A dragonfly can beat its wings 30 times per second. Write an equation in slope-intercept form that shows the relationship between flying time in seconds and the number of times the dragonfly beats its wings. _

Discuss the origin of the 23 chromosome pairs in a diploid human cell.

Explain what m and b in the equation y=mx+b tell you about the graph of the line with that equation. _

Examine the end behavior of

$$f(x) = 3x^2 – 6.$$

As x goes to

$$\infty,$$

what behavior does the function have? How is the function behaving as x approaches

$$-\infty?$$

Sketch the following surfaces:
(a) $z = r^2$ (b) $\rho = 4 \csc \phi \sec \theta$ (c) $r = 4 \sin \theta$ (d) $\rho\sin \phi = 2$

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. _

An hourglass is turned over with the top part filled with sand. After 3 minutes, there are 855 ml of sand in the top half. After 10 minutes, there are 750 ml of sand in the top half. Which equation represents this situation? (A) y=285x, (B) y=-10.5x+900, (C) y=-15x+900, (D) y=75x

A 46-kg skater is standing still in front of a wall. By pushing against the wall she propels herself backward with a velocity of - 1.2 m/s. Her hands are in contact with the wall for 0.80 s. Ignore friction and wind resistance. Find the magnitude and direction of the average force she exerts on the wall (which has the same magnitude, but opposite direction, as the force that the wall applies to her).

A block slides down a plane that is inclined at an angle of

$$53 ^ { \circ }$$

with respect to the horizontal. If the coefficient of kinetic friction is 0.70, what is the acceleration of the block?

a. A dragonfly beats its wings up to 30 times per second. Write and graph an inequality showing the relationship between flying time and the number of times the dragonfly beats its wings. b. Is it possible for a dragonfly to beat its wings 1000 times in half a minute?

The pressure loss L (in lb per square inch) of a fire hose as a function of its flow rate Q (in 100 gal/min) is $L=1.2Q^2+1.5Q$. Find L for Q = 450 gal/min.

How do prices serve as signals and incentives to producers to enter a particular market? to leave certain market?

A baseball player throws a ball with an initial velocity of 140 feet per second at an angle of

$$22 ^ { \circ }$$

to the horizontal. The ball leaves the player’s hand at a height of 5 feet. Find the ball’s maximum height and the time at which it reaches this height. Round all answers to the nearest tenth.

Decide whether each statement is possible or impossible for an angle $\theta$. csc $\theta$=100