A Cessna 172 plane that is used to transport up to four VIPs is 2 km in the air if the potential energy of the VIP plane with three VIPs on board is 860 J what is the combined mass of the Cessna and passengers

Answers

Answer 1

Answer:

0.0438 kg

Step-by-step explanation:

We are given;

Potential energy; U = 860 J

Height; h = 2 km = 2000 m

Formula for potential energy is;

U = mgh

Where g is acceleration due to gravity = 9.81 m/s²

Thus;

860 = m × 9.81 × 2000

m = 860/(9.81 × 2000)

m = 0.0438 kg


Related Questions

The cost of a taxi ride is represented by the function c(m)=2m +4, where m is the number of miles traveled. Use the graphing tool to graph the function​

Answers

Answer:

So first you must understand what your function represents the 2 is your (slope of the line) the +4 is the y intercept.

So you need to plot a point at (0,4) and then you need to use the slope to go up 2 units over 1 unit. And you need to use the negative of the slope to the left of the point you plotted on the y - int so you need to go down 2 units and left 1.

Hope you understood if you didn't drop a comment and I will try to reply.

5. Paul is x years old.
Rebecca is four times older than Paul.
Gemma is 10 years older than Paul.
the sum of their ages is 82 Years.
(a) Form a simplified equation in terms of x
(b) Solve the equation and work out each persons age.

Answers

Answer:  A) The equation will be     x + 4x + x + 10 = 82   B) Paul's age is 12, Rebecca's age is 48  and Gemma's age is 22.

Step-by-step explanation:

We will represent Paul's age by    the equation  p= x  where p is Paul

We will represent Rebecca's age by the equation  r = 4x  Where r is Rebecca

We will represent Gemma's age by the equation g = x + 10  where g is also Gemma's age.

We given that the sum of their ages is 82 years so meaning that  x + 4x + x + 10  has to equal 82.

A) The equation will be     x + 4x + x + 10 = 82  

Solve for the x equation to find Paul age because his age is x.

B)  (x) + (4x) + (x+10) = 82   combine like terms on the left side

    6x + 10 = 82

           -10    -10

   6x = 72

   x= 12  

Paul age is 12.  

r= 4(12)

r = 48

Rebecca's age is 48.

g= 12 +10

g= 22

Gemma's age is 22.  

Find the product of a^2 (4ab - 6c)

Answers

Answer:

4a^3b − 6a^2c

Step-by-step explanation:

please answeeeerrrrrr

Answers

Hey!

I’m pretty sure the answer is D: 91 light bulbs

Hope this helps :)

a centroid is the intersection of three
1. altitudes in a triangle
2. medians in a triangle
3. angle bisectors in a triangle
4. perpendicular bisectors in a triangle​

Answers

Answer:

medians in the triangle

Step-by-step explanation:

just took the test

A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product B requires 5 board feet of wood and 5 lbs of wicker. Product C requires 4 board feet of wood and 3 lbs of wicker. There are 3000 board feet of wood available for product and 1400 lbs of wicker. Product A earns a profit margin of $35 a unit, Product B earns a profit margin of $42 a unit, and Product C earns a profit margin of $20 a unit. Formulate the problem as a linear program.

Answers

Given:

Product A requires 7 board feet of wood and 4 lbs of wicker.

Product B requires 5 board feet of wood and 5 lbs of wicker.

Product C requires 4 board feet of wood and 3 lbs of wicker.

Available wood = 3000 board feet

Available wicker = 1400 lbs

Profit margin of A = $35 per unit

Profit margin of B = $42 per unit

Profit margin of C = $20 per unit

To find:

The linear programming problem for given situation.

Solution:

Let the number of units produced of products A, B and C are x, y and z respectively.

