Answer the question.Explain why, when one number is a factor of another, the least common denominator of the numbers is the larger number.
What will be an ideal response?
Every prime factor of the smaller number is contained in the prime factorization of the larger number. Then the least common denominator will contain each prime factor exactly the number of times it appears in the larger number, and hence, is the larger number.
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Express the integrand as a sum of partial fractions and evaluate the integral.
A. +
ln
+ C
B. +
ln
+ C
C. +
ln
+ C
D. +
ln
+ C
Provide an appropriate response. Find the equation of the line passing through the points (8, -5) and (2, -5).
A. y = x -
B. y = -5
C. x = -5
D. y = x - 5
Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical. and
A. ; falls
B. ; rises
C. ; rises
D. ; rises
Solve the problem. Round to the nearest hundredth if necessary.A cylindrical flower vase is 7 inches across the top and about 12 inches high. How many cubic inches of water could it hold? Use 3.14 as the approximate value of ?.
A. 1846.32 in.3 B. 923.16 in.3 C. 461.58 in.3 D. 527.52 in.3