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elena-s
5 days ago
12

A dealer sold 13 quarts containers and 11 pint containers of ice cream in one day. The number of gallons of ice cream he sold wa

s
Mathematics
1 answer:
PIT_PIT [9.1K]5 days ago
4 0

Answer:

4.625 gallons

Step-by-step explanation:

1. 11 pints plus 13 quarts equals 18.5 quarts

2. 18.5 quarts corresponds to 4.625 gallons

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Answer:

The formula representing the penny's height as a function of time is:

h(t)=1451-16t^2

After 7 seconds, the height of the penny will reach 667 feet.

Step-by-step explanation:

The penny experiences free fall.

With an initial velocity of zero and an initial height of h(0)=1,451.

Gravity acts as the acceleration, measured as g=32 ft/s^2.

The model can be initiated by analyzing speed:

dv/dt=-g\\\\v(t)=v_0-gt=-gt

Then, the height is expressed as:

dh/dt=v(t)=-gt\\\\h(t)=h_0-\dfrac{gt^2}{2}=1451-\dfrac{32}{2}t^2\\\\\\h(t)=1451-16t^2

The height of the penny at approximately 7 seconds can be calculated as:

h(7)=1451-16(7^2)=1451-16*49=1451-784=667

After 7 seconds, the penny will stand at a height of 667 feet.

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