Mathematics

Solve the following equations: Sin2x = Cosx , 0 <= x <= π

1) Sin2x = Cosx , 0 2) tan 2x = 0 , -2 π -1) sin2x is equal to 2sinxcosx. So: 2sinxcosx=cosx Divide both sides by cos x and you have: 2sinx=1 Rearrange to find x: sinx=1/2 So: x = 0.524 radians Fin

Algebra help!!! what is the square root of x+3= the square root of 3x-6

please explain step by step-√(x + 3) = √(3x - 6); square both sides √(x + 3)^2 = √(3x - 6)^2; simplify x + 3 = 3x - 6; subtract 3x from both sides x - 3x + 3 = 3x - 3x - 6; simplify -2x + 3 = -6; subt

Prove by mathematical induction that (n^3)/3 + (n^5)/5 + 7n/15 is an integer

I started to use algebra to work with this (using n+1), but I have no idea where exactly to go with it. Assistance would be greatly appreciated.-True for n=1, 1/3+1/5+7/15=1 which is an integer True f

Algebra 2 questions help please

1) what are the x-intercepts of the graph of y=12x^2 - 5x - 2? 2) What are the solutions to the equation 1+ 1/x^2 = 3/x?-y = 12x² - 5x - 2 = 12x² - 8x + 3x - 2 = (4x + 1)(3x - 2) so x intercepts are

Bayes Theorem Question

A box contains 3 blue and 2 red marbles while another box contains 2 blue and 5 red marbles. A marble drawn at random from one of the boxes turns out to be blue. What is the probability that it came

GRADE TEN MATH - HELP!

Okay this is an application of a quadratic function... how would you solve this question?? the function h=-5t^2 + 25t + 1 models the height, h metres, of a baseball as a function of the time, t second

This is a Math question please read it below

Candis has an 11-liter can and a 5-liter. How can she measure out exactly 7 liters of water into a third unmarked container?-Lets call the 11 litre can A Lets call the 5 litre can B Lets call the unma

Mrs.Boyko has a trust fund from which she withdraws 5% each year. if the fund has a value of $50,000 this year

what will be the value of the fund after 10 years? thanks!-If she takes out 5%, that leaves her with 95% of her original amount. Each year she will have 95% of her previous years money left. This is t

Convergence and absolute convergence

Could anyone please help me with this problem? Study convergence and absolute convergence 1). ∑(k=1→∞)(-1)^k/√(k(k+1)) 2). ∑(k=1→∞) (5^k/k)*(x-2)^k Thanks a lot for looking and helping!-1) The fir

How can i change the subject of this formula in algebra please

Im really confused on what to do, these are the equations: Y = 2x + 4 5 = 2x -3y Thanks :) x-2*x = y - 4 x = (y - 4)/2 = (1/2)*y - 2 2*x = 5 + 3*y x = (3/2)*x + 5/2 3*y = 2*x - 5 y = (2/3)*x -

How would I round 54.920

Would it be 55.0 or 54.92? My worksheet says if necessary, round to two decimals.Please help me?-54.92 to two decimal places. 55 to the nearest whole number. When you are rounding up or down. If its

Law of Sines Word Problem help. 10 points

Could someone please give me a Law of Sines Word Problem with four multiple choice answers? Thanks a lot!-Question.....a triangle with sides A, B and C has angles a, b and c If A = 10 andc = 45 degre

The equation x2 + (y + 4)2 = 49 models the boundary on a local map for which Darren can hear his friend Tom on

The equation x2 + (y + 4)2 = 49 models the boundary on a local map for which Darren can hear his friend Tom on his two-way radio when Darren is at home. How far (in miles) can Tom walk from Darrens ho

The center of a circle is at (7, -3) and it has a radius of 9. What is the equation of the circle

(x - 7)^2 + (y + 3)^2 = 3 (x - 7)^2 + (y + 3)^2 = 81 (x + 7)^2 + (y - 3)^2 = 3 (x + 7)^2 + (y - 3)^2 = 81-The equation for a circle centered at (h, k) and with radius r is given by: (x - h)² + (y - k

10 POINTS!♥ 3 math questions. . .

1) 2/5x+1/9 a) 1/15x b) 3+x/9x c) 3+x/45x d) 18+5x/45x 2) 2/3x+4 + 6/x+2 a) 4/2x+3 b) 8/4x+6 c) 4(5x+7)/(3x+4)(x+2) d) 20x+7/3x^2+4x+8 3) 8 + x-4/x+3 a) 8x-32/x+3 b) 9x+20/x+3 c) 8(x-4)/(8x+3) d) 8x