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KIM [24]
2 years ago
8

Use calculus to find the volume of the following solid SThe base of S

Mathematics
1 answer:
Elanso [62]2 years ago
8 0

Answer:

difficult Dino x shock so zero shock still is romp

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a volley ball player servers the ball. The ball follows a path given by the equation y=-0.01x^2+0.5x+3 where x and y are measure
dolphi86 [110]

Answer:

(a)

Distance from player should be 13.82 feet or 36.2 feet

(b)

The ball will go over the net

Step-by-step explanation:

we are given

The ball follows a path given by the equation

y=-0.01x^2+0.5x+3

where

x and y are measured in feet and the origin is on the court directly below where the player hits the ball

(a)

net height is 8 ft

so, we can set y=8

and then we can solve for x

8=-0.01x^2+0.5x+3

8\cdot \:100=-0.01x^2\cdot \:100+0.5x\cdot \:100+3\cdot \:100

800=-x^2+50x+300

-x^2+50x-500=0

x^2-50x+500=0

we can use quadratic formula

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

x=\frac{-50\pm \sqrt{50^2-4\left(-1\right)\left(-500\right)}}{2\left(-1\right)}

x=5\left(5-\sqrt{5}\right),\:x=5\left(5+\sqrt{5}\right)

x=13.82,x=36.2

So, distance from player should be 13.82 feet or 36.2 feet

(b)

we can plug x=30 and check whether y=8 ft

y=-0.01(30)^2+0.5(30)+3

y=9ft

we know that

height of net is 8 ft

so, the ball will go over the net


5 0
3 years ago
If F(x)=2x^2+3, then which of the following represent f(x+1). A.2x^2+2. B. X^2+3. C. 2x^2+4x+1. D. 2x^2+4x+5
serg [7]
Hi,
If it is f(x)=2x²+3 and not F(x)=2x²+3 then 
Answer D.

f(x)=2x^2+3\\

f(x+1)=2(x+1)^2+3\\
=2(x^2+2x+1)+3\\
=2x^2+4x+5\\


5 0
3 years ago
Which of the following is the mid segment of ABC
madam [21]

Answer:

LM

Step-by-step explanation:

A midsegment is the line from the midpoint of 2 sides of the triangle and parallel to the third side.

L is at the midpoint of AB and M is at the midpoint of BC

LM is the midsegment


3 0
3 years ago
Read 2 more answers
Riley's dentist has an aquarium in his office with the dimensions 16 in. By 8.5 in. By 10.5 in. What is the volume of the aquari
ad-work [718]

Answer:

1428

Step-by-step explanation:

I did 16 times 8.5 times 10.5. Good Luck!

6 0
2 years ago
Will give brainliest ^-^
ANEK [815]

area of square = 9 x 9 = 81 square feet


 area of 1 corner = 1/2 * 3 * 3 = 4.5 square feet

4.5 * 4 = 18 square feet total of all 4 corners

81 - 18 = 63 square feet total not covered by benches.


Please mark Brainliest.


3 0
3 years ago
Read 2 more answers
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