a body’s weight varies inversely with the square of its distance from the center of the earth; if a chicken weighs 12 pounds when it is 5,000 miles from the earth’s center, how much will the chicken weigh when it is 10,000 miles from the earth’s center ?

Answers

Answer 1

The chicken will weigh 3 pounds when it is 10,000 miles from the earth's center.

There are two types of proportions.

1) Direct Proportion - shows the direct relationship between two quantities. It can be represented by the equation y = kx. As one quantity increases, the other quantity also increase.

2) Inverse Proportion - describes the indirect relationship between two quantities.  It can be represented by the equation y = k/x. As one quantity increases, the other quantity decreases.

According to the problem, a body’s weight varies inversely with the square of its distance from the center of the earth.

y = k/x

let y = a body's weight

x = square of its distance from the center of the earth

Solving for the proportionality constant, k.

y = k/x

12 = k / (5000^2)

k = 12 x 25, 000, 000

k = 300, 000, 000

The equation for the relationship in the problem can now be represented by:

y = 300,000,000/x

where

y = a body's weight

x = square of its distance from the center of the earth

Evaluating the new equation where x = square of 10,000:

y = 300,000,000/x

y = 300,000,00/(100,000,000)

y = 3

Hence, the chicken will weigh 3 pounds when it is 10,000 miles from the earth's center.

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Related Questions

in mrs. middleton's math class, there are 7 more boys than girls. if there are 29 total students in the class, how many boys are there?

Answers

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

18 boys + 11 girls = 29 students

18-11=7

PLEASE HELP!!!! IMPORTANT!!!!

Answers

The answer is 90 degrees.

180 and 360 would also map onto itself, but the shortest angle is 90.
The answer is 90 degrees

An airplane that can travel 450 mph in still air, encounters a 30-mph headwind. How long will it take the plane to travel 1050 miles into the wind?

Answers

The time plane will take to travel 1050 miles into the wind is 2.5 hours.

What is speed?

Speed is defined as the rate of change of position in unit time.

Mathematically,

Speed = Distance/Time

Now given that,

Speed of airplane in still air = 450 mph

Speed of wind = 30 mph

Distance to travel = 1050 miles

So, Actual speed of wind = 450 mph - 30 mph

Actual speed of wind = 420 mph

So, since Speed = Distance/Time

⇒ Time = Distance/Speed

⇒ Time = 1050/420

⇒ Time = 2.5 hours

Thus, the time plane will take to travel 1050 miles into the wind is 2.5 hours.

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Can anyone answer these for me?

Answers

Answer:

x=12 y=10 z=-12

Step-by-step explanation:

help it due in 4 mins please

Answers

Answer:

Step-by-step explanation:

draw an open circle on point -11 and a line going towards the left. Because it is less than -11 and not equal.

Point ( open circle ) on 0 going to the right because it is greater and does not including 0.

a boy throws a baseball across a field. the ball reaches its maximum height, 18 meters, after 1 second. after approximately 2.3 seconds, the ball lands on the ground. the ball’s motion can be modeled using the function f(x)

Answers

The height of the ball after 1.5 seconds is 15.5 meters so option (C) will be correct.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

Given the function as the height of ball f(x) and time x

f(x) = -10x² + 20x + 8

At x = 1.5

f(1.5) = -10(1.5)² + 20(1.5) + 8

f(1.5) = 15.5

Hence "The height of the ball after 1.5 seconds is 15.5 meters".

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Given question is incomplete complete question is attached below image ;

what is the value of 8 4/3 ?​

Answers

Answer :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf= 9.\bar{33}[/tex]

Step-by-step explanation:

[tex] \bf{8 \frac{4}{3} = \frac{3 \times 8 + 4}{3} = \frac{24 + 4}{3} = \frac{28}{3} = 9. \bar{{33 }}}[/tex]

is 7.69 x 24^8 in scientific notation

Answers

Answer: No, it's not in scientific notation

Reason:

The 24 needs to be changed to a 10 for it to be in scientific notation.

The template for scientific notation is [tex]a * 10^b[/tex] where [tex]0 \le |a| < 10[/tex]

So for example, [tex]1.23 \times 10^4[/tex] is in scientific notation.

a rectangle has a perimeter of 10 meters. choose ,begin emphasis,all,end emphasis, the possible dimensions of the rectangle.

Answers

The possible dimensions of the rectangle having a perimeter 10 are

1)length= 4 and bredth= 1

2)length= 3 and bredth= 2

The perimeter of rectangle=2( length of rectangle + breadth of rectangle)

Given that the perimeter of rectangle=10

10=2( length of rectangle + breadth of rectangle)

5=length of rectangle + breadth of rectangle

For a rectangle, length must be always greater than the breadth

The possible values of length of rectangle= 4 and 3

As a result,the Breadth of the rectangle will be 1 if length =4

As a result,the Breadth of rectangle will be 3 if length =2

Therefore, The possible dimensions of the rectangle having a perimeter 10 are

1)length= 4 and bredth= 1

2)length= 3 and bredth= 2

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Sep 16, 1:21:38 AM
(3x-26)°, then find the measure of

Answers

The measurement or the value of x in the given equation [tex](3x-26)degrees = 180degrees[/tex] is [tex]x=68.67[/tex]°

As per the question statement, we are supposed to find the measure of angle x in the given equation, [tex](3x-26)= 180[/tex]

Before solving this question, we should know that this question is an example of solving a linear equation in one variable.

[tex](3x-26)= 180\\3x=206\\x=\frac{206}{3} \\x=68.67[/tex]

Hence the measure of the angle x is x=68.67°

This question is a good example of solving a linear equation in one variable.

Linear Equation: It is an equation which when plotted on a graph forms a straight line and we solve for an unknown number called as variable.

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mcgraw hill determine whether each relation is a function

Answers

Any relation that does not have two same x, y does not matter in this case but no two same c values

A, B, C and D are junctions on a motorway.

A B C D

distance CD= 3 x distance AB
distance BC= 25 miles

Salma drives from A to C.
She drives for 30 minutes at an average speed of 62 miles per hour.

Work out the distance AD.

Not drawn
accurately

Answers

The distance AD is 49 miles.

As per the given values of speed and time, we will calculate the distance AC. Firstly equalising the units.

As per the known fact, 60 minutes = 1 hour

30 minutes = (1/60)×30

30 minutes = 0.5 hour

Now, speed, distance and time are related as -

Speed = distance ÷ time

Distance = speed × time

Distance = 62 × 0.5

Distance = 31 miles

So, AC = 31 miles and BC = 25 miles.

Therefore, AB = AC - BC

AB = 31 - 25

AB = 6 miles

The distance AD = AC + CD

AD = 31 + 3 × AB

AD = 31 + 3 × 6

AD = 31 + 18

AD = 49 miles

Therefore, the distance between AD is 49 miles.

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The complete question is attached.

2p=47−17 please help with explinations

Answers

We calculate the right side of the equation : 47 - 17 = 30

2p = 30

Divide both side by 2, we have : p/2 = 30/2 -> p = 15.

Answer:

P=15

Step-by-step explanation:

2p = 47-17

2p = 30

Divide both sides by the coefficient of p which is 30

[tex]\frac{2p}{2} =\frac{30}{2}[/tex]

P= 15

How many two-ninths are in eight-ninths?

Answers

Answer:

4

Step-by-step explanation:

2/9 + 2/9 + 2/9 + 2/9 =  8/9

4x-18=x-3 will give ten points for answer asap

Answers

Answer: x=5

Good luck :)

consider measurements of the width w and length l of a piece of paper used to calculated the area of the paper using a

Answers

The area of the piece of paper is;

Area = length x width

⇒ a = l w unit square.

Here,

Given that;

The width of piece of paper = w

The length of piece of paper = l

We have to find the area of piece of paper by using a.

What is Area of rectangle?

The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width.

