# Posts by ianian

Total # Posts: 30

Math
210

maths
If the product of two positive integers is 363, and the least common multiple of them is 33, what is the sum of the two positive integers?

maths
If the product of two positive integers is 363, and the least common multiple of them is 33, what is the sum of the two positive integers?

Math
1

Maths
What is the sum of all possible real values of x that satisfies the equation 25[x(log5 x)]=x^3.

MAths
Let r1,r2,r3 be the roots of polynomial P(x)=x^3+3x+1. Evaluate the product 3 ∏ (r^2+r +1) k k k=1

maths
If the expression (x^2+2x−1)^8 is completely expanded, what is the sum of the coefficients of the terms with even powers of x? Details and assumptions 0 is an even number.

maths
Three roots of f(x)=x^4−2x^3+ax^2+bx+c are −5, −3 and 4. What is the value of a+b+c?

MAths
What is the sum of all possible real values of x that satisfies the equation xlog5x=x325.

MAths
What is the sum of all possible real values of x that satisfies the equation x x^log5 =x^3/25.

HELP!!!MATHS!!!
A video rental store offers 436 different movies for rent. The movies are categorized as Comedies, Action Movies, and Dramas. A movie may be in more than one of the categories. If 234 movies are categorized as Comedies, 97 as Action Movies, and 191 as Dramas, what's the ...

maths
i also dunno how to do :'(

physics
dont get it

physics
Tetherball is a game played by kids. The equipment consists of a volleyball on a string, with the other end of the string tied to the top of a post. Kids hit the ball back and forth around the post. Consider a volleyball of total mass 200 g attached to the top of a post by a 2...

physics
A pair of fuzzy dice are hanging by a string in my car from the rear-view mirror. I hit the gas pedal, and while I accelerate the fuzzy dice no longer hang straight down, but instead make an angle θ of 15 degrees with respect to the vertical. How fast am I accelerating in...

physics
Here's a neat trick. If your average ceramic bowl has a mass of 200 g, what is the difference in Newtons between the weight of the bowls on the top of her head before and after she does the trick? Details and assumptions The acceleration of gravity is −9.8 m/s2.

MAths
A unit square is drawn in the Cartesian plane with vertices at (0,0),(0,1),(1,0),(1,1). Two points P,Q are chosen uniformly at random, P from the boundary of the square and Q from the interior of the square. The line L1 through P and Q is drawn. The probability that the points...

maths
A point P is uniformly chosen inside a regular hexagon of side length 3. For each side of the hexagon a line is drawn from P to the point on that side which is closest to P. The probability that the sum of the lengths of these segments is less than or equal to 9√3 can be...

probability
There are 4 students in a class. A teacher wants them to each secretly choose a partner for a group project. If everyone independently chooses a partner randomly, the probability that everyone chooses a partner who chose him/her is P.

Γ is a circle with chord AB. P is a point outside of Γ such that PA is tangent to Γ and ∠BPA=90∘. If AB=48 and PB=8, what is the radius of Γ?

MAths
Raoul wants to create a weekly schedule for going to the gym. He wants to go to the gym the same three days each week, and he wants there to be at least one day in between each of his visits. How many different ways can Raoul schedule his weekly gym visits? Details and ...

Area of circle
PAC-MAN is a circle of radius 24 with a sector of angle π/3 removed. PAC-MAN eats circular pellets of radius 2. If PAC-MAN wants to eat pellets that have that same total area that he does, how many pellets must he eat?

MAths
Consider the following system of inequalities: (c−1)x^2+2cx+c+4≤0 ---- (1) cx^2+2(c+1)x+(c+1)≥0 ---- (2) The sum of all real values of c, such that the system has a unique solution, can be written as a/b, where a and b are coprime positive integers. What is ...

MATHS
Three roots of f(x)=x^4−2(x^3)+a(x^2)+bx+c are −5, −3 and 4. What is the value of a+b+c?

Maths
Consider all 3-term geometric sequences with first term 1 and with common ratio the square of an integer between 1 and 1000. How many of these 1000 geometric sequences have the property that the sum of the 3 terms is prime?

math
1

MATHS!!!!
For how many odd positive integers n<1000 does the number of positive divisors of n divide n?