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BARSIC [14]
3 years ago
10

There's a roughly linear relationship between the length of someone's femur (the long

Mathematics
1 answer:
hammer [34]3 years ago
4 0

For the linear relationship between the length of someone's femur (the long leg-bone in your thigh) and their expected height expressed as h = 2.35f + 54.7, the meaning of the f-value when h = 149 is the first option: <u>The femur length for someone with an expected height of 149 centimeters</u>.        

The linear relationship between the length of someone's femur and their expected height is:

h = 2.35f + 54.7     (1)                      

Where:

h: is the height in centimeters

f: is the length of the femur in centimeters

When h is 149, the f-value is:

f = \frac{h - 54.7}{2.35} = \frac{149 - 54.7}{2.35} = 40.1 cm

Hence, the length of someone's femur that has a height of 149 cm is 40.1 cm.

Therefore, the correct option is the first: The femur length for someone with an expected height of 149 centimeters.

You can find more about the linear relationship here: brainly.com/question/20319245?referrer=searchResults

I hope it helps you!

         

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<u>Algebra I</u>

  • Factoring

<u>Calculus</u>

Antiderivatives - integrals/Integration

Integration Constant C

U-Substitution

Integration Property [Multiplied Constant]:                                                                \displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx

Trig Integration:                                                                                                           \displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx<u />

<u />

<u>Step 2: Integrate Pt. 1</u>

  1. [Integral] Factor fraction denominator:                                                         \displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx
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<u>Step 3: Identify Variables</u>

<em>Set up u-substitution for the arctan trig integration.</em>

\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx

<u>Step 4: Integrate Pt. 2</u>

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Topic: AP Calculus AB

Unit: Integrals - Arctrig

Book: College Calculus 10e

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