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3 years ago

Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

4 0

(11/2 , 5) sorry if im wrong im not too sure

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If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the larg

vlabodo [156]

Consider all employees.

gross pay $32,600 - 100%,
total job benefits $33,600 - x%.

Then

$\dfrac{32,600}{33,600}=\dfrac{100}{x},\\ \\32,600\cdot x=33,600\cdot 100,\\ \\x=\dfrac{33,600\cdot 100}{32,600}=\dfrac{33,600}{326} \approx 103.07.$

Employee A receives 3.07% of gross pay in employee benefits.

gross pay $32,900 - 100%,
total job benefits $34,000 - x%.

Then

$\dfrac{32,900}{34,000}=\dfrac{100}{x},\\ \\32,900\cdot x=34,000\cdot 100,\\ \\x=\dfrac{34,000\cdot 100}{32,900}=\dfrac{34,000}{329} \approx 103.34.$

Employee B receives 3.34% of gross pay in employee benefits.

gross pay $33,400 - 100%,
total job benefits $33,900 - x%.

Then

$\dfrac{33,400}{33,900}=\dfrac{100}{x},\\ \\33,400\cdot x=33,900\cdot 100,\\ \\x=\dfrac{33,900\cdot 100}{33,400}=\dfrac{33,900}{334} \approx 101.50.$

Employee C receives 1.50% of gross pay in employee benefits.

gross pay $33,700 - 100%,
total job benefits $34,700 - x%.

Then

$\dfrac{33,700}{34,700}=\dfrac{100}{x},\\ \\33,700\cdot x=34,700\cdot 100,\\ \\x=\dfrac{34,700\cdot 100}{33,700}=\dfrac{34,700}{337} \approx 102.97.$

Employee D receives 2.97% of gross pay in employee benefits.

Answer: correct choice is B.

7 0

3 years ago

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Let g(x) = root of 4x and f(x) = 3x^3 + 8x^2 , what is the expression of the compound h(x) = g(f(x)) ?

Nitella [24]

The composite function as shown is $g(f(x)) =\sqrt{12x^3+32x^2}$

<h3>Composite functions</h3>

Given the following fnctions

$f(x) = 3x^3 + 8x^2\\g(x) = \sqrt{4x}$

The composite function g(f(x)) is expressed as:

$g(f(x)) =g(3x^3 + 8x^2)\\g(f(x) )=\sqrt{4(3x^3 + 8x^2)} \\g(f(x)) =\sqrt{12x^3+32x^2}$

Hence the composite function as shown is $g(f(x)) =\sqrt{12x^3+32x^2}$

Learn more on composite function here: brainly.com/question/10687170

4 0

3 years ago

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My mommy is being mean<br> :(

GREYUIT [131]

Lol why do u think that?

6 0

3 years ago

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5. List the Amplitude, Horizontal DilatioGraph the parent

dalvyx [7]

2n n2 3n 2x 2n 3n x 3 x 2x 3n 3x

7 0

3 years ago

Okay can some one tell me where I am going wrong I don't understand how I am getting this wrong

Umnica [9.8K]

Answer:

p=28.2

Step-by-step explanation:

l=9.8

w=4.3

it was close tho

7 0

3 years ago

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