The value of 
is 
Step-by-step explanation:
To find the value of , let us find the value of each angle.
The value of 
The value of 
The value of 
The value of 
Substituting the values of sin, we get,
Multiplying the values of sin, we get,
Thus, the value of is
Answer:
50 employees
Step-by-step explanation:
We can set up a proportion which would be
4/x = 8/100
This shows 4 out of x people is the same as 8% of 100.
We divide 100 by 8, and then multiply by 4 to get 50.
We can check this by plugging 50 into the proportion.
4/50 = 0.08
8/100= 0.08
There are 50 total employees at the shop.
To expand (3 - 2x)^6 use the binomial theorem:
(x + y)^ n = C(n,0) x^ny^0 + C(n,1)x^(n-1) y + C(n,2)x^(n-2) y^2 + ...+ C(n,n+1)xy^(n-1) + C(n,n)x^0y^n
So, for x = 3, y = -2x , and n = 6 you get:
(3 - 2x) ^6 = C(6,0)(3)^6 + C(6,1)(3)^5 (-2x) + C(6,2) (3)^4 (-2x)^3 + C(6,3) (3^3) (-2x)^4 + C(6,4)(3)^2 (-2x)^4 + C(6,5) (3) (-2x)^5 + C(6,6) (-2x)^6
So, the sixth term is C(6,5)(3)(-2x)^5 = 6! / [5! (6-5)! ] * 3 * (-2)^5 x^5 = - 6*3*32 = - 576 x^5.
The coefficient of that term is - 576.
Answer: - 576
Answer:
C
Step-by-step explanation:
Consumed = 1500
Burned = 400
Calorie Count total = 1500 - 400 = 1100
His target is 1900, so he will need 1900 - 1100 = 800 calories to consume more
So, 1100 is NOT a viable solution because he will go over 1900 if that happens. Hence, C is the correct choice.
Answer:
The open interval of convergence is 1
Step-by-step explanation:
The detailed explanation is given in the attached document.
