Mathematics

How to rewrite the expression as a single logarithm: log 5 + log 20=

When you add logs you multiply the numbers after the logs so: log5 + log 20 = log 100 Similarly when you subtract logs you divide the numbers after the logs.-log(a) + log(b) = log(ab) so the answe

Tan(3x)=tanx(3-tan^2x)/1-3tan^2x

can you please help me prove this-tan(3x) = tan(x + 2x) = [ tan x + tan(2x) ] / [ 1 - tan(x) tan(2x)] = [ tan x + { 2 tan x / (1 - tan^2(x) } ] /[ 1 - tan x { 2 tan x / (1 - tan^2(x) ] = [tan x (

Do most people who know algebra...

learn it on their own or do they learn it in class ? Im asking cause Im trying to learn algebra on my own (Im taking a fundamentals of math class at my local community college) and its very hard. Sh

Find the critical numbers of f(x)=3x^4−36x^3−1512x^2.

a) Roots b) y-intercept c) Inflection points in (x,y) form d) Maximums in (x,y) form e) Minimums in (x,y) form-To find the critical numbers, set the derivative equal to 0 and solve for x: f(x) =

If the probability an event will occur is 1/2 determine a) the probability that the event will fail to occur

can someone help me with this? Not sure how to do it without the number of times the event occurred. I am confusedIf the probability an event will occur is 1/2determine a) the probability that the ev

Find the general equation of the line: y=(2)/(3)x-7

1.2x-3y=21 2.2x+3y=21 3.2x-3y=-21 4.2x+3y=-21-You have a line in the slope-intercept format. y = (2/3)x - 7 Use the normal rules for manipulating equations. For example, multiply both sides by 3 3y

Age 15 GCSE Maths question

Please explain how you got the answer, thank you! 7^5*7^6=7^3*7^kFind the value of K Thanks so much for helping me out-Since everything has a base of seven, just add the exponents where two powers

How to integrate : e^(x) dx / (e^(2x) - 25)

Let u = e^x, so du = e^x dx Then, we have du/(u^2 - 25) = du/(u + 5)(u - 5) Now, 1/(u + 5)(u - 5) = A/(u + 5) + B/(u - 5) so, 1 = A(u - 5) + B(u + 5) when u = 5, B = 1/10 and when u = - 5, A = -1/

Factoring? Help Please

9m(3m - 5)^2 + (3m - 5)^3 Heres a pic of the problem with the possible solutions: http://i55.tinypic.com/2cps5di.jpg Can someone show me the steps please? Thanks.-Whats the biggest factor you can t

How Can I Prepare For Calculus I

I need to get a B or better in at least one semester of Calculus in order to get into the Graduate program Im interested in. I didnt take Pre-Calc in high school, so Im kinda nervous. Is there anythin

How to solve this integral problem?

Test marketing for a new health-food snack product in a selected area suggests that sales (in thousands of dollars) will increase at a rate given by S(t) = 40 - 40e^(-0.16t), t months after an aggress

Express 7√(6)*5√(3) in the simplest radical form. Help

Okay, this is what I have so far: 7√6*5√3 =(7*5)(√6*√3) =35*√18 =35*√9*2 -Here is where it starts to get odd- =35*9√2 =315√2 At first I was wondering if the answer should be 315√2 or 630, so I checke

How to find the volume of this cylinder

O.K, so... it is 36 ft high and it has a radius of 14 ft. WHATS THE VOLUME??? 10 POINTS!-V = πr^2h i will use 22/7 for Pi V = (22/7) * 14^2 * 36 V = (22/7) * 196 * 36 V = 155232 / 7 V = 22,176

Solve the following differential equation (y(x)=C1___+C2___)

y+y+y=0 y(x)=C1___+C2___ What are the blanks and how do you go about solving this?Just an example of your train of thought would be amazingly helpful.Thanks for any help!-y+y+y=0 characteristic equ

If A and B are two matrices such that AB=B and BA=A, then A²+B²

the answer is A+B-given AB=A and BA=A A^2+B^2=AA+BB =BABA+ABAB =BBA+AAB(since ab=b and ba=a) =BA+AB(since ba=a and ab=b) =A+B(since ba=a and ab=b)