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SashulF [63]
3 years ago
13

over the last evening, Karen received a total of 75 phone calls at the call center. The second evening, she received 3 times as

many calls as the third evening. The first evening, she received 10 fewer calls than the third evening. How many phone calls did she receive each evening?
Mathematics
1 answer:
Marysya12 [62]3 years ago
4 0
Answer: if you’re saying she received 75 calls the first evening then she would have received 10 more then that which is 85 on the third evening and 85x3 = 255 on the second evening.

So first evening 75
Second evening 255
Third evening 85
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A cylinder has a radius of 5 feet and a height of 8 feet. Which of the following can be used to calculate the volume of a cone t
Lilit [14]
The answer is 1 over 3(3.14)(5²)(8) 

The volume of the cylinder (V1) is:
V1 = π · r² · h                (r - radius, h - height)

The volume of the cone (V2) is:
V2 = 1/3 π · r² · h         (r - radius, h - height)

It is given:
r = 5 feet
h = 8 feet
π = 3.14

Therefore, the volume of the cone is:
V2 = 1/3 · 3.14 · 5² · 8   which is the same as 1 over 3(3.14)(5²)(8). 

6 0
3 years ago
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What is the distance between 3, 5 and -4, 1
USPshnik [31]

Answer:

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Step-by-step explanation:

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(x_{1},y_{1}) = coordinates of the first point

(x_{2},y_{2} ) = coordinates of the second point

To solve, plug the appropriate values into the formula.

d=\sqrt{(-4-3)^{2} +(1-5)^{2} } = \sqrt{65} = 8.062257748

5 0
3 years ago
Help? I'm not sure I understand how to solve this.
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8 0
3 years ago
What is the equation of the line that passes through the points (−2,4) and (0,3)?
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y=-1/2x+3

Step-by-step explanation:

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patriot [66]
The given function is f(x) = x⁶(x-1)⁵

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       = x⁵(x-1)⁴(11x - 6)
The critical values are the zeros of f'(x). They are
x = 0, 6/11, and 1.
The critical values indicate that turning points exist for f(x) at the critical points. However, we do not know the nature of the turning points.

Write the first derivative in the form f'(x) = (x-1)⁴(11x⁶ - 6x⁵).
The second derivative is
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        = (x-1)³(44x⁶ - 24x⁵ + 66x⁶ - 30x⁵ - 66x⁵ + 30x⁴)
        = (x-1)³(110x⁶ - 120x⁵ + 30x⁴)
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The sign of f''(x) at the critical values tell us the nature of the turning point.

f''(0) = 0, therefore a point of inflection exists at x = 0.
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f''(1) = 0, therefore a point of inflection exists at x=1.

The graphs shown below confirm these results.

8 0
3 years ago
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