Presumably, ln⁵(<em>x</em>) is the same as (ln(<em>x</em>))⁵ (as opposed to a quintuply-nested logarithm, log(log(log(log(log(<em>x</em>)))))).
Then substituting <em>u</em> = ln(<em>x</em>) and d<em>u</em> = d<em>x</em>/<em>x</em> gives
A bag contains 2 red, 5 blue, and 7 yellow marbles. Find the probability of drawing a yellow or a red.
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Using linear function concepts, it is found that the correct statements are given by:
- The number of biology degrees increases by about 2,414 each year after 2000.
- About 73,000 students graduated with degrees in psychology in 2000.
- In 2000, more students graduated with psychology degrees than biology degrees.
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.
In this problem, the number of college seniors who graduated with a bachelor's degree in psychology, in t years after 2000, is modeled by:
P(t) = 2,376t + 73,219.
For biology, the amount is given by:
B(t) = 2,414t + 56,545.
Then, the true statements are given by:
- The number of biology degrees increases by about 2,414 each year after 2000.
- About 73,000 students graduated with degrees in psychology in 2000.
- In 2000, more students graduated with psychology degrees than biology degrees.
More can be learned about linear function concepts at brainly.com/question/24808124