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Norma-Jean [14]
2 years ago
10

Steven warms a cup of a coffee to a temperature of 195°F and then leaves it to cool in a room that is 75°F. This equation repres

ents the
temperature, T, of the coffee in the cup after x minutes.
T = 75 + 120e-0.051
After how many minutes will the temperature of the coffee be approximately 141°F?
Mathematics
2 answers:
serg [7]2 years ago
7 0

Answer:

12 minutes

Step-by-step explanation:

worty [1.4K]2 years ago
6 0

Answer:

12 minutes

Step-by-step explanation:

First substitute 141°F for T in the given equation.

Then isolate the exponential term.

Now rewrite the equation as a natural log, and solve for x.

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The moon has a mass of 7.35x1022, while earth has a mass of 5.97x1024 Kg. What is the combined mass of the moon and earth.
Veseljchak [2.6K]

Answer:

6.0435*10²⁴

Step-by-step explanation:

Moon:  7.35*10²²

Earth: 5.97*10²⁴

7.35*10²² = 0.0735*10²⁴

then:

0.0735*10²⁴ + 5.97*10²⁴ = (0.0735 + 5.97)*10²⁴

=  6.0435 *10²⁴

5 0
3 years ago
Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing,
erma4kov [3.2K]
<span>The y-intercept of  is  .
Of course, it is 3 less than  , the y-intercept of  .
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It does not matter is the function is odd or even.

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The y-intercept, the value of  for  , is</span><span>which is  times the y-intercept of  .</span><span>Because of the negative factor/mirror-like graph, the intervals where  increases are the intervals where  decreases, and vice versa.
The end behavior is similarly reversed.
If  then  .
If  then  .
If  then  .
The same goes for the other end, as  tends to  .
All of the above applies equally to any function, polynomial or not, odd, even, or neither odd not even.
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4 0
3 years ago
Read 2 more answers
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vitfil [10]

Answer:

x=4.375

Step-by-step explanation:

-3(2x-7)+5=2x-9

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-6x-2x+26=2x-2x-9

-8x+26=-9

-8x+26-26=-9-26

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3 years ago
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Ten million more than 280,509,031
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That means you are multipliying 10,000,000 by 280,509,031...
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3 years ago
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let's one two and three have the following relationships &lt;1and &lt;2 are adjacent right angles &lt;1 and &lt;3 are vertical a
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Answer:

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This means that ∠3 and ∠1 form a straight line; this makes them a linear pair, which makes their sum 180°.

8 0
2 years ago
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