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3 years ago

Karyn proofreads 15 pages in 2 hours for $40. How much does she receive on average for a page?

Mathematics

1 answer:

salantis [7]3 years ago

6 0

Is it $0.75 cents..... 15/40 times 2 and u will get 75 cents

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At 2 PM, a thermometer reading 80°F is taken outside where the air temperature is 20°F. At 2:03 PM, the temperature reading yiel

Alexeev081 [22]

Use Law of Cooling:
$T(t) = (T_0 - T_A)e^{-kt} +T_A$
T0 = initial temperature, TA = ambient or final temperature

First solve for k using given info, T(3) = 42
$42 = (80-20)e^{-3k} +20 \\ \\ e^{-3k} = \frac{22}{60}=\frac{11}{30} \\ \\ k = -\frac{1}{3} ln (\frac{11}{30})$

Substituting k back into cooling equation gives:
$T(t) = 60(\frac{11}{30})^{t/3} + 20$

At some time "t", it is brought back inside at temperature "x".
We know that temperature goes back up to 71 at 2:10 so the time it is inside is 10-t, where t is time that it had been outside.
The new cooling equation for when its back inside is:
$T(t) = (x-80)(\frac{11}{30})^{t/3} + 80 \\ \\ 71 = (x-80)(\frac{11}{30})^{\frac{10-t}{3}} + 80$
Solve for x:
$x = -9(\frac{11}{30})^{\frac{t-10}{3}} + 80$
Sub back into original cooling equation, x = T(t)
$-9(\frac{11}{30})^{\frac{t-10}{3}} + 80 = 60 (\frac{11}{30})^{t/3} +20$
Solve for t:
$60 (\frac{11}{30})^{t/3} +9(\frac{11}{30})^{\frac{-10}{3}}(\frac{11}{30})^{t/3} = 60 \\ \\ (\frac{11}{30})^{t/3} = \frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}} \\ \\ \\ t = 3(\frac{ln(\frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}})}{ln (\frac{11}{30})}) \\ \\ \\ t = 4.959$

This means the exact time it was brought indoors was about 2.5 seconds before 2:05 PM

8 0

4 years ago

Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary

Masja [62]

Answer: 150.7

Step-by-step explanation:

i did the math for it

3 0

3 years ago

Read 2 more answers

I need help please.

Lera25 [3.4K]

Answer:

135

Step-by-step explanation:

first of all, the units is meters, because that is what they are asking for and have written down in the diagram.

second, to find the perimeter you must add up the values of all the sides.

as shown by the diagram all of the sides are 27 each. and there is 5 sides.

you can add 27 to itself 5 times, or you could just do 27*5. =135.

7 0

3 years ago

Which expression are equivalent 10

Nady [450]

Answer:

I believe the answer to this question is: B.

5 0

3 years ago

A photograph measuring 2 inches by 3.6 inches is enlarged to increase the original 2-inch dimension to 5 inches. When this is do

sleet_krkn [62]

Answer:

9 inches

Step-by-step explanation:

2 x 2.5 = 5

3.6 x 2.5 = 9

3 0

3 years ago