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vladimir1956 [14]
3 years ago
15

Find g(4f(2)) where f(x)=1/2+x and g(x)=x(x+1)^3

Mathematics
1 answer:
Ne4ueva [31]3 years ago
6 0
4f(2)=4×5/2=10
g(10)=10×(10+1)²=1210
so the answer is d.

your description is different from the picture. what i answered was the question in the picture.
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A company will make a cereal box with whole number dimensions and a volume of 100 cubic centimeters. if carboard cost $0.05 per
Lelu [443]
Possible dimension of a box with a volume of 100 cubic cm
10 x 10 x 1 = 100
10 x 5 x 2 = 100
5 x 5 x 4 = 100

Surface area:
10 x 10 x 1 dimensions: 
10 x 10 = 100 x 2 = 200 sq.cm
10 x 1 = 10 x 4 = 40 sq. cm
240 sq. cm * $0.05 / 100 sq.cm = $0.12 per box
0.12 per box * 100 boxes = $12

10 x 5 x 2 dimension
10 x 5 = 50 x 2 = 100 sq. cm
10 x 2 = 20 x 2 = 40 sq. cm
5 x 2 = 10 x 2 = 20 sq. cm
160 sq. cm * $0.05/100 sq. cm = $0. 08 per box
0.08 per box * 100 boxes = $8

5 x 5 x 4 dimension
5 x 5 = 25 x 2 = 50 sq. cm
5 x 4 = 20 x 4 = 80 sq. cm
130 sq. cm * $0.05/100 sq. cm = $0.065 per box
0.065 per box * 100 boxes = $6.50

The best dimension to use to have the least cost to make 100 boxes is 5 x 5 x 4. It only costs $6.50 to make 100 boxes.
8 0
3 years ago
What is the area of the sector with a central angle of 97 degrees and a diameter of 10cm
vampirchik [111]

Answer:

21. 162 (rounded to nearest thousandth)

Step-by-step explanation:

Area of a sector: (degree/360) (pi*radius^2)

degree given= 97

radius= diameter/2 = 5

(97/360) (pi*5^2)

(97/360) (pi*25) = 21.16211718

4 0
3 years ago
For a craft , each student will need 5 rubber bands . There are 8 students . Rubber bands comes in bags of 9 . How many bags wil
bixtya [17]
You would need 5 bags
8 0
3 years ago
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Solve the following equation using the quadratic formula.
konstantin123 [22]

Answer:

x = 4   ±9i

Step-by-step explanation:

x^2 - 8x + 97 = 0

Complete the square by subtracting 97 from each side

x^2 - 8x =- 97

Take the coefficient of x

-8 and divide by 2

-8/2 = -4

Then square it

(-4)^2 = 16

Add it to each side

x^2 - 8x + 16 = -97+16

(x-4)^2 = -81

Take the square root of each side

x-4 = ±sqrt(-81)

x-4 = ±9i

Add 4 to each side

x = 4   ±9i

5 0
3 years ago
Read 2 more answers
Sales for a company were 3 million dollars more the second year than the first, and sales for the third year were doubled the sa
Sati [7]

Year 3 = 2s

Year 2 = 3 + x

Year 1 = x

s = second year

x = first year

2s = 26

s = 13

The second year they made 13 million

13 - 3 = 10

x = 10

They made 10 million the first year.

6 0
3 years ago
Read 2 more answers
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