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3 years ago

What is the exact volume of the cone? H = 6 cm R = 9 cm

Mathematics

1 answer:

faltersainse [42]3 years ago

6 0

Answer:

508.68 or 508.7

Step-by-step explanation:

V=1/3(3.14)(9)^2(6)

(3.14)(81) x 6

(3.14)(486)

1/3(1526)

(divide by 3)= 508.68

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3 years ago

X+y=13 and 1/2x+y=10

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3 years ago

Write the general polynomial p(x) if its only zeros are 1 4 and -3 with multiplicites 3 2 and 1 respectively what is the degree

kompoz [17]

Answer:

The 6th degree polynomial is $p(x) = (x-1)^3(x-4)^2(x+3)$

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ such that it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.

Zero 1 with multiplicity 3.

$p(x) = (x-1)^3$

Zero 4 with multiplicity 2.

Considering also the zero 1 with multiplicity 3.

$p(x) = (x-1)^3(x-4)^2$

Zero -3 with multiplicity 1:

Considering the previous zeros:

$p(x) = (x-1)^3(x-4)^2(x-(-3)) = (x-1)^3(x-4)^2(x+3)$

Degree is the multiplication of the multiplicities of the zeros. So

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3 years ago

Evaluate each geometric series described<br> 1-4+16-64...., n=6

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Answer:

- 819

Step-by-step explanation:

The sum to n terms of a geometric series is

$S_{n}$ = $\frac{a(r^n-1)}{r-1}$

where a is the first term and r the common ratio

Here a = 1 and r = - 4 ÷ 1 = - 4, thus

$S_{6}$ = $\frac{1((-4)^6-1)}{-4-1}$ = $\frac{4096-1}{-5}$ = $\frac{4095}{-5}$ = - 819

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