Answer:
After 16 hours bacterial count will be 11600.
Step-by-step explanation:
Bacterial growth is always an exponential growth in a given culture.So the formula for the growth will be
Final counts of bacteria = Initial counts × 
Given from first part Initial counts = 5000
Final counts= 6500 and time of growth = 5 hours
Then we will get the value of rate of growth of bacteria from the bacteria
⇒ 6500 = 5000×
![Rate = \sqrt[5]{1.3} = 1.05](https://tex.z-dn.net/?f=Rate%20%3D%20%5Csqrt%5B5%5D%7B1.3%7D%20%3D%201.05)
Now again to get the value of bacteria after 16 hours
Final Count = 5000×
= 5000×2.32
= 11600
1. 5/6
2. 3/4
3. 2/3
4. 1/6
5. 1/4
6. 1/2
<h3>
Answer: B. 781.6 feet approximately</h3>
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Work Shown:
The horizontal portion is 400+166 = 566 feet. Label this as 'a', so a = 566. The vertical side is unknown, so b = x. The hypotenuse is c = 965
Use the pythagorean theorem
a^2+b^2 = c^2
566^2+x^2 = 965^2
x^2 = 965^2 - 566^2
x = sqrt( 965^2 - 566^2 )
x = 781.58108984289 which is approximate
x = 781.6 feet when rounding to one decimal place
<span><u>1/3x - 1/2y = 1</u>
At the 'x' intercept, y=0 , and the equation is 1/3 x = 1
Multiply each side by 3 : <em>x = 3 </em> <== the x-intercept
At the 'y' intercept, x=0, and the equation is -1/2 y = 1
Multiply each side by 2 : - y = 2
Multiply each side by -1 : <em> y = -2 </em> <== the y-intercept
</span>
Answer:
60
Step-by-step explanation:
