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Alborosie
3 years ago
15

Given f(x)= x-3 and g(x)= 2x+1 Find (fºg) (-10)

Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0

Answer:

- 66

Step-by-step explanation:

Evaluate g(- 4) then substitute the value obtained into f(x) , that is

g(- 4) = - 2(- 4)² = - 2 × 16 = - 32, then

f(- 32) = 2(- 32 - 1) = 2 × - 33 = - 66

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A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of t
Andre45 [30]

Answer:   Width of box is not taken up by pencils =  2\dfrac58\text{ inches}

Width of each pencil =\dfrac38\text{ inches}

Step-by-step explanation:

Given: Width of pencil box = 5\dfrac14\text{ inches}=\dfrac{21}{4}\text{ inches}

Width of seven pencils = 2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}

Width of box is not taken up by pencils =  Width of pencil box  - Width of seven pencils

\left \{ {{y=2} \atop {x=2}} \right. \dfrac{21}{4}-\dfrac{21}{8}\\\\=\dfrac{21\times2-21}{8}\\\\=\dfrac{21}{8}\text{ inches}=2\dfrac58\text{ inches}

Width of box is not taken up by pencils =  2\dfrac58\text{ inches}

Width of each pencil = (Width of seven pencils ) ÷ 7

=\dfrac{21}{8}\div7\\\\=\dfrac{21}{8}\times\dfrac17\\\\=\dfrac38\text{ inches}

Width of each pencil =\dfrac38\text{ inches}

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2 years ago
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7.003 x 10 to the power of 4
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In scientific notation, just move the decimal point over however many numbers are in the power. 

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Electric utility poles in the form of right cylinders are made out of wood that costs
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The cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft is $782.1

<h3>How to calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft?</h3>

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Cost per cubic foot = $11.07 per cubic foot

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The volume of the cylinder is calculated as:

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Cost = $11.07 * 70.65

Evaluate

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Hence, the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft is $782.1

Read more about volume at:

brainly.com/question/1972490

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