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bonufazy [111]
3 years ago
15

The gravitational force produced between any two objects kept 2.5×10^4 km apart is 580 N . At what distance should they be kept

so that the gravitational force become half.​
Mathematics
1 answer:
DochEvi [55]3 years ago
7 0

Answer:

Formula for gravitational force    F = G M1 * M2 / R^2  where G is the gravitational constant

F2 / F1 = (R1 / R2)^2 = 1/2         where F2 is the required force

R2 = (2)^1/2  R1     distance for R2 to be 1/2 force at R1

Since force is proportional to the square of the distance of separation, increasing the distance of separation by 2^2 will halve the force

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Masteriza [31]
Answer: Leah is correct, it’s AAS

Explanation: angle C = angle N
angle B = angle M
AB = LM
ABC = LMN, alternate interior angles of parallel lines are congruent
4 0
3 years ago
The quick computing company discovered that it costs 45$ to produce 2 calculators, 143$ to produce 4 calculators,and 869$ to pro
telo118 [61]
<span>Using the points (2, 45) (4, 143) and (10, 869), we can plug them into the following system of 3 equations using the y = ax^2 + bx + c format:

45 = a(2)^2 + b(2) + c
143 = a(4)^2 + b(4) + c
869 = a(10)^2 + b(10) + c

which simplifies to:

45 = 4a + 2b + c
143 = 16a + 4b + c
869 = 100a + 10b + c

Solving the system, we get a = 9, b = -5, and c = 19. Thus the equation is:

c(x) = 9x^2 - 5x + 19

If you have a TI graphing calculator, you can also enter the points by pressing Stat -> Edit and enter (2, 45) (4, 143) and (10, 869) into it. Go back and calculate the QuadReg of the points from the Calc tab and it will give you the same answer.

Now that we know the function that will produce the price of production for any number of calculators, plug in x = 7 and it will give you the price to produce 7 calculators.

c(x) = 9x^2 - 5x + 19
==> c(7) = 9(7)^2 - 5(7) + 19
==> c(7) = 441 - 35 + 19
==> c(7) = 425

Therefore, it costs $425 to produce 7 calculators.

Hope this helps.

</span>
6 0
3 years ago
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timofeeve [1]

Answer:

answer : A

Step-by-step explanation:

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4 0
3 years ago
What is the slope of the line that passes through the pair of points (2,12 and (6,11?
Sedaia [141]

slope = difference in y / difference in x

slope = 12 -11 / 2 -6

slope = 1 / -4

slope = -1 / 4 or

-.25

7 0
3 years ago
Find the factors.
Allisa [31]

Answer:

Step-by-step explanation:

36

=

 

48

=

0.5334

=

0.06

=

75.1

=

10

=

4 0
3 years ago
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