Now,

Consider the shape of piece of paper is rectangular.

The width of piece of paper = w

The length of piece of paper = l

Since, we know that;

Area of rectangle = length x width

Then, The Area of piece of paper 'a' = length x width

⇒ a = l * w

Where, a = Area of rectangle, l = length of piece of paper and

          w = width of rectangle.

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Which segment (s) are perpendicular to AB?

Answers

Answer:

B) Segment CD only

Step-by-step explanation:

In the plane, there is exactly one perpendicular line to a line from a particular point.

We can see CD is marked as perpendicular segment and there are no more such possible segments.

Correct choice is B.

Answer:

b) Segment CD only

Step-by-step explanation:

Now we have to,

→ find the segment perpendicular to AB.

The segment will be,

→ CD (only)

* As it is 90° from the segment AB, we can say that it is perpendicular to AB.

Hence, option (b) is correct answer.

Emma bought a salad for $4.75 and a drink for $1.65. She had $18.35 left. How much money did she have before she bought the salad and drink

Answers

Answer: The amount she started with is $24.75

She had 24.75 before buying the salad and drink.

966500 in scientific notation

Answers

9.665 x 10^5

966500.0

Move the dot to the right 5 times

Caroline is driving to a concert and needs to pay for parking. there is an automatic fee of $5 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. how much total money would caroline have to pay for parking if she left her car in the lot for 3 hours? how much would caroline have to pay if she left her car in the lot for t hours?

Answers

The  total money   Caroline would  have to pay for parking if she left her car in the lot for 3 hours is $11

For t hours the Caroline would pay 5+2t

What is algebraic expression?

Algebraic expression is a  mathematical statement  which points to when operations such as addition, subtraction, multiplication as well as division, are used for variables and constants, in essence, using algebraic expression, we can derive the equation that gives the total cost of Caroline driving and using the parking lot at the concert

There is a  fixed charge of $5, there is also an additional $2 for every spent, if represent hours spent by t, then she would pay 2t in total for using the parking lot.

Total cost=5+2t

when t=3 hours

total cost=5+(2*3)

total cost=$11

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X
-3
1
O
y =
= 2x+2
q
-2
b
2
C

use the table to work out!
a, b, c,d when
Y=2x+2

Answers

Answer:

y and x = 4 if wanted a dinner equation in one hand over least common multiple

What number is equal to √9?

Answers

Answer:

3

Step-by-step explanation:

x =√9

x= 9½

Multiply both sides by the power of 2

x²=9½*²

x²= 9

x²=3²

x=3

a game arcade consists of a balloon that is inflated little-by-little during each round of play. The player wins when the balloon pops. The amount of air that is needed to make the balloon pop can be modeled bya. uniform distribution on the interval from 25 to 35 cubic inches of air.

Answers

14 is the answer pls comment me if I’m right

Alisa has $2.00 in change. If she has 7 quarters, what is the maximum number of dimes she can have?

Answers

2 dimes is the correct answer

7 quarters = 1.75
2 dimes= 0.20
1.75 + 0.20= 1.95
She has 2.00$
3 dimes would be 2.05 (Incorrect)
Therefore 2 dimes is the Answer

Simplify the following expression in Scientific Notation. (1.8x10⁹) (6.7 x 10¹²)
a x 10^b
a=?
b=?​

Answers

the following expression i.e. (1.8x10⁹) (6.7 x 10¹²) in Scientific Notation is 120.6×[tex]10^{20}[/tex] and a=120.6 and b=20

Scientific notation:

Scientific notation is a method of presenting very large or very small numbers in a more simplified format. We know that whole numbers can be extended indefinitely, but such large numbers cannot be written on a piece of paper. Furthermore, the numbers found after the decimal point needed to be represented in a more straightforward manner.

(1.8x10⁹) (6.7 x 10¹²) = 120.6×[tex]10^{20}[/tex]

Given (1.8x10⁹) (6.7 x 10¹²) =a x [tex]10^{b}[/tex]

a x [tex]10^{b}[/tex]= 120.6×[tex]10^{20}[/tex]

a=120.6 and b=20

Therefore,the following expression i.e. (1.8x10⁹) (6.7 x 10¹²) in Scientific Notation is 120.6×[tex]10^{20}[/tex] and a=120.6 and b=20

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A 3.5 ft child casts a 60 inch shadow, the child is next to a telephone pole that casts a 50 ft shadow how tall is the telephone pole

Answers

The telephone pole is 35ft tall .

What is height?

The height of any object is define as the distance measurement of that object from the top to its base. In geometry it is also called as altitude.

Height can be measured in various quantities such as feet, inches, centimeters etc.

Some of measurements are as below.

feet to inches

          1 feet = 12 inches

feet to centimeters

          1 feet = 30.48 cm

inches to centimeters

          1 inch = 2.54 cm

meters to feet

          1 feet = 3.28 feet

In the given question,

Convert 60 inches to feet ,

60 inches = 60/12 feet = 5 feet

Given, pole shadow = 50ft

child height =3.5ft

now, Set up  proportion between the ratios of the child and his shadow and the telephone pole and its shadow.

[tex]\frac{child \ height}{child \ shadow \ length} =\frac{pole \ height}{pole \ shadow \ length}[/tex]

Let, x be pole height

=> [tex]\frac{3.5}{5} =\frac{x}{50}[/tex]

now solve the equation,

3.5 ×50 = x × 5

x = 35

Thus, the pole is 35 feet tall.

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Ken and Hamid run around a track.

It takes ken 80 seconds to complete one lap
It takes Hamid 60 Seconds to complete one lap

Ken and Hamid start running at the same time from the start line

How may laps will they each run when they next meet on the start line?

Answers

It is found that Ken will have run 3 laps and Hamid will have run 4  around a track.

What is prime factorization?

Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.  Prime factorization is when all those factors are prime numbers.Thus, prime factorization expresses an integer in terms of multiples of prime numbers.

Prime factorization is unique for each integer.

To determine the number of seconds that will have passed when they meet again.  We will use the LCM, or least common multiple, for this.

Thus the prime factorization of each number:

80 = 10(8)

10 = 5(2)

8 = 2(4)

4 = 2(2)

80 = 2(2)(2)(5)(2)

60 = 10(6)

10 = 5(2)

6 = 2(3)

60 = 2(2)(3)(5)

For the LCM,

2(2)(5)(2)(2)(3) = 240

This means every 240 sec; they will both be at the start line.

Since Ken completes a lap in 80 seconds, then he will completes

240/80 = 3 laps in 240 seconds.

Since Hamid completes a lap in 60 seconds, then he will completes 240/60 = 4 laps in 240 seconds.

Hence, It is found that Ken will have run 3 laps and Hamid will have run 4.

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The plan for a concrete birdbath is shown
below. The bowl is a cylinder with a depth
of 10 cm. If the bowl has a diameter of
30 cm, what is the exposed surface area
of the birdbath, including the pillar and
pedestal?

Answers

Answer:

Step-by-step explanation

10 cm

Answer: unknwon

Step-by-step explanation:

because height of pillar not given

There are 55 stickers in each box how many stickers are in seven boxes

Answers

Answer: 385 stickers

Step-by-step explanation:

7 boxes * 55 stickers/1 box=

7 * 55/1=

7*55=385 stickers

Answer is 385

55 x 7 = 385

In the figure, m∠AOD=105. If m∠AOB=8x, m∠BOC=7x and m∠COD=6x, what is the value of x?

Answers

Answer:

x = 5

Step-by-step explanation:

from the diagram

∠ AOB + ∠ BOC + ∠ COD = ∠ AOD ( substitute values )

8x + 7x + 6x = 105

21x = 105 ( divide both sides by 21 )

x = 5

Answer:

5

Step-by-step explanation:

AOB+BOC+COD=AOD

6x+8x+7x=105

21x=105

x=105÷21

x=5

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