If f(x) = 2x^2 - 10, find f(5).

Answers

Answer 1

Answer: sub 5 for every x
f(5)=2(5)^2-10
f(5)=2(25)-10
f(5)=50-10
f(5)=40

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PLEASE URGENT HELP!!!!!!!Gerald assembled a wooden gate, as shown below, where each of the six boards that make up the lower part of the gate are the same size and the top piece is a semi-circle shaped piece of wood.
If x = 6 inches, y = 2 inches, and z = 3 feet, what is the volume of wood used to make the gate, to the nearest cubic inch?

A. 2,746 in3

B. 1,234 in3

C. 4,628 in3

D. 3,610 in3

Answers

The volume of wood used for a wooden gate is 1234 in³

B. 1234 in³

How to find the volume of wood

The volume of wood is solved by the formula

surface area * thickness

The surface is of two shapes:

Semi circle

Rectangle

The length of the rectangle is the diameter of the circle and the length is

= 6 * x = 6 * 6 = 36 inches

Area of semi circle

= 0.5 * π * D² / 4

= 0.5 * π * 36² / 4

= 508.94 square inch

Area of rectangle

= 36 * 3

= 108 square inch

Total surface area = 508.94 square inch + 108 square inch

Total surface area = 616.94 square inch

Volume of wood = Total surface area * y

Volume of wood = 616.94 * 2

Volume of wood = 1233.88

Volume of wood = 1234 in³

Learn more about volume of wood

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Express the ratio 20:35 in simplest form.

Answers

Answer:4:7

Step-by-step explanation:

20:35

/5 on both sides.

4:7

Find the -intercept and -intercept of the line.3x-7y=-21

x-intercept
y-intercept

Answers

x intercept (- 7,0)

y intercept (0,3)

Simplify the expression. 12^–3 • 12^10 • 12^0A. 1

B. 1728^7

C. 12^7

D. 36^7

Answers

since they have the same base we can just add all the exponents

-3+ 10= 7

keep the base so the answer is
12^7

Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. and traveled at an average rate of 496 mph. The second airplane left at 8:30 a.m. and traveled at an average rate of 558 mph. How many hours did it take the first plane to travel to the destination?Let x represent the number of hours that the first plane traveled.
Enter an equation that can be used to solve this problem in the first box.
Solve for x and enter the number of hours in the second box.

Answers

First plane: 496x
Second plane: 558( x - 1/2)

Equation: 496x = 558( x - 1/2)

Solving x = 9/2 , or x = 4.5 hours.

Hope this helps.

15 points and BRAINLIEST A town determined that the function f(x) =820(0.97)X models the number of speeding tickets issued in the town x years after 2000. Which statement is true about the

number of speeding tickets issued each year?

A)

The number of tickets is decreasing by 3% each year.

B)

The number of tickets is decreasing by 97% each year.

The number of tickets is increasing by 3% each year.

D

The number of tickets is increasing by 979% each year.

Answers

Answer:

The number of tickets is increasing by 97% each year

Step-by-step explanation:

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Write the expression in radical form. (x + 1) 2/3

Emma has a white and red cube. The surfaces of each cube are numbered with a unique number from 1-6. If Emma tosses the cubes, what is the probability she will get a 4 on the White cube and an odd number of the red cube?

PLEASE HELP ASAP DUE SOON