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2 years ago

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Mathematics

1 answer:

ludmilkaskok [199]2 years ago

3 0

Fish A is 2 inches and fish B is 4 inches

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A car travels at a rate of 45 miles per hour for 5 hours. Let y be the distance, in miles, the car travels for a given amount of

Nuetrik [128]

Answer:

0 ≤ x ≤ 5

Step-by-step explanation:

I used the Desmos calculator

6 0

2 years ago

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

What is the value of x that makes the given equation true?<br> X-3x=2(4+x)

Ratling [72]

x - 3x = 2(4 + x)

-2x = 8 + 2x

-4x = 8

x = -2

7 0

2 years ago

Read 2 more answers

To decrease an amount by 7%, what single multiplier would you use?

Fofino [41]

To decrease something at 100% by 7% is:

100% - 7% = 93%

You multiply the original value by 0.93 to decrease it from it's original value by 7%

7 0

2 years ago

Will someone help me

faust18 [17]

Answer:

1.one solution

2.no solution

3.ifinitly many

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers