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Aleks [24]
3 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]3 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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Which is bigger: 0.3 or 1/3
valkas [14]
First, turn the fraction into a decimal to get a better look at the problem. To do that, divide the numerator (top half) by the denominator (bottom half). 1 divided by 3 = 0.33
0.33 is larger than 0.3. If it helps, add a 0 to 0.3 to get 0.30 and you'll see that 33 is in fact a larger number than 30. (Adding the zero does NOT change the number, it holds no place value it's just there for looks.)
4 0
3 years ago
Given the function f(x) = 2x, evaluate f (3).
Vsevolod [243]

Answer:

6

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4 0
2 years ago
Read 2 more answers
The quotient of b and 5 is -30.
eimsori [14]
<h2>A QUOTIENT IS A RESULT OF TWO TERMS DIVIDING EACH OTHER THEREFORE MATHEMATICALLY THE STATEMENT MEANS </h2>

b \div 5 =  - 30  \\  \frac{b}{5}  =  - 30

I CONVERTED b÷5 SO THAT I CAN USE CROSS MULTIPLICATION

b =  - 30(5) \\ b =  - 150

b is -150

HOPE THIS HELPS.

6 0
1 year ago
Ethan jogged around a track and completed 2.75 miles in 45 minutes. What is Ethan's speed in miles per hour?
Lemur [1.5K]
2.75 miles = 45 m
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i am a mathematics teacher. if anything to ask please pm me
4 0
3 years ago
Violet bakes 7 dozen cookies.
ipn [44]

Answer: 49 cookies

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so basically,, 84-2= 82 -2 = 58 -9= 49

I hope this helped :)

4 0
3 years ago
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