A cube has a side length of 4 inches. What is the surface area of the cube? a.16 in. b.64 in. c. 96 in. d.164 in.

Answers

Answer 1

Answer:

Answer: C

Step-by-step explanation: The surface area of a cube is calculated by $6x^(2)$ , where x is the side length of the cube. So, 6 * (4)^2 = 96 inches squared, or C

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A company has two electric motors that consume varying amounts of power. The power consumed by each motor is a function of the time (t in minutes) for which it runs. The cost of power (in $) to run one motor is given by the function `C_a(t) = t^2 - 2t + 5`. The cost of running the second motor is given by `C_b(t) = 3t + 2`. Which function gives the total cost of running both motors?

Answers

try to do it as a simple multiplication problem

Find the 4th term in the binomial expansion(2x+3y)^6

2916xy^5

4320x^3y^3

4860x^2y^4

2160x^4y^2

Answers

if u do the math u woud get something like this:

...x^6 + ...x^5y + ...x^4y^2 + ... x^3 y^3 +... x^2 y ^4 + ... x y^5 + ... y^6

so 4th term need to have x^3 y^3
then its 4320x^3y^3

Writ an equation of a parabola that has a vertex (1,3) and passes through the point (2,5)

Answers

Answer:

y=2x+1

Step-by-step explanation:

This is what I got hope it helps

The Phillips family and the Peterson family each used their sprinklers last summer.The water output rate for the Phillips family's sprinkler was 35 L per hour.The water output rate for the Peterson family's sprinkler was 15 L per hour.The families used their sprinklers for a combined total of 35 hours, resulting in a total water output of 925 L.How long was each sprinkler used?

Answers

Answer:The Phillips family used their sprinklers for 20 hours while The Petersons family used their sprinklers for 15 hours.

Step-by-step explanation:

Let x = the number of times that the Phillips family used their sprinkler last summer.

Let y = the number of times that the Petersons family used their sprinkler last summer.

The water output rate for the Phillips family sprinkler was 35 L per hour.

This means that the total volume of water from their sprinkler is 35xL

The water output rate for the Petersons family sprinkler was 15 L per hour.

This means that the total volume of water from their sprinkler is 15yL

The families used their sprinklers for a combined total of 35 hours, resulting in a total water output of 925 L. This means

x + y = 35

35x + 15y = 925 - - - - - - - - 2

Substituting x = 35 - y into equation 2

35(35-y) + 15y = 925

1225 - 35y + 15y = 925

- 20y = 925 - 1225 =- 300

y = - 300 / -20 = 15

x = 35 - y = 35 - 15 = 20

The Phillips family used their sprinklers for 20 hours while The Petersons family used their sprinklers for 15 hours.

A baker uses a coffee mug with a diameter of 8\text{ cm}8 cm8, start text, space, c, m, end text to cut out circular cookies from a big sheet of cookie dough.What is the area AAA of each cookie?

Give your answer in terms of pi.

A=A=A, equals

\text{cm}^2cm

2

start text, c, m, end text, squared

Answers

Answer:

Step-by-step explanation:

Since the cookies is circular in nature, we will use the formula for calculating the area of circle to calculate the area if each cookies.

Area of each cookies = πd²/4

Given diameter d = 8cm

Area of the cookies = π(8)²/4

Area of the cookies = 64π/4

Area of the cookies = 16π cm²

Answer:

16 pi ^2

Step-by-step explanation:

um yes

How to solve this system of equation 3x + y= 17 and 4x + 2 y = 20

Answers

3x + y= 17 (a)
4x + 2 y = 20 (b)

Multiply (a) by 2:

6x + 2y = 34 (a)
4x + 2y = 20 (b)

make: (a) - (b)

2x = 14 -----> x =7

-------------------------------

Replace the value of x = 7 in one of anterior equation:

3x + y= 17
3 x 7 + y = 17
21 + y = 17
y = 17 - 21
y = -4

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