the diameter of the balloons filled with the gas of the Cherry Eclipse soda.

The claims are:

A) Because 2.3 inches is larger than 2.1 inches, the manufacturer is correct, and Cherry Fizz has more carbonation.

INCORRECT, the given values are sample measures, you cannot reach any valid conclusions by simply comparing them.

B) Because the interval has more positive than negative values, Cherry Fizz has more carbonation.

INCORRECT, the confidence interval provides a range of values for the estimated parameter, it is equally probable that the parameter is closer to the lower bond, the upper bond, or in the middle of the interval.

C) Because 2.3 and 2.1 are very similar, there is no difference in the mean carbonation levels.

INCORRECT, same as in item A, you cannot reach any valid conclusion by just comparing the sample values, a propper hypothesis test is needed.

D) The interval cannot be interpreted because negative measurements are not possible.

INCORRECT, this interval vas made to estimate the difference between the two means, therefore if one value is less than the other it is possible to observe negative values.

If the CI was to estimate the value of the mean diameter of the balloons of one of the groups, then a negative measurement would be invalid.

E) Because the interval contains 0, there may be no difference in mean carbonation levels.

CORRECT If you were to test the hypothesesH₀: μ₁-μ₂=0H₁: μ₁-μ₂≠0

Using a significance level, complementary to the confidence level used to construct the interval α: 0.1 you can decide whether or not the difference between population means are equal to zero or not.

If the interval contains the zero, then you do not reject the null hypotheses and there is no difference between the population means.

If the interval doesn't include the zero, then you reject the null hypothesis.

Thus the interval contains 0, it is possible that there is no difference in mean carbonation levels.

To know more about null Hypothesis follow

https://brainly.com/question/15980493

Find the arc length of the partial circle. with a radius of 1

Answers

Answer:

1/2π

Step-by-step explanation:

For khan, you HAVE to put the pi symbol. just type pi and itll work

Answer:

1/2 pi (Sorry i don't have the pi symbol)

Step-by-step explanation:

IL GIVE YOU BRAINLIST !! * have to get it right * An equation for the line graphed is

Answers

Answer:

y = 3/2x+3

Step-by-step explanation:

The y intercept is 3.  That is where it crosses the y axis

The slope is

m= (y2-y1)/(x2-x1)  and we have points(0,3) and (-2,0)

   = (0-3)/(-2,0)

  =-3/-2

  =3/2

Using the slope intercept form of a line

y = mx +b where m is the slope and b is the y intercept

y = 3/2x+3

What is a Regression equation

Answers

Answer:

Regression equations can help you figure out if your data can be fit to an equation.This is extremely useful if you want to make predictions from your data- either future predictions or indications of past behavior.For example,you might want to know what your savings are going to be worth in the future.There are several types of regression equations,some of the more common include exponential and simoke linear regression.In elementary statistics,the regression equation you are most likely to come across is the linear form.

Simplifying products and quotients of powers

7^2•7^8/7^4=7^a/7^4=7^b

A=
b=

Answers

Answer:

a=10

b=6

Step-by-step explanation:

add 2 to 8, to get a, then subtract 4 from 10 to get b

Answer:

10 and 6

Step-by-step explanation:

KARLA has spent $33 on food. She bought milk, cheese, and meat. The milk cost half as much as the cheese and the meat cost four times as much as the cheese. Which equation will help you find the cost of the cheese?

Answers

C+.5c+4c=$33 is the correct equation

A North American company manufactures rivets for use in car production. A sample of forty rivets from the production line had mean 6.803 and standard deviation 0.275 (both in 1/100 of an inch). On communicating these results to the company headquarters in Europe, a request is made for the summary statistics to be converted into millimeters. Given that one inch is 2.538 centimeters, find the mean and standard deviation of the sample in millimeters. What is the mean in millimeters

Answers

Answer:

Mean = 1.73 mm

Standard deviation = 0.0698 mm

Step-by-step explanation:

Given:

Sample size, n = 40

Mean, u = 6.803

Standard deviation = 0.275

a) Given that one inch is 2.538 centimeters, to find the mean in millimeters we have:

[tex] 6.803 * \frac{1}{100} [/tex]

Converting to cm, we have:

[tex] 6.803 * \frac{1}{100} * 2.538 = 0.173 cm[/tex]

Converting to mm, we know 1cm = 10 mm,

0.173 * 10 = 1.73 mm

b) Given that one inch is 2.538 centimeters, to find the standard deviation in millimeters we have:

[tex] 0.275 * \frac{1}{100} [/tex]

Converting to cm, we have:

[tex] 0.275 * \frac{1}{100} * 2.538 = 0.00698 cm[/tex]

Converting to mm, we know 1cm = 10 mm,

0.00698 * 10 = 0.0698mm

In this exercise we have to use the knowledge of statistics to calculate the car production, so we have to:

Mean: [tex]1.73mm[/tex]Standard deviation: [tex]0.0698 mm[/tex]

