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vredina [299]
3 years ago
14

11. factor the expression. k2 – 16h2 (k 4h)(k – 4h) (k – 4h2)(k 4) h2(k 4)(k – 4) (k 4h)(k 4h)

Mathematics
2 answers:
ANEK [815]3 years ago
7 0
Use\ a^2-b^2=(a-b)(a+b)\\\\k^2-16h^2=k^2-4^2h^2=k^2-(4h)^2=(k-4h)(k+4h)
RoseWind [281]3 years ago
7 0

Answer:

The correct option is 1.

Step-by-step explanation:

The given expression is

k^2-16h^2

It can be rewritten as

k^2-(4h)^2               .... (1)

The formula for difference of squares:

a^2-b^2=(a-b)(a+b)

In equation (1), a=h and b=4h. Using the above formula we get

k^2-(4h)^2=(k-4h)(k+4h)

The factor form of given expression is (k-4h)(k+4h). Therefore the correct option is 1.

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What is radians converted to degrees? If necessary, round your answer to the nearest degree.
Tomtit [17]

To convert radians to degrees, make use of the fact that pi<span> radians equals one half circle, or 180º.</span>

<span>This means that if you divide radians by </span>pi, the answer is the number of half circles. Multiplying this by 180º will tell you the answer in degrees.

<span>So, to convert radians to degrees, multiply by <span>180/</span></span>pi, like this:

Degrees= radians X 180/pi

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3 0
3 years ago
A train picked up 20 people at station A. At station B 15 people got off and 3 people got on. How many people are on the train n
Step2247 [10]

Answer:

There are 8 people on the train.

Step-by-step explanation:

20 - 15 = 5

5 + 3 = 8

7 0
3 years ago
An automobile manufacturer has given its van a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contracted t
Fynjy0 [20]

Answer:

z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82  

The p value for this case would be given by:

p_v =2*P(z  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

Step-by-step explanation:

Information given

\bar X=31.1 represent the sample mean  

\sigma=1.3 represent the population standard deviation

n=140 sample size  

\mu_o =31.3 represent the value that we want to test  

\alpha=0.02 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:  

Null hypothesis:\mu =31.3  

Alternative hypothesis:\mu \neq 31.3  

Since we know the population deviation, the statistic is given by

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

Replacing we got:

z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82  

The p value for this case would be given by:

p_v =2*P(z  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

4 0
3 years ago
State the domain and range for the association:
Lisa [10]

Answer:

D: (-6,4), R:(1,6)

Step-by-step explanation:

The domain is asking for how far the line goes across the x-axis.

The range is asking for how far the line goes across the y-axis.

Hope this helped

5 0
3 years ago
What is 7*3+4-5, please help
stira [4]

Answer:

20

Step-by-step explanation:

you first multiply 7 and three

then add that to four

then subtract 5

8 0
3 years ago
Read 2 more answers
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