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The system of linear equation has infinitely number of solutions

The collection of all ordered pairs that concurrently fulfill both equations makes up the graph of a system of linear equations. It is the collection of all points that are the solutions to both equations, in other words.

The system of linear equations in this issue is stated as

y = 1/2x + 3...eq(i)

2y = x + 6...eq (ii)

The graph demonstrates that the system has an infinite number of solutions and that both lines cross one another. This demonstrates that the system is intractable.

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The answer to the given problem can be stated as, "The quadrilateral is most specifically a square because all of its sides are equal and angles are right angle."

A square is type of rectangle of which all sides are equal.

The diagonals of a square are perpendicular bisector of each other.

The given diagram of the quadrilateral clearly shows the following information,

All the angles of the quadrilateral are equal to right angle,

And, all of its sides are equal.

The given information matches with the property of a square which implies that the given quadrilateral is a square.

Hence, the given quadrilateral is a square.

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Answer:

Step-by-step explanation:

We need to identify the quadrilaterals given in the question.

For first image , we can see that;

These are the properties of rhombus in which all sides and opposite angles are equal.

Hence in the first image quadrilateral is a " Rhombus" .

[tex]\rule{200}2[/tex]

In the second image , the most appropriate option is all sides are equal , as in rhombus all sides are congruent.

Answer:I’ll give more points!! A

Step-by-step explanation:I’ll give more points!! A

C

Find the mAB

The solution to the system of equations is (1/2, 5).

The elimination method involves manipulating these equations to eliminate one of the variables. This is done by multiplying one or both of the equations by a constant so that the coefficients of one of the variables are equal in both equations, but with opposite signs. The equations are then added or subtracted, depending on the signs, to eliminate one of the variables.

To solve the system of equations by elimination, we can follow these steps:

Multiply the first equation by 2 to get rid of the y-term:

16x + 14y = 78

Add the second equation to the new equation to eliminate the y-terms:

16x + 14y + 4x - 14y = 78 - 68

20x = 10

Solve for x:

x = 1/2

Substitute x = 1/2 into the first equation to solve for y:

8(1/2) + 7y = 39

4 + 7y = 39

7y = 35

y = 5

Check the solution by substituting both x = 1/2 and y = 5 into both original equations:

8(1/2) + 7(5) = 39 (true)

4(1/2) - 14(5) = -68 (true)

Therefore, the solution to the system of equations is (1/2, 5).

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The value of f(g(2)) from the given table is -6.

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. Expressions of well-known functions can be found in many frequently used mathematical formulas. For instance, the calculation for a circle's area

Given that,

x –5 –4 –1 2 4 7

f (x) 0 2 7 –1 –6 –4

g(x) –8 –1 2 4 7 1

The value of g(2) = 4

The value of f(g(2)) = f(4) = -6

Hence, the value of f(g(2)) from the given table is -6.

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Answer:

we can estimate that about 7632 people in the city have visited the city's community garden.

Step-by-step explanation:

You can use a proportion to estimate the number of people in the city who have visited the city's community garden. The proportion is:

(Number of people in the city who have visited the community garden) / (Total number of people in the city) = (Number of people in the sample who have visited the community garden) / (Total number of people in the sample)

We can plug in the values given in the problem to get:

(x) / (14200) = (43) / (80)

To solve for x, we can cross-multiply and simplify:

80x = 14200 * 43

x = (14200 * 43) / 80

x ≈ 7632

Therefore, we can estimate that about 7632 people in the city have visited the city's community garden.

Answer:

(-3,-2,2,3}

that is the answer

Answer:

To find the mean of a set of data, we need to sum up all the values in the set and divide by the number of values.

Sum of the data values = 19 + 23 + 35 + 41 + 42 = 160

Number of data values = 5

Mean = Sum of data values / Number of data values = 160 / 5 = 32

However, we are given that the mean is 36. Since the calculated mean is lower than the given mean, it means that we are missing a value that is higher than the other values in the set.

Let's call this missing value x. Then, we have:

(19 + 23 + 35 + 41 + 42 + x) / 6 = 36

Multiplying both sides by 6, we get:

19 + 23 + 35 + 41 + 42 + x = 216

Simplifying the left-hand side, we get:

160 + x = 216

Subtracting 160 from both sides, we get:

x = 56

Therefore, the missing value is 56, and the complete data set is:

19, 23, 35, 41, 42, 56

Now, we can calculate the mean as:

Mean = (19 + 23 + 35 + 41 + 42 + 56) / 6 = 216 / 6 = 36

So, the mean of the data values is indeed 36.

Answer:

32

Step-by-step explanation:

To find the mean of a set of numbers, we add up all the numbers and then divide by the total number of values.

Adding up the values:

19 + 23 + 35 + 41 + 42 = 160

We have a total of 5 values, so we divide the sum by 5:

160 / 5 = 32

Therefore, the mean of the given data values is 32, not 36.

There are 484 times more red blood cells than white blood cells in a cubic millimeter of blood.

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

Given, A lab technician draws a sample of blood.

A cubic millimeter of blood contains 22⁵ red blood cells and 22³ white blood cells.

