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dimulka [17.4K]
2 years ago
10

Which of the following can be used to find the volume of a rectangular prism with length 7.5 centimeters, width 2 centimeters, a

nd height 4.2 centimeters?
Select all the apply

A. V = 15 + 4.2

B. V = 15 x 4.2 x 4.2

C. V = 15 x 4.2

D. V = 7.5 x 2 x 4.2

E. V = (7.5 + 2) x 4.2
Mathematics
1 answer:
mart [117]2 years ago
8 0

Answer:

  • C. V = 15 x 4.2
  • D. V = 7.5 x 2 x 4.2

Step-by-step explanation:

The volume is the product of the three dimensions, so can be figured as ...

  7.5 × 2 × 4.2 . . . . choice D

Carrying out the first multiplication, this will be equivalent to ...

  15 × 4.2 . . . . . . . . choice C

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Erica is a sheep farmer. She is having a problem with wolves attacking the flock. She starts with an initial 200 sheep and notic
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The equation for the situation is y=200(\frac{2}{3})^{x}

It will take around 9 years for her to have around 5 sheep

Step-by-step explanation:

The exponential decay growth/decay equation is y=a(b)^{x} , where

  • a is the initial value
  • b is the growth/decay factor
  • If b > 1, then it is a growth factor
  • If 0 < b < 1, then it is a decay factor

Erica is a sheep farmer. She is having a problem with wolves attacking the flock. She starts with an initial 200 sheep and notices that the population is two-thirds of the previous year

∵ The population is decreased

∴ The equation is decay

∵ The population is two-thirds of the previous year

∴ The decay factor is \frac{2}{3}

∵ She starts with an initial 200 sheep

∴ the initial value is 200

∵ The decay equation is y=a(b)^{x} , where y represent the

   population in x years

∵ a = 200

∵ b = \frac{2}{3}

∴ y=200(\frac{2}{3})^{x}

The equation for the situation is y=200(\frac{2}{3})^{x}

∵ The population after x years is around 5 sheep

- Substitute y by 5 to find x

∵ 5=200(\frac{2}{3})^{x}

- Divide both sides by 200

∴ 0.025=(\frac{2}{3})^{x}

- Insert ㏒ for both sides

∴ log(0.025)=log(\frac{2}{3})^{x}

∴ log(0.025)=xlog(\frac{2}{3})

- Divide both sides by log(\frac{2}{3})

∴ 9.098 = x

∴ x is around 9 years

It will take around 9 years for her to have around 5 sheep

Learn more:

You can learn more about the equation  in brainly.com/question/10666510

#LearnwithBrainly

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