2 years ago

Write the number in standard form.

Mathematics

1 answer:

WINSTONCH [101]2 years ago

8 0

Answer:

The number in standard form is 233.64

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A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

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Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

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2 years ago

Lauren and her family went to Maggiano's for dinner and spent $92.00. Lauren's family wanted to leave a 15% tip. How much will L

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Answer:

105.8

Step-by-step explanation:

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Is it in scientific notation? Answer Yes or No

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Answer:yes

Step-by-step explanation:

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A fruit vendor has 28 pears and 16 oranges.

Westkost [7]

<span>16:28 is the ratio But you have to get that in the simplest form so it would be 4:7</span>

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The area of this rectangle is 165 sq meters the width is 22 meters what’s is the perimeter?

Vesna [10]

Answer:

59 meters

Step-by-step explanation:

A=L*W

165=L*22

L=165/22=7.5

7.5=L

P=L+L+W+W

7.5+7.5+22+22=59

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2 years ago