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DedPeter [7]
3 years ago
10

You solve an equation by finding the value that is?

Mathematics
1 answer:
Alex787 [66]3 years ago
6 0
Yes I think that is what you do but others can elaborate more im sure
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The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T min
Maslowich

Answer:

67.3°C

Step-by-step explanation:

A = 25, T(0) = 100, T(1) = 90, find T(4)

dT/dt = -k(T - A)

d(T - A)/dt = -k(T - A)

d(T - A)/(T - A) = -k dt

ln(T - A) = lnC - kt

T(t) -A=Ce^{-kt}\\T(t) = A + Ce^{-kt} = 25 + Ce^{-kt}\\T(0) = 25 + C = 100\\C=75

T(t) = 25 + 75e^{-kt}\\T(1) = 25 + 75e^{-k} = 90\\75e^{-k} = 65\\e^{-k} = \frac{65}{75}, k = ln\frac{75}{65} = 0.1431\\T(t) = 25+75e^{-0.1431t}\\T(4) = 25+75e^{-0.1431\times4} = 67.3

4 0
3 years ago
What is the product of all integers between √61 and √101
wariber [46]

√61 ≈ 7.8

√101 ≈ 10.05

The integers between these numbers are 8, 9, 10. The product of these is 720.

4 0
3 years ago
I’m supposed to solve this by eliminating the x variable
liberstina [14]

Answer:

the answer is (-4, 5)

Step-by-step explanation:

Let's use elimination by addition / subtraction:

-6x - 2y =  14

6x + 7y = 11

-------------------

        5y   = 25, so y = 5.

Substituting 5 for y in the 2nd equation, we get:

6x + 7(5) = 11, or:

6x + 35 = 11, or

6x = -24, or x = -4.

Thus, the answer is (-4, 5).  Please double check to ensure you have copied down both system of equations and answer correctly.

Check:  Is (-4, 5) a solution to this system?

Subst. -4 for x and 5 for y in the first equation:

            -3(-4) - (5) = 7

               12 - 5 = 7  YES

3 0
3 years ago
3/4x - 1 = 1/2x + 7
bazaltina [42]
The answer is D, good night
6 0
3 years ago
A man was 24 years old when his son was born . Now he is three times as old as his son . So how old is his son
leonid [27]
The son is 8. I’m not sure if I’m right hope this helps
3 0
3 years ago
Read 2 more answers
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