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2 years ago

A circle has a radius of 8 centimeters. The measure of the arc of the

Mathematics

1 answer:

Gnesinka [82]2 years ago

3 0

Answer: 10.1

Step-by-step explanation:

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Three consecutive even integers have a sum of 48 . find the integers.

Mandarinka [93]

x+(x+2)+(x+4)=48

3x+6=48

Minus 6 to both sides

3x=42

Divide 3 to both sides

x=14

Get the next two integers

x,x+2,x+4 or 14,16,18 = 48 is you Answer

4 0

3 years ago

The cost, in dollars, of producing x belts is given by Upper C (x )equals 970 plus 12 x minus 0.076 x squared. The revenue, i

umka21 [38]

Answer:

$68.44 for each additional belt

Step-by-step explanation:

The cost and revenue functions are:

$C(x) = 970+12x - 0.076x^2\\R(x) =43x^{\frac{3}{4}}$

The profit function, P(x), is given by subtracting the cost function from the revenue function.

$P(x) = R(x) - C(x)\\P(x)=43x^{\frac{3}{4}}+0.076x^2-12x-970\\$

The derivate of the profit function gives us the rate at which profit changes:

$\frac{dP(x)}{dx} =P'(x)=32.25x^{\frac{-1}{4}}+0.152x-12\\$

For x = 484, the rate of change is:

$P'(484)=32.25*484^{\frac{-1}{4}}+0.152*484-12\\P'(484) = \$68.44/belt$

Profit is increasing by $68.44 for each additional belt

3 0

2 years ago

Please help. Is algebra.

tatyana61 [14]

Answer:

Step-by-step explanation:

hope this helps :)

5 0

2 years ago

Read 2 more answers

Tina is 4 times older than Hanna. The sum of their ages is 40. How old is Hanna?

Ksenya-84 [330]

Answer:

Hanna is 8 years old.

Step-by-step explanation:

Hanna = x

Tina = 4x

Sum = 40.

Hanna =?

Hanna + Tina = 40

4x + x = 40

5x = 40

x = 40/5

x = 8.

Hanna is 8 years old.

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2 years ago

Susie drew the shape with a perimeter of 36 inches then she drew a square one side of the square was x inches What is the perime

tatuchka [14]

Answer:

Step-by-step explanation:

3 0

2 years ago