Which set of ordered pairs (x,y)(x,y) could represent a linear function? \mathbf{A}= A= \,\,\left\{(-4, 2),\,\,(-2, 3),\,\,(2, 5),\,\,(4, 6)\right\} {(−4,2),(−2,3),(2,5),(4,6)} \mathbf{B}= B= \,\,\left\{(1, 2),\,\,(3, 4),\,\,(5, 6),\,\,(6, 8)\right\} {(1,2),(3,4),(5,6),(6,8)} \mathbf{C}= C= \,\,\left\{(-1, -1),\,\,(0, 2),\,\,(1, 4),\,\,(2, 6)\right\} {(−1,−1),(0,2),(1,4),(2,6)} \mathbf{D}= D= \,\,\left\{(2, 9),\,\,(4, 6),\,\,(5, 3),\,\,(6, 0)\right\} {(2,9),(4,6),(5,3),(6,0)}

The value 0.9375 as a fraction is 15/16 .

In mathematics, fractions are defined as part of a whole. A whole can be an object or a group of objects. In real life, if you cut a pie out of the whole pie, that piece becomes part of the pie. Fractions are words of Latin origin. "Fractus" means "broken" in Latin. In ancient times, rest was expressed in words. Later it was introduced in numerical form.

Fractions are also called parts or sections of any quantity. Represented by the symbol '/'. Bachelor/Bachelor For example, 2/4 is the numerator above and the fraction below the denominator. In this article, you will learn the definition of fractions in mathematics, types of fractions, how to convert fractions to decimals, and many solved examples and full explanations

to convert in fraction we will muliply and devide by 100.

0.9375*100/100 = 15/16

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Answer:

The polygon has 13 sides.

Step-by-step explanation:

The sum of the interior angles of a polygon is (n - 2) * 180, where n is the number of sides. This formula can be set equal to the sum of the interior angles to determine how many sides it has.

(n - 2) * 180 = 1980

180n - 360 = 1980

180n = 2340

n = 13

hese two equations can be used to solve for the values of c and m.

Let's define:

c = the number of commercials on which Nakeisha's songs were played

m = the number of movies on which Nakeisha's songs were played

Based on the problem statement, we can set up the following system of equations:

Nakeisha's songs were played on 2 more commercials than movies:

c = m + 2

Nakeisha's total earnings on the royalties from all commercials and movies was $760:

30c + 110m = 760

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Calculus convergence tests are methods used to determine whether an infinite series converges or diverges.

An infinite series is a sum of infinite terms, such as 1/2 + 1/4 + 1/8 + 1/16 +...

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An ellipse's form is determined by two locations inside the ellipse known as its foci.

The lengths of the main and minor axes of an ellipse may be used to calculate its foci.

The foci of an ellipse may be calculated using a variety of online calculators.

These calculators normally ask the user to enter the main and minor ellipse axes' lengths before calculating the foci's coordinates. Depending on the calculator in question, some may additionally ask for more details like the ellipse's eccentricity or center of rotation.

Understanding an ellipse's shape and characteristics requires knowing its foci since they are what characterize an ellipse.

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The measure of the arc ADB is 253 degrees. This means that the correct option is option C.

In the given diagram, we can clearly see that -

Using the rules of symmetry, we can conclude that,

∠AOD = ∠BOC

and similarly,

∠AOB = ∠DOC

Also since we know that -

∠AOD+∠DOC=180°

We can write - 2∠AOD+2∠DOC=360°

In the question here, it is given that the angle ∠AOD=73°

So, using the value of the angle AOD, we can calculate that -

= 2(73°) + 2∠DOC=360°

= 146° + 2∠DOC=360°

= 2∠DOC=360°-146°

= 2∠DOC=214°

= ∠DOC=107°

And

∠ADB=2∠A0D+∠DOC

=∠ADB=146°+107°

=∠ADB=253°

Hence, option C is the correct option.

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Answer: the answer is C 253°

Step-by-step explanation: see below.

The correct inequality is the one in option A.

2x – 3 > 7 + 8

Here we know that:

"Three less than twice a number (x) is greater than the sum of seven and eight."

The first part:

"Three less than twice a number (x)"

Is written as:

2x - 3

The last part "... is greater than the sum of seven and eight."

Would be:

2x - 3 > 7 + 8

So that is the correct inequality, then the correct option is A.

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A two-sample t-test is a statistical test used to determine if there is a significant difference between the means of two independent groups or populations.

In research and experimental investigations, the two-sample t-test is frequently used to assess if there is a statistically significant difference between the mean values of two samples or groups.

The average test results of two separate student groups, for instance, may be compared by a researcher to see if one group performs noticeably better than the other.

The two-sample t-test makes the assumption that the two samples are independent, have nearly normal distributions, and have identical variances.

