star trecking
super duper math
hometime
WW2
classic rock
100

what year was the first epidode of the original show released?

1966

100

x³ – 6x² + 11x – 6 = 0

This cubic can be solved through clever factoring by recognizing it as (x – 1)(x – 2)(x – 3) = 0. The key insight is to try small integer values first, noticing that x = 1 works, then dividing by (x – 1) to reduce the problem.

100

This longtime host was with Hometime for decades and became the face of the show.

dean jhonson

100

Who was the Prime Minister of England before Winston Churchill

Neville Chamberlain

100

who is billy idols guatarist

steve stevens

200

who played captan kirk

william shatner

200

If a, b, and c are the roots of x³ – 3x² + 4x – 2 = 0, find the value of a²b + ab² + a²c + ac² + b²c + bc².

 Instead of calculating individual roots, use Vieta’s formulas and algebraic manipulation. This expression can be rewritten using elementary symmetric polynomials, connecting it to the coefficients of the original equation.

200

Before becoming known as a TV host, Dean Johnson worked in this skilled trade.

carpendery

200

During the Battle of France, how did the Germans bypass the Maginot Line

they cut thrugh belgum

200

what is the band kiss's top selling album

dynasty

300

Which actor originally devised the Klingon language?

James Doohan

300

If x, y, and z are positive real numbers, prove that: (x² + y² + z²)² ≥ 3(x²y² + y²z² + z²x²)

This elegant inequality can be proven using the Cauchy-Schwarz inequality, but requires careful setup. Alternatively, recognizing it as a special case of the power mean inequality provides another pathway.

300

Hometime was originally produced in this Midwestern state.

menneSODA

300

Which up-gunned US Sherman tank variant was named after a small insect

Firefly

300

what is the band scorpions top hit

rock you like a hurricane

400

In “Mirror, Mirror,” who tries to assassinate Captain Kirk

Chekov

400

Find all functions f: ℝ → ℝ such that f(x²-y²) = xf(x) – yf(y) for all real x and y.

 Begin by testing simple inputs. Setting y = 0 reveals that f(x²) = xf(x). Setting x = y shows f(0) = 0. Carefully building on these observations leads to the discovery that f(x) = cx for some constant c is the complete solution set.

400

Unlike many renovation shows, Hometime was known for spending significant time teaching viewers this aspect of home projects.

step-by-step construction techniques (or detailed DIY instruction)?

400

three of the most expensive weapons projects of WWII

B-29 Superfortress, Manhattan Project, V-2 rocket

400

what def lepord album came out in 1983 

pyromania

500

what are those fluffy creatues called

tribbles

500

Evaluate lim𝑥→0⁡sin⁡(𝑥)–𝑥𝑥3.
(a) −16,(b) 0,(c) 16,(d) 12  

the answers b

500

Debuting in 1986, this home-improvement series eventually became one of the longest-running how-to television shows in the United State

hometime!!

500

The purpose of the Potsdam Conference was to

Shape post-war Germany

500

this november 1979 release was so popular it got a movie

the wall

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