Mathematics

Geometry question about common areas

studying for an exam in a few days fwi theres a picture surrounded by a frame. the dimensions of the photo is 25cm by 20. what are the dimensions of the frame if the area of the border surrounding th

An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots)...

Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compu

Solve: ln(2x-3)+ln(x-2) = 2lnx

please solve the question above :) thanks-ln(2x-3) + ln(x-2) = 2lnx ln(2x-3) + ln(x-2) - 2lnx = 0 ln{[(2x-3)(x-2)] / ln(x^2)} = 0 [(2x^2 - 7x + 6) / x^2] = e^0 2x^2 - 7x + 6 = x^2 x^2 - 7x + 6 = 0 (x

Probability and statistics expected value

Definitely a challenge... A target has 3 concentric circles of 1, 3, and 5 inches, respectively. An archer scores 10 Pts for hitting a bullseye, 5 for hitting the middle, and 3 for hitting the outer r

Finding trig functions on TI calculators

I do not have a TI calculator but am often asked how to find trig functions and inverse trig functions when tutoring online. What keystrokes would I use to find, say, sin(37°) and arcsin(.72)? Thanks

How to write this quadratic equation

Roots are -2, 2/3, and i have to write it in factored form-Use FOIL (x +2)(x -2/3)=0 x^2 -2/3x +2x -4/3 = 0 x^2 +4/3x -4/3 = 0 (make it pretty if you want by eliminating fractions) 3x^2 +4x -4 = 0-(x

A couple of quadratic questions

1. sketch 2 parabolas which does not have any roots. explain. ^ how do i do that? like theres no graph or anything for it, and its only worth 1 mark. 2. factor 2x(x+1) - 2(x+1) 3. state the y-int.

Lagrange multipliers / optimization in multivariable calculus

We want to use the multivariable calculus tools to show that, given three positive numbers a; b and c, then (abc)^1/3 This inequality is called the arithmetic-geometric mean inequality. (a) First, sh

Math question??????????

a^2k+ka=-afor all positive values of a, what is the value of k? the answer is -1/a-1but i dont know how to get it can you please explain how to get the answer? thank you!!!-First move (-a) to the LH

Logarithms - Intercepts and Inverses

I am going back to college and Im hoping to test out of a math class.It has been years since HS, so any help would be greatly appreciated. Determine the intersection of the two logarithmic functions:

What is a shape with One octillion sides called

Tell me please. I just like to find out the names of shapes.-given that there isnt even an established name for a shape with over 30 sides, it isnt exactly written in stone. basic latin and greek affi

Trigonometric question

If sin alpha+sin beta=a and cos alpha+cos beta =b , show that 1. sin(alpha+beta)=2ab/a^2+b^2 a^2 means a square-sin α + sin ß = a(i)cos α + cos ß = b(ii) (i)2sin (α+ß)/2 cos (α-ß)/2 = a (ii)2cos (α+ß

Mathematical logic question !

how many people do u think need 2 b in a room before there is a 50/50 chance that 2 of them will have the same birthday????????-In probability theory, the birthday problem or birthday paradox pertains

You are going to visit your grandmother on Mother's day. You want to give her two cakes.

However, to get to her house you must cross seven bridges. At each bridge is a troll who demands ½ of all of your cakes as the price to pass. However, this troll, being a nice troll, feels bad and giv

Mismatched Joe is in a pitch dark room selecting socks from his drawer.

He has only six socks in his drawer, a mixture of black and white. If he chooses two socks, the chances that he draws out a white pair is 2/3. What are the chances that he draws out a black pair?-He h