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abruzzese [7]
3 years ago
5

A cylinder trash can is 4.5 feet tall and holds 56.52 cubic feet of trash. What is the area of its base?

Mathematics
1 answer:
Tomtit [17]3 years ago
6 0

By definition, the volume of a cylinder is given by:

V = A * h

Where,

A: area of the base

Cylinder height

Clearing the area of the base we have:

A = V / h

Substituting values we have:

A = 56.52 / 4.5\\A = 12.56 feet ^ 2

Answer:

the area of its base is:

A = 12.56 feet ^ 2

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Find all the critical points of h(x) = x^3 − 3x^4 and categorize them as local
neonofarm [45]

Answer:

0 is an inflection point

1/4 is a local maximum.

Step-by-step explanation:

To begin with you find the first derivative of the function and get that

h'(x) = 3x^2 - 12x^3

to find the critical points you equal the first derivative to 0  and get that

3x^2 - 12x^3 = 0, x =  0,1/4

To find if they are maximums or local minimums you use the second derivative.

h''(x) = 6x-36x^2

since h''(0) = 0 is neither an inflection point, and since h''(1/4) = -3/4 then 1/4 is a maximum.

6 0
3 years ago
Chazmire purchases 14 bags of flour for her bakery.Each bag of flour cost $2.47. How much does chazmire soend for flout
solong [7]

Answer:

$34.58

Step-by-step explanation:

If each bag of flour cost $2.47, then;

1 bag = $2.47

To calculate the cost of 14bags;

14 bags = x

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Divide both expressions

1/14 = 2.47/x

cross multiply

1 * x = 14 * 2.47

x = $34.58

Hence Chazmire spent $34.58 on flour

5 0
3 years ago
Prove that at a party where some people shake hands, the number of people who shake hands with an odd number of people is an eve
Kobotan [32]
If there are n people, each person could shake hands with 0 people, 1 person, 2 people,... on up to shaking hands with n − 1
people. Count how many different answers there are to asking the person the question "How many hands did you shake?" How many people are there? If the people are the pigeons, and the possible answers to the question "how many hands did you shake" are the holes, can we conclude anything yet? No? How about now noticing that at least one of the holes "I shook hands with noone" or "I shook hands with everyone" has to be empty... now what?

"Since there are more pigeons than holes there must be a hole with at least two pigeons in the same hole" Now, replace the word "pigeons" and "holes" with the appropriate terms for the context of your specific question, remember we are talking about people and number of handshakes they participated in.
5 0
3 years ago
53/7 as a mixed number
marysya [2.9K]
Its already an improper fraction.
If you mean mixed number it would be 7 4/7.
Hope this helps!:)
7 0
3 years ago
Read 2 more answers
Help with this math question
ZanzabumX [31]
That easy 56.8.895 because when u add all the steps u find u answer so don’t let it fool u
5 0
3 years ago
Read 2 more answers
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