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kondor19780726 [428]
3 years ago
8

Clarissa helps her mom put the 200-Newton lawn mower in the back of her mom’s truck. They lift the mower up from the ground to t

he truck bed, which is 1.1 meters above the ground. How much work do Clarissa and her mom do?
Mathematics
1 answer:
mihalych1998 [28]3 years ago
6 0

Answer:

220 N * m or 220 J

Step-by-step explanation:

We have that the work formula would be the applied force multiplied by the distance traveled, that is:

W = F * d

In this case the F is 200 N and the distance is 1.1 meters, therefore we replace:

W = 200 * 1.1

W = 220 N * m = 220 J

Therefore the work carried out by Clarissa and her mom is 200 joules.

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Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.

<h3>What is an exponential function?</h3>

An exponential function is modeled by:

y = ab^x

In which:

  • a is the initial value.
  • b is the rate of change, as a decimal.

In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:

A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}

The population will be of 600 when A(t) = 600, hence:

A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}

600 = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}

\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{600}{4800}

\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{1}{8}

\left(\frac{1}{2}\right)^{\frac{t}{8}} = \left(\frac{1}{2}\right)^3

Hence:

t/8 = 3.

t = 24.

It will take 24 years for the current population of 4800 deer to reduce to 600.

More can be learned about exponential functions at brainly.com/question/25537936

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2 years ago
What is the diameter of a circle if the radius is 400 millimeters​
Luda [366]

Answer:

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Step-by-step explanation:

d=2r=2·400=800

5 0
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shepuryov [24]

Answer:

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Step-by-step explanation:

Each ratio is irreducible, and they are different. Hence they are not the same value, so cannot be a proportion. A proportion is two equal ratios.

  5 : 3 = 40 : 24

  13 : 8 = 39 : 24 . . . . not the same as 40 : 24

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<em>Examples of proportions</em>

  5/3 = 40/24 . . . is a proportion

  13/8 = 39/24 . . . is a proportion

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3 years ago
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MatroZZZ [7]

Answer:

I think its a) I only

Step-by-step explanation:

b gives a random value that isn't relevant to the question. C is backwards because F would increase more than C.

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Answer:

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Step-by-step explanation:

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