geometryish ig
Segment AB has end points A(-2,-6) and B(6, y). If AB = 10 units and point B lies in the fourth quadrant, what is the value of y?
-12
What percent of the atmosphere is oxygen?
A two-digit positive integer p has the same digit in the units and tens places and is divisible by three different prime numbers. What is the value of p?
66
Name the psychological phenomenon where people develop a preference for things merely because they are familiar with them.
Mere-exposure effect
If 5x + 3y = 3, then find (32^x)(8^y)
8
Square MNOP exists in the coordinate plane with vertices M(2, -4), N(p, 0), O(2, 4) and P(q, 0). What is the value of p + q?
4
The main function of this organelle is to breakdown and recycle cellular debris, discarded cellular contents and foreign pathogens. Often referred to as the "garbage disposal."
Lysosome
Mahitha chooses a random 5-digit integer and squares it. What is the probability that her result has an even tens digit? Express your answer to the nearst percent.
Name the two primary steps of protein synthesis.
Transcription, Translation
What is the sum of all the real numbers x satisfying (x^2-2x+5)^(x^2-7x+12) = 1?
7
For positive integer b, a line of slope 2 and a line of slope -8 intersect at (0, b). The x-intercepts of the two lines are 30 units apart. What is the value of b?
48
Meredith wants to determine the unknown concentration of a known reactant. She does this by gradually adding a second solution of a known concentration. What laboratory techique is this called?
Titration
Using the digits, 1, 3, and 5, possibly more than once, how many two-digit prime numbers can be formed? (ex. 35, 51, 55, 33, 15 but these are not prime.)
4
Name this effect: the apparent curving of the path of objects (like air or water) moving over the Earth’s surface, caused by the planet's rotation. Due to this rotation, moving objects deflect to the right in the Northern Hemisphere and to the left in the Southern Hemisphere, affecting ocean currents and wind patterns.
The Coriolis Effect
If x and y are real numbers such that x^4 = y^4 and 3x + 2y = 10, what is the greatest possible value of x - y?
20
Gloria chooses three points at random on the perimeter of a square. Between every pair of chosen points, she draws a line segment. What is the probability that these line segments form a polygon?
15/16
This term is a measure of the rotational or twisting force acting on an object. The general formula for this term is rFsin(theta).
Torque
How many ordered triples of positive integers (a, b, c) satisfy (a^b)^c=4
3
A student is asked to make 500 mL of a buffer solution for an upcoming laboratory investigation that requires 50.0 mL of 3.0 M phosphoric acid. The student searches the acid cabinet in the stockroom but can only find 4.5 M phosphoric acid. Calculate the amount of 4.5 M phosphoric acid the student should dilute to a total volume of 500 mL.
33.3 mL
When Mindy bikes from home to work at a speed of 24 mph, she arrives at 9:26 a.m. Leaving home at the same time, if Mindy bikes at a speed of 12 mph, she arrives at 9:41 a.m. How many minutes will it take Mindy to get to work if she bikes at a speed of 20 mph?
18 minutes
Two regular polygons have their interior angles in the ratio 3 : 2. The number of sides of the first polygon is twice the number of sides of the second polygon. How many sides does each polygon have?
8, 4
Name this law: the total entropy of an isolated system—and the universe as a whole—can never decrease over time; it only increases or remains constant in a steady state.
Second law of thermodynamics/law of entropy
What is the least integer n > 1 such that the number of positive divisors of n is a perfect cube?
24
A block of mass M is attached to a spring and compressed a distance x from equilibrium. It is found that the spring has a period of oscillation of 5 seconds. If a new mass of 2M were attached to the same spring and then compressed to a distance 2x, what would be the new period of oscillation?
5root2 or 7.07
Suppose a, b, c, e and z are positive integers and abc = ez = 123. What is the greatest possible absolute difference between a + b +c and e + z ?
81