reflect shape A in the line x=-1

The probability that no letters are repeated when 11 letters are typed can be calculated using the concept of permutations. A permutation is a concept in combinatorial mathematics. Hence Probability is 0.000000081.

To calculate the probability, we need to determine the number of ways we can arrange 11 different letters without repetition.

The first letter can be chosen in 26 ways (since there are 26 letters in the alphabet). The second letter can be chosen in 25 ways (as one letter has already been used).

Similarly, the third letter can be chosen in 24 ways, and so on, until the eleventh letter can be chosen in 16 ways. Therefore, the total number of ways to arrange the 11 letters without repetition is:

26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17 x 16 = 3,699,247,200

Next, we need to calculate the total number of possible outcomes when 11 letters are typed. Since each letter can be any of the 26 letters in the alphabet, there are \(26^11\) possible outcomes.

Therefore, the probability can be calculated by dividing the number of favourable outcomes (3,699,247,200) by the total number of possible outcomes \((26^11)\):

Probability = \(3,699,247,200 / (26^11)\)

Calculating this, we get a decimal number. Rounding it to 6 decimal places, the probability is:

Probability ≈ 0.000000081

So, the probability that no letters are repeated when 11 letters are typed is approximately 0.000000081.

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Answer:

Step-by-step explanation:

12x^2+24x=0

a= 12

b= 24

c=0

x= -24 +/- the square root of 24^2-4x12x0 divided by 2x12

once you solve that, you should get x=0 x=-2

Answer:

v = -3

Explanation:

The first step in solving for v is to expand the left-hand side of the equation. Thi

Answer:

it is plasma i think

Step-by-step explanation: i hope this answer your question if this is wrong or correct please let me know.

Answer:

What is plasma explain?

Plasma is the largest part of your blood. ... When separated from the rest of the blood, plasma is a light yellow liquid. Plasma carries water, salts and enzymes. The main role of plasma is to take nutrients, hormones, and proteins to the parts of the body that need it. Cells also put their waste products into the plasma.

Step-by-step explanation:

-Hope this helps!

PLS MARK ME BRAINLIEST

The other wall is 12 feet long can be evaluated using Pythagoras theorem.

What is Pythagoras theorem?

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC2 = AB2 + AC2 in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

Here given in the question that one side of the wall 5 feet

So as it is a rectangular bedroom it can be split into 2 right-angled triangles.

So the hypotenuse of the triangle is 13 feet

Now using the Pythagoras theorem we can  find out the length of the other wall

b²=h²-p²

b²=13²-5²

b²=169-25=144

b=√144

b=12 feet

Hence the other wall is 12 feet long.

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45 feet far apart are Mrs. Lester and Alvin.

What is Pythagoras' theorem?

A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Here, we have

Given: Mrs. Lester is teaching a 5th-grade class. She is standing 36 feet in front of Valeria. Alvin is sitting 27 feet to Valeria's right.

By using Pythagoras' theorem

c² = a² + b²

c² = (36)² + (27)²

c² = 1296 + 729

c² = 2025

c = 45

Hence, 45 feet far apart are Mrs. Lester and Alvin.

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The answer is 68$

68$ was the final amount paid for the calculator

Weare given the expression:

"The product of five and the square of a number"

So we can write this in math form as:

5 times unknwon number squared

5 * x^2

where we represented the unknown number via the letter "x"

Notice that this letter (called variable in math terms) is squared.

Algebraic expressions that contain a variable to a power different from one, are NOT LINEAR.

This expression in particular that contains the letter (variable) x to the power "2" is referred as a quadratic expression.

Pure mathematical expression is:

We are also asked to represent the following in math terms:

"Multiply five and the reciprocal of the quotient of a number and nine"

in math terms we have a product (given by the order: "multiply"):

5 times the "reciprocal of the quotient of "x" and 9"

We first need to express the quotient they ask for: "a number and 9", representing the "number" with "x" as we did before:

quotient of number and 9 is: x / 9 (x divided by nine)

The "reciprocal" of this is the fraction "flipped-over": 9 / x (nine over x)

Then finally when we complete the expression we get:

5 times (9 / x) = 45/x

In pure math terms:

As we see, in this case , the variable "x" appears in the "denominator" at the very end. Since the variable is in the denominator, the expression is NOT LINEAR. the variable doesn't appear in the numerator with exponent (power) "1" (one) . Having the variable in the denominator involves a "negative exponent" for the variable "x" then this expression is NOT LINEAR.

The rate at which water is draining is 72 liters per second.

The slope of a graph is a measure of how steep the graph is, or how much the dependent variable changes in relation to the independent variable.

The rate at which water is draining is equal to the slope of the graph;

Mathematically, the slope is defined as the ratio of the change in the vertical or y-axis value (the dependent variable) to the change in the horizontal or x-axis value (the independent variable) between two points on the graph. It represents the rate of change or the steepness of the graph.

The slope is usually denoted by the letter "m" and is calculated using the following formula:

Slope (m) = (change in y-axis value)/(change in x-axis value)

rate = slope = (0 L - 360 L )/( 5 s - 0 s )

rate = -360 L / 5 s

rate = -72 L/s

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Answer: They'll need 7 bags, but the 7th bag will only have 2 pretzels. They have a total of 32 pretzels.

There are 70 ways to choose four toppings from the eight choices at the salad bar.

In mathematics, permutation refers to the arrangement of objects in a specific order. A permutation is an ordered arrangement of a set of objects, where the order matters and repetition is not allowed. It is denoted using the symbol "P" or by using the notation nPr, where "n" represents the total number of objects and "r" represents the number of objects chosen for the arrangement.

Permutations are commonly used in combinatorial mathematics, probability theory, and statistics to calculate the number of possible arrangements or outcomes in various scenarios.

To determine whether to use a permutation or a combination, we need to consider if the order of the toppings matters or not.

In this situation, the order of the toppings does not matter. You are simply selecting four toppings out of eight choices. Therefore, we will use a combination.

To solve the problem, we can use the formula for combinations, which is nCr, where n is the total number of choices and r is the number of choices we are making.

Using the formula, we can calculate the number of ways to choose four toppings from eight choices:

\(8C4 = 8! / (4! * (8-4)!) = 8! / (4! * 4!) = (8 * 7 * 6 * 5) / (4 * 3 * 2 * 1) = 70\)

So, there are 70 ways to choose four toppings from the eight choices at the salad bar.

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The required answers are:

a) The focal length of the mirror is -2.4 m.

b) The mirror is concave.

c) The magnification of the mirror is 6.00.

d) The image is real, upright, and magnified.

a. To find the focal length of the mirror, we can use the mirror equation:

1/f = 1/s + 1/s'

Where:

f is the focal length of the mirror,

s is the object distance (distance of the shopper from the mirror), and

s' is the image distance (distance of the image from the mirror).

Given:

s = 2.00 m

s' = -12.0 m (negative sign indicates the image is behind the mirror)

Plugging in the values:

1/f = 1/2.00 + 1/(-12.0)

Simplifying the equation:

1/f = -5/12

Taking the reciprocal of both sides:

f = -12/5 = -2.4 m

Therefore, the focal length of the mirror is -2.4 m.

b. The mirror is concave. We know this because the image distance (s') is negative, which indicates that the image is formed on the same side as the object (in this case, behind the mirror). In concave mirrors, the focal length is negative.

c. The magnification of the mirror can be determined using the magnification formula:

m = -s'/s

Given:

s = 2.00 m

s' = -12.0 m

Plugging in the values:

m = -(-12.0) / 2.00 = 6.00

Therefore, the magnification of the mirror is 6.00.

d. Based on the information given, we can describe the image of the shopper as follows:

- The image is real because it is formed by the actual convergence of light rays.

- The image is upright because the magnification is positive.

- The image is enlarged because the magnification is greater than 1 (magnification = 6.00).

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answer:

I hope the solution is helpful.

For the given average principal $28650 of per student loan at the rate of interest increases from 5.05% to 6.8% , the amount of interest increases for the period of 10 years is equal to $8424 (nearest dollars).

As given in the question,

Principal amount owed by student for student loan 'P' = $28,650

Rate of interest increases from 5.05% to 6.8%

Time period of repayment of student loan 'T' = 10-years

Interest for the first rate of interest 'R' = 5.05%

Interest = P ×( 1+ R/100)^T

             = 28,650 × ( 1 + 5.05/100 ) ^10

             = 28,650 × ( 1 + 0.0505 )^10

             = 28,650 × 1.63667

             = $46,890.6

Interest for the second rate of interest 'R' = 6.8%

Interest = P ×( 1+ R/100)^T

             = 28,650 × ( 1 + 6.8/100 ) ^10

             = 28,650 × ( 1 + 0.068 )^10

             = 28,650 × 1.930689

             = $55,314.2

Increase in interest amount for increase in rate of interest from 5.05% to 6.8%

=  $( 55,314.2 - 46,890.6 )

= $8423.6

=$8424 ( nearest dollar)

Therefore,  for the given average principal $28650 of per student loan at the rate of interest increases from 5.05% to 6.8% , the amount of interest increases for the period of 10 years is equal to $8424 (nearest dollars).

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Answer:

11m/min

Step-by-step explanation:

slope of the line = velocity of the turtle

slope = y/x

= 55/5

=11

Answer:

11

Step-by-step explanation:

55 meters by 5 minutes, so divide 55 by 5 to find one minute.

55/5 = 11

How is anyone gonna know that lol

Answer:

The answer is F

Step-by-step explanation:

All the measures of central tendency are, The median, The mode, and The mean.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are some measures,

A. The median

B. A sample statistic

C. The mode

D. The lowest value

E. The mean

We know that;

The four measures of central tendency are mean, median, mode and the midrange.

Here, mid-range or mid-extreme of a set of statistical data values is the arithmetic mean of the maximum and minimum values in a data set.

Hence, All the measures of central tendency are, The median, The mode, and The mean.

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Answer:

Step-by-step explanation:

65

Answer:

91.9 feet to the nearest tenth.

Step-by-step explanation:

Let the required distance be x feet.

Using the Pythagoras theorem:

x^2 = 65^2 + 65^2

x^2 = 8450

x = 91.9.

Answer:

ya

Step-by-step explanation:

.

The next proportion must be satisfied

Replacing with data,

Using quadratic formula,

The negative answer has no sense in this problem, then the length of TG is 3.

The function of f(u) = cos(u)` and `g(x) = sin x`.

We are to write the function `y = cos(sin x)` below in the form `y = f(u)` and `u = g(x)`.

Then, we need to find `dy/dx` as a function of `x`.

Function `y = cos(sin x)` can be written as: `y = f(u)`, where `u = sin x` and `f(u) = cos(u)`.

Thus, `f(u) = cos(sin x)` and `u = sin x`.

Hence, `f(u) = cos(u)` and `g(x) = sin x`.

Now, we can apply the chain rule of differentiation to find `dy/dx` as a function of `x`.

The chain rule states that if `y = f(u)` and `u = g(x)`, then `dy/dx = dy/du * du/dx`.

Here, `f(u) = cos(u)` and `g(x) = sin x`. Thus, `dy/du = -sin(u)` and `du/dx = cos x`.

Therefore, `dy/dx = dy/du * du/dx = -sin(u) * cos x = -sin(sin x) * cos x`.

Thus, `dy/dx = -sin(sin x) * cos x`.

Hence, the functions `f(u)` and `g(x)` are: `f(u) = cos(u)` and `g(x) = sin x`.

Therefore, we have `y = cos(sin x)` in the form `y = f(u)` and `u = g(x)`.

Finally, `dy/dx` as a function of `x` is `-sin(sin x) * cos x`.

Thus, `f(u) = cos(u)` and `g(x) = sin x`.

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When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.

A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.

A weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.

Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

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The place where the company should place the tower should be the circumcenter of the area.

The circumcenter denotes the precise point where the perpendicular bisectors of each triangle's sides intersect.

To ascertain the circumcenter, a systematic procedure is followed. First, the company must draw straight lines connecting the respective centers of the towns, effectively forming the triangular shape. Subsequently, the midpoints of each triangle's sides are determined by measuring and dividing the length of each line segment by two.

These midpoints serve as vital reference points in the subsequent steps. By extending lines perpendicular to the sides at their respective midpoints, the perpendicular bisectors are established. These bisectors intersect at a singular point, which signifies the circumcenter and serves as the optimal placement for the cell tower.

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The value of c that makes the equation true is c = 64, when x = 6 and y = 3.

To find the value of c that makes the equation true, we can start by simplifying both sides of the equation using exponent rules and canceling out common factors.

First, we can simplify 3√(x^3) to x√x, and 3√y to y√y, giving us:

x√x/cy^4 = x/4y(y√y)

Next, we can simplify x/4y to 1/(4√y), giving us:

x√x/cy^4 = 1/(4√y)(y√y)

We can cancel out the common factor of √y on both sides:

x√x/cy^4 = 1/(4)

Multiplying both sides by 4cy^4 gives us:

4x√x = cy^4

Now we can solve for c by isolating it on one side of the equation:

c = 4x√x/y^4

We can substitute in the values of x and y given in the problem statement (x>0 and y>0) and simplify:

c = 4x√x/y^4 = 4(x^(3/2))/y^4

c = 4(27)/81 = 4/3 = 1.33 for x = 3 and y = 3

c = 4(64)/81 = 256/81 = 3.16 for x = 4 and y = 3

c = 4(125)/81 = 500/81 = 6.17 for x = 5 and y = 3

c = 4(216)/81 = 64 for x = 6 and y = 3

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Answer:

To find the length of DE, we need to use the fact that the two triangles are similar. This means that the corresponding sides of the triangles are proportional.

Let's use the following variables to represent the lengths of the sides:

BC = x

BF = y

DE = z

From the given information, we know that:

- BF = 20

- BC = 15

- Angle FBC = 56 degrees

- Angle EDC = 85 degrees

- Angle BFC = 90 degrees

Since angle BFC is a right angle, we can use trigonometry to find the length of BF:

sin(56) = BF / BC

BF = BC * sin(56)

BF = 15 * 0.829

BF = 12.435

Now we can set up a proportion using the corresponding sides of the two triangles:

BC / BF = DE / EF

Substituting the values we know:

15 / 12.435 = z / 24

Simplifying:

z = 15 * 24 / 12.435

z = 28.93

So the length of DE is approximately 28.93.

hope it helps you...

Answer:

1. x^8

2.1

3.x^15

4.x^10

5.x^6

6.x^5y^5

7.x^-6

8.x^9

9.x^14

10.x^5

11.x^-1

12.x^11

Step-by-step explanation: