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3 years ago

10

Emmanuel will earn $8.00 per hour and work 12 hours per week. How much will he earn in one week? Question 3 options: a) $288.00

b) $192.00 c) $96.00 d) $384.00

1 answer:

Ugo [173]3 years ago

4 0

Answer:

C.96

Step-by-step explanation:

12*8=96

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A frame is 45 in. By 32 in. How many square feet are in the área of this frame ?

Alinara [238K]

Your answer would be 1,440 because 45×32= 1,440.

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3 years ago

Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.) 3 217

Soloha48 [4]

Answer:

$f(216) \approx 6.0093$

Step-by-step explanation:

Given

$\sqrt[3]{217}$

Required

Solve

Linear approximated as:

$f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)$

Take:

$x = 216; \triangle x= 1$

So:

$f(x) = \sqrt[3]{x}$

Substitute 216 for x

$f(x) = \sqrt[3]{216}$

$f(x) = 6$

So, we have:

$f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)$

$f(215 + 1) \approx 6 +1 \cdot f'(x)$

$f(216) \approx 6 +1 \cdot f'(x)$

To calculate f'(x);

We have:

$f(x) = \sqrt[3]{x}$

Rewrite as:

$f(x) = x^\frac{1}{3}$

Differentiate

$f'(x) = \frac{1}{3}x^{\frac{1}{3} - 1}$

Split

$f'(x) = \frac{1}{3} \cdot \frac{x^\frac{1}{3}}{x}$

$f'(x) = \frac{x^\frac{1}{3}}{3x}$

Substitute 216 for x

$f'(216) = \frac{216^\frac{1}{3}}{3*216}$

$f'(216) = \frac{6}{648}$

$f'(216) = \frac{3}{324}$

So:

$f(216) \approx 6 +1 \cdot f'(x)$

$f(216) \approx 6 +1 \cdot \frac{3}{324}$

$f(216) \approx 6 + \frac{3}{324}$

$f(216) \approx 6 + 0.0093$

$f(216) \approx 6.0093$

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=4x%20%5Csqrt%5B%20%2B%2015%20-%2015%5D%7B%3F%7D%20" id="TexFormula1" title="4x \sqrt[ + 15 - 1

blondinia [14]

Answer:

please what subject is this

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3 years ago

Which equations below represent lines that are perpendicular to the line that contains (1, - 2) and (3,4)^ Select all that apply

Nady [450]

Answer:

Select all the lines with slope $-\frac{1}{3}$ .

Step-by-step explanation:

Use the slopes to help you answer this kind of questions.

The slope of the line going through: (1, - 2) and (3,4) is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

We plug in the coordinates to get:

$m=\frac{4--2}{3-1}=\frac{6}{2}=3$

All lines that are perpendicular to this line has slope $-\frac{1}{3}$ .

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3 years ago

What is a reasonable estimate for the sum of 4 1/8+3 2/3+5 1/2

Bingel [31]

First, mentally add the whole numbers.
4+3+5=12
Now, look at the fractions. 1/8, 2/3, and 1/2.
2/3 is bigger than 1/2, so you can add in another whole number.
12+1=13
1/8 is tiny, and won't add a whole lot to the mix, so just leave that.
A reasonable estimate would be 13 1/8

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3 years ago

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