Answer:
16
Step-by-step explanation:
Your weight is (roughly) proportional to the inverse of the square of the distance you are from the center of the earth. If that distance is reduced to 1/4 its previous value, then your weight will be multiplied by the factor ...
1/(1/4)² = 16
You would weigh 16 times as much.
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<em>Additional comment</em>
The distribution of mass within the earth also affects your weight.
Answer: 2.7777 hours
Step-by-step explanation: Here, we're asked to convert 10,000 seconds into hours.
Unfortunately, we don't have a conversion factor for seconds and hours. However, we know that 60 seconds = 1 minute and 60 minutes = 1 hour.
So we can convert 10,000 seconds into hours by using both of these conversion factors. Also, it's important to understand that when we go from a smaller unit, seconds, to a larger unit, hours, we divide.
So let's first convert 10,000 seconds into minutes by dividing 10,000 by the conversion factor, 60, to get 166.6666 minutes.
Next, we convert minutes to hours by dividing 166.6666 by the conversion factor, 60, to get 2.7777 hours.
So 10,000 seconds is approximately equal to 2.7777 hours.
Answer:
Step-by-step explanation:
So we have the expression:
And we wish to factor it.
First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:
This is a technique called quadratic u-substitution. Now, we can factor in this form.
We can use the numbers -3 and -2. So:
For the first two terms, factor out a u.
For the last two terms, factor out a -3. So:
Grouping:
Now, substitute back the x² for u:
And this is the simplest form.
And we're done!
Answer:
6.1
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) * h where b1 and b2 are the lengths of the bases
108.6 = 1/2 ( 12+p) *12
108.6 = 6 (12+p)
Divide each side by 6
108.6 /6 = 12+p
18.1 = 12+p
Subtract 12 from each side
18.1-12 = 12+p-12
6.1 = p
18$-8$book=20pencils that were 10$.
and Brian had 80 cards work: 80÷2= 40+10 new cards=50 cards
