How to solve (t^2)^-2(t^2)^-5

The polynomial - 16t+ vt +s, represents the height (in feet) of an object, where v is the

Anna007 [38]

Answer:

At 1.5 seconds and 2.5 seconds

Step-by-step explanation:

Because this is parabolic motion, the object will reach the height of 68 feet when it's going up AND when it's coming down. In order to find out those times, you set the h on the left side of the equation equal to 68, because h stands for height.

Set that equal to 0 and factor to solve for t:

Using the quadratic formula, we get t = 1.5 and t = 2.5

7 0

3 years ago

4.65 x 10 to the 3rd power

yaroslaw [1]

Answer:

(4.65 x 10)^3 = 100,544.625

Step-by-step explanation:

First, multiply 4.65 by 10

46.5

Now multiply this number by itself 3 times

46.5 x 46.5 = 2,162.25

2,162.25 x 46.5 = 100,544.625

So the answer is 100,544.625

Hope this helps :)

7 0

2 years ago

If the diagonal of a square is approximately 12.73, what is the length of its sides?

Alja [10]

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

$D^{2} = L^{2} + L^{2}$

Solving further, we have

$D^{2} = 2L^{2}$

Divide both sides by 2

$\frac{D^{2}}{2} = \frac{2L^{2}}{2}$

$\frac{D^{2}}{2} = L^2$

Take Square root of both sides

$\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}$

$\sqrt{\frac{D^{2}}{2}} = L$

Reorder

$L = \sqrt{\frac{D^{2}}{2}}$

Now, the value of L can be calculated by substituting 12.73 for D

$L = \sqrt{\frac{12.73^{2}}{2}}$

$L = \sqrt{\frac{162.0529}{2}}$

$L = \sqrt{{81.02645}$

$L = 9.001469325$

$L = 9.0015$ (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

7 0

3 years ago

Free fall reaches 216km per hour. What is rate in meters per second.? How many meters fall during 20 seconds free fall?

lakkis [162]

Given,

Rate of free fall = 216 km/h

Solution,

km/h to m/s is converted as follows :

$216\ \dfrac{km}{h}=216\times \dfrac{1000\ m}{3600\ s}\\\\=60\ m/s$

So, the rate of fall is 60 m/s.

If t = 20 s

Assume, initial velocity = 0

It will move under the action of gravity.

Using equation of motion,

$h=ut+\dfrac{1}{2}gt^2\\\\h=0+\dfrac{1}{2}\times 10\times 20^2\\\\h=2000\ m$

Hence, this is all for the solution.

4 0

3 years ago

Show me the work to this problem 4 1/8 + 2 3/5

Nonamiya [84]

Answer:

6 29/40

Step-by-step explanation:

1/8 times 5 equals 5/40 and 3/5 times 8 equals 24/40 you add them together to get 29/40 which can not be simplified then add 4 and 2 to get 6 so <u>6 29/40 </u>is your answer.

3 0

3 years ago

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