the gravitational attraction between two masses varies inversely as the square of the distance between them. if the attraction force between them is 75lbs when the bodies are eight feet apart, find the attraction when the masses are twelve feet apart

Answers

Answer 1

Answer:

  33 1/3 lb

Step-by-step explanation:

When the distance between them goes from 8 ft to 12 ft, it is 1.5 times what it was. Then the force will be multiplied by the inverse of the square of this:

  (75 lb)×1/(1.5²) = 75/2.25 lb = 33 1/3 lb

At 12 feet apart, the attraction force is 33 1/3 pounds.


Related Questions

Find the area of the shaded region.f(x)=4x+3x2−x3,g(x)=0
The area is _____.

Answers

Answer:

The answer is " [tex]\bold{\frac{7}{2}}[/tex]"

Step-by-step explanation:

Given value:

[tex]\to f(x)=4x+3x^2-x^3\\\\\to g(x)=0[/tex]

Find:

area=?

calculation:

[tex]\ Area = \int_{-1}^{0} -(4x+3x^2-x^3) dx + \int_{0}^{1} (4x+3x^2-x^3) dx \\\\[/tex]

        [tex]= -(2x^2+x^3- \frac{x^4}{4})_{-1}^{0} + (2x^2+x^3- \frac{x^4}{4})_{0}^{1}\\\\\\= -( 2x^2+x^3- \frac{x^4}{4})_{-1}^{0} + (2x^2+x^3- \frac{x^4}{4})_{0}^{1}\\\\\\= ( 2- 1 -\frac{1}{4}) + (2+1- \frac{1}{4})\\\\\\= ( \frac{8-4-1}{4}) + (\frac{8+4-1}{4})\\\\= ( \frac{3}{4}) + (\frac{11}{4})\\\\= \frac{3}{4} + \frac{11}{4}\\\\= \frac{11+3}{4}\\\\= \frac{14}{4}\\\\= \frac{7}{2}\\\\[/tex]

A different car seats. One car seat designed for a child up to and including 34lb. Another car seat designed for a child between 16 lb and 40lb. A third car seat is designed a child between 34lb and 90 lb, inclusive. Model those ranges with compound inequalities . Which car seats are appropriate for a 33lb child? The inequality for a child up to and including 34 lb is what?

Answers

Answer:

the first and second car seats are appropriate for a 33 lb. child. The first seat suits children up to 34 lb. The second seat suits children that weight between 16 to 40 lb.

The only seat that is not appropriate would be the third one that is too large, since children between 34 to 90 lb. should use it.

seat 1 ≤ 34 lb ⇒ simple inequality

16 lb < seat 2 and seat 2 < 40 lb ⇒ compound inequality

34 lb < seat 3 and seat 3 ≤ 90 lb ⇒ compound inequality

what is the Answer for 2(-4)

Answers

Answer2(-4)= -8 :

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

2×(-4)= -8

The answer will be negative because if you multiply a negative by a positive it will always be a negative.

Is 2^5 the same as 5^2? Yes or No?
Explain why please help me thank you!!

Answers

Answer:

No, they are not equivalent.

Step-by-step explanation:

2^5 means 2 to the 5th power, so we multiply it by itself 5 times.

2x2x2x2x2=32

Same as 5^2

5x5=25

32>25

There is your answer, no.

A basketball player makes 80% of his free throws. We set him on the free throw line and told him to shoot free throws until he misses. Let the random variable X be the number of free throws taken by the player until he misses. Assuming that his shots are independent, what is the probability of this player missing a free throw for the first time on the fifth attempt

Answers

Answer: 0.08192

Step-by-step explanation:

Given: Probability of free throws = 0.80

Then, probability of missing the free throw = 1-0.80=0.20

Now, According to the negative binomial probability distribution, the probability that the rth success is achieved in xth trial is given by ;-

[tex]P(X=x)= pC_{r-1}^{x-1}p^{r-1}(1-p)^{(x-r}[/tex]

Put p = 0.20 , x=5 and r =1, we get

The probability of this player missing a free throw for the first time on the fifth attempt as [tex](0.20)\ ^{5-1}C_{1-1}(0.20)^{1-1}(1-0.20)^{5-1}[/tex]

[tex]= (0.20)\ ^{4}C_{0}(0.20)^{0}(0.80)^{4}\\\\=(0.20)(1)(0.80)^4\\\\=(0.20)(0.4096)\\\\=0.08192[/tex]

hence the required probability =0.08192

Answer:0.08912

Step-by-step explanation:

Please I really need help

Answers

Answer:

Answer 1: 1

Answer 2: 11

Answer 3: 5

by adding answers from 1 ,2 and 3

we get,

Answer 4: 17

a number times 10 is equal to 28

Answers

Answer:

2.8

Step-by-step explanation:

2.8*10=28

Also, when you multiply 2.8 by 10, you can just move the decimal to the right once, giving you 28.

) One weekend, there were 98 pizzas ordered for the sophomore dorm. That weekend 19 customers ordered their pizza with just pepperoni, 16 customers ordered their pizza with just sausage, 20 ordered theirs with just onions, 15 ordered theirs with pepperoni and sausage, 9 ordered theirs with sausage and onions, 17 ordered theirs with pepperoni and onions, and 2 ordered theirs with all three items. How many customers ordered their pizza with pepperoni or sausage (or both)

Answers

Answer:

19+16+15=50 pizzas

Step-by-step explanation:

In the first 1/6 hour of a rain storm, 1/10 inch of rain fell. If the rain continues to fall at the same rate, how much rain fell in 2 1/2 hours?

Answers

Answer:

3/2 inches

Step-by-step explanation:

help asappp giving brainlist

−10= -0.8x+1.8(-4x+1)-7

Answers

Answer X= 0.6

Step-by-step explanation:

Find the volume of oxygen in a room with the dimensions of 144.78 cm x 198.12 cm x 144.78

Answers

Answer:

  4,152,842.53301 cm³ ≈ 4.1528 m³

Step-by-step explanation:

The volume of a rectilinear room of those dimensions will be the product of those dimensions:

  (144.78 cm)(198.12 cm)(144.78 cm) = 4,152,842.53301 cm³

A more appropriate unit for such a volume is cubic meters. There are a million cubic centimeters in a cubic meter, so the volume (to 5 significant digits) is ...

  4.1528 m³

_____

We assume that any oxygen is uniformly distributed in the space, so the volume of oxygen will be the same as the volume of the room.

_____

Additional comment

These dimensions correspond to those of a room that is 57 inches square and 78 inches high.

13 + 3y= 37 solve for y

Answers

Answer:

y = 8

Step-by-step explanation:

Step 1: Write out equation

13 + 3y = 37

Step 2: Subtract 13 on both sides

3y = 24

Step 3: Divide both sides by 3

y = 8

Answer:

y=8

Step-by-step explanation:

37-13 = 24

3y=24

3/24=8

y=8

Suppose a student just found out that she scored a 75 on her first statistics​ exam, with a​ z-score of 0.5. Her​ friend, who is in a different section with the same​ professor, also scored a 75 but had a​ z-score of −0.5. What can you conclude about the mean exam scores in the two​ classes?

Answers

Answer:

The mean exam scores in the second section is greater than the mean exam scores in the first section

Step-by-step explanation:

Here, we are interested in making a conclusion.

Mathematically;

z-score = (score - mean)/SD

so basically, what determines the sign of the z-score is dependent entirely on the mean.

If the mean is larger than the score, we will have a negative z-score. If the mean is smaller than the score, then will have a positive z-score

So basically what drives the sign is the mean value since the scores are the same for both students in this case, irrespective of the standard deviation in both classes.

So, for the first girl with a positive z-score, we can conclude that her score is larger than the mean; while for the second girl with a negative z-score, her score is smaller to the mean.

Thus, what we conclude here is that the mean score of the second section with the professor is greater than the mean score of the first section with the professor.

Bentley signed up for a streaming music service that costs $13 per month. The service allows Bentley to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.75 per song. How much total money would Bentley have to pay in a month in which he downloaded 10 songs? How much would he have to pay if he downloaded s songs

Answers

Answer:

multiply 0.75 × 10 = 7..50

0.0769 to the nearest hundred

Answers

Answer:

0.0800

Step-by-step explanation:

Answer:

[tex]0.0769[/tex] rounded to the nearest hundred is: [tex]0.08[/tex]

Step-by-step explanation:

Rounded to the nearest 0.01 or

the Hundredths Place.

Hope this helps you!

Find the area of a square with sides of length 6.5 inches

Answers

Answer:

A=42.25

Step-by-step explanation:

6.5^2

BRAINLIST! I put the picture down bellow its on equations A. Incorrect division or multiplication B. Incorrect addition or subtraction C. Failure to combine like terms D.Added terms instead of multiplying

Answers

Answer:

i think it is b .

Step-by-step explanation:

What is the value of the expression below after it has been simplified completely? (2)(3)-(6)(4) A. –24 B. –18 C. 18 D. 24

Answers

Answer:

B

Step-by-step explanation:

2x3=6 and 6x4=24 so 6-24= -18

Answer:

B

Step-by-step explanation:

-18

Mark and robyn used base-ten blocks to show that 200 is 100 times as much as 2. Whose model makes sense whose model is nonsense? Example your reasoning

Answers

Answer:

Robyn model makes more sense and Mark's is nonsense

Step-by-step explanation:

In this question ,calculations not required .All we have to do is consider each model logically .

Marks

Marks model shows 20 rather than 2 which means 200 is 10 times as much as 20. It does not make any sense.

Robyn

Robyn model shows 2 which means 200 is 100 times as much as 2 and this is not only correct but also makes sense because 100 *2=200

Identify the constraints modeled by this graph.

Answers

Use the methods transformation bisects cutting lines and that what the graph is the answer look at the points

a brownie recipe requires 2/3 cup of sugar for 1/3 batch of brownies. how much sugar is need for 1 batch of brownies?

Answers

Answer: 2 Cups

Step-by-step explanation:

1/3 * 3 = 1

2/3 * 2 = 2

Answer:

you will need 2 cups of sugar for 1 batch of brownies

Step-by-step explanation:

2/3 cup ×3 = 6/3 cups or 2 cups

If 25% of a number is 30, then what is 40% of the same number?

Answers

Divide 30 by 25% to find the full amount:

30/0.25 = 120

Now multiply the full amount by 40%:

120 x 0.40 = 30

You work at a coffee shop and they pay you $12.80 an hour. If you work 34
works this week, what is your straight-time pay?

A. $435.20
B. $438.80
C. $442.20
D. $444.60
E. $446.40
F. $448.20

Answers

Answer:

answer is A $435.20

Step-by-step explanation:

I guess I was help full for u

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There are many ways to produce crooked dice. To load a die so that 6 comes up too often and 1 , which is opposite 6 , comes up too seldom, add a bit of lead to the filling of the spot on the 1 face. If a die is loaded so that 6 comes up with probability 0.2 and the probabilities of the 2,3,4 , and 5 faces are not affected, which of the choices is the correct assignment of probabilities to the six faces

Answers

Answer:

1            2                  3             4            5       6

2 ÷ 15   1 ÷ 6           1 ÷ 6        1 ÷ 6     1 ÷ 6    1 ÷ 5

Step-by-step explanation:

As it is mentioned in the question that the probability of faces like 2,3,4,5 are not affected so in this case

P(2) = P(3) = P(4) = P(5) = 1 ÷ 6

And,  P(6) = 0.2

As we know that

P(1) + P(2) +P(3) +P(4) +P(5) +P(6) = 1

This results P(1) = 2 ÷ 15

So,

1            2                  3             4            5       6

2 ÷ 15   1 ÷ 6           1 ÷ 6        1 ÷ 6     1 ÷ 6    1 ÷ 5

Hence, the correct option is 2nd

If Carlos had saved $9.00 from his allowance to spent at jo jo’s arcade , how many games could he play first 3 games for then aft 75 cents a game

Answers

Answer:

15 games

Step-by-step explanation:

9 divided by 0.75 = 12

12 + 3 free games = 15

The unit for density is a derived unit. True or False

Answers

Answer:

true

Step-by-step explanation:

Answer:

TRUE is the answer.

The unit for density is a derived unit.

A cylindrical container has a height of 24 inches. Currently, the container is filled with water to a height of 18 inches. A leaky faucet drips into the container, causing the height of the water in the container to increase by 2 inches per hour. The equation below can be used to find t, the number of hours it would take to fill the container.
18 + ?t = 24
What number should be the coefficient of t?
2
3
18
24

Answers

Given:
height of cylindrical container = 24 inches
height of water in container = 18 inches
leaky faucet increases water by 2 inches per hour.

18 + ?t = 24

The coefficient of t is 2.

18 + 2t = 24
2t = 24 - 18
2t = 6
2t/2 = 6/2
t = 3

It would take 3 hours to fill the container.

18 + 2t = 24
18 + 2(3) = 24
18 + 6 = 24
24 = 24

Hope this helps!!
, CookyKpopStan

Answer:

a) 2

Step-by-step explanation:

got it right on edge 2021 || pls mark brainliest

Of 150 goldfish in the fish pound, 27 are red. What percentage of goldfish are red?

Answers

To get the percent, divide 27 by 150 then multiply the quotient by 100.

(27 / 150) * 100 = 18%

Solve |2x - 1| + 3 = 6.

Answers

Answer:

x =2                         x = -1

Step-by-step explanation:

|2x - 1| + 3 = 6.

Subtract 3 from each side

|2x - 1| + 3-3 = 6-3

|2x - 1|= 3

An absolute value has two solutions, one positive and one negative

2x-1 =3                   2x -1 = -3

Add 1 to all sides

2x-1+1 =3+1             2x-1+1 = -3+1

2x = 4                      2x =-2

Divide by 2

2x/2 = 4/2                 2x/2 = -2/2

x =2                         x = -1

Steps to solve:

|2x - 1| + 3 = 6

~Subtract 3 to both sides

|2x - 1| = 3

~Since we are working with an absolute value, one answer will be positive and one will be negative.

2x - 1 = 3

~Add 1 to both sides

2x = 4

~Divide 2 to both sides

x = 2

2x - 1 = -3

~Add 1 to both sides

2x = -2

~Divide 2 to both sides

x = -1

Best of Luck!

6^-2 = PLEASE HELP .....................................................................

Answers

Answer:

6^-2 =0.02777777777

Step-by-step explanation:

6^-2 is 0.02777repeating

it could also round up to 0.03 if you want it simplified
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