F = 1.8C + 32
С = -10 ⇒ F = 1.8·(-10) + 32 = 14 ⇒
(-10, 14)С = 0 ⇒ F = 1.8·(0) + 32 = 32 ⇒
(0, 32)
С = 10 ⇒ F = 1.8·(10) + 32 = 50 ⇒
(10, 50)С = 20 ⇒ F = 1.8·(20) + 32 = 68 ⇒
(20, 68)
Here's a pattern to consider:
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.
Quick note
We can use a formula to find out the sum of an arithmetic series:
Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.
The time taken by the two men will be equal to 26 hours
<h3>What is speed?</h3>
The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.
here two men are walking at different speeds like
v₁=6 miles per hour
v₂=10 miles per hour
The time taken by them to separated by the distance of 100 miles each so that both of them separated by the distance of 200 miles.
t₁= {100}/{6}=16.66 hours
t₂= {100}/{10}=10 hours
total time taken will be
t₁+t₂=16.66+10=26.66 hours
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Hello,
x^3-12x²-2x+24=x²(x-12)-2(x-12)=(x-12)(x²-2)
Answer D
