a truck weighs 5,400 pounds. An open-wheel race car weighs 1/4 as much. how much does the race car weigh

Mathematics

2 answers:

Natasha2012 [34]3 years ago

6 0

The race car weighs 1350 pounds because 5400*one fourth is 1350

gtnhenbr [62]3 years ago

3 0

Since 1/4 is equal to 0.25 than you would do 5,400 times 0.25 and get the answer of 13,500.0. So the race car weighs 13,500 pounds.

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3 years ago

After sitting in a refrigerator for a while, a turkey at a temperature of 34 degrees F is placed on the counter and slowly warms

Anton [14]

Answer:

k = 0.006
T = 48 °F

Step-by-step explanation:

The initial temperature difference of 72 -34 = 38 °F is reduced to a difference of 72 -41 = 31 °F after 35 minutes. The exponential term in the temperature expression could have the factor ...

(31/38)^(t/35) = e^(-kt)

Taking the natural log, we find ...

(t/35)ln(31/38) = -kt

k = ln(38/31)/35 ≈ 0.00581711

To the nearest thousandth, this is ...

k ≈ 0.006

Using this in the equation for temperature, we have ...

T = 72 -38e^(-0.006t)

Filling in the desired value for t (80), we find the turkey temperature after 80 minutes to be about

T = 72 -38e^(-.006×80) = 72 -38e^-.48 ≈ 48.49

T ≈ 48 °F

The value of k is about 0.006, and the turkey temperature is about 48 °F.