PLEASE HELP!
The gravitational force that Earth exerts on an object is inversely proportional to the square of the distance between the center of the Earth and the object. When Bill is on the surface of Earth, 4,000 miles from the center, the gravitational force is 600 Newtons. What is the gravitational force (in Newtons) that the Earth exerts on him when he's standing on the moon, 240,000 miles from the center of the earth? Express your answer as a fraction

Answers

Answer 1
Inverse: Flipping the fraction of a number. For example the inverse of 2 would be 1/2. So force/1 has to = x/radius^2

Find "x":
 [tex] F_{gravity} = \frac{x}{r^2} [/tex]
Plug in numbers given:
 [tex] F_{gravity} = \frac{x}{r^2} [/tex]
[tex]600= \frac{x}{(4,000)^2} [/tex]
[tex]600= \frac{x}{16,000,000} [/tex]
[tex]x=9,600,000,000[/tex]

Find Force using x and the new radius:
 [tex] F_{gravity} = \frac{x}{r^2} [/tex]
 [tex] F_{gravity} = \frac{9,600,000,000}{(240,000)^2} [/tex] = 1/6

 



Answer 2

1/6  is the gravitational force (in Newtons) that the Earth exerts on him when he's standing on the moon.

What is gravitational force?

The gravitational force is a force that attracts any two gadgets with mass. We name the gravitational force attractive as it always tries to pull masses together, it in no way pushes them apart. In fact, every item, consisting of you, is pulling on every different item in the entire universe.

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Related Questions

devin has 17 quarters, 12 dimes, 18 nickels, and 8 pennies. How much money does he have in change?

Answers

add the numbers...
17+12+18+8= .41
17(0.25) + 12(0.10) + 18(0.05) + 8(0.01) = 
4.25 + 1.20 + 0.90 + 0.08 =
6.43 <==

graph 7x-4y=-8 and x+2y=-14

Answers

first find value of x and y by substitution or any method the we can plot the vertices in graph if you need more values in graph then suppose x any number and you will get y if x=0 then 7*0-4y=-8 and get y

express f (x) = |x-5| as a piecewise defined function

Answers

if x>5......f(x)= x-5
if x <5......f (x)= -x+5

Oakland has an elevation of 1,639 feet above sea level. Lake enriquillo’s elevation is 149 feet below sea level. What is the difference in altitude between the two locations?


What would the difference in elevation be if the lake had formed 149 feet above sea level?

Answers

The difference in elevation if the lake had formed 149 feet above sea level is 1788 feet.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

We have been given that Oakland has an elevation of 1,639 feet above sea level.

And Lake enriquillo’s elevation is 149 feet below sea level.

We have to determine the difference in elevation if the lake had formed 149 feet above sea level.

So the difference in elevation if the lake had formed 149 feet above sea level as

⇒ 1639 - (-149)

⇒ 1639 + 149

⇒ 1788.

Hence, the difference in elevation if the lake had formed 149 feet above sea level is 1788 feet.

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Which number can be classified as a terminating decimal number?



0.491


0.1257…


none of the above

Answers

0.1257 is a terminating decimap

100 fl oz = _ C _ Fl oz

Answers

Hello.

1 fl oz is equivalent to 1/8 cups, or 0.125 as a decimal. To solve for how many cups 100 fl oz is, we need to multiply both our values by 100;

1 x 100 = 100
0.125 x 100 = 12.5

Your answer is:
100 fl oz is equivalent to 12 cups and 4 fl oz.

I hope this helps!

Alex has 7 pizzas he wants to share equally with 10 friends. How much pizza will each friend receive?

Answers

Alex will give each of his friends 7/10 or 0.7 of a pizza when he divides 7 pizzas equally among 10 friends.

Alex has 7 pizzas and wants to share them equally with 10 friends. To find out how much pizza each friend will receive, we can set up a division problem: . This means each person gets 7/10 of a pizza.

Using fractional parts as one method, we can visualize slicing each pizza into 10 equal parts and each friend getting 7 of those slices. Therefore, each person ends up with 7 slices, where each slice is 1/10 of a whole pizza. Hence, every friend gets 7/10 or 0.7 of a pizza when it is divided equally.

