I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
1 answer:
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In 90 minutes the population to grow to 700 organisms.
Given that,
A strand of bacteria has a doubling time of 15 minutes.
If the population starts with 10 organisms.
We have to determine,
How long would it take for the population to grow to 700 organisms?
According to the question,
A strand of bacteria has a doubling time of 15 minutes.
If the population starts with 10 organisms.
In 15 minutes strand of bacteria has a doubling time the population starts with 10 organisms.
In 15 minutes 20 bacteria for the population to grow.
In 30 minutes strand of bacteria has a doubling time the population starts with 20 organisms.
In 30 minutes 40 bacteria for the population to grow.
In 45 minutes strand of bacteria has a doubling time the population starts with 40 organisms.
In 45 minutes 80 bacteria for the population to grow.
In 60 minutes strand of bacteria has a doubling time the population starts with 80 organisms.
In 60 minutes 160 bacteria for the population to grow.
In 75 minutes strand of bacteria has a doubling time the population starts with 160 organisms.
In 75 minutes 320 bacteria for the population to grow.
In 90 minutes strand of bacteria has a doubling time the population starts with 320 organisms.
In 90 minutes 640 bacteria for the population to grow.
In 120 minutes strand of bacteria has a doubling time the population starts with 640 organisms.
In 120 minutes 1280 bacteria for the population to grow.
Hence, In 90 minutes the population to grow to 700 organisms.
For more details refer to the link given below.
We have been given a graph of function g(x) which is a transformation of the function
Now we have to find the equation of g(x)
Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.
First you should check the graph of
You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.
Now the given graph has asymptote at x=-2
which is just 2 unit down from the original asymptote x=0
so that means we need shift f(x), 2 unit down hence we get:
but that will disturb the y-intercept (0,1)
if we multiply by 3 again then the y-intercept will remain (0,1)
Hence final equation for g(x) will be:
Lets get started :)
The First question:
Diameter = 20 ft
Radius =
of 20 (diameter) = 20 ft
Area formula of a circle is
A =
r²
=(10)²
=100 ft²
≈ 314 ft²
The answer will be the second option
The Second question:
radius of circle = 12mm divided into 20 sectors area
A =r²
=(12)²
= 144 ft²
Divide into 20 equal sector areas =
≈ 22.6 mm²
Your answer will be the third option
The Third Question:
90°, sector area = 36 , Radius = ?
and cancels out
We can now cross multiply
360 × 36 = 90r²
12960 = 90r²
Divide by 90 on either side
144 = r²
Take squareroot
x = 12 in
Your answer will be the third option
The First question:
Diameter = 20 ft
Radius =
Area formula of a circle is
A =
=
=100
≈ 314 ft²
The answer will be the second option
The Second question:
radius of circle = 12mm divided into 20 sectors area
A =
=
= 144
Divide into 20 equal sector areas =
≈ 22.6 mm²
Your answer will be the third option
The Third Question:
90°, sector area = 36
We can now cross multiply
360 × 36 = 90r²
12960 = 90r²
Divide by 90 on either side
144 = r²
Take squareroot
x = 12 in
Your answer will be the third option