A ball is thrown straight up with initial velocity of 64 ft./s. The height of the ball t seconds after it is thrown is given by the formula s(t)=64t-16t^2

Answers

Answer 1

Answer:

64 feet

Step-by-step explanation:

Complete question

A ball is thrown straight up with initial velocity of 64 ft./s. The height of the ball t seconds after it is thrown is given by the formula s(t)=64t-16t^2. Find the maximum height reached by the ball.

At maximum height, the velocity of the ball is zero, i.e ds/dt  =0

ds/dt = 64 - 32t

64 - 32t = 0

32t = 64

t = 64/32

t = 2secs

Substitute t = 2secs into the given equation;

Recall that s(t)=64t-16t^2

s(2) = 64(2) - 16(2)^2

s(2) = 128 - 16(4)

s(2) = 128 - 64

s(2) = 64 ft

Hence the maximum height reached by the ball is 64 feet


Related Questions

hey guys pls help asap also pls explain

Answers

Answer:

5

Step-by-step explanation:

we have 2 white 2 black, when you add 2 beads you have 3 white 3 black, the same ratio as before. to get 1/3 black you need 6 white 3 black so you need 3 more beads. we will have moved 5 over in total.

right i think sorry if wrong

What is the expression in repeated multiplication form of (-8)^3 • (-8)^4

Answers

Answer:

(-8)x(-8)x(-8)x(-8)x(-8)x(-8)x(-8)

Step-by-step explanation:

Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?

Answers

Answer:

$ 20,189.65

Step-by-step explanation:

Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?

From the above question, we are to find the Principal. The formula for Principal compounded continuously =

P = A / e^rt

Where:

A = Amount after time t = $100,000

r = Interest rate = 4%

t = Time in years = 40 years

First, convert R percent to r a decimal

r = R/100

r = 4%/100

r = 0.04 per year,

Then, solve our equation for P

P = A / e^rt

P = 100,000.00 / e ^(0.04×40)

P = $ 20,189.65

Therefore, the amount Jake's parents should invest = $ 20,189.65

Select all values that would make the following inequality true: x ≥ -10

-10

-14

-2

0

Answers

Answer:  -10; -2; 0

Step-by-step explanation:

≥ means greater or equal than.

-10 is equal -10, true.

-14 is less than -10, so false.

-2 is greater than -10, true

0 is greater than -10, true

so the answer is -10, -2 and 0 can make this inequality true.

The price of an object with 13% value added tax is 5763 . what will be the value added tax amount ? find it​

Answers

Answer:

100. ~113

x ~ 5763(assume that X is price without VAT)

100×5763=113×x

X. =(5763×100)/113. (5763/113=51)

X= 51×100

X =5100

VAT=5763-5100

=RS.663

The value added tax amount will be "663".

Given:

Interest rate,

13%

Object price,

5763

The value added tax will be:

→ [tex]\frac{13 \ percent}{100+13} = \frac{VAT}{5763}[/tex]

→       [tex]VAT = 5763\times \frac{0.13}{1.13}[/tex]

                 [tex]= 663[/tex]

Thus the approach above is right.  

Learn more about tax amount here:

https://brainly.com/question/22910752

PLEASE HELP!!! DISTRIBUTIVE PROPERTY

Answers

6(2x+4)=12
|
Multiply 6 with numbers in the parenthesis
|
12x +24=12
|
Subtract 24 to both sides
|
12x = 12
|
Divide 12 with both sides
|
Answer x=1

Craig collects stamps he collected a total of 150 stamps if 88% of the stamps be collected were foreign how many stamps did he collect

Answers

Answer:

18 Non Foreign Stamps

Step-by-step explanation:

Given data

Total stamps= 150

Foreign Stamps= 88% of the total stamps

Hence the number of foreign stamps is

=88/100*150

=0.88*150

=132 Foreign Stamps

The number of stamps that is Non Foreign Stamps is

=150-132

=18 Non Foreign Stamps

Help me plz and I’ll give brainliest and it’s due in 20 mins

Answers

Answer:

2. c

3.

a. no

b. yes

c. yes

d. no

e. yes

I think this is right

4.