                                Product A       Product B           Product C      Total

Board feet of wood       7                       5                       4               3000

wicker                            4                       5                        3               1400

Objective function: Maximize [tex]z=35x+42y+20z[/tex]

s.t.,

Board feet of wood  : [tex]7x+5y+4x\leq 3000[/tex]

Wicker : [tex]4x+5y+3x\leq 1400[/tex]

Number of units  cannot be negative. So, [tex]x,y,z\geq 0[/tex].

Therefore, the required LPP is

Maximize [tex]z=35x+42y+20z[/tex]

s.t.,

[tex]7x+5y+4x\leq 3000[/tex]

[tex]4x+5y+3x\leq 1400[/tex]

[tex]x,y,z\geq 0[/tex]

2(8+9)=

qsdffffffffffffffffffffffffff

Answers

Answer:

34

Step-by-step explanation:

16+18 34 should help

Answer:

34

Step-by-step explanation:

2*8=16

9*2=18

16+18=34

Write the equation and slope intercept form: y-4=2(x+3)

Answers

Answer:

y = 2x + 10

Step-by-step explanation:

Remember, slope-intercept form is:

y = mx + b

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

To write the equation in slope-intercept form, we can just solve the equation for slope-intercept form.

y - 4 = 2(x + 3)

Distribute the 2 on the right side.

y - 4 = 2x + 6

Add 4 to both sides.

y = 2x + 10

Notice, now we have the equation in slope-intercept form.

I hope this helps. Happy studying.

6th grade ratios 50 pts

Answers

Answer:

13 milliliters

Step-by-step explanation:

it is 13

i think the answer would be 6.5 milliliters. you would divide 325 cm^3 with 50 cm^3 and you would get 6.5

100204180 translate into words

Answers

Answer:

One hundred million, two hundred, 4 thousand one, hundred eighty

The word form of 100204180 is One hundred million, two hundred, 4 thousand one, hundred eighty.

Given,

100204180 .

Now,

To write the numerical from in the word form,

100204180 = One hundred million, two hundred, 4 thousand one, hundred eighty.

Thus the number is of the range of hundred million.

Know more about word form,

https://brainly.com/question/24618016

#SPJ6

7(9y + 2y – 6) – 9y =

Answers

Answer:

68y-42

Step-by-step explanation:

Answer:

68 y-42

Step-by-step explanation:

RQT is a straight angle. What are mRQS and m​TQS?

Somone help please

Answers

Answer:

RQS=100 & TQS=80

Step-by-step explanation:

add them and set it equal to 180 because it is a straight line

9x+1 + 7x+3 = 180

16x+4=180 (subtract 4 from both sides)

16x=176 (divide 16 from both sides)

x=11 (plug 11 into the angles)

9(11)+1=RQS & 7(11)+3=TQS

only have to solve one of them and subtract it from 180 to get the second angle since they are supplementary

Answer:

RQS=100 & TQS=80

Step-by-step explanation:

add them and set it equal to 180 because it is a straight line

9x+1 + 7x+3 = 180

16x+4=180

16x=176  

x=11  

9(11)+1=RQS & 7(11)+3=TQS

you only have to solve one of them and subtract it from 180 to get the second angle since they are supplementary .

hope this helped!

p.s it would be cool if you gave me brainliest.

What is the equation for calculating portion size?

Answers

Answer:

How to Easily Calculate the Serving Size in Recipes

Weigh the Food. Before you can accurately divide your recipe into servings, you need to know how much it weighs in total. ...

Divide the Recipe into Servings. ...

Calculate Calories. ...

Save the Information.

Step-by-step explanation:

The line y=2x+7 meets at rthe y-axis at A.

Write down the co-ordinates of A​

Answers

Answer:

(0, 7)

Step-by-step explanation:

y = mx + c

c is the y-intercept - where the line crosses the y-axis

polynomial time............

