Hello! Please answer this question with all of the info it is asked for. Please be sure to include all of your work and share any of your thoughts you had when solving. Please do not answer unless you know the answer. Thanks! Good Luck!

A golf ball is launched straight up into the air from the ground with an initial velocity of 160 ft/s. The function that models the ball's height is: h(t) = -16t^2 + 160t.

a) Find how long it takes for the golf ball to reached its maximum height.

b) Determine how long the golf ball is in the air before it hits the ground.

c) Determine the maximum height that the golf ball reaches.

Answers

Answer 1

Answer:

a) 5 secb) 10 secc) 400 m

Step-by-step explanation:

Given is the quadratic function:

h(t) = -16t^2 + 160t

This gets maximum value at vertex, which is achieved at:

x = -b/2a, of y = ax^2 + bx + c

In our case:

t = -160/2(-16) = 5 seconds

Maximum height is at vertex:

h(5) = -16*5^2 + 160*5 = 400 m

Time the ball hits the ground, h(t) = 0:

-16t^2 + 160t = 0t^2 - 10t = 0t(t - 10) = 0t = 0 seconds is the starting pointt = 10 seconds is when the ball hits the ground

Related Questions

What is 1/2 divided by 2/3? In fraticons.

Answers

1/2 divided by 2/3 = 3/4

Ms. Trowbridge will receive a 40% discount off her first cell phone bill. Her monthly cell phone plan charges a flat monthly fee of $25.00 plus $0.20 per minute. If Ms. Trowbridge talks on her cell phone for 300 minutes during the first month of cell phone service, what will be the amount of her first cell phone bill?
1: 34.00$
2:36.00$
3:45.00$
4: 51.00$

Answers

Answer:

3

Step-by-step explanation:

djifididusueieieiwuwu

The first cell phone bill of Ms. Trowbridge after 40% discount is $51.

What will be the amount of her first cell phone bill?

Given information:

The discount on first cell phone bill = 40%

The flat charges on bill = $25

The charge per minute = $0.20

Since $0.20 is charged per minutes, the amount charged for 300 minutes will be :

300 x 0.20 = $60

Her monthly cell phone plan charges a flat monthly fee of $25.00.

the total amount charged will be;

$60 + $25 = $85

There is a 40% discount , then we have 40% of $85

= $34

So, the amount of her first cell phone bill ,

= $85 - $34

= $51.00

Hence, the first cell phone bill of Ms. Trowbridge after 40% discount is $51.

For more information visit:

brainly.com/question/2736271

#SPJ6

please help me please

Answers

First find slope
(2-4)/(8-3) = -2/5
Y = -2/5x + b
Plug in a point
4 = -2/5(3) + b
4 = -6/5 + b, b = 5.2
Solution: y = -2/5x + 5.2

Show that the function of f(x) = a - x is its own inverse for all real numbers a

Answers

f(x) = a - x

y = a - x

y + x = a - x + x

y + x = a

y + x - y = a - y

x = a - y

f-¹(x) = a - x

The inverse of a function is the opposite of the function.

See below for the proof of: [tex]\mathbf{f(x) = f^{-1}(x)}[/tex]

The function is given as:

[tex]\mathbf{f(x) = a - x}[/tex]

Rewrite as:

[tex]\mathbf{y = a - x}[/tex]

Swap x and y

[tex]\mathbf{x = a - y}[/tex]

Make y the subject

[tex]\mathbf{y = a - x}[/tex]

Rewrite as:

[tex]\mathbf{f^{-1}(x) = a - x}[/tex]

Hence:

[tex]\mathbf{f(x) = f^{-1}(x) = a - x}[/tex]

Read more about inverse functions at:

https://brainly.com/question/10300045

A shopkeeper fixed the marked price of his radio to make a profit of 30 percentage. allowing rs 30 as a discount then the profit is rs 30. find the cost price​

Answers

Answer = 100 Rs

Explanation:

Given, the profit is 30% and the amount of profit is 30 Rs.

So, we can say that 30% = 30Rs

1% = 30/30

100% = 30(100)/30

100% = 100

The Cost Price is 100 Rs

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PLEASE RESPOND with an EXPLANATION!

Answers

Answer: 22

Step-by-step explanation:

Answer:

the answer is 22

Step-by-step explanation:

you have the -22 ferinhiet and then you add 44 and you have positive 22and you get the 44 from the negative because you atuomatically add the oppisite of -22 and you get positive 22 and -22 + 44 = 22 :)

!!!!!!! PLEASE PLEASE, HELP ME. i SERIOUSLY CANT FAIL THIS. I NEED HELP SO BAD. IM REALLY STUCK PLEASE.!!!


A boat’s velocity, measured in meters per second, is described by vector = 〈3,4〉. In two or more complete sentences explain how to find the speed of the boat and the direction it is traveling in standard position. In your final answer, include all of your calculations.

Answers

Answer:

Plot the point, and draw a right triangle from that point and the x-axis.

The hypotenuse is the speed.  Use  A^2 + B^2 = C^2 to calculate it.

Imagine a compass on your graph.  Straight up along the y-axis is North.  The angle clockwise from there to the hypotenuse is the compass direction of travel.  Use tan(3/4) to get the angle from the x-axis, then add 90 since it's in quadrant 4. (compass directions are never negative)

i hope that helpsss :)

good luck on everything <3

Please help please GCF FACTOR HELP MATH

Answers

Answer:

7x^2y^3z^5(x^2y^5 + 2z^6)

Step-by-step explanation:

7x^4 y^8 z^5 + 14x^2 y^3 z^11

try to get the smallest of each number and variable outside if that makes any sense

14 can go into 7 two times so take out 7 and multiply it by the whole thing

7(x^4 y^8 z^5 + 2x^2 y^3 z^11)

then x y and z

7x^2y^3z^5(x^2y^5 + 2z^6)

sorry its kinda hard to see exponents in this form hopefully this helps

Help! And explain why!

Answers

Answer:

Side, angle, side, because it shows 2 different equal sides of the 2 triangles, and it also shows one equal angle.

SAS ?????????????????

Select all that justify the following statement.

10 + x • 12 = 12x + 10

commutative - addition
identity - addition
associative - multiplication
commutative - multiplication
symmetric
associative - addition
distributive

Answers

Answer:

A

Step-by-step explanation:

Sally has x colored markers. Her teacher has 96 colored markers, which is 4 times as many as Sally has. The equation below can be used to find the number of colored markers Sally has.


4x = 96

John has 14 more colored markers than Sally. How many colored markers does John have?


A. 14
B. 38
C. 110
D. 336

(Pls help me with this, I picked D for this one...

Answers

Answer:

Step-by-step explanation:

Sally has 24 markers. 96 divided by 4 = 24

John = Sally +14

X= 24 +14

John has 38 markers.

I do believe the answer is B

unit meaure of ice cream?

Answers

Answer:

what the question

Step-by-step explanation:

where your question?

What are ways that people can stand up for something without bringing violence into it?

Answers

Some ways a person can stand up for something without creating violence is by  creating a blog post on social media, attaching propaganda to bulletin boards outside, starting a go fund me, and lastly they can try to get in connect with someone famous or with a huge following to speak out and agree with the person. And since that celebrity has such a huge fan base their ideas and thoughts will be heard and payed attention to. These are a few ways people can stand up for something without it generating violence.

What savagemrfox said ☝︎︎

Determine the area of the rectangle with perimeter 82 inches and maximum area.​

Answers

Answer:

Area = 420.25 in²

Step-by-step explanation:

A rectangle is a quadrilateral (has four sides and four angles) with two pairs of opposite and parallel sides. All angles in a rectangle are 90 degrees each. Also, opposite sides are equal.

Let x represent the length of the rectangle and y represent the width of the rectangle. Hence:

Perimeter = 2(length + width)

82 = 2(x + y)

x + y = 41

x = 41 - y

The area of the rectangle (A) = length * width

A = xy

substitute x = 41 - y:

A = (41 - y)y

A = 41y - y²

The maximum area occurs at A' (dA / dy) = 0. Hence:

A' = 41 - 2y

0 = 41 - 2y

2y = 41

y = 20.5 inches

substitute y = 20.5 inches in x = 41 - y:

x = 41 - y = 41 - 20 .5

x = 20.5 inches

The area = xy = 20.5 in * 20.5 in

Area = 420.25 in²

Answer:

420.25 in²

Step-by-step explanation:

A sphere has a radius of 5.3 centimeters. Which measurement is closest to the volume of the ball in cubic centimeters? ​

Answers

Answer:

623.61 cm³

Step-by-step explanation:

Given:

Radius of sphere (r) = 5.3 cm

Required:

Closest volume of the ball

SOLUTION:

Volume of a sphere = ⁴/3πr³

Radius (r) = 5.3 cm

Plug in the value of r

Volume = ⁴/3*π*5.3³

Volume = ⁴/3*π*148.877

Volume = 623.61 cm³

623.61 cm³ is closest to the volume of the ball.

