They started at 453, then climbed 162, so now they are at:
453 + 162 = 615 feet.
They then cllmb another 207 feet to get to:
615 + 207 = 822 feet.
They then descend ( climb down) 285 feet.
822 - 285 = 537 feet.
Now they need to get back tot he original 453,
so they have to descend:
537 - 453 = 84 more feet.
The answer is C.
6 × 2 = 12 so 6 is the dilation factor
thus 4 × 6 is PQ which is 24
<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:
$0.95
Step-by-step explanation:
Given that weight of the function = x
Given that cost of the postage for mail having weight less than or equal to 1 oz = $0.44
then to find the equation can be written as
C(x)=0.44 where 0<x<=1
Similarly we can write equation for other parts
C(x)=0.61 where 1<x<=2
C(x)=0.78 where 2<x<=3
C(x)=0.95 where 3<x<=3.5
Now we can write them together as piecewise function as shown in below:
to graph that we just draw horizontal lines for each as none equation contains x on the right side .
3.48 oz is less that 3.5 so we will use $0.95.
