Mathslover Please help

How many of the first 1001 Fibonacci numbers are divisible by 3?

12 years ago

A 10 km race has 5 water stations set up around the course. What is the minimum number of people that must run in the race in order to guarantee that 10 people stop at the same set of water stations?

12 years ago

Let AB be the diameter of circle Γ1. In the interior of Γ1, there are circles Γ2 and Γ3 that are tangent to Γ1 at A and B, respectively. Γ2 and Γ3 are also externally tangent at C. This exterior tangent cuts Γ1 at P and Q, with PQ=20. The area that is wit...

12 years ago

The game Upright is played by two players on an m×n square board and has the following rules: At the start of the game, a kangaroo game piece is placed on the bottom left square of the board. Players alternate turns moving the kangaroo, and the first play...

12 years ago

A,B,C,D,E,F are 6 consecutive points on the circumference of a circle such that AB=BC=CD=10,DE=EF=FA=22. If the radius of the circle is √n, what is the value of n?

12 years ago

Find the smallest positive integer n such that the equation 455x+1547y=50,000+n has a solution (x,y) where both x and y are integers

12 years ago

N is an integer such that N≡179(mod233) and N≡233(mod179). Determine a three digit positive integer M such that N≡M(mod179×233). Details and assumptions You may use the fact that 179 and 233 are primes.

12 years ago

Find the sum of squares of all real roots of the polynomial f(x)=x^5−7x^3+2x^2−30x+6.

12 years ago

Let ϕ(n) be the Euler Phi Function. If 1≤n≤1000, what is the smallest integer value of n that minimizes ϕ(n)n? Details and assumptions Clarification: You are asked to find the value of n, not ϕ(n)n. ϕ(1)=1 by definition.

12 years ago

Suppose a and b are positive integers satisfying 1≤a≤31, 1≤b≤31 such that the polynomial P(x)=x^3−ax^2+a^2b^3x+9a^2b^2 has roots r, s, and t. Given that there exists a positive integer k such that (r+s)(s+t)(r+t)=k^2, compute the maximum possible value of...

12 years ago

I drink from a glass of water with a vertical straw. What's the longest straw I can use and still drink water if the ambient pressure is 1 atm? Give your answer in meters. Details and assumptions 1 atm is 101,325 Pa. The acceleration of gravity is −9.8 m/...

12 years ago

You are watching a marching band practice outdoors. Near you are two trumpet players, one marching directly towards you and one away from you at the same speed. Each trumpet player is playing an A (440 Hz) and you hear a beat between the two sounds at a f...

12 years ago

Consider a glass with full of water of mass density ρ=1,000 kg/m3 and height h=20 cm. There's a circular hole in the bottom of the glass of radius r. The maximum pressure that pushes the water back into the hole is roughly (on the order of) p=σ/r, where σ...

12 years ago

A motorbike starts from rest at time t=0 and begins to accelerate around a circular track as shown in the figure below. Eventually, at time t=t1 the motorbike reaches the maximum velocity possible without slipping off the track. What's the minimum length...

12 years ago

Details and assumptions The speed of sound is 340 m/s. The trumpet players aren't moving very fast.

12 years ago

Dude Please Help

12 years ago

Whats Brilliant Can you tell Me

12 years ago

Dude Help

12 years ago

thanxxxxxxxx

12 years ago

Dude don`t fight please tell the answer

12 years ago

Dude tell the right answer I have to show my homework

12 years ago

its wrong tell the right answer please

12 years ago

thanxxxx Sir . Can yiu please do this question also Find the sum of squares of all real roots of the polynomial f(x)=x^5−7x^3+2x^2−30x+6.

12 years ago

dude tell the right answer

12 years ago

Sir but 46/9.6 is 4.79 tell the right answer

12 years ago