Questions LLC
Login
or
Sign Up
Ask a New Question
raja harishchandra
Questions and answers by visitors named
raja harishchandra
Questions (46)
For a positive integer x, let f(x) be the function which returns the number of distinct positive factors of x. If p is a prime
1 answer
427 views
How many ordered pairs of positive integers 1≤k≤n≤50 are there, such that k divides n, and
(n/k)!=n!/k!?
4 answers
460 views
Find the sum of all positive integers m such that 2^m can be expressed as sums of four factorials (of positive integers).
1 answer
412 views
The integers from 1 through 10 (inclusive) are divided into three groups, each containing at least one number. These groups
1 answer
405 views
The integers from 1 through 10 (inclusive) are divided into three groups, each containing at least one number. These groups
1 answer
428 views
The integers from 1 through 10 (inclusive) are divided into three groups, each containing at least one number. These groups
1 answer
404 views
Find the sum of all positive integers m such that 2^m can be expressed as sums of four factorials (of positive integers).
1 answer
1,045 views
For a positive integer x, let f(x) be the function which returns the number of distinct positive factors of x. If p is a prime
1 answer
901 views
Find the positive integer value of n such that
n^3−3/n^3+n^3−4/n^3+n^3−5/n^3+…+4/n^3+3/n^3=169.
4 answers
361 views
The complex number [2[cos(π/10)+isin(π/10)]]^5 can be written as a+bi. What is the value of a+b?
1 answer
383 views
The sum of squares formula is given by
1^2+2^2+3^2+…+n^2=n(n+1)(2n+1)/6. The sum of odd squares can be expressed as
1 answer
404 views
A monic polynomial f(x) of degree four satisfies f(1)=10, f(2)=20, and f(3)=30. Determine
f(12)+f(−8)−19000.
2 answers
429 views
A trapezoid with area 417/16 has three of its sides on the x-axis, the line x=3, and the line x=6. The fourth side is contained
1 answer
398 views
A trapezoid with area 417/16 has three of its sides on the x-axis, the line x=3, and the line x=6. The fourth side is contained
1 answer
345 views
Two congruent circles Γ1 and Γ2 each have radius 213, and the center of Γ1 lies on Γ2. Suppose Γ1 and Γ2 intersect at A
5 answers
395 views
A fair coin is flipped 3 times. The probability of getting exactly two heads, given that at least one flip results in a head,
1 answer
440 views
Consider a 25×25 grid of city streets. Let S be the points of intersection of the streets, and let P be the set of paths from
4 answers
438 views
If you watch little kids try to open doors, they will often just push anywhere on the door, rather than on the edge like adults
1 answer
406 views
The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However,
2 answers
572 views
Tarzan is often portrayed as swinging through the jungle from vine to vine. Each of Tarzan's vines are 30 meters long and Tarzan
3 answers
770 views
If you watch little kids try to open doors, they will often just push anywhere on the door, rather than on the edge like adults
1 answer
438 views
A fair coin is flipped 3 times. The probability of getting exactly two heads, given that at least one flip results in a head,
1 answer
457 views
Consider a 25×25 grid of city streets. Let S be the points of intersection of the streets, and let P be the set of paths from
6 answers
496 views
If you watch little kids try to open doors, they will often just push anywhere on the door, rather than on the edge like adults
1 answer
437 views
The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However,
2 answers
509 views
The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However,
3 answers
571 views
If you watch little kids try to open doors, they will often just push anywhere on the door, rather than on the edge like adults
4 answers
528 views
Consider a 25×25 grid of city streets. Let S be the points of intersection of the streets, and let P be the set of paths from
9 answers
509 views
A fair coin is flipped 3 times. The probability of getting exactly two heads, given that at least one flip results in a head,
7 answers
1,218 views
Consider a 25×25 grid of city streets. Let S be the points of intersection of the streets, and let P be the set of paths from
1 answer
389 views
If you watch little kids try to open doors, they will often just push anywhere on the door, rather than on the edge like adults
1 answer
461 views
The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However,
1 answer
1,002 views
The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However,
1 answer
449 views
If you watch little kids try to open doors, they will often just push anywhere on the door, rather than on the edge like adults
1 answer
445 views
Consider a 25×25 grid of city streets. Let S be the points of intersection of the streets, and let P be the set of paths from
1 answer
435 views
The number 27+200−−−√−−−−−−−−−√ can be simplified to the form a+b√, where a and b are positive
1 answer
382 views
The number (27+200^1/2)^1/2 can be simplified to the form a+b^1/2, where a and b are positive integers. Find the product ab.
1 answer
327 views
Let
f(n)=1/1√+2√+1/2√+3√+1/3√+4√…1/n√+n+1−−−−√. For how many positive integers n, in the range
1 answer
330 views
Let S(N) denote the digit sum of the integer N. As N ranges over all 3-digit positive numbers, what value of N would give the
3 answers
545 views
The real numbers x and y satisfy the nonlinear system of equations
2x^2−6xy+2y^2+43x+43y=174 & x^2+y^2+5x+5y=30. Find the
3 answers
464 views
The number (27+200^1/2)^1/2 can be simplified to the form a+b√, where a and b are positive integers. Find the product ab
3 answers
362 views
The number (27+200^1/2)^1/2 can be simplified to the form a+b√, where a and b are positive integers. Find the product ab.
1 answer
342 views
Noah wants to swim across a river 10 m wide, flowing from north to south. He swims so his velocity with respect to the river is
1 answer
435 views
Noah wants to swim across a river 10 m wide, flowing from north to south. He swims so his velocity with respect to the river is
2 answers
560 views
The number (27+200^1/2)^1/2 can be simplified to the form a+b√, where a and b are positive integers. Find the product ab.
1 answer
298 views
What is the sum of all possible real values of x, such that there exists a real value y which satisfies the equation
1 answer
476 views
Answers (10)
148 is incorrect
no tis not 49
copying brilliant answer=26
it is of brilliant named site
please answer its urgent
please answer its urgent
its urgent
please answer its urgent
please answer
In a monic polynomial, the leading coefficient is 1 So let f(x) = x^4 + ax^3 + bx^2 + cx + d f(1) = 1 +a+b+c+d = 10 a+b+c+d = 9 , #1 f(2) = 16 + 8a + 4b + 2c + d = 20 8a + 4b + 2c + d = 4 , #2 f(3) = 81 + 27a + 9b + 3c + d = 30 27a + 9b + 3c + d = -51 , #3
