Find mean, median, mode, and range. Which measure of central tendency best describes each group of data? Explain. resting heart rate in beats per minute: 79 72 80 81 40 72

Find the slit separation of a double-slit arrangement that will produce interference fringes 0.018 rad apart on a distant screen when the light has wavelength λ = 589 nm.

Determine whether each statement makes sense or does not make sense, and explain your reasoning. Every time I divide polynomials using synthetic division, I am using a highly condensed form of the long division procedure where omitting the variables and exponents does not involve the loss of any essential data.

Li is making beaded necklaces. For each necklace, she uses 27 spacers, plus 5 beads per inch of necklace length. Write an equation to find how many beads Li needs for each necklace. a. input variable: _, b. output variable: _. c. equation: _.

$$m = \frac { y _ { 2 } - y _ { 1 } } { x _ { 2 } - x _ { 1 } }$$

=. Use the slope and one of the ordered pairs in y=mx+b to find b.=_

$$\cdot$$

_+b; _=b. Write an equation in slope-intercept form. _

Prove the identity.

$$\tan \left( x + \frac { \pi } { 3 } \right) = \frac { \sqrt { 3 } + \tan x } { 1 - \sqrt { 3 } \tan x }$$

Simplify the expression. $\frac{x^{4 / 3} y^{2 / 3}}{(x y)^{1 / 3}}$

The number of pretzels in the jar had been decreased by 15%. If there were 12 fewer pretzels than before, how many were left?

Graph the hyperbola.

$$\frac { x ^ { 2 } } { 1 } - \frac { y ^ { 2 } } { 25 } = 1$$

Which of the following was the most immediate cause for the founding of the Jesuits? (A) The Catholic Reformation and the desire to revive the Roman Catholic Church (B) The ideals of Erasmus and the Christian humanism movement (C) The growth of the radical Anabaptists, who criticized Catholic abuses and established new doctrines (D) Monarchs who initiated religious reform in their own countries

Use a graphing utility to graph the equation. Use a standard viewing window. Approximate any x- or y-intercepts of the graph. $y=\sqrt[3]{x-8}$

A shiny, silver-coloured substance X is a good conductor of electricity. The substance is burned in oxygen to produce a white solid. The white solid is then added to water to produce a solution with a pH of 10. (a) What type of substance is X? Give reasons for your answer. (b) If substance X acquires an ionic charge of +2 when it reacts, what is the likely chemical formula of the white solid? (c) Suggest a compound that can be used to neutralize the solution so that it can be safely disposed of.

Use long division to divide.

$$x^4+2x^3-8x^2-3x+1$$

divided by

$$x+2$$

Divide using long division.

$$\left( b ^ { 2 } - b + 1 \right) \div ( b + 2 )$$

Factor the expression. $6 c ^ { 2 } + 19 c + 15$