Each friend will get 7 tenths of a pizza, or more practically, each friend will receive 0.7 of a pizza.

To solve the problem, we need to divide the total number of pizzas Alex has by the number of friends he wants to share them with.

Alex has 7 pizzas, and he wants to share them equally with 10 friends.

The division of pizzas per friend can be represented by the fraction:

[tex]\[ \text{Pizzas per friend} = \frac{\text{Total pizzas}}{\text{Number of friends}} \][/tex]

[tex]\[ \text{Pizzas per friend} = \frac{7}{10} \][/tex]

[tex]\text{Pizzas per friend} = 0.7[/tex]

Jonathon borrowed $800 from his grandparents to start a lawn mowing business in his neighborhood.After mowing lawns for a month and paying his expenses, he was able to pay then $188.56. How much does Jonathan still owe his grandparentes

Answers

He still owes them $611.44

work:$800-$188.56=$611.44

Answer:

You spelled grandparents wrong.

Step-by-step explanation:

marta put $4.87 in her Coin bank

Answers

and? what's the rest of the problem?

which property is shown (18+(-25))+100=18+(-25+100)

Answers

(18+(-25))+100=18+(-25+100)

answer is associative property of addition
It is the associative property (of addition)
(18+(-25))+100=18+(-25+100)

florence purchased stock for $20 per share. After 6 days, the stock is worth $32 per share. What integer represents the average increase in stock value each day? Show your work.

Answers

32-20 is 12. 12 divided by 6 is 2, so the average increase in the stock value per share was 2 dollars every day.

maco is selling floral arrangements each arrangement uses 1 vase and 11 orchids each vase costs Marco 4.00$ let be the cost of the arrangement and r be the cost of the 1 orchid which equation should Marco use to find the total cost of each arrangement.
A. 11= C +4r
B. 11C = r + 4
C. C= r + 4
D. C = 11r + 4

