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

Answers

Answer 1

Answer:

5.76 seconds

Step-by-step explanation:

We are given;

Position of rock from ground level; h(t) = 9 m

Height of cliff;h_0 = 45 m

Velocity;v_0 = 22 m/s

To solve for the time, we will use the gravity formula which is;

h(t) = (-1/2)gt² + (v_0)t + h_0

Plugging in the relevant values to get;

9 = (-1/2)(9.81)t² + 22t + 45

Subtract 9 from both sides to get;

-4.905t² + 22t + 45 - 9 = 0

-4.905t² + 22t + 36 = 0

Finding the roots of the equation through quadratic formula gives;

t = 5.76 or -1.27

t cannot be negative, so we will use the positive value to get;

t = 5.76 s

Thus, the rock will be 9m from the ground level after 5.76 seconds


Related Questions

whats is the answer for 2y-x=5

Answers

Hope this helps you out :)

Answer:

That's the answer in the photo.

- Use your ruler and protractor to draw an isosceles obtuse triangle ZAP with and vertex angle B. base angles A and Z.​

Answers

Answer:

In the diagram, the obtuse isosceles is what you need.

For your problem, the angle F is the vertex angle B

The base angles A and Z go on both sides.

Step-by-step explanation:

Can someone help me on this?

Answers

I believe the difference is 5 degrees Fahrenheit.

2. Estimate the sum. Choose the mixed number that is closest to the estimate. 5.5 + 4.2

Answers

Answer:

9 9/10

Step-by-step explanation:

10

55/10 +42/10=97/10=9 7/10

help with number 14! it’s due tomorrow.

Answers

Answer:

23 is you number move it that many times right see what it gives you

Step-by-step explanation:

find h(-4 ) given h(x)=3x2 +2x -16​

Answers

Answer:

2x-10

Step-by-step explanation:

3x2+2x-16

6+2x-16

2x-10

2.2.115

The per capita (per person) income from 1980 to 2010 can be modeled by

f(x) = 2000(X – 1980) + 10,000

where x is the year. Determine the year when the per capita income was $18,000.

The per capita income was $18,000 in the year N.

Answers

Answer:

X= 1984

Step-by-step explanation:

f(x) = 2000(X – 1980) + 10,000

Where,

f(x)= per capita income

x= year

Find x when f(x)= $18,000

f(x) = 2000(X – 1980) + 10,000

18,000 = 2000(X - 1980) + 10,000

18,000 = 2000X - 3,960,000 + 10,000

18,000 = 2000X - 3,950,000

Add 3,950,000 to both sides

18,000 + 3,950,000 = 2000X

3,968,000 = 2000X

Divide both sides by 2000

X= 3,968,000 / 2000

= 1984

X= 1984

Therefore, the per capita income was $18,000 in the year 1984

Solve for a
2(a+5)=-2 Steps too please ❤️

Answers

Answer:

a=-6

Step-by-step explanation:

2(a+5)=-2 Step 1 distribute

2a+10=-2 Step 2 minus 10 on both sides

2a=-12      Step 3 divide but 2 on both sides

a=-6

Answer:

a=-6

Step-by-step explanation:

In order to solve for a, we must isolate a on one side of the equation.

[tex]2(a+5)=-2[/tex]

2 is being multiplied by (a+5). The inverse of multiplication is division. Divide both sides of the equation by 2.

[tex]2(a+5)/2=-2/2[/tex]

[tex](a+5)=-2/2[/tex]

[tex](a+5)=-1[/tex]

5 is being added to a. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.

[tex]a+5-5=-1-5[/tex]

[tex]a=-1-5[/tex]

[tex]a=-6[/tex]

Let's check our solution. Plug -6 in for a and solve.

[tex]2(a+5)=-2[/tex]

[tex]2(-6+5)=-2[/tex]

[tex]2(-1)=-2[/tex]

[tex]-2=-2[/tex]

This checks out, so we know our solution is correct.

The solution to the equation 2(a+5)=-2 is a=-6

-1 1/5 + -3/5 in simplest form

Answers

Answer:

-1 4/5

Step-by-step explanation:

In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction 3  5, the numerator is 3, and the denominator is 5. A more illustrative example could involve a pie with 8 slices. 1 of those 8 slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be 5  8 as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below.