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Answer:

20%

Step-by-step explanation:

10 of 50 can be written as:1050To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 1001050 × 100100= (10 × 10050) × 1100 = 20100 Therefore, the answer is 20%

The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y=-5/3x-2.

Given that the line passes through the point (-6,8) and has a slope of -5/3.

We are required to find the equation of the line whose description is given.

Equation is basically the relationship between two or more variables that are expressed in equal to form. It may be linear equation, quadratic equation or cubic equation. Slope intercept form in the equation be y=mx+c.

We have been given slope be -5/3.

y=mx+c--------------1

Put m=-5/3 in equation 1.

y=-5/3x+c------------2

Put (-6,8) in equation 2.

8=-5/3 *(-6)+c

8=-5*(-2)+c

8=10+c

c=-2

Use the value of c in equation 2.

y=-5/3x-2

Hence the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y=-5/3x-2.

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Answer:

A. 39°

Step-by-step explanation:

Adjacent angles on a straight line is equal to 180°

Vertical opposite angles are equal to each other

90° + 51° + x = 180°

141° + x° = 180°

x° = 180° - 141°

x° = 39°

Answer:

20

Step-by-step explanation:

If 50% of machines are washing machines and there are 10, then add 10 again to get 100% of the total machines

The value of millimeter in elevation can be calculated by simply dividing the millimeter by25.4 so 10 mm is0.394 elevation.

The process of rephrasing measures of a given volume between different units, constantly using multiplicative conversion factors that change the value of the measured volume without changing its goods, is known as unit conversion.

Converting from millimetres to elevation

Between millimetres( mm) and elevation( in)

computation of elevation( dec) in elevation( frac) in bases plus Inches ft mm to elevation

* The value is rounded to the nearest1/64 bit for the elevation bit.

How to change metric units to elevation

elevation are equal to0.03937007874 millimetres in length

1 mm = (1/25.4) ″ = 0.03937007874 ″

The distance d in millimetres( mm) divided by25.4 gives the distance d in elevation( ′ ′)

d( ″) = d( mm)/25.4

illustration of 20 mm converted to elevation

d( ″) = 20 mm/25.4 = 0.7874 ″

How numerous millimetres are in one inch

elevation are equal to one millimetre

1 mm = to 1 mm/25.4 mm/ in

= 0.03937 in.

What's the millimetre to inch conversion

millimetres make up one inch.

1 inch Equals25.4 millimetres per inch.

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Answer:

Octagon.

Octa comes from the Greek word "okto", which means eight.

3x=108

and y= 54

by linear pair angle

The value of volume 750 ml after converting to cups is 3.17 cups.

The conversion is useful when you need to measure liquids in cups instead of milliliters, especially if you are following a recipe that is written in cups instead of milliliters.

To convert 750ml to cups, you need to know that one cup is equal to 236.6ml. Knowing how to make the conversion can help you get the right measurements and produce accurate results in your cooking or baking. To do the conversion, divide 750 by 236.6 to get the answer in cups.

So, 750ml / 236.6ml per cup = 3.17 cups (rounded to the nearest hundredth).

Therefore, volume of 750ml is equivalent to 3.17 cups.

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The amount in the account after 10 years is $4,978.365.

Interest is the sum of money that must be repaid on a loan or received in exchange for a loan. Principle refers to the borrowed or lent funds. The Amount is the total of the principal plus interest. The term "rate of interest" refers to the rate at which interest is applied to the principal.

Given:

P= $450

R= 2.225%

n= 10

So, Amount = d [[tex](1+i)^n[/tex] - 1 ] / i

A = 450 x [[tex](1+0.02225)^{10[/tex] - 1 ] / 0.02225

A = 450 x (1.24615249763-1) / 0.02225

A = 450 x 0.24615249763/ 0.02225

A = 4,978.365

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The scale factor of the preimage to the image is 5/2

The length of BC is 10 units

The scale factor is the size by which the shape is enlarged or reduced. It is used to increase the size of shapes like circles, triangles, squares, rectangles, etc.

The scale factor of the preimage to the image can be found by finding the ratio of the corresponding sides of the preimage to the image. That is:

scale factor = DC / D'C'

scale factor = 5/2

Also, the scale factor = BC / B'C' and the scale factor is constant (i.e. 5/2)

scale factor = BC / B'C'

5/2 = BC/4

BC = 5/2 * 4

BC = 10 units

Therefore, the length of BC is 10 units

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The number of students who travel to school by bus will be equal to 651. Hence, option "a" is correct.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

here, we have,

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the information given in the question,

Total students in the school = 1860

Percentage of students who come by bike or walk = 45%

So,

(1860 × 45)/100 = 837

Number of students who drive to school = 372

So, the number of students traveling by school bus will be,

1860 - (837 + 372).

