<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:
f(x) = (x + 2)(x +6)
1) The function is positive for all real values of x where x > –4 :
COUNTER-EXAMPLE : x = - 3 you have -3>-4 but (-3+2)(-3+6) = -1 ×3 =-3 no positive .
2) The function is positive for all real values of x where
x < –6 or x > –3.
COUNTER-EXAMPLE : x = - 2.5 you have -2.5>-3 but (-2.5+2)(-2.5+6) = -0.5 ×3.5 =-1.75 no positive .
same method for the statement : "The function is negative for all real values of x where
x < –2."
conclusion : statement about the function is true: "The function is negative for all real values of x where
–6 < x < –2."
.
ANSWER
23.6 feet
EXPLANATION
The given triangle is a right triangle.
The hypotenuse is 27 ft.
The given angle I s 29°
The unknown side x, is adjacent to the given angle.
We use the cosine ratio to get,


We multiply both sides by 27 to get;


to the nearest tenth.
Answer:
In order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.
Step-by-step explanation:
As the recipe is missing in this question, the recipe is found online which given following information
- Abel needs 5 cups of flour to make brownies.
- If Abel uses 4 cups of sugar.
- he will need to use 2 cups of cocoa powder.
- The recipe will make brownies if Abel uses only 1 egg.
Abel has to make 45 brownies for the sale, this is also missing in this question, however is given in the reference question linked here.
This recipe is to make 9 brownies. Now for 45 brownies the multiplier is found as 45/9=5. So by multiplying quantity of all the ingredients by 5, Abel will be able to make 45 brownies.
Now in order to make 45 brownies
- Abel needs 5*5 =25 cups of flour to make brownies.
- If Abel uses 5*4=20 cups of sugar.
- he will need to use 5*2=10 cups of cocoa powder.
- The recipe will make brownies if Abel uses only 5*1=5 egg.
So in order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.
Regular size saves $0.0003 per gram I think
someone pls fact check me