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Sunny_sXe [5.5K]

3 years ago

9

A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4,500. Write and solve

an absolute value inequality to determine the range of salaries at this company.

1 answer:

nasty-shy [4]3 years ago

4 0

<span>|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000</span>

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Four students are trying to determine what number must replace the question (x^2)^7=x^4*x^8 in order to make it true

tiny-mole [99]

Answer:

Joe is correct

Step-by-step explanation:

Given equation:

$(x^2)^?=x^4 \cdot x^8$

The exponent outside the bracket is a question mark and the students are trying to determine the value of the question mark.

For ease of answering, let y be the unknown number (question mark):

$\implies (x^2)^y=x^4 \cdot x^8$

First, simplify the equation by applying exponent rules to either side of the equation:

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}\quad\textsf{to the left side}:$

$\implies (x^2)^y=x^4 \cdot x^8$

$\implies x^{2y}=x^4 \cdot x^8$

$\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c} \quad \textsf{to the right side}:$

$\implies x^{2y}=x^4 \cdot x^8$

$\implies x^{2y}=x^{4+8}$

$\implies x^{2y}=x^{12}$

Now, apply the exponent rule:

$x^{f(x)}=x^{g(x)} \implies f(x)=g(x)$

Therefore,

$x^{2y}=x^{12}\implies 2y=12$

Finally, solve for y:

$\implies 2y=12$

$\implies 2y \div 2 = 12 \div 2$

$\implies y=6$

Therefore, <u>Joe is correct</u> as the unknown number is 6.

6 0

2 years ago

Read 2 more answers

Virty [35]

<u>Answer-</u>

$\boxed{\boxed{\dfrac{\widehat{BC}}{\widehat{DE}}=\dfrac{3}{4}}}$

<u>Solution-</u>

We know that arc length is the product of radius and central angle in radian.

i.e $\text{Arc length}=\text{Radius}\times \text{Central angle}$

Here,

$\theta_{BC}=1.18\ rad,\ \theta_{DE}=2.36\ rad\\\\AD=\dfrac{2}{3}AB\Rightarrow AB=\dfrac{3}{2}AD$

So,

$\dfrac{\widehat{BC}}{\widehat{DE}}=\dfrac{AB\times 1.18}{AD\times 2.36}$

$=\dfrac{\frac{3}{2}AD\times 1.18}{AD\times 2.36}$

$=\dfrac{3\times 1}{2\times 2}$

$=\dfrac{3}{4}$

4 0

3 years ago

What is the square root of 49z^2

ahrayia [7]

√49z²
= √(7z)². [ here, Square cancles sq. root]
= 7z

May be Helpful.
Thank you!

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=3%2F5%20of%205%2F9%5C%5C" id="TexFormula1" title="3/5 of 5/9\\" alt="3/5 of 5/9\\" align="absm

pychu [463]

Answer:

<u>⅓</u>

<h2>Step-by-step explanation:</h2>

$\frac{5}{9} \times \frac{3}{5}$

$= \frac{1}{3} \times \frac{1}{1}$

$= \frac{1}{3}$

<h2>Checking:</h2>

$\frac{1}{3} \div \frac{3}{5}$

$= \frac{1}{3} \times \frac{5}{3}$

$= \frac{5}{9}$

#CarryOnLearning

8 0

3 years ago

Read 2 more answers

You have a coupon for 10% off a lamp that cost $60 what is the discount price of the lamp?

Lina20 [59]

Answer:

$50

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers