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Mars2501 [29]
3 years ago
9

if area of a circle varies directly as the cube of the radius, when the area is 625cm the radius is 5cm. calculate the area of a

circle of radius 8​
Mathematics
1 answer:
Maksim231197 [3]3 years ago
8 0

Answer:

as the above condition....

5×5×5=625

same,, applying for 8 cm

8×8×8=512cm..

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Please try to give me the answers
gladu [14]

Answer:

a = 1, b = 2, c = 3

Step-by-step explanation:

a +  \frac{1}{b +  \frac{1}{c} }  =  \frac{10}{7}  \\  \\ a +  \frac{1}{b +  \frac{1}{c} }  = 1 +  \frac{3}{7}  \\  \\ a +  \frac{1}{b +  \frac{1}{c} }  = 1 +   \frac{1}{\frac{7}{3} }  \\  \\ a +  \frac{1}{b +  \frac{1}{c} }  = 1 +   \frac{1}{2 + \frac{1}{3} }  \\  \\ equating \: like \: terms \: on \: both \: sides \\  \\ a = 1 \\  \\ b = 2 \\  \\ c = 3

5 0
3 years ago
What is the volume?<br> 8 cm<br> 8 cm<br> 8cm
ANEK [815]

Answer:

512(cm)3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A company’s profit in dollars is modeled by the equation p(x) = –0.5x2 + 100x, where x represents the number of units sold.
serg [7]

Answers:

a. The company needs to sell 100 units to reach the maxmum profit.

b. The company's maximum profit is $5,000.

Solution:

a. How many unit does the company need to sell to reach the maximum profit?

p(x)=-0.5x^2+100x

This is a quadratic equation, and its graph is a parabola vertical (because the veriable "x" is square). Comparing with the general form:

p(x)=ax^2+bx+c; a=-0.5, b=100, c=0

a=-0.5<0 (negative), then the parabola opens downward, and it has a maximimun value (maximum profit) at its vertex.

We can find the abscissa of the vertex (units that the company needs to sell to reach the maximum profit using the following formula:

x=-b/(2a)

Replacing b by 100 and a by -0.5 in the formula above:

x=-100/[2(-0.5)]

x=-100/(-1)

x=100

The company needs to sell 100 units to reach the maximum profit.


b. What's the company's maximum profit?  

To determine the maximum profit we substitute the value of "x" obrained in part "a" in the quadratic equation:

x=100→p(100)=-0.5(100)^2+100(100)

p(100)=-0.5(10,000)+10,000

p(100)=-5,000+10,000

p(100)=5,000

The company's maximum profit is $5,000.

6 0
3 years ago
An electric company charges an initial monthly fee for service and a fixed rate per kilowatt-hours (kWh) used. This table shows
Vlada [557]

<em>Here we are required to determine the initial monthly fee charged by the electric company.</em>

The initial fee charged by the electric company is; C = $10

To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.

y = mx + c.

  • where m = slope of the relation.

  • and c = <em>intercept = the initial fee charged by the electric company</em>.

  • y = <em>Monthly charge at each time</em>.

  • x = Usage

To find the slope;

  • m = (y2 - y1)/(X2 - x1)

  • m = (28 -22)/(150 - 100)

  • m = 6/50

  • m = 0.12.

By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).

Therefore, m = 0.12 , y = 82 and X = 600;

we then have;

  • 82 = 0.12(600) + c.

  • C = 82 -72

  • C = $10.

Therefore, the initial fee charged by the electric company is; C = $10.

Read more:

brainly.com/question/22163485

8 0
2 years ago
I don't understand how these work. Can you help me please?
kherson [118]
I so understand that doesn't mean I so
4 0
3 years ago
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