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mina [271]
3 years ago
6

Simplify: 3m/m-6*5m^3-30m^2/5m^2A.7B.m+7C.m+8D.3m

Mathematics
2 answers:
VLD [36.1K]3 years ago
8 0
<span>I think you meant this: (3m/m-6)*(5m^3-30m^2/5m^2)
If that's the case, the simplified form:
=3m</span>
Scilla [17]3 years ago
5 0

Answer:

D. 3m

Step-by-step explanation:

We have been given an expression \frac{3m}{m-6}\times \frac{5m^3-30m^2}{5m^2}. We are asked to simplify our given expression.

First of all, we will factor our expression as:

\frac{3m}{m-6}\times \frac{5m^2(m-6)}{5m^2}

To simplify our given expression, we need to cancel out common factors as shown below:

\frac{3m}{1}\times \frac{5m^2}{5m^2}

\frac{3m}{1}\times 1

3m

Therefore, the simplified form of our given expression would be 3m and option D is the correct choice.

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Mrs. Logan's class is hiking. They increase their elevation by 100 ft every 2 min. What is the rate of their climbing?
Ainat [17]

Answer: B

Step-by-step explanation:

100 feet every 2 minutes

100 divided by 2 is 50

50 ft per minute

B is the answer

8 0
3 years ago
A fast food restaurant executive wishes to know how many fast food meals teenagers eat each week. They want to construct a 99% c
Lana71 [14]

Answer:

The minimum sample size required to create the specified confidence interval is 2229.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What is the minimum sample size required to create the specified confidence interval

This is n when M = 0.06, \sigma = 1.1

0.06 = 2.575*\frac{1.1}{\sqrt{n}}

0.06\sqrt{n} = 2.575*1.1

\sqrt{n} = \frac{2.575*1.1}{0.06}

(\sqrt{n})^{2} = (\frac{2.575*1.1}{0.06})^{2}

n = 2228.6

Rounding up

The minimum sample size required to create the specified confidence interval is 2229.

7 0
3 years ago
F(x) = -2x² – 3 and
Anarel [89]

Answer

f(-4) = 125, g(6) = -13

Step-by-step explanation:

all of those symbols might look really scary, but really all the problem is asking you to do is substitute -4 into the x in f(x) and 6 into the x in g(x) -- basically, f(-4) = -2((-4)^{3}) - 3 = 125, and g(6) = -2(6) - 1 = -13. there are your answers!

4 0
3 years ago
If Carbon 12 is named 12 because it has 6 protons
tester [92]

Answer:

6

Step-by-step explanation:

8 0
3 years ago
Construct two line segments with the lengths ratio 3:5.
belka [17]

Answer:

one segment could have a length of 15

second segment could have length of 25

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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