at a pumpkin patch celeste bought a pumpkin that weighed 5,585 grams how many kilograms did the pumpkin weigh

Answers

Answer:

5.58

Step-by-step explanation:

Finish solving the system of equations. x - 5y = 6 -x + 2y = -3 -3y = 3 What is the value of y? Substitute the value of y back into one of the original equations to find the value of x. What is the value of x?​

Answers

Answer:

y = -1, x = 1

Step-by-step explanation:

-3y = 3

y = 3/-3

y = -1

-x + 2y = -3

-x + 2(-1) = -3

-x - 2 = -3

-x = -1

x = 1

Answer: The answer is -1 and 1.

Step-by-step explanation: I got this correct on Edge, Hope this helps!

whoever answers this gets brainliest and thanks and 5 start rating: w = 7-√g

Answers

Answer:

Hi! The correct answer is g=w^2-14w+49!

Step-by-step explanation:

. log 3x4
Expand each expression

Answers

Answer:

12

Step-by-step explanation:

because 3x4 is 12

Use synthetic substitution to find f (-5) for f (x) = x^3– 5x +2.

Answers

Answer:

_5*_5*_5=_125

_5(_5)=25

25+2=27

_125+27=_98

pls help :( GIVING BRAINLIEST!

Answers

No this one is actually an easier one because the bottom row stops following a pattern but the top one keeps on the pattern so the answer is no

Answer:

D

Step-by-step explanation:

12 ÷ 3 = 4

24 ÷ 6 = 4

45 ÷ 9 = 5

60 ÷ 12 = 5

These don't match

1+5/4n+3/2p-3-1/2p+3/4n

Answers

Answer:

The simplified expression of your question is

11n/2-p/2-2

Debbie invested money in an account which pays 5% annual interest. After one year she had earned $102 interest. How much money did she invest

Answers

Step-by-step explanation:

A = P(1 + r)^t

(P + $102) = P[1 + (0.05)]^(1)

P + $102 = 1.05P

0.05P = $102

P = $2,040.

Hence Debbie invested $2,040.

a package of 8 rechargeable batteries cost 12. at the rate how much would 20 rechargeable batteries would cost

Answers

Step-by-step explanation:

8 battery =12

20 battery =?(x)

8x=240

x=240÷8

x=30

for 20 battery..it would cost 30

8. Describe how to turn 20 feet to centimeters. (feet to inches then to centimeters)

Answers

Answer:

Step-by-step explanation:

you can divide 20 by 12 to get inches then divide that by 2.54 and you get how many centimeters

You can divide the number to its feet and the inches

6(2w+5) +9 (w+2) What is the answer? I really need help, thanks.​

Answers

Answer:

3(7w+16)

Step-by-step explanation:

hope this helps!

Which of the following is NOT a factor of 45?
3
9
15
7

Answers

Answer:

7

Step-by-step explanation:

These are the factors of 45 (1, 45), (3, 15) and (5, 9).

Answer:  7 is not a factor of 45

Step-by-step explanation:

find the distance between the pionts(-5,1) and (4,1)

Answers

Y2-Y1
X2-X1

1-1
4+5

slope=0/9

Explanation:

The formula for calculating the distance between two points is: d = √ ( x 2 − x 1 ) 2 + ( y 2 -y 1 ) 2  Substituting the points from the problem gives: d = √ ( 0 − 5 ) 2 + ( 4 − 1 ) 2   d = √ ( − 5 ) 2 + ( 3 ) 2 d = √ 25 9 d = √ 34 Or d =3 5.8 rounded to the nearest hundredth.

Solution for the inequality: 12x-3x +11 > 4x - (17-9x)

Answers

Answer:

x<7

Step-by-step explanation:

12x-3x +11 > 4x - (17-9x)    combine like terms

9x+11>4x - (17-9x)              simplify

9x+11> 13x -17                    move like terms, then combine

-4x>-28                              divide to isolate the variable

x<7

Step-by-step explanation:

12x-3x +11 > 4x - (17-9x)

9x+11 > 4x-17+9x

9x+11 > 13x-17

9x-13x > - 17 - 11

- 4x > - 28

x < 7

or

x ∈ 《- ∞ , 7 》

What is the solution to this inequality x-7>8

Answers

Answer:

Choice a: [tex]x>5[/tex]

Step-by-step explanation:

All you have to do on this one is add the 7 on both sides.

[tex]x-7>8\\x>5[/tex]

So the answer is anything greater than 5.

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