A ball is thrown straight up into the air from the top of a building standing at 50 feet with an initial velocity of 65 feet per second the height of the ball in feet can be modeled by the following function: h(t)=-16t^2++16t+96 When does the ball reach its maximum height?

Answers

Answer 1

Answer:

0.5 seconds (at 100 feet in the air).

Step-by-step explanation:

So, the height of the ball can be modeled by the function:

[tex]h(t)=-16t^2+16t+96[/tex]

Where h(t) represents the height in feet after t seconds.

And we want to find its maximum height.

Notice that our function is a quadratic.

Therefore, the maximum height will occur at the vertex of our function.

The vertex of a quadratic function in standard form is given by the formula:

[tex](-\frac{b}{2a}, f(-\frac{b}{2a}))[/tex]

In our function, a=-16; b=16; and c=96.

Find the x-coordinate of the vertex:

[tex]x=-\frac{(16)}{2(-16)}=1/2[/tex]

So, the ball reaches its maximum height after 0.5 seconds of its projection.

Notes:

To find it’s maximum height, we can substitute 1/2 for our function and evaluate. So:

[tex]h(1/2)=-16(1/2)^2+16(1/2)+96[/tex]

Evaluate:

[tex]h(1/2)=-4+8+96=100[/tex]

So, the ball reaches its maximum height of 100 feet 0.5 seconds after its projection.


Related Questions

The ratio of two computers is 3:2.

1.If the first computer costs 55000/=,what is the price of the second computer?

2.If the price of 2nd computer is 2000/= more,what is the ratio of. the computers?

Need it for test​......

Answers

Answer:

36666.66 units

Step-by-step explanation:

Let the cost of computer 1 is 3x and that of 2 is 2x.

Cost of first computer = 3x

55000 = 3x

x = 18333.33

Cost of second computer = 2x

= 2(18333.33)

= 36666.66

Henc, the cost of the second computer is 36666.66 units.

Can someone help me find x.

Answers

Answer:

Step-by-step explanation:

6x+9=63

6x=63-9

6x=54

x=54/6

x=9

I encourage you to figure out the justification yourself.

Kevin bought 5 tickets to a concert for $115. How much will it cost for 8 tickets to the concert if all tickets have the same unit price? Use the table below to help determine the missing value:

Answers

$184 for 8 tickets!

To find the unit price you divide 115/5 to get 23. $23 is the price of each ticket. You then times 23 by 8 to get $184.

Answer:

184$

Step-by-step explanation:

23$ per ticket

8 tickets = 184$

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Can someone please help me out

Answers

Answer:

1.5 lb/person

Step-by-step explanation:

All that is shown is a 12-lb turkey being used for 8 people.

Since you want the unit rate of pounds per person, divide the number of pounds by the number of people.

12 lb / 8 people = 1.5 lb/person

ANSWER QUICK PLEASE!!!! BRAIN LIST AND POINTS

Find the measure of x
Q
s
15(x+1)
150
T
Ox=1
Ox=9
-Ox=10
Ox=11

Answers

Answer:

x = 9

Step-by-step explanation:

The two angles are alternate exterior and has same measurement

15(x+1) = 150 divide both sides by 15

x + 1 = 10 subtract 1 from both sides

x = 9

|2| + |-13| =

BRAINLIST AND EXTRA POINTS

Answers

Answer:

15

Step-by-step explanation:

|2| + |-13| =

2+13

15

Answer:

I think I might be 15

Step-by-step explanation:

I looked it up on google

Cody plays an online game that allows users to trade points earned from the game for pieces of gold that could be used as currency to trade among players. The function P(g)=−50g+14,590 represents the number of points, P, Cody has after purchasing g pieces of gold. What does the y-intercept of P(g) represent for this situation?

Answers

Answer:

The y intercept is 1450

Step-by-step explanation:

Given

[tex]P(g) = -50g + 14590[/tex]

Required

Determine the y intercept

To answer this question, we need to understand the general form of a linear equation.

This is:

[tex]f(x) = mx + b[/tex]

Where b represents the y intercept

By comparing [tex]f(x) = mx + b[/tex] to [tex]P(g) = -50g + 14590[/tex], we have that:

[tex]b = 14590[/tex]

This implies that the y intercept is 1450

175+14.25x=200+11z solve the problem

Answers

Answer:

x = 7.69

Step-by-step explanation:

We need to solve the given problem. It is as follows :

175+14.25x=200+11x

Here, x is a variable. We can take on one side of an equation and constants to the other side such that,

14.25x-11x = 200-175

3.25x=25

x = 25/3.25

x = 7.69

Hence, the solution of the given equation is 7.69.

