Questions in mathematics

Questions in mathematics

[Done] What is \(\frac{1}{2}\) of a liter in mL?

[Done] 1/4 of a liter is equal to how many milliliters (mL)?

[Done] What's the answer to \( 45 = x(14 - x) \)?

[Done] Write 115.9% as a fraction.

[Done] What famous ancient Greek mathematician approximated the value of pi by circumscribing and inscribing circles around regular polygons?

[Done] Sara cut off \(\frac{1}{8}\) of a 48-inch piece of ribbon. Jane cut off \(\frac{1}{9}\) of a 36-inch piece of ribbon. They compared their cut pieces. Whose piece is longer, and by how much?

[Done] A pork roast was taken out of a hardwood smoker when its internal temperature reached 180°F. It was allowed to rest in a 75°F house for 20 minutes, after which its internal temperature dropped to 170°F. Assuming that the temperature of the roast follows Newton’s Law of Cooling: a) Express the temperature of the roast, [tex]T[/tex], as a function of time [tex]t[/tex]. b) Find the amount of time that has passed when the roast would have dropped to 140°F had it not been carved and eaten.

[Done] A milkman sold two of his buffaloes for Rs. 20,000 each. On one, he made a gain of 5%, and on the other, a loss of 10%. Find his overall gain or loss.

[Done] A population of 3.5 million bacteria increases by 488,000. How many bacteria are there now?

[Done] If \(\sin 48.59^\circ = 0.75\), then \(\cos 138.59^\circ =\) ?