Part A;

5.4-3.1=D

Part B;

4.9+3.1=t

Part C:

1. 2.3

2. 8

I hope this helps!!!

Step-by-step explanation:

NEED HELP ASAP!! Please show steps and answer correctly! :)

One car traveled 240 miles and drove 20 mph hour faster than a second car drove 160 miles. If the cars were traveling for the same time, how fast was the first car traveling?

Answers

Answer:

190

Step-by-step explanation:

What is the surface area of the rectangular prism?

36 cm²

108 cm²

72 cm ²


54 cm²

Answers

Answer:

SA = 108cm² (the 2nd option)

Step-by-step explanation:

h = 4

l = 3

w = 6

SA = 2(lw + lh + wh)

SA = 2((3)(6) + (3)(4) + (6)(4))

SA = 2(18 + 12 + 24)

SA = 2(54)

SA = 108cm²

The surface area of the rectangular prism is 108cm².

Calculation of the surface area of the rectangular prism:

Since

height = 4

length = 3

width = 6

So, here the surface area is

SA = 2(lw + lh + wh)

= 2((3)(6) + (3)(4) + (6)(4))

= 2(18 + 12 + 24)

= 2(54)

= 108cm²

hence, The surface area of the rectangular prism is 108cm².

Learn more about area here: https://brainly.com/question/24591736

Shalini blusex batting scores were 13144 155 142 167 172 what was his score​

Answers

13144 mr brill this should help

What is 1/8 x 5/6 x 4/5 you will need paper.

Answers

Answer:

This would equal [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

We do this by just multiplying straight across

Numerators go first

[tex]1*5*4[/tex]

This equals 20

Now the denominators

This would be done by

[tex]8*6*5[/tex]

This equals 240

now all together this is

[tex]\frac{20}{240}[/tex]

Simplify

[tex]\frac{1}{12}[/tex]

Figure ZANY is a square. If ZY = 7x - 3 and ZA = 6x, what is the value of x

Answers

7x-3=6x
x=3
..........

HELP PLEASE HELP PLS HELP THIS WORK NEED TO BE FINISH HELP ME WITH IT WILL BE REWARD BRAINLIEST AND WILL GIVE 100 PIONT FOR FREE!

Answers

Answer:

The simplified expression is 498,400÷7. The value is 71,200.

Step-by-step explanation:

712×25×14×2= 498,400.

498,400÷7 becomes our expression. And that answer is 71,200. I hope this helps

Answer:

Step-by-step explanation:

substitute

a + 2p = 4

x − 2y = 6

What is the area of triangle ABC

Answers

Answer:

A = 24 cm²

Step-by-step explanation:

The area (A) of Δ ABC is calculated as

A = [tex]\frac{1}{2}[/tex] × AB × AC

Calculate AC using Pythagoras' identity

AC² + AB² = BC²

AC² + 6² = 10²

AC² + 36 = 100 ( subtract 36 from both sides )

AC² = 64 ( take the square root of both sides )

AC = [tex]\sqrt{64}[/tex] = 8

Then

A = 0.5 × 6 × 8 = 24 cm²

Estimate the quotient.6.2 ÷ 8

Answers

Answer:

0.775

Step-by-step explanation:

is 5he answer

Step by step

4
The formula for the volume of a sphere is
V= 3 #rº. What is the formula solved for r?

Answers

Answer:

B. r = 3√(3V - 4π)

Step-by-step explanation:

volume of a sphere,V = 4/3πr³

Solve for r

V = 4/3πr³

V - 4/3π = r³

r³ = V - 4π/3

Cross product

r³ = V*3 - 4π

r³ = 3V - 4π

Find the cube root of both sides

3√r³ = 3√(3V - 4π)

r = 3√(3V - 4π)

Write an equation in slope intercept form from two points (5,5) and (3,7)

Answers

Answer:

y = -x + 10

Step-by-step explanation:

find the slope (-1) and y intercept (10)

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

Step-by-step explanation:

(5,5) and (3,7)

so

(5-7)/(5-3)= -2/2=-1

so the slope is -1

y=-1x+10

Gracie and Mark are having a
contest to see who can sell the most
cupcakes. For every 3 that Mark
sold, Gracie sold 4. If Gracie sold 4
more than Mark, how many total
cupcakes were sold?