Coach DeCaro records the cross country runners' times compared to their personal best times.
Runner
Gregor
Hiroki
Isabelle
Juan
Karen
3K Times
Time compared to
personal best
+5.6
-11.6
+3.2
0
-5.2
Which runners ran slower than their personal best?
O Juan
O Gregor and Isabelle
Gregor, Isabelle, and Juan
O Hiroki and Karen

Answers

Answer:I think its C but Im not sure

Step-by-step explanation: SMILE MORE!!! :D

Answer: Option B

( ik it's late but i needed the points lol)

Step-by-step explanation:

I got it right on my unit test on edge2021

PLEASE HELP ASAP!! AND PLEASE SHOW ALL WORK THANK YOU!! 10x + 5 + 3x +1 =

Answers

Answer:

13x + 6

Step-by-step explanation:

10x + 3x + 5 + 1

13x + 5 + 1

13x + 6

You just combine like terms

Answer:

The answer is 53

Step-by-step explanation:

= 10x*5+3x*1

= 50x+3x*1

= 50x+3x

= 53x

question is in png pls some1 help !

Answers

Answer:

Triangle x = 30. Pentagon x = 50

Step-by-step explanation:

For the triangle,

Find the angle which is beside x in the triangle,

let's name that angle y, so 55 + 55 + y = 180 ( we find 55 by subtracting both angles 125 from 180)

110 + y = 180

Y = 180 - 110

y = 70

Now that we have find Y, we can easily find x by subtracting 70 from 180 which would be, 70 + X = 180

x = 180 - 70

x = 30

For the pentagon,

Again find the angle which is beside x in the pentagon,

let's name that y again, 90 + 120( by subtracting 60 from 180) + 110( by subtracting 70 from 180)  + 90 + y = 540

210 + 200 + y = 540

410 + y = 540

y = 540 - 410

y = 130

Now that we have find y, we can easily find x by subtracting 130 from 180 which would be, 130 + x = 180

x = 180 - 130

x = 50

Hope this helps!

The person above me is right, brainliest her/ or him

Which of these sets of measurements represents the lengths of the sides of a right triangle?

a. (10, 24, 26)

b. (5, 12, 24)

c. (12, 18, 30)

d. (1, 2, 9)

Answers

Answer: The answer is B, just had this answer today, teacher said it was correct.

There are 5 rows of chairs with c chair in each row. Choose the expression that shows the number of chairs in total

Answers

Answer:

5(c)

Step-by-step explanation:

The number of chairs are being multiplying by each row.

If you need more help here's info.

Long multiplication is a method of multiplying two numbers which are difficult to multiply easily.

For example, we can easily find the product of 55 × 20 by multiplying 55 by 2 and then adding a 0 at the rightmost place of the answer.

55 × 2 = 110 and 55 × 20 = 1100.

But, many a time finding the product is not this easy. At such times we use the long method of multiplication.

Steps to multiply using Long Multiplication

Multiplying 2-Digit by 2-Digit Numbers

Let us multiply 47 by 63 using the long multiplication method.

1. Write the two numbers one below the other as per the places of their digits. Write the bigger number on top and a multiplication sign on the left. Draw a line below the numbers.

5)c
Get it on Edge2020
Hope this help<3

there a 158 beats per minute in a certain taylor swift song. if the song is 3 minutes and 30 seconds long, how many total beats are there

Answers

Answer:

553 beats

Step-by-step explanation:

evaluate 5.6t for t = 0.7​

Answers

Answer:

3.92

Step-by-step explanation:

.7*5.6=3.92

hope that helps!

Can someone help me please

Answers

The correct answer is:

b. 2.8

Find the third side in simplest radical form:

Answers

Answer:

br515898 avatar

HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!! thx

Step-by-step explanation:

also this not mine O-O

Enter the desimal equivalent of 6
Plz hurry

Answers

Answer:

0.06*

Step-by-step explanation:

*Assuming you mean 6%

6 percent can be written as 6/100, or six hundredths.

In decimal form, six hundredths is .006.

HTH :)

what does SOH,CAH,TOA mean?​

Answers

Answer:

Use Sin if Opposite Hypotenuse, Use Cosine if Adjacent Hypotenuse, and Use Tangent if Opposite Adjacent

What is the equation of the line with a slope of 1/2 that passes through the point (-8, -2)?

