Answer:
8 days
Step-by-step explanation:
On day 8, Isabella will save 256 nickels, bringing her total to 510.
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The number of nickels saved on day n is 2^n. The total is 2^(n+1)-2.
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The above can be written down from your knowledge of binary sequences. If you want a more formal development, read on.
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The number of nickels saved on day n is a geometric sequence with first term 2 and common ratio 2. The n-th term of the sequence is ...
an = a1·r^(n-1) = 2·2^(n-1) = 2^n
The sum of n terms of the sequence is ...
S = a1(r^n -1)/(r -1) = 2(2^n -1)/(2-1)
S = 2^(n+1) -2
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We want S > 500, so ...
500 < 2^(n+1) -2
502 < 2^(n+1)
251 < 2^n
log(251) < n·log(2)
n > log(251)/log(2)
n > 7.97 . . . . . . . . 8 days or more to save more than 500 nickels
The circumference of a circle is calculated through the equation,
C = 2πr
where C is circumference and r is radius. For this item, I assume that 12 in is the radius such that,
C = 2π(12 in) = 24π
Thus, the circumference of the circle is 24π inches.
1- Line:
A line is a one dimensional figure that is formed by joining an infinite set of points.
It has no start and no end.
Answer:
Line ..............> A) infinite number of points extending in opposite directions that has only one dimension
2- Line segment:
It is the same as the line. The only difference is that a line segment has a fixed start point and a fixed end point. It is considered to be a portion of a line
Answer:
Line segment .........> D) a part of a line that has two endpoints
3- Ray:
A ray is also a one dimensional shape. A ray usually has a start point but no end point.
Answer:
Ray .........> B) part of a line that has one endpoint and continues in one direction infinitely
4- Point:
A point is a dimensionless geometric shape. It is only used to state a certain location.
Answer:
Point .........> C) a location, has no dimension
5- Vertex:
A vertex is a term that is used to refer to the point where the two rays forming an angle meet.
Answer:
Vertex ........> E) the common endpoint of two segments or rays that form the corner of an angle
Hope this helps :)
Answer: 10x - 25x - 35
Step-by-step explanation:
F 2x times 5x = 10x
O 2x times 5 = 10x
I -7 times 5x = -35x
L -7 times 5 = -35
Hope This Helps :)
Answer:
What do think the answer is cause I don't know