Answers

Maco is selling floral arrangements each arrangement uses 1 vase and 11 orchids each vase costs Marco 4.00$ let be the cost of the arrangement and r be the cost of the 1 orchid which equation should Marco use to find the total cost of each arrangement.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Correct answer:
D. C = 11r + 4
~~~~~~~~~~~~~~~~~~~~~~~~
If it's wrong feel free to tell me
Final answer:

The correct equation for Marco to determine the price of each floral arrangement is 'C = 11r + 4', which represents the total cost of the arrangement 'C' calculated by summing the cost of 11 orchids (11 times 'r') and the cost of one vase ($4.00).

Explanation:

To determine the total cost of each floral arrangement that Marco is selling, the cost of the vase and the cost of the orchids used in the arrangement must be added together. As per the question, each arrangement uses one vase that costs $4.00 and 11 orchids. However, the cost of individual orchids is not mentioned and represented by 'r' in the question.

Therefore, the equation Marco should use to find the total cost of each floral arrangement is D. C = 11r + 4. This equation denotes that the total cost of the arrangement 'C' is the sum of the cost of 11 orchids (11 times 'r', where 'r' is the cost of one orchid), and the cost of the vase which is $4.00.

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Elisa made 0.44 of the free throws she attempted. What is the amount written as a fraction in simplest form??

Answers

44/100 divide the numerator and denominator by 2
22/50 do it again
11/25

A box of icecream bars cost $1.50 after a 25% discount. What was the original price of the box of ice cream bars?

Answers

The answer is 6 dollars, because we divide to cancel out the discount.
1.25/.25=6

Answer:

The answer is 2 because you are taking the discounted price and multiplying it by the original price to get your answer to this problem.

Step-by-step explanation:


The short sides 6cm The long sides twice the short size what is the perimeter

Answers

The perimeter is 36.

On a chess board, 32 of the squares are white. At the start of a game, the players cover 16 white squares of the board with pieces. In simplest form, what fraction of the white squares has chess pieces?

Answers

32 - 16 = 16 white squares not covered
16/32 = 1/2

Half of the white squares on a chess board have pieces on them at the start of a game. This is represented by the simplified fraction 1/2.

To calculate what fraction of the white squares on a chess board has chess pieces at the start of the game, you start by considering the total number of white squares. A chess board consists of 64 squares, half of which are white, giving us a total of 32 white squares. At the start, 16 white squares are covered with pieces. Therefore, the fraction of white squares that have chess pieces is 16 out of 32 (16/32).

To simplify this fraction, you look for the greatest common divisor of both the numerator and the denominator. In this case, both 16 and 32 are divisible by 16. After simplifying, 16 divided by 16 gives you 1, and 32 divided by 16 gives you 2, so the simplest form of the fraction is 1/2.

What is the value of x? show your work

Answers

Divide 30 by 25 to obtain the scale factor as these are similar triangles. 30/25= 1.2
Multiply 20 by 1.2 to give the value of 4x-4. 20 x 1.2= 24.
Form the equation:
4x-4=24
4x=28
x=7

Answer:

The value of x is 7.

Step-by-step explanation:

I got it correct, trust me.

2/5 ab What are the factors of the expression? Drag all of the factors of the expression into the box.

Answers

the answer is 2/5, a, and b

Plz Help! :)
Which ordered pairs lie on the graph of the exponential function
f(x) = 3(1/4)^x

Select each correct answer.
A.​ (−2,48) ​

B. (0,3) ​

C. (2,3/16) ​

D.​ (12,0) ​

Answers

B
when x=0, f(3)=3(1/4)^0
any number to the 0th power is 1, so f(3)=3*1=3
A, C are also correct.  (1/4)^-2=16, (1/4)^2=1/16

Answer:

A.​ (−2,48) ​ B. (0,3) ​C. (2,3/16) ​

Step-by-step explanation:

The given function is

[tex]f(x)=3(\frac{1}{4} )^{x}[/tex]

To find those ordered pairs that lie on the graph, we need to evaluate each of them

A.  (−2,48) ​

[tex]f(-2)=3(\frac{1}{4} )^{-2}=3(4)^{2}=3(16)=48[/tex]

This pair lies on the graph.

B. (0,3)

[tex]f(0)=3(\frac{1}{4} )^{0}=3(1)=3[/tex]

This pair lies on the graph.

C. (2,3/16) ​

[tex]f(2)=3(\frac{1}{4} )^{2}=3(\frac{1}{16} )=\frac{3}{16}[/tex]

This pair also lies on the graph.

D.​ (12,0) ​

[tex]f(12)=3(\frac{1}{4} )^{12}=\frac{3}{16,777,216}[/tex]

This pair doesn't lie on the graph, because it doesn't satisfy the exponential function.

Therefore, the right asnwer are A, B and C.

1. Solve the absolute value equation, if possible.  If there is no solution, explain why.
| 5x + 13| = -7

Answers

Every absolute value MUST be 0 or greater (positive); thus, | 5x + 13| = -7 has no solution due to the - number on the right.

An absolute value of any real number is never negative.

The number on the right side, -7, is a negative number.

As I just stated, the absolute value can never be negative.

Since -7 is a negative number, there is no solution to this equation.

Have an awesome day! :)

A FRIEND GAVE MS.MORRIS A GIFT CARD FOR A LOCAL CAR WASH. THE TABLE SHOWS THE LINEAR RELATIONSHIP OF HOW THE VUALE LEFT ON THE CARD RELATES TO THE NUMBER OF CAR WASHES

Answers

The table is:

Number of washes denoted by x: 0, 8, 12

Amount left on card denoted by y: 30, 18, 12

 

a.       Write an equation that shows the amount of dollars left on the card

Solution:

18 – 30 divided by 8 – 0 = -12/8

On simplest form is -3/2

 

The equation is y = -3/2x + 30

 

b.      Explain the meaning of the negative slope above.

As the number of car washes increase, the dollars left on the card decreases.

 

c.       What is the maximum value of x?

0 = -3/2x + 30

2/3 x 3/2 x = 30/1 x 2/3

Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2

x = 20

Answer:

my friend here justin and he is carck at fortnite my guy

Step-by-step explanation:

Simplify the product using the distributive property. (4h+6)(4h-7)

Answers

(4h+6)(4h-7)
= 16h^2 + 24h - 28h - 42
= 16h^2 - 4h - 42

hope it helps

Answer:

the product using the distributive property. (4h+6)(4h-7) is, [tex]16h^2-4h-42[/tex]

Step-by-step explanation:

The distributive property says that:

[tex]a \cdot (b+c) =a\cdot b+ a\cdot c[/tex]

To find the product:

[tex](4h+6)(4h-7)[/tex]

then;

[tex]4h(4h-7)+6(4h-7)[/tex]

Apply the distributive property we have;

[tex]16h^2-28h+24h-42[/tex]

Combine like terms we have;

[tex]16h^2-4h-42[/tex]

therefore, the product using the distributive property. (4h+6)(4h-7) is, [tex]16h^2-4h-42[/tex]

What is the perimeter of a triangle if the lengths of the sides are 8", 10", and x?

Answers

so basically you're trying to find the third side. I'd like you to meet this new equation called the Pythagorean theorem. The equation is basically a²+b²=c².

So here is where you use the formula:

Replace x and y with 8 and 10

8²+10²=c²

Now simplify the equation

8² = 64
10² = 100
64+100=c²
164=c²

now you have to remove that ² from c. So basically you cancel it by square rooting it. But if you square root one side, you have to square root the other side.

√164 = √c²
√ and ² cancel each other out...
c = √164
√164 = 12.8
c= 12.8

Wait! we're not done yet cause now you have to find the perimeter of the triangle.

12.8+8+10
=30.8
Hope this helps!
8^2+10^2=c^2
62+100=c^2
162=c^2
12.73=c

The balance in two separate bank accounts grows each month at different rates. The growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x + 12. In what month is the f(x) balance greater than the g(x) balance?

Month 6
Month 5
Month 4
Month 3

Answers

From the balance and the growth you are talking to me, we can say that it would be an inequality of 2x > 4x +12 so in that case it would be in the month number 6 where you would find a greater balance.

Please mark as brainiest :)

What rational number equals 0.3 repeating

Answers

0.3 = 1/3

hope it helps

can every odd whole number be written as the difference of two squares

Answers

No. Not every odd number can be written as the dif of 2 squares

Every odd whole number can indeed be written as the difference of two squares, leveraging the fact that the difference between the squares of consecutive integers is an odd number.

The question whether every odd whole number can be written as the difference of two squares is of arithmetical and algebraic interest. The answer is yes, every odd whole number can be expressed as such. For example, consider the odd whole number 7. This number can be expressed as 4^2 - 3^2, which simplifies to 16 - 9, giving us 7. Generally, for any odd whole number n, we can find whole numbers x and y such that n = x^2 - y^2. This is because we can write n = (m+1)^2 - m^2, where m is an integer. Essentially, m can be taken as (n-1)/2 which ensures that m and m+1 are consecutive integers, hence their squares differ by an odd number, which is n.

Between which two whole numbers is the square root of 18?

Answers

4 and 5. The square root of 16 is 4 , the square root of 25 is 5. Those two numbers are the closest to 18.
It is between 4 and 5 because when you set up the question, you put 18 in a square root sign and solve. As In:
                                                     16*Squared  = 4
                                                     18*Squared = It's between 4 and 5
                                                      25*Squared = 5

|-3|-2 ³ + 1/3 ÷ 1/6- 2 × 1/2 - (√4 -6 ÷2)

Answers

The answer will be -5

10 POINTA HELP FAST! Liam had a container of oatmeal that contained 5 1/2 cups of oatmeal. Liam ate 4/9 cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?

A. 2 1/2

B. 3

C. 3 1/2

D.5

Answers

Answer:

At the end of the 5 days week, the number cups of oatmeal left are 59/18.

Step-by-step explanation:

Given that the container has 5 and half or 11/2 cup of oatmeal. Every morning Liam at 4/9 cups of oatmeal and this took place for 5 days. So, multiply it with 5. The total cups of oatmeal for 5 days will be 20/9.

The cups of oatmeal left after 5 days are

(11 / 2) - (20 / 9)

(99 - 40) / 18

59 / 18

So, 59/18 number of cups of oatmeal are left at the end of 5 days.

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Answer:

Its c

Step-by-step explanation:

n a random sample of 75 individuals, 52 people said they prefer coffee to tea. 99.7% of the population mean is between

Answers

I don't understand the question please clarify and I can give an actual answer
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