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Gelneren [198K]
3 years ago
14

Evaluate 6 to the power of negative 3

Mathematics
2 answers:
melomori [17]3 years ago
4 0
1/216 is the correct answer
yaroslaw [1]3 years ago
4 0
1/216 is the answer
                      
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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 4y when y = 5
Darina [25.2K]

Step-by-step explanation:

4y

4 (5)

4×5

20

y=20

Hope its helpfulllll

3 0
3 years ago
Jen has 6 crayons. Lisa has 3 crayons. Max has 1 more crayon than lisa. How many did they all have together
Dmitry [639]

Jen has 6 crayons

Lisa has 3 crayons

Max has = lisa +1 = 4 crayons

Jen + Lisa + Max = 6+3+4 = 13 crayons

Answer: 13 crayons

4 0
3 years ago
Read 2 more answers
For one photography session, Dexter earns no less than $50, but no more than $100. Which inequality can be used to represent his
Igoryamba
To answer let e be the amount of Dexter's earning. From the given conditions, it is implied that this value should be equal or more than $50. Further, this amount should also be less than or equal to $100. Mathematically, this can be expressed as,
                                50 ≤ e ≤ 100
The answer is letter D. 
6 0
3 years ago
Read 2 more answers
Max has more than 5 carrots( number of carrots Max has=c)
Marianna [84]

Answer:

"More than" is the same as "greater than".  The symbol for greater than is >

The inequality should be: c > 5

Step-by-step explanation:

4 0
3 years ago
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