A ball is dropped from a 75 foot tall tower, and the height of the ball (in feet) can be represented by the equation h = —16t^2 + 75 where t is time (in seconds). Determine the amount of time it will take for the ball to hit the ground. Round your answer to the nearest hundredth of second. (Show Work)

Answers

Answer 1

Answer:

The ball will take approximately 2.165 seconds.

Step-by-step explanation:

The height of the ball is represented by the function [tex]h(t) = -16\cdot t^{2}+75[/tex], the time taken by the ball to hit the ground is a value of [tex]t[/tex] such that [tex]h(t) = 0[/tex], we proceed to solve the following equation for [tex]t[/tex]:

[tex]-16\cdot t^{2}+75 = 0[/tex] (1)

[tex]16\cdot t^{2} = 75[/tex]

[tex]t = \sqrt{\frac{75}{16} }[/tex]

[tex]t \approx 2.165\,s[/tex]

The ball will take approximately 2.165 seconds.


Related Questions

Which statements are true about the x-intercepts of quadratic functions?
All quadratic functions have exactly one x-intercept.
An x-intercept is located at the point on the function where the value of x is 0.
A quadratic function can have up to two x-intercepts.
An x-intercept of a quadratic function is also called a zero of the function.
If x = 0 is an x-intercept of a quadratic function, then (x + a) is a factor of the function.

Answers

Answer:

Step-by-step explanation:

The following statements are true:

1.  A quadratic function can have up to two x-intercepts.

2.  An x-intercept of a quadratic function is also called a zero of the function


A ship is 130 m away from the centre of a barrier that measures /
180 m from end to end. What is the minimum angle that the
boat must be turned to avoid hitting the barrier?

Answers

Answer:

Step-by-step explanation:

50 meters away

The half-life of a radioactive substance is 15 years. Determine algebraically, to the nearest year, how long it will take for 1/10 of this substance to remain.

Answers

1.5 years should be that answer I hope this helps

Consider function g.
g(x) = 5/x - 1 + 2

What is the average rate of change of function g over the interval [-4, 3]?

A. 1/2
B. -1/2
C. -7/2
D. 2

Answers

Answer:

Step-by-step explanation: The answer is 1/2. This is on the Odyssey online Algebra 2 mastery test.

The average rate of change of function g over the interval [-4, 3] will be;

⇒ 1/2

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The function g is,

⇒ g (x) = 5 / (x - 1) + 2

And, The interval is,

⇒ [ - 4, 3 ]

Now,

We know that;

The average rate of change of function at interval [a, b] is,

⇒ f (b) - f (a) / (b - a)

So, The average rate of change of function g over the interval [-4, 3] is,

⇒ g (3) - g (- 4) / (3 - (- 4))

Here, The function g is,

⇒ g (x) = 5 / (x - 1) + 2

Put x = 3;

⇒ g (3) = 5 / (3 - 1) + 2

           = 5/2 + 2

           = 4.5

Put x = - 4;

⇒ g (-4) = 5 / (- 4 - 1) + 2

            = 5 / - 5 + 2

            = - 1 + 2

            = 1

So, WE get;

The average rate of change = (4.5 - 1) / 7

                                           = 3.5 / 7

                                           = 1/2

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

Can anyone help me please
I’ll mark you as a brainliest.
NO LINKS

Answers

Answer is 1.538
Using (x1,y1)(x2,y2)
x1=0
Y1=2
X2=5.2
Y2=10

Please answer this quick

Answers

I'm sorry but i can't really see the picture

Answer:

1/4

Step-by-step explanation:

Confused!! The picture below shows the question.

Answers

Answer:

25

Step-by-step explanation:

Use the greatest common factor and the distributive property to write equivalent expressions in factored form.

13ab + 15ab =​

Answers

Answer:

ab(28) or 28ab

Step-by-step explanation:

13ab + 15ab = 28ab

Answer:

ab(28) or 28ab

Step-by-step explanation:

What is the area of the triangle?
5
3
units?

Answers

the answer to the question is 7.5

Anton leaves a cup of hot chocolate on the counter in his kitchen. Which graph is the best representation of the change in temperature of his hot chocolate over time?

Answers

Answer:

Step-by-step explanation:

May I please see the graph?

