A ball is thrown into the air with an upward velocity of 40 ft/s. Its height h in feet after t seconds is given by the function \large h=-16t^2+40t. What is the ball's maximum height?

Answers

Answer 1

Answer:

[tex]h=25[/tex]

Step-by-step explanation:

From the question we are told that:

Velocity [tex]v=40fts[/tex]

The height h function

 [tex]\large h=-16t^2+40t[/tex]

Generally time t is mathematically given by

 [tex]h'=-32t+40[/tex]

 [tex]-32t+40=0[/tex]

 [tex]t=\frac{40}{32}[/tex]

 [tex]t=1.25[/tex]

Therefore  the ball's maximum height is given as

  [tex]\large h=-16(1.25)^2+40(1.25)[/tex]

 [tex]\large h=-16(1.25)^2+40(1.25)[/tex]

 [tex]h=25[/tex]


Related Questions

I don't understand this problem

Answers

Answer:

45%

Step-by-step explanation:

Step-by-step explanation:

It's asking you what the probablitiy of a red car is.

Since this looks like a test/homework, I'll give some hints.

Let's say that SUV's and car's are x.

Out of x, 60 percent is cars.

Let's call the amount of cars we have y.

Out of y amount car's, 15 percent is red.

It's asking that if you randomely chose a car, what the probability would be if you got a non-red car.

Of course, this problem only needs one variable, but for the sake of simplicity, I added 2.

Hope this helps!

Mindy is the head cheerleader on her suad. She is making banners to place throughout the school for the first football game of the season. She used ⅔ cup of glitter to make 1 cup of glittery paint. Using this same proportion, how many cups of glitter will Mindy use to make 9 cups of glittery paint?

Answers

Answer:

[tex]6\:\text{cups}[/tex]

Step-by-step explanation:

Since the proportion is maintained, we can set up the following proportion:

[tex]\frac{2/3}{1}=\frac{x}{9}[/tex], where [tex]x[/tex] is the amount of glitter, in cups, Mindy will use to make 9 cups of glittery paint.

Cross-multiply to get:

[tex]1x=9\cdot \frac{2}{3},\\x=9\cdot \frac{2}{3}=\boxed{6\:\text{cups}}[/tex]

17, 24, 31, 38, ... common diffrence Arithmetic Sequences

Answers

Ans: 10+7n

Step-by-step explanation: there you go

Answer:

d=7; equation=17+(n-1)7

Step-by-step explanation:

I dont know what your question is but it goes up by 7

please answer as soon as possible !!!

Answers

Answer:

hey I will answer.

Step-by-step explanation:

translation: 1 unit right and 2 units down ... U (-3,-4), M(-1,-1), L(-2,-5) ... R(-4, -3), D(-4,0), L( 0,0), F(0, -3) ... 7) translation: 2 units left and 1 unit down ... D(-4,1), A(-2,5), s-1, 4), N-1, 2).

Plz help geometry will mark brainliest!!

Answers

Answer:

x = 20

Step-by-step explanation:

The angle of c is 46°
It doesn’t say to find m it says to find the angle c
The m in front of the notation refers to the “measure of angle” labeled C
Hence the answer is 46°

Kelly drove 385 miles to visit her friend. She drove at an average rate of 55 miles per hour.
How long did it take her to drive to her friend's house?
A: 5 hours
B: 7 hours
C: 9 hours
D: 11 hours

Answers

Answer:

B. 7 hours

Step-by-step explanation:

The formula for time (in this scenario) is t = d/s.

t - time

d - distance

s - speed

For this problem, d - 385 mi and s - 55 mph. To find the time this trip took, you would solve 385/55=7. In the end, Kelly drove for 7 hrs. Hope this helps!!

PLS HELP I BEG YOUU!!!

Answers

Answer:

Step-by-step explanation:

the balloon starts at  (10, 0 )

it ends at  16,0)

in the middle it's at between 10 and 16 , so say about 13, where it reaches 27

so in the middle it's (13,27)

so  ( 11, 9)

(12, 18)

got 13

(14, 18)

(15, 9)

got 16

:P

How can you tell if these are greatest common factor or difference of squares questions?

