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3 years ago

Perform the indicated operation and simplify the result.

Mathematics

1 answer:

Finger [1]3 years ago

3 0

Answer:

7/ (3a-1)

Step-by-step explanation:

3a^2 -13a +4 28+7a

------------------ * --------------------

9a^2 -6a+1 a^2 -16

Factor

(3a-1)(a-4) 7(4+a)

------------------ * --------------------

(3a-1) (3a-1) (a-4)(a+4)

Cancel like terms

1 7

------------------ * --------------------

(3a-1) 1

Leaving

7/ (3a-1)

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The volume of a spherical tank is 790.272 pie cubic feet what is the diameter of the container

pochemuha

Answer:

The diameter is 13.88 feet.

Step-by-step explanation:

1. The formula for calculate the volume of a sphere is:

$V=\frac{3}{4}(r^{3}\pi)$

Where $r$ is the radius.

2. The diameter is:

$D=2r$

3. So, you must solve for the radius in the first equation:

$r=\sqrt[3]{\frac{4V}{3\pi}}$

$r=\sqrt[3]{\frac{4(790.272ft^{3} )}{3\pi}}\\r=6.94ft$

4. Then, the diameter is:

$D=2(6.94ft)\\D=13.88ft$

8 0

3 years ago

The sum of 5 consecutive integers is 265. What is the fifth number in this sequence?

son4ous [18]

Five consecutive integers are:

n, n+1, n+2, n+3, n+4 the sum of which is:

5n+10=265 subtract 10 from both sides

5n=255, divide both sides by 5

n=51

Our fifth number was n+4 so the fifth number is 55

3 0

3 years ago

Read 2 more answers

find the slope/ rate of change of the two points. Identify whether it is positive, negative, undefined or zero. (0,15) and (16,-

weqwewe [10]

Answer:1.7 its positive

Step-by-step explanation: 0,15 . 16,-12

y1-y2/x1-x2

15-(-12)= 27

0-16= 16

27/16 = 1.7

4 0

3 years ago

What should you do to find the meaning of a term

Veronika [31]

hi you could use Google Translate or even a dictionary when you see the diagram of a speaker pls mark braiest and follow me

3 0

3 years ago

The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds

belka [17]

Answer:

$P(170$

And we can find this probability with this difference:

$P(-0.6$

Step-by-step explanation:

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(200,50)$

Where $\mu=200$ and $\sigma=50$

We want to find the following probability:

$P(170$

And we can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

And using this formula we got:

$P(170$

And we can find this probability with this difference:

$P(-0.6$

8 0

3 years ago