What is the total number of different 10-letter arrangements that can be formed using the letters in the word FORGETTING?

Answers

Answer 1

Using the arrangements formula, it is found that 907,200 arrangements can be formed using the letters in the word FORGETTING.

What is the arrangements formula?

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

When there are repeating elements, with the number of times given by [tex]n_1, n_2, \cdots, n_n[/tex], the number of arrangements is given by:

[tex]A_n^{n_1, n_2, \cdots, n_n} = \frac{n!}{n_1!n_2! \cdots n_n!}[/tex]

In this problem, the word FORGETTING has 10 letters, of which G and T repeat twice, hence the number of arrangements is given by:

[tex]A_{10}^{2,2} = \frac{10!}{2!2!} = 907,200[/tex]

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Related Questions

Simplify the expression. Write your answer as a power.
((-3)²)⁴
The simplified expression is

Answers

Answer:

this is your answer

[tex] {9}^{4} [/tex]

Answer:

[tex]\large{\sf \boxed{(\sf -3)^8}}[/tex]

Explanation:

[tex]\rightarrow \sf ((-3)^2)^4[/tex]

apply exponent rule: [tex]\sf \bf \left(a^b\right)^c=a^{bc}[/tex]

[tex]\rightarrow \sf (-3)^8[/tex]

g more than the quotient of b
and f

Answers

The expression: g > b/f

2y=-x+9


3x - 6y=-15
pls helpppp

Answers

Answer:

Step-by-step explanation:

The given equations are:

1) 2y = -x + 9

⇒ x = 9-2y

2) 3x - 6y = -15

⇒3x = 6y - 15

x = 2y - 5

Equating the values of x, we get:

9 - 2y = 2y - 5

9 + 5 = 4y

14 = 4y

y = 3.5

Using this value of y in equation 1 we get:

x = 9 - 2(3.5) = 2

So, the solution set is (2, 3.5)

Carlita has a swimming pool in her backyard that is rectangular with a length of 24 feet and a width of 14 feet. She wants to install a concrete walkway of width c around the pool. Surrounding the walkway, she wants to have a wood deck that extends w feet on all sides. Find an expression for the perimeter of the wood deck.

Answers

The required, expression for the perimeter of the wood deck is 4w + 76 + 8c.

The length of the rectangular region will be the original length of the pool plus twice the width of the walkway since the walkway will extend out from both sides of the pool:

Length of rectangular region = 24 + 2c

Similarly, the width of the rectangular region will be the original width of the pool plus twice the width of the walkway:

Width of rectangular region = 14 + 2c

Now, to find the perimeter of the wood deck, we need to add up the lengths of all four sides of the rectangular region. Each side will have a length of w, since the wood deck extends w feet on all sides:

Perimeter of wood deck = 2(w + Length of rectangular region) + 2(w + Width of rectangular region)

Substituting the expressions we found for the length and width of the rectangular region, we get:

Perimeter of wood deck = 2(w + 24 + 2c) + 2(w + 14 + 2c)

= 4w + 76 + 8c

Therefore, the expression for the perimeter of the wood deck is 4w + 76 + 8c.

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necesito esto resuelto porfa! en 20 minutos

Answers

debe ser los 462 no se si es sierto

Which method correctly solves the equation using the multiplication property of equality and the reciprocal of one-third? one-third (x 9) = negative 12 one-third (x 9 = negative 12. one-third x 3 = negative 4. one-third x = negative 7. x = negative 27. one-third (x 9) = negative 12. x 9 = negative 4. x = negative 13. one-third (x 9) = negative 12. x 3 = negative 12. x = negative 15. one-third (x 9) = negative 12. x 9 = negative 36. x = negative 45.

Answers

The solution to the equation one-third (x + 9) = negative 12 is  x = -45

How to solve the equation?

The equation is given as:

one-third (x + 9) = negative 12

Rewrite properly as:

1/3 (x + 9) = -12

Multiply both sides by 3

x + 9 = -36

Subtract 9 from both sides

x = -45

Hence, the solution to the equation one-third (x + 9) = negative 12 is  x = -45

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Find the solution
a2-b2=9
a.b=3
a+b=?

Answers

Answer:

a

2

=9a+b

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a²+b²)²=(a²-b²)²+4a²b²=(a²-b²)²+4(ab)²=9²+4×3²=9²(1+4)

a²+b²=3√5

(a+b)²=a²+b²=2ab=3√5+2(3)=3(2+√5)

a+b=√3√(2+√5)

Find the equation of the lien shown.

Answers

Answer:

y = [tex]\frac{1}{2}[/tex] x

Step-by-step explanation:

the equation of a line passing through the origin is

y = mx ( m is the slope )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 3) ← 2 points on the line

m = [tex]\frac{3-0}{6-0}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

y = [tex]\frac{1}{2}[/tex] x ← equation of line

There is a pair of parallel sides in the following shape 6,4,8 what is the area of the shape?

Answers

The answer to the question is 192

(2x+1)(x^2+8x-3)
help standard form​

Answers

Answer:

[tex]2x^3+17x^2+2x-3[/tex]

Step-by-step explanation:

[tex]\left(2x+1\right)\left(x^2+8x-3\right)\\=2xx^2+2x\cdot \:8x+2x\left(-3\right)+1\cdot \:x^2+1\cdot \:8x+1\cdot \left(-3\right)\\=2x^3+17x^2+2x-3[/tex]

In this equation, the variables were isolated to simplify the problem, following the order of operations. Negative-three either became an exponent or positive integer, 3, subtracted by a byproduct of the previous equation.

answer asap, thanks:)

Answers

Answer: Answer is In the step-by-step EXPLANATION.

Step-by-step explanation: Let's Begin,

Amanda and Ndiba are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of daffodil bulbs. Amanda sold 6 packages of tulip bulbs and 12 bags of daffodil bulbs for a total of $198.

6t + 12d = 198

Ndiba sold 7 packages of tulip bulbs and 6 bags of daffodil bulbs for a total of $127.

7t + 6d = 127

So when you find, the cost of each package of tulips bulbs and one bag of daffodil bulbs.  

Use elimination here, multiply the 2nd equation by 2, subtract the 1st equation

14t + 12d = 254

Then, 6t + 12d = 198 -subtraction eliminates d, find t

8t + 0 = 56

t = 56/8

t = $7 for tulips

Find d using the 1st equation, t=7

6(7) + 12d = 198

42 + 12 d = 198

12d = 198 - 42

d = 156/12

d = $13 for daffodils

And I think that's it.

6^2-4(3-√25)^2/|4-8|
the answer is 5 but im not sure on the steps and how to get 5, please help tysm :)

Answers

I'm going to assume you start with

[tex]\dfrac{6^2 - 4 (3 - \sqrt{25})^2}{|4 - 8|}[/tex]

Let's simplify some pieces of this:

[tex]6^2 = 6\times6 = 36[/tex]

[tex]\sqrt{25} = \sqrt{5^2} = 5[/tex]

[tex](3 - \sqrt{25})^2 = (3 - 5)^2 = (-2)^2 = (-2)\times(-2) = 4[/tex]

[tex]|4 - 8| = |-4| = 4[/tex]

So as a first step we can reduce this to

[tex]\dfrac{6^2 - 4 (3 - \sqrt{25})^2}{|4 - 8|} = \dfrac{36-4\times4}4[/tex]

Now,

[tex]36 = 9\times4[/tex]

so every term contains a factor of 4 that we can cancel:

[tex]\dfrac{36-4\times4}4 = \dfrac{9\times4-4\times4}4 = \dfrac{9-4}1 = 9-4 = \boxed{5}[/tex]

as expected.

Given that (a+b√3)(2-√3)= 5√3-4, find the values of a and b

Answers

Answer:

a=π-3/5,B =π-2/5

Step-by-step explanation:

product of roots

sum of roots

If UW = 9x – 9, what is UW in units?

Answers

Answer

36 units

Step-by-step explanation:

UW = UV + VW

9x-9 = 2x - 4 + 4x + 10

9x - 9 = 6x + 6

3x = 15

x = 5

UW = 9(5) - 9 = 45 - 9 = 36

answer is  36 units

these box plots show daily low temeratures for a samle of days in two different towns
which statement is the most appropriate comparsion of the centers

Answers

The correct statement about the center of both box plots is the median for Town A, 30° is greater median for Town B, 25°

What is the correct statement?

A box plot is used to study the distribution of a dataset. The box plot consists of two lines and a box. The two lines are known as whiskers. The whiskers represent the minimum and maximum numbers.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.

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In a mathematic test 30 students obtained the following scores
3,4,7,2,9,5,2,1,8,2,3,6,9,3,4,3,4,1,5,3,3,1,7,7,7,5,6,4,6,5
a) Prepare a frequency table for the data
b) Draw a pictogram
c) Construct a barchart

Answers

Answer:

a) Prepare a frequency table for the data

Step-by-step explanation:

A plant can manufacture 50 golf clubs per day at a total daily cost of $4671 and 70 golf clubs per day for a total cost of $5871.
(A) Assuming that daily cost and production are linearly related, find the total daily cost, C, of producing x golf clubs.
(B) Graph the total daily cost for 0≤x≤ 200.
(C) Interpret the slope and y intercept of the cost equation.
(A) C =
(Simplify your answer. Use integers or fractions for any numbers in the oxpropion

Answers

The function C(g) that represents the total daily cost, C, of producing x golf clubs is C = 1671 + 60g

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A plant can manufacture 50 golf clubs per day at a total daily cost of $4671 and 70 golf clubs per day for a total cost of $5871.

Let's suppose x is the fixed cost and y is the variable cost.

4671 = 50y + x …(1)

5871 = 70y + x …(2)

1200 = 20y

y = 60

x = 1671

Total cost:

C(g) = 1671 + 60g

g is the number of golf per day.

Slope = 60

y- Intercept = 1671 (from the graph)

Thus, the function C(g) that represents the total daily cost, C, of producing x golf clubs is C = 1671 + 60g

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The figure, polygon ABCD is dilated by a factor of 2 to produce A B C D with the origin as the center of dilation

Answers

In the polygon ABCD, the production of point A' and point D' is (-2,-2)  and (4,-2) respectively.

What is the transformation rule?

In coordinate planes, the rule of transformation involves interchanging the x and y values on the plane such that:

[tex]\mathbf{(x,y) \to (k_x, k_y)}[/tex]

where;

k = scale factor

From the given information:

The scale factor = 2the origin as a center of dilation for image vertices = (0, 0)

Now, using the coordinate vertices:

A = (-1, -1)D = (2, -1)

The corresponding coordinate of the image vertices is as follows:

A(-1,-1) → A'(2 × (-1), 2 × (-1))

A' = (-2,-2)

D(2,-1) → A'(2 × (2), 2 × (-1))

D' = (4,-2)

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I kinda need help with this

Answers

Applying the leg rule, the value of x in the given right triangle is: A. 6.

What is the Leg Rule?

The leg rule for solving a right triangle having an altitude is expressed as:

hypotenuse/leg = leg/part.

In the image given we have the following:

Hypotenuse = 4 + 5 = 9 units

Leg = x

Part = 4

Plug in the values into the leg rule formula:

9/x = x/4

(x)(x) = (9)(4)

x² = 36

x = √36

x = 6 units.

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AABC is reflected across the x-axis and then dilated by a factor of 2 using the
point (-2, 1) as the center of dilation. What is the transformation of A(3, 1)?
6-
C(2,4)
4
B (5, 3)
2+
A (3.1)
4
-2-
OA. A(-6, 2)
B. A (6, -2)
C. A (8,-3)
D. A(3,-1)
-4
-2
N+
746
+00
8
10

Answers

The transformation of A is A' = (8, -3)

How to determine the transformation?

From the graph, we have:

A = (3,1)

The scale factor and the center of dilation are given as:

k = 2

(a,b) = (-2,1)

The rule of reflection across the axis is:

(x,y) ⇒ (x,-y)

So, we have:

A' = (3,-1)

The rule of dilation is represented as:

(x,y) ⇒ (k(x - a) + a, k(y - b) + b)

So, we have:

A' = (2(3 + 2) - 2, 2(-1 - 1) + 1)

Evaluate

A' = (8, -3)

Hence, the transformation of A is A' = (8, -3)

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Help which one is right?

Answers

Hope this helps! If it does please rate it the brainliest answer!

Answer:

I think it is c

Step-by-step explanation:

I graphed it

simplify the expression

4x(x + 1) (3x − 8) (x + 4)

Answers

Answer:

4×(x+1)(3x-8)(x+4)= (4x²+4)(3x-8)(x+4)= (12x³-32x²+12x²-32)(x+4)= (12x³-20x²-32)(x+4)= 12x⁴+48x³-20x³-80x²-32x²-128x= 12x⁴+28x³-112x²-128x

which expression gives the length of arc ab of the circumference of the circle is 40 cm​

Answers

Answer:

110 / 360  * 40 pi

Step-by-step explanation:

Give circumference = 40 pi     (NOT 40 cm as posted)

AB covers a fraction of 360 complete circle   110/360 ths

  110/360   *  40 pi      units

The femur is the upper leg bone, and the tibia is one of the lower leg bones. the average length of the fumer is 50.5 cm,and the average length of the tibia is 43.03 cm. estimate the total length of the leg if the bones were placed end to end

Answers

50.5 cm + 43.03 cm = 93.53

A graph shows the number of texts, numbered 10 to 100, on the x-axis, and the total cost in dollars, numbered 3 to 27, on the y-axis. A straight red line with a positive slope, labeled Emilia, begins at (0, 10), and a straight blue line with a positive slope, labeled Hiroto, begins at (0, 20). Both lines intersect at point (50, 22.5).
Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?

Answers

(50, 22.5) is the solution of the system of equations, therefore, the true statement would be: Both plans cost the same when 50 texts are sent.

What is the Solution of a System of Linear Equations?

A solution to the system of linear equations is the point of intersection where both line of each equation meet.

The solution to the system of linear equations given in the graph attached below is (50, 22.5).

(50, 22.5) implies that both plans will cost the total amount when 50 text are sent.

The true statement using the graph would be: Both plans cost the same when 50 texts are sent.

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Answer:

Both plans cost the same when 22 texts are sent

Step-by-step explanation:

on edge

Two independent random samples of size n1 = 50 and n2 = 75 are drawn from two very large populations: population 1 and population 2. both populations are right skewed. is the use of t procedures still valid?

Answers

Answer:

No

Step-by-step explanation:

You should only use t procedures when the sample sizes are less than 30, as that is when the Central Limit Theorem kicks in.

Essentially, t procedures are good for small samples while z procedures are better for larger samples.

what is the mean of each question?

Answers

Formula for finding mean:

Mean = (a1 + a2 + ... + an) / n

Mean is another word for  average; average number of a data set.

Problems with steps:

---------------------------------------------------------------------------------------

1) 9, 3, 6

Average =  Sum/Count

Sum =   18/6

Count = 3

2) 14, 12, 17, 9

52/4

Mean = 13

3) 15,8,10,5,7

= 45/5

Mean = 9

4) 18,19,11

= 48/3

Mean = 16

5) 4,20,16,4

= 44/4

Mean = 11

6) 12,11,12,20,15

= 70/5

Mean= 14

7) 19,8,3

= 30/3

Mean = 10

8) 7,13,6,2

= 28/4

Mean = 7

9) 12,15,17,2,14

60/5

Mean = 12

10) 10,18,8

= 36/3

Mean = 12

11) 5,2 ,0,1

= 8/4

= 2

12) 3,9,5,16,7

= 40/5

Mean = 8

SOLVED !

Hope this helps!

- ROR

if A squared plus B squared = C squared, what would it be if you timesd it by 2 waht would u get? ​

Answers

I’m not sure that can be answered without a given value to begin with.

What is bigger 1.97x 1.97 × 0.11 inches or 1.89 x 5.42 x 5.2 inches

Answers

Answer:

1.89 x 5.42 x 5.2 inches

Step-by-step explanation:

Use your calculator or multiply it yourself, times all of them together.

1.89 x 5.42 x 5.2 is bigger than 1.97 x 1.97 x 0.11

[tex]-2\sqrt{15}(-8+10\sqrt{15}[/tex]

Answers

We simplify the expression -2√15(-8 + 10√15) = 150 + 16√15

To answer the question, we need to know what surds are

What are surds?

Surds are square roots of positive integers.

Since we have  -2√15(-8 + 10√15), we simplify the expression

So, -2√15(-8 + 10√15) = -2√15 × (-8) + 10√15 × √15 (expanding the bracket)

= -2× (-8) × √15 + 10 × √(15 × 15)

=  16 × √15 + 10 × √15²

=  16 × √15 + 10 × 15

=  16√15 + 150

=  150 + 16√15

So, we simplify the expression -2√15(-8 + 10√15) = 150 + 16√15

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