Answer:
712 liters
Step-by-step explanation:
natural:synthetic = 5:8
For every 13 liters of Petrolyn, 8 are synthetic oil. So:
1157/13=89
89 x 8=712 liters of synthetic oil needed ..............
Answer: x = ± i , x = ±√2i are solution .
Step-by-step explanation:
Given : 
, use u substitution to solve.
To find : what are the solutions of the equation .
Solution : We have given that .
Let consider 
= u .
Substitute u = in given equation .
.
On factoring
.
Taking common
u( u+2) +1 (u+2) = 0.
On grouping
(u+1) (u+2) =0
Now, u+1 = 0 ⇒ u = -1.
u+2 = 0 ⇒ u = -2.
In term of x, plugging = u.
= -1 ; = -2.
taking square root both side
x = ± i
x = ±√2i.
Therefore, x = ± i , x = ±√2i are solution .
<span>Each player required 27.14 inches of fabric for their headband and wristband.
367.63in/39 players = 9.43in per wristband
761.53in/39 players+4 coaches = 17.71in per headband
(17.71*39)+(9.34*39) = 1058.46 total fabric used for players only
(1058.46)/39 = 27.14 inches of fabric used for each player individually</span>
Step-by-step explanation:
Find the next term of the Taylor series.
f⁽⁰⁾(x) = x^⅓
f⁽¹⁾(x) = ⅓ x^-⅔
f⁽²⁾(x) = -²/₉ x^-⁵/₃
f⁽³⁾(x) = ¹⁰/₂₇ x^-⁸/₃
f⁽⁴⁾(x) = -⁸⁰/₈₁ x^-¹¹/₃
So the fourth term would be:
(-⁸⁰/₈₁ z^-¹¹/₃) (x − 1)⁴ / 4!
For 0.8 ≤ z ≤ 1.2, │f⁽⁴⁾(z)│is a maximum at z = 0.8. Therefore:
│R₃(x)│≤ │(-⁸⁰/₈₁ (0.8)^-¹¹/₃) (0.8 − 1)⁴ / 4!│
│R₃(x)│≤ 0.00014923
Looks like you accidentally wrote an extra zero.
We know that perimeter is the length of the sides added together, and the all sides of a square are equal. If one side of the window is 36 inches long, then all of the sides are 26 inches long.
perimeter = 36in + 36in + <span>36in + 36in = 144in
The perimeter of the window is 144 inches</span>
