FALSE! Ex. If the numbers on the set are 54 and 54 there is no mode (sorry if wrong)
Don't know whether or not you've encountered differential equations yet, but will try that approach here.
The growth rate is dy/dt = ky (which states that the rate is proportional to the size of the population, y, and k is a constant.
Grouping like terms,
dy
--- = kt, so y = Ne^kt
y
We are told that at t=0, there are 880 bacteria. Thus, 880=N. Therefore,
y = 880e^(kt). After 5 hours the pop will be 4400; using this info, find k:
4400=880e^(5k), or 5 = e^(5k). So, our y = 880e^(kt) becomes
y = 880e^(5t).
What will be the pop after 2 hours? y(2)=880e^(10) = 880(22026) =
approx. 19,383,290 bacteria
Time to reach a pop of 2550? 2550 = 880e^(5t). Find t.
ln 2550 = ln 880 + 5t, so ln 2550 - ln 880 = 5t. Divide both sides by 5 to obtain this time, t.
Answer:
Y = mx + b
y = how far up
x = how far along
m = Slope or Gradient (how steep the line is)
b = value of y when x=0
The 60% of the 60 equals 36 after expressed in the fraction of 100, so the answer is 60%.
<h3>What is the percentage?</h3>
It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
Let's suppose the x% of 60 equals 36
So,
x% of 60 = 36
60x/100 = 36
6x/10 = 36
x/10 = 6
x = 60%
Thus, the 60% of the 60 equals 36 after expressed in the fraction of 100, so the answer is 60%.
Learn more about the percentage here:
brainly.com/question/8011401
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Answer:
B They are similar, but not congruent.
Step-by-step explanation:
Reflection, rotation, and translation are "rigid" transformations. They result in congruent figures.
Dilation is not a rigid transformation. For any dilation scale factor other than 1, the figures will be different sizes, so will not be congruent. They will be similar. (Angles will be congruent, and lines/sides will be parallel.)
The combination of dilation (by 0.5) and reflection results in similar, but not congruent, figures.
