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Ivahew [28]
3 years ago
8

A catapult launches a boulder with an upward velocity of 112 ft/s. The height of the boulder, h, in feet after t seconds is give

n by the function h= -16t^2 + 112t + 30 .
How long does it take the boulder to reach its maximum height? What is the boulder’s maximum height? Round to the nearest hundredth, if necessary.



A. 7 s; 30 ft
B. 3.5 s; 366 ft
C. 3.5 s; 618 ft
D. 3.5 s; 226 ft
Mathematics
1 answer:
defon3 years ago
7 0
To determine the time it takes for the maximum height to be achieved, derive the  equation and equate to zero. 
                        h = -16t² + 112t + 30
                       dh / dt = 0 = 2(-16)t + 112
The value of t is 3.5 s. Substitute this value of time to the equation for h,
                         h = -16 x (3.5 s)² + 112 x 3.5 s + 30 = 226 ft
Thus, the answer is letter D. 
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PLEASE HELP ANYONE
LUCKY_DIMON [66]
For this problem all you have to do is plug in the value that they is in parenthesis for x. If it says g (x) = x and then it asks g(5) = ?, it is saying what happens if i put 5 in for every x. in this case it would be g (5) = 5. I just replaced x with 5.

So g (-2) we sub -2 for x
g (-2) = -2 (-2)^2 + 3 (-2) - 5
= -2 (4) - 6 - 5
= -19

g (0) = -2 (0) + 3 (0) - 5
= 0 + 0 - t
= -5

g (3) = -2 (3)^2 + 3 (3) - 5
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6 0
4 years ago
The length of a rectangle is 6 cm longer than its width.
oksian1 [2.3K]
2(6+w)+2(w)=40
12+2w+2w=40
12+4w=40
4w=28
w=7
Now we know that the width is 7; abd the length is 7+6 which is 13.
To find the area we multiply 13x7
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4 0
3 years ago
Kelly tells you that when variables are in the denominator, the equation becomes unsolvable. "There is a value for x that makes
saveliy_v [14]

The problem can be translated into an equation that is something like 4/5 + 3/x = 1/2 
we cannot have x equal to zero because the number can be infinite. 
So the LCD here is 10x, so multiply both sides by that to get: 
8x + 30 = 5x 
Subtract 5x and 30 from both sides: 
3x = -30 
divide: 
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8 0
3 years ago
Given: O is the midpoint of MN OM = OW<br> Prove: OW = ON
mafiozo [28]
Answer is in the attachment below.

3 0
3 years ago
Read 2 more answers
What is the area of this regular pentagon that has been divided into five congruent triangles?
Len [333]

Answer:

120 cm^2.

Step-by-step explanation:

The area of one triangle = 1/2 * base * height

= 1/2 * 8 * 6

= 1/2 * 48

= 24 cm^2

So area of the pentagon = 5 * 24

= 120 cm^2.

7 0
3 years ago
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