Cos(12x) = cos(6x+6x) = cos6xcos6x -sin6xsin6x = cos^2(6x) -sin^2(6x)

1 - cos(12x) = 1 - (cos^2(6x) -sin^2(6x)) = sin^2(6x) +cos^2(6x) - cos^2(6x) +sin^2(6x) = 2sin^2(6x)

so choice A. is right sure

3 0

3 years ago

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At prestige university, the ratio of females to males is 3:1. if there are a total of 4811 students, how many are female?

Luden [163]

That'd be 3 / (3+1) times 4811 students, or 3608 students who are female.

The other fourth of the students are male.

5 0

3 years ago

A radioactive compound with mass of 260 grams decays at a rate of 3.8% per hour. Which equation represents how many grams of the

Dahasolnce [82]

The exponential equation that represents how many grams of the compound will remain after 8 hours is:

B: C=260(0.962)^8

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

A radioactive compound with mass of 260 grams decays at a rate of 3.8% per hour, hence the equation for the mass after t hours is given by:

$A(t) = 260(1 - 0.038)^t$

$A(t) = 260(0.962)^t$

After 8 hours, the amount is given by:

$A(t) = 260(0.962)^8$

Hence option B is correct.

More can be learned about exponential equations at brainly.com/question/25537936

7 0

2 years ago