Answers

Answer:

Mark sold 12 cupcakes, meaning Gracie sold 16.

4 threes, and 4 fours.

Mark            Gracie

O O O          O O O O

O O O          O O O O

O O O          O O O O

O O O          O O O O

Answer:

Step-by-step explanation:

m/g=3/4

m=3g/4, now we can express m in terms of g

g=4+m, using m found above in this equation gives you

g=4+(3g)/4

4g=16+3g

g=16, since m=3g/4

m=3(16)/4

m=48/4

m=12

So total cupcakes sold is 12+16=38.

38 cupcakes were sold.

4. Kevin can clean a large aquarium tank in about 9 hours. When Kevin and Lara
work together, they can clean the tank in 6 hours. Write a rational equation that
could be used to determine how long it would take Lara to clean the tank if she
works by herself. You do not have to solve the equation. You may solve the
equation for extra credit.

Answers

Answer:

Part A

The rational equation that can be used to determine how long it would take Lara to clean the tank alone is; 6/9 + 6/x = 1

Part B

It would take Lara 18 hours to clean the tank if she works by herself

Step-by-step explanation:

Part A

The time it takes Kevin to clean an aquarium tank alone = 9 hours

The time it takes Kevin and Lara to clean the tank together = 6 hours

Let '1/x' represent Lara's cleaning rate, we have;

The time it would take Lara to clean 1 tank alone = 1/(1/x) = x

Kevin's cleaning rate, y = 1/9 tank per hour

The number of tanks, z =  tank

The total time it takes both of them to clean the tank, t = 6 hours

Therefore, we get;

t × y + t × 1/x = z

When t = 6, y = 1/9, and z = 1, we get;

6 × (1/9) + 6·(1/x) = 1

Therefore, the rational equation that can be used to determine how long it would take Lara to clean the tank if she work by herself, '1/x', is given as follows;

6/9 + 6·(1/x) = 1

6/9 + 6/x = 1

Part B

Solving the rational equation gives;

1/x = (1 - 6/9)/6 = 1/18

∴ 1/x = 1/18)

∴ x = 18

The time it would take Lara to clean the tank if she worked by herself, x = 18 hours

Car survey in a survey of 1200 people who owned a certain type of car,600 said they would buy that type of car again.What percent of people surveyed were satisfied with the car?

Answers

Answer:

50 percent

Step-by-step explanation:

Total number of people in this car survey = 1200

Total number of people who they would still buy same car type = 600 (these are the satisfied people)

The percentage = 600/1200 x 100

= 0.5 x 100

= 50 percent

So the percentage of satisfied people who would buy this type of car again is 50%

the answer isn't 8-2root3 btw

Answers

Answer:

1.41226231144

Step-by-step explanation:

Answer:

Step-by-step explanation:

16cos(30)-20sin(60) -8sin(90)

look at the pattern of the numerators Millie, you can remember all of the sin and cos  functions at the special angles now. :)

sin(0) = 0 / 2

sin(30) = 1 / 2

sin(45) = [tex]\sqrt{2}[/tex] / 2

sin(60) = [tex]\sqrt{3}[/tex] / 2

sin(90) = [tex]\sqrt{4}[/tex] / 2   aka  1

now the numerators just count up from 90°

cos(90) = 0 / 2

cos(60) = 1 / 2

cos(45) = [tex]\sqrt{2}[/tex] / 2

cos(30) = [tex]\sqrt{3}[/tex] / 2

cos(0) =  [tex]\sqrt{4}[/tex] / 2   aka  1

see the pattern.. it's pretty easy to memorize, knowing that :)

now let's use the above to plug into the given equation

16* [tex]\sqrt{3}[/tex] / 2 - 20* [tex]\sqrt{3}[/tex] / 2- 8*[tex]\sqrt{4}[/tex] / 2