Answers

Answer:

I'm pretty sure its b

Step-by-step explanation:

I plotted each one to make a polynomial graph and b was the one that had the x-intercepts at -6, 1, and 4.

hope this helped a little :))

A delivery driver earns a fixed amount for each delivery she makes, and
yesterday her average hourly wage was $16.50 an hour. If she worked 6 hours
yesterday and made 11 deliveries, how much does she earn for each delivery
made?
O A. $9.90
O B. $9.00
O C. $5.50
O D. $5.00

Answers

Answer:

9 dollars or B

Step-by-step explanation:

16.50 (hourly wage) x 6 (hours worked) = 99 dollars

$99/11 deliveries= 9 dollars per delivery.

the answer your looking for is $9.00 so B hope that helps:)

Can someone please explain how to do this? Iʻm not sure.

Answers

This is the answer hope you get it :)
28 = -7/5y (cross multiply)
28*5 = -7y
140 = -7y (divide both sides by -7)
140/-7 = -7y/-7
-20 = y
y = -20

If a person walks 1/3 of a mile every 1/6 of an hour, what is their speed in miles per hour?

Answers

Answer:

2 mi per hour

Step-by-step explanation:

1/3*6=

6/3= 2

2 mi per hour

Answer:

2mph

Step-by-step explanation:

If a person walks 1/3 of a mile every 1/6 of an hour you divide to solve.

[tex]\frac{\frac{1}{3}}{\frac{1}{6}}[/tex] To solve you flip the bottom and multiply:

[tex]\frac{1}{3} *\frac{6}{1}[/tex] = [tex]\frac{6}{3} = 2[/tex]

The person is walking 2mph

Factor 6(×)^3+43(×)^2+79(×)+12

Answers

The answer is (6x+1)•(x+4)•(x+3)

What is the least common denominator for the fractions 1/6and3/4?

Answers

12.
6 x 2 = 12

4 x 3 = 12

What is the degree of the following polynomial?

Answers

Answer:

4th degree, so option 2

Step-by-step explanation:

the graph has 4 zeros (coordinates where y=0)

The school band played at a festival on tuesday the band started playing at 3:48 pm and stopped playing at 6:38 pm how long did that band play?

Answers

Answer:

rwqrqwrq

Step-by-step explanation:

Answer:

2 hours 50 minutes

Step-by-step explanation:

subtract 3:48 from 6:38

and you get 2 hours 50 minutes.

Triangle A B C is reflected across the line of reflection m to form triangle A prime B prime C prime. Triangle A prime B prime C prime is rotated about point B prime 270 degrees to form triangle A double-prime B double-prime C double-prime.
Which rule describes the composition of transformations that maps ΔABC to ΔA"B'C"?




Answers

Answer:

it is D trust me

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

the way you can figure this out is by looking at the figures and finding what transformation came first because of the number of prime notations on a letter in a figure. in this case is was ABC first then A'B'C' then A''B''C''

using that we can now determine the order of how the composition will be written. the first step of the composition is the left most part and the last part of the composition is the right most part. basicly the order is left to right.

we see that figure ABC is reflected across the line m to create the figure A'B'C' relections are written like r for the relection and the sub letter is the line the figure is reflected across to in this case it would be written as r sub m meaning that r sub m is the 2nd part of the composition.

the 2nd step in the composition is when figure A'B'C' turns into figure A''B''C'' the way we find out its transformation is determine whether it was slid or if it was rotated aroound a point of rotation. here we have a rotation. now we got to determine what the center of roation is. in this case its B'. looking at the options there is no negative -90 degrees which means that the rotation happened counter clockwise because all valuse are positive. counter clockwise is to the left. now simple math figure A'B'C 180 degrees would make it need 90 more degrees so 180+90=270 thats the degree of the roation around point B'

rotations are written as R sub point of rotation, __ degrees. in our case it is r sub B', 270 degrees. this is the second step so it will be on the right of the equation.  the full equation turns out to be R sub B', 270 degrees composition of transformations r sub m.

it must be that way because if you rotated the figure first then reflected it it would look like an entirely different image.

pls give brainliest

Which statement is true

Answers

Answer:

b

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

If paper clips are 7/8 of an inch long and cost $0.02 to make, how much would it cost to produce enough paper clips to make a line, end to end, that stretches 56 inches?

Answers

Answer:

$1.12

Step-by-step explanation:

When you multiply 8/7 of 56, you get 64.

This shows that you will need 64 paperclips to make 56 inches worth of paper clips. If each paper clip costs two cents, you need to multiply 56 paperclips by 2 cents. 56x0.02=1.12 so it will cost you 1 dollar and twelve cents

In explaining why their country is an attractive place to invest, the Minister of Commerce from Turgistan has argued that the political problems have been exaggerated and that fewer people have been imprisoned for political reasons than you have been led to believe. However, Amnesty International reports that one third of the prisoners in Turgistan are political prisoners. A representative from your company visited a prison and sampled 500 prisoners in Turgistan, concluding that 90 of them are political prisoners. Test the hypothesis, at the 5% significance level, that one third of the prisoners in Turgistan are political prisoners.

Required:
a. Does this data support the Minister of Commerce or Amnesty International?
b. What other issues might be important when evaluating this data?

Answers

Answer:

a

   This data does not  support the Minister of Commerce or Amnesty

International

b

Another issue that is  important when evaluating this data is the judicial system of the Turgistan

Step-by-step explanation:

From the question we are told that

  The  sample size is  n  =  500

 The  number of political  prisoners is  k  =  90

  The  level of significance is  [tex]\alpha = 0.05[/tex]

 

        The null hypothesis  is  [tex]H_o  :  p =  \frac{1}{3} =  0.33[/tex]

        The alternative hypothesis is  [tex]H_a : p \ne  0.33[/tex]

Generally the sample proportion is mathematically represented as

      [tex]\^ p  =  \frac{k}{n}[/tex]

=>   [tex]\^ p  =  \frac{90}{500}[/tex]

=>   [tex]\^ p  =  0.18[/tex]

 Generally the test statistics is mathematically represented as

    [tex]z =  \frac{\^ p  -  p}{\sqrt{\frac{p (1- p)}{n} } }[/tex]

=>  [tex]z =  \frac{0.18  -  0.40}{\sqrt{\frac{0.33 (1- 0.33)}{500} } }[/tex]      

=>  [tex]z = -7.1429 [/tex]

Generally the p-value is mathematically represented as

      [tex]p-value  =  2 *  P( Z  >  -7.1429)[/tex]

From the normally distribution table

    The  probability of [tex]P( Z  >  -7.1429)  =  0[/tex]

=>     [tex]p-value  =  2 * 0[/tex]

=>     [tex]p-value  =  0[/tex]  

From the value obtained we see that the [tex]p-value  <  \alpha[/tex] hence the decision rule is

  Reject the null hypothesis

The conclusion is  

  There is no sufficient evidence to conclude that  this data does support the Minister of Commerce or Amnesty International

jj

Choose all sets that contain the number - 2.22.

Natural numbers

whole numbers

integers

Rational numbers

irrational numbers

Real numbers​

Answers

Rational numbers? And integers?

Answer:

D, F

Step-by-step explanation:

rational numbers

real numbers

Leon was asked to repaint the sign for his mother's ice cream shop, so he needs to figure out how much paint he will need. Determine the area of the ice cream cone on the sign. Round to the nearest tenth. 6 in 12 in.​

Answers

Answer:

50.1

The area of the composite figure is 50.1

Trust me

Tracy plans to serve punch along with the chicken wings. According to her calculations, two times the amount of punch needed is more than 4 liters. Write an inequality for y, the amount of punch needed to serve at Tracy’s party.

Answers

Answer:

word problems are pretty tricky

Step-by-step explanation:

y= punch

2*y > 4  Liters

y >2 Liters

Answer:2y>4

Step-by-step explanation:

Two times the amount of punch needed =2y. Because this amount must be greater than 4 liters, the inequality is given by 2y>4

What happens to the median if the game with 3 hits is remqued from the data sset

Answers

I just need points lsosjsnsnenenend
Other Questions
Carl drives to the beach at 50 mph. When he returns home he is able to travel at 55mph. Assuming the trip home takes him a half hour less, find the distance to the beach. Read this excerpt from Through the Looking-Glass by Lewis Carroll.Alice never could quite make out, in thinking it over afterwards, how it was that they began: all she remembers is, that they were running hand in hand, and the Queen went so fast that it was all she could do to keep up with her: and still the Queen kept crying "Faster! Faster! but Alice felt she COULD NOT go faster, though she had not breath left to say so.What question should a reader ask to clarify what is happening in the story?Why is Alice out of breath?How do Alice and the Queen travel?Where are Alice and the Queen going?Who else enjoys the company of the Queen? can you help me with more questions please Which of these problems occurred after South American nations gained independence? Check all that apply.tyrannical dictatorsUS occupationswars over land and natural resourcesrecolonization by European powersunsuccessful confederations Those high school students are old enough to go to themovie byChoose the correct reflexive pronoun to complete thesentence.O myselfO yourselfO themselvesO ourselves I need help because im dumb part 2.h e l p - HELPPTina wrinkled her nose as soonas she opened the door. It alwayssmelled awful in there. She looked aroundto make sure the place was empty. Whenshe was sure they were all outside, shewent from nest to nest, filling herbasket with eggs.Where was Tina?How do you know?Set2 PLEASEEE HELP Escribe una escena de la peli Machuca como evidencia y luego escribe qu dicotoma representa. Finalmente, escribe una leccin que esa escena demuestra utilizando las dos partes de la dicotoma. Many species of microorganisms live on and within the bodies oflarger organisms. These microorganisms affect the health of otherorganisms in both positive and negative ways. Which statement describesthe role of a microorganism that has an unhealthy effect on humans? Suppose f(x)=2x5 and g(x)=|3x+1|. Find the value of f(x2) . A snack bar is having a sale on hamburgers. At 9:00AM, the snack bar has sold 28 hamburgers. At 12:00PM, the snack bar discovers that it has sold 103 hamburgers. What is the average rate of change between 9:00AM and 12:00PM? The signboard truss is designed to support a horizontal wind load of 800 lb. A separate analysis shows that 5 8 of this force is transmitted to the center connection at C and the rest is equally divided between D and B. Calculate the forces in members BE and BC. mike bought an item for $14,000 after a discount of 30% what was the original price of the item mike brought? please show work. Jefferson included paragraph 33 to -A.outline the plan for the newAmerican governmentB.formally pledge the independence ofthe colonies from the BritishC.directly blame the Britishgovernment for issues that theyhave enduredD.ask the British citizens for help inworking with the government How does latitude affect the creation of air masses in tropical, temperate, and polar zones? What was the Confederate Proclamation about negroes captured with arms? In uniform? What would happen to a white officer leading these soldiers? Explain what the 4/4 in this example means? What happened to improve the relationship between the Jamestown colonists and the Powhatan? a. They sat down to have a feast together. b. The hard winter meant they didn't have enough food.c. Pocahontas married John Rolfe.d. Explorers from another country arrived. 1. The first step to solving a 2-Step Equation, like in the problem below, isto: *2 points-3x + 5 = 12Division: Divide both sides by -3 to isolate the variable.Addition: Add 3 to both sides to isolate the variable.Subtraction: Subtract 5 from both sides to isolate the variable term.Multiplication: Multiply by the common denominator 60. 6th grade reading I mark as brainliest zoom in if needed Question 2 of 10What is Sandra Cisneros's most famous book?A. The Joy Luck ClubB. The House on Mango StreetC. Little WomenD. The Lone Ranger and Tonto Fistfight in HeavenSUBMIT