Alfonso scored 18 points during his last basketball game,which was 40% of the points the entire team.
the entire team score________points.​

Answers

Answer:

45 points

Step-by-step explanation:

40/100=18/x    equation

100×18=1800     multiply

1800÷40=45     divide

x=45 points

Answer:

48 points

Step-by-step explanation:

I took the test

A and b are positive integers and a-b=2. Evaluate the following:
27^1/3b/9^1/2a

thank you very much

Answers

Answer:

Answer: 1/9

Step-by-step explanation:

(27^1/3 = 3

9^1/2 = 3

3^b

====

3^a

3^(b - a)

3^-2 = 1/9

1/9

Find the area of a square if its side length is 3/7 units

NO LINKS PLEASE

Answers

Answer:

A=a2

Step-by-step explanation:

Please look at the picture I have been stuck on this question and I would really appreciate it if you can help me thank you

Answers

Answer:

52 feet

Step-by-step explanation:

distance is 6 from the question

6 = 5/6 √h

6/5 (6) = √h

36/5 = √h

7.2 = √h

7.2x7.2 = h

h = 51.84

this is Apx huh?

ASAP PLEASE HELP!!!! WRITE AN EXPRESSION

Answers

Answer:

10c + 5b + 420 + 4c

Step-by-step explanation: 10 dollars for each child, 5 dollars per a pair of rubber boots, party room is 420 and 4 is per each child's pizza

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

Answers

Answer: Strange? Formulas of spheres dont have height. So with height is 1607,68 and without the height its 268.08

Step-by-step explanation:

301,71 cm ^3

hope this helps have a good day or night

Please help me with this.

Answers

C,2 I agree with what the other comment said!!

what is the input of arccos

Answers

Answer:

It returns the angle whose cosine is a given number.

Step-by-step explanation:

For every trigonometry function, there is an inverse function that works in reverse. These inverse functions have the same name but with 'arc' in front. (On some calculators the arccos button may be labeled arccos, or sometimes cos-1.) So the inverse of cos is arccos etc. When we see "arccos x", we understand it as "the angle whose cosine is x"

cos30 = 0.866 Means: The cosine of 30 degrees is 0.866

arccos 0.866 = 30 Means: The angle whose cosine is 0.866 is 30 degrees.

Use arccos when you know the cosine of an angle and want to know the actual angle.

A toy company uses the box shown below to package wooden cubes. Each wooden cube has a volume of 1 8cubic foot. In total, how many wooden cubes will fit in the box.

Answers

Answer:

240 cubes

Step-by-step explanation:

A toy company uses the Box shown below to package wooden cubes each wooden Cube has a volume of 1/8 cubic feet in total how many wooden cubes will fit in the Box

Volume of the box = length × width × height

= 5 ft × 3 ft × 2 ft

= 30 ft³

Volume of wooden cube = 1/8 ft³

how many wooden cubes will fit in the box.

Number of wooden cubes that will fit in the box = volume of the box ÷ volume of the wooden cube

= 30 ft³ ÷ 1/8 ft³

= 30 × 8/1

= 240 cubes

Number of wooden cubes that will fit in the box = 240 cubes

Find the volume of the cylinder.

Answers

Answer:

[tex]1205.8 \: {in}^{3} [/tex]

Step-by-step explanation:

For given cylinder:

Radius (r) = 4 in

Height (h) = 24 in

[tex]V_{cylinder} =\pi {r}^{2} h \\ \\ = 3.14(4)^{2} (24) \\ \\ = 1,205.76 \\ \\ \approx 1205.8 \: {in}^{3} [/tex]

Can you guys help me find the missing parts where the letters are

Answers

Answer:

I’m going in the order form up to down

1) Total cost is $15.60 (you multiply the unit rate by the quantity to find the total cost)

2) Unit rate is $13.20 (You divide the total by the quantity to find the unit rate)

3) Quantity is 6 (You divide the total by the unit rate to find the amount of things or quantity)

4) 12 percent tax rate (We can make an eqaution to find out how much you multiply thr total to find the tax rate by doing 82.5x=9.9. THe result would be 0.12 or 12 percent)

yeah what that other person said

help me please I need helpp

Answers

Answer:

172.8 = 32 x 5.40

Step-by-step explanation:

whats the solutions to these using substitution method pls show ur work

Answers

These are the answers

6. Mrs. Sam buys pencils for $15 per one hundred packs.
a. If she sells them to her students for 10 cents each, what is her profit/loss?
b. If she sells them to her students for 25 cents each, what is her profit/loss?
c. What price should she sell them at to not make or lose any money?