Answers

Answer:

The answer is

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

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y + 2 = \frac{1}{2} (x + 8) \\ y + 2 = \frac{1}{2} x + 4 \\ y = \frac{1}{2} x + 4 - 2[/tex]

We have the final answer as

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

Hope this helps you

Question 12. How much more will her shirt cost in Union City than in River 10 points
City? A $0.01 B $0.05 C $0.10 D $25.80 *

Answers

Step-by-step explanation:

we need the whole question

Answer:

Need more explanation

Step-by-step explanation:

What is the equation in slope-intercept form for the line that passes through the points (−2, −1) and (1, 5)?
A. y = 2x − 3
B. y = 2x + 3
C. y = −2x − 3
D. y = −2x + 3

Answers

Answer:

y=2x+3

Step-by-step explanation:

we know the slope is 2

now we are going to find b

-1=2(-2)+b

-1=-4+b

-1+4=3

3=b

Answer this question correctly

Answers

Answer:

x = 3 - 3/2y

y = 2 - 2/3x

Step-by-step explanation:

2x + 3y = 6

2x = 6 - 3y

x = 3 - 3/2y

2x + 3y = 6

3y = 6 - 2x

y = 2 - 2/3x

Answer:

Slope=−1.333/2.000=−0.667

x−intercept=3

y-intercept=2

Step-by-step explanation:

HOPE THIS HELPS!!

see the image bellow please help 30 points

Answers

The answer is 173 cubic inches

An architect's scale drawing of a new school is 8,4 inches
long. The scale used in the drawing is 2 inches = 8 feet,
What is the actual length, in feet, of the school?

Answers

Answer:

Step-by-step explanation:

2=8 feet sooo

8/4=2 2x2=4 4x8= 32 4x4=16 sooo 32, 16 feet :) hope dis helps

5. Jessica rode her bike 3 miles on Thursday and 4 miles on Friday. On Saturday, she rode twice as many miles as she rode on the first two days. How many miles did Jessica ride her bike on Saturday?
A. 7 miles
B.9 miles
C. 14 miles
D.6 miles

Answers

Answer:

C : 14 miles

Step-by-step explanation:

3 + 4 =7

7 × 2 = 14

Answer:

c. 14 miles

Step-by-step explanation:

you add the 3 miles plus the 4 miles and multiply it by 2

3*4= 7 *2

Which of the following sets of side lengths would form a triangle? Check all that apply.

10, 9, 13
6, 13, 8
10, 19, 9
12, 10, 8
6, 4, 15

Answers

Answer:

Step-by-step explanation:

a, b, c

a + b > c

a + c > b

b + c > a

1). Yes, would form.  

2). Yes, would form.

3). No, would not form. 10 + 9 = 19

4). Yes, would form.

5). No, would not form. 6 + 4 < 15

A student wants to graph his earnings for each week during the next calendar year. He wants to see how his earnings change
from week to week as the year goes on. Which type of graph is the most appropriate?
line graph
O circle graph
box-and-whisker plot

Answers

Answer:

Step-by-step explanation:

Line graph

The line graph is the most appropriate.

What is graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

The relationships between two or more items are frequently represented by the points on a graph.

To monitor changes over both short and long time periods, line graphs are utilized. Line graphs perform better than bar graphs when there are smaller changes. Line graphs can be used to compare changes for multiple groups over the same time period.

Therefore, the line graph is the most appropriate.

To learn more about the line graph;

https://brainly.com/question/23680294

#SPJ5

find the two partial products in the multiplication problem.
230x33
Plz help me and take your time on this i'm in no rush <3

Answers

Answer:

690 and 6,900

Step-by-step explanation:

     230

x      33

______

     690

+   6,900

________

    7590

Help meeeeeee! If it’s correct you will get a something good!

Answers

Answer:

24/4=6

Step-by-step explanation:

In the model, there are 4 rows of 6 blocks. 24 total blocks divided by the 4 rows gives you six objects in each row.

HTH :)

