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2 years ago

Chicago Pizza charges $10.49 for a medium 14" pepperoni pizza and NY Pizza charges $20.99 for an x-large 18" pepperoni pizza.

Mathematics

1 answer:

nignag [31]2 years ago

4 0

Answer:

The cost per square inch for the NY pizza is $0.08.

Step-by-step explanation:

To solve this problem we first need to calculate the area of each pizza, since they're circular their area is given by:

area = pi*r² = pi*(d/2)²

Chicago:

area = 3.14*(14/2)² = 153.86 square inches

NY:

area = 3.14*(18/2)² = 254.34 square inches

The cost per square inch is given by the cost of the pizza divided by it's area. So for NY:

cost per square inch = 20.99/254.34 = $0.08 per square inch

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Answer:

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Step-by-step explanation:

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Aleonysh [2.5K]

Answer:

t=5.18 minute

Step-by-step explanation:

Using Newton's law of cooling

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$T(0)=190\\T(1)=170\\T_{s}=66$

$\frac{dT}{dt}=-k(T-T_{s})\\\frac{dT}{(T-T_{s})}=-k*dt\\\int\limits {\frac{1}{T-T_{s} } } \, dT=-\int\limits {k} \, dt\\ln(T-T_{s})=k*t+C\\e*ln(T-T_{s})=e^{k*t+C} \\T-T_{s}=e^{k*t}*e^{C}\\e^{C}=C\\T-T_{s}=e^{k*t}*C\\T=T_{s}+e^{k*t}*C$

To find constant knowing the time and the temperature the first step of the change of energy in cup of coffee

$T=T_{s} +e^{-k*t}*C\\ C=190-66=124\\170=66+124*e^{-k*2}\\ 170-66=124*e^{-k*2}\\ln(\frac{104}{124})=ln*e^{-k*2}\\-0.175=-k*2\\k=0.08794$

Now using the constant of decreasing can find the time to be a 145 temperature the cup of coffee

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3 years ago

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Elanso [62]

Answer:

Step-by-step explanation:

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