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Irina18 [472]
4 years ago
13

the gravitational attraction between two masses varies inversely as the square of the distance between them. if the attraction f

orce between them is 75lbs when the bodies are eight feet apart, find the attraction when the masses are twelve feet apart
Mathematics
1 answer:
Marat540 [252]4 years ago
8 0

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.

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My sister needs help !!!!!!!
yuradex [85]
A coin has one of two outcomes: heads or tails.
Each has an equal probability of occurring, meaning that they each have a 50% chance to occur. (They need to add up to 100% because they include all the outcomes, divide that into two equal parts and...)

This is what we call theoretical probability. It's a guess as to how probability <em>should</em> work. Like in the experiment, it's not always going to be 50-50.

What <em>actually happens</em> is called experimental probability. This may vary slightly from theoretical probability because you can't predict probability with complete certainty, you can only say what is <em>most likely to happen</em>.

We want to find the probability of getting heads in our experiment so we can compare it to the theoretical outcome. To do this, we need to compare the number of heads to the total number of outcomes.

We have 63 heads, and a total of 150 coin flips.
That makes the probability of getting a heads 63/150.
The hard part is getting this ratio into a percent.

You can try simply dividing, but you should be able to notice something here.
SInce the top and the bottom of our fraction are both divisible by 3, we can <em>simiplify</em>.
63 ÷ 3 = 21
150 ÷ 3 = 50
So we could say that 63/150 = 21/50.

A percent is basically a fraction out of 100.
Just like you can divide the parts of a ratio by the same number and it will stay the same, you can also multiply. To get the fraction out of 100, let's multiply by 2.
(since 50 × 2 = 100)

21 × 2 = 42
50 × 2 = 100
21/50 = 42/100 = 42%

Comparing our experimental probability to the theoretical one...it is 8% lower.
7 0
3 years ago
Read 2 more answers
Eva is building a house. The basement floor is at -15 feet. The roof of the house is above the ground 25 feet. Write an inequali
Marysya12 [62]
<span>lack of smoothness or regularity in a surface.
</span><span>difference in size, degree, circumstances
 lack of equality
</span><span>the relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”</span>
5 0
3 years ago
Oh, boy! Look at that monthly payment from Question 2 above! Molly cannot afford the monthly payment using the 0% financing. She
viktelen [127]

The car payment plan that has an APR of 1.9% is, on the short term, pocket

friendly.

The correct responses are;

  • First part: The amount of loan Molly needs is <u>$22,495</u>
  • Second part: Molly's monthly payment will be approximately <u>$286.2</u>
  • Third part: The total interest Molly will pay using the plan is approximately <u>$1,545.8</u>
  • Fourth part: The amount the car costs Molly using the plan is approximately <u>$26,540.8</u>

Reasons:

The question parameters are;

Molly is comparing Auto Loans on Jeep website

Selling price of the Jeep, P = $25,495

The down payment Molly has = $2,500

The Cash Allowance = $500

Number of months of payment, n = 84 months

The Annual Percentage Rate, APR, <em>r</em> = 1.9%

First Part:

Loan needed = $25,495 - $2,500 - $500 = $22,495

The amount of loan Molly needs = <u>$22,495</u>

Second Part:

The monthly payment is given by the formula;

  • \displaystyle M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}

Therefore;

\displaystyle M = \dfrac{22,495 \times \left(\dfrac{0.019}{12} \right) \times  \left(1+\dfrac{0.019}{12} \right)^{84} }{\left(1+\dfrac{0.019}{12} \right)^{84} - 1} \approx \mathbf{286.2}

Molly's monthly payment will be <em>M</em> ≈ <u>$286.2</u>

Third part:

The total interest, <em>I</em> = Sum of payment - Loan amount

∴ The total interest, <em>I </em>≈ $286.2/month × 84 month - $22,495 ≈ $1,545.8

The total interest Molly will pay using the loan, <em>I</em> ≈ <u>$1,545.8</u>

Fourth part:

The cost of the car, <em>C</em>, using the 1.9% APR financing plan is the sum of the down payment plus sum of the loan repayment

Therefore;

C ≈ $2,500 + $286.2/month × 84 months = $26,540.8

The cost of the car using the 1.9% APR financing plan, C ≈ <u>$26,540.8</u>

<em>The question parameters obtained from a similar question are;</em>

<em>Selling price of the car = $25,495</em>

<em>Financing = 1.9% APR for 84 months with a cash allowance of $500</em>

Learn more about loan payment here:

brainly.com/question/1040657

3 0
3 years ago
in the backwaters of Kerala a boatman was throwing a Boat using a long pole of length 4.80 when he put the pole vertically into
Hitman42 [59]

Answer:

3.60m

Step-by-step explanation:

In backwaters of Kerala, a boatman was throwing a boat with a long pole which has a length of 4.80m

The boatman put the pole into the water vertically, the part of the pole that was seen above the water level is 0.25m

The first step is to calculate the length of the pole that is seen above the water level

= 4.80 × 0.25

= 1.20m

Therefore the depth of the water at that point can be calculated as follows

=4.80m - 1.20m

= 3.60m

Hence the depth of the water at that point is 3.60m

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3 years ago
PLz answer this Question
Lelu [443]
-3,6 i'm pretty sure
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