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ryzh [129]
3 years ago
6

Look at pic!! #9 pls. Thank youuuuu. 20 points

Mathematics
1 answer:
Karolina [17]3 years ago
4 0
35n=280
n=8 8 dimes and 8 quarters
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Question
Jobisdone [24]

Answer:

The light bulb will reach the ground 1.25 seconds after it is dropped.

Step-by-step explanation:

We know that for an object that is in the air, the only force acting on it will be the gravitational force (where we are ignoring the air resistance)

Then the acceleration of the object is the gravitational acceleration, 32.17 ft/s^2

Then the acceleration of the light bulb is:

A(t) = (-32.17 ft/s^2)

Where the negative sign is because the acceleration is downwards.

Now, to get the velocity equation, we need to integrate the acceleration over time, we will get:

V(t) = (-32.17 ft/s^2)*t + V0

Where V0 is the initial velocity of the light bulb. Because it is dropped, the initial velocity will be zero, then V0 = 0m/s, then the velocity equation is:

V(t) =  (-32.17 ft/s^2)*t

Finally, to get the position equation we need to integrate again, we will get:

P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + P0

Where P0 is the initial height of the object, and in this case, we know that it is equal to 25 ft.

Then the position equation is:

P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + 25ft

The object will hit the ground when P(t) = 0 ft, then we need to solve that equation for t:

P(t) =  (1/2)*(-32.17 ft/s^2)*t^2 + 25ft = 0 ft

          25 ft =  (1/2)*(32.17 ft/s^2)*t^2

         2*25ft = (32.17 ft/s^2)*t^2

           50ft =  (32.17 ft/s^2)*t^2

         √( 50ft/(32.17 ft/s^2)) = t = 1.25 s

The light bulb will reach the ground 1.25 seconds after it is dropped.

8 0
3 years ago
Evaluate the expression
ohaa [14]

Answer:

  10

Step-by-step explanation:

\dfrac{5\cdot x^3}{x^2}=5x

For x=2, this is ...

  5·2 = 10

7 0
3 years ago
Read 2 more answers
Sales Price 50 %What was the original price of a washing machine wholesale price is $285?
irakobra [83]

Answer:

$570

Step-by-step explanation:

If 50% of the price is $285, all you have to do is mulipy 285 by 2. This would give you the answer of $570 as the orignal price of the washing machine.

4 0
3 years ago
If AABC = ADFE determine the values of x and y.
natita [175]

8y - 5 = 99 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 8y = 99 + 5 \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  8y = 104  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   y=  \frac{104}{8}   \\ \:  \:  \:  \ \:  \:  \:  y = 13

\:  \:  \:  \:  \:  \: 2y + x = 38.4 \\ 2(13) + x = 38.4 \\  \:  \:  \:  \:  \:  \: 26 + x = 38.4 \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   x = 38.4 - 26 \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  x = 12.4

6 0
3 years ago
Solve for R. 3 + 3r > 9
Nostrana [21]

Answer:

r > 2

Step-by-step explanation:

9-3 = 6

6/3 = 2

Have a good day :)

7 0
3 years ago
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