The number of red blood cells in a cubic millimeter of blood is 22⁵,

and the number of white blood cells in the same volume is 22³.

To find out how many times more red blood cells there are than white blood cells, we need to divide the number of red blood cells by the number of white blood cells:

22⁵ / 22³ = 22⁵⁻³ = 22² = 484

Therefore, there are 484 times more red blood cells than white blood cells in a cubic millimeter of blood.

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Tge coordinates of point c is - 3 and 1

Answer: The fourth vertex is D(8, 0)

The recursive formula model to represent this situation is L(n) = L(n-1) + 5 where you can swim 15 laps every day.

A recursive formula is a formula that defines a sequence in terms of one or more of its preceding terms. In other words, it is a way to generate the terms of a sequence using the previous terms of the same sequence.

        L(n) = L(n-1) + 5

        where

        L(n-1) represents the number of laps swum in the previous week.

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A parallelogram has two pairs of equal angle.

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. The Sum of all the interior angles equals 360 degrees.

The properties of a parallelogram are as follows: The opposite sides are parallel and equal. The opposite angles are equal.

A parallelogram has two pairs of equal sides.

It has two pairs of equal angles.

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Answer:

1.2 mi/hr

Step-by-step explanation:

y=12/x
y=12/10
y=1.2 mi/hr

Answer:

[tex]\huge\boxed{\sf y = 1.2 \ mph}[/tex]

Step-by-step explanation:

[tex]\displaystyle y=\frac{12}{x}[/tex]

Given that, x = 10

So,

[tex]\displaystyle y=\frac{12}{10} \\\\y = 1.2 \ mph\\\\\rule[225]{225}{2}[/tex]

Answer:

Let's use algebra to solve this problem:

Let's use the variable "m" to represent the number of markers that Martin has.

We know that Hiro has 4 fewer highlighters than Martin, so we can set up an equation:

18 = m - 4

This equation says that the number of markers Martin has (m) minus 4 is equal to the number of highlighters that Hiro has (18).

To solve for "m", we can add 4 to both sides of the equation:

18 + 4 = m

Simplifying this gives us:

22 = m

So Martin has 22 markers.

Answer:

-7 and -1

Step-by-step explanation:

Remember, a negative times a negative equals a positive

In response to the given question, we have that The baseball takes 3 function seconds to reach its highest point as a result.

Mathematicians research numbers, their variants, equations, associated structures, forms, and possible configurations of these. The word "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is a connection between inputs and outputs where each input results in a single, distinct outcome. Each function has a domain, codomain, or scope assigned to it. Functions are usually denoted by the letter f. (x). An x is entered. On functions, one-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.

The formula for the height of the baseball is [tex]h(t) = -4.9t2 + 29.4t + 1.[/tex]

A = -4.9 and B = 29.4 in this instance. The vertex's x-coordinate is as follows:

[tex]x = -b/2a = -29.4/(2*(-4.9)) = 3[/tex]

We need to assess h(3) in order to determine the maximum height:

[tex]h(3) = -4.9(3)^2 + 29.4(3) + 1 = 44.1[/tex]

Hence, the baseball may reach a height of up to 44.1 metres.

The x-coordinate of the vertex, which we discovered to be 3, may be used to determine how long it takes the baseball to reach its maximum height. The baseball takes 3 seconds to reach its highest point as a result.

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[tex]112 : ( 3 + 5 + 6)= 112 : 14 = 8[/tex]

basketballs = 8(5) = 40

soccer balls = 8(3) = 24

→ basketballs - soccer balls = 40 - 24 = 16

The probability that the next person will purchase no costume is 80%.

What is the difference between a probability and an odds?

The possibility of an event occurring can be expressed using odds and probability, but they are computed and understood in different ways.

Probability, which is stated as a number between 0 and 1 (or between 0% and 100%), is the possibility that an event will occur. By dividing the number of positive possibilities by the total number of potential outcomes, the probability of an event happening is determined.

The possibility of an event happening is expressed differently by odds, which are expressed as a ratio of the number of favourable events to the number of negative outcomes. It is possible to state odds as "odds for" or "odds against."

Now,

The total number of visitors who purchased costumes is:

71 (exactly one) + 12 (more than one) = 83

The total number of visitors who did not purchase a costume is: 349

The probability that the next person will purchase no costume is:

349 / (349 + 83) = 349 / 432 ≈ 0.8079

Hence, the probability that the next person will purchase no costume is 80%.

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Answer:

We can solve this integral using the u-substitution method.

Let u = 3x, then du/dx = 3 and dx = du/3.

Substituting these values, we get:

∫2x * 2/3x dx = ∫4/3 du

Integrating, we get:

= (4/3)u + C

Substituting back u = 3x, we get:

= (4/3)(3x) + C

= 4x + C

Therefore, the solution to the integral ∫2x * 2/3x dx is 4x + C.

Yes, 5x=7y is a linear equatiοn.

First οrder equatiοns include linear equatiοns. In the cοοrdinate system, the linear equatiοns are defined fοr lines. A linear equatiοn in οne variable is οne in which there is a hοmοgeneοus variable οf degree 1 (i.e., οnly οne variable). Multiple variables may be present in a linear equatiοn. Linear equatiοns in twο variables, fοr example, are used when a linear equatiοn cοntains twο variables.

