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# law of exponential growth, y=ae bt where t is measured in days. If the population is 100 when t=0, and 300 when t=4. Find a and b.

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...

# Composition of Functions

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...

# condense 2[lnx-ln(x+1)-ln(x-1)]

condensing logarithms

# Vertical shifts

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.

# TEST TOMORROW ! i just need a little help with this because...i was gone the day we learned this ...thanks :)

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...

# Doubling time

A population doubles in size every 15 years. Assuming exponential growth, find the annual growth rate.

# annual compound interest rate equivalent to continuous compound

what annual interest rate compounded annually is equivalent to an annual rate of 6% compounded continuously?

# These logarithms and exponential models are a bit confusing.. could you please help me fihure these out so i knos how to do the rest ? thank you :)

Give the starting value a, the growth rate r, and the continuous growth rate k. 1) Q=5*2t/8 2) Q=40e(t-5)/12 3) Q=2-(t-5)/3

# I'm a bit confused on how to find these

1) e^2x + e^2x =1 2) 2e^3x + e^3x=b---solve for x 3)e^-3lnt 4) 10^2+logx 5) e^7x = 5e^3x

18)Evaluate the sine cosine and tangent of the real number  t=(4)(3.14)/3   My answer Sin(t)=4/3 Cos(t)=3/4 Tan(t)=2/3   54)use a calculator to evaluate...

# e^2x=4e^x+5

solving for x by using logarithms

solving for x

# If f(x) = x2 + 6x + 10, find f(x - 2)

If f(x) = x2 + 6x + 10, find f(x - 2)

# How to simplify cot2x/csc2x

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...

# what are the roots of x in this equation (x + 2)(x - 2)

i have no idea... ive tried everything and cant seem to get it

# Without using a calculator, determine the number of real zeros of the function f(x) = x.3 + 4x.2 + x – 6.

how do i determine the number of real zeros of the function

# Quarter 1 POW #5

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 leav

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

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,...

# What is (1/x)/1-1/x

I am getting ready for a quiz, but I can't remember how to simplify this.