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Nataly [62]
3 years ago
13

3c + 5d = 7d – 6c, solve for d

Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0

Answer:

-3c+12d

Step-by-step explanation:

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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
2 years ago
What scale factor was applied to the first rectangle to get the resulting image?
Valentin [98]

Answer:

Divided by 5.

Step-by-step explanation:

It is five times smaller than the original picture.

3 0
3 years ago
5−4+7+1= 5 - 4 + 7 x + 1 = how is it no solution
laila [671]

Answer:

There is a solution. Here's how:

Step-by-step explanation:

So, you work out the problem, and you lay it out here:

5-4+7+1=5-4+7x+1.

First, you start by subtracting 5 from both sides, which cancels both of the 5s. Here's your equation now:

-4+7+1=-4+7x+1

Next, you add 4 to both sides, which makes you identify the identity.

Here's your equation now:

7+1=7x+1

Now, you subtract 1 from both sides.

Here's your equation now:

7=7x

Finally, divide both sides by 7, while identifying the identity.

x=1.

8 0
3 years ago
if someone deposited 2000 at 6% simple intrest . how long will it be before she has 2600 in her account
den301095 [7]
30. Given problem : You deposited 2 000 dollars, then you will earn 6% simple interest. Question: How long will it become 2 600 dollars. Well, you didn’t mention if it’s an annual interest or monthly interest. But let’s say that it’s a monthly interest, then let’s start solving: => 2000 Is the original amount + 6% interest first month = 2000 * .06 = 120 => 2000 + 120 = 2120 2nd month = 2120 *.06 = 127.2 => 2120 + 127.2 = 2247.2 3rd month = 2247.2 *.06 = 134.832 => 2247.2 + 134.832 = 2382.032 4th month = 2382.032 * .06 = 142.92192 => 2382.032 + 142.92192 = 2524.95392 5th month = 2524.95392 * .06 = 151.497 => 2524.95392 + 151.497 = 2676.45 Thus, on the fifth month she will earn this amount.
8 0
3 years ago
Penny reads 13 pages in 1/2 hour. What is the unit rate for pages per hour? For hours per page? How many hours per page
horsena [70]

Answer:

13 pages : 1/2 hour Multiply both sides by 2

26 pages : 1 hour ------>> 26 pages/hr

Flip over 26 pages/hr ----->>> hr / 26 pages = 1 hr / 26 pages

Split up the fraction: (1/26) hr / page

6 0
2 years ago
Read 2 more answers
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