Math and Science Problems

There are red balls and blue balls in an urn. The number of red balls is either 7, 9, 11, 13, or 15. If two balls are randomly chosen from the urn, the probability they are different colors is 1/2. The number of red balls in the urn are ______.

A firefighter's ladder leans against a building. If the ladder is 10m long and makes an angle of 37 degrees with the ground, the height up the building that the ladder reaches in meters is ______.

The azide-alkyne Huisgen cycloaddition produces a triazole, which is a five-membered ring containing three atoms of ______. Azides are polyatomic anions consisting of three atoms of this element.

If y varies directly as x and z, and y = 12 when x = 4 and z = 5, then y when x = 10 and z = 20 is ______.

A definition for the noun below is 'a scraping implement with a rubber-edged blade set on a handle, typically used for cleaning windows'. This word is ______.

If Σfx is 180, A=22, and the width of the class interval is 5, and the arithmetic mean is 120, then the number of observations are ______.

The lyrics of the Himno ng Pamantansang Mindanao (The University of Southern Mindanao Hymn) were written by ______.

If the probability of selecting a red ball is 1/3, a blue one is 1/3, and a white ball is 1/3, then the probability of selecting a red or white ball is ______.

An object at rest stays at rest unless acted upon by a net force or a moving object at a constant speed will continue to move in a straight at a constant speed because of the law of ______, or the First Law.

The peace treaty that ended World War I was the Treaty of ______.

A helicopter is ascending vertically with a constant speed of 6 meters per second relative to the ground. At the instant the helicopter is 60 meters above the ground it releases a package, the magnitude and direction of the velocity of the package, relative to the ground, the instant the package is released by the helicopter, is ______.

Occasionally, a bad cold will constrict a persons hearing ability due to tube blockage within the ear. The name of the tube that becomes blocked to cause this problem is the ______.

The exact value of $cos (\frac{8π}{3})$ is ______.

This author created a protagonist who debates with Plinio Designori and gains a title previously held by Thomas van der Trave. In a novel by this author, the Waldzell School teaches Joseph Knecht the title esoteric activity. The Swiss-German author of The Glass Bead Game and Steppenwolf is ______.

This ruler and Jacques Cœur were rumored to have poisoned the first official royal mistress, Agnès Sorel. While he was the dauphin, this ruler joined the "Praguerie" against his father. The death of this ruler caused a power struggle that ended with a siege of Jean IV de Rieux's forces at Saint-Aubin-du-Cormier. The French king nicknamed for his arachnid-like schemings is ______.

Defined as: to accept as inevitable; to comply passively. The word this definition refers to is ______.

The distance from the center of a regular polygon to a side is called the ______.

The largest 3 digit perfect square number is ______.

If $x^2 +nx + n = 0$ has integer roots, then the largest value of n is ______.

The Netflix show with the most streaming views in 2021 was ______.

Given $f(x) =4x-1$ and $g(x)=\frac{1}{2x}$, then $f(2x)$ is ______.

The novel "Stupid is Forever," is a collection of witty and humorous essays that reflect on various societal issues in the Philippines. It was authored by ______.

Poisson's equation reduces to ______ when the charge density goes to zero. This equation from electrostatics sets del squared of the electric potential equal to zero.

This man signed an anti-slave-trade treaty with Richard Lyons after an incident started by USS Jacinto captain Charles Wilkes. Along with Anson Burlingame, this man amended the Treaty of Tiānjīn ("t'yen-JIN") by granting China "most favored nation" status. The Secretary of State, under Presidents Andrew Johnson and Abraham Lincoln, whose folly was the purchase of Alaska was ______.

$\frac{sina}{1 + cosa} + \frac{1 + cosa}{sina}$ simplifies to ______.

The condition in which there is a decrease in the number of white blood cells in humans is called ______.

During the final stage of cell division, the mitotic apparatus disappears, the chromosomes become attenuated, the centrioles duplicate and split, the nuclear membrane becomes reconstituted and the nucleolus reappears. This phase of cell division is known as ______.

Draw 2 supplementary angles. One angle is x-15 degrees and one is 2x degrees. The value of x in terms of degrees is ______.

The value of $\sqrt{6 + (\sqrt{6 + (\sqrt{6...}}}$ is ______.

An expert judge in matters of taste is ______.

The chemical element with atomic number 7, essential for amino acids and nucleic acids, is ______.

In physics, ______ is the property of matter that resists changes in velocity.

The tube connecting the middle ear to the nasopharynx is called the ______.

If a fair six-sided die is rolled, the probability of getting a 4 or a 5 is ______.

To formally give up possession or assertion of something is to ______.

The sum of the interior angles of a hexagon is ______ degrees.

A word for someone of refined taste or knowledge, especially in the arts or matters of style, is a ______.

The process by which cells replicate their chromosomes before cell division is called ______.

In geometry, two angles are ______ if their measures add up to 90 degrees.

Expressing willingness to do something with hesitation is to ______.

The distance from the center of a regular polygon perpendicular to one of its sides is the ______.

A tool with a flat, rubber blade, used for removing or cleaning excess liquid is a ______.