State precisely (but concisely) what it means for an integer n to be divisible by an integer d.
What will be an ideal response?
Some acceptable answers:
a.An integer n is divisible by an integer d if, and only if, n = dk for some integer k.
b. An integer n is divisible by an integer d if, and only if, there exists an integer k so that n = dk.
c. An integer n is divisible by an integer d if, and only if, n is equal to d times some integer.
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Find the derivative of the function.y =
A. y ' =
B. y ' =
C. y ' =
D. y ' =
Solve the problem.To find the height of this tree, Luis marked the tree at eye level, 1.8 meters above the ground. He measured from the base of the tree and then held a
ruler vertically in front of his eye until the ruler just obscured the tree above the mark. Using a string tied through a hole in one end of the ruler, Luis found that the distance from his eye to the ruler was 5.1 centimeters. What was the height of the tree? Round to the nearest meter.
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A. 30 m
B. 40 m
C. 34 m
D. 36 m
Solve the problem.Find equations of all tangents to the curve f(x) = that have slope -1.
A. y = x - 8 B. y = -x + 8 C. y = -x + 8, y = -x - 8 D. y = x + 8, y = x - 8
Provide an appropriate response. Find a polynomial for the shaded area.
A. b2 + ac B. ab + bc C. b2 + ab + ac + bc D. a2 + bc