8* [tex]\sqrt{3}[/tex] - 10 [tex]\sqrt{3}[/tex]  -8

-2*[tex]\sqrt{3}[/tex]  - 8

this isn't quite the same answer as you got before.. I feel like it's right

please help with numbers 5-18..ik its a lol but please this a 4 page packet and please show work

Answers

Answer:

5-18 answers below ↓

Step-by-step explanation:

5) 14/2=7

7^2=49

10^2=100

h^2+49=100

-49 -49

h^2=51 h=✓51= 3•17

6) 48/2= 24

24^2=576

44^2=1936

h^2+576=1936

-576 -576

h^2=1360 h=✓1360= 4•340

7) 24^2+b^2=32^2 (leg is short side & hypo.. is long side)

576+b^2=1024

-576 -576

b^2= 448 b=✓448=4•112 length of 3rd side it's hypo..

8) 24^2+b^2=45^2

576+b^2=2025

-576 -576

b^2=1449 b=✓1449=9•161 length of 3rd side hypo..

9) 40^2+b^2=85^2

1600+b^2=7225

-1600 -1600

b^2=5625 b^2=✓5625 b=75 length of 3rd side leg

10) 49^2+b^2=168^2

2401+b^2=28,224

-2401 -2401

b^2=25,823 b=✓25,823 b=49•527 length of 3rd side hypo..

11) 72^2+b^2=78^2

5184+b^2=6084

-5184 -5184

b^2=900 b=✓900=30 length of 3rd side leg

12) 7^2+x^2=10^2

49+x^2=100

-49 -49

x=51=3•17

13) 12^2+x^2=28^2

144+x^2=784

-144 -144

x=✓640=4•160

14) 44^2+x^2=52^2

1936+x^2=2704

-1936 -1936

x=✓768=4•192

15) 120^2+h^2=125^2

14,400+h^2=15,625

-14,400 -14,400

h^2=1,225 h=✓1225 h=35

16) might be wrong but worth a try 8+8=16

16^2+x^2=16^2

256+x^2=256 x=0 don't know these challenge ones sorry, but the rest of the questions are correct hope this helps u (:

If I have a meal that cost 6.14 and I have $8 how much change do I get

Answers

Answer:

8-6.14= 1.86

That's what you get

Answer:

you would get $1.86 back

factorize 4x^3 -8x^2- 12x

Answers

Answer:

Step-by-step explanation:

4x³ - 8x² - 12x = 4x ( x² - 2x - 3)

                       = 4x (x² + x - 3x - 3*1)

                       = 4x [ x(x + 1) - 3(x +1)]

                       = 4x [ (x +1) (x - 3)]

                       = 4x  (x + 1)(x-3)

Answer:4x^3 -8x^2- 12x

Taking common4 x

4X(x²-2x-3)

Doing middle term factorization

4x(x²-3x+x-3)

4x(x(x-3)+1(x-3))

4x(x-3)(x+1) is your answer

Step-by-step explanation:

please anyone know anything abt geometry i really need it

Answers

Answer:

8,14,9 = yes

8 + 14 > 9 ✅

17,4,13 = yes

17 + 4 > 13 ✅

9,9,9 = yes

9 + 9 > 9 ✅

22,23,60 =  no

22 + 23 > 60 ❌

If g(x)=−5x2−11 and f(x)=10x+5, find (f⋅g)(x).

Answers

Answer:  -50x^3 - 25x^2 - 110x - 55

Step-by-step explanation: brainliets if its right

-1/3+1/2 simplified??

Answers

Answer:

1/6

Step-by-step explanation:

PLS HELP 100 POINTS ILL EVEN SEND U 50 AFTER IF U HELP

USE THE PIC


10.) Huntington’s disease is an autosomal dominant genetic disorder causing a breakdown of the brain. Write in the genotypes on the line next to / below each individual.

Answers

Answer:

1.dd

2.Dd

3.dd

4.Dd

5.dd

Explanation:

It's genetics

   D     d

d   D     d

d   D     d

what's the value of x

if
[tex] {x}^{3} = 343[/tex]

Answers

cube root of 343 is 7 so x is 7

Answer:

The value of x is 7.

Step-by-step explanation:

Cube root both sides to isolate x. X euqal 7

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