Since sin(2x)=2sinxcosx, we can plug that in to get sin(4x)=2sin(2x)cos(2x)=2*2sinxcosxcos(2x)=4sinxcosxcos(2x). Since cos(2x) = cos^2x-sin^2x, we plug that in. In addition, cos4x=cos^2(2x)-sin^2(2x). Next, since cos^2x=(1+cos(2x))/2 and sin^2x= (1-cos(2x))/2, we plug those in to end up with 4sinxcosxcos(2x)-((1+cos(2x))/2-(1-cos(2x))/2)
=4sinxcosxcos(2x)-(2cos(2x)/2)=4sinxcosxcos(2x)-cos(2x)
=cos(2x)*(4sinxcosx-1). Since sinxcosx=sin(2x), we plug that back in to end up with cos(2x)*(4sin(2x)-1)
Answer:600
Step-by-step explanation: 6 times 10 times 10 equals to 600 because 6 times 10 is 60 and 60 times 10 is 600
Answer:
it would take 1 4/10 gallons of milk to make 1 gallon of ice cream.
Step-by-step explanation:
4.5/1=6.3/x
4.5x=6.3
x=1.4
hope that helps have a good day
Answer:
99.7%
Step-by-step explanation:
Mean number of passengers (μ) = 180 passengers
Standard deviation (σ) = 20 passengers
The number of standard deviation from the mean for the lower and upper bounds of the 120 to 240 passengers intervals are:

Therefore, all of the data is within 3 standard deviations from the mean. According to the empirical rule, 99.7% of the data is within 3 standard deviations from the mean. Therefore, we can assert with a 99.7% probability that there will be between 120 and 240 passengers.