The point of intersection you are concerned with is the left-most of those of the graphed lines. Thus you want the two equatons that both have x-intercepts that are negative. Since the x-coefficient is positive in every case, this will mean the right-side constants of these equations both need to be negative. The appropriate choice is ...
A. 4x - 5y = -5 and 3x + 10y = -20
Answer:
- 5 min: 3,029,058
- 10 min: 3,398,220
- 60 min: 10,732,234
Step-by-step explanation:
The given function is evaluated by substituting the given values of t. This requires using the exponential function of your calculator with a base of 'e'. Many calculators have that value built in, or have an e^x function (often associated with the Ln function).
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<h3>5 minutes</h3>
The number of bacteria present after 5 minutes is about ...
f(5) = 2.7×10^6×e^(0.023×5) ≈ 3,029,058
<h3>10 minutes</h3>
The number of bacteria present after 10 minutes is about ...
f(10) = 2.7×10^6×e^(0.023×10) ≈ 3,398,220
<h3>60 minutes</h3>
The number of bacteria present after 60 minutes is about ...
f(60) = 2.7×10^6×e^(0.023×60) ≈ 10,732,234
243.87 and 132.37 thts the answer
Well then let's try and find the pattern!
When we add 1 through 10, we can also say that we're adding all of these values together:
1 + 10 = 11
2 + 9 = 11
3 + 8 = 11
4 + 7 = 11
5 + 6 = 11
So we can also say that this is like multiplying 11 * 5 = 55
If we add up to 100, we can see that it's like multiplying 101 * 50 = 5050
From this, we can get an equation:
(x + 1) * (x/2)
So let's plug in 10000 into this equation:
(x + 1) * (x/2)
(10000 + 1) * (10000/2)
10001 * 5000 = 50005000
Answer:
C 50005000
The expression above is composed of 3 terms which are: 3x, 2y, and 8z. All of the terms are the product of two items. The first term is a product of 3 and x. The second is a product of 2 and y. Lastly, the third is a product of 8 and z.
Thus, the expression is a sum of three products and there are only three terms. This answer is the second among the four choices.