Point T is on line segment \overline{SU} SU . Given ST=2x+6,ST=2x+6, TU=4,TU=4, and SU=4x,SU=4x, determine the numerical length of \overline{ST}. ST

Answers

Answer: The numerical length of  [tex]\overline{SU}[/tex] is 20 units.

Step-by-step explanation:

Given: Point T is on line segment [tex]\overline{SU}[/tex] .

i.e. [tex]\overline{SU}=\overline{ST}+\overline{TU}[/tex]             (i)

Since , it is given that ST=2x+6,TU=4, and SU=4x

Substitute these values in (i), we get

[tex]4x= 2x+6 + 4\\\\\Rightarrow\ 4x-2x=10\\\\\Rightarrow\ 2x=10\\\\\Rightarrow\ x=5[/tex]

Now, the numerical length of [tex]\overline{SU}= 4(5)=20\ units[/tex]

Hence, the  numerical length of  [tex]\overline{SU}[/tex] is 20 units.

Answer:

Step-by-step explanation:

ST = 16

HURRY!!!! Right now, Molly is twice as old as Nancy. Zander is 6 years younger than Molly. Which expression represents Molly’s current age in

terms of Nancy’s? Which expression represents Molly’s current age in

terms of Zander’s? Nancy is currently 10 years old, and Zander is 14. How old is Molly?

Answers

Answer:

:)

Step-by-step explanation:

Let 'N' rep. Nancy's age

Let 'M' rep. Molly's age

1) 2N

2) M - 6

3) 2(10) = 20

therefore, Molly is 20

M = 20

M - 6 = 14 (Zander's age)

Answer:

Which expression represents Molly’s current age in terms of Nancy’s?

Answer: 2n

Which expression represents Molly’s current age in terms of Zander’s?

Answer: z plus 6

Nancy is currently 10 years old, and Zander is 14. How old is Molly?

Answer: 20 years old

Just did the assignment and got a 100, edge 2021

Hi Geovannie, when you submit this form,
Required
1. Solve the equation:
-(1+4x)=4(1-x)-5*
(5 Points)

Answers

Steps to solve:

-(1 + 4x) = 4(1 - x) - 5

~Distribute both sides

-1 - 4x = 4 - 4x - 5

~Combine like terms on the left side

-1 - 4x = -1 - 4x

~Add 4x to both sides

-1 = -1

~Add 1 to both sides

0 = 0

Therefore, all real numbers are solutions.

Best of Luck!

Determine the value of the expression given above.

Answers

Answer:

-44

Step-by-step explanation:

A student artist randomly selected two media from among: charcoal sketches, pencil drawings, and oil paintings, and then submitted all of her works in that media for a gallery showing.

Answers

Complete question is;

A student artist randomly selected two media from among: charcoal sketches, pencil drawings, and oil paintings, and then submitted all of her works in that media for a gallery showing. Identify the kind of sample that is described.

Answer:

Cluster sample

Step-by-step explanation:

Looking at the question, we can see that the media has already been grouped into 3 parts namely charcoal sketches, pencil drawings, and oil paintings. It has already been grouped into multiple groups for easy selection or identification.

Now this type of grouping is synonymous with cluster sampling because cluster sampling is a probability sampling technique in which the researchers divide the population into multiple groups known as clusters for research and this question clearly shows that the media has been grouped.

1.08 x 10^-3 in standard form?

Answers

AnswerTo the following subject of 1.08×10 in standard form you have to calculate the radius in yet to find the perimeter

round the following number to 2 decimal places 17.422

Answers

Answer:

17.42

Step-by-step explanation:

Because the third place is less than 5 you have to round it to smaller number and that is 2.

If by any chance the third number was for example six you would have to round it to 3.

6x + 2 = 9x - 4 help me please

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

6x + 2 = 9x - 4

We want terms with x on the left side and numbers on the right side.

Subtract 9x from both sides.

6x - 9x + 2 = 9x - 9x - 4

-3x + 2 = -4

Subtract 2 from both sides.

-3x + 2 - 2 = -4 - 2

-3x = -6

Divide both sides by -3.

-3x/(-3) = -6/(-3)

x = 2

3. The volume of a cylinder is V = trh. If the radius of the cylinder is 1.5 feet and the height is 2.7 feet, what is the volume of the cylinder? (Use 3.14 for pi.)
28.6 cubic feet
6.1 cubic feet
12.7 cubic feet
19.1 cubic feet

Answers

Answer:

the volume of the cylinder = 19.08 ft³

Step-by-step explanation:

given:

If the radius of the cylinder is 1.5 feet and the height is 2.7 feet,

find:

what is the volume of the cylinder? (Use 3.14 for pi.)

