Algebra
The solution to the equation x2+18x+65
What is x = -5, x = -13 ?
The formula for the sum of the angles of a convex polygon, given the side lengths
Sum = 180(n-2)
68% of data falls within ___ standard deviations
If f(x) = 3x23, f'(1)+f(1) is:
What is 72?
1 + 2 - 3 + 4 + 5 - 6 + 7 + 8 - 9 + 10 + 11 - 12
The possibility to multiply a 2x8 matrix with a 3x8 matrix
In a right triangle with side lengths 2, 6, and √(32), the value of the tangent of the largest acute angle in the triangle is:
What is 2√(2)?
The probability of event A (P(A)) is 0.20. The probability of event B (P(B)) is 0.40. If the events are independent, calculate P(A and B).
What is 0.08?
The sum of the series from n=1 to infinity of [(0.75)n] is:
What is 3?
A poll asked a number of people if they liked solving mathematics problems. Exactly 74% answered “yes.” The fewest possible number of people who could have been asked the question
What is 50?
Convert the logarithm to an exponent log(base a)(b) = c
The surface area of a sphere with a radius of 12? (exact values)
What is 576(pi)
A calculus class has done poorly on a test. If the test average was 50 points and the teacher curves the test by adding 10 points to each score, the mean changes by ___, and the standard deviation changes by ___?
What are 10 points and 0 points, respectively?
If f(x) = sin(x) +(2x+16)64-e-1 , f'(x) is:
What is f(x) = cos(x) + 128(2x+16)63 ?
Each unit in the coordinate plane represents 1 cm. The number of square centimeters in the area bounded by the coordinates. Coordinates: (0,1), (5,0), (3,4)
What is 9?
Aryan Ashta created a new medicine which after being infused into a petri dish kills 50% of the bacteria population present every 5.5 hours. If the petri dish is a perfect circle with a radius of 2/√(pi) and its area is entirely covered with bacteria, create a function, f(t), which represents this area of the petri dish covered in bacteria after Aryan adds his medicine. (t is in minutes)
What is f(t) = 4(0.5)t/330?
Two tetrahedra are congruent. One tetrahedron is glued to the other so that the glued faces of the two tetrahedra completely cover each other, producing a new polyhedron. The number of faces the new polyhedron has is:
What are 6 faces?
You decide to buy a lottery ticket; it costs $20. The probability of winning your money back is 0.001. The probability of getting a jackpot is 0.00001, and you earn a million dollars ($1,000,000). All other times, you will lose your money. Calculate the expected value (EV) of winnings for this lottery game, rounded to the nearest whole number.
What is -$10?
What is the value of the limit as x approaches (pi) of [(cos(x) + sin(2x)+1)/(x2-(pi)2)]? (exact values only)
What is 1/(pi)?
Consider all positive four-digit integers consisting of only even digits. The fraction of these integers that are divisible by 4.
What is 3/5?
The product of multiplying the two matrices:
2 1
1 4
1 2 0
0 1 2
What is:
2 5 2
1 6 8
If MNOP is an isosceles trapezoid, MNOR is a parallelogram, and the measure of the angle MPR is 62 degrees, then the measure of the angle RMP is:
What is 56 degrees?
A standard deck contains 52 playing cards divided into 4 suits. Suppose you randomly draw 5 cards without replacement. A royal flush occurs when you draw exactly these five card ranks: 10, Jack, Queen, King, and Ace, and all five cards must be from the same suit. Calculate the probability of obtaining a royal flush.
What is 1/649,740 ?
For the Maclaurin Series f(x) equals the sum of the series from n=1 to infinity of [((n+1)xn)/(6nx2)], the convergence of the series when x = 6 is:
What is divergence?
A team of students is going to compete against a team of teachers in a trivia contest. The total number of students and teachers is 15. Ash, a cousin of one of the students, wants to join the contest. If Ash plays with the students, the average age on that team will increase from 12 to 14. If Ash plays with the teachers, the average age on that team will decrease from 55 to 52. Ash's age is:
What is 28?