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horsena [70]
3 years ago
5

A bacteria culture contains 100 cells and grows at a rate proportional to its size. After one hour the population has increased

to 480. Find an expression for the number of bacteria after t hours.
Mathematics
1 answer:
xenn [34]3 years ago
7 0
We know it begins at 100. If we use a*b^t, then 100 is our a. 100*b^t. We can now divide 480 by 100. This is 4.8. 4.8 is b. f(t) = 100(4.8)^t
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Grace rolled 33 inches of noodle dough. Each noodles is 3/8 long. How many noodles can she make?
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Answer:

88

Step-by-step explanation:

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------------------

3/8 = 0.375

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33 ÷ 0.375 = 88

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4 years ago
Write the equation of a line in slope intercept form that is parallel to the line y= 1/3x + 5 and passes through (-9, 5)
vladimir2022 [97]
Find the slope of line 1
The equation of line 1 is y = (1/3)x + 5
m = 1/3

Find the slope of line 2
Line 2 is parallel to line 1. Parallel lines have the same number of slope. So the slope of line 2 is 1/3

Find the slope-intercept form of equation, with m = 1/3 and (-9,5)
General formula
y - y₁ = m(x - x₁)

Input the number to the formula
y - y₁ = m(x - x₁)
y - 5 = 1/3(x - (-9))
y - 5 = 1/3 (x + 9)
y - 5 = (1/3)x + 3
y = (1/3)x + 3 + 5
y = (1/3)x + 8

The equation is y = (1/3)x + 8
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7 0
2 years ago
Read 2 more answers
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