How many 5-letter words that have the letter 'x' are possible? letters may be repeated, and the words don't have to be meaningful. (hint: first count the words without 'x' ?

QUESTION POSTED AT 26/03/2020 - 02:29 PM

Answered by admin AT 26/03/2020 - 02:29 PM

Let's consider all of the possible arrangements for words that DO NOT have the x-letter in it.

Start by drawing a line for the five available slots:

_ _ _ _ _

These will represent the different arrangements of letters.
Since letters may be repeated, these are independent events, meaning the previous does not affect the concurrent term.

Thus, we can have 25 of the 26 different letters, since we're not counting the x.
The second slot can have 25, as well as the third, fourth, and fifth.

We can simplify this to become:
\text{Arrangements(no x): } 25^{5}

Now, let's consider all of the ways in which a five letter word can be made. Using the same logic, we get:
[tex\text{Arrangements: } 26^{5}[/tex]

Thus, the total number of ways in which we can arrange a 5-letter word with at least one X in it is:
\text{Total arrangements: } 26^{5} - 25^{5}

The calculator should do the rest.

Post your answer

Related questions

For the function f(x) = –5x, which ordered pair will be a point on the graph of the function? A. (–5, 1) B. (2, 10) C. (15, –3) D. (0, 0)

It's D: (0,0)
This is because when you put 0 in for x your y value will equal 0 and that is one of your answers, so it's the point (0,0) 

ANSWERED AT 28/03/2020 - 07:19 PM


QUESTION POSTED AT 28/03/2020 - 07:19 PM

What is the effect on the graph of the function f(x) = 2x when f(x) is changed to f(3x)? A) vertical stretching B) vertical compression C) horizontal compression D) horizontal stretching

Answer:

C)  Horizontal compression

Step-by-step explanation:

Since, if y = f(x) is a function,

Then y = a f(x) gives a vertical stretch if a > 1 and gives a vertical compression if 0 < a < 1.

Also, y = f(bx) gives a horizontal stretch when 0 < b < 1 and gives a horizontal compression if b > 1.

Here,

The given parent function is,

f(x) = 2x

And, 3 > 1

Thus, by the above statements,

f(3x) will give a horizontal compression.

Hence, Option C is correct.

ANSWERED AT 28/03/2020 - 12:51 PM


QUESTION POSTED AT 28/03/2020 - 12:51 PM

How do you graph the quadratic function 8(x-6)^2

8 translation: narrow or compress graph by a scale factor of 8
-6 translation: shift graph 6 points right

ANSWERED AT 28/03/2020 - 12:49 PM


QUESTION POSTED AT 28/03/2020 - 12:49 PM

Figure out the number of solution 6x^2=-2x-2 A 2 real unequal solutions B 2 complex imaginary solutions C one real solution

 Choice B is the answer

ANSWERED AT 28/03/2020 - 12:46 PM


QUESTION POSTED AT 28/03/2020 - 12:46 PM

Which statement is true for log3(x+1)=2

Answer:

x = 8 is the correct statement.

Step-by-step explanation:

The given statement is log_{3}(x+1)=2

Now from the rules of the logarithm

log_{3}(x+1)=2

3^{2}=(x+1)  [Since log_{a}b=c\Rightarrow b=a^{c}]

Therefore 3^{2}=(x+1)

x + 1 = 9

x = 9 - 1 = 8

Therefore answer will be x = 8.

ANSWERED AT 28/03/2020 - 12:44 PM


QUESTION POSTED AT 28/03/2020 - 12:44 PM

What is 6(x+4)? Show work

You would multiply 6 by both, the x and the 4 to get your answer.
6(x+4)
6*x+6*4=
6x+24

ANSWERED AT 28/03/2020 - 12:43 PM


QUESTION POSTED AT 28/03/2020 - 12:43 PM

(08.01)Consider the following system of equations: y = 5x + 6 y = −x − 7 Which description best describes the solution to the system of equations?

If you want an answer to question: You can make the equations equal to each other and solve for x. So, since the y values are the same, we can do 
(+x)5x+6 = -x-7. (+x)
(-6)6x+6= -7(-6)
  (1/6) x 6x= -13 x (1/6)
x= -13/6
Substitute −13/6 for x in y=5x+6:
y=5x(−13/6) + 6
y = -29/ 6.
y= -29/6  and x= -13/6
 

ANSWERED AT 28/03/2020 - 12:37 PM


QUESTION POSTED AT 28/03/2020 - 12:37 PM

HELP ASAP PLEASE BRAINLEST ANSWER !!! In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -x2 +7. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Answer:

The function started facing up with a vertex at (0,0) since 7 was added before squaring , the graph shifts 7 units up so the vertex at (7,0) also , the function is negative do the graph is pointing down.


This means that there are two x- intercepts in g(x) and there was one x- intercepts in f(x).

ANSWERED AT 28/03/2020 - 12:34 PM


QUESTION POSTED AT 28/03/2020 - 12:34 PM

Quadrilateral ABCD is a parallelogram with AB = 3y – 6, BC = 5x – 8, CD = 2y + 4, and AD = 4x –1. Find x. A. 7 B. 14 C. 27 D. 28

Choice A. Work done below:
4x-1=5x-8 ( Set the opposite sides equal to each other).
4x-5x-1=-8 (Subtract 5x on both sides)
-x-1=-8 (Combine like terms)
-x=-8+1( Add 1 on both sides)
-x=-7 (Now since you have a negative sign on both sides you can cancel them)
x=7 ( Making that as your answer!!)

ANSWERED AT 28/03/2020 - 12:33 PM


QUESTION POSTED AT 28/03/2020 - 12:33 PM

The quotient of x and 3 is less than or equal to 5

x/3 \leq 5

ANSWERED AT 28/03/2020 - 12:32 PM


QUESTION POSTED AT 28/03/2020 - 12:32 PM

In how many ways can you rearrange the letters in the word REACH?

25 is correct.

Square how many letters there are. In this case 5.

So 5squared or 5 x 5.

ANSWERED AT 28/03/2020 - 12:32 PM


QUESTION POSTED AT 28/03/2020 - 12:32 PM

The first three terms of a geometric sequence are shown below. What is the eighth term of the sequence? A. -128x^8-384x^7 B. 128x^8+384x^7 C. 256x^9+768x^8 D. -256x^9-768x^8

Answer:

Option A is correct.

Step-by-step explanation:

Given:

First term, a = x + 3

second term = -2x² - 6x

Third term = 4x³ + 12x²

Common ratio, r = \frac{-2x^2-6x}{x+3}=\frac{-2x(x+3)}{x+3}=-2x

nth term of GP is gievn by, a_n=ar^{n-1}

So, Eight term = a_8=(x+3)(-2x)^{8-1}=(x+3)(-2x)^{7}=-128x^8-384x^7

Therefore, Option A is correct.

ANSWERED AT 28/03/2020 - 12:31 PM


QUESTION POSTED AT 28/03/2020 - 12:31 PM

HELP ASAP Given s(x) = 3x - 6 and t(x) = 6 - 3x. find the simplified formula and domain for v(x)=(s/t) and w(x)=(t/s)(x)

v(x)=(s/t)
= (3x - 6) / (-3x+6)
= [3(x-2)] / [-3(x-2)] --> 3 is factored out
= 1/-1 
---> common terms are cancelled out. 
= -1 ---> This is the simplified formula.

To find the domain, we equate the denominator to 0.
-3x+6 = 0
3x = 6
x = 2
Domain: all values except 2.

w(x)=(t/s)(x)
= (-3x+6)x / (3x-6)
= [-3x(x-2)] / [3(x-2)] --> 3 is factored out
= -x --> The common terms are cancelled out. This is the simplified formula.

Solving for domain:
3x-6 = 0
3x = 6
x = 2
Domain: all values except 2.

ANSWERED AT 28/03/2020 - 12:27 PM


QUESTION POSTED AT 28/03/2020 - 12:27 PM

.36 (6 repeating) as a fraction in simplest form?

Yeah Im pretty sure it is

ANSWERED AT 28/03/2020 - 12:21 PM


QUESTION POSTED AT 28/03/2020 - 12:21 PM

1) 2x+8y=20 y=2 2x+8(2)=20 2) x=5 2x+y=10 2(5)+y=10 3) 5x-2y=3 y=2x 5x-2(2x)=3 4) 2y+x=-15 x=3y 2y+(3x)=-15 5) 4x+7y=19 y=x+9 4x+7(x+9)=19 6)y=6x+11 2y-4x+14 2(6x+11)-4x+14 7)2x-8y=6 y=-7-x 2x-8(-7-x)=6 8) x=2y-1 3x-2y=-3 3(2y-1)-2y=-3 what is the process and what x and y equal

If they give you what one variable is, you can plug it into the equation and use algebra to solve it. So:

1)2x=4 -> 4/2 = 2 so x=2

2) y=0

3) x=3

4) 2y + (3*3y) = -15
11y=-15 
y = -15/11

5) 4x + 7x + 63 = 19
11x = -44
x = -4

ANSWERED AT 28/03/2020 - 12:21 PM


QUESTION POSTED AT 28/03/2020 - 12:21 PM

What is 3x+5x+2 factorised for yr 10 gcse


Factorising quadratic expressions

Multiply these brackets to remind yourself how to factorise.

