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Questions (29)

If (8+√19)/(8−√19)=(a/c)+[(b/c)*√19], where a and c are coprime positive integers, and b and c are coprime positive
1. 1 answer
2. 365 views
The admission ticket of an amusement park is $50 per head, and there is a 30% discount for a group of equal or over 30 people.
1. 1 answer
2. 1,079 views
Four players are playing a game involving choosing positions on a grid of size 3×8. Each player chooses a random position on
1. 2 answers
2. 999 views
Two points are chosen uniformly at random on the unit circle and joined to make a chord C1. This process is repeated 17 more
1. 6 answers
2. 453 views
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
1. 2 answers
2. 572 views
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
1. 5 answers
2. 598 views
You are watching a marching band practice outdoors. Near you are two trumpet players, one marching directly towards you and one
1. 5 answers
2. 602 views
A motorbike starts from rest at time t=0 and begins to accelerate around a circular track as shown in the figure below.
1. 3 answers
2. 616 views
A motorbike starts from rest at time t=0 and begins to accelerate around a circular track as shown in the figure below.
1. 25 answers
2. 866 views
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
1. 4 answers
2. 519 views
You are watching a marching band practice outdoors. Near you are two trumpet players, one marching directly towards you and one
1. 7 answers
2. 562 views
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
1. 3 answers
2. 740 views
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
1. 9 answers
2. 587 views
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
1. 1 answer
2. 446 views
Let x=2013, y=140542, z=−142555. Find[(x−y)/z + (y−z)/x + (z−x)/y]*[x/(y−z) + y/(z−x) + z/(x−y)].
1. 1 answer
2. 321 views
Find the sum of squares of all real roots of the polynomial f(x)=x^5−7x^3+2x^2−30x+6.
1. 1 answer
2. 390 views
N is an integer such that N≡179(mod233) and N≡233(mod179).Determine a three digit positive integer M such that
1. 5 answers
2. 523 views
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
1. 4 answers
2. 575 views
θ is an angle such that 180∘<θ<270∘, and sinθ=−12/13. What is the value of180(sin^2 θ/2+cos^2 θ/2 +tan^2 θ/2)?
1. 1 answer
2. 561 views
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
1. 4 answers
2. 483 views
Two points are chosen uniformly at random on the unit circle and joined to make a chord C1. This process is repeated 17 more
1. 1 answer
2. 464 views
ABCDEF is a regular hexagon with side length 4 (Under 4 root)√3. Points G,H,I,J,K,L are chosen uniformly at random, one from
1. 2 answers
2. 562 views
ABCDEF is a regular hexagon with side length 4 (Under 4 root)√3. Points G,H,I,J,K,L are chosen uniformly at random, one from
1. 1 answer
2. 518 views
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
1. 5 answers
2. 639 views
Four players are playing a game involving choosing positions on a grid of size 3×8. Each player chooses a random position on
1. 1 answer
2. 547 views
Four players are playing a game involving choosing positions on a grid of size 3×8. Each player chooses a random position on
1. 1 answer
2. 391 views
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,
1. 11 answers
2. 546 views
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
1. 5 answers
2. 1,003 views
How many of the first 1001 Fibonacci numbers are divisible by 3?
1. 1 answer
2. 419 views

Answers (11)

Sir but 46/9.6 is 4.79 tell the right answer
dude tell the right answer
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.
its wrong tell the right answer please
Dude tell the right answer I have to show my homework
Dude don`t fight please tell the answer
thanxxxxxxxx
Dude Help
Whats Brilliant Can you tell Me
Dude Please Help
Details and assumptions The speed of sound is 340 m/s. The trumpet players aren't moving very fast.

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