The solemn butler knew and welcomed him; he was subjected to no stage of delay, but ushered direct from the door to the dining-room where dr. lanyon sat alone over his wine. this was a hearty, healthy, dapper, red-faced gentleman, with a shock of hair prematurely white, and a boisterous and decided manner. at sight of mr. utterson, he sprang up from his chair and welcomed him with both hands. the geniality, as was the way of the man, was somewhat theatrical to the eye; but it reposed on genuine feeling. how is dr. lanyon characterized in the excerpt? as friendly as arrogant as wise as mournful

Dr. Lanyon is characterized as friendly is this excerpt and we can find evidence in it to support the idea. The author uses adjectives to describe his appearance and personality so we can infer he is a friendly man. The adjectives that reflect this are: “hearty, dapper, boisterous and decided manner”.  Also the phrase “welcomed him with both hands” and “it reposed on genuine feeling” provides an idea of a sincere and friendly person.

Therefore, the other 3 options do not reflect the personality and appearance of Dr. Lanyon since there is no evidence in the text that Dr Lanyon is arrogant, wise or mournful.

1. read the following excerpt from franklin d. roosevelt's "fireside chat 19":

on the other side of the picture, we must learn also to know that guerilla warfare against the germans in, let us say serbia or norway, us; that a successful russian offensive against the germans us; and that british successes on land or sea in any part of the world strengthen our hands.

remember always that germany and italy, regardless of any formal declaration of war, consider themselves at war with the united states at this moment just as much as they consider themselves at war with britain or russia. and germany puts all the other republics of the americas into the same category of enemies. the people of our sister republics of this hemisphere can be honored by that fact.  

the true goal we seek is far above and beyond the ugly field of battle. when we resort to force, as now we must, we are determined that this force shall be directed toward ultimate good as well as against immediate evil. we americans are not destroyers — we are builders.

analyze the effectiveness of this excerpt. how does it function within the speech as a whole? how does the structure of the excerpt to convey the speech's purpose and key points? support your argument with evidence from the speech. (10 points)

this is the answer , p = 1 + (1/10)x

step-by-step explanation:

we have,

at sea level pressure is 1 atmosphere (i.e at x =0, p0=1 atmosphere)

at depth 23 meters , pressure = 3.3 atmosphere

since the pressure increases at constant rate as the depth increases, so we can write a relation as:

p =p0 +   kx   , where p is the pressure  , p0 is the initial pressure, x is the depth and k is constant rate of increasing.

to find constant rate k, plug p = 3.3 , p0 = 1 and x= 23 meters

we get,

  3.3 = 1 + k * 23

k = 2.3 / 23   = 1/10

so we can write the function formula as:   p = 1 + (1/10)x