A1000 gallon tank, initially full of water, develops a leak at the bottom. given that 300 gallons of water leak out in the first 30 minutes, find the amount of water, a(t), left in the tank t minutes after the leak develops if the water drains off at a rate proportional to the amount of water present.

a. a(t)= 1000(1/3)^1/10t
b. a(t)= 1000(1/2)^-1/10t
c. a(t)= 1000(1001/2)^t
d. a(t)= 1000e ^-1/10t
e. a(t)= 1000(1/2)^1/10t
f. none of these

If δmtv is reflected across the y-axis, what are the resulting coordinates of point m? a) (-2, 5) b) (-5, 2) c) (5, -2) d) (-2, -5)

In a test for esp (extrasensory perception), the experimenter looks at cards that are hidden from the subject. each card contains either a star, a circle, a wave, a cross or a square.(five shapes) as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. when the esp study described above discovers a subject whose performance appears to be better than guessing, the study continues at greater length. the experimenter looks at many cards bearing one of five shapes (star, square, circle, wave, and cross) in an order determined by random numbers. the subject cannot see the experimenter as he looks at each card in turn, in order to avoid any possible nonverbal clues. the answers of a subject who does not have esp should be independent observations, each with probability 1/5 of success. we record 1000 attempts. which of the following assumptions must be met in order to solve this problem? it's reasonable to assume normality 0.8(1000), 0.2(1000)%30 approximately normal 0.8(1000), 0.2(1000)% 10 approximately normal srs it is reasonable to assume the total number of cards is over 10,000 it is reasonable to assume the total number of cards is over 1000

What is the missing reason in the proof? segment addition congruent segments theorem transitive property of equality subtraction property of equality?