Consider the function on the integers given by f(x,y)=x^2y. How many ordered pairs of integers satisfying −17≤x,y≤17 is f(x,y)=f(y,x)?
If the sum of 3 non-zero real numbers a, b, and c is 2, and two sets {a,b,c} and {1/a,1/b,1/c} are the same, what is the value of a^2+b^2+c^2?
How many solutions are there to sinθ+7=8 in the domain [0∘,1000∘]?
Two cars run at constant speeds around a one-mile racetrack. The faster car passes the slower car every two minutes if the cars run in the same direction. If they run in opposite directions, they meet every 15 seconds. Find the speed of the faster car in miles per hour.
A woman rides her bicycle from her house to and from a lake. It takes her 1 hours 30 minute to ride to the lake and 1 hour 45 minute to ride back. She rides downhill at 12 kilometers per hour, on level ground at 8 kilometers per hour, and uphill at 6 kilometers per hour. What is the distance in kilometers from her house to the lake?
In a triangle ABC, D is the mid-point of BC and E is mid-point of AD, point F lies on side AC and BF passes through E. What is the ratio of AF:FC ?
- 2:3
- 1:1
- 1:2
- 1:3
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A dishonest dealer marks up his goods by 20% and gives a discount of 10% to the customer, besides he also cheates both his supplier and his buyer, by 100grams while buying or selling 1Kilogram.Find the percentage profit earned by the dealer.
Q. Also If we know that he takes 10% discount from his supplier and Without giving any discount after markup, What is the profit percentage ?
Given that cos143∘=T, what is the largest value of Nsubject to N
Degree is uesd here
In the domain [0∘,1000∘], how many solutions are there to 8sin^2(thata)−7sin(theta)−1=0?
1 ) No of ways in which 12 students can be divided into 3 groups ?
5775 ,
7575 ,
7755 ,
NOT
2) The supreme court has given a 6 to 3 decision upholding a lower court , the number of ways it can give a majority decision reversing the lower court ?
256 , 276 , 245 , NOT
PS : pls explain the second ques in detail.
In the domain [0,11], how many real solutions are there to cos(pi × x^2)=−1?
In a village there are 150 men and 90 women in present time. if in next year population will be P=(a^2 +b^2)^1/2 , and in every year men are reduces 10%.
a. what is population of after 2 year.
b. after how many years women become more than men.
anyone......?????????😠
Three identical dice are rolled once. what is the probability that the same number will appear on each of them?
11. Find the number of positive integral solutions for the equation 7x + 12y + 4z = 30.
(1) 1 (2) 2 (3) 3 (4) 0 (5) 4
Puys is there any shortcut for this question???
Maximize [11sin (x)+5sin (x+ pi/3)]^2
X is in degree and only pi is divided by 3
Find the number of positive integers which divide 10^999 but not 10^998.
I want help in----->
For any integer n, let f(n)=log(base 4)n, if log(base 4)n is rational
f(n)=0, otherwise.
Find Σ(n=1 to 200) f(n).
explain in detail pls 😃
f(n)=0, otherwise.
Find Σ(n=1 to 200) f(n).
explain in detail pls 😃
@chillfactor the mean proportional between two numbers is 12 . the third proportional of the same number is 96. find the greatest of the two number?
1. For each nonempty subset of M(n) = {−1,−2, . . . ,−n} we compute the product of its elements. What is the sum of all such products?