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Answer: 1.961%

Step-by-step explanation:

Given:

The word is "CALCULATOR."​

To find:

The number of distinct permutations.

Solution:

In the word "CALCULATOR",

The number of letters = 10

In which, we have 2 C, A, L and 1 U, T, O, R.

We know that,

[tex]^nC_r=\dfrac{n!}{(n-r)!}[/tex]

[tex]^nC_n=\dfrac{n!}{(n-n)!}=n![/tex]

To find the number of distinct permutations of the given word need to divide permutation of all letter by the permutations of repeated letters.

[tex]\text{Total ways}=\dfrac{^{10}C_{10}}{^2C_2\ ^2C_2\ ^2C_2\ ^1C_1\ ^1C_1\ ^1C_1\ ^1C_1}[/tex]

[tex]\text{Total ways}=\dfrac{10!}{2!2!2!1!1!1!1!}[/tex]

[tex]\text{Total ways}=\dfrac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{2\times 2\times 2\times 1\times 1\times 1\times 1}[/tex]

[tex]\text{Total ways}=453600[/tex]

Therefore, the number of distinct permutations of the word "CALCULATOR" is 453600.

Number of distinct permutation of the word "CALCULATOR." is 453600

How to solve this problem?

Total number of words in "CALCULATOR" is 10

we find out the words that are repeating

A is repeating twice (2)

C is repeating twice (2)

L is repeating twice (2)

Number of permutations = number of letters !/ repeating letters!

Number of distinct permutation =

[tex]\frac{10!}{2!2!2!} \\\frac{10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{2\cdot2\cdot2} \\453600[/tex]

Number of distinct permutation of the word "CALCULATOR." is 453600

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Answer:

I think it might be around 93

Step-by-step explanation:

Answer:

180 strips

Step-by-step explanation:

Note that:

1 yard = 36 inches

5 yards = x

Cross Multiply

x = 5 × 36 inches

x = 180 inches

Hence:

1 piece of fabric = 180 inches

How many 1-inch strips can be cut from the fabric?

180 inches = 1 piece of fabric

1 inch = x

x = 180 strips

Answer:

7/1

Step-by-step explanation:

7 over 1 equals 7 which is the answer.

Answer:

-0.76

Step-by-step explanation:

Answer:

-0.76

Step-by-step explanation:

this is pretty simple subtraction but you just take 14.36 and subtract it by 15.12 and you know it will be a negative number because 15.12 is bigger than 14.36 and so your answer is -0.76

Answer:

The answer to this problem is 6.

Step-by-step explanation:

The line 2x +3y = 1 is tangent to 4x^2 -9y^2 = 19

:

Solve the linear equation for y

:

1) y = -2x/3 +1/3

:

substitute for y in the equation of the hyperbole

:

4x^2 -9(-2x/3 +1/3)^2 = 19

:

4x^2 -9(4x^2/9 -4x/9 +1/9) = 19

:

4x^2 -4x^2 +4x -1 = 19

:

4x -20 = 0

:

4x = 20

:

x = 5

:

use equation 1 to get the value of y

:

y = -2(5)/3 +1/3 = -3

:

******************************************************************

solution is x = 5, y = -3 which is the point (5, -3)

:

check the solution

:

hyperbole

:

4(5^2) -9(-3)^2 = 19

:

100 -81 = 19

:

19 = 19

:

Line

:

2(5) +3(-3) = 1

:

10 -9 = 1

:

1 = 1

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Answer:

I know for sure, x=110 and the interior of a triangle is 180 degrees added up, so it is definately less than 180 degrees for the 2 angles added up, I am not sure what y is I haven't done geometry for almost 2 years now sorry.

Answer:

Step-by-step explanation:

Here is your workings

(3x)^3  Apply the rule of exponents

Step 2

(3x)^3=3^3x^3  Simplify

Step 3

3^2=27  Solve

27x^3

Answer:

B

Step-by-step explanation:

= 8 * 76 =

10% * $1,913 = 191.3

Total = $608 + $191.3

= $799.3 approximately $799

Answer:

x = 150

Step-by-step explanation:

x + x - 15 + 107 + x + 7 + 125 + 122 + 131 = 630

3x + 180 = 630

3x = 450

x = 150

The value of x is 150

A polygon is a closed figure made up of three or more line segments connected end to end.

We are given that seven sided polygon with angle measures x, x minus 15, 107, x plus 7, 125, 122, and 131 degree

Therefore, the sum of all the angles are;

x + x - 15 + 107 + x + 7 + 125 + 122 + 131 = 630

3x + 180 = 630

3x = 450

x = 150

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Answer: Is A

Step-by-step explanation:

I don't know if I am completely correct

Answer:

5.2 cubic ft

Step-by-step explanation:

took the test

The volume of given cone is 5.23 cubic feet.

Volume is the measure of the capacity that an object holds.

[tex]v = \frac{1}{3} \pi r^{2} h[/tex]

where,

v is the volume of cone

r is the radius of cone

h is the height of cone

According to the question we have

Diameter of cone is 2ft

⇒ radius of the cone = [tex]\frac{2}{2} = 1 feet[/tex]

Height of the cone is 5ft.

Therefore,

The volume of the cone  = [tex]\frac{1}{3}(1)\pi( 1)^{2} (5)[/tex]

Volume of cone = [tex]\frac{1}{3} (3.14)(1)(5) = 5.23 cubic feet[/tex]

Hence, hence the volume of given cone is 5.23 cubic feet.

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y=e^x+3.

The given graph of the function y = e^x

he transformation occur when we add c to the parent function y = e^x giving us a vertical shift c unit in the same direction as the sign.

The y axis of a coordinate plane is the vertical axis. When a function shifts vertically, the value of y changes.

The given parent function: y = e^x,

we can now graph the vertical shift alongside i.e, c=3

Then, the upward shift function is, y = e^x + c

Substitute the value of c=3,

then, the transformed equation becomes, y = e^x + 3

as it goes through (0,4).

∴The equation y = e^x + 3 represents the transformed function.

Answer:

y=e^x+3.

Step-by-step explanation:

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

Answer:

110 grams

Step-by-step explanation:

CO2 molecule is made up of Carbon (atomic mass =12) and oxygen (atomic mass=16).

So first finding the mass of 1 molecule of CO2 which is equals to

= mass of 1 carbon atom + masses of 2 oxygen atom, we get

= 12+(16*2)= 12+32= 44 a.m.u.

Now 1 molecule of CO2 has mass 44 amu so mass of 1 mole CO2 will be 44 grams.( 1 a.m.u.=1.6729*10^-33 grams. 1 mole = 6.022*10^23, so 44 a.m.u.=73.6076*10^-33 grams approx. For one mole CO2, 73.6076*10^-33*6.022*10^23 which is approximately equals to 44 grams. )

1 mole CO2= 44grams, so 2.5 moles = 44*2.5= 110 grams

So our answer is 110 grams.

lowkey hope this helped you, good luck whatever you need it for Imaooo

Answer:

s=-4

Step-by-step explanation:

Answer: Area=113.1 ft²

Step-by-step explanation:

Area equation= πr2

1/4*π*d^2

1/4*π*12^2≈113.09734ft²

113.1 ft²

Answer:

Its non-linear and decreasing

Step-by-step explanation:

Answer:

( -∞,2)

Step-by-step explanation:

The function is decreasing from the left up until the vertex

Answer:

3.10?

Step-by-step explanation:

i dont know sorry if its wrong

Answer:

it means there are five books left, and the 36 boxes are filled

Answer:

42.42641

Step-by-step explanation: