Answer:
9/16
Step-by-step explanation:


Derivative rule:


Here, n=-1, so

Evaluating this at x=-4 gives 9/16
Answer:
Daughter age = 3 years
Step-by-step explanation:
Let x be the age of the women and y be the age of the daughter.
Given:
After five year the sum of the women and daughter age = 40

At present the sum of the women and daughter age



--------------(1)
So the sum of the present age is 
The difference in their present age is 24 years.


Now we substitute x value in equation 1.






Therefore, the daughter age is 3 years.
Answer:
Work shown below!
Step-by-step explanation:


Using the percentage concept, it is found that 75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.
<h3>What is a percentage?</h3>
The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

In this problem, we have that:
- We consider that the population of both Beautiful Sunrise and Gorgeous Sunset islands is of x.
- There is a fiesta at Beautiful Sunrise, and a number a of people from Gorgeous Sunset are coming, hence, there will be x + a people at Beautiful Sunrise and x - a people t Gorgeous Sunset.
The percentage of people from Gorgeous Sunset is on Beautiful Sunrise now is:

Now the number of people on Beautiful Sunrise is seven times the number of people on Gorgeous Sunset, hence:

We can find a <u>as a function of x</u> to find the percentage:





Then, the percentage is:




75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.
You can learn more about the percentage concept at brainly.com/question/10491646
Answer:
1 gallon=3.79 liters 2 liter juice bottle would hold more
Step-by-step explanation: