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Rzqust [24]
3 years ago
11

A boy throws a ball into the air. The equation h=−16t^2+23t+4 models the path of the ball, where h is the height (in feet) of th

e ball t seconds after it is thrown. How long is the ball in the air?
Mathematics
1 answer:
lina2011 [118]3 years ago
8 0

Answer:

0.72secs

Step-by-step explanation:

Given the height of the ball in air modeled by the equation:

h=−16t²+23t+4

Required

Total time it spent in the air

To get this we need to calculate its time at the maximum height

At the maximum height,

v = dh/dt = 0

-32t + 23 = 0

-32t = -23

t = 23/32

t = 0.72secs

<em>Hence the total time it spend in the air will be 0.72secs</em>

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Read 2 more answers
Divide 25/11 by 5/22<br>​
Igoryamba

Answer:

25/11 divided by 5/22 = 10

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 11 on the left side and the dividend 25 on the right side like this:

           

 1 1 ⟌ 2 5  

Step 2:

The divisor (11) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

       0    

 1 1 ⟌ 2 5  

Step 3:

Multiply the divisor by the result in the previous step (11 x 0 = 0) and write that answer below the dividend.

       0    

 1 1 ⟌ 2 5  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

       0    

 1 1 ⟌ 2 5  

     - 0    

       2    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

 1 1 ⟌ 2 5  

     - 0    

       2 5  

Step 6:

The divisor (11) goes into the bottom number (25), 2 time(s). Therefore, put 2 on top:

       0 2  

 1 1 ⟌ 2 5  

     - 0    

       2 5  

Step 7:

Multiply the divisor by the result in the previous step (11 x 2 = 22) and write that answer at the bottom:

       0 2  

 1 1 ⟌ 2 5  

     - 0    

       2 5  

      2 2  

Step 8:

Subtract the result in the previous step from the number written above it. (25 - 22 = 3) and write the answer at the bottom.

       0 2  

 1 1 ⟌ 2 5  

     - 0    

       2 5  

     - 2 2  

         3  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 25 divided by 11 calculated using Long Division is:

7 0
3 years ago
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