Volume of a cylinder = π r² h

where π = 3.14

radius (r) = 1.5 ft.

height (h) = 2.7 ft.

plugin values into the formula:

V = π r² h

V = 3.14 (1.5)² 2.7

V = 19.08 ft³

therefore,

the volume of the cylinder = 19.08 ft³

what are the coordinates of the midpoint of the line segment with endpoints (2,5) and (4,-7)

Answers

Answer:

(3, -1)

Step-by-step explanation:

Let A be the midpoint and (x,y) its coordinates

● x = (2 + 4)/2 = 6/2 = 3

● y = (5 +(-7))/2 = -2/2 = -1

So the coordinates are (3, -1)

I really need help on this ;-;

Answers

It should be 63 degrees bc angle BCD is equal to angle ADE due to what is known u can infer this-> hence 180 degrees makes up the interior angles of a triangle so 180- 53=126 and u divide that by two bc of the two bottom angles and get 63. :)) hope this helps

18. A shelf holds fewer than 50 cans. If all of the
cans on this shelf were put into stacks of
five cans each, no cans would remain. If the
same cans were put into stacks of three cans
each, one can would remain. What is the
greatest number of cans that could be on
the shelf?​

Answers

Answer:

40

Step-by-step explanation:

Given that the number of cans are fewer than 50.

Let the number of cans = [tex]x[/tex]

It is given that no cans remain if they are put in the stacks of five cans each.

i.e. number of cans are a multiple of 5.

Let us have a look at the numbers in decreasing order which are multiples of 5 and are lesser than 50.

45, 40, 35, 30, ......

Now, let us check the numbers one by one.

If [tex]x=[/tex] 45,

Now, they are placed on stacks of three each and one can remains.

So, the remainder when [tex]x[/tex] is divided by 3 will be 1.

But when 45 is divided by 3, remainder is 0.

Now, let us check next greatest number, which is 40.

When 40 is divided by 3, the remainder is 1.

Therefore, greater number of cans can be 40.

(I WILL MARK AS BRAINLIEST PLS OPEN I RLLY NEED TO KNO PLSSS) a hot air balloon is 10 meters above the ground and rising at a rate of 15 meters per minute. another balloon is 150 meters above the ground and descending at a rate of 20 meters per minute. when will the two balloons meet? i really need to know im super confused and also use the either the substitution method or the elimination method to solve this word problem PLSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

After 4 minutes

Step-by-step explanation:

Balloon 1

Initial position = 10 mRise rate = 15 m/min

Balloon 2

Initial position = 150 mDrop rate = 20 m/min

Time required for the balloons to meet = x

After x minutes the first balloon will be at position:

10 + 15x

And the second balloon will be at position:

150 - 20x

Since they meet after x minutes, their position must be same:

10 + 15x = 150 - 20x15x + 20x = 150 - 1035x = 140x = 140/35x = 4 minutes

So the balloons will meet after 4 minutes

2. Miss. Mead pays Miss. Brown $125.00 per week. How much money must Miss. Brown take in for

services if Miss. Mead is to realize $50.00 profit on her work? (Conditions on salary are the same

as in problem 1)

ODS

a. $275.00 b. $325.00 c. $250.00 d. $300.00

Answers

The question is incomplete:

1. A cosmetologist must double his/her salary before the employer con realize any profit from  his/her work,  Miss, Mead paid Miss, Adams $125,00 per week to start.

2. Miss. Mead pays Miss. Brown $125.00 per week. How much money must Miss. Brown take in for  services if Miss. Mead is to realize $50.00 profit on her work? (Conditions on salary are the same  as in problem 1)  

ODS

a. $275.00 b. $325.00 c. $250.00 d. $300.00

Answer:

d. $300.00

Step-by-step explanation:

Given that a cosmetologist must double her salary before the employer can realize any profit from  his/her work, for Miss. Mead to realize $50.00 profit on her work, you would have to determine the amount that doubles the salary of the cosmetologist and add the $50 needed as profit:

Salary= $125*2=$250

$250+$50= $300

According to this, the answer is that for Mead to realize $50.00 profit on her work, Miss. Brown must take $300.

