Answer:
![P_t\approx 244 \ bees](https://tex.z-dn.net/?f=P_t%5Capprox%20244%20%5C%20bees)
Step-by-step explanation:
-The bee's population follows an exponential decay of the form:
![P_t=P_oe^{-rt}](https://tex.z-dn.net/?f=P_t%3DP_oe%5E%7B-rt%7D)
is the population at time t
is the initial population size
is time and rate of decay respectively.
#We substitute and solve
:
![t=6/2=3\\\\\therefore P_t=P_oe^{-rt}\\\\=700e^{-0.35\times 3}\\\\\\=244.96\\\\\approx 244\ bees](https://tex.z-dn.net/?f=t%3D6%2F2%3D3%5C%5C%5C%5C%5Ctherefore%20P_t%3DP_oe%5E%7B-rt%7D%5C%5C%5C%5C%3D700e%5E%7B-0.35%5Ctimes%203%7D%5C%5C%5C%5C%5C%5C%3D244.96%5C%5C%5C%5C%5Capprox%20244%5C%20bees)
-Since it's a decay, we round down any fractional amount in the population.
Hence, the population after 6 months is approximately 244 bees
The common denominator is 1
Given the expression:
Find the LCM of the numerator to have:
Simplify both the numerator and the denominator to have:
![= \dfrac{\frac{b-a}{ab} }{\frac{1}{ab} }\\= \frac{b-a}{ab} \times ab\\=\frac{b-a}{1} \times 1 \\=\frac{b-a}{1}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B%5Cfrac%7Bb-a%7D%7Bab%7D%20%7D%7B%5Cfrac%7B1%7D%7Bab%7D%20%7D%5C%5C%3D%20%5Cfrac%7Bb-a%7D%7Bab%7D%20%5Ctimes%20ab%5C%5C%3D%5Cfrac%7Bb-a%7D%7B1%7D%20%5Ctimes%201%20%20%5C%5C%3D%5Cfrac%7Bb-a%7D%7B1%7D)
From the result, we can see that the common denominator is 1
Learn more about fractions here: brainly.com/question/17743912
OK so if 70% of students in 8th grade have siblings and 112 8th graders have siblings, then:
0.7(total 8th graders) = 112
total 8th graders = 112/0.7
total 8th graders = 160
And since the number of 8th graders is 5/6 the size of the 7th grade class:
5/6(7th grade class) = 160
5(7th grade class) = 960
7th grade class = 192.
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<span>The correct answer is D) 192.</span>
Answer:
Find the length of one side of the pentagon. Explanation: A regular pentagon must have five equivalent sides and five equivalent interior angles. Regular pentagons can be divided up into five equivalent interior triangles, where the base of the triangle is a side length and the height of the triangle is the apothem.
<em>Answer:</em>
94.25m
<em>Explanation:</em>
× ![\frac{19.5}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B19.5%7D%7Bx%7D)
Solve for x.
(cross multiply & divide)
4.5 × 19.5 = 282.75
282.75 ÷ 3 = 94.25