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2 years ago

6

A box of chocolates contains five milk chocolates, five dark chocolates, and five white chocolates. You randomly select and eat

three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate. Is it independent or dependen?

1 answer:

Marina CMI [18]2 years ago

6 0

Answer:

it the first choice you ate three chocolate independently

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a film canister in the shape of a cylinder has a height of 8 centimeters and a volume of the film canister. write an equation fo

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Answer:

Part a) The equation for the volume of the film canister is

$32\pi=\pi r^{2}(8)$

Part b) The radius of the film canister is $2\ cm$

Step-by-step explanation:

<u><em>The complete question is</em></u>

A film canister in the shape of a cylinder has a height of 8 centimeters and a volume of 32π cubic centimeters.

a. Write an equation for the volume of the film canister.

b. What is the radius of the film canister?

Part a) Write an equation for the volume of the film canister

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

where

r is the radius of the circular base

h is the height of the cylinder

we have

$V=32\pi\ cm^3$

$h=8\ cm$

substitute

$32\pi=\pi r^{2}(8)$ ----> equation for the volume of the film canister

Part b) What is the radius of the film canister?

we have

$32\pi=\pi r^{2}(8)$

$32\pi=8\pi r^{2}$

Simplify

Divide by 8π both sides

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square root both sides

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3 years ago

The radius of a circle is 18.1 cm. Find the circumference to the nearest tenth.

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3 years ago

What is the answer / product of 8x2

Mademuasel [1]

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

8*x^2-(8)=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

23x2 - 8 = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

8x2 - 8 = 8 • (x2 - 1)

Trying to factor as a Difference of Squares:

3.2 Factoring: x2 - 1

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check : x2 is the square of x1

Factorization is : (x + 1) • (x - 1)

Equation at the end of step

3

:

8 • (x + 1) • (x - 1) = 0

STEP

4

:

Theory - Roots of a product

4.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Equations which are never true:

4.2 Solve : 8 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.3 Solve : x+1 = 0

Subtract 1 from both sides of the equation :

x = -1

Solving a Single Variable Equation:

4.4 Solve : x-1 = 0

Add 1 to both sides of the equation :

x = 1

Two solutions were found :

x = 1

x = -1

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2 years ago