Solve the problem.Syed, who is 1.53 m tall, wishes to find the height of a tree with a shadow 34.97 m long. He walks 22.03 m from the base of the tree along the shadow of the tree until his head is in a position where the tip of his shadow exactly overlaps the end of the tree top's shadow. How tall is the tree? Round to the nearest hundredth.
A. 2.43 m
B. 2.49 m
C. 1.53 m
D. 4.13 m
Answer: D
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Solve the problem.A tank initially contains 140 gal of brine in which 60 lb of salt are dissolved. A brine containing 5 lb/gal of salt runs into the tank at the rate of 7 gal/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 5 gal/min. Write, in standard form, the differential equation that models the mixing process.
A. 
+ 
y = 35
B. 
+ 
y = 25
C. 
+ 
y = 35
D. 
= 35 - 
y
Solve the problem.The probability of drawing a face card from a standard deck of 52 cards is 
. The probability of drawing a diamond is 
. Which card has a higher probability of being drawn, a diamond or a face card? Explain.
A. A diamond, because 
is greater than 
.
B. A face card, because 
is greater than 
.
Express in terms of sums and differences of logarithms.logax2yz6
A. loga2x + logay + loga6z B. (logax)2 + logay + (logaz) 6 C. 2 logax + logay + 6logaz D. 2 logax ? logay ? 6logaz
Evaluate the expression x - y for the given values of the variables.x = -5, y = 26
A. 31 B. 21 C. -31 D. -21