<h3>
Answer:</h3>
A) 177.568 thousand.
B) 125.836 thousand.
<h3>
Step-by-step explanation:</h3>
In this question, it is asking you to use the equation to find the population of ladybugs in a certain year.
Equation we're going to use:
We know that the "x" variable represents the number of years since 2010, so that means our starting year is 2010.
Lets solve the question.
Question A:
We need to find the ladybug population is 2024.
2024 is 14 years after 2010, so our "x" variable will be replaced with 14.
Your equation should look like this:
Now, we solve.
You should get 177.568
This means that the population of ladybugs in 2024 is 177.568 thousand.
Question B:
We need to find the ladybug population is 2060.
2060 is 50 years after 2010, so the "x" variable would be replaced with 50.
Your equation should look like this:
Now, we solve.
This means that the population of ladybugs in 2060 would be 125.836 thousand.
<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
Answer:
Step-by-step explanation:
Let
x -----> the number of days
y ----> the number of minutes Yuson has left
we know that
The linear equation in slope intercept form is equal to
where
m is the slope
b is the y-coordinate of the y-intercept (initial value)
In this problem we have
The slope is equal to
----> is negative because is a decreasing function
----> initial value
substitute the values
Answer:
The multiplicative inverse of -0.7 is -1/0.7
hope it helps
B, the bottom of the figure contains points E, F, and H
Answer:
38
Step-by-step explanation:
We can express the 8th term as x and the 12th term as y.
This would mean that 8x=12y
Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y
Now we can use this to substitute y with x in the first equation. This would give us:
8x=12(x-8)
Which we can expand and solve:
8x=12x-96
-4x=-96
Therefore x=24
This means the 8th term is 24 and the 12th term is 16 (24-8).
To test if this is correct we can do:
8x24=12x16
Which indeed are equal, both sides multiply to 192.
Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)
24+14=38.
The first term is 38.
Hope this helped!
