A ball is shot from a cannon into the air. The equation that's gives the height (h) of the ball of any time (t) is: h(t)= -16t^2 + 40t + 1.5

Answers

Answer 1

Answer:

26.5 units

Step-by-step explanation:

The height of the ball at any time t is given by :

[tex]h(t)= -16t^2 + 40t + 1.5[/tex] ...(1)

We need to find the maximum height of the ball.

For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]

i.e.

[tex]\dfrac{d( -16t^2 + 40t + 1.5)}{dt}=0\\\\-32t+40=0\\\\t=\dfrac{40}{32}\\\\t=1.25\ s[/tex]

Put t = 1.25 in equation (1) to find the maximum height.

So,

[tex]h(t)= -16(1.25)^2 + 40(1.25) + 1.5\\\\=26.5\ units[/tex]

So, the maximum height reached by the ball is 26.5 units.


Related Questions

Which one is greater 0.8 or 0.777?

Answers

Answer:

Step-by-step explanation: 0.8

What’s the answer??????

Answers

Answer: -50

Step-by-step explanation: (5-10) then multiply the answer by 10

Find the coordinates of the midpoint of AB.'
4. A(7,-4), B (5,2)
5. A(-3, -2), B (9,6)

Answers

Answer:

4. (6,-1) 5. (3,2)

Step-by-step explanation:

riddle: there are 10 copy cats in a window how much are left. Cation this is math!!!

Answers

Answer:

20 cats

Step-by-step explanation:

ez lol

Answer:

i dont know 10

Step-by-step explanation:

Miguel is reading a 338-page book. In the first 40 minutes he spends reading, he reads 52 pages. If he continues reading at the same rate, how many minutes will it take him to read the entire book?

Answers

Answer: 260 minutes.

Step-by-step explanation:

This represents the ratio between the minutes he reads and the pages he reads: 40 : 52

The book Miguel is reading is 338 pages long. Miguel also reads 52 pages in 40 minutes. You can divide 338 by 52, which is equal to 6.5.

If it takes Miguel 40 minutes to read 52 pages, then we can multiply that by 6.5. 40 x 6.5 = 260.

In conclusion, it will take Miguel 260 minutes to read the entire book, or 4 hours and 20 minutes.

Answer:

260 minutes

Step-by-step explanation:

40:52

x:338

338*40=52x

13,520/52

260:338

o curso de inglês de Carolina teve duração de 4 semestres e 2 meses . quantos tempo durou esse curso de Carolina ?

a 26 meses
b: 24 meses
c : 22 meses
d: 20 meses​

Answers

Answer:

a 26 meses gracias por los puntos

Simplify: (4 – 5) – (13 – 18 + 2).

Answers

Answer:

2

Step-by-step explanation:

(4 - 5) - (13 - 18 + 2)

According to PEMDAS, we should simplify the parentheses first.

= (-1) - (-3)

When you subtract a negative number, you are actually adding.

= -1 + 3

Now, add.

= 2

Hope this helps!

Pls help
My teacher rlly tried to make it fun like girl nah it’s still hella boring

Answers

Your saying you want all 5 of these questions answered?

What is the equation of the horizontal line passing through (3, 8)?

Answers

Answer:

Y= -5

Step-by-step explanation:

If y always equals -5 then the x value will change but the y value will not. This means that the slope of the line is zero and will be parallel to the x axis, which is the horizontal line.

mmmmmm u should help -9/14+ 2/7

Answers

Answer:

0.9285714285714 is the answer.....

please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

#1 i know for a fact ur not going to pay us

#2 theres no picture

#3 Sorry :(

Elimination equations
9x - 4y = 19
4x+4y=20

Answers

13x = 39
X = 3
Sub back in,
12 + 4y = 20
Y = 2
Hope this helps and please mark me as brainliest, I’m trying to level up

The solution to the system of equations 9x - 4y = 19 and 4x + 4y = 20

is x = 3 and y = 2.

What are linear and non-linear functions?

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x - 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear.

Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Given, Two linear equations in two variables 'x' and 'y',

9x - 4y = 19 and 4x + 4y = 20.

Now, Adding these two equations we have,

13x = 39.

x = 3 and hence y = 2.

learn more about linear equations here :

https://brainly.com/question/11897796

#SPJ2

hii pls help me if u can tysm

Answers

Answer:

she hit the flo'

next thing yk

shawdy got

low

low

low

low

low

low

low

Step-by-step explanation:

Hello, if you know the answer, please explain how you got the answer to this

Answers

Answer:

b

Step-by-step explanation:

because the bottom part of the triangle shrunk by 4

Hello, It’s B yea a I belive it’s B

Can somebody plz help answer these questions correclty (Like what the letters equal) thanks :D

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD

Answers

Answers:
20: 24
21: 21
22: 20
23: 12
24: 8

Why?
24/4=6
31/7= 3
20/5= 4
12/6=2
8/4= 2

Hope this helps :D

Answer:

20. multiply both sides by 4, x= 24

21. multiply both sides by 7, y=21

22.multiply both sides by 5, z=20

23. multiply both sides by 6, p=12

24. multiply both sides by 2, r=8

Step-by-step explanation:

you want to get the variable alone (x,p,y, etc).

so if you are dividing the variable by a number you want to take the denomentator and multiply it by itself and then you have to multiply the same number to the number on the other side of the equation.

What is 15/20 closest to 0,1/2 or 1

Answers

Answer:

0.07 (7/100) is closer to 0.

1.150 (1150/1000) is closer to 1.

0.391 (391/1000) is closer to 1/2.

0.0999 (999/10,000) is closer to 0.

0.99 (99/100) is closer to 1.

0.599 (599/1000) is closer to 1/2.

Put everything as a fraction. The first spot after the decimal means you put the number over 10, the second place means you put it over 100, the third 1,000, fourth 10,000 and so on. Hope I helped! ^^Step-by-step explanation:

The closeness of the given function is found to be by writing it in the simplest form as 1.

What is a fraction?

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.

The number a is called as the numerator and b is the denominator.

The given fraction is 15/20.

It can be simplified as below,

Divide numerator and denominator by the common factor 5 as,

(15 ÷ 5)/(20 ÷ 5)

⇒ 3/4

The given fraction 3/4 is greater than zero and closest to 1.

Hence, the given fraction is closest to integer 1.

To know more about fraction click on,

https://brainly.com/question/10354322

#SPJ2

Which set of ordered pairs represents a function
1) {(0,4)(2,4)(2,5)}
2){(6,0)(5,0)(4,0)}
3){(4,1)(6,2)(6,3)(5,0)}
4){(0,4)(1,4)(0,5)(1,5)}

And the other one I put a picture of but I don’t know if it worked lol

Answers

Question 2 is B and question 3 is “3”.

In both examples, the “x’s” are never repeated!! Each x is unique. As soon as you have two x values with DIFFERENT y values, it is no longer a function

Multiply (3x + 2) (4x-5)

Answers

Answer:

12x^2-7x-10

Step-by-step explanation:

I did binomial into binomial method

3x(4x-5)+2(4x-5)

12x^2-15x+8x-10

12x^2+(-15+8)x-10

12x^2-7x-10

The answer is 12x^2-7x-10

Andy is buying a car
he negotiated a 7% decrease on a £6 500 car
he will pay the full balance in 12 equal month payments
calculate the amount paid each month

Answers

Answer:

£503.75 per month

Step-by-step explanation:

7% decrease on a £6,500 car

= 7% of 6,500

= 7/100 * 6,500

= 0.07 * 6500

= £455

Amount of the car = £6,500 - £455

= £6,045

he will pay the full balance in 12 equal month payments

Amount paid each month = £6,045/12 months

= £503.75 per month

Answer:

7% decrease on a £6,500 car

= 7% of 6,500

= 7/100 * 6,500

= 0.07 * 6500

= £455

Amount of the car = £6,500 - £455

= £6,045

he will pay the full balance in 12 equal month payments

Amount paid each month = £6,045/12 months

= £503.75 per month

Step-by-step explanation:

True or not? Id say it is...lm.ao

Answers

Answer:

true

Step-by-step explanation:

Answer:

Very good art and I think true

Step-by-step explanation:

pls help (ZOOM IN TO SEE FULL PIC)

Answers

Answer: 15

Step-by-step explanation:

Lets name the missing point as "x"

8^2 + x^2 = 17^2

=> 64 + x^2 = 289

=> x^2 = 289 - 64

=> x^2 = 225

=> x = 15

using the parent function f(x) = 2^x, write the new function, g(x), that transforms f(x) by shifting 6 units up

Answers

Answer:

g(x) = 2^x + 6

Step-by-step explanation:

Parent function:

f(x) = 2^x

Translation 6 units up:

g(x) = f(x) + 6

or

g(x) = 2^x + 6


Simplify:
3 (2x - 4)

Answers

Answer:

Step-by-step explanation:

Diane left her house and traveled at a constant rate of 55 miles per hour for 4 hours. How far did she travel?

