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2 years ago

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Sonya is paid $417.96 for 27 hours of work. taylor is paid $495.36 for 32 hours of work. which employee is paid a higher hourly

rate?

1 answer:

kap26 [50]2 years ago

7 0

They got paid the same amount. If you divide 417.96 and 27, you get 15.48. And if you divide 495.36 and 32 you get 15.48.

I hope that helped you.

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Find f'(x) and state the domain of f':<br> f(x) = In (2x^2+1)

-Dominant- [34]

Answer:

$f'(x) = \frac{4x}{2x^2+1}$

Domain: All Real Numbers

General Formulas and Concepts:

<u>Algebra I</u>

Domain is the set of x-values that can be inputted into function f(x)

<u>Calculus</u>

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Derivative: $\frac{d}{dx} [ln(u)] = \frac{u'}{u}$

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = ln(2x² + 1)

<u>Step 2: Differentiate</u>

Derivative ln(u) [Chain Rule/Basic Power]: $f'(x) = \frac{1}{2x^2+1} \cdot 2 \cdot 2x^{2-1}$
Simplify: $f'(x) = \frac{1}{2x^2+1} \cdot 4x$
Multiply: $f'(x) = \frac{4x}{2x^2+1}$

<u>Step 3: Domain</u>

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

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2 years ago

Find the product of (3^6)(3)(3^5) Express your answer using exponents

VikaD [51]

Answer:

3^12

Step-by-step explanation:

When multiplying the same number with different exponents you have to add the the exponents. For example:

$a^x + a^y = a ^{x+y}$

So (3^6)(3)(3^5) or (3^6)(3^1)(3^5) = 3^(6+1+5) = 3^12

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2 years ago

Read 2 more answers

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dolphi86 [110]

Risk - 5 = 16. It is just mathematical language.

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3 years ago

The sale price of a laptop is R3 700,00, which is only 65% of the original price. Calculate the original price.

Mandarinka [93]

The original price of a laptop that is 65% of the sales price is R3 1076923.07692

<h3>How to find the original price when given the percentage?</h3>

The sale price of a laptop is R3 700,00,which is only 65% of the original price.

Therefore,

let

x = original price

Hence,

700, 000 = 65% of x

700,000 = 65 / 100 of x

cross multiply

70000000 = 65x

divide both sides by 65

x = 70000000 / 65

x = 1076923.07692

Therefore, the original price of the laptop is R3 1076923.07692

learn more on original price here: brainly.com/question/13947216

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1 year ago

Geometry!! <br><br>help me!!!

Tems11 [23]

Answer:

1. a=85.8 c=89.2

2. x=29.7 8x=2937. 3

Step-by-step explanation:

2. 8x+x+27°+66°=360°

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x=<u>29</u><u>,</u><u>666666</u><u>.</u><u>.</u><u>.</u>

<u> </u><u> </u>

=8X

=8 (29,66666...)

=237,333...

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10X=148° >divide both sides with 10

X=14.8

A=6x c=4x+32

=6(14.8) =4(14.8)+32

= 88.8 =91.2

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2 years ago