Option (A) : least: 10 hours; greatest: 14 hours
The function f(x) = sin x has all real numbers in its domain, but its range is
−1 ≤ sin x ≤ 1.
How to solve such range questions?
Such questions in which every term is in addition and its range is asked is simplest ones to solve if we know the range of each of term. This can be seen from this question
Given: d(t) = 2sin(xt) + 12
= −1 ≤ sin (xt) ≤ 1.
= −2≤ 2 sin (xt) ≤ 2.
= 10 ≤ 2sin (xt) + 12 ≤ 14
= 10 ≤d(t) ≤ 14
Thus least: 10 hours; greatest: 14 hours
Learn more about range of trigonometric ratios here :
brainly.com/question/14304883
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Graph 1 is related to table C because the first 3 values are increasing, and the 4th value decreases. Or because at 1PM, 3PM, and 5PM, the temperature was increasing, but at 7PM the temperature decreased. Graph 1 shows the first 3 points increasing, and then decreasing at the 4th point.
Graph 2 is related to table A because as the time increases/goes on, the temperature decreases exponentially/continues to decrease at a higher rate than before. From 1-3PM the temperate decreases by 2°F, from 3-5PM it decreased by 8°F, from 5-7PM the temperature decreased by 17°F.
Graph 3 is related to table B because as the time increases/goes on, the temperature decreases at a steady rate of 1°F every 2 hours.
Answer:
y - 5 = (-5/6)(x - 2)
y - 5 = (-5/6)x + 10/6
y - 30/6 = (-5/6)x + 10/6
y = (-5/6)x + 20/3
Step-by-step explanation:
Answer:
Mrs. Cook has to grade 63 tests.
Step-by-step explanation:
In order to find the answer, first you have to calculate 80% of the number of tests Ms. Morris has:
35*80%= 28
Then, you have to add the number that represents 80% to the number of tests Ms. Morris has to grade:
35+28=63
According to this, the answer is that Mrs. Cook has to grade 63 tests.
