The function h(t)=-16t^2+75t+80 models the height in feet, h, of a ball as it is thrown into the
air at time, t, in seconds. At which of the following times will the ball be 124 feet above the
ground?

Answers

Answer 1

Answer:

[tex]t = 4\\[/tex]

or

[tex]t=0.6875[/tex]

Step-by-step explanation:

[tex]124 = -16t^2+75t+80\\-16t^2+75t-44=0[/tex]

Solving for t using the quadratic formula we get:

[tex]t = 4\\[/tex]

or

[tex]t=0.6875[/tex]

Answer 2

The times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.

What is meaning of the term function?an expression, rule, or law defining a connection between one variable (a independent variable) and the other (the dependent variable). Functions are common in mathematics and are required for the formulation of actual relationships with in sciences.

The function given for the height of the ball thrown is;

h(t) = -16t^2+75t+80

In which, h is the  height in feet,

t, is the time till ball is in air( in seconds. )

When height h = 124 feet.

Time t = ?

Put h = 124 in the given equation.

124 =  -16t^2+75t+80

On solving.

-16t^2+75t-44 = 0.

16t^2 - 75t + 44 = 0.

Solve the quadratic equation by the quadratic formula,

t = 4 and t = 0.68 seconds.

Thus, the times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.

To know more about the function, here

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Related Questions

Thomas paid $4.25 for three apples and four oranges. Five apples and two oranges cost Casey $4.75. Let x represent the number of apples and y represent the number of oranges.

Which system of equations represents this situation?

A
$~3x+4y=4.75~$
$~5x+2y=4.25~$
B
3x+4y=4.25

5x+2y=4.75

C
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D
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2x+5y=4.75

Answers

B
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Answer: A

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Tabitha's grandmother lives 5 miles from Tabitha's house. How many kilometers does
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Ok, just do 1.61 times 5

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Answers

Answer:

sin x = 80/100

Step-by-step explanation:

sin = opp/hyp

sin x = 80/100

If Johnny borrowed $1,300 for 5 years on a 7% interest rate, how much interest will Johnny have to pay total?

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฿₹Ø: 1391 US$

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

Step-by-step explanation:

P = 4s

P = 26.4 x 4

P = (26 x 4) + (0.4 x 4)

P = 104 + 1.6

P = 105.6 ft^2

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Answer:

The answer is [tex]2\frac{1}{12}[/tex]

Step-by-step explanation:

Answer:

25/12

Step-by-step explaining.

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Select the correct answer from each drop-down menu.
The director of a community playhouse developed the function (1) = 40t to model the total revenue from ticket sales when t tickets are sold.
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C I just did the same answer

Answer:

dependent & changes by a constant rate

Step-by-step explanation:

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Answer:

7x^5

Step-by-step explanation:

just is

Answer:

The answer is -[tex]-7x^{2}[/tex]

Step-by-step explanation:

By finding alike terms and combing them, you can figure out that -[tex]-7x^{2}[/tex] is the correct answer.

Find the length of side x in simplest radical form with a rational denominator.
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X
45°
V2

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Answer:

Step-by-step explanation: 3√2

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Answer:

Tan(A) = [tex]\frac{8}{15}[/tex]

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One ticket will be drawn from a total of 200. If Maureen has 4 tickets what is the probability she will win?

Answers

Answer:

50

Step-by-step explanation:

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Solve 5x Divide 6 = 20.
The solution is x =____?

Answers

Answer:

69

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

[tex]\frac{5x}{6} = 20\\5x = 120\\x = 24[/tex]

need help ace plsss plssssssssssss

A -22
b 4.67
c 8.5. d 31 e 53​

Answers

Answer:

A. -22

hope this helps

have a good day :)

Step-by-step explanation:

2-(x+1)/(x-2)-(x-4)/(x+2)can be written as a single fraction in the form (ax+b)/(x^(2)-4) where a and b are intergers

Answers

Answer:

a = 3, b = -18

Step-by-step explanation:

You can start by getting a common denominator in the fractions [tex]\frac{x+1}{x-2}[/tex] and [tex]\frac{x-4}{x+2}[/tex]. You can multiply the first one by [tex]\frac{x+2}{x+2}[/tex] to get [tex]\frac{(x+2)(x+1)}{x^2-4}[/tex]and you can multiply the second by [tex]\frac{x-2}{x-2}[/tex] to get [tex]\frac{(x-4)(x-2)}{x^2-4}[/tex]. You can simplify the fractions:

[tex]\frac{(x+2)(x+1)}{x^2-4}[/tex] - [tex]\frac{x^2+3x+2}{x^4-4}[/tex]

[tex]\frac{(x-4)(x-2)}{x^2-4}[/tex] - [tex]\frac{x^2-6x+8}{x^2-4}[/tex]

Now we can rewrite the equation:

[tex]2-\frac{x^2+3x+2}{x^2-4} -\frac{x^2-6x+8}{x^2-4}[/tex]

and combine the terms with the same denominator:

[tex]2+\frac{-x^2-3x-2-x^2+6x-8}{x^2-4}[/tex]

[tex]2+\frac{-2x^2+3x-10}{x^2-4}[/tex]

Now, to add the two into the fraction, we multiply it by [tex]x^2-4[/tex] to get [tex]2x^2 - 8[/tex].

[tex]\frac{2x^2-8-2x^2+3x-10}{x^2-4}[/tex]

And simplify:

[tex]\frac{3x-18}{x^2-4}[/tex]

a = 3, b = -18

The value of the integers a and b are 3 and - 18 respectively.

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

Firstly , let's find out a common denominator in the fractions , [tex]\frac{x+1}{x-2}[/tex] and [tex]\frac{x-4}{x+2}[/tex] .

The first one can be written as :

= [tex]\frac{x+1}{x-2}[/tex] × [tex]\frac{x+2}{x+2}[/tex]

= [tex]\frac{(x+1)(x+2)}{x^{2} - 4}[/tex]

and the second one can be written as :

= [tex]\frac{x-4}{x+2}[/tex] × [tex]\frac{x-2}{x-2}[/tex]

= [tex]\frac{(x-4)(x-2)}{x^{2} - 4}[/tex]

The expression will be :

= 2 - [tex]\frac{x+1}{x-2}[/tex] - [tex]\frac{x-4}{x+2}[/tex]

= 2 - [tex]\frac{(x+1)(x+2)}{x^{2} - 4}[/tex] - [tex]\frac{(x-4)(x-2)}{x^{2} - 4}[/tex]

= [ 2 (x²- 4) - (x+1) (x+2) - (x-4) (x-2)]/ [(x²- 4)]

= [2x² - 8 - x² - 3x - 2 - x² + 6x - 8] / [(x²- 4)]

By simplifying it , we get :

= [tex]\frac{3x-18}{x^{2} - 4}[/tex]

If we compare it with the given form which is [tex]\frac{ax + b}{x^{2} -4}[/tex] we get :

[tex]\frac{3x-18}{x^{2} - 4}[/tex] = [tex]\frac{ax + b}{x^{2} -4}[/tex]

or

3x - 18 = ax + b

or

The values of a and b are :

a = 3 and b = -18.

Therefore , the value of the integers a and b are 3 and - 18 respectively.

Learn more about algebraic expressions here :

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Answers

Answer:

ur airpods are broken if the case and 1 ear aint working

Step-by-step explanation:

might wanna get a new one.

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Answers

Answer:

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Step-by-step explanation:

Cost of renting a bike at Oceanside Bike Rental Shop = 18 + 8x

Where,

x = number of hours for renting the bike

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50 - 18 = 18 + 8x - 18

32 = 8x

Divide both sides by 8

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4 = x

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Answers

Answer:

Triangles ABC and ADC are congruent because they all have the same angles. AC bisects angle A which means that both triangles have the same angle measurement. C is a 180 degree angle and is bisected, meaning that both angles created are 90 degree angles and thus the same degree measurement.

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yes it's all correct good luck

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Show steps

Answers

Answer:

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hope it helps...

Answer:

-2

Step-by-step explanation:

-6 ( x - 8) = 60

• divide -6 on both sides

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• your new equation is now x - 8 = -10

• add 8 to both sides x - 8 = -10

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first option: m= 532 - 57h

Step-by-step explanation:

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Answers

Answer:

B, rhombus and rectangle

Step-by-step explanation:

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Answers

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Answers

Answer:

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

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70148.06

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have a good day :)

Step-by-step explanation:

Answer:

10x90=900

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Answers

Answer:

1mm

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Answer:

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..

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Answer:

I believe it would be 8 days.

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