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Lorico [155]
3 years ago
6

Megan is sitting in her car in a parking lot. The car next to her pulls forward. If Megan is looking only at the car next to her

as it pulls forward, in which direction does her car appear to be moving?
Mathematics
1 answer:
Zina [86]3 years ago
6 0

Answer:Backward

Step-by-step explanation:

If the car next to Megan is being Pulled Forward and Megan is seeing only the pulled car then her car appears to be moving backward.

This can be said by using the concept of relative velocity which states that the speed of the body with respect to the other is considered to be at rest.

Here Megan's car appears to move backward with respect to the car next to her due to the existence of relative velocity.

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The area that lies between Z= - 0.42 and Z= 0.42 is
valentinak56 [21]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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A tank initially contains 60 gallons of brine, with 30 pounds of salt in solution. Pure water runs into the tank at 3 gallons pe
adoni [48]

Answer:

the amount of time until 23 pounds of salt remain in the tank is 0.088 minutes.

Step-by-step explanation:

The variation of the concentration of salt can be expressed as:

\frac{dC}{dt}=Ci*Qi-Co*Qo

being

C1: the concentration of salt in the inflow

Qi: the flow entering the tank

C2: the concentration leaving the tank (the same concentration that is in every part of the tank at that moment)

Qo: the flow going out of the tank.

With no salt in the inflow (C1=0), the equation can be reduced to

\frac{dC}{dt}=-Co*Qo

Rearranging the equation, it becomes

\frac{dC}{C}=-Qo*dt

Integrating both sides

\int\frac{dC}{C}=\int-Qo*dt\\ln(\abs{C})+x1=-Qo*t+x2\\ln(\abs{C})=-Qo*t+x\\C=exp^{-Qo*t+x}

It is known that the concentration at t=0 is 30 pounds in 60 gallons, so C(0) is 0.5 pounds/gallon.

C(0)=exp^{-Qo*0+x}=0.5\\exp^{x} =0.5\\x=ln(0.5)=-0.693\\

The final equation for the concentration of salt at any given time is

C=exp^{-3*t-0.693}

To answer how long it will be until there are 23 pounds of salt in the tank, we can use the last equation:

C=exp^{-3*t-0.693}\\(23/60)=exp^{-3*t-0.693}\\ln(23/60)=-3*t-0.693\\t=-\frac{ln(23/60)+0.693}{3}=-\frac{-0.959+0.693}{3}=  -\frac{-0.266}{3}=0.088

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3 years ago
What is 37.5% of a fraction
Salsk061 [2.6K]
3/8 hope this helped
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<span>y= -x^2 + bc + c represents a vertical parabola that opens down.  As x approaches either + or - infinity, the function approaches  - infinity.  Imagine an upside down parabola; doing so will confirm this answer.

</span>
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3 years ago
Three consecutive natural numbers have a sum of 36. What is the greatest number?
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It's 12 because if you divide 36 by 3 (consecutive) it equals 12
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3 years ago
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