Solve the problem.A bakery sells three types of cakes, each requiring the amount of ingredients shown.
To fill its orders for these cakes, the bakery used 72 cups of flour, 48 cups of sugar, and 68 eggs. How many cakes of each type were made?
A. 20 cake I
8 cake II
0 cake III
B. 24 cake I
8 cake II
12 cake III
C. 2 cake I
8 cake II
20 cake III
D. 0 cake I
8 cake II
20 cake III
Answer: D
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Express the integrand as a sum of partial fractions and evaluate the integral.
A. 3 ln 
+ 
tan-1 
+ C
B. ln 
+ 
tan-1 
+ C
C. 3 ln 
+ tan-1 
+ C
D. 3 ln 
+ 
tan-1 
+ C
Solve the problem.When a person bends at the waist with a straight back, the force, F, exerted by the person's lower back muscles can be estimated with the formula 
where w is the person's weight, and ? is the angle made by the person's torso relative to the horizontal. Suppose that a 
person bends at an angle of 30°. Determine the force exerted by the person's back muscles, and estimate the angle that requires the back muscles to exert a force of 208 pounds. Round the force to the nearest pound, and the angle to the nearest tenth, if necessary.
A. 26 pounds; 53.1° B. 300 pounds; 30° C. 300 pounds; 53.1° D. 173 pounds; 47.3°
Solve the problem.The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. If 
when 
and 
what is the volume when 
and 
A. 61.5 in3 B. 71.5 in3 C. 31.5 in3 D. 91.5 in3
Solve the problem.Encode the following message: Do not give upBreak the message into groups of two letters and use the matrix M = 
A. 
, 
, 
, 
, 
B. 
, 
, 
, 
,
, 
, 
C. 
, 
, 
, 
, 
, 
, 
D. 
, 
, 
, 
, 
, 
, 