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3 years ago

Math help..........,

Mathematics

2 answers:

Gwar [14]3 years ago

7 0

B. x = 18 is the correct answer bc you have to subtract 6 from 24.

photoshop1234 [79]3 years ago

4 0

The answer is option B. x=18

Hope I could help!

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A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati

I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

$\frac{dT}{dt}=k*(T_r-T)$

If we rearrange and integrate

$\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}$

We know that at time 0, the temperature of the drink was 52°F. Then we have:

$T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20$

We also know that at t=2, T=55°F

$T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08$

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

7 0

4 years ago

PLEASE HELP ASAP!! CORRECT ANSWERS ONLY PLEASE!!!

rosijanka [135]

Answer:

Step-by-step explanation:

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6 0

3 years ago

Please help me with this

Naya [18.7K]

Answer:

the geratest distance is

10m at the time 20 sec

7 0

3 years ago

Which expression is equivalent to sec^2x − 1? a. cot2x b. tan2x c. csc2x d. cos2x

Nesterboy [21]

Sec^2 x - 1 = tan^2x

Proof:
Sec^2x = 1+ tan^2x

1/cos^2x = 1 + sin^2x/cos^2x

1/cos^2x - sin^2x/cos^2x = 1
Using common denominator:
(1-sin^2x)/cos^2x = 1
sin^2x + cos^2 x = 1
cos^2 x = 1 - sin^2x
Substituting :
cos^2x/cos^2x = 1
1 = 1
Left hand side = right hand side

4 0

3 years ago

Read 2 more answers

Choose the equation that matches the line PLZ HELP

Mars2501 [29]

Answer:

Step-by-step explanation:

You would want this one because it says that y intercept and it gives the slope.

Hope this helps.

3 0

3 years ago