Hey there!
Our function is:
f(x) = 4^x
If we want to have f(3), we simply can plug in 3 to our answer, and evalutate from there:
f(x) = 4^3 =
4*4*4 =
16*4 =
64
We just calculated 4 to the fourth power, which is four times four times four times four. Therefore, 4 of four is equal to 64.
Hope this helps!
<span>=<span>14/15</span></span><span>(Decimal: 0.933333)</span>
Triangular sequence = n(n + 1)/2
If 630 is a triangular number, then:
n(n + 1)/2 = 630
Then n should be a positive whole number if 630 is a triangular number.
n(n + 1)/2 = 630
n(n + 1) = 2*630
n(n + 1) = 1260
n² + n = 1260
n² + n - 1260 = 0
By trial an error note that 1260 = 35 * 36
n² + n - 1260 = 0
Replace n with 36n - 35n
n² + 36n - 35n - 1260 = 0
n(n + 36) - 35(n + 36) = 0
(n + 36)(n - 35) = 0
n + 36 = 0 or n - 35 = 0
n = 0 - 36, or n = 0 + 35
n = -36, or 35
n can not be negative.
n = 35 is valid.
Since n is a positive whole number, that means 630 is a triangular number.
So the answer is True.
3/5n - 4/5 = 1/5n....multiply everything by 5 to get rid of the fractions
3n - 4 = n
-4 = n - 3n
-4 = -2n
-4/-2 = n
2 = n <==
Answer:
1/40
Step-by-step explanation:
everytime it goes over one it goes up 40
hope this helps
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