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artcher [175]
3 years ago
6

At the store Jason finds the total volume of soda in a pack is 50.24 cubic inches . If each cylinder -shaped can has a height of

4 inches and a diameter of 2 inches , how many soda cans are in a pack ? (Use 3.14 for pi)
A) 4

B) 5

C) 13

D) 2


Explain:
Mathematics
1 answer:
atroni [7]3 years ago
7 0

Answer: A) 4

Step-by-step explanation:

Hi, to answer this, first, we have to calculate the volume of each can:

Volume of a cylinder: π x radius^2 x height

Since:

Diameter: 2 radius

2 = 2r

2/2 =r

r=1

Back with the volume formula:

V = 3.14 ( 1)² 4 =12.54 cubic inches

Now, we have to divide the total volume of soda by the volume of each can:

50.24/12.54= 4 soda cans

Feel free to ask for more if needed or if you did not understand something.

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Write a quadratic relation in the form y = ax2 + bx + c with roots 4 and - 3 and
pochemuha

Answer:

y =  2*x^2 - 2*x - 24

Step-by-step explanation:

If we have a quadratic function with roots a and b, we can write the equation for that function as:

y = f(x) = A*(x - a)*(x - b)

Where A is the leading coefficient.

In this case, we know that the roots are: 4 and -3

Then the function will be something like:

f(x) = A*(x - 4)*(x - (-3) )

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Now we need to determine the value of A.

We also know that the graph of the function passes through the point (3, -12)

This means that:

f(3) = -12

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Now we need to write this in standard form, so we just need to expand the equation:

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Then the relation is:

y =  2*x^2 - 2*x - 24

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