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Mazyrski [523]
3 years ago
12

An anthropologist studies a woman's femur that was uncovered in Madagascar. To estimate the woman's height, he uses the equation

h=60+2.5fh=60+2.5f, where hh represents height in centimeters and ff represents length of the femur in centimeters. Which inequality best represents the lengths of the femur that would suggest the woman had a height greater than 160cm?
Choose 1 answer:
Mathematics
1 answer:
Lelu [443]3 years ago
5 0

Answer:

The inequality f>40 represents the length of the femur for which the woman had a height greater than 160cm.

Step-by-step explanation:

The given equation is

h=60+2.5f

Where, h is woman's height in centimeters and f is length of the femur in centimeters.

If woman's height is greater than 160cm, then

h>160

60+2.5f>160

Substract 60 from both sides.

2.5f>100

Divide both sides by 2.5.

f>40

Therefore the inequality  f>40 represents the lengths of the femur for which the woman had a height greater than 160cm.

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The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. Using a table of values,
tamaranim1 [39]

Answer:

Option A. 5

Step-by-step explanation:

From the question given above, the following data were obtained:

First term (a) = –3

Common ratio (r) = 6

Sum of series (Sₙ) = –4665

Number of term (n) =?

The number of terms in the series can be obtained as follow:

Sₙ = a[rⁿ – 1] / r – 1

–4665 = –3[6ⁿ – 1] / 6 – 1

–4665 = –3[6ⁿ – 1] / 5

Cross multiply

–4665 × 5 = –3[6ⁿ – 1]

–23325 = –3[6ⁿ – 1]

Divide both side by –3

–23325 / –3 = 6ⁿ – 1

7775 = 6ⁿ – 1

Collect like terms

7775 + 1 = 6ⁿ

7776 = 6ⁿ

Express 7776 in index form with 6 as the base

6⁵ = 6ⁿ

n = 5

Thus, the number of terms in the geometric series is 5.

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2 years ago
A student is trying to solve the system of two equations given below: Equation P: a + b = 6 Equation Q: 4a + 2b = 19 Which of th
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Answer:

-4(a + b = 6)

Step-by-step explanation:

Given

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4a + 2b = 19

Required

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Add to the second equation

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Solve brackets

(-4a -4b = -24) + (4a + 2b = 19)

Open bracket

-4a + 4a -4b  + 2b = -24 + 19

-4b  + 2b = -24 + 19

At this point, a has been eliminated;

From the list of given options, the option that answers the question is -4(a + b = 6)

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