What is 5+x+11x=11x+11

Answers

Answer:

x = 6

Step-by-step explanation:

Solve for x:

11 x + x + 5 = 11 x + 11

Hint: | Add like terms in 11 x + x + 5.

x + 11 x = 12 x:

12 x + 5 = 11 x + 11

Hint: | Move terms with x to the left hand side.

Subtract 11 x from both sides:

(12 x - 11 x) + 5 = (11 x - 11 x) + 11

Hint: | Combine like terms in 12 x - 11 x.

12 x - 11 x = x:

x + 5 = (11 x - 11 x) + 11

Hint: | Look for the difference of two identical terms.

11 x - 11 x = 0:

x + 5 = 11

Hint: | Isolate terms with x to the left hand side.

Subtract 5 from both sides:

x + (5 - 5) = 11 - 5

Hint: | Look for the difference of two identical terms.

5 - 5 = 0:

x = 11 - 5

Hint: | Evaluate 11 - 5.

11 - 5 = 6:

Answer: x = 6

Answer:

x = 6

Step-by-step explanation:

5 + x + 11x = 11x + 11

5 + 12x = 11x + 11

5 + 1x = 11

1x = 6

x = 6

simply the question please​

Answers

Answer:  -2²¹

Step-by-step explanation:

Convert each term into a power of 2.

Use the product rule of adding the exponents and the quotient rule of subtracting the exponents.

[tex]\dfrac{(-2)^3\times 4^4}{16^{-1}\times 8^{-2}}\quad =\dfrac{(-1)^3(2)^3(2)^{2(4)}}{(2)^{4(-1)}(2)^{3(-2)}}\qquad =-1^3\bigg(\dfrac{2^32^8}{2^{-4}2^{-6}}\bigg)[/tex]

[tex]=-1(2^{3+8-(-4)-(-6)})\qquad =-1(2^{3+8+4+6})\qquad =-2^{21}[/tex]

Answer:

-2^21

Step-by-step explanation:

(-2)^3*4^4=-8*(2^2)^4=-1*2*4*2^8=-1*2^9*2^2=

=-1*2^11

(16)^-1*8^-2=2^-4*2^-6=2^-10

-1*2^11/2^-10=-1*2^11*2^10=-2^21

Which would the phrase "two times the quotient of a number and 3" look like as a variable expression? 3n2 3(n−2) 2n3 2(n−3)

Answers

Answer:

the answer here would be 2(n-3)

Step-by-step explanation:

I think the answers 2(n-3)

23,579
38,743
65,559
+66.559

Answers

Answer:

194,440 or 127,947.559

Step-by-step explanation:

if that's supposed to be a comma on 66.559 then the answer is 194,440. If not it's 127,947.559.

You have a bag with 30 fireballs and another bag with 42 jolly ranchers. For a party, you want to repackage the candy into smaller bags, and you want each bag to have the same number of fireballs and jolly ranchers and. How many bags will you be able to make without any leftover?

Answers

ANSWER: 13




I just added and the dividend lol
for every 5 fireball, there is 7 jolly ranchers

Solve for y. I REALLY NEED HELP ON THIS!! 2(3y+6x)=2(5y-2x)

Answers

Answer:

y = 4x

Step-by-step explanation:

2(3y + 6x) = 2(5y - 2x)

Divide both sides by 2.

3y + 6x = 5y - 2x

Subtract 5y from both sides. Add 2x to both sides.

-2y = -8x

Divide both sides by -2.

y = 4x

Solve the equation for x.

Answers

answer:

x=-2

Step-by-step explanation:

my suggestion for this problem and all problems like it would to turn everything into 6ths. 1/3 would become 2/6. and 2 would become 12/6. leave the negatives. now you'll add 2/6 to -12/6. which will equal 10/6. divide 10/6 by 5/6 and youll get -2. x=-2

Answer:

x = -2

Step-by-step explanation:

● (5/6)x - (1/3) = -2

Add (1/3) to both sides

● (5/6)x - (1/3) + (1/3) = -2 + (1/3)

-2 is (-6/3)

● (5/6)x = (-6/3) + (1/3)

● (5/6)x = -5/3

Move 5/6 to the other side and switch the places of 5 and 6

● x = (-5/3) × (6/5)

● x = -30/15

● x = -2

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