Find the angle between v and w. Round to one decimal place, if necessary.v = 2i + 3j + k and w = 2i + 5j + 3k
A. 17.5°
B. 76.5°
C. 30.1°
D. 72.5°
Answer: A
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City 1 has an initial population of 88.58 thousand. Each year we get next year's population by multiplying by 0.92.
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City 2 has an initial population of 54.85 thousand. Each year we get next year's population by multiplying by 1.02.
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A: Write a formula that gives the population , in thousands, of City 1 after t years.
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B: Write a formula that gives the population
, in thousands, of City 2 after t years.
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C: Make a graph that shows the populations of both cities over the first 20 years.
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D: When do the two cities have the same population? Round your answer to two decimal places.
What will be an ideal response?
Find the exact value of the expression.sin 20° cos 100° + cos 20° sin 100°
A.
B.
C. -
D. -
For the given pair of functions, find the requested function.f(x) = 5x2 - 4x + 6 and g(x) = x - 1; (f ? g)(x)
A. -14x2 + 5x + 15 B. 5x2 + 26x + 7 C. 5x2 - 14x + 7 D. 5x2 - 14x + 15
Solve the problem.Find the exponential function that models the data in the table below.
A. f(x) = 22 ? 0.7x B. f(x) = 10.78 ? 1.3x C. f(x) = 15.4 ? 1.7x D. f(x) = 10.78 ? 0.7x