Answers

Answer:

220 miles

Step-by-step explanation:

55 x 4 = 220 miles

Answer:220

Step-by-step explanation:

55×4=20

Which equation represents the situation:

A 20 year old is the same height as a 30 year

A. f(20) = 30
B. f(30) = 20
C. f(30) = f(20)
D. f(20) > f(30)
E. f)20) < f(30)

PLS I NEED HELPP

Answers

Answer:

the answer of this question is C. f(30) = f(20)

I’d say that A is correct-if I’m incorrect, I’m truly sorry, that’s just what I’ve interpreted from this question.

Is the relationship between the number of tickets sold and the number of hours proportional? If so, how many tickets were sold in 8 hours?

Answers

Answer:

Answer: Yes, the amount of money is proportional to the number of hours worked because there is a number.

Step-by-step explanation:

I need the answer to this plzzzz

Answers

Gianna worked for 5 hours
Matthew work for 6 hours

Evaluate 2x when X4

what’s the answer for this?

Answers

If x is equal to 4 then you have to substitute the x in the 2x.

So it would look like this:

2(4)

Multiply them 2x4 which would give you 8. So the answer is 8.
8. Sub the 4 for the x. The solve!

Miles eats 72 Spicy Wings in June. He then eats 504 Spicy Wings in October! What is the percentage increase of the wings he has consumed between June and October?

Answers

Answer:

700%

Step-by-step explanation:

504/72 = 7

7 * 100 = 700

lemont has 30 books to pack the boxes each box holds 7 books if he fills each box how many boxes are left over

Answers

Answer:

2 books

Step-by-step explanation:

If 7 books= 1 box

Then 30 books= 30÷7= 4 boxes with a remainder of 2 books

Therefore books left over= 2 books

Other Questions
Rewrite 48+40 using the distributive property with the greatest common factor located in front of the parentheses Find thecommon factors of 5xy and - 3x Oxygen gas, generated by the reaction 2KClO3 (s) 2KCl(s) 3O2 (g) is collected over water at 27C in a 1.35-L vessel at a total pressure of 1.00 atm. (The vapor pressure of H2O at 27C is 26.0 torr.) How many moles of KClO3 were consumed in the reaction? A pie crust recipe calls for 2 cups of butter for each 3 cups of flour. Elliette is making enough crust to use up 8 cups of flour. How many cups of butter will she need? CAN SOMEONE PLEASE CHECK MY ANSWER!!!!! Read the map. A map titled Mongol Empire, 1279 C E. Most of modern day Mongolia, parts of Russia, all of China, Tibet, the Korean Peninsula, most of Asia, and into Europe are shaded. Which statement best describes the reach of Genghis Khan's Mongol Empire at its peak? It included all of Asia, as well as all of Europe. It covered all of West, Central, and Southeast Asia. It extended from East Asia to the Black Sea in Eastern Europe. It stretched from the Pacific Ocean to west of the Mediterranean Sea. Bank ABC offers a savings account at 3.25%. Bank XYZ offers a savings account at 3.49%. With which bank, will your savings account earn more money: Bank ABC or Bank XYZ? Evaluate m + 7.5 when m = 8.6 HELP ME ASAP!!! CAN GIVE BRAINLIST:) Jesse measured his height to be 67 inches. His actual height is 68.5 inches. What is the percent error for Jesses measurem Use the exchange rate 1 = 1.13 to convert 339 into . which line is perpendicular to the line y=2x+3 Is three fourths more than three eights the tropical climate has long summer and short___ Lillian and Isabella went shopping for school supplies. Lillian found her favorite notebook on sale so she bought three of the exact same notebook. Isabella also wanted a notebook. She bought one of the same notebooks that Lillian bought. Both girls started shopping with the same amount of money. If Lillian spent all of her money and Isabella had $5 left, how much money did each girl have when she arrived at the store? please show your work/steps brainliest for right answers please helpRead the summary paragraph for the article on service and answer the question that follows: Service improves society, impacting the helpers as well as those needing assistance. It means being an active participant in one's community, taking action where it can be of benefit. Every person should make it a priority to serve at least two hours per week. It's an extremely important civic responsibility that is invaluable to citizens most in need. Service creates improved communities where people care about each other.Which of the following makes a true statement about good summaries? answer choicesGood summaries include the writer's opinion on the article.Good summaries focus on the support details from the body.Good summaries provide all the data an author uses for support.Good summaries objectively restate the thesis and crucial details. What is the value of the constant in the equation that relates the height andwidth of this rectangle? This logo bby im sorry huhu What is the solution set for 4x 10 2?A x 3B x 3C x 2D x 2helppppppppppppppppppppp The nucleotide base sequence of a strand of DNA is TAC-CGG-AGT. Whais the sequence of the complementary DNA strand?