Answer:
The series diverges
Step-by-step explanation:
First, let's find the sequence:

As we can see, they are multiples of 4, so one possible sequence is:

Hence, we can represent the series as:

Let's use the zero test which states:

So:

Therefore, by the zero test, the series diverges
Answer:
1 quart blue + 1 1/2 quart red
Step-by-step explanation:
Given:
Ratio of blue paint : red paint = 1/3 : 1/2
simplifying this ratio into whole numbers by multiplying both sides by 2 and 3, we get:
(1/3) x (3x2) : (1/2) x (3x2)
2 : 3
From this we can determine the fractions of red and blue paint used in any total purple mix
fraction of blue paint = 2/(2+3) = 2/5 of purple mix
fraction of red paint = 3/(2+3) = 3/5 of purple mix
we are given that we want to make 2 1/2 (= 5/2) quarts of purple paint
hence
amount of blue paint
= fraction of blue paint in purple mix x total amount of purple paint
= (2/5) x (5/2) = 1 quart
amount of red paint
= fraction of redpaint in purple mix x total amount of purple paint
= (3 /5) x (5/2) = 3/2 quart = 1 1/2 quart
24 min is how long it should take
Answer:
C) Multiplied by 5
Step-by-step explanation:
So with this, I will be using the substitution method. With the first equation, substitute (y+3) into the x variable and solve for y:

Next, now that we have the value of y, substitute it into either equation to solve for x:

<u>And this is how you get your final answer (5,2).</u>