A waterfall has a height of 1200 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 24 feet per second. The​ height, h, of the pebble after t seconds is given by the equation -16t^2+24t+1200 . How long after the pebble is thrown will it hit the​ ground?

Answers

Answer 1

Answer: 9.44 seconds

Step-by-step explanation:

A movement equation in the vertical axis is usually written as follows:

p(t) = (-g/2)*t^2 + v0*t + p0

where:

g is the gravitational acceleration, in this case is 32 ft/s^2, then -g/2 = -16ft/s^2

v0 is the initial velocity, in this case, 24 ft/s

p0 is the initial height, in this case, 1200ft

Then, when p(t)  = 0ft will mean that the pebble will hit the ground, then we need to calculate:

p(t) = -16t^2+24t+1200  = 0

and find the value of t, this is a quadratic equation, then we can use the Bhaskara equation to find the two solutions, these are:

[tex]t = \frac{-24 +- \sqrt{24^2 - 4*(-16)*1200} }{2*-16} = \frac{-24 +- 278.2}{-32}[/tex]

Then the two solutions are:

t = (-24  + 278.2)/-32 = -7.94 seconds (we can discard this one, because the negative time is not really defined)

t = (-24 - 278.2)/-32 = 9.44 seconds

Then the pebble needs 9.44 seconds to hit the ground


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I need help on this pls help me

Answers

Answer:

irrational numbers is in the red rectangle, rational numbers is outside both circles on the left, integers is in the purple circle, whole numbers is in the blue circle

false

true

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true

Step-by-step explanation:

How much interest is earned on a principal of $900 invested at an interest
rate of 13% for eight years?

Answers

Answer:

11700

Step-by-step explanation:

Which number is a reasonable estimate for 826x64?
А
64,000
B
50.000
6,400
D
5,000

Answers

The answer would be c

Bri goes to the movies and buys three items that together sum to $11.50. Two of the items she
bought cost $3 each. Write an equation to express how much money Bri spent at the movies.

Answers

Answer:

the answer is $5.5

Step-by-step explanation:

70 72 76 90 what will go before 90​

Answers

Answer:

78  

Step-by-step explanation:

Alex bought a new aquarium. He is in the process of setting it up. The aquarium is in the shape of a right rectangular
prism and the dimensions, in inches, are 367 x 19 x 24. During the set-up, Alex fills the aquarium with 6,039
ins of water.
What percent of the volume of the aquarium is filled with water? Round your answer to the nearest whole percent.
Enter your answer in the space provided.

Answers

Answer:

4%

Step-by-step explanation:

Formula for volume of a right rectangular prism is;

V = lwh

Where;

l is length

w is width

h is height

We are given l = 367; w = 24; h = 19

Thus;

Volume is;

V_full = 367 × 24 × 19

V_full = 167352 in³

We are told that Alex filled the aquarium with 6039 in³ of water.

Thus, percentage of the aquarium filled with water is;

(6039/167352) × 100% = 3.61%

Approximating to nearest percent gives; 4%

Complete the statement. Explain your
reasoning
7
3
26
8 4 15 C

Answers

Answer:

132 degree

Step-by-step explanation:

a and b are parallel and c is a transversal

so 2 and 3 are interior and they both equal 180

so 3 = 180-48= 132

Answer:

m<3=138

Step-by-step explanation:

m<2=42

m<1=m<3

180-42=138

m<1=138 m<3=138

m<1 and m<3 are alternate interior angles

PLEASE PLEASE PLEASE HELP!! 2 QUESTIONS WITH FUNCTIONS PLEASE!! URGENT!

Answers

Answer:

(-2, 1)16x^2 - 16x + 4

Step-by-step explanation:

1.

Domain is the set of x-values

As per graph the domain is

x = (-2, 1)

2.

f(x) = 4xg(x) = (x - 2)^2

g(f(x)) is, replacing x with f(x) = 4x

g(f(x)) = (4x - 2)^2 ⇒ g(f(x))= 16x^2 - 16x + 4

4j + 4j − 6j − j = 12
Solve for J

Answers

J equals 12...........

Answer:

j =12 you have to combine like terms which is all and then it will give u 12

(I'll be giving brainliest and extra points to who ever helps me!!)


Solve one and three fourths times two fourths.

