<h2>
Answer:</h2>
<h2>Step-by-step explanation:</h2><h3>Given:</h3>
<h3>To Find:</h3>
<h3>Solution:</h3>
We know the value of x and y,
x = 6 and y = -1 [Given]
<u>Substitute the </u><u>value,</u>
- 4x + 5y
- 4(6) + 5(-1)
- 24 + (-5)
- 24 - 5
- 19 Ans.
<h3>
Answer: 375</h3>
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Work Shown:
a = 300 = first term
r = 60/300 = 0.2 = common ratio
We multiply each term by 0.2, aka 1/5, to get the next term.
Since -1 < r < 1 is true, we can use the infinite geometric sum formula below
S = a/(1-r)
S = 300/(1-0.2)
S = 300/0.8
S = 375
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As a sort of "check", we can add up partial sums like so
- 300+60 = 360
- 300+60+12 = 360+12 = 372
- 300+60+12+2.4 = 372+2.4 = 374.4
- 300+60+12+2.4+0.48 = 374.4+0.48 = 374.88
and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.
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Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.
To find the area, your just supposed to multiply
Answer: feet is 13.5 14400 seconds which is 4 hours
I hope im right
Step-by-step explanation:
Answer: 8
Step-by-step explanation: