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kipiarov [429]
3 years ago
15

An ice cream cone is 5" deep and 2" in top diameter. One scoop of vanilla ice cream, 2" in diameter, is placed on the

Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

Answer:

  No

Step-by-step explanation:

The volume of the sphere is given by ...

  V = (4/3)πr³ = (4r)·(1/3)πr²

The volume of the cone is given by ...

  V = (1/3)πr²h = h·(1/3)πr²

So, the cone will overflow if ...

  4r > h . . . . cone would overflow

In this problem, r = 1 inch and h = 5 inches, so ...

  4(1 in) < 5 in . . . . the cone will NOT overflow

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Three times the square of the difference of x and 6 is 12​
Elis [28]

Answer:

Equation: 3(x-6)^2=12

Solutions: x=4\text{ or }x=8

Step-by-step explanation:

Unknown variable = x

Difference of x and 6 = x - 6

Square of the difference of x and 6 =(x-6)^2

Three times the square of the difference of x and 6 =3(x-6)^2

Three times the square of the difference of x and 6 is 12, then

3(x-6)^2=12

Divide this equation by 3:

(x-6)^2 =4

Now

x-6=2\text{ or }x-6=-2\\ \\x=2+6\text{ or }x=-2+6\\ \\x=8\text{ or }x=4

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3 years ago
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If Melanie jogs 12.8 miles in 4<br> days, what is her mileage per<br> day?
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divide 12.8 and 4
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3 years ago
Nathan usually drinks 36 ounces or water per day. He read that he should drink 60 ounces of water per day. If he starts drinking
Tems11 [23]

Answer:

86.4 or 86% if you round

Step-by-step explanation:

60-36=24

24×3.6=86.4

5 0
2 years ago
Internet sites often vanish or move so that references to them cannot be followed. In fact, 13% of Internet sites referenced in
Dmitriy789 [7]

Answer:

The probability that all nine references are still good two years later is P(all nine are still good)=0.29.

The assumption we have to make is that the occurrence of the site references in the paper are independent events.

Step-by-step explanation:

The assumptions we have to make about the papers is that their probabilities of survival are independent of each other. This is the same as saying: The occurrence of the site references in the paper are independent events.

The probabilities of survival of any reference is:

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The probability of the nine references are still good later can be calculated as:

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The probability that all nine references are still good two years later is P=0.29.

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4 years ago
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