How many different ID cards can be made if there are six digits on a card and no digit may be used more than once

The numbers in the arrangement can be represented by x, y, z, a, b, c and d, where x is at the top and d is at the bottom. The relationship between the numbers is as follows:

x = y - z

y = a - b

z = c - d

We can use this information to find the values of z, c, and d in terms of x, y, and a:

z = y - x

c = z + d

d = z - c

Since we are looking for the four greatest distinct possible values for z, we can assume that x, y, and a are as small as possible (i.e. 0) and c and d are as large as possible.

Thus, the four greatest distinct possible values for z are:

z = y - x = 0 - 0 = 0

z = a - y = 0 - 0 = 0

z = c - d = c

z = c - d = d

The sum of these four values is 0 + 0 + c + d = c+d.

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If you solve the equation and get the same number as yourself, there are infinite solutions, and if you get the wrong equation, there is no solution.

You can see that both slopes are the same (-3). This shows that the lines are parallel without creating a graph. Therefore, the system of equations cannot be solved.

What distinguishes infinitely many solutions from zero? If the equation is wrong, the system has no solution. If the equation statement is true, there are infinitely many solutions.

A linear algebra problem is a linear system of n equations with n unknown variables. A system may have one solution, no solution, or an infinite number of solutions.

solution - all linear equations intersect or intersect at some point in space

No Solution - System is inconsistent and not all linear equations intersect or intersect.

Infinitely many solutions - some linear equations are the same line in space, some variables are unbounded.

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3 tenths and 24 hundredths, after regrouping gives 0.54

In math, regrouping can be defined as the process of making groups of tens when carrying out operations like addition and subtraction with two-digit numbers or larger. To regroup means to rearrange groups in place value to carry out an operation. We use regrouping in subtraction, when digits in the minuend are smaller than the digits in the same place in the subtrahend.

Given here, 3 tenths and 24 hundredths after  regrouping we get

(3 tenths + 24 hundreths) = 0.54

Hence, 3 tenths and 24 hundredths after regrouping gives 0.54

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Answer:

polygon has 12 sides

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

the sum of the interior angles of a polygon is

sum = 180° (n - 2 ) ← n is the number of sides

given the sum of the interior angles is 5 times sum of exterior angles, then

sum = 5 × 360° = 1800° then

180° (n - 2) = 1800 ( divide both sides by 180 )

n - 2 = 10 ( add 2 to both sides )

n = 12

Thus the polygon has 12 sides

Answer:

A) 24

B) 10

C) 4

Step-by-step explanation:

i multiplied for each question

The conclusion which we get after analyzing the data given is that there aren't outliers in the displayed data set.

We will calculate the interquartile range and us the rule 1.5 .

The formula to calculate  interquartile range is to subtract the value of first quartile by the value of second quartile.

IQR = Q3 - Q1

Therefore, interquartile range becomes,

IQR = 17 - 13

IQR = 4

Now , we will apply rule 1.5 and for that we will multiply 4 by 1.5 first

4 * 1.5 = 6

and then,

17 + 6 = 23

on applying the rue we will get ,

13 - 6 = 7 .

This value means that there is no outlier in the displayed data set.

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Answer:

slope = -1

Step-by-step explanation:

any 2 points:

(2,2) (0,4)

to find the slope we use the formula:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

slope is:

2/-2 = -1

Answer:

The slope is =

2/-2 = -1

Step-by-step explanation:

Also i hope you have a wonderful day !

All are required assumptions about the error term.

In regression analysis, there are several assumptions that need to be met regarding the error term :

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Answer:

Step-by-step explanation:

We know that , the equation of line when the slope and the coordinates are given is:

y - y1 = m(x - x1)

where x1 = 4 , y1 = -6 and m = 1/2

therefore, y -(-6) = 1/2(x - 4)

y + 6 = x/2 - 2

6+2 = x/2 - y

8 = x - 2y/2

16 = x - 2y

required equation : x-2y-16=0

Division is the antithesis of multiplication. When you divide twelve into three equal groups, you get four in each group when you multiply three groups of four to create twelve.

