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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.
Mathematics
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
PLEASE HELP
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
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