1.
A rock is thrown upward with a velocity of 12 meters per second from the top of a 28
meter high cliff, and it misses the cliff on the way back down. When will the rock be 5
meters from ground level? Round your answer to two decimal places.
Gravity Formula


PLS HELP

Answers

Answer 1

Answer:

The rock will be be 5  meters from ground level at time = 3.713 seconds

Step-by-step explanation:

As we know-

[tex]s(t) = -4.9 * t^2 + v_0t + s_0[/tex]

V0 = velocity

S0 = height above ground when thrown

Substituting the given values, we get -  

[tex]9 = -4.9* t^2 + 12 * t +32\\-4.9*t^2 +12*t + 23 = 0[/tex]

As per the formula

[tex]t = \frac{-12+ \sqrt{12^2 -4*(-4.9)*23} }{(2*(-4.9)} \\t = 3.713[/tex]

The rock will be be 5  meters from ground level at time = 3.713 seconds


Related Questions

Plzz help!!!!

Which set of ordered pairs corresponds to the graph?

Answers

Answer:

Option 3rd is correct

Step-by-step explanation:

(1,-6),(2,-4),(2,-2),(4,-2),(6,0)

The third option is correct

A(1,-6)
B(2,-4)
C(2,-2)

An elephant can travel 30 km in 2 hours. How fast is the elephant moving?

Answers

15 kilometers per hour
The elephant is moving at 15 km per hour

Explain why 2/3 x 12 can be written as 2 x 12 divided by 3.

Answers

Answer and Step-by-step explanation:

[tex]\frac{2}{3}[/tex] × 12 can also be written as [tex]\frac{2 * 12 }{3}[/tex] because the 12 is multiplying the numerator of the fraction.

12 can also be written as [tex]\frac{12}{1}[/tex].

When we solve, this is what is happening:

[tex]\frac{2}{3}[/tex] × [tex]\frac{12}{1}[/tex]

The 12 will be multiplying the 2, while the 1 will be multiplying the 3. Because 3 times 1 is 3, we don't show the 1. So, that can leave us with 2 being multiplied by 12 in the numerator.

#teamtrees #PAW (Plant And Water)

Answer:

I don't know, other than because it's the same thing and it just can.

Step-by-step explanation:

2 x 12 ÷ 3 is longer when written out but it is simpler to solve.

X-2 is a factor of f(x) = x3 – 2x2 + ax +
+18. State the remainder when f(x) divided
by x-9.

Answers

Answer:

answer is in the picture above

Answer:

remainder: 504

Step-by-step explanation:

x³ – 2x² + ax +18 = x²(x-2) - 9*(x-2)

a = -9

(x³ – 2x² - 9x +18) / (x-9) = (x² +7x + 54)(x-9) + 504   ... long division

Muhammad Ali Jinnah Story​

Answers

Answer:

Muhammad Ali was one of the greatest boxers in history, the first fighter to win the world heavyweight championship on three separate occasions. In addition, he was known for his social message of black pride and black resistance to white domination and for refusing induction into the U.S. Army during the Vietnam War.His quickness and mobility was a His quickness and mobility was a revelation in the 1960s; big men simply did not move like that. His amazing speed and reflexes allowed him to introduce a level of artistry and elegance to heavyweight boxing which changed the public's perception of the sport and pioneered new tactics and techniques.revelation in the 1960s; big men simply did not move like that. His amazing speed and reflexes allowed him to introduce a level of artistry and elegance to heavyweight boxing which changed the public's perception of the sport and pioneered new tactics and techniques.

Determine the measure of angle BZC.

Answers

Answer:

70 degrees

Step-by-step explanation:

Angle BZA = Angle BZC = 20 degrees

Reason : These two angles are Vertically opposite angles.

Angle BZA + Angle BZC = 90

20 + Angle BZC = 90

Angle BZC = 90 - 20

Angle BZC = 70 degrees

A triangle with coordinates (-5,2) (4,3) and (2,-5) is rotated 180 degrees clockwise

Answers

Answer:

B

Step-by-step explanation:

In a 180° rotation, the signs for both the x and y values are changed.

which angle corresponds to <OJH​

Answers

Answer:

line parallel to OJ or JH

(3-97)(3+9)=
(Simplify your answer. Type your answer in the form a +bi.)

