Given that
, we have for
the Taylor series expansion about 0 as
Replace
with
, so that the series is equivalent to
and notice that
Recall that for
, we have
which means
Answer:
8
Step-by-step explanation:
let the numbers be x,x+1,x+2
x+x+1+x+2=27
3x+3=27
3x=27-3=24
x=24/3=8
Factor out the trinomial. Find factors of x² and 6 that would, when added, give you 5x
x² = x * x
6 = 3 * 2
(x + 3)(x + 2) are your binomials.
To solve for x, set each parenthesis = 0
x + 3 = 0
x + 3 (-3) = 0 (-3)
x = -3
x + 2 = 0
x + 2 (-2) = 0 (-2)
x = -2
x = -3, -2
hope this helps
Answer:
1.5%.
Step-by-step explanation:
x per cent is written as 0.01x as a decimal fraction.
638.30 = 550(1 + 0.01x)^10
(1 + 0.01x)^10 = 638.30/550
Taking logarithms:
10 ln (1 + 0.01x) = ln ( 638.30/550)
ln (1 + 0.01x) = ln ( 638.30/550)/ 10
ln(1 + 0.01x) = 0.014889
Converting the logs:-
1 + 0.01x = e^0.014889 = 1.015
0.01x = 1 - 1.015
0.01x = 0.015
x = 0.015/ 0.01
= 1.5.
Answer:
3 miles per min
Step-by-step explanation:
3 miles x 15 (min) = 45 mph
