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joja [24]
3 years ago
13

Stephanie ran three sprints during practice. Her first sprint was 175 yards, her second sprint was 150 yards, and her third spri

nt was 225 yards. What was the total distance that Stephanie sprinted?
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
3 0

Answer:

Stephanie sprinted 550 yards.

Step-by-step explanation:

Given that,

Stephanie ran three sprints during practice.

Her first sprint was 175 yards, her second sprint was 150 yards, and her third sprint was 225 yards.

We need to find the total distance that Stephanie sprinted. It is simply equal to the sum of all above sprints.

Distance = 175 yards + 150 yards + 225 yards

= 550 yards

Hence, Stephanie sprinted 550 yards.

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The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the
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Let r represent the radius of cylinder.

We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be 1.5r.

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LSA=2\pi r h, where,

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Upon substituting our given values in above formula, we will get:

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Now we will find the total surface area of cylinder.

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TSA=2\pi r(2.5r)

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4 0
3 years ago
Recall Marginal Cost is the derivative of Total Cost, and Fixed Cost is the cost of producing zero units.
olga nikolaevna [1]

Answer:

The total cost of producing 91 units of ACME rocket fuel is $3999.99.

Step-by-step explanation:

The Marginal Cost is given by the following function

MC(q) = 200*(q+9)^{-5}

The total cost function is the integrative of the marginal cost function. So:

TC(q) = \int {MC(q)} \, dq

TC(q) = \int {200*(q+9)^{-5}} \, dq

TC(q) = -50*(q+9)^{-4} + K

In which K, the integrative constant, is the fixed cost. So K = 4000.

1. Find the total cost of producing 91 units of ACME rocket fuel.

This is TC(91).

So

TC(91) = -50*(91+9)^{-4} + 4000 = 3999.99

The total cost of producing 91 units of ACME rocket fuel is $3999.99.

8 0
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