<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.
Answer:1. (1,2) 2.(-1,0)
Step-by-step explanation:
1. 5x-4(-3x+5)=3 x=1 2. 3(2y-1)-2y=-3 y=0
y=-3x1+5 y=2 Plug them in X=2x0-1 x=-1 plug them in
The GCF is 
Explanation:
The GCF or greatest common factor is the factorization of two or more numbers to determine the greatest number that they have common.
The given terms are 
and 
To determine the gcf of these two terms, let us find the greatest number that they have in common.
Comparing the powers of m from both the terms, we have,
Similarly, comparing the powers of n from both the terms, we have,
Also, comparing the powers of p from both the terms, we have,
Thus, the GCF of the terms and is
Simply add the exponents to be 2^5.
Answer:
Step-by-step explanation:
Search what is one yard in feet on goggle and it will bring you a calculator where you can put the formulas and solve your problem.
