Recent content by Monoxdifly

The possible values are 60°, 120°, 240°, 300°. Add them all up and we got 720°. So the answer is ##4\pi##?

TL;DR Summary: Asking about trigonometric inequality which I'm sure about the result. The set of all real numbers in the interval [0,2\pi] which satisfy 2sin^2x\geq3cos2x+3 takes the form of [a,b]\cup[c,d]. The value of a + b + c + d + e is .... A. 4\pi B. 5\pi C. 6\pi D. 7\pi E. 8\pi What...

All I could deduce was 32 = 8 × 4, 18 = 9 × 2, and 17 = 17 × 1, with the first factors forming Fibonacci sequence and the second factors forming a geometric sequence with 0,5 rasio. Thus, the next number in the sequence would be (9 + 17) × 0.5 = 26 × 0.5 = 13. Anyway, here's another. 3, 7, 17...

Wait, so those seemingly random numbers in chemistry which made me give up on it was 2n2 all along? After I rechecked the book this question was in, indeed there is no space after the second comma and as you guessed, I'm from a country which uses comma as decimal point, so it was indeed...

Given a sequence 32, 16, 4, 18, 9, 3, .... The next numbers are .... A. 17, 8, 5 B. 17, 6 C. 17, 4 D. 16, 4 E. 14, 8 My train of thought was to group the sequence into three numbers, so we get (32, 16, 4) and (18, 9, 3). 32 is two times of 16 which is square of 4. 18 is two times of 9 which is...

Okay, thank you for all your answers. :)

A circle whose center is (2, 1) intercepts a line whose equation is 3x + 4y + 5 = 0 at point A and B. If the length of AB = 8, then the equation of the circle is ... A. $$x^2+y^2-24x-2y-20=0$$ B. $$x^2+y^2-24x-2y-4=0$$ C. $$x^2+y^2-12x-2y-11=0$$ D. $$x^2+y^2-4x-2y+1=0$$ E. $$x^2+y^2-4x-2y+4=0$$...

The remainder of $$p(x)=x^3+ax^2+4bx-1$$ divided by $$x^2+1$$ is –5a + 4b. If the remainder of p(x) divided by x + 1 is –a – 2, the value of 8ab is ... A. $$-\frac34$$ B. $$-\frac12$$ C. 0 D. 1 E. 3 Dividing p(x) by $$x^2+1$$ by $$x^2+1$$ with –5a + 4b as the remainder using long division, I...

Ah, I see. Thank you very much! :D

a(a/18)(1/2) = c (a^2)/36 = c a^2 = 36c a(p + q) = 5 a(a/18 + 1/2) = 5 (a^2)/18 + 1/2 a = 5 36c/18 + 1/2 a = 5 2c + 1/2 a = 5 1/2 a = 5 - 2c a = 10 - 4c c - a = c - (10 - 4c) = -3c - 10 Sorry, still stuck.

Given p and q are the roots of the quadratic equation $$ax^2-5x+c=0$$ with $$a\neq0$$. If $$p,q,\frac1{8pq}$$ forms a geometric sequence and $$log_a18+log_ap=1$$, the value of c – a is ... A. $$\frac13$$ B. $$\frac12$$ C. 3 D. 5 E. 7 Since $$p,q,\frac1{8pq}$$ is a geometric sequence, then...

Took me a while to understand that k = 30 comes from the factorization of $$k^2-k-870=0$$, but thank you. Now I understand. :)

In a bag there are m white balls and n red balls with mn = 200 and there are more white balls than red balls. If two balls are taken randomly at once and the probability of taking two different colored balls is $$\frac{40}{87}$$ then the value of 2m + 3n is ... A. 30 B. 45 C. 50 D. 70 E. 80...

Thank you.

Suppose the angles in triangle ABC is A, B, and C. If sin A + sin B = 2 sin C, the value of $$2tan\frac12Atan\frac12B$$ is ... A. $$\frac83$$ B. $$\sqrt6$$ C. $$\frac73$$ D. $$\frac23$$ E. $$\frac13\sqrt3$$ Since A, B, and C are the angles of triangle ABC, then C = 180° – (A + B) sin A + sin B...