Given the following information, we have:

Sample size n = 40 Mean u = 6.803 Standard deviation = 0.275

A) Find the convertion to the mean in milimeters, will be:

[tex]6.803*(1/100)*2.538=0.173 cm\\=1.73 mm[/tex]

B) Find the convertion to the stardard deviation in milimeters, will be:

[tex]0.275*(1/100)*2.538=0.00698\\=0.0698 mm[/tex]

See more about statistics at brainly.com/question/10951564

A medical researcher is studying the spread of a virus in a population of 1000 laboratory mice. During any week, there is an 80% probability that an infected mouse will overcome the virus, and during the same week there is a 10% probability that a noninfected mouse will become infected. Three hundred mice are currently infected with the virus. How many will be infected next week and in 3 weeks

Answers

Answer:

The number of mice that will be infected next week are 130 while

The number of mice that will be infected in 3 weeks are 111

Step-by-step explanation:

From the information given , the researcher is studying the spread of a virus in a population of 1000 laboratory mice. i.e, n = 1000

Number of infected = 300

Non infected = 1000 - 300 = 700

Probability an infected mouse will overcome = 80% = 0.8

Probability a noninfected mouse becomes infected = 10% = 0.10

The number of infected that will overcome = 0.8 * 300 = 240

The number of non infected that will become infected = 0.1 * 700 = 70

The number that will be infected on the first week =

300 - 240 + 70

= 130

Number that will be healthy on the first week =

700 + 240 - 70

= 870

Calculating for week 2:

The number of infected that will overcome = 0.8 * 130 = 104

The number of non infected that will become infected = 0.10 * 870 = 87

The number that will be infected on the second week =

130 - 104 + 87

= 113

Number that will be healthy on the second week =

870 + 107 - 87

= 887

Calculating for week 3:

The number of infected that will overcome = 0.8 * 113 = 90.4

The number of non infected that will become infected = 0.10 * 887 = 88.7

The number that will be infected on the third week =

113 - 90.4 + 88.7

= 111.3 ≈ 111

Number that will be healthy on the third week =

887 + 90.4 - 88.7

= 888.7 ≈ 889

From our calculations, the number of mice that will be infected next week are 130

The number of mice that will be infected in 3 weeks are 111

Sara Bought a computer that was originally priced at $896.The computer was on sale for 12% off. When she bought the computer, a 7% tax was added to the sale price. How much did Sara spend on the computer. Round to the nearest cent!

Answers

Answer:

$733.29. Simply because you take $896•0.12 to find the 12% off and then you take that subtracted by the starting total. After you get the 12% off then you multiply that number by .07 to get the sales tax. After you find that then you add the number you got after multiplying to the number you got after taking off the 12%.

Step-by-step explanation:

a circle with area 36pi has a sector with a central angle of 48°. what is the area of the sector?

Answers

Answer:4.8π

Step-by-step explanation:

Φ=48°

Area of circle=36π

Area of circle=π x r^2

36π=πr^2

Dividing both sides by π we get

r^2=36π/π

r^2=36

Take them square root of both sides

√(r^2)=√(36)

r=6

Area of sector=Φ/360 x π x r x r

Area of sector=48/360 x π x 6 x 6

Area of sector=(48xπx6x6)/360

Area of sector=1728π/360

Area of sector=4.8π

Erin built a wooden box to hold hay on her farm. The box is 3 m long, 1 m wide, and 1 m high. Hay costs $14 per cubic meter.

Answers

Answer:

It will cost 42 to completely fill the box with hay.

have a good day <3

Parallel lines s and t are cut by a transversal, r.

Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are 1, 2, 3, 4; the angles formed with r and t are 5, 6, 7, 8.

If the measure of angle 1 is 68°, what is the measure of angle 5?
22°
68°
112°
158°

Answers

Answer:

68°

Step-by-step explanation:

Angles 1 and 5 are corresponding angles on parallel lines, hence they are equal

Answer:

B.

Step-by-step explanation:

9/4 - 4/3 plz help me

Answers

Answer:

11/12

Step-by-step explanation:

Find the common denominator.

4 and 3 both go into 12.

4 goes into twelve three times so multiply the denom and the num.

9/4 = 27/12

3 goes into twelve four times.

4/3 = 16/12

Subtract.

27/12-16/12

= 11/12

Answer: 11/12

Step-by-step explanation:

multiply 3 and 4 to get a common denominator.

multiply 3 by 9 and 4 by 4

this gets u 27/12 and 16/12

subtract.

11/12

3x+20=5x how many Solutions does it have

Answers

Answer:

one

Step-by-step explanation:

3x + 20 = 5x

20 = 5x - 3x

20 = 2x

x = 10

one solution

3x+20=5x only have one solution

what’s the gcf of x^2 and 5x

Answers

Answer:

the GCF of x^2 and 5x is x

Find the prime factors of each term in order to find the greatest common factor (GCF).

