Hello! remember to write complete and clear questions in order to get good and exact answers. I've found a similar question so I have written it in a comment above. We know that h(t) models the height, in feet, of a ball that is kicked into the air where t is given as time in seconds. This equation follows a quadratic function so from math we know that the maximum or minimum of this type of functions is found at the vertex of its graph. So:

$f(x)=ax^2+bx+c \\ \\ \\ Vertex \ (h,k): \\ \\ h=-\frac{b}{2a} \\ \\ k=f(-\frac{b}{2a}) \\ \\ \\ Our \ function \ is: \\ \\ h(t)=-16t^2+64t \\ \\ \\ Comparing: \\ \\ a=-16 \\ \\ b=64 \\ \\ c=0 \\ \\ \\ h=-(\frac{64}{2(-16)})=2 \\ \\ k=-16(2)^2+64(2) \\ \\ k=64$

Finally, the maximum height of the ball is found at 64 feet

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Volume of a box: brainly.com/question/10501080

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8 0

3 years ago

The angle of depression is 53 degrees. Solve for X. Correct answer will get brainliest

telo118 [61]

Use properties of alternate angles then apply trigonometry

5 0

3 years ago

emma is planning a surprise party. She is considering using one of two venues. The banquet of hall A will cost $862 fot a reserv

mylen [45]

Ok for this problem, there are 2 equations representing hall A and hall B

hall A: y=76x+862 where x=number of dinners and y=total cost

hall B: y=75x+894 for the same variables

To find where the 2 meet, simply substitute one equation into the other, creating: 76x+862=75x+894

Solving this, we find that x=32, so at 32 guests, the cost would be the same

For part 2, put the answer for part 1 into either equation from the start, so y=76(32)+862, or y=3294

And we already found that x=32, which represents the # of guests

4 0

3 years ago

Write an expression that is equal to 10 using only four 2s and any number of math symbols​

Write an expression that is equal to 10 using only four 2s and any number of math symbols