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olchik [2.2K]
3 years ago
5

5!4! = evaluate the problem.

Mathematics
1 answer:
Wittaler [7]3 years ago
6 0
5!x4!=2880     n<span>! is the factorial function</span>
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A football thrown by a quarterback follows a path given by hx=-0.0095x2+x+7, where h is the height of the ball in feet and x is
Wewaii [24]

Answer:

The ball can be knocked down at a horizontal distance of 3.09 feet or 102.17 feet from the marshal.

Step-by-step explanation:

We have the function that represents the height h (x) of the ball h(x) = -0.0095x^2 + x + 7

Where x is the horizontal distance of the ball.

We want to find the horizontal distance the ball is at (horizontal distance between the field marshal and the ball) when it is at a height of 10 feet.

To do this, we must do h (x) = 10

10 = -0.0095x^2 + x + 7\\0 = -0.0095x^2 + x -3

Now we must solve the second degree equation. For this we use the formula of the resolvent:

\frac{-b + \sqrt{b ^ 2 - 4 * a * c}}{2a}

       and

\frac{-b - \sqrt{b ^ 2 - 4 * a * c}}{2a}


\frac{-1 + \sqrt{1 ^ 2 - 4 * (- 0.0095)(-3)}} {2 (-0.0095)} = 3.09 ft

  and

\frac{-1 - \sqrt{1 ^ 2 - 4 * (- 0.0095)(-3)}} {2 (-0.0095)} = 102.17ft


Then, the ball can be knocked down at a horizontal distance of 3.09 feet or 102.17 feet from the marshal.

7 0
4 years ago
A flagpole casts a 32-foot shadow at the same time that Evan casts a 9-foot shadow. If Evan is 6 feet tall, how tall is the flag
Grace [21]

Answer:

48

Step-by-step explanation:

by dividing 9 by 6 you get 1.5 and by using distribution you also multiply 32 by 1.5 to get 48

3 0
3 years ago
Jo and David picked 92 quarts of berries at King's Orchard. If David picked 6 more quarts than Jo picked, how many quarts
marishachu [46]

Answer:

43 quarts of berries

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Manuela solved the equation below.<br><br><br><br> What is the solution to Manuela’s equation?
BabaBlast [244]

For this case we have the following equation:

2 (x + 2) = x-4

Applying distributive property to the terms within the parentheses on the left side of the equation we have:

2x + 4 = x-4

Subtracting "x" on both sides of the equation we have:

2x-x + 4 = -4\\x + 4 = -4

Subtracting 4 on both sides of the equation we have:

x = -4-4\\x = -8

Answer:

x = -8

6 0
4 years ago
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What is the degree of the polynomial?
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Ddddddddddddddddddddddddddddddddddddddd
7 0
3 years ago
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