Answer:
It will take the 20 years for the population to quadruple.
Step-by-step explanation:
Exponential population growth:
An exponential model for population growth has the following model:
In which P(0) is the initial population and r is the growth rate, as a decimal.
It grows with a doubling time of 10 years.
This means that 
. We use this to find r. So
![\sqrt[10]{(1+r)^10} = \sqrt[10]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B%281%2Br%29%5E10%7D%20%3D%20%5Csqrt%5B10%5D%7B2%7D)
So
Determine how long it will take for the population to quadruple.
This is t for which P(t) = 4P(0). So
It will take the 20 years for the population to quadruple.
The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.
<h3>What is moment of inertia?</h3>
Moment of inertia is the quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation.
Using the formulas to calculate the moment of inertia of a solid cylinder:
I = ½MR²
Where;
I = moment (kgm²)
M = mass of object (Kg)
R = radius of object (m)
Total moment of inertia of the two disks is expressed as: I = I(1) + I(2)
That is;
I = ½M1R1 + ½M2R2
According to the provided information;
R1 = 2.50cm = 0.025m
M1 = 0.800kg
R2 = 5.00cm = 0.05m
M2 = 1.70kg
I = (½ × 0.800 × 0.025²) + (½ × 0.05² × 1.70)
I = (½ × 0.0005) + (½ × 0.00425)
I = (0.00025) + (0.002125)
I = 0.002375
I = 2.375 × 10-³ Kgm²
Hence The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.
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Answer:
33.
Step-by-step explanation:
x^2 - 7x + 4.
The discriminant of the above
= b^2 - 4ac
= (-7)^2 - 4*1*4
= 49 - 16
= 33.
To simplify square root 27, find two numbers that equal 27. But also, one of the numbers should be a perfect square (such as 4, 9, 36...).
9*3=27. The square root of 9 is 3, which makes it a perfect square. So, the answer is A.
