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djyliett [7]
3 years ago
14

The image below shows where coal deposits are found in the United States. Explain how these coal deposits are energy sinks and c

ould be potential energy sources.

Mathematics
1 answer:
Rudik [331]3 years ago
3 0

Answer:

It is a little bit trivial:

As we know:

Energy sink: is anything that uses energy.

Energy source: is anything that produces energy.

How the caol deposits can be energy sinks? well, you want to extract the coal from those deposits, and to do it, you need to "use energy" (the type of energy can depend on the extraction method, for example, if you use a pickaxe to extract the coal, you are using mechanical energy)

These coals are potential energy sources because coal is an energy source, potential means that, given some circumstances, something can transform into other things.

So potential energy source in this situation means that those coal deposits can be potential energy when we extract the coal and use it as an energy source.

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Jason jumped of a cliff into the ocean . His height as a function off time could be models as h(t)=16tsquared + 16t + 480 where
Karo-lina-s [1.5K]

I see that you are in high school, and I'm hoping that you've been introduced
to differential calculus, because I don't know how to answer this question without
using it.

We're told that Jason's height above the water is  <em>H(t) = -16t² + 16t + 480 .</em>
We can observe many things from this equation:
-- Up is the positive direction; down is the negative direction.
-- The acceleration of gravity is 32 ft/sec² .
-- Jason jumps upward from the cliff, at 16 ft/sec .
-- The cliff is 480-ft above the water.
(This tells us why the question is only concerned with his maximum height,
and then it ends ... 480-ft is one serious cliff, and what happens after the
peak of his arc is too gruesome to contemplate.)

In any case, his vertical velocity is the first derivative, with respect to time,
of his height above the water.

         V = -32 t + 16

At the peak of his arc, where gravity takes over, his velocity changes from
upward to downward, and it's momentarily zero.

                                           0 = -32t + 16

Add  32t  to each side:    32t = 16

Divide each side by  32:    <em>  t = 1/2 second</em>

His height at that instant is     H(0.5) = -16(0.5)² + 16(0.5) + 480 =

                                           <em>4-ft above the cliff,  484-ft above the water</em>,

and then he begins falling from that altitude.

The duration of his dive is      484 = 16 t²
                                                   t = √(484/16) = <em>5.5 seconds</em>

and he hits the water at      V = a t = (32) x (5.5) = 176 ft/sec = <em>exactly 120 mph </em>

Jason was good man ... a good student, and always kind to everyone he met.
He will certainly be missed.


5 0
3 years ago
Dan invests £1300 into his bank account.
alexandr402 [8]

Given parameters:

Principal  = £1300

Interest rate  = 5%

Duration  = 2yrs

Unknown:

Total amount of Dan's principal = ?

To solve this problem, we apply the equation below:

  Total investment worth  = Principal + interest

   Interest  = \frac{PRT}{100}

where P is the principal

          R is the rate

          T is the time

Now, input the parameters;

     Total investment worth  = £1300 + £ \frac{1300 x 5 x 2}{100}

                                             = £1300 + £130

                                             = £1430

The amount after two years is £1430

7 0
3 years ago
Help please ill give 12 points for the right answer
Aneli [31]

It’s it four I think hope it helps

8 0
3 years ago
write a compound inequality that represents the situation. all real numbers that are greater than –6 but less than 6 a. –6 ≤ x &
natali 33 [55]
<span>All real numbers that are greater than –6 but less than 6 is written as -6 < x < 6</span>
4 0
3 years ago
The number 1 is it's own multiplicative inverse. name another number with this property.
Lerok [7]

Answer:

2+1 = 3 . and 4-1 = 3

Step-by-step explanation:

TBH IDK IM HAVING TROUBLE WITH THIS TO

6 0
3 years ago
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