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...
algebra
If the expression (x2+2x−1)8 is completely expanded, what is the sum of the coefficients of the terms with even powers of x?
math
Three roots of f(x)=x4−2x3+ax2+bx+c are −5, −3 and 4. What is the value of a+b+c?
math
The roots of the polynomial f(x)=2x3+20x2+201x+2013 are α,β and γ. What is the value of −(α+1)(β+1)(γ+1)?
math
How many integers x satisfy the condition that both 2x and 3x are perfect squares?
math
Calvin was at his local grocery store, and saw that they had gummy worms for sale. To satisfy his foreseeable sugar craving, he bought 72 bags of gummy worms. Upon exiting the store, he noticed the the ink on the receipt was smudged, and he could see the price as $_3.4_. What ...
math
Calvin was at his local grocery store, and saw that they had gummy worms for sale. To satisfy his foreseeable sugar craving, he bought 72 bags of gummy worms. Upon exiting the store, he noticed the the ink on the receipt was smudged, and he could see the price as $_3.4_. What ...
math
Find the sum of all integers m that are less than 1000 and equal to n!+1−−−−−√ for some positive integer n.
math
If the ratio of x+y to x−y is 114, then the ratio of y to x can be written as ab where a and b are coprime positive integers. Find a+b.
math
How many pairs of integers (x,y) satisfy the conditions y=3x−1, 6x−2y=2 and 0≤x≤25?
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