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Sholpan [36]
3 years ago
5

Ruby tosses a quarter off the main stree bridge into the St. John's River. The distance, in feet, the quarter is above the water

is modulated by the equation d(t)= -16t^2+96t+112, where t represents time in seconds.
Part A: From what height was the quarter tossed?
Part B: How long does it take the quarter to reach its maximum height?
Part C: What is the maximum height of the quarter?
Part D: How much time does it take for the quarter to hit the water?

Please show all work.
Any incorrect answers or incompleted work will we reported.
Mathematics
1 answer:
MatroZZZ [7]3 years ago
5 0

Step-by-step explanation:

d(t) = -16t² + 96t + 112

A) The quarter's initial height is at t = 0.

d(0) = -16(0)² + 96(0) + 112

d(0) = 112

The quarter is tossed from a height of 112 feet.

B) The maximum height is at the vertex of the parabola, which is at x = -b/(2a).

t = -(96) / (2 × -16)

t = 3

The quarter reaches its maximum height after 3 seconds.

C) d(3) = -16(3)² + 96(3) + 112

d(3) = 256

The quarter reaches a maximum height of 256 feet.

D) When the quarter lands in the water, d(t) = 0.

0 = -16t² + 96t + 112

0 = t² − 6t − 7

0 = (t + 1) (t − 7)

t = -1 or 7

Since t can't be negative, t = 7.  So the quarter lands in the water after 7 seconds.

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Serggg [28]

[Edit:}

Okay! So after you have 15+(21)÷3, you have to remember PEMDAS.

PEMDAS is the order in which you solve equations.

1. Parentheses: you solve everything in the parentheses first, all while following the rules of PEMDAS

2. Exponents: after you solve the things in the parentheses, you do the exponents.

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4. After, you do Addition or Subtraction, solving in the order from left to right.

So using PEMDAS, we'll solve 15+(21)÷3.

We do division before addition, so 21/3 is 7.

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Help please quickly!!!!!!1
IgorLugansk [536]

Answer:

9

Step-by-step explanation:

As per the problem, the given triangle is a right triangle. This is signified by the box around one of its angles, this box states that the angle it is surrounding is a right angle.

Since it is a right triangle, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that; (a^2 + b^2 = c^2), where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle. (c) is the hypotenuse or the side opposite the right angle.

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