= 1860 - 1209

= 651

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Answer:

Step-by-step explanation:

The strength of a linear relationship between two variables is typically measured by the correlation coefficient (r) or the coefficient of determination (r^2). A value of r or r^2 closer to 1 indicates a stronger positive linear relationship, whereas a value closer to -1 indicates a stronger negative linear relationship. A value of r or r^2 closer to 0 indicates a weaker or no linear relationship.

Looking at the given regression equations and their correlation coefficients, the regression with the weakest linear relationship between x and y is Regression 3:

Regression 1: y = -5.8x - 6.5, r = -0.7621

Regression 2: y = 2.4x - 14.7, r = 0.809

Regression 3: y = -7.4x - 17.4, r = -0.233

Regression 4: y = -3.4x - 8.5, r = -0.6121

Regression 3 has the lowest absolute value of r (0.233), indicating the weakest or no linear relationship between x and y. Therefore, Regression 3 represents the weakest linear relationship between x and y among the given options.

Δ ABP ~ Δ QPB  ~ Δ BCQ by AA rule.

Similar triangles are the triangles that look similar to each other but their sizes might not be exactly the same.

Given that, in a figure, AB ║ PQ, AP ║ BQ and BP ║ CQ,

We need to prove, Δ ABP ~ Δ QPB  ~ Δ BCQ

The proof is as follows :-

        Statements                                                              Reasons

1) AB ║ PQ, AP ║ BQ, BP ║ CQ,                                        Given

2) ∠ ABP ≅ ∠ BCQ and ∠ BAP ≅ ∠ CBQ            corresponding angles

3) ∠ ABP ≅ ∠ QPB and ∠ CBQ ≅ ∠ PQB           alternate interior angles

4) ∠ ABP ≅ ∠ BCQ ≅ ∠ QPB and

∠ BAP ≅ ∠ CBQ ≅ ∠ PQB                                       Transitive property

5) Δ ABP ~ Δ QPB  ~ Δ BCQ                                          By AA rule

Hence, proved

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the area of the inner cylinder is 2π(e^8/2)ln 8 and the area of the outer cylinder is 2πln 8e^8. The volume is then equal to the integral of the area of the cylindrical

Disk/washer method:

[tex]V = π ∫[ln 8]^8 (e^x)^2 dx\\V = π ∫[ln 8]^8 e^2x dx\\V = π(e^2x/2)|[ln 8]^8\\V = π(e^16 - (e^2(ln 8))^8)/2\\V = (π(e^16 - 64)/2)[/tex]

Cylindrical shells method:

[tex]V = 2π ∫[ln 8]^8 x(e^x) dx\\V = 2π ∫[ln 8]^8 xe^x dx\\V = 2π(x(e^x/2) - (e^x/2)ln x)|[ln 8]^8\\V = 2π((ln 8)(e^8 - 8) - (e^8/2)ln 8)\\V = (2π(e^8 - 64ln 8 - 4e^8))/2\\V = (π(e^16 - 64 - 8e^8))/2[/tex]

The disk/washer method can be used to solve for the volume of the solid generated by revolving the given region about the line x = ln 8. This method involves integrating the area of a ring, which can be formed by subtracting the area of a disk from the area of the washer. In this case, the area of the disk is π(e^2(ln 8))^8 and the area of the washer is π(e^16). The volume is then equal to the integral of the area of the ring, which is π(e^16 - (e^2(ln 8))^8).

The cylindrical shells method can also be used to find the volume of the solid generated by revolving the given region about the line x = ln 8. This method involves integrating the  of a cylindrical shell, which can be formed by subtracting the area of the inner cylinder from the area of the outer cylinder. In this case, the area of the inner cylinder is 2π(e^8/2)ln 8 and the area of the outer cylinder is 2πln 8e^8. The volume is then equal to the integral of the area of the cylindrical

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10 feet to meters can be find out by simply dividing the 10 feet by 3.081 so the  value will be 3.048 meters.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

One foot is equal to 0.3048 metres, or 3048/10000 metres. So, you multiply 10 by either 0.3048 or 3048/10000 to convert 10 feet to metres.

For the decimal answer, we use 0.3048, and for the fractional answer, we use 3048/10000. The math, formulas, and conversions from 10 feet to metres are shown below.

0.3048 metres divided by feet

10 feet = 3.048 metres, or 10 divided by 0.3048.

metres equal 3048/10000 feet.

10 × (3048/10000) = 3 6/125

10 feet equals 36/125 metres.

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Answer:The width of the rectangle is 1 unit

Step-by-step explanation:Let the length of the rectangle be x

let the breadth be x-5

Since ,area of rectangle=length*breadth

           area = x*(x-5)

           6=x^2-5x

           x^2-5x-6=0

solving the above equation,

x^2-(6x-x)-6=0

x^2-6x+x-6=0

x(x-6)+1(x-6)=0

(x-6)(x+1)=0

x=6 and x=-1

since the breadth cannot have negative value

Hence ,the breadth of rectangle is 1 unit

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The required, fourth term of the geometric sequence is 64.

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
We can use the formula for the nth term of a geometric sequence to solve the problem. The nth term of a geometric sequence with first term a and common ratio r is given by:

[tex]an = ar^(n-1)[/tex]

In this case, the first term is 14 and the common ratio is 2. So the nth term is:

[tex]an = 14*2^{n-1}\\[/tex]

So

[tex]14(2^{n-1}) = 64\\2^{n-1} = 64/14 = 32/7[/tex]

To solve for n, we can take the logarithm of both sides of the equation. We can use any base for the logarithm, but it's usually convenient to use base 2 since the equation involves powers of 2. So

[tex]log_2(2^{n-1}) = log_2(32/7)\\(n-1) = log_2(32/7)\\n = log_2(32/7) + 1[/tex]

Using a calculator, we can approximate log_2(32/7) as 2.665. So:

n = 2.665 + 1

n ≈ 3.665

Since n must be a whole number (we're looking for a specific term of the sequence), we can round up to the nearest integer to get:

n = 4

Therefore, the fourth term of the sequence is 64.

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All the three statements given in the question are valid.

(a) Two real numbers satisfy a^2 < b^2 if and only if |a| < |b|. This is a valid statement, and the justification follows from the fact that the square of any real number is non-negative, i.e., a^2 ≥ 0 and b^2 ≥ 0, and if a^2 < b^2, then taking square roots of both sides yields |a| < |b|.

(b) Two real numbers satisfy a^2 > b^2 if and only if |a| > |b|. This is also a valid statement, and the justification follows from the fact that the square of any non-zero real number is positive, i.e., a^2 > 0 and b^2 > 0, and if a^2 > b^2, then taking square roots of both sides yields |a| > |b|.

(c) Two real numbers satisfy if and only if |a| ≤ |b|. This statement is also valid, and the justification follows from the fact that the square of any real number is non-negative, i.e., a^2 ≥ 0 and b^2 ≥ 0, and if a^2 ≤ b^2, then taking square roots of both sides yields |a| ≤ |b|.

Therefore, all three statements are valid.

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The equations that could be solved to determine Sylvie's hourly earnings are

110 - 16 = 10h

110 = 16 + 10h

The correct options are the first and fourth options

From the question, we are to determine the equation that could be solved to determine Sylvie's hourly earnings

The equation that represent the total amount Sylvie needs to earn more is

$110 - $16 = $94

and the total number of hours she will work is 10 hours,

Then,

The equation for her hourly earning's, h, is

10 × h = $96

Thus, we can write that

10h = 96

OR

10h = 110 - 16

We will find the equations that are equivalent to this.

The equation that are equivalent to the above equations are

110 - 16 = 10h

110 = 16 + 10h

Hence, the equations are

110 - 16 = 10h

110 = 16 + 10h

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The correct answer is option C. f(x) = x(x - 1)(x - 2)(x + 1)(x + 2)

Explanation:

To determine the correct answer, we need to look at the zeros of the given functions and compare them to the zeros shown on the graph. The zeros of a function are the values of x that make the function equal to zero. These are also the points where the graph of the function crosses the x-axis.

Option A: f(t) = (x - 1)(x - 2)(x + 1)(x + 2)
The zeros of this function are x = 1, x = 2, x = -1, and x = -2.

Option B: f(x) = x(x - 1)(x + 1)
The zeros of this function are x = 0, x = 1, and x = -1.

Option C: f(x) = x(x - 1)(x - 2)(x + 1)(x + 2)
The zeros of this function are x = 0, x = 1, x = 2, x = -1, and x = -2.

Option D: f(r) = x(x - 1)(x - 2)
The zeros of this function are x = 0, x = 1, and x = 2.

Comparing the zeros of these functions to the zeros shown on the graph, we can see that option C is the correct answer. The graph shows zeros at x = 0, x = 1, x = 2, x = -1, and x = -2, which are the same zeros as the function f(x) = x(x - 1)(x - 2)(x + 1)(x + 2).

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By the current exchange rate for Japanese Yen to US Dollar , 1500 Yen is equivalent to 11.187  USD .

In order to convert 1500 YEN to USD, we need the current exchange rate between the "Japanese Yen" and the "US Dollar" .

The exchange rate varies constantly due to fluctuations in the global financial markets ,

According to the current exchange rate of 1 US Dollar = 134.08 Japanese Yen  ,

We convert 1500 yen to USD by dividing 1500 by 134.08  ;

⇒ 1500/134.08 = 11.187 USD ;

Therefore, 1500 Japanese yen is approximately equal to 11.187 US Dollars .

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