Answers

Answer:

-1128

Step-by-step explanation:

-1128 is the answer just sayin ya lol

The stadium has fixed expenses of $10,000 per event. Last month it put on three major events and spent $72,000, $47,500, and $65,000 in advertising for them respectively. According to the accountant, these events earned a total of $482,000 in revenue. What was the stadium's profit margin last month?

Answers

Answer:

267,500

Step-by-step explanation:

10,000 × 3 = 30,000

30,000 + 72,000 + 47,500 + 65,000 = 214,500

482,000 - 214,500 =267,500

The stadium's profit margin last month was 267,500 dollars.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that stadium has fixed expenses of $10,000 per event.

Since it put on three major events and spent $72,000, $47the,500, and $65 this event raising for them last month respectively

Thus,

10,000 × 3 = 30,000

Total = 30,000 + 72,000 + 47,500 + 65,000 = 214,500

According to the accountant, total amount these event earned ;

$482,000 in revenue.

So,

482,000 - 214,500 =267,500

Hence, the stadium's profit margin last month was 267,500 dollars.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ6

Perform the indicated operations and reduce to lowest terms. Assume that no denominator has a value of zero. ​

Answers

Answer:

[tex]\frac{x}{9}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]

Required

Solve

[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]

Change the division to multiplication

[tex]\frac{x^2 - 9}{9x + 27} * \frac{x}{x - 3}[/tex]

Apply difference of 2 squares

[tex]\frac{(x - 3)(x+3)}{9x + 27} * \frac{x}{x - 3}[/tex]

Cancel out x - 3

[tex]\frac{x+3}{9x + 27} * \frac{x}{1}[/tex]

Factorize 9x + 27

[tex]\frac{x+3}{9(x + 3)} * \frac{x}{1}[/tex]

Cancel out x + 3

[tex]\frac{1}{9} * \frac{x}{1}[/tex]

Finally, this gives:

[tex]\frac{x}{9}[/tex]

Raj rides his bike for 3.4 miles. What is the length of Raj's bike ride in feet? Enter your answer in the box.

Answers

Answer:

Hey there!

I belive the answer is 17952 ft

which if you multiply 3.4 miles x 5280 is equal to 17952 ft.

Hope this can help! Please correct me if im wrong!

What is the area of the figure . Round to the nearest tenth.

Answers

Answer: its 40.0 m²

Step-by-step explanation:

A=wl=4·10=40.0 m²

your welcome

Answer:

the answer is D

Step-by-step explanation:

Someone help me with the question please

Answers

Answer:

1. 1/6

2. 10/36

3. 1/12

Step-by-step explanation:

Answer:

What question do you need help with?

Step-by-step explanation:

Andy, Fergus, Evelyn, and Margaret are collecting cans for recycling. Before lunch, they have collected a total of 173 cans. At the end of the day, the total number of cans collected can be represented by the expression 173 1 n. What could the variable n in the expression represent if you know Margaret collected some cans in the afternoon?

Answers

Answer:

hm

Step-by-step explanation:

Answer:

N would represent days

Step-by-step explanation:

the question says at the end of the day

plssssss helppp last diagnostic​

Answers

Answer:

9/20 square miles

Step-by-step explanation:

9/10× 1/2= 9/20 square miles

Find the slopes of the lines containing the following. (If an answer is undefined, enter UNDEFINED.)
a)
b)
c)
d)
e)
f)

Answers

Answer:

Step-by-step explanation:

a)  

m = y2-y1 / x2-x1

P1 = (3,-4)  as (x1,y1)

P2= (5,6)  as (x2,y2)

m = 6-(-4) / 5 - 3)

m = 6+4 / 2

m = 10 / 2

m = 5

b)

m = y2-y1 / x2-x1

P1 = (5,-3)  as (x1,y1)