Write the perimeter of the floor plan shown as an algebraic expression in x.

Answers

Answer: 8+2x

Step-by-step explanation:

Hi, Perimeter is the distance around a two-dimensional shape.

To calculate it, we have to add all the side lengths of the figure. The missing side  is the ? side (right side). To obtain it we have to subtract the top right side length (2) to the left side length (12)

So, the expression is equal to:

P = 12+ (x-4) + (x-12) +2 +(12-2)

P = 12+ x - 4 +x -12+2 +10

P = 12-4-12+2+10+x+x

P =8+2x



If you put all the sunflowers together end to end, what would be the total length of all the sunflowers?

Answers

Answer:

7 1\68

Step-by-step explanation:

all i did was look up a fraction calculator

calculator soup is the one i used :)

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(lord of the flies) (brainliest) (100 points) What is represented by the behavior of the boys during the ritualistic dance in Chapter 7? What is represented metaphorically through the killing of the sow in Chapter 8? How does Jack differ from Ralph as a leader, as seen in Chapter 10? In other words, what does Jack do as a leader that Ralph never did? What is ironic about the fire in Chapter 12? Solve the quadratic equation.2x2 11x 21 = 0A)32 and 7B)32 and 7C)23 and 17D)23 and 17 What is the true solution to the logarithmic equation?log2[log2 (4x)) - 1x=-4X-0X-2X=4 y = -16x2 + 242x + 78 AssignmentHealth Club Fees You are choosing between two health clubs Club A offers membership for a fee of $7 plus a monthly fee of $23. Club B offers membership for atee of $35 plus a monthly fee of $16. After how many months will the total cost of each health club be the same?in month(s) the total cost of each health club will be the same 40/50 to a simpel fraction Donovan company incurred the following costs while producing 2000 units: Direct Materials, $15 per unit; direct labor, $5 per unit; variable manufacturing overhead, $12 per unit; variable selling and administrative costs, $14, per unit; total fixed overhead costs, $20,000; total fixed selling and administrative costs, $10,000. There are no beginning inventories. What is the unit productive cost using absorption costing? a. $32 per unit b. $42 per unit c. $52 per unit d. $61 per unit What is the unit product cost using variable costing? a. $32 per unit b. $44 per unit c. $46 per unit d. $61 per unit What is the operating income using absorption costing if 1800 units are sold for $100 each? a. $104,400 b. $96,000 c. $79,200 d. $69,200 What is the operating income using variable costing if 1900 units are sold for $100 each? a. $57,400 b. $72,600 c. $80,200 d. $102,600 *Formulas or explanations with each part of the problem. when would you need to summarize and article Which of the following are the major "reservoirs" of carbon in the environment?Select one or more:A. the SunB. natural habitatsC. the Earth's interiorD. the atmosphereE. sedimentsE the oceansG. the human body Which is an example of an effective study skill? 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None of them has the ability to control how much the others hunt, and each hunter cares only about his own profitability and not the state of the recreational wildlife game area.Assume that as long as no more than one hunter hunts intensively, there are enough animals to restock the recreational wildlife game area. However, if two or more hunt intensively, the recreational wildlife game area will become useless in the future. Of course, hunting intensively earns a hunter more money and greater profit because he can sell more animals.The recreational wildlife game area is an example of _____________ because the animals in the recreational wildlife game area are ________ and ___________. Read the following passage:In his 2005 autobiography, Brison explains that he"eventually longed for the slower pace of the Midwest"after he left Ohio.Which method is used to integrate the quotation into this passage?A. The name of the source of the quotation appears at theend of the quotation.B. The quotation is presented as part of the writing and doesnot stand on its own.O c. The quotation is paraphrased in the words of the writer ofthe passage.O D. The name of the author of the quotation is inserted at theend of the quotation. The marcus family goes out to eat 4 nights during vacation. There are two adults and two children in their familyThe first night they go out to a buffet, the cost is 24.99 per adult and 12.99 per child. Plus 8% sales tax, how much did dinner cost? Why did American policy makers promote expansionism in the late 1800s? Determine which ordered pairs are also in the relation where the rise is -2, the run is3, and (6,2) lies on the line.a) (-9, -12) and (-6, 2)b) (-3, 4) and (3,8)c) (0,9) and (-2, 12)d) (9,0) and (12, -2) Which conjugated verb best completes this sentence?Yolanda y Patricia por correo electrnico.A. les comunicanB. te comunicasC. se comunicaD. se comunican 15)Which expression is a PRODUCT?A)8(6+ 3)B) 8(6 + 3)5(2) + 2(6 x 3)D)5(2 + 3) - 4(8 + 1) a. What is the mass in grams of 4.2 mols of FeO2? HELPWhat is the longest line segment that can be drawn in a right rectangular prism that is 15cm long, 8 cm wide, and 7 cm talk What is the organizational structure of this excerpt?A. cause and effectB. compare and contrastC. central ideas and supporting detailsD. problem and resolution