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kotykmax [81]
3 years ago
10

Susan throws a softball upward into the air at a speed of 32 feet per second from a 24 dash foot platform. the distance upward t

hat the ball travels is given by the function f left parenthesis t right parenthesis equals negative 16 t squared plus 32 t plus 24 . what is the maximum height of the? softball
Mathematics
1 answer:
nika2105 [10]3 years ago
5 0
In this problem, we don't need to come up with an equation anymore because it is already given. The speed and the length of the platform is already incorporated in the equation:

f(t) = 16t² +32t + 4

Now, we apply the concepts learned in Calculus. To find the maxima or minima of the function, you find the first derivative of the equation and equate it to zero. Using the formulas essential in differentiation, the derived form is

f'(t) = -32t + 32 = 0

Simplifying the equation:

-32(t-1) = 0
t - 1 = 0
t = 1

Since f(t) represents the distance, let's substitute t=-1 to the original equation to determine the maximum height:

f(-1) = -16(1)² +32(1) + 4 = 20 


That means that the maximum height is 20 feet. 
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Find the variable x.
grandymaker [24]

Answer:

x = 7

Step-by-step explanation:

The inscribed angle (5x - 3) is equal to half the measure of the intercepted arc

5x - 3 = 0.5(9x + 1) ← multiply both sides by 2

10x - 6 = 9x + 1 ( subtract 9x from both sides )

x - 6 = 1 ( add 6 to both sides )

x = 7

5 0
3 years ago
In 2010 Singapore welcome 11600000 overseas visitors.This value has been rounded off to the nearest 100000.What are the largest
spayn [35]

Answer:

The largest possible number of overseas visitors would be 11,640,000.

The smallest possible number of overseas visitors would be 11,550,000.

Step-by-step explanation:

The number 11,600,000 was rounded off to the nearest 100,000.

This means that either 0 or 1 was added to the figure with place value of 100,000.

It would be zero (0) in the case where the number after the 100,000th placed value number is lower than 5 and it would be one (1) in the case where the number after the 100,000th placed value is greater than or equal to 5.

Therefore, the largest possible number of overseas visitors would be 11,640,000.

The smallest possible number of overseas visitors would be 11,550,000.

7 0
3 years ago
OK people stop putting your questions in the awnser box because you are just using poibts that can go to other people who actual
Lyrx [107]

Answer:

yes ma'am

Step-by-step explanation:

5 0
2 years ago
-3|x+4|+16=7<br>two solutions​
DIA [1.3K]
-3|x+4|+16=7
-3|x+4|=7-16
-3|x+4|=-9
|x+4|=3
x+4=3
x+4=-3
x=-1
x=-7
X1=-7 X2=-1
3 0
3 years ago
Name this line in 3 ways
faltersainse [42]

Straight

Never ending (You can tell this as there are arrows on the ends)

On a diagonal with a negative slope

7 0
4 years ago
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