A) fourteen sixteenths
B) fifteen sixteenths
C) seventeen sixteenths
D) eighteen sixteenths

Answers

Answer:

A.  fourteen sixteenths

Step-by-step explanation:

[tex]1\frac{3}{4} x \frac{2}{4}[/tex]

[tex]\frac{7}{4} x \frac{2}{4}[/tex]

[tex]\frac{14}{16}[/tex]

Hope I helped you out!

~PumpkinSpice1

♥☼☺

Answer:

A it didnt let me answer at first and it dose now

Step-by-step explanation:

Please help me figure out the answer to this question and the processes well!

Answers

Plug the x values into the equation.
For -3 the answer is -11 because 3(-3)-2 = -11
For 1 the answer is 1 because 3(1)-2 = 1
For 5 the answer is 13 because 3(5)-2 = 13
So your points will be (-3,-11), (1,1), and (5,13)

Solve for u.

-3u = -12.99

u =

Please Hurry

Answers

Answer: u = 4.33

Step-by-step explanation:

-3u = -12.99

-3u / -3 = -12.99 / -3

u = 4.33

41 times what would get you to 57?

Answers

Answer:

57/41

Step-by-step explanation:

41 * x = 57

x = 57/41

41 x 57 = 2,337 I hope it’s right

2. Paula learned to play a total of 10 pieces over the course of 5 weeks of piano lessons. In all, how
many weeks of piano lessons will Paula need before she will be able to play a total of 18 pieces?

Answers

10pieces = 5 weeks , to get how long it takes for 1 piece do 5/10 = 0.5, so 1 piece = 0.5 weeks the multiply them both by 18 to get how many weeks it would be so 18 pieces = 9 weeks

What is the square root of 167 -8i -4i 4i 8i​

Answers

Answer:

12.922848

Step-by-step explanation:

I used my calculator

Will mark brainliest, PLEASE! A department buys 300 shirts at a cost of $1,800 and sells them for $10 each. Find the percent markup rounded to the nearest percent

Answers

Answer:

=166.66% markup

Step-by-step explanation:

1800/300 = $6 a shirt

If they're being sold for $10

10/6 =5/3

=1.666

x100

=166.66% markup

Jane has 34 candles leftover from the last craft show and Brianna has 2 candles. They are making more candles for the next show. Jane makes 24 candles per hour and Brianna makes 32 candles per hour. They are also going to use the candles leftover from the last show and want to have the same number of candles at their stalls for this show. Let represent the number of hours they need to work for this.

Answers

Answer:

plz

Step-by-step explanation:

thx

Answer:

its 4 hours

Step-by-step explanation:


if c = 42 -d is true, then which is greater: cord, or are you not able to tell? Explain how you
know your choice is correct.

Answers

Answer:

what does d equal?

Step-by-step explanation:

A line with a slope of 1/2 passes through (-5,-2). Write the equation of the line in standard form.

Answers

5-4 //jzbbxbxbzbbsjd jsjdjcn ñandú

i will give brainliest if correct

Answers

Answer:

The surface area of the net shown is: 88 [tex]in^2[/tex]

Step-by-step explanation:

Break up the different shapes in the net:

Let's take the big square first:

It has a side of 5in and a base of 4in.

We multiply both these values to get 20[tex]in^2[/tex]

Lets look at the small rectangular box now:

It has a side of 3in and a base of 4in.

We multiply both these values to get 12[tex]in^2[/tex]

There are two big squares so we add up their surface areas:

20[tex]in^2[/tex] + 20[tex]in^2[/tex] = 40[tex]in^2[/tex]

There are 4 small rectangular squares so we add up their surface areas:

12[tex]in^2[/tex] + 12[tex]in^2[/tex] + 12[tex]in^2[/tex] + 12[tex]in^2[/tex] = 48[tex]in^2[/tex]

Now we add up the big square and small rectangular squares values:

40[tex]in^2[/tex] + 48[tex]in^2[/tex] = 88[tex]in^2[/tex]

Therefore the answer is 88[tex]in^2[/tex]

Bill takes a loan of $9000 at a 8% simple interest rate for 6 years.
A. How much interest will he pay after 2 years?
B. How much interest will he pay in total for the loan?

a. $ 720.00; $3,600.00
b. $36,000.00; $ 12,000.00
C. $1440.00; $4,320.00
D. $ 1,408.00; $4,224.00

Answers

Answer: you have to divide

Step-by-step explanation:

2+2=....... easy points...