Other Questions
1.(03.02 LC)Which of the following best defines weather? (3 points) 5y=35+10x in standard form Statistics Probability A survey of a freshmen English class asked students whether or not they ate breakfast the morning of the survey. The results are included in the table to the right. (a) What is the probability that a randomly selected student ate breakfast?(b) Of all students, what is the probability that a randomly selected student is female and ate breakfast?(c) What is the probability a randomly selected student is male, given that the student ate breakfast?(d) What is the probability that a randomly selected student ate breakfast, given that the student is male?(e) What is probability of "is male" or "did not eat breakfast"?(f) What is the probability of "is male and did not eat breakfast? help please due in 3 minutes Ying-Ying decides it is very important that she must tell Lena aboutwhich part of her life?How she had been married to another man 20 years before Lena was born and shewas shamed.How she had met Clifford St. Clair, Lena's father.How she was from one of the wealthiest families in Wushi.How she was a shopgirl in a clothing store. 5x + 3= 7x - 1. Find x Read the following passage: While traveling in France, we were happy to learn that there were multiple methods of transportation, such as buses and trains, which could take us to the remote castle outside the city that we were hoping to visit. Based on the clues, what is the most likely definition of the word transportationA. A translator to help vistors ask questions about the castle B. A system of moving people or things from one place to anotherC. tour guides to take visitors to landmarks outside the cityD. a map to show where the remote castles are located Tell me a sweet story please. I need a little encouragement rn. Pts ofc HELP PLEASE THIS IS DUE MONDAY! :(( GIVING 25 POINTS !!! how are frequency and were peroid related? What is nuclear fusion and what does it produce in a star? PLEASE HELP ME WOTH THIS QUESTION You are interested in determining if the average amount of time (in hours) that students spend on the Internet per day is greater than 2 hours. The data below are from a random sample of 11 students. 2.5 100 .5 1 1.5 3 3.5 4 3 4 2.5 What did you notice from your preliminary analysis of the data HELP FAST CORRECT ANSWERS ONLY 20 PTSDrag each label to the correct location.Match the given chemicals to their use. 5.Find the exact value of sin 267 cos 27COS 267 sin 27.sin 267 cos 27 cos 267 sin 27Enter your next step here THESE MEAN PEOPLE REALLY BE TROLLING WITH MY GRADES BRUHLET REALLY REPORT CARDS ARE TOMMROW I NEED HELPTEXT: Jamestown and its StrugglesAfter the Roanoke disaster, several Englishmen got a charter (certificate of permission) from their king to form a joint-stock company (a company funded by investors who share profits and losses) called the Virginia Company (named for the virgin queen of England). In 1607, the Virginia Company sent about 100 settlers to set up a colony in modern-day Virginia called Jamestown (named for King James I).Jamestown almost totally failed also, for several reasons. First, there was terrible conflict with the Native Americans In the first weeks: 200 natives attacked the settlers in the first weeks. Several Englishmen from Jamestown tried to make peace and earn the trust of the Natives by paying taxes of skins and food to their tribal leader, Powhatan. Still, Powhatan and his people didnt trust the English or their motives. Second, some of the British settlers in Jamestown thought they could get rich quickly without doing much hard work. Many had been born into wealthy families and had no experience of manual labor such as growing crops or building houses. Some spent their days looking for gold and ignored daily chores. This only began to change when one of their leaders, John Smith, told the settlers that he that will not work shall not eat. Third, Jamestowns location was near swamps and pools of standing water, which bred mosquitos that gave the settlers diseases like malaria, typhus, and dysentery. Finally, Jamestown did not have good leaders at first. The only strong leader they had was a soldier named John Smith, but he soon became injured and had to sail back to England. During the first years of the settlement, Jamestown colonists suffered from starvation and sickness. The period from October 1609 to March 1610 was known as the Starving Time. The settlement only survived because the Native Americans gave the English help in the form of food and water.Meanwhile back in England, writers were publishing advertisements calling Jamestown a paradise. 5,500 new settlers soon sailed over to Jamestown based on these promises. Instead they found a desperate life of starvation and 4000 of them quickly died. King James I of England decided it was time for the British government to take control of Jamestown. He canceled its charter and appointed a governor to rule it. Jamestown also formed a council of men to make laws, called the House of Burgesses. This was the first elected government in the British colonies.Tobacco Saves JamestownThe Virginia colony would have collapsed if it hadnt been for a single plant: tobacco. Tobacco was new to Europeans, and people in Europe quickly became addicted to smoking and chewing it, demanding more. The Jamestown planters shipped thousands of pounds of it each year. They made so much money from selling tobacco to England that they began cutting down forests to make bigger tobacco plantations. Thousands of English people came to work on the new plantations. Many of them were poor and worked as indentured servants. These were workers who had to work for their food and shelter for years before they could own land. They were not free until their years of contracted service had finished, which usually took 7 years. Many of them died before their term of service was up, and many who survived were not given the land they were promised.QUESTIONS:1. Give 4 reasons why Jamestown almost totally failed:a)b)c)d)2. What were the advertisements in England saying about Jamestown?3.What happened as a result of this?4. Give 2 reasons why the colony of Jamestown survived:a)b)5. What happened to most of the indentured servants? I WILL GIVE YOU A BRAINLIEST! Do you think most modern Americans would approve or disapprove of the twelve tables as a system of laws today? Why or Why not? A company rents bicycles to customers. The company charges an initial fee plus an hourly rate. This table shows the total cost to rent a bicycle for different amounts of time.What is the initial fee, in dollars, that the company charges to rent a bicycle? HELPPPPPP PLEASEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Ignore the nails on my computer LOL Socialists Party Ideas (choose 3)Lector inmersivo (1 Punto) private property is still allowed workers have power People own and control all businesses together through democratically elected agencies less extreme than communism