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3 years ago

Find the solution(s) of the following equation.

Mathematics

1 answer:

kobusy [5.1K]3 years ago

7 0

Answer:

The answer is A: y=7

Step-by-step explanation:

If you multiply 7 x 7 x 7 the answer would be 343.

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Will mark bianleast

Sauron [17]

Answer:

The mean is 7.975.

Step-by-step explanation:

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3 years ago

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Water is being poured into a container in the shape of a right circular cone with a radius of 4 ft and height of 16 ft. Find a f

zmey [24]

Answer:

$V=pi*\frac{16 h}{3}$

Step-by-step explanation:

Volume of a right circular cone can be found using the equation

$V=pi*\frac{r^{2} h}{3}$ where

r is the radius of the cone

h is the height of the cone
pi is the π constant

Since r=4ft, we can model the volume of the water in the cone in terms of the height as

$V=pi*\frac{4^{2} h}{3}$ = $pi*\frac{16 h}{3}$

8 0

3 years ago

A satellite can move at 17,000 miles per hour. how many hours will it take to reach a star that is three light years away? recal

Feliz [49]

Distance to the star in light years = 3 * 0.62 * 9.5 * 10^12 = 1.767 * 10^13 miles

dividng this by 17,000 gives 1.039411765 * 10^9 hours

7 0

3 years ago

The information given represents lengths of sides of a right triangle with c the hypotenuse. Find the correct missing length to

Rus_ich [418]

$rule = {a}^{2} + {b}^{2} = {c}^{2}$

${18}^{2} + {26}^{2} = {c}^{2}$

$324 + 676 = 1000$

$\sqrt{1000} = 31.62$

Answer = A) 31.62

3 0

3 years ago

What is the polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 + i? f(x) = x2 – 2x + 2 f(x) = x3 – x

konstantin123 [22]

Answer:

$f(x)=x^{3}-3x^{2} +4x-2$

Step-by-step explanation:

we know that

The <u><em>conjugate root theorem</em></u> states that if the complex number a + bi is a root of a polynomial P(x) in one variable with real coefficients, then the complex conjugate a - bi is also a root of that polynomial

In this problem we have that

The polynomial has roots 1 and (1+i)

by the conjugate root theorem

(1-i) is also a root of the polynomial

therefore

The lowest degree of the polynomial is 3

$f(x)=a(x-1)(x-(1+i))(x-(1-i))$

Remember that

The leading coefficient is 1

a=1

$f(x)=(x-1)(x-(1+i))(x-(1-i))\\\\f(x)=(x-1)[x^{2} -(1-i)x-(1+i)x+(1-i^2)]\\\\f(x)=(x-1)[x^{2} -x+xi-x-xi+2]\\\\f(x)=(x-1)[x^{2} -2x+2]\\\\f(x)=x^{3}-2x^{2} +2x-x^{2} +2x-2\\\\f(x)=x^{3}-3x^{2} +4x-2$

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3 years ago

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