A baby carriage that is carrying twins is sitting at the top of a knoll that is 21 m high. The carriage with the babies are 48kg. What is the Potential Energy of the twins and the carriage?

Answers

Answer 1

Answer:

The Potential Energy of the twins and the carriage is 9878.4 J.

Step-by-step explanation:

Given;

height of the knoll above the ground level, h = 21 m

mass of the carriage with the babies, m = 48 kg

The potential Energy of the twins and the carriage is given by;

P.E = mgh

where;

g is the acceleration due to gravity = 9.8 m/s²

Substitute the givens;

P.E = (48)(9.8)(21)

P.E = 9878.4 J

Therefore, the Potential Energy of the twins and the carriage is 9878.4 J.


Related Questions

Use the vertical line test to determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function

Answers

Answer: Its a function

Step-by-step explanation:

Angle W measures 68 degrees more than angle F. Angles Wand
Fare supplementary. What is the measure of angle W?

Answers

Answer: The measure of angle W is 124°.

Step-by-step explanation:

Given: Angles W and  F are supplementary.

We know that the sum of two supplementary angles is 180 degrees.

So, ∠W + ∠F = 180°   (i)

As per given,

∠W = ∠F + 68°   (ii)

Put value of ∠W from (ii) in (i)

∠F + 68°+∠F = 180°  

⇒ 2 ∠F =  180°- 68°

⇒ 2 ∠F = 112°

⇒ ∠F = 56°

From (ii),

∠W = 56° + 68°

⇒ 124°

Hence, the measure of angle W is 124°.

what is 58+67÷34×21-34​

Answers

65.38235294117647 I got this answer
58+67= 125
125 divided by 34 = 3.6764
3.6764 x 21 = 77.2044
77.2044 - 34 = 43. 2044

Branliest to right answer

Answers

Answer
I think it’s the second one but I could be wrong
Explanation

Answer:

the second one

Step-by-step explanation:

hmmmmmmmmmmmm please help uwu

Answers

Answer:

10.50 per hour

Step-by-step explanation:

I divided 26.25 by 2.5 and got 10.5. Hope this helps!

Use the power property to rewrite log3x9.

Answers

Answer:

[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]

Step-by-step explanation:

Given the expression

[tex]\log _3\:x^9[/tex]

now rewriting the expression

[tex]\log _3\:x^9[/tex]

[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]

[tex]=9\log _3\left(x\right)[/tex]

Therefore,

[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]

Answer:

B

Step-by-step explanation:

edge

8. If Alice only has $10 dollars, and she sends 27 text messages, how much data can she use?

Answers

Answer: 37 cents per text message

Answer:

200 mintes

Step-by-step explanation:

C= 5/9(F−32)

The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only

Answers

Answer:is yummy

Step-by-step explanation:1 eat a lot of food. Then you go to the potty. Then you poop and then wipe yourThen you flush the toilet and wash your hands.

i ready algebra help

Answers

Answer:

It is the first one

Step-by-step explanation:

show work and ill give credit

Answers

9514 1404 393

Answer:

  5

Step-by-step explanation:

To solve the inequality, we can do the following.

  4.55g + 8.50 ≤ 35 . . . given

  4.55g ≤ 26.50 . . . . . . subtract 8.50 from both sides

  g ≤ 5.82... . . . . . . . . . . divide both sides by 4.55

The number of games must be an integer value, so the maximum number of games they can bowl is 5.

7925 divided by 25 can you help

Answers

Answer:

317

Step-by-step explanation:

hope this helped:))))))

Answer:317Step-by-step explanation:25 x 317 = 7925Hope this helps!!

Use the 3 trig ratios to find each unknown side length. Round all answers to 1 decimal

Answers

Note: As you missed to add the graph of mentioning the complete question.

So, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.

Answer:

Please check the explanation!

Step-by-step explanation:

Given the attached graph below, it is clear that the right angle triangle ABC is shown.

