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olga nikolaevna [1]
3 years ago
10

If f(x) = x2 and g(x) = x - 3, then f(g(x)) = ?

Mathematics
1 answer:
attashe74 [19]3 years ago
8 0

Answer:

the answer is E

Step-by-step explanation:

hope this helps!

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The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?
grigory [225]

Answer:

\frac{4}{3} \pi r^3.

Step-by-step explanation:

Let's say that the radius is r. The base diameter is two times the radius, or 2r.

Since the height is two times the diameter, the height is 2 * 2r = 4r.

The volume of a cone is 1/3 * h * pi * r^2. So, the volume of the cone is 1/3 * 4r * pi * r^2 = 1/3 * pi * 4r^3 = 4/3 * pi * r^3.

So, the volume of the cone is \frac{4}{3} \pi r^3.

Hope this helps!

8 0
3 years ago
Use the formula for nCr to evaluate the given expression.
LenaWriter [7]

Answer:

351

Step-by-step explanation:

27C2 = 27! / 2! × (27-2)!

= 27×26×25! / 2×1 × 25!

= 27×26 /2

= 27×13

= 351

3 0
3 years ago
One cylinder has a volume that is 8 Centimeters cubed less than StartFraction 7 over 8 EndFraction of the volume of a second cyl
mojhsa [17]

The correct equation is:

216 = \frac{7}{8} \times x - 8

The volume of second cylinder is 256 centimeter cubed

<em><u>Solution:</u></em>

Given that,

One cylinder has a volume that is 8cm less than 7/8 of the volume of a second cylinder

The first cylinder’s volume is 216 centimeter cubed

From given,

Let "x" be the volume of second cylinder

Therefore,

Volume of first cylinder = 7/8 of the volume of a second cylinder - 8

216 = \frac{7}{8} \times x - 8

216 = \frac{7x}{8}-8\\\\216 = \frac{7x-64}{8}\\\\7x - 64 = 8 \times 216\\\\7x - 64 = 1728\\\\7x = 1728 + 64\\\\7x = 1792\\\\Divide\ both\ sides\ by\ 7\\\\x = 256

Thus the volume of second cylinder is 256 centimeter cubed

6 0
3 years ago
Read 2 more answers
Where is the orthocenter of a triangle with vertices at (-4,8) (-1,5) and (5,5)?
Mariulka [41]
(-4,-4)  Answer)   triangle vertex coordinates -4,8 | -1,5 | 5,5 orthocenter
5 0
3 years ago
17 friends to 19 friends<br><br> The percent increase is
kvv77 [185]

Answer:

the increase is by 2

Step-by-step explanation:

You can add 17 plus 2 or subtract 17 from 19.

3 0
3 years ago
Read 2 more answers
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