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4 years ago

A sphere has a radius of 7.5 centimeters. To the nearest ccentimeter, what is the volume of the sphere( please explain answer!)

Mathematics

1 answer:

pashok25 [27]4 years ago

3 0

Answer:

1767 cm³

Step-by-step explanation:

volume of sphere = $\frac{4}{3}$ * π * r³

r is the radius

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Type the correct answer in each box. Use numerals instead of words. Function f is given by the table of values shown. x 0 1 2 3

nirvana33 [79]

Using translation concepts, it is found that the table of values for function g(x) is given as follows:

x 0 1 2 3

g(x) -7 0 5 8

<h3>What happens when a function is reflected across the x-axis?</h3>

When a function is reflected across the x-axis, all it's values are multiplied by -1.

Hence, considering the values of f(x) given in the problem, the table of values for function g(x) is given as follows:

x 0 1 2 3

g(x) -7 0 5 8

More can be learned about translation concepts at brainly.com/question/4521517

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5 0

2 years ago

What is the explicit formula for the arithmetic sequence -100,-70,-40,-10

kherson [118]

The explicit formula of an arithmetic sequence:

$a_n=a_1+(n-1)d$

We have:

$a_1=-100,\ a_2=-70,\ a_3=-40;\ a_4=-10,\ ...\\\\d=a_{n+1}-a_n\to d=-70-(-100)=-70+100=30$

Substitute:

$a_n=-100+(n-1)(30)=-100+30n-30=30n-130$

Answer: an = 30n - 130

7 0

3 years ago

Line v passes through point [6.6] and is perpendicular to the graph of y= 3/4x - 11 line w is parallel to line v and passes thro

lbvjy [14]

Given:

The equation of a line is

$y=\dfrac{3}{4}x-11$

Line v passes through point (6,6) and it is perpendicular to the given line.

Line w passes through point (-6,10) and it is parallel to the line v.

To find:

The equation in slope intercept form of line w.

Solution:

Slope intercept form of a line is

$y=mx+b$ ...(i)

where, m is slope and b is y-intercept.

We have,

$y=\dfrac{3}{4}x-11$ ...(ii)

On comparing (i) and (ii), we get

$m=\dfrac{3}{4}$

So, slope of given line is $\dfrac{3}{4}$ .

Product of slopes of two perpendicular lines is -1.

$m_1\times m_2=-1$

$\dfrac{3}{4}\times m_2=-1$

$m_2=-\dfrac{4}{3}$

Line w is perpendicular to the given line. So, the slope of line w is $-\dfrac{4}{3}$ .

Slopes of parallel line are equal.

Line v is parallel to line w. So, slope of line v is also $-\dfrac{4}{3}$ .

Slope of line v is $-\dfrac{4}{3}$ and it passes thorugh (-6,10). So, the equation of line v is

$y-y_1=m(x-x_1)$

where, m is slope.

$y-10=-\dfrac{4}{3}(x-(-6))$

$y-10=-\dfrac{4}{3}(x+6)$

$y-10=-\dfrac{4}{3}x-\dfrac{4}{3}(6)$

$y-10=-\dfrac{4}{3}x-8$

Adding 10 on both sides, we get

$y=-\dfrac{4}{3}x-8+10$

$y=-\dfrac{4}{3}x+2$

Therefore the equation of line v is $y=-\dfrac{4}{3}x+2$ .

3 0

3 years ago

Sarah lost 12 pounds over the summer by jogging each week. By winter time, she had gained 4 3/8 pounds. Represent this situation

ANTONII [103]

Assume sarah's weight is m.
first, she lost 12 pounds,
this means that her weight became: m - 12 pounds
then, she gained 4 3/8 pounds, therefore, her current weight is: m-12+4 3/8 pounds
the total change in her weight is:
-12+4 3/8 = -7.625 pounds
the negative sign refers to the loss.
this means that the overall change is losing 7.625 pounds

7 0

4 years ago

Point E is drawn on the graph so that the line EF is parallel to line CD

hoa [83]

What is the question though?? and what are the answer choices??

3 0

4 years ago