Given two functions are
f(x) = 2 cos(x)
g(x) = 3 sin(x+ 
)
We know that the maximum value of cos x and sin x is always 1
y= maximum of cos = 1
y= maximum of sin =1
f(x) = 2 cos(x)
y= 2 (max of cos) = 2(1) = 2
g(x) = 3 sin(x+ )
y= 3 (max of sin) = 3(1) = 3
g(x) = 3 sin(x+ ) has the maximum value.
I think that 30 bulbs are expected to be defective.
The volume formula is length x width x height. 7x5x12=420 cubic inches
Answer: $638.40
Step-by-step explanation:
45% converted to a decimal is 0.45
0.45 of $1200 = 0.45* $1200 (of in this case means multiply)
0.45 * $1200= $440
Because they said 11% of remaining salary, we have to do:
$1200-$440=$760
Now 11% converted to a decimal is 0.11
5% converted to a decimal is 0.05
So 0.11+0.05
0.11+0.05= 0.16
Now 0.16 *$760=$121.60
Now we find the remaining amount so we subtract: $760-$121.60= $638.40
So our answer is $638.40 left
