George monitors the number of influenza infections reported in a certain neighborhood in a given week. The recent numbers are sh
1 answer:
The number of infections in week 8 will be 172 people
<h3>How to know an exponential table? </h3>An exponential function is defined by the formula f(x) = aˣ, where the input variable x occurs as an exponent.
According to the reports, the reported infections are growing at a rate of 20%.
Therefore, the exponential function is as follows:
A = 40(1 + 20%)ⁿ
where
- n = number of weeks
Hence,
Number people = 40(1 + 0.2)ⁿ
when n = 8 weeks
A = 40 (1 + 0.2)⁸
A = 40 (1.2)⁸
A = 40(4.29981696)
A = 171.9926784
A = 172
Therefore, the number of infections in week 8 is 172 people.
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Answer:
b. 5/√21
Step-by-step explanation:
The sine is positive in quadrant II, so the cosecant will be also. The sine function never has a magnitude greater than 1, so the cosecant function (the reciprocal of the sine) never has a magnitude less than 1.
The only positive number with a magnitude greater than 1 among your answer choices is 5/√21, selection B.
_____
If you draw the triangle with hypotenuse 5 and side 2 along the x-axis, you find the Pythagorean theorem tells you the opposite side (parallel to the y-axis) has length ...
... O = √(5² -2²) = √21
Then the sine ratio is ...
... Sin = Opposite/Hypotenuse = (√21)/5
The cosecant function is the reciprocal of the sine function, so its value is ...
... csc(θ) = 1/sin(θ) = 1/((√21)/5)
... csc(θ) = 5/√21
