Is 2.72135 rational or irrational

Step-by-step explanation:

Pick a function that is the same "family".  It needs to be a function that you know diverges or converges.  So p-series and geometric series are common choices.  Often we make the numerators the same so that it's easy to compare.

For example, if you have an = 1 / (n − 1), you would choose bn = 1 / n.  Since n − 1 is less than n, we know an is greater than bn.  And since we know bn diverges, that means the larger function an also diverges.

Or, if you have an = 1 / (n + 1), we again choose bn = 1 / n.  However, comparison test is inconclusive here (an < bn, bn diverges), so we use limit comparison test instead.

lim(n→∞) an / bn

lim(n→∞) 1 / (n + 1) / (1 / n)

lim(n→∞) n / (n + 1)

1

The limit is greater than 0, and bn diverges, so an also diverges.

Let's try something more complicated.  Let's say an = e⁻ⁿ / (n + cos²n).  The numerator e⁻ⁿ is always less than 1, and the denominator is always greater than n.

If we again choose p-series bn = 1 / n, we know bn > an, and bn diverges, so comparison test is inconclusive.  Limit comparison test is possible, but tricky.

But, if we choose geometric series bn = e⁻ⁿ / 1, we know bn > an, and bn converges, so by comparison test, an converges as well.

We can try one more: an = (n² + 2) / (n⁴ + 5).  Let's choose bn = (n² + 2) / n⁴ = 1 / n² + 2 / n⁴.

The numerators are the same, but an has a larger denominator, so bn > an.  bn is the sum of two p-series which converge, so bn converges.  Therefore, an converges.

Answer: ion evn kno cuh

Step-by-step explanation:

Answer:

This is arithmetic sequence and the common difference is equal to -4.

Step-by-step explanation:

If yuh just want the answer here, not explained

Answer:

-2x+11

Step-by-step explanation:

You need to combine like terms, so combine the x terms first.

You would have

-2x-3x+3x=-2x

Then combine the like terms of the normal numbers

2+5+4=11

Answer:

-2x+11

-hope this is what you were looking for:))

Step-by-step explanation:

Answer:

c. 16/25

Step-by-step explanation:

divide

Answer:d

Step-by-step explanation:I took the test too

Based on the total cost of the haircut with the tip included, the cost of the haircut before the tip was $10.50

The cost of the haircut give of $12.60 is merely the cost of the haircut including the 20% tip.

To find the cost of the haircut before the tip was included, assume that it is x. The relevant expression would then be:

Total cost including tip = x × (1 + tip percentage)

Solving for the haircut cost before the tip gives:

12.60 = x ( 1 + 20%)

12.60 = 1.20x

x = 12.60 / 1.20

x = $10.50

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Answer:

10%

Step-by-step explanation:

Because 0.1 is equivalent to 1/10 and 10%

Answer:

3000 weekly

39000 annually

Step-by-step explanation:

Answer:

39,000 dollars

Answer:

0 leaves

Step-by-step explanation:

Answer:

tiene            0

Step-by-step explanation:

0 hojas  

Answer:

In y intercept form, the equation would be: Y= -1/3x -6

Step-by-step explanation:

In order to find the equation, you can use any points given. In this case, I used (-6,-4) and (-3,-5).

With these points, you must find the slope. The change in our y values is -1 and the change in our x values is +3.

Now we have Y= -1/3x

To find the y intercept, you look on the graph for where there's a point that is lying on y line. In this case (0,-6) is lying on the y line. This means that the Y intercept for our equation is -6. Another example is (0,8), our y intercept would be 8 because the x value is 0!

In conclusion, our equation in y intercept form would be Y= -1/3x-6

Hope this helps!! :)

Answer:

.800

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Let's see 24:30 as a fraction first...

24/30

Now let's simplify it,

(24 ÷ 3) / (30÷3)=

8/10

8/10= 0.8

Answer:

$24,110    

Step-by-step explanation:

From the given information, we have:

Item No.   Quantity   Cost per Unit  Cost to Replace  Estimated Selling Price

1320             1,200           $3.20                    $3.00                   $4.50

1333                900             2.70                       2.30                     3.50

1426               800              4.50                       3.70                     5.00

1437               1,000            3.60                        3.10                    3.20

1510                700              2.25                        2.00                   3.25

1522               500            3.00                         2.70                    3.80

1573                3,000         1.80                         1.60                     2.50

1626                 1,000        4.70                         5.20                    6.00

Cost of Completion and Disposal       Normal Profit          Final Inventory

$0.35                                                        $1.25                     $3600

0.50                                                          0.50                     $2,250

0.40                                                           1.00                        $2960

0.25                                                           0.90                       $2950

0.80                                                            0.60                       $1400

0.40                                                           0.50                       $1450

0.75                                                           0.50                        $4800

0.50                                                            1.00                       $4700  

                                                                                                 $24,110        

To determine the amount of Inventory, we multiply the designated market value with the quantity, then sum all the results up but in the last part,we use the cost per unit instead becuase it is lower than the designated market value.

