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Ivanshal [37]
3 years ago
10

The curve through the ordered pairs (0, 10), (1,5), and (2,2.5) can be represented by the function f(x) = 10(0.5). What is

Mathematics
1 answer:
Leto [7]3 years ago
8 0

Answer:

5

Step-by-step explanation:

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Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol
Zigmanuir [339]

Answer:

672\pi \text{ cm}^3.

Step-by-step explanation:

We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.      

We will use volume formula of sphere to solve our given problem.

\text{Volume of sphere}=\frac{4}{3}\pi r^3, where r is radius of sphere.

The difference of volumes would be volume of larger sphere minus volume of smaller sphere.

\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3

\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3

\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3

\text{Difference of volumes}=4\pi(168)\text{ cm}^3

\text{Difference of volumes}=672\pi\text{ cm}^3

Therefore, the difference between volumes of the spheres is 672\pi \text{ cm}^3.

3 0
3 years ago
Felicia paid $125 to join a tennis club. She pays ana additional $5 every time she uses
nydimaria [60]
C=5n+125
Domain :n=0,1,2,3...
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5 0
3 years ago
Use substitution to determine the solution of the system of equations. Write the solution as an ordered pair.
zubka84 [21]
The answer is (6,4) x=6 y=4
5 0
2 years ago
What is the answer to negative 1/4-16 1/5 divided by 6???
Luba_88 [7]

For that last part you can leave your answer as a fraction of -59/20 or you can divide 29 by -59 and you’ll get -2.95.

4 0
3 years ago
Find the distance between the points:
lesantik [10]
To calculate distance between two points we use the distance formula sqrt((x2−x1)^2+(y2−y1)^2).  

To start, we find the square of the distance between x1 and x2 and y1 and y2.  The distance between x1 and x2, or 1 and 3, is 2. The distance between y1 and y2, or 3 and -4, is 7.

Now we square 2 and 7 and add them together to get 4 + 49 = 53.

The last thing we do to find the distance is take the square root of 53. 53 is not a perfect square and is also a prime number so our answer in simplest form is still sqrt53.<span />
6 0
3 years ago
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