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Contact [7]
3 years ago
15

Find the time required for an object to cool from 280°F to 220°F by evaluating the following where t is time in minutes. (Round

your answer to four decimal places.) *280 t= 10 In 2 1 dT T – 100 min​

Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0

9514 1404 393

Answer:

  5.8496 min

Step-by-step explanation:

  \displaystyle t=\frac{10}{\ln{2}}\int_{220}^{280}{\frac{1}{T-100}}\,dT=\frac{10(\ln{(280-100)}-\ln{(220-100)})}{\ln{2}}=\frac{10\ln{(3/2)}}{\ln{2}}\\\\\boxed{t\approx5.8496\quad\text{min}}

__

Modern calculators can perform integration with high accuracy. This one gives the same result.

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Rounded to the nearest dime what is the greatest amount of money that rounds to $105.40?
Lelechka [254]

If I understand this correctly I would say $105. Hope this helps. :)

4 0
3 years ago
This answer needs to be rounded to the nearest hundredth. Example:12.34
lara [203]
Answer is 14.14
Reason
Using Pythagorean theory
a^2 + b^2 = c^2
The two legs are a and b, the longest diagonal opposite the right angle is c
10^2 + 10^2 = c^2
200 = c^2
Take square root of both sides
14.14 = c
7 0
1 year ago
Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.
Brut [27]

Answer:

Yes, because when the values are substituted in, the equation becomes a true statement

Step-by-step explanation:

plug in the values for x and y and see if the equation makes sense

x=3

y=11

1/3(3)+11=12

1+11=12

12=12

Since the above equation is true, the point is a solution for the linear equation.

7 0
3 years ago
What number must be added to 14,056 to result in a sum of 32,713
swat32
Well you have to subtract 14056 from 32713 and the answer will be 18657
4 0
3 years ago
Read 2 more answers
1/71 in multiplication inverse
Cloud [144]

Answer:

71

Step-by-step explanation:

1/71 * ? = 1

1/71 * x =  1  [consider 'x']

x = 1/(1/71)

x = (1/1)/(1/71)   [1 = (1/1)]

x = (1/1)* (71/1)

x = 71.

Hope you're satisfied.

8 0
3 years ago
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