Answers

Answer:

When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

To factor a difference of squares, the following steps are undertaken: Check if the terms have the greatest common factor (GCF) and factor it out. Remember to include the GCF in your final answer. Determine the numbers that will produce the same results and apply the formula: a2– b2 = (a + b) (a – b) or (a – b) (a + b)

slope (7,-4) and (7,-1)

Answers

Answer:

undefined

Step-by-step explanation:

line is straight up and down

Answer:

Undefined. It ends up being 3/0 which can't happen so it remains undefined.

Step-by-step explanation:

At what rate percent will the interest on Rs. 6300 in 10 years be equal to its principal?​

Answers

Answer:

the answer is 10÷6300×100=0,16%

A shipping container is in the shape of a right rectangular prism with a length of 7.5
feet, a width of 1.5 feet, and a height of 6.5 feet. The container is completely filled
with contents that weigh, on average, 0.34 pound per cubic foot. What is the weight
of the contents in the container, to the nearest pound?

Answers

Answer:

3

Step-by-step explanation:

because two plus two

Find the volume use pi as part of the equation round to nearest hundred

Answers

Answer:

V = 340.339

Step-by-step explanation:

V = [tex]\frac{\pi r^{2} h }{3}[/tex]

V = [tex]\pi[/tex][tex](5)^{2}[/tex] [tex]\frac{13}{3}[/tex] = 25[tex]\pi[/tex] [tex]\frac{13}{3}[/tex]  = about 340.3392 = 340.339

Answer:

340.17 ft.

Step-by-step explanation:

Using the formula, πr²h ÷ 3 (3.14 × radius × radius × height ÷ 3), we can plug-in the unknown values.

'r' means radius; 'h' means height; 'π' means pi.

The radius is 5; the height is 13.

πr²h (3.14 × radius × radius × height ÷ 3) - π5² × 13 = 340.166666667 (3.14 × 5 × 5 × 13 ÷ 3 = 340.166666667)

340.166666667 ≈ 340.17

Therefore, the area of this circular cone is 340.17 ft.

Lucy places five cards that are labeled 1 to 6 face down on the table and mixes them up.
What is the likelihood that her friend Harry will draw an even numbered card?

Answers

The answer for this one will be D-
as likely as not

can you please solve this, the picture is in here

Answers

Answer:

no

Step-by-step explanation:

plz plz answer this 10pts:)

Answers

Answer:

8

Step-by-step explanation:

12-4=8

Answer:

12-4=8

8 more students

hope this helps

have a good day :)

Step-by-step explanation:

Help me please and explain for me

Answers

Answer:

1.575 × 10^6 gallons

Step-by-step explanation:

1.25 × 10^6 = 1.25 × 1,000,000 = 1,250,000 gals.

Dolphin tank = 325,000 gals.

total vol. = 1,250,000 + 325,000 = 1,575,000 gals.

scientific notation = 1.575 × 10^6 gallons

what's the answer ?

[tex] \sqrt{25 \times 9} [/tex]

Answers

Answer:

[tex] \sqrt{25 \times 9} [/tex]

[tex] \sqrt{5² \times 3²} [/tex]

±(5*3)

±15 is a required answer.

The parent teacher association is raising money for a new swing set. They need $682.56 to purchase the swing set and receive a $200.00 donation. The remaining amount will be equally divided among 8 different student groups to raise. How much money will each student group need to raise in order to purchase the swing set?

Answers

Answer:

Each student will raise $60.32

Step-by-step explanation:

682.56-200.000 = 482.56

482.56/8 = $60.32

Please help me I’m stuck

Answers

Answer:

x = 3.2

Step-by-step explanation:

Apply pythagorean theorem, c² = a² + b²

Where,

c is the hypotenuse/longest side = √(10² - 9²) ≈ 4.4

a = x

b = 3

Substitute

4.4² = x² + 3²

19.36 = x² + 9

x² = 19.36 - 9

x² = 10.36

x = √10.36

x = 3.2 (nearest tenth)

find the remainder when x⁴+x³-2x²+x+1 divided by x+1​

Answers

Answer:

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

Step-by-step explanation:

[tex]x^3-2x+3-\frac{2}{x+1}[/tex]

also if ur brainly staff and seeing this

plz remove/delete my account asap tysm

Solve the proportion.

