Solve the problem involving related quantities.The three most prominent buildings in a city, Washington Center, Lincoln Galleria, and Jefferson Square Tower, have a total height of 1800 feet. Find the height of each building if Jefferson Square Tower is three times as tall as Lincoln Galleria and Washington Center is 250 feet taller than Lincoln Galleria.

A. Washington Center: 410 ft
Lincoln Galleria: 160 ft
Jefferson Square Tower: 1230 ft
B. Washington Center: 560 ft
Lincoln Galleria: 310 ft
Jefferson Square Tower: 930 ft
C. Washington Center: 480 ft
Lincoln Galleria: 160 ft
Jefferson Square Tower: 1160 ft
D. Washington Center: 660 ft
Lincoln Galleria: 220 ft
Jefferson Square Tower: 920 ft


Answer: B

Mathematics

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Find all the local maxima, local minima, and saddle points of the function.

A. f(0, 0) = 641, local maximum; f(2, 5) = 0, local minimum; f(2, -5) = 0, local minimum;
  local minimum; f(-2, -5) = 0, local minimum
B. f(0, 0) = 641, local maximum; f(-2, -5) = 0, local minimum
C. f(0, 0) = 641, local maximum; f(0, 5) = 16, saddle point; f(2, 0) = 625, saddle point;
f(2, 5) = 0, local minimum; f(-2, -5) = 0, local minimum
D. f(0, 0) = 641, local maximum; f(0, 5) = 16, saddle point; f(0, -5) = 16, saddle point;
f(2, 0) = 641, saddle point; f(2, 5) = 0, local minimum; f(2, -5) = 0, local minimum;
f(-2, 0) = 625, saddle point; f(-2, 5) = 0, local minimum; f(-2, -5) = 0, local minimum

Mathematics

This follows as a Corollary to the Parallel Postulate:

(a) AAS. (b) HL. (c) HA. (d) ASA. (e) Both (a) and (c) are correct. (f) Both (b) and (d) are correct.

Mathematics

Divide and simplify.÷ 

A.
B. 9
C. 3
D. -9

Mathematics

A local store orders lightbulbs from two suppliers, AAA Electronics and ZZZ Electronics. The local store purchases 30% of the bulbs from AAA and 70% of the bulbs from ZZZ. Two percent of the bulbs from AAA are defective while 3% of the bulbs from ZZZ are defective.Find the probability that a bulb is defective.

Fill in the blank(s) with the appropriate word(s).

Mathematics