Answer:
n(t) = 10×1.2^t
Step-by-step explanation:
The idea here is that the number of ill students is multiplied by 1+20% = 1.20 each hour. That is, after t hours, you have multiplied the original number by 1.20 "t" times. Of course, repeated multiplication is signified using an exponent.
The form you can use in such cases is ...
value = (initial value)×(growth factor in period)^(number of periods)
Here, you're given a growth rate (20% per hour), so you add 1 to get the growth factor (as we showed above).
Your exponential function can be ...
n(t) = 10×1.20^t
Answer:
d
Step-by-step explanation:
Width = x
Length = x+18
Assuming the table is rectangular:
Area = x(x + 18)
Therefore:
x(x + 18) <span>≤ 175
x^2 + 18x </span><span>≤ 175
Using completing the square method:
x^2 + 18x + 81 </span><span>≤ 175 + 81
(x + 9)^2 </span><span>≤ 256
|x + 9| </span><span>≤ sqrt(256)
|x + 9| </span><span>≤ +-16
-16 </span>≤ x + 9 <span>≤ 16
</span>-16 - 9 ≤ x <span>≤ 16 - 9
</span>-25 ≤ x <span>≤ 7
</span><span>
But x > 0 (there are no negative measurements):
</span><span>
Therefore, the interval 0 < x </span><span>≤ 7 represents the possible widths.</span><span>
</span>
Answer:
....
Step-by-step explanation:
The number of students that chose to participate in the painting class is 17. The correct option is the last option 17
<h3>Venn Diagram </h3>
From the question, we are to determine the number of students that chose to participate in the painting class
In the Venn diagram,
We can observe that
3 students chose Chorus and Painting
2 students chose Chorus, Theater, and Painting
4 students chose Theater and Painting
and
8 students chose painting only
Thus,
The number of students that chose to participate in the painting class = 3 + 2 + 4 + 8
= 17
Hence, the number of students that chose to participate in the painting class is 17. The correct option is the last option 17
Learn more on Venn Diagram here: brainly.com/question/13381693
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