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Norma-Jean [14]
3 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]3 years ago
7 0

Answer:

12 minutes

Step-by-step explanation:

worty [1.4K]3 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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lianna [129]

Answer:

19:

4  <   third side    <   14  

20:

3  <   third side    <   13  

Step-by-step explanation:

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(fix the space between 17 and 28)

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6 0
3 years ago
Slope and rate of changes describe the same value true or false​
Anit [1.1K]

Answer:

True

Step-by-step explanation:

“Rate of change” means the same as “slope.” If you are asked to find the rate of change, use the slope formula or make a slope triangle.

8 0
3 years ago
Practice test
mariarad [96]

Answer:

it's a rectangle so the area is 6×8=48

3 0
3 years ago
Read 2 more answers
100 point to the first correct answer
miss Akunina [59]

Answer:

X ~ B(n, p)

Given: X ~ B(2, 5/17)

⇒  n = 2

⇒  p = 5/17

Binomial distribution formula:

\sf P(X = x) = nC_x (1-p)^{(n-x)}p^x

As n = 2, calculate P(X = 0), P(X = 1) and P(X = 2):

\sf P(X = 0) = 2C0 (\frac{12}{17})^{(2-0)}(\frac{5}{17})^0=\dfrac{144}{289}}

\sf P(X = 1) = 2C1 (\frac{12}{17})^{(2-1)}(\frac{5}{17})^1=\dfrac{120}{289}}

\sf P(X = 2) = 2C2 (\frac{12}{17})^{(2-2)}(\frac{5}{17})^2=\dfrac{25}{289}}

**Probability Distribution Table attached**

5 0
2 years ago
HELP 1/7z+2=-6/7z what’s the solution set please send help I’m suffocating under homework
Snezhnost [94]

Isolate the z. Note the equal sign. Subtract 1/7z to both sides

1/7z (-1/7z) + 2 = -6/7z (-1/7z)

2 = -6/7z - 1/7z

Simplify. Combine like terms

2 = -7/7z

2 = -1z

Isolate the z. Divide -1 from both sides

(2)/-1 = (-1z)/-1

z = 2/-1

z = -2

-2 is your answer

hope this helps

8 0
3 years ago
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