Answer:
Total natural numbers lying between squares of 99 and 100 is 198
Number between 99 and 100 will be 3 digit number Let the 3 digit number be If 0 is in hundred’s place, the number will be like 023, 056,etc which is a two-digit number. So, 0 is not possible in hundreds place. Number of 3 digit numbers = 5 × 5 × 4 = 100
(a) The maximum height of the ball above the ground is 12.5 m and the time of motion is 1.43 s.
(b) The time taken for the ball to contact the other player at 0.5 m above the ground is 3.0 s.
<h3>Maximum height reached by the ball</h3>
The maximum height reached by the ball is calculated as follows.
At maximum height, the final velocity, v = 0
dh/dt = v = 0
dh/dt = -2(4.9)t + 14
0 = -9.8t + 14
9.8t = 14
t = 1.43 s
H(1.43) = -4.9(1.43)² + 14(1.43) + 2.5
H(1.43) = -10.02 + 20.02 + 2.5
H(1.43) = 12.5 m
<h3>Time to reach maximum height</h3>
12.5 = -4.9t² + 14t + 2.5
4.9t² - 14t + 10 = 0
t = 1.43 s
<h3>Time for the ball to reach 0.5 m above the ground</h3>
0.5 = -4.9t² + 14t + 2.5
4.9t² - 14t + - 2 = 0
t = 3.0 seconds
The complete question is below:
In a volleyball match Hanein serves the volleyball at 14 m/s, from a height of 2.5 m above the court. The height of the ball in flight is estimated using the equation, h = -4.9t² + 14t + 2.5, where t is the time in second and h is height above ground, in metres.
Learn more about time of motion here: brainly.com/question/2364404
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You can tell if it is going to be negative if there is a number with a greater value. for example -14 minus 7. that would be -7
You can tell if it is positive if one number has a bigger value. for example 12-(-6)=6
And if it is zero it would be something like this
-7+7 sorry that's hard to explain in words hoped this helped you
Answer:15
Step-by-step explanation:
Given
Craftsman sell 10 Jewelry set for $500 each
For each additional set he will decrease the price by $ 25
Suppose he sells n set over 10 set
Earning
Earning
differentiate to get the maximum value
Equate to get maximum value
Thus must sell 5 extra set to maximize its earnings.