. How many four letter patterns can be formed using the letters A, B, and C if letters may be repeated?

Answers

Answer 1

Answer:

24 patterns

Step-by-step explanation:

Given that four lettered patterns are to be formed using the three alphabets. Since letters may be repeated, then;

4[tex]P_{3}[/tex] = [tex]\frac{4!}{(4 - 3)!}[/tex]

      = [tex]\frac{4 x 3 x 2!}{1!}[/tex]

     = 4 x 3 x 2

     = 24

4[tex]P_{3}[/tex] = 24

Therefore, 24 four letter patterns can be formed when the given letters are repeated.


Related Questions

2) Insert the smallest
digit to make the
number divisible by 8
.
1039_​

Answers

Answer:

it would be 10392

Step-by-step explanation:

10392÷8=1299

Answer:

10392

Step-by-step explanation:

10391 ÷ 8 = 1298.875

Not divisible by 8

10392 ÷ 8 = 1299

Divisible by 8

Find the mean absolute deviation (MAD) of the data set of 0.4, 0.2, 0.4, 0.6

Answers

Answer:

Assuming data is from population, 0.1

Step-by-step explanation:

what is the generalised from of 85​

Answers

Answer:

8 × 10 + 5 × 1. is the correct answer .STAY BRAINLY

help please please please please!!​

Answers

Work out the circumference of one of the circles and multiply that by 15 to work out the area of the curved part. Then add on the area of the top and bottom circles.

an ore is 1 1/2% pure silver. how much ore is needed to obtain 30 kilograms of silver?

Answers

Proportionately, the quantity of ore required to obtain 30 kilograms of silver is 2,000 kilograms.

What is proportion?

Proportion refers to two or more ratios equated to each other.

We can use decimals, fractions, or percentages to show the proportional value of one quantity or variable to another.

The quantity of ore that can produce 30 kilograms of silver, based on the given proportion, can be obtained by equating the ratio to the required silver quantity.

The percentage of ore that is pure silver = 1¹/₂% = (0.015)

The quantity of silver needed = 30 kilograms

The quantity of ore that can produce 30 kilograms of silver = 2,000 kilograms (30/0.015)

1¹/₂% = 30 kg

100% = 2,000 kg (30/1¹/₂%)

Thus, given the ratio or proportion of pure silver to ore, the quantity of ore needed to obtain 30 kilograms of silver is 2,000 kilograms.

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HELP ME !! AND EXPLAIN HOW YOU GOT IT.


PLEASE ANSWER !! ILL GIVE BRAINLIEST !!

50 POINTS !!

FAKE ANSWERS WILL GET REPORTED .

Answers

Answer:

B =90  A= 55 C=35

Step-by-step explanation:

B is a  right angle =90 degrees

The sum of all angle in a triangle is 180

so the other 2 angles sum 90

(5x+5) +(3x+5) = 90

8x+10 =90

8x= 80

x= 10

 A:     5x10 +5 = 55

  B 3x10 +5 = 35

90+ 55+35 =180

if i'm at $567,811 how much more do i need to get to 1,000,000

Answers

Answer:

$432,189

Step-by-step explanation:

$1,000,000 - $567,811 = $432,189

can someone help me solving for x?

Answers

Answer:

8, 45, 18, 8.75 pretty sure

Step-by-step explanation:

cross multiplying: when a/b=x/c you type in a*c/b to get x in calculator

Solve the system of equations -x-y=-2 and 5x + 7y= 28 by combining the
equations.

Answers

The value of x = -7 and y = 9 from the system of equations .

What is System of Equation ?

A finite collection of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

To create an equation in one variable using the elimination approach, you may either add or subtract the equations. To remove a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

The equations are :

-x - y = -2          (i)

and

5x + 7y = 28        (ii)

multipling eqation (i) with 5 and then adding both equations we get,

-5x - 5y +5x + 7y = -10 + 28

⇒ 2y = 18

⇒ y = 9

Again, -x -9 = -2

or, x = -7

The value of x = -7 and y = 9 from the system of equations

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Jasmine claims that the two triangles are congruent since the Side-Angle-Side (SAS) triangle congruence criterion ensures that a sequence of transformations will carry one triangle onto the other.
Which of the following statements best describes Jasmine’s claim?

1. The claim is correct since a translation carries one triangle onto the other.
2. The claim is correct since SAS is an acceptable triangle congruence criterion.
3. The claim is incorrect since SAS is not an acceptable triangle congruence criterion.
4. The claim is incorrect since the triangles do not meet the SAS triangle congruence criterion.

Image of triangles:

Answers

4. The claim is incorrect since the triangles do not meet the SAS triangle congruence criterion

The claim is not correct as both the triangles do not meet the SAS triangle congruence criterion.

What is SAS Conguency ?

If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.

As from the definition above we can understand that for the triangles to be congruent the sides and the angle included between them should be same.

In the given triangles

The two sides of both the triangle has same length but the angle 30 degree is not the angle included for both the traingles

Therfore we can say that the triangles are not congruent with SAS congruency.

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Fill in the blanks below in order to justify whether or not the mapping shown represents a function. Set A 5 0 7 Set B -2 9 -1 -3 The mapping diagram above a function since in where there .

Answers

The mapping does not represents a function

How to identify a function?

A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input

In this case, for the mapping represent a function, every element in set A must be mapped to exactly one element in set B.

Since there is more than one arrow from set A (5) pointing to different values in set B (-2 and 9), then it is not a function. Also, the two different value (5 and 7) in set A has the same value (-2) in set B.

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Lance Greene receives $2.20 per piece he
completes plus a 10% bonus for each piece he
completes over 180 pieces. Last week he
completed 210 pieces. Find his gross pay.

Answers

The gross price for the 210 pieces that Lance completed last week is $468.6.

What is percentage?

Percentage is a measurement to find value of given number out of hundred.

Given that,

Amount received by Lance Greene for one piece = $2.20.

Also, Lance gets 10% bonus per piece after 180 pieces.

Given that, last week Lance completed 210 pieces .

Price for 210 piece = 210 x 2.20  = 462

Also, bonus gets by Lance on 30 pieces = 30 x 2.2 x 10/100 = 6.6

Total price = 462 + 6.6 = 468.6

The required gross price is $468.6.

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X = ?°
please help :)​

Answers

Answer:

x=17 degrees

Step-by-step explanation:

We know that a right angle is equal to 90 degrees. Therefore, two angles between a right angle have to equal 90. Therefore, 73+x=90. Isolate x and get x=90-73. x=17. Therefore, x=17 degrees.

If this helps please mark as brainliest

X=17 degrees hope this helped you :)))

Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x - 4.
y = 3x + 7
y = 3x - 7
y= 1/3x+2
y=1/3x-2

Answers

Answer:

[tex]y=3x-7[/tex]

Step-by-step explanation:

Parallel Lines:

Parallel lines, by definition, never intersect. They have the same slope but different y-intercepts (otherwise they would be the same line) on a graph.

Slope-Intercept Form:

Slope-Intercept form is expressed as: [tex]y=mx+b[/tex], where

[tex]m = \text{slope}[/tex][tex]b = \text{y-intercept}[/tex]

This form is super useful for linear equations as it gives us the two key features of a linear equation. It's how each of the options are formatted, so we know we'll have to use this form.

Generally Finding a Parallel Line:

The line is parallel to [tex]y=3x-4[/tex], meaning it has a slope of 3, but also a y-intercept other than -4 (otherwise they would be the same equation).

So we can generally form an equation: [tex]y=3x+b\text{, }b\ne-4[/tex], so we can plug any value for "b" here (except -4) and have a parallel line

Finding a line passing through a point:

Since we not only want to find a parallel line, but also one that passes through a specific point, we can use our general parallel equation: [tex]y=3x+b\text{, }b\ne-4[/tex], and plug in known values. We of course already have the slope plugged in, but now we have a (x, y) coordinate, which we can plug in for x and y in the equation.

Original Equation:

[tex]y=3x+b[/tex]

Point given: (3, 2), substitute in x=3 and y=2:

[tex]2=3(3)+b[/tex]

Simplify:

[tex]2=9+b[/tex]

Subtract 9 from both sides:

[tex]-7=b[/tex]

Now we can take this value. and plug it back into the general equation:

[tex]y=3x+(-7)\implies y=3x-7[/tex]

Now we have our answer!

Find, rounded to the nearest hundredth, the diagonal of a rectangle whose sides are 6 and 11.

WHAT IS THE ANSWER. I NEED IT ASAP

Answers

Answer:

The length of the diagonal is 12.53

Step-by-step explanation:

Since we have a rectangle, the diagonal is the hypotenuse of a right triangle. So we can use Pythagorean Theorem.

a^2 + b^2 = c^2

We know the two legs are 6 and 11, so we can find the hypotenuse (which is the diagonal) see image.

See image.

Juan is selling tickets for a high school playChild tickets cost $3 and adult tickets cost $10. He selts 205 tickets and collects $1560

Answers

Answer:

135 Adult tickets and 70 Child tickets sold

Step-by-step explanation:

135*10 (adult ticket price) = 1,350

70*3 (child ticket price) = 210

$1,350 + $210 = $1,560

135 + 70 = 205 tickets sold

Ian is taking a true/false quiz that has four questions on it. The correct sequence of answers
is T, T, F, T. Ian has not studied and yet guesses all answers correctly- He decides he wants
to determine how likely this is to happen using a simulation. He decides to use a fair coin to
do the simulation.
Describe the design of a simulation that would allow Ian to determine how likely it would
be to guess all answers correctly on this quiz.

Answers

The design of a simulation that would allow Ian to determine how likely it would

be to guess all answers correctly on this quiz can be Illustrated through a coin.

How to design the simulation?

Ian can design a simulation to determine the likelihood of guessing all answers correctly on the quiz by using a fair coin. He can flip the coin four times, with each flip representing a guess on the quiz. If the coin lands heads up, he marks it as a true answer, and if it lands tails up, he marks it as a false answer.

He can repeat this process a large number of times (e.g. 1000) and count the number of times that the sequence T, T, F, T is generated. The proportion of times that this sequence is generated out of the total number of simulations will be an estimate of the probability of guessing all answers correctly on the quiz by chance.

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What is the total surface area of the square pyramid below?

A square pyramid. The square base has side lengths of 6 meters. The triangular sides have a height of 8 meters.

132 m2
144 m2
160 m2
228 m2

Answers

Answer:

Its 144

Step-by-step explanation:

I did it on a test

The surface area of the square pyramid is 132 m²

How to the surface area of a square pyramid?

For a square pyramid whose base has sides that measure b, and height h, is:

S = b*b + 4*(b*h)/2

In this case, we have:

b = 6mh = 8m

Replacing that in the surface area equation, we get:

S = (6m*6m) + 4*(6m*8m)/2 = 132 m²

So the correct option is the first one.

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Find the cost of 12 items if the cost function is C(x) = 2x +12

Answers

Answer:

$36

Step-by-step explanation:

we need to find the cost of 12 items, and the function of determining the cost is C(x)=2x+12, where x is the number of items (the input value of the function)

we know that there are 12 items, so in this function, x=12

substitute x as 12 in the function; the x in C(x) also gets substituted as 12, as 12 is the input value and the value of C(x) is the output

C(12)=2(12)+12

multiply

C(12)=24+12

add

C(12)=36

that means, for 12 items, the cost will be $36

what is the area of 12 1/2 feet long and 11 3/4 feet wide

Answers

now, we're assuming this is some rectangular area, and thus is simply the product of both quantities, let's change all mixed fractions to improper fractions firstly.

[tex]\stackrel{mixed}{12\frac{1}{2}}\implies \cfrac{12\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{25}{2}} ~\hfill \stackrel{mixed}{11\frac{3}{4}} \implies \cfrac{11\cdot 4+3}{4} \implies \stackrel{improper}{\cfrac{47}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{25}{2}\cdot \cfrac{47}{4}\implies \cfrac{1175}{8}\implies 146\frac{7}{8}~ft^2[/tex]

Find the distance between the points
(-5/2, 9/4) and(-1/2,-3/4)

Give the exact distance and an approximate distance rounded to at least 2 decimal places.
Make sure to fully simplify any radicals in first answer

Answers

Answer:

Step-by-step explanation:

distance = [tex]\sqrt{(-5/2+1/2)^{2} +(9/4+3/4)^{2} }=\sqrt{13}[/tex]=3.61

Evaluate the indefinite integral.
integar x4/1 + x^10 dx

Answers

Answer:

[tex]\int\ {\frac{x^4}{1 + x^{10}}} \, dx = \frac{1}{5}( \arctan(x^5)) + c[/tex]

Step-by-step explanation:

Given

[tex]\int\ {\frac{x^4}{1 + x^{10}}} \, dx[/tex]

Required

Integrate

We have:

[tex]\int\ {\frac{x^4}{1 + x^{10}}} \, dx[/tex]

Let

[tex]u = x^5[/tex]

Differentiate

[tex]\frac{du}{dx} = 5x^4[/tex]

Make dx the subject

[tex]dx = \frac{du}{5x^4}[/tex]

So, we have:

[tex]\int\ {\frac{x^4}{1 + x^{10}}} \, dx[/tex]

[tex]\int\ {\frac{x^4}{1 + x^{10}}} \, \frac{du}{5x^4}[/tex]

[tex]\frac{1}{5} \int\ {\frac{1}{1 + x^{10}}} \, du[/tex]

Express x^(10) as x^(5*2)

[tex]\frac{1}{5} \int\ {\frac{1}{1 + x^{5*2}}} \, du[/tex]

Rewrite as:

[tex]\frac{1}{5} \int\ {\frac{1}{1 + x^{5)^2}}} \, du[/tex]

Recall that: [tex]u = x^5[/tex]

[tex]\frac{1}{5} \int\ {\frac{1}{1 + u^2}}} \, du[/tex]

Integrate

[tex]\frac{1}{5} * \arctan(u) + c[/tex]

Substitute: [tex]u = x^5[/tex]

[tex]\frac{1}{5} * \arctan(x^5) + c[/tex]

Hence:

[tex]\int\ {\frac{x^4}{1 + x^{10}}} \, dx = \frac{1}{5}( \arctan(x^5)) + c[/tex]

Evaluate 3a for a = 5

Answers

Answer:

Hello There!!

