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KATRIN_1 [288]
3 years ago
11

The engine of a car has a displacement of 305 cubic inches. what is the displacement in cubic feet? round your answer to 2 decim

al places.
Mathematics
2 answers:
ipn [44]3 years ago
5 0
 solution
 1 inch = 2.54 centimeters
Therefore, to convert to cubic measurements
 (1 in)³ = (2.54 cm)³
 Thus;
1 in³ = 16.387 cm³
Hence 305 cubic inches will be equivalent to
  305 × 16.387
 = 4998.035 cm³

Ymorist [56]3 years ago
3 0

Answer:

0.18 cubic feet (in 2 decimal places)

Step-by-step explanation:

The relationship between the unit of measurement inches and the unit of measurement feet may be expressed mathematically as

12 Inches = 1 feet

finding the cube of both sides i.e both sides to the power of 3,

1728 cubic inches = 1 cubic feet

therefore,

305 cubic inches

= 305/1728 cubic feet

= 0.1765 cubic feet

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Step-by-step explanation:

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2 years ago
The average annual income I in dollars of a lawyer with an age of x years is modeled with the following function I=425x^2+45,500
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You did not include the questions, but I will give you two questions related with this same statement, and so you will learn how to work with it.

Also, you made a little (but important) typo.

The right equation for the annual income is: I = - 425x^2 + 45500 - 650000

1) Determine <span>the youngest age for which the average income of a lawyer is $450,000

=> I = 450,000 = - 425x^2 + 45,500x - 650,000

=> 425x^2 - 45,000x + 650,000 + 450,000 = 0

=> 425x^2 - 45,000x + 1,100,000 = 0

You can use the quatratic equation to solve that equation:

x = [ 45,000 +/- √ { (45,000)^2 - 4(425)(1,100,000)} ] / (2*425)

x = 38.29 and x = 67.59

So, the youngest age is 38.29 years

2) Other question is what is the maximum average annual income a layer</span> can earn.

That means you have to find the maximum for the function - 425x^2 + 45500x - 650000

As you are in college you can use derivatives to find maxima or minima.

+> - 425*2 x + 45500 = 0

=> x = 45500 / 900 = 50.55

=> I = - 425 (50.55)^2 + 45500(50.55) - 650000 = 564,021. <--- maximum average annual income
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