Answers

Answer:

y = 5

Step-by-step explanation:

cross-multiply:

6y = 30

y = 5

Can anyone answer ASAP

Answers

The answer is 1,705 miles, and 31 MPG

plz this is due today

Answers

Answer:

F

Step-by-step explanation:

3.5*3=10.5

An 8-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side of the house when the angle of elevation of the ladder is 75 7 Round your answer to the nearest tenth.​

Answers

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

the side "?" is the Adjacent side (Adj)  and we are given the angle and the Hypontenuse ( long side) (Hyp)  of this triangle

so use CAH

cos(75) =  Adj / 8

algebra to solve for the Adj side (which is the "?" for this problem )

8*cos(75) = Adj

2.07055 = Adj

so the "?" is  2.1 ft ( rounded to the nearest 10th )

2
Steven has 2 different spinners. He spun each spinner several times and recorded the
results in the tables below.
Spinner 1
Outcome Frequency
Red
8
Orange
4.
Yellow
2
Green
6
Spinner 2
Outcome Frequency
Blue
2
Purple
2
Black
1
White
5
Based on these results, if Steven spins each spinner 60 times, which of the following is
the best prediction of his results?
F Spinner 1 would land on orange 6 more times than Spinner 2 would land on purple.
G Spinner 1 would land on orange 10 more times than Spinner 2 would land on purple.
H Spinner 1 would land on orange twice as many times as Spinner 2 would land on purple.
3 Spinner 1 would land on orange the same number of times that Spinner 2 would land
on purple

Answers

Answer:

ok so the answer would be h

Step-by-step explanation:

so basically the ratio is 4:2 -1:2 so purple is 2 and orange is 4. meaning purple is half of the orange. that ratio stays the same. if you were to multiply puplr by 60 you get 120. and if you multiply 4 by 60 you get 240. which 240 divided by 120 is 2 meaning h is the right answer choice.

The correct observation is Spinner 1 would land on orange the same number of times that Spinner 2 would land on purple.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

Total times spined = 60

Spinner 1 land on orange out 60 times

= 4/20 x 60

= 1/5 x 60

= 12

Spinner 2 land on Purple out 60 times

= 2/10 x 60

= 1/5 x 60

= 12

Hence, Spinner 1 would land on orange the same number of times that Spinner 2 would land on purple.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ2

Eric starts with 10 milligrams of a radioactive substance. The amount of the substance decreases by 12 each week for a number of weeks, w. He writes the expression 10(12)w to find the amount of radioactive substance remaining after w weeks. Andrea starts with 1 milligram of a radioactive substance. The amount of the substance decreases by 20% each week for a number of weeks, w. She writes the expression (1−0.2)w to find the amount of radioactive substance remaining after w weeks. Use the drop-down menus to explain what each part of Eric’s and Andrea’s expressions mean.

Answers

Answer:

In Pic

Brainliest?

Step-by-step explanation:

Answer: Mark as brainliest "If" help

Step-by-step explanation: Hope It helps,,

i need help with this

Answers

Sq:

6*6=36

RG:

13+4=17

17*5=85

4*4=16

36+16+85=137

A= 137 in^2

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Q3. The answer is C which is 2x^3y^2+4y^2 and the Q4. The answer is 8n^2. I hope it helped :)

Army needs to order a shade for a triangle-shaped window has a base of 6 feet and a height of 4 feet.what is the area of the shade

Answers

Answer:

The area of the shade is 12 feet

Step-by-step explanation:

To find the area you would do 6 * 4 which equals 24 but with every triangle you have to cut the area in half so the actual answer would be 12 feet

Sofia buys 6 goldfish. Each goldfish costs $2. Sofia pays for the goldfish with one $10 bill and one $5 bill.

How much change does Sofia get back?

Answers

Answer:

$3

Step-by-step explanation:

6 x $2 = $12

$15 - $12 = $3

$3 Answer

Answer:

3  is your answer i have the same quiz

Step-by-step explanation:

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