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3 years ago

What’s is the approximate volume of the cone? Use 22/7 for pie.

Mathematics

1 answer:

Mandarinka [93]3 years ago

6 0

butter by bts

the only explanation for this worId

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Write the function that describes a parabola that has a vertex at (3,-4) and goes through the point (5,-12).

Anna007 [38]

Answer: The answer is f(x) = - 2x²+12x-22.

Step-by-step explanation: We are given to write the function describing a parabola with vertex (3, -4) and passing through the point (5, -12).

We know that the standard form of a parabola with vertex (h, k) is given by

$f(x)-k=a(x-h)^2.$

Here (h, k) = (3, -4), so we have

$f(x)-(-4)=a(x-3)^2\\\\\Rightarrow f(x)+4=a(x-3)^2.~~~~~~~~~~~(I)$

Also, the parabola is passing through the point (5, -12), so

$-12+4=a(5-3)^2\\\\\Rightarrow -8=a\times 4\\\\\Rightarrow a=-2.$

Substituting the value of 'a' above in equation (I), we have

$f(x)+4=-2(x-3)^2\\\\\Rightarrow f(x)=-2(x^2-6x+9)-4\\\\\Rightarrow f(x)=-2x^2+12x-22.$

Thus, the answer is f(x) = - 2x²+12x-22..

3 0

3 years ago

Koalas sleep about 22 hours a day. pandas sleep about 10 hours a day. About how many more hours does a typical kola sleep in 1 y

12345 [234]

Koala -22×365(days in a year)=8,030 hours in a year

panda-10×365(days in a year)=3,650

8,030-3,650=4,380

koalas sleep 4380 hours more than a panda

there's your answer :)

5 0

4 years ago

Let f(x) = -4x + 7 and g(x) = 10x - 6 find f(g(x))

max2010maxim [7]

F(x) = -4x + 7
g(x) = 10x - 6

f(g(x)) = -4(10x - 6) + 7
f(g(x)) = -4(10x) + 4(6) + 7
f(g(x)) = -40x + 24 + 7
f(g(x)) = -40x + 31

7 0

3 years ago

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Can someone please explain this problem?

kolezko [41]

I have the same problem. I think it is 4.

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3 years ago

Simplify the expression (6+2)^2-4×3 using the order of operations((the 2 is an exponent))

jasenka [17]

The answer is -767/64

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3 years ago

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