We are given the data ho equal to 704 feet and vo equal to 112 feet per second. We apply then kinematics equation: h = ho + vot - 1/2 gt2. Substituting to the given equation,
h = 704 + 112t - 1/2 * 32*t2when h is equal to zero,0 = 704 + 112t - 1/2 * 32*t2t is equal to 11 seconds
First, you add the values you're looking for (green and black, 4+3=7)you make a fraction over the total number of marbles(20). then you multiply the fraction by 5 because you drew 100 times(20×5=100).
Answer:
The length of other base is <u>30 in</u>.
Step-by-step explanation:
Given:
A trapezoid has an area of 184 in^2. The height is 8 in and the length of one base is 16 in.
Now, to get the length of other base.
Let the length of other base be
Area of trapezoid = 184 in².
Height of trapezoid () = 8 in.
Length of one base (a) = 16 in.
Now, to get the length of other base of trapezoid we solve an equation:
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<em>Subtracting both sides by 64 we get:</em>
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<em>Dividing both sides by 4 we get:</em>
Therefore, the length of other base is 30 in.
A+b
34+(-6)
34-6
28
I think I did this write
Answer:
See explanation below.
Step-by-step explanation:
The prime numbers are bold:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
18 19 20 21 22 23 24 25 26 27 28 29 30 31
a) We can see that as we go higher, twin primes seem less frequent but even considering that, there is an infinite number of twin primes. If you go high enough you will still eventually find a prime that is separated from the next prime number by just one composite number.
b) I think it's interesting the amount of time that has been devoted to prove this conjecture and the amount of mathematicians who have been involved in this. One of the most interesting facts was that in 2004 a purported proof (by R. F. Arenstorf) of the conjecture was published but a serious error was found on it so the conjecture remains open.