You're starting at 400. Each time you're cutting in half.

So the common ratio is 1/2 which means the equation is

$\Large y = 400(1/2)^{x-1}$

which is in the geometric sequence format. So the answer is choice D

3 0

3 years ago

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The ratio of the number of girls to the number of boys in a choir is 5 to 4. There are 120 girls in the choir. How many boys are

Alexxx [7]

Answer:

Step-by-step explanation:

5:4

Both sides have to be equal.

120 divided by 5 is 24.

4 times 24 is <u>96</u>.

4 0

2 years ago

Differentiate the function. f(x) = sin(9 ln(x))

gayaneshka [121]

Answer: $f'(x)=\dfrac{9\cos(9\ln (x))}{x}$ .

Step-by-step explanation:

The given function is

$f(x)=\sin(9\ln (x))$

Using chain rule differentiate w.r.t. x.

$f'(x)=\cos(9\ln (x))\dfrac{d}{dx}(9\ln (x))$ $\left[\because \dfrac{d}{dx}\sin x=\cos x\right]$

$f'(x)=\cos(9\ln (x))\left[9\dfrac{d}{dx}(\ln (x))\right]$

$f'(x)=\cos(9\ln (x))\left[9\times \dfrac{1}{x}\right]$ $\left[\because \dfrac{d}{dx}\ln x=\dfrac{1}{x}\right]$

$f'(x)=\dfrac{9\cos(9\ln (x))}{x}$

Therefore, $f'(x)=\dfrac{9\cos(9\ln (x))}{x}$ .

5 0

3 years ago

Mr. Walker gave his class the function f(x) = (x + 3)(x + 5). Four students made a claim about the function. Each student’s clai

damaskus [11]

Answer: stephen was correct

Step-by-step explanation:

i just did it now

7 0

3 years ago