In a research experiment, a population of fruit flies is increasing according to the law of exponential growth, y=ae
bt where t is measured in days. If the population is 100 when t=0, and 300 when...

Let f(x)=3x^2, g(x)=9x-2, m(x)=4x, and r(x)=sqrt3x. Find and simplify the composite function.
1) r(g(x))----> I got sqrt(27x-6)
2) r(f(x))-----> I got 3x
3) g(m(f(x)))---> I got...

graph y=logx, y=log(10x), and y=log(100x). how do the graphs compare? use a property of logs to show that the graphs are vertical shifts of one another.

Sound in decibels is measured by comparing the sound intensity, I, to a benchmark sound Io
with intensity 10-16 watts/cm2, then noise level in decibels = 10log(I/Io)
1) the noise level of a...

The goal is to simplify the trig indentity expression as much as possible using the different fundamentals of identities like reciprocal identities, quotient identities, and pythagorean identitie...

Two cars race around a circular track, in opposite directions, at constant rates. They start at the same position and meet every 30 seconds. If they move in the same direction, they meet every 120...

The Problem is a word problem. A airplane leaves Los Angeles for Denver at a speed of 440 mph. Thirty minutes later a plane going from Denver to Los Angele leaves Denver with is 850 miles away at...

lines a(1) and a(2 in two-dimensional space intersect at a point, forming an acute angle A. the slope of a(1) is square root of 5 , and cos A= 2/9. What is the slope of a(2)? There are two answers,...