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kobusy [5.1K]
2 years ago
13

Leila drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 10 hours. When Leila drov

e home, there was no traffic and the trip only took 7 hours. If her average rate was 18 miles per hour faster on the trip home, how far away does Leila live from the mountains?
Physics
1 answer:
9966 [12]2 years ago
5 0

Answer:

420 miles

Explanation:

Since distance is speed times time taken, you get two conditions:

\left \{ {{d=v*10} \atop {d=(v+18)*7}} \right.

Easiest way to solve it is to set the two condition equal - she's coming and going from the same place after all - and you get 10v=(v+18)*7\\10v=7v+3*6*7\\3v=3*6*7 \\v=42 Replace in either equation and you'll get d=420

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The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t (measured in seconds) is given b
Mnenie [13.5K]

Explanation:

The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t (measured in seconds) is given by :

Q=t^3-2t^2+4t+4

We need to find the current flowing. We know that the rate of change of electric charge is called electric current. It is given by :

I=\dfrac{dQ}{dt}\\\\I=\dfrac{d(t^3-2t^2+4t+4)}{dt}\\\\I=3t^2-4t+4

At t = 1 s,

Current,

I=3(1)^2-4(1)+4\\\\I=3\ A

So, the current at t = 1 s is 3 A.

For lowest current,

\dfrac{dI}{dt}=0\\\\\dfrac{d(3t^2-4t+4)}{dt}=0\\\\6t-4=0\\\\t=0.67\ s

Hence, this is the required solution.

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3 years ago
Which natural hazards are most likely to affect Florida, due to its geography? Check all that apply. PLS HELP! I WILL GIVE BEST
zhenek [66]

Answer:

drought, floods, rip currents, tropical cyclones, wildfires

Explanation:

right on edge

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3 years ago
How does the law of conservation of energy apply to machines?
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3 years ago
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Give reason for the following:
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a) An inflated balloon was pressed against a wall after it has been rubbed with a piece of synthetic cloth. It was found that the balloon sticks to the wall. <u>This is because a positive and negative electric charge is produced, therefore the balloon sticks to the wall.</u>

b) When an object is thrown up, it comes back to ground <u>because of gravitational attraction force of earth</u>.

c) Mountaineers suffer nose bleeding at higher altitudes <u>because the oxygen level decreases with increase in altitude, which the body cannot adjust.</u>

d) Foundations of high rise buildings are kept wide <u>because more is the area of contact, less is the pressure efforts. So, foundations are wide so as to decrease the possibility of the building from falling down.</u>

e) Deep sea divers or high altitude fliers wear special suits <u>so as prevent their body from being crushed by the water pressure. Since water pressure is maximum at deep seas and oceans, therefore, more is the risk of being injured.</u>

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HOPE IT HELPS...

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2 years ago
When the magnetic flux through a coil of wire changes, what is generated between the ends of the coil? Which equation predicts t
True [87]

Answer:

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This phenomenon is fully explained by Faraday's law

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3 years ago
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