A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a function of time t (in seconds) by the equation h = -16t2 + 56t. How much time does the ball take to reach its highest point?
1.75 seconds B) 2.50 seconds C) 2.75 seconds D) 3.50 seconds

Answers

Answer 1

Answer:

1.75

Step-by-step explanation:

h(t) = -16t² + 56t

h'(t) = -32t + 56

To find time at max height equate h' to 0

0 = -32t + 56

t = 56/32 = 1.75 s

It takes 1.75 s to reach max highest point


Related Questions

Can anyone help? PLS I NEED THIS BY TOMORROW!!

Answers

Answer:5 or 5 degrees

Step-by-step explanation:

the box means 90 degree so if you divide 45 with 90 you get 2

2 divided by 10 = 5

Answer:

x = y = 10

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x × [tex]\sqrt{2}[/tex] = 10[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

x = 10

Since the base angles are 45° then the triangle is isosceles and the 2 legs are congruent, then

x = y = 10

The ages of customers at a store are normally distributed with a mean of 45 years and a standard deviation of 13.8 years.
(a) What is the z-score for a customer that just turned 25 years old? Round to the nearest hundredth.
(b) Give an example of a customer age with a corresponding z-score greater than 2. Justify your answer.
Best answer gets brainliest!

Answers

The Standard Normal distribution follows a normal distribution and has mean 0 and ... z = s. Example. Find the z-score corresponding to a raw score of 132 from a ... be less than a given value, greater than a given value, or in between two values. ... P(z < 2.37). Solution. We use the table.

David has $520 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $303.93.
• He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $73.43 each.
Write and solve an inequality which can be used to determine x, the number of
outfits David can purchase while staying within his budget.

Answers

Step-by-step explanation:

after he buys everything he has 170.83 ( total 340.17) 73.43 times x

what is the simplified fractional equivalent of the terminating decimal 0.78?

Answers

Answer: 39/50

Step-by-step explanation: the answer is 39/50

Answer:

the answer is 39/50

Step-by-step explanation:

thank you

solve 6x + 6 = 3x - 6

Answers

Answer:

x = -4

I hope it's helps you t

Answer:

x = -4

Step-by-step explanation:

Simplifying

6x + 6 = 3x + -6

Reorder the terms:

6 + 6x = 3x + -6

Reorder the terms:

6 + 6x = -6 + 3x

Solving

6 + 6x = -6 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

6 + 6x + -3x = -6 + 3x + -3x

Combine like terms: 6x + -3x = 3x

6 + 3x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0

6 + 3x = -6 + 0

6 + 3x = -6

Add '-6' to each side of the equation.

6 + -6 + 3x = -6 + -6

Combine like terms: 6 + -6 = 0

0 + 3x = -6 + -6

3x = -6 + -6

Combine like terms: -6 + -6 = -12

3x = -12

Divide each side by '3'.

x = -4

math help pls answer

Answers

Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

Need help fast!!!
Use the number line to compare the numbers.
Drag and drop the numbers to place them in increasing order.

Answers

Answer:

the sequence of numbers starting left to right is: -2 -1.6 -1 -1/6 0 3/7 0.6 1 2  

Step-by-step explanation:

Answer:

Ok so -1.6 goes in between -2 and -1.  Then -1/6 goes in between -1 and 0. Then 0.6 goes between 0 and 1. And last 3/7 goes between 1 and 2. 

Step-by-step explanation:

hope this helps you :)

Nick has an album that holds 700 compact discs. Each page of the album holds 7 compact discs. If 69​% of the album is​ empty, how many pages are filled with compact discs​?

Answers

Answer:

41

Step-by-step explanation:

each page holds 7 discs. the alb holds 700 discs. that means there are 100 pages. 69% of the pages are empty so therefore 41 pages are filled.

1. Find the area of the parallelogram.

What is the area?

Answers

67.5in is the answer

Answer:

67.5[tex]in^{2}[/tex]

Step-by-step explanation:

Area of a parallelogram is base x height

The base of the given parallelogram is 9 inches and the height is 7.5 inches

So, its area would be

9 x 7.5

Area equals [tex]67.5^{2}[/tex]

In Delta*F * G * H , the measure of angle H=90^ , the measure of angle F=24^ , and FG = 57 feet. Find the length of HF to the nearest tenth of a foot.

Answers

Answer:52.1

Step-by-step explanation:

adj/hyp= x/57

cos 24=x/57

57 cos 24=x

x=52.0721= 52.1 FT

What is the area of sector GPH?
The area of sector GPH is
=____square yards.

