Emma conducted an experiment in which she rolled a six-sided, fair number cube 300 times. How many times would you predict she r
2 answers:
You might be interested in
Answer:
Step By Step Explanation:
Expand
Expand
Simplify
There is missing information about this question that I found online.
Given function is:
The question is:
<span>Is this exponential growth or decay? Explain using your understanding of the properties of exponents.
</span>This is an exponential decay.
In general, we can write down exponential functions like this:
Parameter a is the key parameter that will tell how exponential function behaves. If it is positive we have an exponential growth. If it is negative we can rewrite function like this:
We can notice that in this case, the denominator will exhibit exponential growth, in other words, the functions rapidly declines. This is an exponential decay.
Given function is:
The question is:
<span>Is this exponential growth or decay? Explain using your understanding of the properties of exponents.
</span>This is an exponential decay.
In general, we can write down exponential functions like this:
Parameter a is the key parameter that will tell how exponential function behaves. If it is positive we have an exponential growth. If it is negative we can rewrite function like this:
We can notice that in this case, the denominator will exhibit exponential growth, in other words, the functions rapidly declines. This is an exponential decay.
Answer:
.
Step-by-step explanation:
Let x represent side of kennel opposite to house and y represent other sides.
We have been given that a rectangular dog kennel is to be constructed alongside a house with 60 m of fencing.
Since fencing will cover 3 sides of kennel, so perimeter of kennel would be:
Let us solve for x.
The area of the kennel would be product of its sides that is:
Now, we will substitute in area equation as:
Let us find the derivative as shown below:
Now, we will set derivative equal to 0 and solve for y.
Upon substituting in area function, we will greatest possible area.
Therefore, the greatest possible area that can be enclosed by 60 m of fencing is 450 square meters.