Answer:

The opposite of 1/2 is -2/1, which can also be written as -2.

Step-by-step explanation:

[tex]5 \frac{1}{2} \times 1 \frac{2}{5} \\ \\ \frac{11}{2} \times \frac{7}{5} \\ \\ \frac{77}{10 } = 7.7[/tex]

Answer:

[tex]15360\,\,rupees[/tex]

Step-by-step explanation:

Let sides of the triangle be [tex]a,b,c[/tex]

[tex]a=40\,,\,b=24\,,\,c=32[/tex]

Semi-perimeter (s) = [tex]\frac{a+b+c}{2}[/tex]

[tex]=\frac{40+24+32}{2}\\ =\frac{96}{2}\\=48[/tex]

Area of one tile [tex]=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]=\sqrt{48(48-40)(48-24)(48-32)}\\ =\sqrt{48(8)(24)(16)}\\ =\sqrt{147456} \\=384\,\,cm^2[/tex]

So,

Area of 20 tiles [tex]=20(384)=7680\,\,cm^2[/tex]

Cost of polishing the floor at the rate of 2 rupees per sq.cm = [tex]7680(2)=15360\,\,rupees[/tex]

Answer:

...........................

Answer:

I think its a... carrot

Answer:

204+272+9

Step-by-step explanation:

Start by crossing out absurd answers, it helps a lot. Then you're left with two and choose the correct answer by doing the math

Step-by-step explanation:

cross the ones that you think are not right

Answer:

150

Step-by-step explanation: one apple cost $0.50, so 75/ $0.50= 150

Answer: no

Step-by-step explanation:

because you can do what is known as the vertical line test to determine if it is a function you do that by plotting it and if it goes in a vertical line then it is a function

Answer:

50%

Step-by-step explanation:

Answer:

50 present

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

First you need to multiply 3 x 3 (9), because that's all 3 squared means.

Now the equation should be 9x-6x+3=0

Next we need to combine like terms. Do 9x - 6x which should give you 3x

Now your equations should be 3x+3=0

Now for the somewhat harder part...

Under the three (the one without the x) write -3 and under the zero write the same thing.  the +3-3 cancels out so just put a line or something across it.

0-3= -3

so now you should have...

3x=-3    ignore the 3x, at this point it's useless in getting the answer because it would cancel out.

-3 divided by -3  is 1 because a negative (-)  divided by a negative (-) equals a positive (+).

The answer should be  x = 1

Answer:Terms, like terms, constant(s),Variable (s),Coefficient(s)

Step-by-step explanation: 18.1x,4.7 and 1/6=Terms

The matched part with the respective appropriate description:

1) x and y → Variable(s)

2) 1/6 →  Constant(s)

3) 12.1, 4.7, and 6 →  Coefficient(s)

4) 12.1x and 6x →  Like Terms

5) 12.1x, 4.7y, and 1/6 →  Terms

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

We have the algebraic expression,

12.1x - 4.7y + 6x + 1/6.

From the definition,

x and y are the two variables.

And 12.1, 6 and -4.7 are the numbers in front of the variables.

So, 12.1, 6 and -4.7 are the coefficients.

And 1/6 is the constant.

So, 1) x and y → Variable(s)

2) 1/6 →  Constant(s)

3) 12.1, 4.7, and 6 →  Coefficient(s)

4) 12.1x and 6x →  Like Terms

5) 12.1x, 4.7y, and 1/6 →  Terms

Therefore, each part of the algebraic expression matched with its appropriate description.

To learn more about the expression;

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Answer:

its B

Step-by-step explanation:

I calaulated all the numbers

Answer:

cant tell

Step-by-step explanation:

need more explanation

Answer:

K=-13

Step-by-step explanation:

-2=(k+7)/3

-6=k+7

-13=k

Answer:

[tex]2x + 11[/tex]

Step-by-step explanation:

1) Expand by distributing terms.

[tex]2x + 6 + 5[/tex]

2) Collect like terms.

[tex]2x + (6 + 5)[/tex]

3) Simplify.

[tex]2x + 11[/tex]

The first step to do this equation is to expand.which means to solve whats inside the parentheses first. If you expand you'll get a answer of 2x + 11.

Answer:

bust a uhhh

Step-by-step explanation:

ya dig

Answer:

We need the grid to figure this out

Answer:

A: 4 / 24 (or 1/6) B: (24 - 3) / 24 = 21/24 (or 7/8) C and D: Theoretical probability for each number is 1/6 on each roll, and we expect 4 occurrences of each number, on average. 2 came up as expected. 6 came up 3/4 as often as expected. Or "Not-6" came up 21 instead of 20 times, slightly more often than expected.

Step-by-step explanation: