Answer:
1. 3,168 in³
2. 
Step-by-step explanation:
1. The total volume of the tank - as calculated by the formula for a rectangular prism - 
, where L is length, W is width, and H is height. 15 · 24 · 11 = 3,960 in³. Next, we divide 3,960 by five to get 792. If 792 in³ is the air at the top, we can then subtract that from 3,960 and get 3,168. So there are 3,168 in³ of water in the tank.
2. If we dump 3,168 in³ of water into a 12,672 in³ tank, then 
of the tank will be full. Simplified, that is 
. So that means of the tank will be empty.
Hope this helps! Feel free to ask any questions!
Answer: B
Step-by-step explanation: 6x represents the positive because it represents the amount being made from each ornament. The -30 represents the one-time cost of the table. And the -2.50x represents the cost of each ornament.
I think is A,,,,,,,,,,,,,,,,
The sum of the sum notation ∞Σn=1 2(1/5)^n-1 is S= 5/2
<h3>How to determine the sum of the notation?</h3>
The sum notation is given as:
∞Σn=1 2(1/5)^n-1
The above notation is a geometric sequence with the following parameters
- Initial value, a = 2
- Common ratio, r = 1/5
The sum is then calculated as
S = a/(1 - r)
The equation becomes
S = 2/(1 - 1/5)
Evaluate the difference
S = 2/(4/5)
Express the equation as products
S = 2 * 5/4
Solve the expression
S= 5/2
Hence, the sum of the sum notation ∞Σn=1 2(1/5)^n-1 is S= 5/2
Read more about sum notation at
brainly.com/question/542712
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Answer:
Step-by-step explanation:
As you can see from the graph I attached you, the possible solutions in the interval from 0 to 2π are approximately:
So, it's useful to solve the equation too, in order to verify the result:
Taking the inverse sine of both sides:
Using this result we can conclude the solutions in the interval from 0 to 2π are approximately:
