(50 POINTS) Composite Functions MATH please help
(50 POINTS) Composite Functions MATH please help - 1

Answers

Answer 1
Answer:

Answer:

a. C(x(h)) = 600h + 500

b. C(8) = 5,300

c. See below.

Step-by-step explanation:

a. C(x(h)) = C(30h) = 20(30h) + 500 = 600h + 500

b. C(8) = 600(8) + 500 = 5,300

c. 5,300 is the cost of making the number of shovels that can be made in 8 hours.


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Answers

Answer:

dis is easy c :D

Step-by-step explanation:

The length of a rectangle is 3 inches greater than the width. A. Write a polynomial that represents the area of the rectangle.
B. Find the area of the rectangle when the width is 4 inches.

Answers

Answer:

A - x (x+3) = Area of the rectangle

B- 28 inches squared

Step-by-step explanation:

B- using the formula from A

x = 4

x + 3 = 4 +3 = 7

4 times 7 is 28

Answer: 28ins²

Step-by-step explanation:

From the question, let the width of the rectangle = xins.

Therefore, the breadth                                            = ( x + 3 )ins.

(A) The area of the rectangle which is L x B          = x( x+ 3 )

                                                                              = (x² + 3x)ins² . In polynomial.

(B) The area of the rectangle if the width is 4ins, that is if x = 4ins.To find the area, we substitute for x in the area above

                                                                             = 4² + 3 x 4

                                                                             = 16 + 12

                                                                             = 28ins²

                           

Write the ratio in lowest terms.  20:14a. (7/10)
b. (20/14)
c. (14/20)
d. (10/7)

Answers


when putting ratios, fractions, expressions, etc into lowest terms you take out the gcf.

in this case the gcf of both 20 and 14 is 2.

20/2:14/2 = 10:7

the answer is d

to get a ratio in lowest terms, you have to divide both sides by the same number.  what number fits into both?  2 does.  so 20/2=10, and 14/2=7.  this means that (d) is correct.
does that help?

A merchant bought 30 dozen pairs of gloves. How many individual gloves did the merchant buy? A-720 B-420 C-300

Answers

The merchant product bought a total of 360 individual gloves is C-300.

To find the total number of individual gloves the merchant bought, we need to calculate the product of the number of dozen pairs and the number of gloves in each pair.

30 dozen pairs of gloves mean 30 x 12 pairs of gloves since there are 12 pairs in a dozen.

Now, to find the total number of individual gloves, we multiply the number of dozen pairs by the number of gloves in each pair:

30 dozen pairs x 12 gloves per dozen pair = 360 gloves

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A-720

30x12x2

There are 30 dozen, a dozen means twelve. 30 times 12 is 360. There are 360 pairs of gloves. A pair means 2. 360 pairs times 2 gloves in a pair equals 720.

IAcellus
Find the volume of the cone.
5
Diameter: 14 m, Slant Height: 25 m
Help Resources
Round to the nearest whole number.
Volume
[?] m3

Answers

The volume of the cone to the nearest whole number is 1283 m³

How to determine the volume

Formula for volume of a cone = \pi r^2(h)/(3)

Slant height = 25m

If diameter = 14m , radius = 14/2 = 7m

Pie = 22/7

Substitute values into formula

We have,

Volume = 3. 142 * 7 * 7 * (25)/(3)

Volume = 1,282. 98

Volume = 1283 m^3 in the nearest whole number

Thus, the volume of the cone to the nearest whole number is 1283 m³

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Final answer:

The volume of a cone with a diameter of 14 m and slant height of 25 m is 1232 m³, when rounded to the nearest whole number.

Explanation:

To find the volume of the cone, one can use the formula, which is V = 1/3πr²h, where V is the volume, r is the radius, and h is the height. But in the provided case, we have the cone's diameter and slant height instead of the radius and height. Given that the diameter is 14m, the radius would be half of the diameter, so r = 14/2 = 7m. Also, considering the cone as a right-angled triangle, we can use the Pythagorean theorem to find the height. So, h = sqrt((Slant height)² - r²) = sqrt((25)² - (7)²) = 24m. Now, we substitute the values of r and h into the formula for volume of a cone.

V = 1/3 * π * (7)² * 24 = 1232 m³

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if the recycling club collected 48 aluminum cans 3/4 of the cans was from 6th grade was 1/6 was from 7 grade and the rest was from 8th grade how many cans were collected by 8th grade

Answers

Answer: 4 cans

Step-by-step explanation:

If you evaluate all the amounts of cans collected from each grade you get 44 so the remainder is 4 so the number of cans that came from eighth grade is 4