It is given that the bacteria in a colony doubles every 8 hours.
To find the population of bacteria 24 hours from now, we need to find the population of bacteria after every 8 hours.
The present population of the bacteria is 9315.
After 8 hours, the bacteria becomes double. So, the number of bacteria becomes 9315 x 2 = 18630.
Again after 8 hours, the bacteria becomes 18630 x 2 = 37260.
Again after 8 hours, the bacteria becomes 37260 x 2 = 74520.
Thus, after 24 hours from now, the population of the bacteria is 74520.
M < PQS + m < RQS = 180° because they are supplementary angles.
Therefore:
(3x + 3) + (x + 19) = 180
3x — 3 + x + 19 = 180
4x + 16 = 180
Subtract 16 from both sides
4x — 16 = 180 — 16
4x = 164
Divide both sides by 4:
4x/4 = 164/4
x = 41
Therefore, the correct answer is x = 41
1.00 would be your answer because 95 rounded up is 100. So, 0.95 is closest to 1.00
95% * x = 95
95/100 * x = 95
0,95 * x = 95
0,95x = 95 / : 0,95
x = 100
9514 1404 393
Answer:
107/18
Step-by-step explanation:
Your calculator and/or knowledge of trig function values can help you evaluate this.
= 4/3(1/3) +3/4 -3(3/4) +3(3) -2(1)
= 4/9 +3/4 -9/4 +9 -2
= 107/18
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tan(30°) = 1/√3
tan(45°) = 1
tan(60°) = √3
sin(60°) = cos(30°) = √3/2