Answers

Answer:

Either 4, 22, or 44

Step-by-step explanation:

Choose one :)

Thank you!

Answer:

4

2+2=4 it is easyyy

A baseball team won 20 games and lost 10 games. What percent of the games did the team win?
33One-third%
50%
66Two-thirds%
200%

Answers

Answer:

50%

Step-by-step explanation:

10/20 is equal to 1/2, 1/2 can be rewritten as .50 or 50%

Plz help Solve three and one half times one and two thirds


A) three and two sixths

B) four and two sixths

C) five and five sixths

D) six and five sixths

Answers

im pretty sure its b im sorry if i am wrong

Answer:

B

Step-by-step explanation:

Why is 210 divided by 30 the same as 21 tens divided by 3 tens

Answers

21 tens is equal to 210, and 3 tens is equal to 30.

Reason behind both the situations are the same are the place values of the digits.

What are the place values?

According to their position in a number, each digit has a different value in mathematics, which is called place value. From the unit's starting location, these positions begin.

Ones/units, tens, hundreds, thousands, ten thousands, and so on are all ways to describe the place value of a number's digits in sequence from right to left.

Each digit in a number has a place value, which is its worth. Each digit in a number has a unique value depending on where it sits in the number. The value of a digit depends on where it falls in the number; two comparable digits in the same number may have different values.

When 210 is written in the form of place value, this will be written as 21 tens and 30 will be written as 3 tens.

Therefore, the given statement has the same values and is correct.

Learn more about place values from here:

https://brainly.com/question/1677741

#SPJ2

Answer check helpppp

Answers

Your correct can I get a brain list

Answer:

correct good job!!!

Step-by-step explanation:

Suppose that a loan of $8000 is given at an interest rate of 16% compounded each year.
Assume that no payments are made on the loan.
Follow the instructions below. Do not do any rounding ?

Answers

Answer:

9280

Step-by-step explanation:

8000 x .16 + 8000

Train A leaves a station traveling at 28 km/hr. Two hours later train B leaves the same
station traveling in the same direction at 84 km/hr. How many hours will it take train B to
catch up to train A?

Answers

it will take 1 hour to catch up to train a but if the question means from as soon as train a leaves, it is 3 hours.

The time taken by train B to cover the distance of 56 km when the train at the station is in 1 hour.

What is kinematics?

It is the study of the motion of a body without considering mass. And the reason behind them is neglected.

Train A leaves a station traveling at 28 km/hr.

Two hours later train B leaves the same station traveling in the same direction at 84 km/hr.

The distance traveled by the train A in two hours will be

[tex]\rm D_A=28 \times 2 = 56 km[/tex]

Then the distance between the trains when train B is at the station is 56 km.

Then the relative speed of the train will be

[tex]\rm V_{BA} =84 - 28 = 56 \ km/hr[/tex]

Then the time taken by train B to cover the distance of 56 km is in 1 hour.

More about the kinematics link is given below.

https://brainly.com/question/25638908

Graph the line that contains the point (-3,1) with a slope of 2/3

Answers

Answer:

The graph of the line [tex]y=\frac{2}{3}x+3[/tex] that contains the point (-3,1) with a slope of 2/3 is attached below.

Step-by-step explanation:

We know that the slop-intercept form of the equation is

[tex]y=mx+b[/tex]

where m is the slope, and b is the y-intercept.

Given the slope = m = 2/3, and point (-3, 1)

[tex]1=\frac{2}{3}\left(-3\right)+b[/tex]

[tex]-\frac{2}{3}\cdot \:3+b=1[/tex]

[tex]-2+b=1[/tex]

[tex]b=3[/tex]

so the equation of line will be:

[tex]y=mx+b[/tex]

[tex]y=\frac{2}{3}x+3[/tex]

Also, the graph of the line [tex]y=\frac{2}{3}x+3[/tex] that contains the point (-3,1) with a slope of 2/3 is attached below.

HELP MEEEEEEEEEEEE WILL GIBE BRAINLISTTTTTTT

Answers

Answer:

b

Step-by-step explanation:

Answer:

The answer is C, 2/9

Step-by-step explanation:

Since there 18 marbles in total and 4 blue marbles, that makes the probability 4/18. Although, 4/18 has to be simplified, which is 2/9

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