Answers

Answer:

a.) her loss is 5 dollars

b.) her profit is 10 dollars

c.) she should sell them for $0.15

Hi! Please help on this question (you have to use the Pythagorean theorem method) and explain the steps *giving brainliest*

Answers

the answer is 10 because you can add 10 to 60 to make 70 and the other side would be 70 so 30+30+70+70=200

the correct answer is A
hope it helps

Leo's bank balances at the end of months 1, 2, and 3 are $1,500.00, $1,530.00, and $1,560.60, respectively. The balances form a geometric sequence. What will Leo's balance be after 9 months?​

Answers

After 9months it will cost $1770

I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

It is correct!!

Step-by-step explanation:

A rectangle swimming pool is measured up to 15 meters long and 7 1 fourth meters wide what is the area of this swiming pool

Answers

Answer:

108.75 m^2

Step-by-step explanation:

Area of a rectangle = length x breadth

15 x 7 1/4

15 x 29 / 4 = 108.75 m^2 or 108 3/4 m^2

Included picture
Question is not hard so please answer correctly

Answers

It can sometimes be rational

What is the volume of the composite figure?

Answers

Answer:

It's 372 in³

Step-by-step explanation:

A rectangular prism's volume is l x w x h right? So there are 2 rectangular prisms. So just add the volume of 2 rectangular prisms (12 x 4 x 4 + 12 x 3 x 5 = 372 in³

Other Questions
answer 5a please :) What is the main purpose of a cover letter?To introduce yourself and summarize your background, qualifications, and interest in a job.To set up an interview and give employers your contact information.To introduce yourself and explain your start date and planned vacation for the year.To set up dates and times for interviews or introduction calls with the employer. How can a kid make 100 dollars fast? How many meters per second are in 37 miles per hour? Round to onedecimal. What were the most important reasons why WW1 began check all that apply? What's your measurement instrument? How did perfection of the compass affect China?There is more than one correct answer Select all that applyO The compass allowed for the discovery of AfricaThe compass allowed for more reliable overland travel.The compass allowed for the discovery of Australia.The compass allowed for more reliable overseas travel. bringing together our issues of critical thinking and social psychology, can you discuss how a resistance to change ones views (and thus fail to think critically) can increase the likelihood that people will be aggressive against those who have done nothing wrong (milgram study)? conform to a group, even when the group is wrong (asch)? or engage in prejudice or cruelty when they have every reason to know their behavior is wrong? Which of the following is false about the central limit theorem (CLT)? O If we take more samples from the original population, the sampling distribution is more likely to be nearly normal. O If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. O As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution. O The CLT states that the sampling distribution will be centered at the true population parameter. Some microwaves operate using 1100 W of electrical power. If the current in the outlet is 20 A, what voltage is needed? When Carlos, an engineer, attended a meeting of physicians, he could barely understand them because of their specialized ____ Nicholas has 5 1/2 cups of flour. One recipe for a cake he is making calls for 3 3/4 cups of flour. He also needs 8 cups of flour for a cookie recipe. How much more flour will nicholas need to make the cake and cookies? which of the following is not a characteristic evaluated in ratio analysis? a.liquidity b.marketability c.profitability d.solvency Uli Adventures provides tours of scenic locations in Oregon. The company expects tours taken to increase dramatically compared with the prior year. For the past year, 2017, the number of tours given were as follows: First quarter 8,000 Second quarter 10,000 Third quarter 10,000 Fourth quarter 11,000 Assume that sales for each quarter in 2018 will be 30 percent higher than in 2017 and that the price per tour is $79. Prepare a sales budget by quarter for 2018. Enter your answers as amounts only with neither commas nor decimals. Third Quarter Second Quarter $ Fourth Quarter $ First Quarter Budgeted $ sales dollars $ Would it be better if one new language replaced HTML, CSS, and JavaScript? Why or why not? Risk factors for AMI that cannot be controlled include:a. family history.b. excess stress.c. hyperglycemia.d. lack of exercise. Match the following graph with the name of the graph What are the 20 examples of compound words? Answers to management questions are provided by:a. data scientistb. The Board of Directorsc. Informationd. Data What are the three main stages of the policy making process quizlet?