Questions in Grade High-school

Questions in Grade High-school

[Done] What is the solution for the equation [tex]7x - 3x^2 = 85 + 2x^2 + 2x[/tex]? How do you solve it?

[Done] What were some of Hongwu's agricultural reforms?

[Done] Simplify the expression as much as possible: \[ \sin(2x)\cos(x) \]

[Done] ATP synthase is: a) Both an enzyme that makes ATP and a channel protein, and helps hydrogen ions cross the thylakoid membrane. b) Both an enzyme that makes ATP and a channel protein, and helps hydrogen ions cross the chloroplast inner membrane. c) Both an enzyme that makes ATP and a carrier protein, and helps hydrogen ions cross the thylakoid membrane. d) Both an enzyme that makes ATP and a carrier protein, and helps hydrogen ions cross the chloroplast's inner membrane.

[Done] Eight less than ten times a number is 82. What is the number?

[Done] The length of a rectangular field is 4 meters longer than its width. If the perimeter is 56 meters, what is the width of the field?

[Done] If a number is added to the numerator of [tex]\frac{4}{9}[/tex] and the same number is subtracted from the denominator, the result is [tex]-9[/tex]. Find the number.

[Done] During a triathlon, Sharon swims \(\frac{1}{4}\) of the total route and cycles \(\frac{3}{5}\) of the remaining route. She runs the rest of the route. If she runs 3,600 meters, find the total distance of the triathlon route.

[Done] If a number is added to the numerator of \(\frac{4}{9}\) and twice as much is subtracted from the denominator, the result is \(-9\). Find the number.

[Done] A coin is tossed 20 times. It lands heads 4 times. Compare the experimental probability to its theoretical probability. If the probabilities are not close, explain a possible reason for the discrepancy.