In mathematics, the nth harmonic number is defined to be 1 + 1/2 + 1/3 + 1/4 + ... + 1/n. so, the first harmonic number is 1, the second is 1.5, the third is 1.83333 ... and so on. write an expression whose value is the 8th harmonic number.

A traffic helicopter pilot 60 meters above the road spotted two antique cars. The angles of depression are 10.2° and 8.7°. How far apart are the cars?

A ruler is 30 cm long. This is 25 cm less than 2/5 of the length of a large box. What is the length of the box?

Find the length of an arc that subtends a central angle of 135° in a circle of radius 2 mi

A line that passes through two sides of triangles divides the sides proportionally A. always B. sometimes C. never

The regression equation for the data given in example 2.19, is (rounding the intercept to three decimal places and the slope to five decimal places) : fat gain = 2.505

Find the interior angles of a heptagon

5x + 3 = 7x - 1. Find x a. 1/3 b. ½ c. 1 d. 2

Sarah solved a quadratic equation. Her work is shown below, with Step 1 missing. What could Sarah have written as the result from Step 1? 2 (x + 1) 2 + 6 = 134 Step 1 (x+1) 2 - 64 Step 2 2+1 = 18 Step 3 x = - 9 or x = 7 Step 4 Khan academy quiz

Ecessary. Bamples 3. What number is 15% of 60?

Let f (x) = 9x - 2 and g (x) = - x + 3. Find f (g (x)).