Identify the following term or individuals and explain their significance. hydraulic mining

A complex number is given. Graph the complex number in the complex plane. 4 + 4i

$f(\theta)=\sin \theta$ and $g(\theta)=\cos \theta$ Find the exact value of each function below if $\theta=60^{\circ}$. Do not use a calculator. $f\left(\frac{\theta}{2}\right)$

You are taking part in a charity walk, and you have walked 12.5 miles so far. Your goal is to walk 20 miles. How many more miles do you need to walk to meet your goal?

(a) What are the direction indices for a vector that passes from point $\frac{1}{4} 0 \frac{1}{2}$ to point $\frac{3}{4} \frac{1}{2} \frac{1}{2}$ in a cubic unit cell? (b) Repeat part (a) for a monoclinic unit cell.

Two constant-volume gas thermometers are assembled, one with nitrogen and the other with hydrogen. Both contain enough gas so that

$$p _ { 3 } = 78 \mathrm { kPa }$$

. (a) What is the difference between the pressures in the two thermometers if both bulbs are in boiling water? (b) Which gas is at higher pressure?

The exercise contains fractional expression that occur frequently in calculus. Simplify the expression.

$$\frac { \sqrt { 5 - x ^ { 2 } } + \frac { x ^ { 2 } } { \sqrt { 5 - x ^ { 2 } } } } { 5 - x ^ { 2 } }$$

Assume that

$$\log _ { b } 5 = 1.1609$$

and

$$\log _ { b } 8 = 1.5000$$

and find the value to four decimal places.

$$\log _ { b } 40$$

Crossing dissimilar individuals to bring together their best characteristics is called a. domestication. b. inbreeding. c. hybridization. d. polyploidy.

Classify each of the following materials as to whether it is a metal, ceramic, or polymer. Justify each choice: (a) brass; (b) magnesium oxide (MgO); (c) Plexiglas; (d) polychloroprene; (e) boron carbide $\left(\mathrm{B}_{4} \mathrm{C}\right)$; and f cast iron.

Find the second, fourth, and eleventh terms of the sequence described by each rule.

$$A ( n ) = 9 + ( n - 1 ) ( 8 )$$

Can the graph of a polynomial function have no y-intercept? Can it have no x-intercepts? Explain.

¿Qué palabra interrogativa falta en esta oración?
Aquí, pero...miran, aquí para tres trolebuses. ¿_____ tomamos?

Review the vocabulary words listed. Match the words with the definitions below. Bacteriophage, capsid, host cell, lysogenic cycle, lytic cycle, prion, provirus, retrovirus, reverse transcriptase, viroid, virus, binary fission, chemosynthesis, conjugation, endospore, nitrogen fixation, obligate aerobe, obligate anaerobe, toxin. Viral DNA that is integrated into the host cell’s chromosome