Answer:
3a^4
Step-by-step explanation:
The cube root of an expression breaks the expression into a term which multiplies by itself twice to make the expression. For example, the ∛8 = 2 since 2*2*2 = 8. A cube root looks for factors which form a group of 3 to make the expression. Using this definition and example, find the cube root of 27a^12.
27 breaks into 3*3*3. So the cube root of 27 is 3.
a^12 breaks into (a^4)(a^4)(a^4). So the cube root is a^4.
Together the cube root of 27a^12 is 3a^4.
Answer:
-5/-3
Step-by-step explanation:
first y intercept=
-5/-3
P(x) = x^2 + 4x
y = x^2 + 4x
use the formula (b/2)^2 to find the new c value
(4/2)^2 = 4
add 4 to both sides
y + 4= x^2 + 4x + 4
y + 4= (x+2)^2
y= (x+2)^2 - 4
I believe the answer is 4/15.
<span>Don't forget S is measured in thousands of units so you are solving for :
100 < 74.5 + 43.75Sin(πt/6)
25.5 < 43.75Sin(πt/6)
Sin(πt/6) >25.5/43.75 = 0.582857
ASrcSin(πt/6) > 0.62224 radians
πt/6 > 0.62224
t > 6 x 0.62224/π = 1.1884 (4dp)
This initial value occurs when the sine value is increasing and it will reach its maximum value of 1 when Sin(πt/6) = Sinπ/2, that is when t = 3.
Consequently, monthly sales exceed 100,000 during the period between t = 1.1884 and 4.8116
[3 - 1.1884 = 1.8116 so the other extreme occurs at 3 + 1.8116]
Note : on the basis of these calculations, January is 0 ≤ t < 1 : February is 1 ≤ t < 2 :....May is 4 ≤ t < 5
So the period when sales exceed 100,000 occurs between Feb 6 and May 25 and annually thereafter.</span>
