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Sidana [21]
3 years ago
9

H= -16t^2+16t+192 When will the ball hit the​ ground?

Mathematics
1 answer:
liubo4ka [24]3 years ago
6 0

Answer:

t = 4 s

Step-by-step explanation

We can infer the origin from the t⁰ term of the quadratic as being 192 feet above the ground. Initial velocity is  16 ft/s from the t¹ term, gravity is -32 ft/s² from the t² term

0 = -16t² + 16t + 192

0 = -t² + t + 12

0 = t² - t - 12

0 = (t - 4)(t + 3)

so either

t - 4 = 0

t = 4 s

or

t + 3 = 0

t = -3 s  which we ignore as it occurs before the ball is released.

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Is the function given by ​f(x)equalsleft brace Start 2 By 2 Matrix 1st Row 1st Column one fourth x plus 1 comma 2nd Column for x
MArishka [77]

Answer:

C. The given function is continuous at x=4 because the limit is 2.

Step-by-step explanation:

Given the function:

f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right

We are to determine if the function is continuous at x=4.

For a function to be continuous  at some value c in its domain:

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  • f(c)=Lim_{x \to c}$ f(x)

Now: at x=4

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5 0
3 years ago
Please help me with the question please
Vinil7 [7]
The x is 72 because it’s sup
5 0
3 years ago
a 20 foot ladder against a building that makes an angle of 72 with the ground.find to the nearest foot the distance between the
makvit [3.9K]

Hello from MrBillDoesMath

Answer:   6.2 feet

           

Discussion:

The ladder and the wall form a right triangle. The length of the ladder, 20 in this case, is the hypotenuse of the triangle. Let  "x" be the distance between the foot of the ladder and the building. Then from trigonometry,

cos (@) = length of adjacent side/ hypotenuse  

or in our case

cos(72) =  x / 20 =>            (multiply both sides by 20)

20 * cos(72) = x.

Using a calculator this becomes

20 *  ( .3090) =   6.18 feet  (approx)   or 6.2 feet , rounded to the nearest foot.



Thank you,

Mr. B


6 0
3 years ago
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