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MissTica
2 years ago
9

Write the denominator of the rational number257/500 in the form 2 m x 5 n , m and n are negative integers Hence write its decima

l expansion without actual division.
Mathematics
1 answer:
maw [93]2 years ago
6 0

Answer:

0.514

Step-by-step Explantion:

Denominator = 500 = 2^2 * 5^3

257/500 = 257/2^2*5^3 = 2*257/2*2^2*5^3 = 514/2^3*5^3 = 514/(2*5)^3 = 514/10^3 = 0.514

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What is the smallest positive prime factor of 2017^2019 +2019^2017​
kogti [31]

Answer:

17

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Shelley is searching online for airline tickets. Two weeks​ ago, the cost to fly from Boston to Denver was ​$300. Now the cost i
Nady [450]

Answer:

The percentage increase without baggage fee=25%

The percentage increase with baggage fee=41.66%

Step-by-step explanation:

Given the cost of the airline ticket two weeks ago is $300 and The present airline ticket is $375

We know that when a quantity increases from x to y then The percentage increase is equal to \frac{y-x}{x} *100

Here the percentage increase =  \frac{375-300}{300} *100=25%

Now the airline charges an extra $50 baggage fee which means teh present value of the airline ticket is $375+$50=$425

the percentage increase =  \frac{425-300}{300} *100=41.66%

4 0
2 years ago
Jinni opened a bank account. She deposited $87.60 into her account every month for 10 months. She used $25.60 every month to pay
Pavel [41]
Ok to find the answer all you have to do is multiply 87.60*10=876
then do the same for 26.60*10=256 then you subtract 856-256
=620
6 0
2 years ago
In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard dev
Paha777 [63]

Answer:

0.3114

Option d is right

Step-by-step explanation:

Let X be the time spent on a treadmill in the health club

Given that  research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes

Also given that X is normal

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.

= P(30

round off to two decimals tog et

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill is 0.31

Hence option d is right

3 0
2 years ago
Consider the graphs of f (x) = StartAbsoluteValue x EndAbsoluteValue + 1 and g (x) = StartFraction 1 Over x cubed EndFraction. T
Westkost [7]

Answer:

We have the functions:

f(x) = IxI + 1

g(x) = 1/x^3.

Now, we know that the composite functions do not permute.

How we can prove this?

First, two composite functions are commutative if:

f(g(x)) = g(f(x))

Well, you could use brute force (just replace the values and see if the composite functions are commutative or not)

But i will use a more elegant way.

We can notice two things:

g(x) has a discontinuity at x = 0.

so:

f(g(x)) = I 1/x^3 I + 1

still has a discontinuty at x = 0, but:

g(f(x)) = 1/( IxI + 1)^3

here the denominator is IxI + 1, is never equal to zero.

So now we do not have a discontinuity.

Then the composite functions can not be commutative.

7 0
2 years ago
Read 2 more answers
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