Answer:
x = 4
Step-by-step explanation:
We can find the answer to this by solving the equation:
3x - 4 = 8
3x - 4 + 4 = 8 + 4
3x = 12
x = 4
To get the function y = <span>-2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))
Equate to zero</span>:
<span>5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8
Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86
</span>
Answer:
answer: he spent $120
Step-by-step explanation:
20×5=100
100+ the initial $20 spent = $120
Answer:3
Step-by-step explanation:
Given
There are total 40 students in a class
No of students with Pierced Nose n(N)=7
No of students with Pierced ear n(E)=36
and we know using sets

where
Students either nose or ear Pierced
no of students having both nose and ear pierced


Answer:
5
Step-by-step explanation:
multiplied by 
which makes: 
simplify: 5