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A football is kicked straight up into the air from 3 feet above the ground with an initial velocity of 208 ft/s. The function that models the ball's height is: h(t) = -16t^2 + 208t + 3.
a) Find how long it takes for the football to reach its maximum height.

b) Determine how long the football was in the air (approximately). Why might this not quite be accurate?

c) Determine the maximum height of the football.

Answers

Answer 1

Answer:

a) 6.5 secondsb) 13 secondsc) 679 ft

Step-by-step explanation:

Given function:

h(t) = -16t^2 + 208t + 3

a) Maximum height is the vertex. The ball reaches the maximum after:

h = -208/2(-16) = 6.5 seconds

b) Time the ball was in the air:

-16t^2 + 208t + 3 = 0

Solving we get approximately t = 13 seconds

c) Maximum height is at vertex, we found t above:

h(6.5) = -16(6.5)^2 + 208*6.5 + 3 = 679 ft

Related Questions

A bag has 5 balls: 1 red (R), 1 green (G), 1 yellow (Y), 1 blue (B), and 1 orange
(0)
You randomly choose a ball. What is the sample space?
OA. (RG, Y, B, O)
OB. (R,G, Y, B, P)
Oc. (G, )
OD. (R, G, Y, B)

Answers

Answer: R,G,Y,B,O  

Step-by-step explanation: Sample space is just any and all possible outcomes

The sample space of the given experiment is (R,G, Y, B, O). So option A is the correct one.

What is a Sample Space?

A sample space is a set of all the possible outcomes in a random experiment. It is usually denoted by the letter, S.

The subset of the sample space are events.

Given experiment is that you randomly choose a ball from a bag which consists of 5 balls.

Balls are 1 red (R), 1 green (G), 1 yellow (Y), 1 blue (B), and 1 orange (O).

Each ball is of different color.

When you randomly choose a ball, the chosen ball can be any of the colors given.

So sample space = (R,G, Y, B, O)

Hence the required sample space is (R,G, Y, B, O).

Learn more about Sample Space here :

https://brainly.com/question/30206035

#SPJ7

the average motorcycle weighs 32,000 grams. How many kilograms does the average motorcycle weigh?

Answers

Answer:

The average motorcycle would weigh 32 kilograms.

Step-by-step explanation:

1 kilogram = 1000 grams

so, to find how many kilograms a motorcycle is, we just need to divide the amount of grams by 1000

32,000 / 1000 = 32 kg

Steven earns extra money babysitting. He charges $37.00 for 4 hours and $55.50 for 6 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.

Answers

37+4x=55.50+6x....zzz

Answer:

Step-by-step explanation:

3.2

find the value of r so that the line through (8 r) and (4 5) has a slope of -4

Answers

Answer:

r = -11

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1) = slope

(5-r)/(4-8) = -4

(5-r)/ -4 = -4

5-r = 16

-r = 11

r = -11

im not sure but i beleive this is how you do it.

you find the agreegable slope, and then multiply it by the y value.

hope this helps! :)

Can someone help me?

Answers

Answer:

Step-by-step explanation:

Because these two triangles are isoceles triangles, two angles are the same, which in this case would be 78. 78 times 2 would give us 156 for the right triangle, but since 180 - 156 does not equal 16, they are not similar nor congruent.

Fractions closer to 1 than to 0

Answers

Answer:

Fractions that are above 1/2 or 0.5

Step-by-step explanation:

A new factory is growing fast and hiring a lot of new workers. Every week, the total number of workers doubles in size. If it takes 18 weeks for the factory to be at full capacity, how many weeks would it take for the factory to be at half capacity?

Answers

Answer:

9 weeks

Step-by-step explanation:

divide the full capacity by 2 to get 9 because 9 x 2 is 18 and half of the full capacity would be half capacity

Hiroshi found that 3/5 of his class prefers vanilla ice cream, 26% prefers chocolate ice cream, and 0.14 prefers strawberry ice cream. Put the numbers in order from least to greatest. Which kind of ice cream do the least number of students prefer?

help asappp!!!

Answers

Answer:

The kind of ice cream the least number of students prefer is Strawberry ice cream.

Step-by-step explanation:

We convert all given values to decimal

Hiroshi found that:

a) For vanilla ice cream

3/5 of his class prefers vanilla ice cream

3/5 to decimal = 0.6

b) For Chocolate ice cream

26% prefers chocolate ice cream

26% to decimal = 0.26

c) For strawberry ice cream

0.14 prefers strawberry ice cream

0.14 = 0.14

Arranging the numbers in order from least to greatest, we have :

0.14, 0.26 , 0.6

The kind of ice cream the least number of students prefer is Strawberry ice cream.

If x + y = –10 and x - y = 2, what is the value of x?

Answers

Answer:

y -10

x graph

Step-by-step explanation:

The diameter of a circle is 9 feet. Find the radius.

Answers

Answer:

4.5

Step-by-step explanation:

Diameter is equal to 2r. In other words, to find radius from the diameter, you divide the diameter by two. In this case, its 9/2. That gives you 4.5

Answer:

4 1/2 feet

Step-by-step explanation:

The radius fo the circle is half of the diameter so 4 1/2 Feet.

plz help me with this math problem

Answers

Answer:

[tex]a = 9in[/tex]

Step-by-step explanation:

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

[tex]a = \sqrt{ {10.6}^{2} - {5.6}^{2} } [/tex]

[tex]a = \sqrt{112.36 - 31.36} [/tex]

[tex]a = \sqrt{81} [/tex]

[tex]a = 9in[/tex]

please help as fast as possible

Answers

Answer:

D

Step-by-step explanation:

You can divide each side length by two to get D

Answer:

The answer is D

Step-by-step explanation:

9. The side of a rectangle was 56 feet long. It is now 8 feet long. What was the scale factor was
used?
8 ft
56 ft

Answers

Answer:

56ft

Step-by-step explanation:

because 还是故事还是vs酒吧睡觉把书本上

PLease do all this i will give brainiest

Answers

Answer:

The cost of 10 pens is $2.25.