Step-by-step explanation:

The answer is 15 as 3a=3×a so 3×5=15.

hope this helps,have a great day!!

~Pinky~

Write a Linear Equation in the form y = mx + b for the following situation: Syd and her friends are washing cars over the summer. Without a membership, each car costs $10 to wash. With a membership, you would pay a $10 flat fee and receive washes for only $4 per car! Which linear equation below reflects the cost per car with a membership? *

Answers

Answer:

y=4x+10

Step-by-step explanation:

If $10 is a flat fee, then that is your constant; it doesn't change.

If $4 per car, then 4 is your coefficient.

Therefore, your equation is y=4x+10

Find the volume. Find the volume=

Answers

Volume of trianglular prism:

= ½ × b × h × l

= ½ × 8 × 4 × 7

= 4 × 28

= 112 cm³

Answer:

112 sq cm

Step-by-step explanation:

8x4=32

32/2=16

16x7=112

What is the domain of the function represented by this graph?

A. X>4
B. X<0
C. All real numbers
D. -2

Answers

Answer:

All real numbers

Step-by-step explanation:

When looking at what numbers of x could be part of the functio, we can see that all real numbers can be found in this function for x

Evaluate the following expression 12xy=2,y=4

Answers

Answer:

1/24

Step-by-step explanation:

Solve for y =4

48x=2

When you are solving a compound inequality, how can you express the solution?
Please give your rationale.

Answers

Answer:

When solving a compound inequality, you can express the solution in two different ways: using a union or intersection.

Using a union:

A union represents the solutions that belong to either one inequality or the other, or both. You can express a union using the symbol "or," or by writing the solutions for each inequality separately and combining them using a "union" symbol (∪). For example, if you have the compound inequality "x > 2 or x < -3," you can express the solution as "x ∈ (-3, 2) ∪ (-∞, -3) ∪ (2, ∞)."

Using an intersection:

An intersection represents the solutions that belong to both inequalities. You can express an intersection using the symbol "and," or by writing the solutions for each inequality separately and combining them using an "intersection" symbol (∩). For example, if you have the compound inequality "x > 2 and x < -3," you can express the solution as "x ∈ (-3, 2) ∩ (-∞, -3) ∩ (2, ∞)."

Which method you use to express the solution will depend on the specific inequalities and the type of solutions you are looking for. It is important to carefully consider the inequality symbols (>, <, ≥, ≤) and the use of "and" or "or" in order to determine the correct solution.

When solving a compound inequality, the solution can be expressed in one of two ways: as an interval or as a union of intervals.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

An interval is a set of all real numbers between two given numbers, and is written in the form (a, b) or [a, b], where a and b are real numbers, and a < b. If a and b are included in the interval, then the interval is written as [a, b]; if a and b are not included in the interval, then the interval is written as (a, b).

A union of intervals is a combination of two or more intervals, and is written in the form (a, b) ∪ (c, d) or [a, b] ∪ [c, d], where a, b, c, and d are real numbers, and a < b and c < d.

When solving a compound inequality, it is important to first simplify the inequality by combining like terms, isolating the variable on one side of the inequality, and combining any separate inequalities into a single inequality. Then, the solution can be found by graphing the inequality on a number line, and shading the portion of the number line that represents the solution.

Once the solution is found the solution can be expressed either as an interval or as a union of intervals depending on the inequality. For example, if the inequality is x>1 and x<3, then the solution would be expressed as (1,3) and this is an example of an interval. If it's x>1 and x≥3 then the solution would be expressed as (1,3] U [3,∞) and this is an example of union of intervals.

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Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new
bike. At least how many hours does he need to work?

Answers

Answer:

it will take Johnny 7 hours

Step-by-step explanation:

It was easy, i divided 105 by 15 and got 7

Have a wonderful day :)

Answer:

7 hours

Step-by-step explanation:

15 * x = 105

---          ---

15           7

x=7

Select the correct answer.
Simplify the expression.

Answers

Answer:

The answer to the question is C

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