P2= (5,6)  as (x2,y2)

m= 6-(-3) / 5-5

m = 6+3 / 0    ( the world blows up when  you divide by zero :0  undefined )

c)

m = y2-y1 / x2-x1

P1 = (1,-1)  as (x1,y1)

P2= (8,-8)  as (x2,y2)

m = -8-(-1) / 8-1

m = -8+1 / 7

m = -7 / 7

m = -1

d)

m = y2-y1 / x2-x1

P1 = (-2.8,2)  as (x1,y1)

P2= (-1.2,2)  as (x2,y2)

m = 2-2 / a number     0 because the numerator is 0 and there is a number in the denominator

e)

m = y2-y1 / x2-x1

P1 = (c,d)  as (x1,y1)

P2= (e,f)  as (x2,y2)

m = f-d / e-c     that's all you can do until we're given those variables

f)

m = y2-y1 / x2-x1

P1 = (0,c)  as (x1,y1)

P2= (d,0)  as (x2,y2)

m = 0-c / d-0

m = -c /d

PLEASE HELP Find
y, such that ABC ~ DEF.

Answers

Answer:

[tex]y =12[/tex]

Step-by-step explanation:

Given

ABC similar to DEF

Required

Find y

To do this, we make use of the following equivalent ratios.

[tex]AB : AC = DE : DF[/tex]

Using the values in the attachment, we have:

[tex]9 : 18 = 6 : y[/tex]

Express as fraction

[tex]\frac{9 }{ 18 }= \frac{6 }{ y}[/tex]

[tex]\frac{1 }{2 }= \frac{6 }{ y}[/tex]

Solve for y

[tex]y = 6 * 2[/tex]

[tex]y =12[/tex]

Find the volume of the composite solid shown in figure

Answers

Answer:

113.14cm^3

36π cm^3

Step-by-step explanation:

the composite solid is made up of a cylinder and a hemisphere

volume of solid = volume of cylinder + volume of hemisphere

volume of a cylinder = nr^2h

n = 22/7

(22/7) x (3^2) x 2 = 56.57 cm^3

or in terms of pi = 18π

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

(2/3) x (22/7) x (3^3) = 56.57 cm^3

or in terms of pi = 18π

volume of solid = 56.57 cm^3  x 2 = 113.14cm^3

or 18π x 2 = 36π cm^3

56.57

Select the correct answer. Which of these is a key feature of an experimental study? A. The treatment in the experiment should be simple enough for each individual in the experimental group to understand. B. The treatment in the experiment must vary for each individual in the experimental group. C. The treatment in the experiment must be applied to each of the individuals in the experimental group. D. The treatment in the experiment should be short so that each individual is tested quickly.

Answers

Answer:

C. The treatment in the experiment must be applied to each of the individuals in the experimental group.

Step-by-step explanation:

Experimental studies are the studies in which the researcher introduced the intervention and the impact of the study. It usually randomized.

Moreover, it must be applied for each and every individual in the experimental group as the variables & conditions would be vary and the same would be applied so that the actual results may be concluded

Hence, the option c is correct

Find an expression which represents the sum of (8x+10y) and (-4x-3y) in simplest form

Answers

Answer:

An algebraic expression is an expression which consists of variables, coefficients, constants, and mathematical operators such as addition, subtraction, multiplication and division. Generally, if two things are the same, then it is called equivalent.

Step-by-step explanation:

The supermarket sells juice in 16- and 32-ounce bottles. If Warren wants to bring home 144 ounces of juice in 7 separate bottles, which system of equations should he solve to determine how many 16- and 32-ounce bottles to buy? (Let x represent the number of 16-ounce bottles and y represent the number of 32-ounce bottles.)

A. 32x+16y=144 x+y=7
B. 16x+32y=144 x+y=7
C. 32x+16y=144 x+y=144
D. 16x+32y=7 x+y=32

Answers

The correct answer should be approximately letter b) 16x+32y=144 x+y=7

The pitch P of a musical tone varies inversely as its wavelength w. One tone has
a pitch of 321 vibrations per second and a wavelength of 10.5 feet. If another
tone has a pitch of 374 vibrations per second, what is its wavelength?