You would have 30 hard boiled eggs.

You will need 18 hard boil eggs for 54 scrambled.

Step-by-step explanation:

A state Motor Vehicle Department requires learners to pass a written test on the motor vehicle laws of the state. The exam consists of twenty true-or-false questions, of which eighteen must be answered correctly to qualify for a permit. In how many different ways can a learner who answers all the questions on the exam qualify for a permit

Answers

Answer:

211 ways

Step-by-step explanation:

Given :

Number of questions = 20

Number of correct correct questions to be answered in other to qualify should be atleast 18

Hence,

Correct questions could be either 18, 19 or 20 ;

Using combination :

nCr = n! ÷ (n-r)!r!

20C18 = 20! / (20 - 18)!18!

20C18 = (20* 19) / (2 * 1) = 190 ways

20C19 = 20! / (20-19)!19!

20C19 = 20 / 1 = 20 ways

20C20 = 20! / 0! 20! = 1 ways

Hence, total number of possible ways = (190 + 20 + 1) = 211 ways

3x+1=6x-4 solve for x

Answers

Answer:

x = 5/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

3x + 1 = 6x - 4

Step 2: Solve for x

Subtract 3x on both sides:                    1 = 3x - 4Add 4 to both sides:                              5 = 3xDivide 3 on both sides:                          5/3 = xRewrite:                                                   x = 5/3

Answer:

Exact form

x=5/3

Decimal form

x=1.6

Mixed number form

x= 1 2/3

Step-by-step explanation:

creating a diagram so far this session a team has won 51 out of 68 games identify the value of a b c and d that complete the bar diagram for the situation​

Answers

Answer:

a = 25  

b =  100

c =  17

d =  68

Step-by-step explanation:


what is the slope of the line?^

Answers

Answer:

(1/0) infinite slope if it is going wrong sorry

Find the shaded area
Help please

Answers

Answer:

Area= 49[tex]\pi[/tex] or 153.94 or 147 (Since Pi= 3)

Circumference= 14[tex]\pi[/tex] or 43.98 or 42 (Since Pi= 3)

Step-by-step explanation:

[tex]A=\pi rx^{2}[/tex]

[tex]C=2\pi r[/tex]

Find the value of x if A, B, and C are collinear points and B is between A and C. AB=6x,BC=x−5,AC=23

Answers

Answer:

The value of x = 4 if A, B, and C are collinear points and B is between A and C.

Step-by-step explanation:

We need to find  the value of x if A, B, and C are collinear points and B is between A and C.

We have AB=6x,BC=x−5,AC=23

If points are collinear and B is between A and C we can write:

AC=AB+BC

Putting values and finding value of x

[tex]AC = AB+BC\\23=6x+x-5\\23=7x-5\\7x=23+5\\7x=28\\x=\frac{28}{7}\\x=4[/tex]

The value of x = 4 if A, B, and C are collinear points and B is between A and C.

Answer plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Step-by-step explanation:

10+60t≤280

60t≤280-10

60t≤270

6t≤27

2t≤9

t≤9/2

t≤4.5

t=4 hours

first subtract $10 from$280 and you get $270

270 divided by 60 = 4.5

so the answer is four and a half hours

What is the answer to 7(5-8x) > 147

Answers

Answer: x < -2

Step-by-step explanation:

Solve the systems of equations 9x+5y=41 and x+y=9 by combining the equations

Answers

Step-by-step explanation:

multiplying the 2nd eqn by 9 we get,

9x+9y=81

then,subtracting 1st and 2nd eqn

9x+5y=41

9x+9y=81

- - -

__________

0. -4y=-40

we get y = 10

then we get x=9-y

x=9-10

x= -1

so x is -1 and y is 10

What is the slope of the line through
(-9, 6) and (-6, -9)? Show your work.


Answers

Answer:

-5

Step-by-step explanation:

The diameter of a circle is 8 cm. Find its circumference in terms of pi

Answers

Answer:

25.13 or 8 × pi

Step-by-step explanation:

diameter × pi = circumference

Answer:

Step-by-step explanation:

formula for circumference of a circle=

C=2πr, r= radius

the radius is the diameter divided by 2

radius= 8/2=4

plug into formula

C=2π4

multiply 2 and 4

C=8π

Factor using the magic X method:

x^2 + 6x + 5

SHOW WORK!!!

Answers

find values that add to 5 and multiply to 6
so the answer would be (x+5)(x+1)

find the perimeter of the square on the centimeter grid​

Answers

16 ... i hope its right

if x is the first of two consecutive integers, express the sum of the two integers in terms of x

Answers

Answer:

2x+1

Step-by-step explanation:

x = 1st integer

x+1 = next consecutive integer

The sum is

x+ (x+1)

Combine like terms

2x+1

let the first integer be x and the second be x + 2

then the sum is x +x+2 = 2x +2

A sporting goods store sells 7 cans of tennis balls for every 3 tennis rackets. How many cans of tennis balls would be sold if 63 tennis rackets were sold?

need asap

Answers

Answer:

7×63=441

Step-by-step explanation:

441 cans of tennis

1 and -1 is nonlinear or linear

Answers

Answer:

liner

Step-by-step explanation:

they look like a line on a graph

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