Here are some of the information we can get from the right angle triangle ABC such as:

The angle at C = 30°side AB = 8 units

We have to determine the unknown side 'x' using the trigonometric ratios

As

tan Ф = opp/adjacent

From the diagram it is clear that

Ф = 30°

opp=8

adjacent = BC = x

so

tan Ф = opp/adjacent

tan 30 = 8/x

1/√3 = 8/x

x = 8×√3

x = 13.9

Therefore, the missing length will be: x = 13.9

Scenarios can be translated into

Answers

Answer:

can you please describe it more

Step-by-step explanation:

14. Veronica is choosing between two health clubs.
After how many months will the total cost for
each health club be the same?
Yoga Studio
Yoga Studio A
Membership 522.00
Monthly Fee $24.50
Membership 547.00
Monthly Fee $18.25

Answers

Answer:

The total cost for  each health club would be the same after 4 months.

Step-by-step explanation:

Answer:

The total cost for  each health club will be the same after 4 months.

Step-by-step explanation:

For studio A:

Membership fee = $22.00

Monthly Fee = $24.50

The equation for studio A:

A = 22 + 24.5x

For studio B:

Membership fee = $47.00

Monthly Fee = $18.25

The equation for studio B:

B = 47 + 18.25x

Let 'x' be the month of membership

We must have to find the value of month or 'x' for which the total cost at each health studio is the same.

i.e. when A = B

Hence, the expression will be

A = B

22 + 24.5x = 47 + 18.25x

Please note that if we put x=4, the L.H.S and R.H.S of the equations become the same

i.e.

22 + 24.5(4) = 47 + 18.25(4)

      22 + 98 =  47 + 73

         120 = 120

so, at x=4 the equations become the same.

Therefore, the total cost for  each health club would be the same after 4 months.

A company makes a very durable product. The company sells 20,000 products in the first year but will be diminishing sales due to the product's durability, so each year it can expect to sell only 75% of the quantity it will have sold the year before. How many products can the company expect to eventually sell?

a. 26,667 products
b. 40,000 products
c. 80,000 products
d. 35,000 products

Answers

Answer:

c. 80,000 products

Step-by-step explanation:

Year 1 = 20000

20000 * 0.75 = 15000

Year 2 = 15000

15000 * 0.75 = 11250

Year 3 = 11250

11250 * 0.75 = 8437.5

Etc.

20000 + 15000+ 11250 + 8437.5 = 54687.5

If you continue this, you'll eventually reach 80000

80000 products can the company expect to eventually sell.

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

Given,

The company sells 20,000 products in the first year

a=20000

each year it can expect to sell only 75% of the quantity it will have sold the year before

r=75/100=0.75

Sum of Geometric sequence S=a/1-r

S=20000/1-0.75

S=20000/0.25

S=80000

Hence, 80000 products can the company expect to eventually sell.

To learn more on Sequence click:

https://brainly.com/question/21961097

#SPJ5

what is order of operations for 20-5x2+6

Answers

Answer:

multiply, add, then subtract so your answer should be 4

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

(please excuse my dear aunt sally)

Appropriate Inverse Operation
Which would be used to solve this equation? Check all that apply.
=12
3
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution
*
Intro

Answers

Multiplying both sides of the equation by 3 and substituting 4 for p

13. Find the slope of any PLZ HELP!!!! 13. Find the slope of any line parallel to the line passing through (1,5) and (-1,0).
a. 5/2
b. 2/5
c. -5/2
d. -5/2

Answers

Answer:

a

Step-by-step explanation:

5- 0 = 5

1- -1 = 2

5/2

The answer might be B. I’m not entirely sure.

An electronics store has a current inventory of 50 stereo systems. The lowest priced stereo system in the store sells for $800, The lowest priced stereo system in the store sells for 800 dollars, and the highest priced stereo system sells for $3000. and the highest priced stereo system sells for 3000 dollars. Which of the following is the maximum amount of $3000 systems on hand Which of the following is the maximum amount of 3000 dollar systems on hand if the current inventory totals $111,000?

The answer is 32, I need an explanation how to find the answer.

