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Paraphin [41]
3 years ago
5

Simplify the following expression.

Mathematics
1 answer:
expeople1 [14]3 years ago
3 0

Answer: 3x^{2}-24x


Step-by-step explanation:

 1. To simplify the expression given in the problem, you must apply a property of exponents called Quotient of powers, which states that when you divide two powers that have the same base, you must subtract the exponents.

2. Keeping this property on mind you have, you can rewrite the expression as following and simplify:

 \frac{-12x^{4}}{-4x}+\frac{96x^{2}}{-4x}=3x^{2}-24x



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Please help!!
Zolol [24]

Answer:

Exterior = 22.5 degrees

Interior = 157.5 degrees

Step-by-step explanation:

Exterior angles = 360/16 = 22.5

Interior Angles = 180 - 22.5 = 157.5

5 0
2 years ago
When Isaac commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 44 minutes and a s
mario62 [17]

Answer:

[34,54]

Step-by-step explanation:

-The empirical rule states that the 95% of the sampled observations will fall within two standard deviations of the mean for a normally distributed population.

Where:

  • 68% is the first standard deviation
  • 95% is the second standard deviation about the mean
  • 99.7% is the 3rd standard deviation about the mean.

-Therefore. the middle 95% interval is calculated as:

CI=\mu+2\sigma\\\\=44\pm 2(5)\\\\=44\pm 10\\\\=[34,54]

Hence, the interval is [34,54]

5 0
2 years ago
Micah places a mirror on the ground 24 feet from the base of a tree. He walks
irina [24]

The height of tree is 8 feet

<h3><u>Solution:</u></h3>

Given, Micah places a mirror on the ground 24 feet from the base of a tree

At that point, Micah's eyes are 6 feet above the ground  

And he is 9 feet from the image in the mirror.  

To find : height of tree = ?

Let "n" be the height of tree

From the question, we can see there is a directly proportional relationship between heights and distances.

Proportional relationships are relationships between two variables where their ratios are equivalent.

\frac{\text { height of micah eyes above ground }}{\text { distance of micah from mirror }}=\frac{\text { height of tree above the ground }}{\text { distance of tree from mirror }}

\begin{array}{l}{\frac{6 \text { feet }}{9 \text { feet }}=\frac{n \text { feet }}{24 \text { feet }}} \\\\ {\frac{6}{9}=\frac{n}{24}} \\\\ {\text { n }=\frac{1}{3} \times 24} \\\\ {\text { n }=8}\end{array}

Hence, the height of the tree is 8 feet

6 0
2 years ago
· Hollywood Studios in Disneyworld is building a 2nd parking garage for The Muppets. The
Margarita [4]

Answer:

1264 and 632

Step-by-step explanation:

x + 2x = 1896

3x=1896

x=632

5 0
2 years ago
The ratio in fraction of 2.5/8 to 8. 3/4 as a fraction in simplest form
labwork [276]
The answer to your question would be, 22 31/32 because you would multiply 2 5/8 and 8 3/4. To=mutiply. Hope I helped:-)
3 0
3 years ago
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