A wooden beam has a rectangular cross section of height h in. and width w in. (see the figure). The strength S of the beam is directly proportional to its width and the square of its height.
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What are the dimensions of the cross section of the strongest beam that can be cut from a round log of diameter 24 in.? Hint: 
, where k is a constant of proportionality.
?
?
Where 
.
?
A. 
B. ?
C. ?
D. ?
Answer: C
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Find the sum of the arithmetic series using a formula.1 + 3 + 5 + ... + 199
A. 10,000 B. 9801 C. 10,100 D. 10,201
Solve the problem.The time in hours it takes a satellite to complete an orbit around the earth varies directly as the radius of the orbit (from the center of the earth) and inversely as the orbital velocity. If a satellite completes an orbit 
above the earth in 
at a velocity of 
how long would it take a satellite to complete an orbit if it is at 
style="vertical-align: -4.0px;" /> above the earth at a velocity of 
(Use 
as the radius of the earth.) Round your answer to the nearest hundredth of an hour.
A. 28.07 hours
B. 20.65 hours
C. 5.1 hours
D. 206.49 hours
Simplify.
? 
A. 
B. 7
C. 7
D. 18
Refer to the illustration. Find 
if 
and 
data-wiris-created="true" varid="variable_id_field" variablename="impvar_45720ed5f15d40cb8b0a3d2ec" />.
?
?
A. 2
B. 
C. 
D. 6
E. 