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ValentinkaMS [17]
3 years ago
9

Pictures, x

Mathematics
1 answer:
masha68 [24]3 years ago
3 0
Wat fraction post a pic of the problem
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At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A
alexgriva [62]

Answer: A) Option B

B) 22.3 minutes.

Step-by-step explanation:

The temperature decreases in an exponential decrease, this means that we can write the equation as:

T(x) = A*r^x + B

Where A is the difference between the initial temperature and the room temperature, B is the room temperature, and r is a positive number smaller than 1, that says "how fast" the temperature decreases (and x is the variable, in units of time)

We know that the initial temperature

A = 200° - 72° = 128°

B = 72°

T(x) = 128°r^x + 72°

The only option with those two values is option B.

T(x) =  128(0.989)^x + 72

We should check that when x = 2m, the temperature must be 197°

T(2m) = 128*(0.989)^2 + 72 = 197.2° (that we can round down to 197°)

So this equation is correct

Now we want to find the time such the temperature is 172°F

then:

172° = 128°(0.989)^x + 72°

100° = 128°(0.989)^x

100/128 = (0.989)^x

x = ln(100/128)/ln(0.989) = 22.3 minutes.

Let's check in our equation:

T(22.3) =  128°(0.989)^22.3 + 72 = 172°

8 0
3 years ago
How do i solve -3=-2x+1 by graphing?
KonstantinChe [14]

Answer:

x = 2

Step-by-step explanation:

-3 = -2x + 1

minus 1 to the both sides

-3 -1 = -2x

-4 = -2x

divide both sides by -2

x = 2

8 0
3 years ago
Please help me with this
damaskus [11]

this is the answer y=−1/2x+45/2


3 0
3 years ago
PLEASE PLEASE HELP 50 POINTS
Crank

Answer:

The claim is " oreos are the most popular cookie at my house". The evidence is because you said that " oreos run out twice as fast as snickerdoodles." The reasoning is because my family eats twice as many oreos than snickerdoodles.

8 0
3 years ago
The ratio of yellow blue and red balloons is 2:3:2 respectively. If the total number is 28 is many yellow balloons are there
Phoenix [80]

Answer:

8

Step-by-step explanation:

The ratio of yellow balloons to the total is ...

... 2:(2+3+2) = 2/7

This fraction of 28 balloons is ...

... (2/7)·28 = 56/7 = 8 . . . . yellow balloons

8 0
3 years ago
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