Answer:
The equation will be "
".
Step-by-step explanation:
The given values are:
Started with,
= 75 gallons
After 15 hrs,
Tank has,
= 33 gallons
Now,
The slope will be:
= ![\frac{33-75}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B33-75%7D%7B15%7D)
= ![\frac{-42}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B-42%7D%7B15%7D)
= ![-2.8](https://tex.z-dn.net/?f=-2.8)
Thus,
The equation is "
".
Answer:
4x + 36
Step-by-step explanation:
combine like terms
3x + x = 4x
2 + 34 = 36
4x + 36 Is the full answer
d = log₂p represents a logarithmic function, The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.
<h3>What is an
exponential function?</h3>
An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let p represent the bacteria population in thousand after d days.
Since each day, the bacteria population grows by a factor of 2, hence:
![p=2^d](https://tex.z-dn.net/?f=p%3D2%5Ed)
Hence, d = log₂p represents a logarithmic function
The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.
Find out more on exponential function at: brainly.com/question/12940982
Answer:
There are 5 pigs on Aaron's farm
Step-by-step explanation:
1. Start with 40 animals
2. 1/10 of the animals are cows, so divide 40 by 10 and you will find that 4 of the animals are cows
3. 2/5 of the animals are chickens, so multiple 40 by 2 to get 80 and then divide 80 by 5 and you will find that 16 of the animals are chickens
4. Subtract the 4 cows and 16 chickens from the 40 total animals and you find there are 20 more animals that are neither cows nor chickens
5. Of the 20 remaining animals, 1/4 are pigs, so divide 20 by 4 and you will find that there are 5 pigs
When rolled 4 times, each time has a probability of 1/6
So the problem would be (1/6)^4.