Linear equatiοn is an algebraic equatiοn in οne οr mοre variables where the pοwer οf each variable is less than οr equal tο 1.

Fοr example,

y = mx + c , an equatiοn in this fοrm can be called as linear equatiοn.

Sο in equatiοn 5x = 7y

We can write this equatiοn as 7y = 5x + 0.

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The solution of the given equation -4(n+5)=-32 is n=3.

What is equations ?

An equation is a mathematical statement that shows that two expressions are equal. It contains an equals sign (=) between two expressions. The expressions on both sides of the equals sign have the same value. Equations are used to solve problems in mathematics and science.

To solve the equation, we need to isolate the variable n.

-4(n+5) = -32

Distribute -4 on the left side of the equation:

-4n - 20 = -32

Add 20 to both sides of the equation:

-4n = -12

Divide both sides by -4:

n = 3

Therefore, the solution of the given equation -4(n+5)=-32 is n=3.

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According to the ratio , the three girls shares are R2000,R3000 and R7000.

What is ratio?

When two numbers are compared, the ratio between them shows how often the first number contains the second. As an illustration, the ratio of oranges to lemons in a dish of fruit is 8:6 if there are 8 oranges and 6 lemons present.

Here the given total share amount is R12000.

Now the ratio for three girls is 2:3:7.

Total = 2+3+7=12

Now the share amounts are,

=> [tex]\frac{2}{12}\times 12000[/tex] = [tex]2\times1000=R2000.\\[/tex]

=> [tex]\frac{3}{12}\times=3\times1000=R3000[/tex]

=> [tex]\frac{7}{12}\times12000=7\times1000=R7000[/tex]

Hence the three girls shares are R2000,R3000 and R7000.

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let's recall, the x,y pairs are just the cosine,sine pairs.

[tex]\stackrel{ \cos(315^o) ~~ \sin(315^o) }{\left( \cfrac{\sqrt{2}}{2}~~,~-\cfrac{\sqrt{2}}{2} \right)}\hspace{4.5em}\tan(315^o)\implies \cfrac{\sin(315^o)}{\cos(315^o)} \implies \cfrac{ ~~ -\cfrac{\sqrt{2}}{2} ~~ }{\cfrac{\sqrt{2}}{2}}\implies \text{\LARGE -1}[/tex]

Answer:

b

Step-by-step explanation:

Disjunctive Syllogism is the logical form of the given argument. Therefore, the correct option is option A.

An argument seems to be a statement or set of claims, known as premises, that seeks to assess the plausibility or acceptance of a conclusion. The logical, dialectical, and rhetorical perspectives are the three basic areas of study for arguments.

An argument in logic can be defined as a collection of propositions whereby a single one is tried to claim to follow the rest through deductively obtain reasonable that maintain truth from either the premises towards the conclusion. Disjunctive Syllogism is the logical form of the given argument.

Therefore, the correct option is option A.

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Answer:

A. After 3 years, the amount in the account will be $6730.40.

B. The interest earned will be $230.40.

Step-by-step explanation:

Answer:

The answer is $61.32

The smallest possible value of x+y+z such that 3^x+5^y+7^z is divisible by 105 is 11.

Natural numbers are a set of positive integers that are used for counting and ordering. In other words, natural numbers are the set of numbers that are used to represent the quantity of objects, such as 1, 2, 3, 4, 5, 6, and so on. Some definitions include zero as a natural number, while others define natural numbers to start from 1. In mathematics, natural numbers are denoted by the symbol "N" or "N+", and are sometimes referred to as counting numbers.

Whole numbers are a set of non-negative integers that include all natural numbers (positive integers) and zero. Whole numbers are used to represent quantities that cannot be divided into smaller parts, such as the number of people in a room, the number of apples in a basket, or the number of books on a shelf.

In the given question,

We know that 105 is a multiple of 3, 5, and 7. Therefore, if 3^x+5^y+7^z is divisible by 105, it must also be divisible by 3, 5, and 7.

If 3^x+5^y+7^z is divisible by 3, then 3^x ≡ 0 (mod 3), which means x ≥ 1.

If 3^x+5^y+7^z is divisible by 5, then 5^y ≡ 0 (mod 5), which means y ≥ 1.

If 3^x+5^y+7^z is divisible by 7, then 7^z ≡ 0 (mod 7), which means z ≥ 1.

Therefore, we have x+y+z ≥ 3.

We also know that 105 is the smallest multiple of 3, 5, and 7. Therefore, we want to find the smallest values of x, y, and z that will make 3^x+5^y+7^z divisible by 105.

If we want 3^x+5^y+7^z to be divisible by 105, we need x, y, and z to be multiples of 4, 4, and 3, respectively.

The smallest such values are x=4, y=4, and z=3. Therefore, the smallest possible value of x+y+z is 4+4+3=11.

So, the smallest possible value of x+y+z such that 3^x+5^y+7^z is divisible by 105 is 11.

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