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3 years ago

The equation h=-16t^2 , HELP! ID APPRECIATE IT!

Mathematics

1 answer:

nikdorinn [45]3 years ago

6 0

Answer:

37.52 feet

Step-by-step explanation:

Given in the question the equation

h = -16t² + 47t + 3

where h is height in feet

t is time in minutes

a = -16

b = 47

c = 3

To find the maximum height of the football

If a, the coefficient of the x² term, is positive, then the parabola opens upward. If a is negative, then the parabola opens downward. In this case it is -16 which is negative so it open downward.
The value of -b/2a tells you the x value of the vertex of the curve at which it is maximum
Plug this value in the equation to find h, maximum height.

t = -b / 2a

= -47 / 2(-16)

= 1.47 sec

h = -16(1.47)² + 47(1.47) + 3

= 37.52 feet

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Find the value of x.

nikklg [1K]

Answer:

x = 13

Step-by-step explanation:

Sum or interior angles of a triangle is 180,

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6x + 5x + 3x + 19 - 15 - 6 = 180

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x = 182 / 14

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5 0

3 years ago

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3 years ago

Which of these systems of equations shows the solution for the graph?

I am Lyosha [343]

Answer:

Step-by-step explanation:

Note that one of the lines is simply y=-1 for any x, so we can dismiss the only answer without y=-1. That rejected answer is A)

Now let's notice, that the other line is decreasing y when increasing x. That tells us that in the equation y = ax + b, a has to be negative. This brings us to reject option D).

What is the y of that line for x = 0? Because y = ax + b, for x = 0 we will get the value of b. This is called the intercept. The line is at y=4 for x=0, so we know that the b in the equation must be positive 4. This fits answer C, but rejects answer B). And so, we have found that C) is the only possible answer.

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3 years ago

A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. If 20000 tickets are sold at 2

Shalnov [3]

Answer:

The expected winnings for a person buying 1 ticket is -0.2.

Step-by-step explanation:

Given : A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. If 20000 tickets are sold at 25 cents each, find the expected winnings for a person buying 1 ticket.

To find : What are the expected winnings?

Solution :

There are one first prize, 2 second prize and 20 third prizes.

Probability of getting first prize is $\frac{1}{20000}$