The opposite of multiplication is division. When you multiply three groups of four to produce twelve, you get four in each group when you split twelve into three equal groups. The basic objective of splitting is to determine how many equal groups are created or how many people are in each group after a fair distribution.

The phrase to use is "divide in half," not "divide by half," when discussing splitting something into two equal portions. In mathematics, multiplying by two is equivalent to dividing by half. Additionally, see "multiply by two."

The French term "douzaine," which denotes a group of 12, is where the word "dozen" originates.

2 dozen apples equals 24, and 24 divided by 8 is 3.

Therefore, the answer is 3.

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The correct expression to represent the similarity of these two triangles is,

21/35 = x/30.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know two triangles are similar if the ratio of their corresponding sides is equal.

Therefore, The correct way to represent the similarity is,

21/35 = x/30.

We can solve for x here,

35x = 21×30.

5x = 3×30.

x = 3×6.

x = 18.

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The length of the wood altogether is 340 inches

Robert is building a deck

Each piece of the wood measures 42.5 inches

Robert has 8 boards

The length of the wood altogether is

= 42.5 × 8

= 340

Hence the length of the wood is 340 inches

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Therefore, Becky must combine 25.6 grams of the second ingredient (25 percentage protein) with 2.4 grams of the first ingredient (50 percent protein) to create 28 grams of

A percentage (%) is a number that can alternatively be written as a decimal or fraction and represents a quantity as a proportion of 100. You can change a percentage to a fraction by putting 100 in the numerator and also the percentage number in the numerator.

Here,

Becky will need to blend several substances to obtain the necessary level of protein in order to generate 28 grams of a material that is 30% protein.

Let's name the first ingredient's percentage of protein (50%) "x" and the second ingredient's percentage of protein (25%) "y".

That which we are aware of is

28 grams of the combination are present in total.

It has 30% protein.

50% of the first component is protein.

25% protein makes up the second component.

To express the issue, we can build up the following equations:

x + y = 28 (the total amount of the mixture is 28 grams) (the total amount of the mixture is 28 grams)

(0.50)x + (0.25)y = 0.30(28) (the mixture is 30% protein)

Now we can use the first equation to solve for one variable in terms of the other. If we solve for y, we get:

y = 28 - x

We can substitute this into the second equation:

(0.50)x + (0.25)y = 0.30(28) (28) (30% of the mixture is protein)

We may now solve for one variable in terms of the other using the first equation. If we figure out y, we obtain:

y = 28 - x

This can be used as a substitution in the second equation:

(0.50)x + (0.25)(28-x) = 0.30(28) (28)

which results in:

0.50x + 7 - 0.25x = 8.4

And simplifying even more

0.25x = 0.6

x = 2.4

We now know that 2.4 grams of the combination are made up of the first component, which is 50% protein. Using this knowledge, we can calculate the quantity of the second ingredient:

y=28 - x=28 - 2.4=25.6 grams

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The equation of a line is given by y = mx + b, where m is the slope and b is the y-intercept. Given that the slope is 3 and the y-intercept is 5, the equation of the line is y = 3x + 5.

The equation of a line is a mathematical expression of the form y = mx + b, where m is the slope and b is the y-intercept. This equation can be used to describe the relationship between the x-coordinate and y-coordinate of points on a line. In this specific equation, the slope is 3 and the y-intercept is 5, which means that the line passes through the point (0, 5) and has a slope of 3. Substituting 3 for m and 5 for b in the equation, we get y = 3x + 5, which is the equation of the line with a slope of 3 and a y-intercept of 5. We can use this equation to determine the y-coordinate of any given point on the line, provided we know the x-coordinate of the point. It is important to note that this equation is only applicable to straight lines, and not curves.

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Answer:

right triangle m=5

Step-by-step explanation:

because it has a 90 degree angle

Answer:

find 3 consecutive numbers such that twice the first , 3 times the second and 4 times the third together make 191 ?

Let n-1,n and n+1 be three consecutive numbers.

Given

2(n-1)+3n+4(n+1)=191

2n-2+3n+4n+4=191

9n+2=191

9n = 189

n = 21

So, n-1=20 and n+1=22

So the answer is 20,21,22

[tex] \huge \bold{\color{red}{ANSWER}}[/tex]

[tex]\pmb { \orange{Given }:} \sf{ Three \: Consecutive \: numbers}[/tex]

[tex]\pmb{\orange{To find}: } \sf{Least \: of \: the \: numbers}[/tex]

[tex]\pmb{\orange{Solution}: }[/tex]

[tex]\sf{Let \: the \: three \: consecutive \: numbers \: be }[/tex]

[tex] \sf\red x, \red {x+1}, \red{x+2}[/tex]

[tex]\sf{Twice \: the \: number = 2\red x}[/tex]

[tex]\sf{3 \: times \: the \: Second \: number = 3(\red{ x+1})}[/tex]

[tex]\sf{4 \: times \: the \: third \: number= 4(\red {x+2})}[/tex]

☆ according to question

[tex] \pmb{2\red x + 3(\red{x+1})+4(\red{x+2})= 191}[/tex]

[tex] \pmb{2\red{x} + 3\red{x}+3+4\red{x}+8= 191}[/tex]

[tex] \pmb{9\red{x}=191-11 = 180}[/tex]

[tex] \pmb{\red{x}=20}[/tex]

[tex] \sf{∴the \: three \: Consecutive \: numbers \: are} [/tex]

[tex] \pmb{\pink{20}, \pink{21}, \pink{22}}[/tex]

_________________......

[tex] \purple{ \pmb{LearningLifeII}}[/tex]

In a triangle, a line is drawn parallel to one side of the triangle. Then it ratio of the two similar triangles will be con

The Basic Proportionality Theorem, often known as the Thales Theorem, was developed by the eminent Greek mathematician Thales. He asserted that the ratio of any two matching sides is constant for any two equiangular triangles. He developed the basic proportionality theorem based on this idea (BPT). Similar triangles have presented this idea. When two triangles resemble one another.

Think about the triangle ΔABC in the given illustration. A line PQ connecting the sides AB and AC of P and Q in this triangle is drawn parallel to the side BC of the triangle.

AP/PB = AQ/QC

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The value of function, f(t) for L⁻¹ ( e−s /(s²+ 1)) is equals to sin( t - π ) u(t-π) .

The Laplace transform is the essential term of the given derivative function. Moreover, it comes with a real variable (t) for converting into complex function with variable (s). For ‘t’ ≥ 0, let ‘f(t)’ be given, the Laplace transform of ‘f(t)’, denoted by 'L{f(t)}' or ‘F(s)’ is definable with the equation:

[tex] L(f(t)) = F(s) = ₀∫^{ \infty } e⁻ˢᵗ f(t)dt[/tex]

we have L⁻¹ ( e−s /(s²+ 1))

Now, L⁻¹ (1 /(s²+ 1)) = sin(t)

so, L⁻¹ ( e−s /(s²+ 1)) = sin( t - π ) u(t-π)

where u(t-π) is unit of step function.

so, required function f(t) is sin( t - π ) u(t-π).

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Complete question:

Find f(t) ℒ−1 (e−s /(s²+ 1))

f(t)=? + (?) (t - ?)

A three-variable system is a system of equations or inequalities involving three variables.

The three variables could refer to any three related quantities, such as a person's age, height, and weight. In a three-variable system, the number of equations is equal to the number of variables, so three equations are needed to solve the system. Each equation in the system will involve all three variables and will be solved through a combination of algebraic manipulation, substitution, and elimination techniques. Once all three equations have been solved, the values of the variables can be found.

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The probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded is 1/22.

The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out.

The outcome of an event may be known to us or unknown to us. When this happens, we indicate that there is a probability that the event will happen or not.

It is also defined as the ratio of the number of favorable outcomes to the total number of outcomes.

The formula for the probability of an event is given by

P(E) = No of favorable outcomes/ Total No of outcomes ]

Here we have

A basket of fruit contains 4 bananas, 3 apples, and 5 oranges.

Total number of fruits = 4 + 3 + 5 = 12

By the given formula,

Probability of selecting 1 banana = 4/12 = 1/3

Probability of selecting 1 apple = 3/12 = 1/4

Probability of selecting 1 orange = 5/12

The order of the fruits that is given is 1 banana, then 1 apple, then 1 orange

Let's assume that,

We taken 1 banana

=> The probability of selecting one banana = 1/3

After taking one banana, remaining fruits = 12 - 1 = 11

Now we have drawn 1 apple

=> The probability of selecting one apple in 11 fruits = 3/11

After taking one apple remaining fruits = 11 - 1 = 10

=> The probability of selecting one orange from 10 fruits = 5/10 = 1/2

From the above calculations,

The probability of selecting in given order = (1/3)(3/11)(1/2) = 3/66 = 1/22

Therefore,

The probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded is 1/22.

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The number of students expected to prefer cheese pizza from the 340 students is 200 stduents.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Cheese pizza = 40 students

Pepperoni pizza = 28

The ratio of cheese and Pepperoni pizzas.

= 40:28

= 10:7

Now,

Cheese pizza = 10x

Pepperoni pizza = 7x

The number of expected students who prefer cheese pizza.

= (10x)/(17x) x 340

= 10/17 x 340

= 10 x 20

= 200

Thus,

The number of expected students preferring cheese pizza is 200.

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The graph of the inverse variation equation is called a rectangular hyperbola.

A form of proportionality called inverse variation occurs when one number falls as the other rises or the other way around. This suggests that if one number rises while the other decreases, the magnitude or absolute value of the first quantity will decrease, resulting in a constant product. The constant of proportionality is another name for this item.

An inverse variation is a relationship between two variables in which the product is constant; as a result, while one of the variables changes, the other changes correspondingly to maintain the same value of the product. This connection has the form of a hyperbola.

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Therefore , the solution of the given problem of triangle comes out to be  the equilateral triangle are is 62.28 cm².

In geometry, triangular polygons are ones that have three vertices and a right side. This object in two dimensions has three straight sides. Triangles are examples of three-sided polygons. The sum of a triangle's three angles is 180 degrees. The triangle lies on one plane.

Here,

Given : side = 12cm

Area of an equilateral triangle

=> √3/4 * side²

Side of triangle =12 cm

Area of an equilateral triangle

= >  √3/4 * 12²

=>√3/4 * 12*12

=> 62.28 cm²

Therefore , the solution of the given problem of triangle comes out to be  the equilateral triangle are is 62.28 cm².

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Answer:

Yes

Step-by-step explanation:

If there was 200 hundred dollars just subtract 50 dollars if there is still money then yes.

Answer: yes

Step-by-step explanation:

200-50=159

Answer:

B) -9 + 4 2/3

Explanation:

The answer is B because -9 - (-4 1/3) is -4 2/3 which is equal to -14/3, so that means B also has the same sum.

I hope this helps you! :)

Answer:

c) m <2 =m <3

Step-by-step explanation:

since the angles 2 and 3 are equal then they should be alternate angles

then c and d are parallel lines

need pointz

Step-by-step explanation:

Really sorry, misunderstood the equation. This is the answer though.

Answer:

24

Step-by-step explanation:

We have our function g(x) = [tex]x^{3}[/tex] - x

Now, we will substitute 3 in for x, giving us:

[tex]3^{3} - 3[/tex]

Now, we will simplify our exponent, giving us:

27 - 3 = 24

So your answer is 24.

Hope this helped!

Using properties of operations, the expression is 3(c-4)= 3c-12.

What are the properties of operations?

Now, we are given the expression 3(c-4)

Using the properties of operation,

3(c-4)= (3*c)-(3*4)

= 3c-12

Hence, the equivalent expressions are 3(c-4)=3c-12.

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Question- Use properties of operations to complete the equivalent expressions. 3(c−4)=​___c−​___