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Aleks [24]
2 years ago
11

The temperature of a cup of coffee t minutes after it has been poured is described by the function

Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
5 0
A) You want to find t such that
.. C(t) = d
.. d = 20 +60*0.95^t
.. (d -20)/60 = 0.95^t
.. log((d -20)/60) = t*log(0.95)
.. t = log((d -20)/60)/log(0.95) . . . . . . time to cool to d degrees (d > 20)

b) C'(t) = 60*0.95^t*ln(0.95)
.. C'(1) = 60*0.95*ln(0.95) ≈ -2.924 °C/min
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Help I have a lot to do
BaLLatris [955]
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(intro) Slope is change in y divided by change in x (axes). Here, the y axis is depth and the x axis is hours. So, the slope is change in depth between any two points, divided by the change in hours between the same points. The slope of this line is half a foot depth divided by 2 hours.
a) So, the slope is 0.5 / 2 = 0.25, or 1/4.
b) The graph shows a constant rate of change because the line is straight (it increases at the same speed. If the line was curving, it would not be a constant rate of change).
c) Yes, because the line has a constant rate of change now.
4 0
2 years ago
19√$1143.8<br>can anyone solve this
IrinaK [193]
Well 19\sqrt{ $1143.8} =  19\sqrt{1143.8}

Simplified would be: 642.58213482

642.58213482 = 642.58 = $642.58

Answer: <span>642.58

Hope this helps!

</span>
5 0
3 years ago
Please answer my last question​
igomit [66]
What’s your last question
4 0
2 years ago
Help asap please, explain why too!
emmainna [20.7K]

Answer:

Yes triangle ABC and DEF are similar.

Step-by-step explanation:

One rule of triangles is that all the angles in a triangle will add up to 180 degrees.

Now, first, you will figure out the remaining angle in triangle ABC.

  1. Add up 35 and 20. (35 + 20 =55)
  2. Subtract 55 from 180 (180-55= 125)
  3. When you add 125, 35, and 20, you get 180, which should happen due to the rule of all angles in a triangle add up to 180.

Now, in triangle DEF, one angle is 125 and the other is 35. To find the other angle add 125 and 35 and subtract the sum of those two numbers from 180.

  1. 125 + 35 = 160
  2. 180-160= 20

The remaining angle is 20 degrees

As you can see, triangle ABC shares the same angles as triangle DEF.

This tells you that triangle ABC and triangle DEF are both similar due to the fact that they have the same measurements of triangles.

You can also tell they are similar because two angles in triangle ABC equal two angles in triangle DEF because of the Angle-Angle (AA) Similarity

I hope this explanation helped and have a good day!

8 0
3 years ago
What is 100 divided by the divine right of 10 to the power of 7
miss Akunina [59]

Answer:

I look it up in go.o.gle and found this answer

1e-47

8 0
2 years ago
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