Answers

B) 32

Explanation:

let H = number of expensive high price stereo

systems

let L = number of less expensive low price

stereo systems

H +L = 50 =

3,000H + 80OL = 110,000

H = 50 - L (now replace)

3,000 (50 - L) + 800 L = 110,00

150,000 - 3,000L + 800L = 110,000

150,000 - 110,000 = 3,000L - 800L =

40,000 = 2,2OOL

L = 40,000 / 2,200 = 18.18 = 18 lower priced = =

stereo systems H = 50 - 18 = 32 higher priced stereo systems

=

=

(3,000 x 32) + (800 x 18) = 96,000 + 14,400 = 110,400

Even though the answer is not exact, if you had 33 high cost stereo systems, your inventory's cost = $112,600 which is $1,600 off

A scuba diver is swimming at an elevation of 52 feet below sea level. She sees it'school of fish and rises 16 feet to watch the fish. What is her elevation now?​

Answers

-46

52-16=negative 46 because shes still below sea level

Answer:

36 feet below sea level.

Step-by-step explanation:

if you subtract 52 by 16 you'd get 36. See for yourself.

Plz help it would mean a lot

Answers

Answer:

proportional/equal

Step-by-step explanation:

doesnt need

(3 X 10^2) (3 X 10^3)
Answer pls

Answers

300 is the first one I think

Answer:

900000

Step-by-step explanation:

= (3 x 10 ^ 2) (3 x 10 ^ 3)

= (3 x 100) (3 x 1000)

= (300) (3000)

= 900000

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Solve
44 - 3 (30 - 22) + 1/2 (66 - 88)

Answers

Answer:

59 1/2

Step-by-step explanation:

first, distribute
44 - 90 - 66 + 33 - 44
now just add/subtract from left to right

-46 - 66 + 33 - 44
-112 + 33 - 44
-79 - 44
-123

the answer is -123


Factor completely: y6 - 1.

Answers

Answer:

(y times 6) -1

Step-by-step explanation:

I don't know what to say it is already simplified

1. Vocabulary Define opposites.​

Answers

Answer:

Opposite means: im going to do something but in "reverse" like opposite day.

Step-by-step explanation:

Use binomial expansion to solve each exercise. (a) Find the coefficient of xy19 in (3x − 2y) 20.(b) Give a formula for the coefficient of x k in (x+1/ x) n .

Answers

9514 1404 393

Answer:

  (a) -29,884,416

  (b) C(n,(n -k)/2) . . . where C(n,k) = n!/(k!(n-k)!) and k ∈ ℕ

Step-by-step explanation:

(a) The coefficient of the k-th term of the expansion is ...

  C(20,k)(3x)^(20-k)(-2y)^k

For k=19, this is ...

  19(3x)(-2y)^19 = -29,884,416xy^19

The coefficient of the term is -29,884,416.

__

(b) The p-th term of the expansion of (x +1/x)^n is ...

  C(n,p)(x^(n-p)(1/x)^p = C(n,p)(x^(n-2p))

For some exponent k of x, the value of p will be ...

  k = n -2p

  p = (n -k)/2

Then the coefficient of x^k will be C(n, (n-k)/2), where C(n, x) = n!/(x!(n-x)!).

You will notice that there will only be a term x^k for k having the same parity as n.

Please help I need these quickly. Please answer sensibly! I will give brainliest to the correct answer.

Answers

Answer:

n+n= 2n

[tex](3n) ^{2} = 9n ^{2} [/tex]

5(n+2)=5n+10

2(n+1)=2n+1

[tex]n \div 4 = \frac{n}{4} [/tex]

[tex]n(n - 2 = n{2} - 2n[/tex]

Any hypothesis that an analyst has accepted to be true and which forms the basis of an assessment is a: ______

Answers

Answer:

The correct answer is the alternate hypothesis.

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.  

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

For instance, H₀: µ = µ₀, where µ₀ is some null value or some claimed value.

Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.

The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.

It is also known as the research hypothesis and is denoted by Hₐ.

Thus, the correct answer is the alternate hypothesis.

The measure of angel B is (3x - 4)º and the measure of angel D is (2x - 6)°. What are the measures of angles B and D?​

Answers

Answer:

b=110 d=70

Step-by-step explanation:

Answer:

110 70

Step-by-step explanation:

Write 2/3 as a decimal and round to 3 significant figures

Answers

Answer:

0,66

Step-by-step explanation:

You can put it into a calculator, that might be just as helpful and less time-consuming, because 2/3 is the same as 2÷3

Answer:

0.667

Step-by-step explanation:

[tex]\frac{2}{3} =0.6666666666666666[/tex]

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