What is scientific notation used for? How does it work?
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Answer:
Scientific notation is a way to make these numbers easier to work with. In scientific notation, you move the decimal place until you have a number between 1 and 10. Then you add a power of ten that tells how many places you moved the decimal.
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The fraction is defined as a number in the form of a/b where a nd b are integers and b is not equal to zero. Sarah has left with 120 balloons.
What is a Fraction?
A fraction is used to represent a portion or part of anything. It consists of two parts a numerator and a denominator. For example 1/4 is a fraction where numerator is 1 and denominator is 4.
The total number of packages = 8
Number of balloons in each package = 20.
The portion of balloons use to decorate hall = 1/4.
Suppose the remaining balloons are x.
Thus the expression for remaining balloons can be written as,
x = 20 × 8 - 1/4×(20 × 8)
x = 160 - 40
= 120.
Hence, Sarah has left with 120 balloons and the expression for left balloons is x = 20 × 8 - 1/4×(20 × 8).
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Answer:
(8 × 20) ÷ 4
40
Step-by-step explanation:
8 × 20 = 160
160/4 = 40
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X^2 = 17^2 - 15^2
X^2 = 289-225
X^2 = 64
X = sqrt64
X= 8cm
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Answer:
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Answer:
absolutely convergent
Step-by-step explanation:
given data
sin(n)/3^n
solution
we have given term
when n = 1
and we know that
value of sin(n) ≤ 1
so that we can say that
≤
or
here is converges this is because common ratio in geometric series
here r is and here it satisfy that -1 < r < 1
so it is converges
and
is also similar
so it is converges
and here no term is
so we can say series is absolutely convergent
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First of all, we see what are looking for.
We want to find the length of each side
What do we know?
Perimeter is 56
We are also given relation of between all the sides
But first we make some suggestions to the problem
Say that x is the shortest side
That means the longest is 2x-8
and the thirst side is x+4
Now we the desired information.
Perimeter=56=x+2x-8+x+4
we solve for x
combining like terms we get
4x-4=56
subtract 4 from both side
4x-4+4=56+4
4x=60
divide by 4 both side
4x/4=60/4
x=15
Shortest side is 15
longest side is 2(15)-8=30-8=22
3rd side is 15+4=19
if we add them up
15+22+19=56
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Answer:
6,1
Step-by-step explanation: