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

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

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

Answer X= 0.6

Step-by-step explanation:

Answer:

15 games

Step-by-step explanation:

9 divided by 0.75 = 12

12 + 3 free games = 15

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

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

Answer:

6^-2 =0.02777777777

Step-by-step explanation:

Answer:

A=42.25

Step-by-step explanation:

6.5^2

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.

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:

Answer:

19+16+15=50 pizzas

Step-by-step explanation:

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!

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

(27 / 150) * 100 = 18%

Answer:

i think it is b .

Step-by-step explanation:

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.

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]

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.

Answer:

Answer 1: 1

Answer 2: 11

Answer 3: 5

by adding answers from 1 ,2 and 3

we get,

Answer 4: 17

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

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!

Answer:

multiply 0.75 × 10 = 7..50

Answer:

a) 2

Step-by-step explanation:

got it right on edge 2021 || pls mark brainliest

Answer:

B

Step-by-step explanation:

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

Answer:

B

Step-by-step explanation:

-18

Answer:

true

Step-by-step explanation:

Answer:

TRUE is the answer.

The unit for density is a derived unit.

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.

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

Answer:

answer is A $435.20

Step-by-step explanation:

I guess I was help full for u

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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.

Answer:

3/2 inches

Step-by-step explanation: