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dsp73
2 years ago
6

Is the quotient of √10 and 5 a rational number? Explain.

Mathematics
1 answer:
zhuklara [117]2 years ago
7 0

Answer:

No, it is irrational.

Step-by-step explanation:

The quotient of √10 and 5 is equal to \frac{\sqrt{10}}{5} } which equals 0.6245553...

The number goes on and on forever with no determinable pattern (i.e. the decimal 0.234234234... although the decimal goes on forever, the 234 repeats over and over).

If you're still confused, check out https://www.mathsisfun.com/irrational-numbers.html I find it to be a really helpful website!

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The price of products may increase due to inflation and decrease due to depreciation. Derek is studying the change in the price
BaLLatris [955]
For product A, the product is increasing, for the bigger the number you plug into x (due to the fact that the numbers become bigger because of the time: year 1, year 2, etc)
Product A is 82% change rate, while 
product B is 983.45/4 = 245.8625,  1756.16/3 = <span>585.3867</span>
Product B is 245.8625/585.3867
product B is 42% change rate

Product A change rate is higher than Product B by 40%

hope this helps
3 0
2 years ago
On a certain​ route, an airline carries 7000 passengers per​ month, each paying ​$30. A market survey indicates that for each​ $
KengaRu [80]

Answer:

The ticket price that maximizes revenue is $50.

The maximum monthly revenue is $250,000.

Step-by-step explanation:

We have to write a function that describes the revenue of the airline.

We know one point of this function: when the price is $30, the amount of passengers is 7000.

We also know that for an increase of $1 in the ticket price, the amount of passengers will decrease by 100.

Then, we can write the revenue as the multiplication of price and passengers:

R=p\cdot N=(30+x)(7000-x)

where x is the variation in the price of the ticket.

Then, if we derive R in function of x, and equal to 0, we will have the value of x that maximizes the revenue.

R(x)=(30+x)(7000-100x)=30\cdot7000-30\cdot100x+7000x-100x^2\\\\R(x)=-100x^2+(7000-3000)x+210000\\\\R(x)=-100x^2+4000x+210000\\\\\\\dfrac{dR}{dx}=100(-2x)+4000=0\\\\\\200x=4000\\\\x=4000/200=20

We know that the increment in price (from the $30 level) that maximizes the revenue is $20, so the price should be:

p=30+x=30+20=50

The maximum monthly revenue is:

R(x)=(30+x)(7000-100x)\\\\R(20)=(30+20)(7000-100\cdot20)\\\\R(20)=50\cdot5000\\\\R(20)=250000

3 0
2 years ago
The value of zlatans house has increased by 7% his house is now valued at £749 000 work out the value of the house before the in
Colt1911 [192]

Answer:

Let x be the value of the house before increase

Since it's increases add 7% to the overall 100%

107/100x = 749000

x = 700000

The value of the house before increase is £700000.

Hope this helps.

4 0
2 years ago
What is 10.2719 rounded to the nearest hundreth?
Paladinen [302]
Find the number in the hundredth place
7
7
and look one place to the right for the rounding digit
1
1
. Round up if this number is greater than or equal to
5
5
and round down if it is less than
5
5
.
10.27
4 0
2 years ago
Read 2 more answers
What's .072 ÷ 345.00 is round to nearest tenth
elena55 [62]
<span>0.00020869565 - that is the whole answer, but if you were to round to the nearest tenth it would be 0.0</span>
7 1
2 years ago
Read 2 more answers
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