( x + 2 ) ( x + 5 ) = x2 + 7x + 10( x + 2 ) ( x + 3 ) = x2 + 5x + 6( x - 3 ) ( x - 5 ) = x 2 - 8x + 15( x + 6 ) ( x - 5 ) = x2 + x - 30( x - 6 ) ( x + 5 ) = x2 - x - 30

ANSWERED AT 28/03/2020 - 12:20 PM


QUESTION POSTED AT 28/03/2020 - 12:20 PM

Maria will spin the arrow on the spinner 2 times. What is the probability that the arrow will stop on the same letter twice? A. 1/9 B. 2/9 C. 1/3 D. 5/9

Answer:

probability that the arrow will stop on the same letter twice = \frac{1}{3} (c).

Step-by-step explanation:

Given : Maria will spin the arrow on the spinner 2 times.

To find : What is the probability that the arrow will stop on the same letter twice.

Solution : We have given a spinner that spin twice and stop on the same letter.

Formula for probability = \frac{number \ of \ favorable\ outcome}{Total \number\ of \possible \outcome}.

Here, total part of spinner = 3 and it spin two times

So, total possible outcome = 6.  Arrow ston on same letter twice( favorable outcome) =2.

Plugging the values in formula :

Probability =  \frac{2}{6}.

Probability =  \frac{1}{3}.

Therefore,  probability that the arrow will stop on the same letter twice = \frac{1}{3} (c).

ANSWERED AT 28/03/2020 - 12:20 PM


QUESTION POSTED AT 28/03/2020 - 12:20 PM

What is 78020008 in word form

Seventy-eight-million, twenty-thousand, eight.

ANSWERED AT 28/03/2020 - 12:19 PM


QUESTION POSTED AT 28/03/2020 - 12:19 PM

Please solve -3=log3 x thank you!

−3=(log(3))(x)Simplifies to: −3=0.477121x
Let's solve your equation step-by-step.
Step 1: Flip the equation.0.477121x=−3
Step 2: Divide both sides by 0.477121.0.477121x0.477121=−30.477121x=−6.287713
Answer:x=−6.287713

ANSWERED AT 28/03/2020 - 12:19 PM


QUESTION POSTED AT 28/03/2020 - 12:19 PM

Describe each of the following properties of the graph of the cosine function, f(theta) = cos(theta), and relate the property to the unit circle definition of cosine. Amplitude Period Domain Range x-intercepts I know the definitions and descriptions, I just need to know how it relates to the unit circle

Amplitude: the height of the graph from the peak to the axis. On the unit circle it would be the radius (max and min values) at 0, pi/2, 2pi
Period: the length of one full cycle of the cos graph. On the unit circle it is the circumference. The distance around a circle with radius = 1.
Domain: the x value or the values on the horizontal axis. On the unit circle these would be the radian measures around the unit circle such as pi/6, pi/4,
pi/3, pi/2.
Range: the y value or the values on the vertical axis. On the unit circle it would be the cosine value for each radian measure. Such as cos pi/4 = (sqrt2)/2, cos pi/3= 1/2.
X-intercepts: the points where the graph crosses the horizontal axis. On the unit circle these are the cosine values when theta is at the vertical points of the unit circle, pi/2 and 3pi/2.

ANSWERED AT 28/03/2020 - 12:19 PM


QUESTION POSTED AT 28/03/2020 - 12:19 PM

Which statement is true for log3(x+1)=2 x+1=3^2 x+1=2^3 2(x+1)=3 3(x+1)=2

Therefore, x/(x-2) = 3. so, x = 3

ANSWERED AT 28/03/2020 - 12:16 PM


QUESTION POSTED AT 28/03/2020 - 12:16 PM

What is 5.756565x 344

5.756565 x 344 = 1980.25836 hope this helps.

ANSWERED AT 28/03/2020 - 12:15 PM


QUESTION POSTED AT 28/03/2020 - 12:15 PM

Skylar is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by (y+5)^2=12(x+2), where x and y are measured in inches. What is the focus of the flashlight?

Answer: The focus of the flashlight= (1,-5)


Step-by-step explanation:

Given: Skylar is designing a flashlight that uses a parabolic reflecting mirror and a light source.

The shape of the mirror can be modeled by

(y+5)^2=12(x+2)

We know that the standard form for the equation of parabola is (y-k)^2=4p(x-h), where focus = (h+p,k)

Rewrite the given equation in the standard form , we get

(y-(-5))^2=4(3)(x-(-2))

Therefore, focus of the flashlight=(-2+3,-5)=(1,-5)

ANSWERED AT 28/03/2020 - 12:12 PM


QUESTION POSTED AT 28/03/2020 - 12:12 PM

5x divided by 6=9 what is x

X Is Nine!
-TheQuestClub

ANSWERED AT 28/03/2020 - 12:11 PM


QUESTION POSTED AT 28/03/2020 - 12:11 PM