what is x in this problem simplify
x−15≤−6

On solving the provided question we can say that on permutation choose which two of the six positions contain the two digits = 685464000

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order.

Assuming we regard upper and lower case letters as different, there are  52^4 ways = 7311616 ways

sequences of four letters and 100 sequences of two digits

there are 15 ways choose which two of the six positions contain the two digits = 685464000

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Answer:

Step-by-step explanation:

It would have no solution. Every time x is something, the 4x-4x will cancel each other out leaving the -5=-5

The probability of Ultraviolet performing fourth and Abacus performing last is 1/20.

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

In a tour, five bands agree to determine the order of performance on the basis of random selection.

Since, the name of 5 bands are pulled randomly.

The probability of Ultraviolet performing fourth = 1/5

And the probability of Abacus performing last = 1/4, since 1 place is fixed for Ultraviolet.

Probability of Ultraviolet performing fourth and Abacus performing last

= 1/5 x 1/4 = 1/20

The required probability is 1/20.

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Answer:

The correct answer is -1/13

Hope this helps!! :)

Answer:

(1, -3)

Step-by-step explanation:

Since WY is equal to XY, which is 8, the length of WY is also 8

Since quadrilateral WXYZ is a rectangle, opposite sides are congruent. This means that WY is also equal to 8.

In a rectangle, the opposite sides are parallel and congruent, and the adjacent sides are perpendicular to each other.

Given:

XZ = 2c

ZY = 6

XY = 8

We can see that XY is the diagonal of the rectangle, and it forms a right triangle with sides XY, XZ, and ZY. Using the Pythagorean theorem, we can find the length of WY.

Using the Pythagorean theorem: XY² = XZ² + ZY²

Substituting the given values: 8² = (2c)² + 6²

64 = 4c² + 36

4c² = 64 - 36

4c² = 28

c² = 28/4

c² = 7

c = √7

Since WY is equal to XY, which is 8, the length of WY is also 8.

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Answer:

10 ft.

Step-by-step explanation:

the shadows are half of the actual height, so double 5 is 10

No, Yes, No, No

-6 = (w/9) - 1

add 1 both side

-5 = w/9

multiply 9 by both sides

w = -45

Answer:

I'm pretty sure -45 is the only answer out of all of those.

Answer:

(-1,-2)

Step-by-step explanation:

Inverse function is where y and x are exchanged in position of a equation of a function.

The sprinter's distance can be represented by x(t) and elapsed time by t(x), but the rocket ship's distance to earth cannot be represented as a function of elapsed time or vice versa.

a) Yes, the sprinter's distance traveled as a function of elapsed time can be represented by a function x(t). This is because for every elapsed time t, there is a corresponding distance x that the sprinter has traveled. The function t(x), representing elapsed time as a function of distance traveled, can also be defined. This function would give the elapsed time t corresponding to a given distance x traveled. Both functions x(t) and t(x) are invertible, meaning that one can be obtained from the other by algebraic manipulation.

b) The ship's distance to Earth is not a function of elapsed time, as the ship's velocity is not constant. This means that the distance traveled by the ship is not dependent solely on elapsed time. On the other hand, elapsed time is a function of the ship's distance to Earth, as the velocity of the ship can be determined from its position and the elapsed time. The function t(x) would give the elapsed time t corresponding to a given distance x from Earth.

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Part a)

The process of finding the mean has us add up all the numbers in the set, then dividing by the number of numbers.

For example, the mean of the set {1,2,6} is (1+2+6)/3 = 9/3 = 3

Let S = total number of points at the end of 11 games

Dividing S over 11 will get us the mean of 33 points per game

The idea is to solve for S.

S/11 = 33

S = 11*33

S = 363

We don't know the individual point values for any given game, but we do know that the 11 scores add to 363.

======================================================

Part b)

ppg = points per game

The mean ppg through 11 games is 33 ppg.

We're told that "At the end of 10 games, their mean score was 2 points higher." which tells us at the end of 10 games, they must have scored 33+2 = 35 ppg

======================================================

Part c)

We'll use the result of part b) and follow the same idea mentioned in part a)

R = sum of the points through 10 games

R/10 = mean ppg through 10 games

R/10 = 35

R = 10*35

R = 350

======================================================

Part d)

The answer to part a) was that the team scored a combined 363 points through 11 games. Then in part c), we found that the team scored a combined 350 points through 10 games.

Therefore, the team scored 363-350 = 13 points in their 11th game.

Water quality concerns, as part of the water chemistry monitoring program, involve analyzing the presence of trace minerals and nutrients in surface water samples collected from Lake Louise and Louise Creek. Correct option is C.

To ensure water quality, it is crucial to assess the presence of various substances in the water samples. While trace minerals are essential to understand the composition of the water and detect any potential contaminants or harmful elements, nutrients also play a significant role.

Nutrients in water refer to substances such as nitrogen and phosphorus, which are essential for the growth and survival of aquatic organisms. However, excessive nutrient levels can lead to water quality issues such as eutrophication, harmful algal blooms, and oxygen depletion. Monitoring and analyzing nutrient levels in surface water samples help identify any imbalances and potential ecological impacts.

The ongoing water chemistry monitoring program at Faimont Chateau Lake Louise collects annual surface water samples from Lake Louise and Louise Creek to ensure the continued evaluation of trace minerals and nutrients. This proactive approach allows for the early detection of any deviations from desired water quality standards, enabling appropriate actions to maintain the ecological health of the water resources.

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Answer:

-1.75, -3/2, -1 1/4

Step-by-step explanation:

Let me know in comments if I need to explain.

The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.

The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.

Here, we will solve this system of equations using inverse of the matrix method as follows:

We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].

The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33]  where,

d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,

d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,

d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,

d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,

d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,

d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,

d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,

d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,

d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.

We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]

Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]

Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.

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Answer:

a) To find the other missing length we must be given an area and a length

We then divide the total area by the given length

so

6534/99 = 66 is the missing width

A subclass refers to a class that can inherit properties of another class called a superclass. The subclass will have all the characteristics and behavior of the superclass, and it can be modified to meet the unique needs of a specific class. Therefore, if a program uses two classes, airplane, and jumbojet, then the most likely subclass is the jumbojet.

Suppose that the airplane is the superclass that will have all the characteristics and behavior of an airplane. On the other hand, the jumbojet will be the subclass that inherits the features of an airplane. As the subclass, the jumbojet can be modified to have additional features unique to it.

The inheritance concept in programming ensures that there is efficient use of code. It makes it easy to reuse code for creating new classes. When using inheritance, developers avoid copying and pasting code, which can lead to errors and repetition.

Suppose that the airplane and jumbojet are classes representing vehicles in a flight system.

Airplane is the superclass representing all the aircraft, while jumbojet is the subclass representing a specific type of airplane, which is a large passenger aircraft. Therefore, the jumbojet, being a specific type of airplane, is the most likely subclass.

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Answer:

r=5

Step-by-step explanation:

1.simplify both sides of the equation.

2.substract 2r from both sides.

3.substract 12 from both sides.

4.multiply both sides by 5/(11)

5. your answer will be 5.

r=5

The equation that shows proportionality is in the form y = kx; Where k is the constant of proportionality.

An equation is an expression that shows the relationship between two or more numbers and variables.

Two variables are said to be proportional if an increase or decrease in one variable leads to a corresponding increase or decrease in the other variable.

The equation that shows proportionality is in the form:

y = kx

Where k is the constant of proportionality.

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Answer:

the answer is 9 be ause the other side is 9

If lidocaine is injected intra-arterially, it can quickly lead to systemic toxicity. The first signs of toxicity may include circumoral numbness and tongue paresthesia, but these symptoms may be followed by more severe manifestations such as dizziness, seizures, and cardiac arrest.

The systemic effects of lidocaine are dose-dependent, meaning that the higher the dose, the more severe the symptoms.

Lidocaine is a local anesthetic that is commonly used for minor surgical procedures or dental work. It works by blocking the nerve signals that transmit pain to the brain. However, if it is injected into an artery, it can rapidly spread throughout the body and affect other organs, leading to potentially life-threatening complications.

If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly. The first step is to stop the injection and monitor the patient closely for signs of toxicity. If the patient is experiencing severe symptoms, such as seizures or cardiac arrest, emergency treatment should be initiated immediately. Treatment may include administering medications to counteract the effects of the lidocaine or performing cardio-pulmonary resuscitation (CPR) if necessary.

In conclusion, the first signs of lidocaine toxicity may include circumoral numbness and tongue paresthesia, but more severe symptoms may follow, such as dizziness, seizures, and cardiac arrest. If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly to prevent potentially life-threatening complications.

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Answer:

8(4n)=8(4n)

Step-by-step explanation:

Answer: =28n+7

Step-by-step explanation:

The correct definition for the lines drawn to circle with centre C are:

A circle is a spherical shape without boundaries or edges.

Thus, on the basis of propertied of circle, the correct definition for the lines drawn to circle with centre C are:

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Answer:

(a) hundreds = 817

(b) hundredths = 817.09

(c) 3 d.p = 817.086

(d) 4 s.f. = 817.1

(e) whole number = 817

Answer:

Add the area of each object.

Step-by-step explanation:

a=4 (add up the two squares in the middle. Then, add up the triangles.)

b=4 (add up the two squares in the middle. Then, add up the triangles.)

In conclution, they are both congruent but just rotated differently.

Answer:

A) f(2) = 120, g(2) = 4.

B) f'(x) = 5x + 20

C) R - {-2}.

Step-by-step explanation:

A) Just apply given value and resolve:

\(f(2) = 20 \times 2 + 80 = 40 + 80 = 120 \\ g(2) = 2 + 2 = 4\)

B) g(2) is 4, so just divide f(x) by 4:

\( \frac{1}{4} f(x) = \frac{1}{4} (20x + 80) = \frac{20}{4} x + \frac{80}{4} = 5x + 20\)

C)

\( \frac{f(x)}{g(x)} = \frac{20x + 80}{x + 2} \)

Polynomials have full domain. A Quotient of polynomials is defined when denominator is not zero. In this sample, denominator is zero when x = -2, so -2 is not part of the domain. All other real numbers are part, hence R - {2}.

1. The value of F(2) = 120 and g(2) = 4.

2. The division is 5(x+4)

3. The domain is real number except -2.

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The function f(x) = 20x + 80 represents the distance in miles a drone flew.

The function g(x) = x + 2 represents the time the drone flew in hours.

1. F(2)= 20(2)+ 80= 40+ 80= 120

and, g(2)= 2 + 2 = 4

2. The division is

= F(x) / g(2)

= (20x + 80)/ (2+2)

= 20 (x+4) / 4

= 5 (x+4)

3. The domain of F(x) / g(x) is all real number except -2.

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Answer:

$300

Step-by-step explanation:

First, you subtract 475 and 175.

Which equals 300. That means that you saved $300.

Answer:$300

Step-by-step explanation:

475 (base price) - 175 (sale price)

=300 (saved price)

Answer:

4,900 calories

Step-by-step explanation:

5(300)+5(70)+5(60)+5(300)+5(250)

=5(300+70+60+300+250)

=5(980)

=4,900