<span>Ending Amt = Bgng Amt * e ^-0.03t
In this equation, the "-0.03" is the decay factor or "k"
We can now solve for half-life by this equation:
</span>t = <span>(<span>ln [y(t) ÷ a]<span>)<span> ÷ -k (we can say beginning amount = 200 and ending amount = 100
</span></span></span></span>t = <span>(<span>ln [200 ÷ 100]<span>)<span> ÷ -k
</span></span></span></span>t = <span>(<span>ln [2]<span>)<span> ÷ -k
</span></span></span></span>t = 0.69314718056<span> ÷ --.03
t =</span><span><span><span> 23.1049060187
</span>
about 23 years
</span></span>
Answer: The correct answer is option B: There are between 15 and 20 green pieces in all 5 packages
Step-by-step explanation: The most important factor has been given which is, "Which statement about the candy pieces in the remaining packages is best supported by this information."
The information given is such that, the first package she opened had 4 green pieces and on this basis we can safely assume that all other packages have 4 green pieces as well. The second package had 3 green pieces and this based on this too we can safely assume that all other packages had 3 green pieces. Hence, all 5 packages can either have a total of 4 x 5 green candies which equals a total of 20 green pieces or, all 5 packages can have a total of 3 x 5 green candies which equals a total of 15 green pieces.
So according to Suzi's experiment, there are between 15 and 20 green pieces in all 5 packages.
Answer: b. Y= -6/5x + 6/5
First find the slope of your two points, then write your equation in point-slope form. Using your equation in point-slope form, you can solve and convert it to slope-intercept form.
Answer:
m = 3 , n = 4
Step-by-step explanation:
<u>Using Section Formula.</u>
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![Here (x_1 , y_ 1 ) = ( -7 , 1 ) \ and \ (x_ 2 , y _ 2 ) = (m , 6)\\\\ratio\ a:b = 3 : 2\\\\Therefore, P (x, y) \\\\x = \frac{3m + (2\times -7)}{5} \ \ \ \ \ \ \ \ \ \ \ [ \ x = -1 \ ] \\\\-1 = \frac{3m - 14}{5}\\\\- 5 = 3m - 14\\\\-5 + 14 = 3m\\\\9 = 3m \\\\m = 3](https://tex.z-dn.net/?f=Here%20%28x_1%20%2C%20y_%201%20%29%20%3D%20%28%20-7%20%2C%201%20%29%20%5C%20and%20%5C%20%28x_%202%20%2C%20y%20_%202%20%29%20%3D%20%28m%20%2C%206%29%5C%5C%5C%5Cratio%5C%20a%3Ab%20%20%3D%203%20%3A%202%5C%5C%5C%5CTherefore%2C%20P%20%28x%2C%20y%29%20%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B3m%20%2B%20%282%5Ctimes%20-7%29%7D%7B5%7D%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5B%20%5C%20x%20%3D%20%20-1%20%5C%20%5D%20%5C%5C%5C%5C-1%20%3D%20%5Cfrac%7B3m%20-%2014%7D%7B5%7D%5C%5C%5C%5C-%205%20%3D%203m%20-%2014%5C%5C%5C%5C-5%20%2B%2014%20%3D%203m%5C%5C%5C%5C9%20%3D%203m%20%5C%5C%5C%5Cm%20%3D%203)
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Answer:
A.
No
B.
Yes
C.
Yes
Step-by-step explanation:
