11,550 km has to be changed to 11,550,000 meters

G · m · t² = 4 · π² · r³ we can change that to
t² = (4 · π² · r³) / (G · m )
t^2 = 4*PI^2*r^3 / (G*m)
t^2 = 4*PI^2*(11,550,000)^3 / 6.67*10^-11*5.98*10^24kg
t^2 = 6.083*10^22 / 3.99 * 10^14
t^2 = 152,500,000
t = 12,350 seconds
and its orbital distance it travels is 11,550 * 2*PI = 70,050 kilometers

Therefore, it is traveling at 70,050 km / 12,350 second which equals
5.67 km per second which is 5,670 meters per second.

Source:
http://www.1728.org/kepler3a.htm

4 0

2 years ago

A business has $25,000 to spend on training sessions for its employees. It wants 45 of its employees to attend. The business wan

lilavasa [31]

Answer: $x+y=45\\\\1000 x + 500y = $2500$

Step-by-step explanation:

Let x = Number of employees taking technology training

y= Number of employees taking customer service training

Given, The technology training costs $1,000 per person. The customer service training costs $500 per person.

Total cost = 1000 x + 500y

Since, Total cost = $25,000 and total employee to attend training= 45 .

That means , the required equations are:

$x+y=45\\\\1000 x + 500y = $2500$

5 0

2 years ago

On the island of liars each inhabitant lies with probability 2/3. You overhear an inhabitant making a statement. Next you ask an

bonufazy [111]

Answer:

The probability that the inhabitant spoke thruthfully given than the other one says so is 1/4.

Step-by-step explanation:

Let A be the event 'the first inhabitant speaks the truth' and B the event the person you asked speaks the truth'

We have that

P(A) = P(B) = 1/3

The second person will say that the first person speaks the truth if:

- Both are lying

- Both are saying the truth

The probability that both inhabitants lies is 2/3 * 2/3 = 4/9

The probability that both inhabitants speaks the truth is 1/3² = 1/9

Therefore, in this problem, we want to know P(A ∩ B | (A∩ B) ∪ (A^c ∩ B^c) )

(note that, since the second persons says that A didnt lie, then in order for it to be true then the second person have to also say the truth).

We know that P(A ∩ B) = 1/9 and P((A∩ B) ∪ (A^c ∩ B^c)) = 4/9 + 1/9 = 5/9. Using the bayes formula we have

P(A ∩B | (A∩ B) ∪ (A^c ∩ B^c) ) = P((A∩ B) ∪ (A^c ∩ B^c) | A ∩ B) * P(A∩ B)/ P((A∩ B) ∪ (A^c ∩ B^c))

Note that P((A∩ B) ∪ (A^c ∩ B^c) | A∩B) = 1 because the condition is more restrictive than the probability we are asking for, therefore

P(A ∩B | (A∩ B) ∪ (A^c ∩ B^c) ) = P(A∩ B)/P((A∩ B) ∪ (A^c ∩ B^c)) = (1/9) / (4/9) = 1/4.

The probability that the inhabitant spoke thruthfully given than the other one says so is 1/4.

7 0

2 years ago

Some of the steps in the derivation of the quadratic formula are shown. Step 4: Step 5: Step 6: Step 7: Which best explains why

Otrada [13]

Answer:

The square root of terms separated by addition and subtraction cannot be calculated individually.

Step-by-step explanation:

In order to calculate the square root, we would need a monomial or a factored expression. We do not have that, so we cannot take the square root.

6 0

1 year ago

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