Answer:
The initial number of bacteria in the culture was 1949
Step-by-step explanation:
The relative growth rate for a certain type of bacteria population is 78% per hour.
As we know the growth of bacteria is exponential function.

where,
P is population of bacteria after n hours.
P₀ is initial population.
r is rate of growth per hour
n is number of hours
A small culture has formed and in just 5 hours the count shows to be 34,820 bacteria in the culture.
P = 34820 , n = 5 , r = 0.78



Hence, The initial number of bacteria in the culture was 1949
Answer:
Step-by-step explanation:
Your axis of symmetry is always going to be related to the x-point of your vertex. In this case, it looks like the vertex of the parabola is (0, 9). The vertex is the highest (or lowest) point of the parabola and is even on both sides. This means that, in order to be symmetrical, you would need to divide this parabola down "0."
Isaiah will mow 9 lawns in 3 hours at the given rate.
Step-by-step explanation:
Given,
Lawns mowed in 25 hours = 75 lawns
We will find unit rate in terms of lawns;
75 lawns = 25 hours
1 lawn = 
9 lawns = 
9 lawns = 3 hours
Isaiah will mow 9 lawns in 3 hours at the given rate.
Keywords: unit rate, fraction
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ANSWER

EXPLANATION
Let

be the equation.
We can choose any two ordered pairs to determine the equation of the relation.

We find m using the formula;


The equation becomes

When x=6, y=15.
This implies that,




The equation of the relation is therefore,

The distance formula is the radical (x2-x1)2 + (y2-y1)^2. So for the x value, you subtract (-1) from 8. But be careful. It’s not 8-1. IT’S 8-(-1). Which x value, 9 should be squared. Which it is 81. The y value, you subtract 0 from 6. Which you should have 6 as your y value. Then, again you have to squared it. So, 6^2 is 36. Now that you have both of your x and y value, you have to subtract them again. In order to subtract, you subtract the y value from the x value. In other words, 81-36. The answer should be 45. But 45 is irrational. Because it can’t be rational under the radical form. So to simplified it, you have to find a number that is rational enough to get out from the inside of the radical form. The only number that would work is 9 and 5. So rad 9 is rational because it could escape from the inside. Which it’s 3 once it’s out. But, 5 is irrational and can’t go out. As a result, the answer is 3 rad 5. Or the 3 is outside of the radical form and 5 is the inside.