Answer:
225 in.^3
Step-by-step explanation:
You need to find the volume of the container.
The container has the shape of a rectangular prism.
volume = length * width * height
volume = 5 in. * 4.5 in. * 10 in.
volume = 225 in.^3
Answer:
C) Impossible
Step-by-step explanation:
Since there are no blue cards, the probability that you'd draw one is 0/12, which means that there is no chance you'll draw one.
4x - 5y = -15
y = -3x + 22
Plug in your y= equation into the y variable in the other equation
4x - 5 (y) = -15
^^
y = (-3x + 22) = -15
4x - 5 (-3x + 22) = -15
Distribute
4x + 15x - 110 = -15
Combine like terms and add 110 over to -15
19x = 95
Then, divide the whole equation by 19
x = 5
Then, plug in your x into your y= equation
y = -3 (5) + 22
y = -15 + 22
y = 7
<em><u>x = 5</u></em>
<em><u>y = 7</u></em>
<em><u>(5, 7)</u></em>
Option A: The sum for the infinite geometric series does not exist
Explanation:
The given series is 
We need to determine the sum for the infinite geometric series.
<u>Common ratio:</u>
The common difference for the given infinite series is given by

Thus, the common difference is 
<u>Sum of the infinite series:</u>
The sum of the infinite series can be determined using the formula,
where 
Since, the value of r is 3 and the value of r does not lie in the limit 
Hence, the sum for the given infinite geometric series does not exist.
Therefore, Option A is the correct answer.