Find the degree of the monomial.<br> 8b^7c^2<br> The degree of the monomial is?

Which of the following is best described as a three-dimensional solid consisting of a base that can be any polygon a point not i

Harman [31]

Answer:

Option D

Pyramid

Step-by-step explanation:

The clause that gave away the answer is "<em>three-dimensional solid consisting of a base that can be any polygon"</em>

Scanning through the options, we can see that the only option that fits the description is the pyramid.

The pyramid is the only three-dimensional shape amongst the options that can take any polygon as a base.

<em>The other options get screened out here.</em>

A cube must have a square base.

A triangular prism must have a triangular base

A rectangular prism must have a rectangular base

Thus, option D: The Pyramid is the correct answer.

3 0

3 years ago

You are asked to write exponential equations from word problems. Match each term from a word problem with the rate that you woul

Dima020 [189]

The matching is given below.

Doubling ⇒ 2
Quadrupling ⇒ 4
Tripling ⇒ 3
Halving ⇒ 1/2

<h3>What is an exponent?</h3>

Let a be the initial value and x be the power of the exponent function and b be the increasing factor. The exponent is given as

y = a(b)ˣ

You are asked to write exponential equations from word problems.

We know that factor 2 represents doubling, factor 4 represents quadrupling, factor 3 represents tripling, and factor 1/2 represents halving.

Then the matching is given below.

Doubling ⇒ 2
Quadrupling ⇒ 4
Tripling ⇒ 3
Halving ⇒ 1/2

More about the exponent link is given below.

brainly.com/question/5497425

#SPJ1

5 0

1 year ago

Ayuda necesito resolver este problema con procedimiento ;)

Paraphin [41]

$x^3-2x^2+x-1$ is one of the prime factors of the polynomial

<h3>How to factor the expression?</h3>

The question implies that we determine one of the prime factors of the polynomial.

The polynomial is given as:

$x^8 - 3x^6 + x^4 - 2x^3 - 1$

Expand the polynomial by adding 0's in the form of +a - a

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = x^8 -2x^7 + 2x^7 - 4x^6 +x^6 + 2x^5 -2x^5- 3x^4 + 4x^4 + 2x^3 -6x^3+2x^3- x^2 -3x^2 +4x^2-2x+2x-1$

Rearrange the terms

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = x^8 -2x^7 + 2x^5 - 3x^4 + 2x^3 - x^2 + 2x^7 - 4x^6 + 4x^4 -6x^3+4x^2-2x+x^6-2x^5+2x^3-3x^2+2x-1$

Factorize the expression

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = x^2(x^6-2x^5+2x^3-3x^2+2x-1) + 2x(x^6-2x^5+2x^3-3x^2+2x-1) + 1(x^6-2x^5+2x^3-3x^2+2x-1)$

Factor out x^6-2x^5+2x^3-3x^2+2x-1

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x^2+2x + 1)(x^6-2x^5+2x^3-3x^2+2x-1)$

Express x^2 + 2x + 1 as a perfect square

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x+1)^2(x^6-2x^5+2x^3-3x^2+2x-1)$

Expand the polynomial by adding 0's in the form of +a - a

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x+1)^2(x^6- 2x^5+x^4-x^4-x^3 +x^3-2x^3-x^2 -2x^2 +x+x - 1)$

Rearrange the terms

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x+1)^2(x^6- 2x^5+x^4-x^3-x^4-2x^3-x^2+x+x^3-2x^2 +x - 1)$

Factorize the expression

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x+1)^2(x^3(x^3-2x^2+x-1) -x(x^3-2x^2+x-1)+1(x^3-2x^2+x-1))$

Factor out x^3-2x^2+x-1

$x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x+1)^2(x^3 -x+1)(x^3-2x^2+x-1)$

One of the factors of the above polynomial is $x^3-2x^2+x-1$ .

This is the same as the option (c)

Hence, $x^3-2x^2+x-1$ is one of the prime factors of the polynomial

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

4 0

1 year ago

Sandra calculated the height of a cylinder that has a volume of 576 pi cubic centimeters and a radius of 8 centimeters. Her work

Jobisdone [24]

Answer:

C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.

Step-by-step explanation:

Volume=576π cubic centimeters

Radius=8 cm

h=?

Her work:

Volume of a cyclinder=πr^2h

Step 1:

576π= π8^2h

Step 2:

576π = 64πh

Step 3:

576π / 64π = 64πh / 64π

Step 4:

h=9π cm

Correct workings:

Step 1:

576π= π8^2h

Step 2:

576π = 64πh

Step 3:

576π / 64π = 64πh / 64π

Step 4:

h= 9 centimeters

Her error is in step 4

C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.

3 0

2 years ago

Which associations best describe the scatter plot?

frez [133]

Negative association i think is the correct answer

6 0

2 years ago

Find the degree of the monomial. 8b^7c^2 The degree of the monomial is?