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PIT_PIT [208]
4 years ago
14

When Hope kicked the soccer ball, it traveled a horizontal distance of 85 feet, and at its highest reached 30 feet what steps do

i take to form an equation
Mathematics
1 answer:
marissa [1.9K]4 years ago
5 0

Answer:

h = -0.0166t^2 + 30.

Step-by-step explanation:

The graph of the flight is a parabola which opens down and is symmetrical about the y axis, passes through the x axis at -42.5 and 42.5 and has a vertex at (0, 30).

So we have -a(t^2) + 30 = 0   where t is the time

(42.5)^2 * -a  = -30                (42.5 as its 1/2 * 85).

a = 30/2806.25

= 0.01661

So the equation is height h = -0.0166t^2 + 30

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If f(x) = (1/8)(8^x), what is f(3)?
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Answer and work down below. Let me know if you have any questions

6 0
3 years ago
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The temperature at noon was -17 degrees at 6 pm the temperature was -14 degrees. What was the change in temperature degrees?
irina [24]

Answer: the change in tempature was -3 degrees

Step-by-step explanation: hope this helps

5 0
3 years ago
The original purchase price of a car is $25,000. Each year, its value
White raven [17]
<h3>Answer:</h3>

$16,462.58 (rounded from $16462.575)

<h3>Explanation:</h3>

By subtracting 13%, you leave 87%, because 100-13=87.

So, the expression we need to simplify is 25000 * 0.87^3, because you need to multiply 25000 by 87% three times.

  1. Find the exponent with a calculator. 25000 * 0.658503
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  3. Round your answer to the nearest cent. 16462.58
7 0
4 years ago
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In the game of roulette, a wheel consists of 32 slots numbered 00, 0, 1, 2, . . . , 30. To play the game, a metal ball is spun a
Zarrin [17]

Answer:

(a) The sample space is {00, 0, 1, 2, . . . , 30}.

(b) If the wheel is spun 1,000 times, it is expected about 31 of those times to result in the ball landing in slot 3.

(c) If the wheel is spun 100 times, it is expected about 47 of those times to result in the ball landing in an odd number.

Step-by-step explanation:

We are given that in the game of roulette, a wheel consists of 32 slots numbered 00, 0, 1, 2, . . . , 30.

To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots.

(a) The sample space is {00, 0, 1, 2, . . . , 30} which means the metal ball can land on any of these numbers.

(b) As we know that there is an equal probability of the metal ball landing on any of the slots marked in the sample space.

Total number of slots = 32

Number of slots marked with 3 = 1

So, the probability that the metal ball falls into the slot marked 3 is given by =  \frac{1}{32}  = 0.031 or 3.1%

This means that if the wheel is spun 100 times, it is expected about 3.1 of those times to result in the ball landing in slot 3.

So, if the wheel is spun 1,000 times, it is expected about 31 of those times to result in the ball landing in slot 3 because (0.031 \times 1000) = 31.

(c) As we know that the odd slot in the given sample space is {1, 3, 5,......, 29}.

Total number of slots = 32

Number of odd slots = 15

So, the probability that the metal ball lands in an odd slot is given by =  \frac{15}{32}  = 0.47 or 47%.

This means that if the wheel is spun 100 times, it is expected about 47 of those times to result in the ball landing in an odd number.

6 0
3 years ago
7) At what interest rate would a deposit of $50,000 grow to $111,277 in 25 years with continuous compounding?
Crank
C) 1.2%
Hope this helped !!
3 0
3 years ago
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