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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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Twelve decreased by twice a number is the same as 8 times the sum of the number and 4. What is the number.
oksano4ka [1.4K]

Answer: -2

Step-by-step explanation:

Let the number be x , then twice the number is 2x.

Twelve decreased by twice the number = 12 - ( 2x )

8 times the sum of the number and 4 = 8 ( x + 4 )

combining the two , we have

12 - 2x = 8 ( x + 4 )

12 - 2x = 8x + 32

12 - 32 = 8x + 2x

-20 = 10x

x = -20/10

x = -2

7 0
3 years ago
Paper plates come in packages of 15 or 20. George bought 10 packages and had a total of 170 plates. How many of each package did
damaskus [11]
The answer to your question is 17
8 0
3 years ago
In
Ivenika [448]

Answer:

I believe that the first 9 (90) is 100 times greater than the second 9 (9000).

Step-by-step explanation:

If you multiply 90 by 10, it will get 900, which is not enough!

5 0
3 years ago
18% of 350 students
Drupady [299]
X       18
350   100

6300/100=63
3 0
4 years ago
Read 2 more answers
Can anyone pls pls pls help me in dis pls I will mark u as brainliest!!!!
motikmotik

Answer:

See below.

Step-by-step explanation:

Infinite Solutions:

1. \:\:n=n\\\\2.\:\:y\cdot -6\cdot -3=2\cdot y\cdot 9\\\\3. \:\:5-9+3x=-10+6+3x\\\\4. \:\:2t+6=2(t+3)\\

No Solutions:

1. \:\:v+2=v-2\\\\2.\:\:\frac{1}{4}\left(20d+4\right)=5d\\\\3.\:\:3\left(n+1\right)=3n+1\\\\4.\:\:\frac{1}{2}+x=\frac{1}{3}+x

5 0
4 years ago
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