3 years ago

Compare the function represented on the graph and the function modeled by y = 2/3 x .

Mathematics

1 answer:

Tpy6a [65]3 years ago

3 0

Answer:

Step-by-step explanation:

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Help once again !!!!

alekssr [168]

The answer is a rotation

6 0

3 years ago

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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

3 years ago

Find the value of h

slamgirl [31]

Answer:

h = 48

because 32 + 3h + 4 = 180

32 + 4 = 36

36 + 3h - 36 = 180 - 36

3h = 144

3h/3 = 144/3

h = 48

7 0

3 years ago

Factor the trinomial: 6x2 + 7x - 20

siniylev [52]

The correct answer is D. (3x - 4) (2x + 5)
Here's why:
6x2 + 15x - 8x - 20=
6x2 + 7x - 20

8 0

3 years ago

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If the lowest value of a data set increases what happens to the standard deviation

lara [203]

Answer:

It becomes lower

Step-by-step explanation:

This is because as the lowest value becomes larger, <em>one of the values becomes closer to the mean</em>, and as more numbers are closer to the mean, the standard deviation becomes lower.

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3 years ago