Questions in mathematics

Questions in mathematics

[Done] What is \(\frac{1}{3}\) to the tenth power in fraction form? And what is \((\frac{1}{3})^{10} \times 9^4\)? Calculate \(\frac{1}{3}\) to the tenth power times 9 to the 4th power.

[Done] The selling price for a classic speedboat is $1800, which is $1500 less than 2 times its original price. What was the original price?

[Done] The average (arithmetic mean) of 0, \(a\), and \(b\) is \(2a\). What is the value of \(b\) in terms of \(a\)?

[Done] How many seconds are in \(\frac{5}{12}\) of a minute?

[Done] A single-cell amoeba doubles every 3 days. How long would it take one amoeba to produce a population of about 10,000 amoebae?

[Done] What is \(\frac{7}{10} - \frac{14}{100}\) in simplest form?

[Done] Solve for \( a \): \[ 4(a-1) - 5 = 3a + 7 \]

[Done] A rectangular lot measures 150 ft by 200 ft and is completely fenced. What is the approximate length, in feet, of the fence? Can someone explain how to calculate it step by step?

[Done] Find the equation of the line through the given point and perpendicular to the given line. Point: (0, 0) Line: \(-2x + 4y = 12\)

[Done] Find the slope of the line through each pair of points: (20, 18) and (-9, -14).