Answer:
The executive committee is often officially responsible for making a company's big decisions while another, unofficial group, led by the CEO, seems to hold the real decision-making power.
Explanation:
If the half-life is 5 minutes, then 30 minutes is equivalent to 6 half-lives. So, after six successive half-lives, the 400 mg of the radioisotope would have a mass of 400(0.5)⁶ = 6.25 mg.
Thus, A would be the correct answer choice here.
Subdividing [0, 1] into 10 equally spaced intervals of length
gives the partition
![[0,1] = \left[0,\dfrac1{10}\right] \cup \left[\dfrac1{10},\dfrac2{10}\right] \cup \cdots \cup \left[\dfrac9{10},1\right]](https://tex.z-dn.net/?f=%5B0%2C1%5D%20%3D%20%5Cleft%5B0%2C%5Cdfrac1%7B10%7D%5Cright%5D%20%5Ccup%20%5Cleft%5B%5Cdfrac1%7B10%7D%2C%5Cdfrac2%7B10%7D%5Cright%5D%20%5Ccup%20%5Ccdots%20%5Ccup%20%5Cleft%5B%5Cdfrac9%7B10%7D%2C1%5Cright%5D)
The
-th subinterval has left and right endpoints, respectively, given by

where
.
The midpoint of the
-th interval is the average of these,

We approximate the area under
over [0, 1] by the Riemann sum,

(D)
If the light waves are coming more frequently, then we know the star is moving toward earth. if the light waves are coming more slowly, we know the star is moving away. this is because the star gives the illusion that the light waves are coming at a slower pace when in fact, the frequency is the same the whole time