Answers

Answer:

The wavelength of the second pitch is 12.23 feet.

Step-by-step explanation:

Since the pitch P of a musical tone varies inversely as its wavelength w, and one tone has a pitch of 321 vibrations per second and a wavelength of 10.5 feet, if another tone has a pitch of 374 vibrations per second, to determine what is its wavelength the following calculation must be performed:

321 = 10.5

374 = X

374 x 10.5 / 321 = X

3927/321 = X

12.23 = X

Therefore, the wavelength of the second pitch is 12.23 feet.

Inez carved a wooden cone from a
cylindrical piece of wood. The cylindrical
piece of wood had a radius of 3 inches
and a height of 15 inches. The cone had
the same radius as the cylinder but was
2 inches shorter. About what volume of
wood did Inez remove from the cylinder to
make the cone?

Answers

Answer:

123 inches³

Step-by-step explanation:

Hi there!

Objective: Find the volume of the cone

We know that the cylinder had a radius of 3 inches and it had a height of 15 inches.

Because the cone had the same radius of the cylinder, we know that it has a radius of 3 inches. And because it was 2 inches shorter, it has a height of 13 inches (15-2=13).

[tex]V=\frac{1}{3} \pi r^2h[/tex]  where r is the radius of the cone and h is its height

Plug in the known information (r=3 and h=13)

[tex]V=\frac{1}{3} \pi (3)^2(13)\\V=\frac{1}{3} \pi (9)(13)\\V=\frac{1}{3} \pi(117)\\V=39\pi\\V=123[/tex]

Therefore, the Inez removed about 123 inches³ of wood from the cylinder to make the cone.

I hope this helps!

1. If the spinner below is spun once, find each
probability.

Answers

Answer:

I don't know what kind of questions is this but first you need to show your spinner

Ajar contains 3 blue marbles and 2 red marbles. A marble is randomly selected from the jar and replaced, and then a second marble is chosen. The probability that a blue marble was chosen both times is %.​

Answers

Answer:

40% probability

Step-by-step explanation:

First, you need to look at the sample space or number of outcomes:

B B B R R

The sample space, or number of outcomes, is 5

If you randomly select one marble and then select another marble after replacing it, you are taking out 2/5 of the marbles in the jar.

B  B  B R  R

1/5 2/5 3/5 4/5 5/5

2/5 can be converted into a percentage by turning it into a decimal:

2/5 = .4

.4 can be converted into a percentage

.4 = 40%

This leaves you with the probability being 40%

Answer: it’s 30%

Step-by-step explanation:

One fourth of the 120 students took wood shop. How many students did not take wood shop?

Answers

Answer:

90 students.

Step-by-step explanation:

Given 1/4 of the 120 students took woodshop, just take the 3/4 that didn't take it:

[tex]\frac{3}{4}(120)[/tex]

Find common factors between 4 and 120 to simplify, so 4.

[tex]\frac{3}{1} (30)[/tex]

Now multiple across to get 90.

A private jet flies the same distance in 14 hours that a commercial jet flies in 7 hours. If the speed of the commercial jet was 181mph less than 3 times the speed of the private jet, find the speed of each jet.

Answers

Answer:

Private Jet = 181 mph      Commercial Jet = 362 mph

Step-by-step explanation:

private jet           travels distance D in 14 hours

commercial jet   travels distance D in 7 hours      

so commercial jet speed is twice the private jet

                    y   =  2x

commercial jet speed = 3 · (private jet speed) - 181 mph

               y  =   3x - 181

                        2x = 3x  - 181

                2x - 3x  = -181

                       -x   =  -181

                         x  =   181

                      y   =  2x

                      y   =   362

          362  =  3(181)  - 181

                       

When rounded to the ten thousands place, which of the numbers below round to 230,000? Select all that apply

Answers

I don’t see the selections.

Here are some examples:
229000–> round 230000
231000–> round 230000

Can you guys help? Last one plzzzz

Answers

I believe the answer is y=-3/4X + 3

Answer:

Step-by-step explanation:

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