Use a word from the list to complete each analogy, creating a second word pair that matches the relationship between the first two given words. fester, barren, paradoxical, abash. empty : full :: _____ : fruitful

Compare the amount of movement possible in synarthrotic, amphiarthrotic, and diarthrotic joints. Relate these terms to the structural classification of joints; that is, to fibrous, cartilaginous, and synovial joints.

Solve the inequality. Graph the solution.

$$z - ( - 7 ) < 5$$

write the quotient in standard form. 8+16i / 2i

The cost per day of running a hospital is 200,000 + .002x2 dollars, where x = patients served per day. What size hospital minimizes the per-patient cost of running the hospital?

Find the Taylor polynomial of degree n for x near the given point a. cos x, $a=\pi / 2,$ n = 4

Find each percent of increase. Round to the nearest percent. 15 to 35

In a presidential election, 611 randomly selected voters were surveyed, and 308 of them said that they voted for the winning candidate (based on data from ICR Survey Research Group). The actual percentage of votes for the winning candidate was 43%. Assume that 43% of voters actually did vote for the winning candidate, and assume that 611 voters are randomly selected. Find the probability of exactly 308 voters who actually voted for the wi nner.

A race car moves such that its position fits the relationship $x = ( 5.0 \mathrm { m } / \mathrm { s } ) t + \left( 0.75 \mathrm { m } / \mathrm { s } ^ { 3 } \right) t ^ { 3 }$ where x is measured in meters and t in seconds. Determine the instantaneous velocity of the car at t = 4.0 s, using time intervals of 0.40 s, 0.20 s, and 0.10 s.

Solve each system. Use any method you wish.

$$\left\{\begin{aligned} 7 x^{2}-3 y^{2}+5 &=0 \\ 3 x^{2}+5 y^{2} &=12 \end{aligned}\right.$$

What do these documents tell us about the ways in which religious faith helped Americans cope with wartime death and loss?

Juan tosses a fair coin five times. What is the probability the number of heads always exceeds the number of tails as each outcome is observed?

Write a paragraph explaining why keeping your own vaccinations up to date is a duty not only to yourself but also to the people around you.

Five consecutive terms of an arithmetic sequence have a sum of 40. The product of the first, middle and last terms is 224. Find the terms of the sequence.