Answers

Answer:

sector GPH = 16π yd²

Step-by-step explanation:

area of full circle = πr² = (π)(12²) = 144π yd²

area of 40° segment = (40/360)(144π) = 16π yd²

Find the measurement of Dae need help fast​

Answers

Answer:

D = 80 degrees or (76+4) C And F are 70 i think

Step-by-step explanation:

– 6 (2x – 3) – 11
A: 12x  29
B:
7 12x
C:
12x  7
D:
7 12x
E: None of these

Answers

Answer:

12x + 7 is the answer

Step-by-step explanation:

Graph the line with the equation y = 1/2x+3​

Answers

Answer:

(0,3) (-6,0) these will be the points

PLZZZ HELP MEEEEE!!!!

Answers

Answer:

She would use the mean.

Step-by-step explanation:

Type the correct answer in each box. Use numerals instead of words. If necessary, useType the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Jane arranges m chairs in each of n rows to seat x people. The formula to find the number of chairs in each row is m = . If 60 people attend the meeting and each row has 4 chairs, there are rows. / for the fraction bar(s). Jane arranges m chairs in each of n rows to seat x people. The formula to find the number of chairs in each row is m = . If 60 people attend the meeting and each row has 4 chairs, there are rows.

Answers

Answer:

m = x / n

n = 15

Step-by-step explanation:

Number of chairs per row = m

Number of rows = n

Number of people = x

Number of chairs per row, m = number of people, x / Number of rows, n

m = x / n

If number of attendees, x = 60 ;

Number of chairs per row, m = 4

The number of rows, n = number of attendees / number of chairs per row, m

Hence, n = 60 / 4 = 15 rows

HELP FOR TEST PLZ
find measure of angle 1

Answers

Answer:

the answer should be 98

Step-by-step explanation:

try it

20 POINTS

The triangles are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.

Answers

Answer:

B or C

Step-by-step explanation:

Now this one is very very confusing for me but i'm leaning more to B, if someone else gets a different answer though i would listen to them, but it's one of those two but i think its B.

what percent is 25 is 4 plz help

Answers

Answer: 16%

Step-by-step explanation:

4:25*100 =  

(4*100):25 =  

400:25 = 16

A triangle has sides with lengths of 10 millimeters, 17 millimeters, and 18 millimeters. Is it a right triangle?

Answers

Answer:

no, it is not

if it were a right triangle, 10² + 17² = 18²

but this is not the case

Step-by-step explanation:

we would use Pythagoras theorem to determine if it is a right angle

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² + 17² =

100 + 289 = 389

square root of 389 is 19.72 and not 18. thus, it is not a right triangle

Container A has 200 Liters of water, and is being filled at a rate of 6 liter per minute. Container B has 500 Liters of water, and is being drained at a rate of 6 liters per minute. How many minutes will it take for both containers to have the same amount of water.

Answers

Answer:

25 minutes

Step-by-step explanation:

let x represent total time when both containers to have the same amount of water.

the equation to represent container A = 200 + 6x

the equation to represent container B = 500 - 6x

Because both containers would have the same amount of water,  the two equations would be equal to each other

200 + 6x = 500 - 6x

collect like terms

12x = 300

x = 300/12

x = 25 minutes

WILL REWARD BRAINIEST! What is the volume of the composite figure if both the height and the diameter of the cylinder are 10.5 feet? Give the exact answer and approximate to two decimal places.

Answers

Answer:

908.74

Step-by-step explanation:

The formula for the volume of a cylinder is V = h * pi * r^2

h is height, r is radius, and pi is 3.14. The radius is half of the diameter, so that would make the radius 5.25.

So now plug it into the formula:

V = 10.5 * pi * (5.25)^2

= 908.74

Hope this helped! :)

Answer:

1211.65 cubed ft.

Step-by-step explanation:

Half sphere: V = 4/3(3.24)(5.25^3)

V = 605.82

Divide by two since we need to find the volume of the half sphere, not the full sphere.

605.82 ÷ 2 = 302.91

Cylinder: V = (3.14)(5.25^2)(10.5)

V = 908.74

Add the two volumes to each other to find the total volume of the composite figure.

908.74 + 302.91 = 1211.65

Erin is ordering a laptop computer. The computer costs $1,360.00, and there is a 6% sales tax.
What is the amount of sales tax Erin will owe for her computer?

Answers

Answer:

$81.6

Step-by-step explanation:

(1,360.00)(6%)=81.6

A merchant bought 12 boxes of eggs containing 10 eggs each at the rate of rs 50 per box.He spent rs 40 on transportation.He sold the eggs at rs 12 per pair.Calculate his gain or loss%.

Answers

Given:

A  merchant bought 12 boxes of eggs containing 10 eggs each at the rate of Rs 50 per box.

He spent Rs 40 on transportation.

He sold the eggs at rs 12 per pair.

To find:

The gain or loss percentage.

Solution:

The cost of 1 box of eggs is Rs. 50. So, the cost of 12 boxes of eggs is:

[tex]12\times 50=600[/tex]

Number of eggs in 12 boxes is:

[tex]12\times 10=120[/tex]

He spent Rs 40 on transportation. So, total cost of 12 boxes of eggs is:

[tex]600+40=640[/tex]

Cost of each egg is:

[tex]\dfrac{640}{120}=\dfrac{16}{3}[/tex]

He sold the eggs at Rs 12 per pair. It means the selling price of two eggs is Rs 12. So, the selling price of each egg is:

[tex]\dfrac{12}{2}=6[/tex]

We need to find the gain or loss percentage.

Since [tex]\dfrac{16}{3}<6[/tex] it means the selling price is greater than the cost price, therefore it is gain.

The gain percent is:

[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

[tex]Gain\%=\dfrac{6-\dfrac{16}{3}}{\dfrac{16}{3}}\times 100[/tex]

[tex]Gain\%=\dfrac{\dfrac{18-16}{3}}{\dfrac{16}{3}}\times 100[/tex]

[tex]Gain\%=\dfrac{2}{16}\times 100[/tex]

[tex]Gain\%=12.5\%[/tex]

Therefore, the gain percent is 12.5%.

2
EXERCISE 6.4
Challenge
Use the given rules to complete the following tables.
1
2
3
4
12
Position in sequencen
Term in sequence y = 2n + 3
the position in the
Imagine that you
work for 30 days.
Which of the
following two salar
would you rather
earn? Explain your
choice.
2.
1
2
3
4
15
10
Position in sequencen
Term in sequence y = -2n - 4
3.
2
Position in sequencen
3
18
4
10
Term in sequence y = -5n - 4
1
2
3
4
11
Position in sequencen
Term in sequence y = -2n - 14
10c on the first
20c on the seca
day; 40c on the
third day; 800
the fourth day
so on, for 30 C
R100 on the f
day; R101 on
second day;
on the third
and so on, fa
days.
.
10
5.
1
2
3
4
10
Position in sequencen
Term in sequence y = n+1
6.
2
1
20
3
4
Position in sequences
Term in sequence y = 2r2

Answers

Answer:

Unit 9 Answer Key.pdf

Step-by-step explanation:

Search that up and you'll see all the answers

Please give me Brainliest and like and rate please hope this helps BYE!

what goes in the highlighted box?

Answers

Answer: 11y

Step-by-step explanation:

When you add 6y and 5y that equals 11y <3

Answer:

11Y goes in the highlighted section.

Step-by-step explanation:

Since the Xs was crossed out you don't have to worry about the X going tin the highlighted area.

Then add the Ys together.

I can't really explain anymore, but i hope this helps!!!!

Then your final answer would be y=6. :)

a cat is stuck on the root. if the ladder is 16 feet long and must be placed six feet away from the building. how high can the ladder reach up the building to help save the cat

Answers

Step-by-step explanation:

a^2 + b^2 = c^2

height + 6^2 = 16^2

height = 14.83

If the same textbook is in a lower shelf that is o.75 m above the floor. What is its potential now?

Answers

Answer:

PE = 51.45 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8m/s^2)(0.75 m)

= 51.45 Joules

2 * blank equals 6.5​

Answers

Answer:

3.25 or 3 and 1/4

Step-by-step explanation:

The algebraic equation is 2x = 6.5.

Divide by 2 to get your answer.

6.5 divided by two is 3.25.

x = 3.25

Answer:

3.25

Step-by-step explanation:

just take away the 25 and multiply it that way

Plz give me brainllest

1. The perimeter of a rectangular garden is 348 m. If the width of the garden is 81 m, what is its length?

2. The area of a rectangular window is 6624 cm If the length of the window is 92 cm, what is its width?​

Answers

Answer:

1. 93 m is the length of the rectangular garden.

2. The width of the window is 72 cm.

Step-by-step explanation:

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