Answer:
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The initial number of bacteria is Po=40 and it doubles (P=2Po) at t=20 min. With that point we can find the value of r:
Simplifying:
Solving for 1+r:
![1+r=\sqrt[20]{2}](https://tex.z-dn.net/?f=1%2Br%3D%5Csqrt%5B20%5D%7B2%7D)
The exponential function that models the situation is:
Answer: 4.20 gigabyte
Step-by-step explanation:
Based on the information given in the question, the equation that can be used to determine the the number of gigabytes of data Peyton can use while staying within her budget will be:
48 + 3g = 60.60
3g = 60.60 - 48
3g = 12.60
g = 12.60/3
= 4.20
The number of gigabytes of data is 4.20g
8-4=4
4-(3/4)= 3.25 or 3 1/4
By definition, we have to:
In mathematics, the commutative property or commutativity is a fundamental property that has some operations according to which the result of operating two elements does not depend on the order in which they are taken.
This is fulfilled in ordinary addition and multiplication: the order of the addends does not alter the sum, or the order of the factors does not alter the product.
We have then, that the commutative property of the addition is:
3 + (-7) = (-7) + 3
Answer:
An expression that illustrates the commutative property of addition is:
3 + (-7) = (-7) + 3
Angular velocity = 300 revolutions per minute
1 revolution = 2π radians.
So, we can write:
Angular velocity = 300 x 2π radians per minute = 600π radians per minute
1 minute = 60 seconds.
So,
Angular velocity = 600π radians per 60 seconds
⇒
Angular velocity = 10π radians per second
Angular velocity = 31.42 radians per second
Thus, rounding of to nearest hundredth, the angular velocity will be 31.42 radians per second.
