Use the given conditions to write an equation for each line in point-slope form and slope-intercept form.

$$\text { Slope } = - 5 , \text { passing through } ( - 4 , - 2 )$$

Let v be the vector from initial point

$$P_1$$

to terminal point

$$P_2.$$

Write v in terms of i and j.

$$P _ { 1 } = ( - 3,4 ) , P _ { 2 } = ( 6,4 )$$

You have a balloon covering the mouth of a flask filled with air at 1 atm. You apply heat to the bottom of the flask until the volume of the balloon is equal to that of the flask. In which is the pressure greater-the balloon or the flask? Or is the pressure the same? Explain.

Determine whether the triangle with the given side lengths is a right triangle. 8, 11, 14

Use words to write 4.02.

Simplify. Express your answer in lowest terms. $- 4 \frac { 1 } { 3 } \cdot 2 \frac { 3 } { 5 }$

Show that

$$\tan 30 ^ { \circ } + \frac { 1 } { \tan 30 ^ { \circ } } = \frac { 1 } { \sin 30 ^ { \circ } \cos 30 ^ { \circ } }$$

.

A segment of DNA has 18 base pairs. It has 7 cytosines in the segment. a. How many thymines are in the segment? b. How many guanines are in the segment?

How are new reproductive technologies contributing to rapid phenotypic change in populations?

Solve the inequality. |5.2+x|<7.3

A fair number cube labeled 1, 2, 3, 4, 5, and 6 is rolled 100 times. About how many times would you expect the number 3 to appear?

A woman has n keys, of which one will open her door. (a) If she tries the keys at random, discarding those that do not work, what is the probability that she will open the door on her kth try? (b) What if she does not discard previously tried keys?

Name the property shown by the statement.

$$14 \times 0 \times 3 = 0$$

A football is kicked up from ground level at an initial upward velocity of 90 feet per second. The equation

$$h = -16t^2 + 90t$$

gives the height h of the football after t seconds. What is the height of the ball after one second?