Answer:
35
Step-by-step explanation:
35
Answer:
9.3
Step-by-step explanation:
last week she worked 45.6 hours. since 40 hours is the limit for normal working hours, she worked 45.6-40 = 5.6 hours overtime.
this week she worked 9.7+8.3+8+9.1+8.6 hours = 43.7 hours.
she worked therefore 43.7-40 = 3.7 hours overtime.
so, in total of the two weeks, she worked 5.6+3.7 = 9.3 hours overtime.
Answer:
-x¹⁴ / 5040
-½ < x < ½
Step-by-step explanation:
f(x) = e^(-x²)
The Taylor series for eˣ centered at 0 is:
eˣ = ∑ (1/n!) xⁿ
Substitute -x²:
e^(-x²) = ∑ (1/n!) (-x²)ⁿ
e^(-x²) = ∑ (1/n!) (-1)ⁿ x²ⁿ
The 14th degree term occurs at n=7.
(1/7!) (-1)⁷ x¹⁴
-x¹⁴ / 5040
ln(1 + x) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ xⁿ / n
If we substitute 4x²:
ln(1 + 4x²) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ (4x²)ⁿ / n
Using ratio test:
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(-1)ⁿ⁺² (4x²)ⁿ⁺¹ / (n+1)] / [(-1)ⁿ⁺¹ (4x²)ⁿ / n]│< 1
lim(n→∞)│-1 (4x²) n / (n+1)│< 1
4x² < 1
x² < ¼
-½ < x < ½
Answer:
-26
Step-by-step explanation:
first substitute -2 for x : 2(-2)+5(-2)-12
-4+-10-12
-14-12
-26
-26 is your answer
pls mark me brainliest if this helps !
Answer:
C & D
Step-by-step explanation:
A. = 48 cubic units
B. = 48 cubic units
C. = 64 cubic units
D. = 44 cubic units
