How do you find 2/3 of a number?.

The required five equation of linear equation are given below.

A linear equation is a mathematical condition of the structure y=mx+b. including just a steady and a first-request (straight) term, where m is the incline and b is the y-catch. At times, the above is known as a "direct condition of two factors," where y and x are the factors.

Five examples of linear equation,

1) 2x – 3 = 0

2) 2y = 8

3) m + 1 = 0

4) x/2 = 3

5) x + y = 2

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The central angle states the property of the center of the circle, So It is called the central angle.

What is a Central Angle?

The central angle is the angle that a circle's arc occupies in its center. The arms of the central angle are formed by the radius vectors. In other words, it's an angle whose vertex is the center of a circle and whose arms, which have the circle's two radii as their arms, cross at two separate positions. These two points make an arc when they are combined. The angle that this arc at the circle's center subtends is known as the central angle.

An arc's angle at the circle's center is twice as large as its angle at any other point along the circle's circumference. the angle subtended by the arc in the opposite segment of the circle is twice as large as the angle at the center of the circle.

Hence,

The central angle states the property of the center of the circle, So It is called the central angle.

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Answer:

One side length is 17. Because you square root 289 to figure out the side length.

Step-by-step explanation:

The area of a square is a side length * a side length

or l^2 = 289

sqrt or 289 = 17

Answer:

u + v = < - 9, - 7 >

Step-by-step explanation:

to sum u and v add the corresponding x and y components of the 2 vectors

u + v

= < - 8, - 5 > + < - 1, - 2 >

= < - 8 - 1, - 5 - 2 >

= < - 9, - 7 >

Random residual plots are not make sense because it should have a non linear curve, as the scatter plot is negative.

A chart that displays the values ​​of two variables along two axes. Each correlation is indicated by the placement of the resulting points.

A series of points plotted on the horizontal and vertical axes is called a scatterplot. Statistical scatterplots (called variables) are very important because they can show the extent, if any, of relationships between the values ​​of observed quantities or events. You can see that the scatterplot is a non-linear curve with negative points.

Therefore, since the scatterplot is negative, the residual plot is meaningless as it must have a non-linear curve.

your question is incomplete, but most probably your full question was

The relationship of miles per gallon of SUVs to weight is represented by the following scatter plot:

Brian created the following residual plot:

Does her residual plot make sense based on the scatter plot? Explain.

The random residual plot makes sense because the scatter plot appears to have a negative relationship.

The random residual plot does not make sense because it should have a linear relationship like the scatter plot.

The random residusl plot does not make sense because it should have a noninar curve, as the scatter plot is negative.

The random residual plot makes sense because the scatter plot appears to have a lines relationship.

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Answer:

£10

Step-by-step explanation:

3:4 is equal to 3/4 (three-quarters)

Paul gets 75%, and Brian gets 25%.

Paul gets £30.  30 is 3/4 of what number?

75/100 × x = 30

Multiply both sides by 100 and divide both sides by 75

x = 30 × 100/75

x = 30 x 1.33333333333

x= 40

£30 is 75% of £40

30/40 x 100 = 75%

10/40 x 100 = 25%

Brian gets £10

Answer:

......................................................d

There are two outliers in the given data and they are 3 and 30. Hence, option C is correct.

Two definitions are given for an arithmetic sequence. A "series where the variances in between every two succeeding terms are the same" is what it is. Each term in an algebraic expression is created by multiplying its previous term by a specified integer (either positive, negative, or zero).

As per the given information in the question,

The length of dolphins is given as:

3, 15, 30, 19, 11, 18, 17, 12

As we can see in this data every length is somewhere close to 20 but lengths 3 and 30 are not similar to others.

So, these two are outliers.

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The point, M, that is midway between P=(5,−8,−6) and Q=(-7,-2,-8) is

In geometry, the midpoint formula is an equation that determines the separation between two known coordinate locations at their halfway point.

The midway between the points P and Q is calculated using the method

Mid point = ((x₁ + x₂)/2, (y₁ + y₂)/2, (z₁ + z₂)/2)

Applying the method to the given points gives

P = (5, −8, −6) and Q = (-7, -2, -8)

M = ((5 + -7)/2, (-8 + -2)/2, (-6 + -8)/2)

M = (-1, -5, -7)

The coordinates of point M (-1, -5, -7) is the mid way between point  P=(5,−8,−6) and Q=(-7,-2,-8).

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Answer: $548.25

Step-by-step explanation: 43 x $8.50 = 365.5 x 1.5 = $548.25

The value under the radical is 8

How many times you should multiply a number depends on its power. Exponents and indices are other names for powers. For instance, 82 may also be referred to as "8 to the power 2," "8 to the second power," or just "8 squared."

Exponents and powers can be used to represent extremely large or extremely small numbers in a more straightforward way. To illustrate 3 x 3 x 3 x 3 in a straightforward manner, for instance, we could write it as 34, where 4 is the exponent and 3 is the base. It is said that the entire statement 34 has power.

Due to it,

1250^(3/4)

Having said that,

Since n is an integer number,

Greater than x is n.

actual number a

Therefore,

1250^(3/4)=5^(3) *((4)root(2)^3

1250^(3/4)=125 *((4)root(2)^3

Therefore, the value that is still below the radical is 8.

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The monthly finance charge is 63 cents.

Here we have to find the monthly finance charge.

The given data:

Average daily balance = $30

The daily periodic rate = 0.07%

The number of days in a cycle is 30.

The formula to find the finance charge:

Finance charge = APR balance × number of days in billing cycle / 365

As it is given a daily periodic rate this means that:

APR / 365 = 0.07%

                = 0.0007

Hence, putting the value in the formula we have:

Finance charge = 0.0007 × 30 × 30

                         = 0.63

As we know that $1 = 100 cents

So finance charge = 0.63 × 100

                               = 63 cents

Therefore the finance charge is 63 cents.

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The length of Stan's movie is 2 hours 25 minutes

The length of Talia's movie is 2 hours 55 minutes.

In order to determine the length of the movies, subtract the end time of the movie from the time the movie started.

Subtraction is the mathematical operation that is used to calculate the difference between two or more numbers. The sign that is used to represent subtraction is -.

Length of the movie = time the movie ended - time the movie started

Length of Stan's movie = 9:40 - 7:15 = 2 : 25 hours

Length of the Talia's movie = 10 : 10 - 7 : 15 = 2 : 55 hours

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Hence, the total distance traveled by the particle is 16 meters

The velocity function  for a particle moving along a line is given by u(t): 2t-4, for 0 < t < 6 (in seconds)

[tex]Distance(D) = \int\limits^a_b {u(t)} \, dt[/tex]

[tex]Distance(D) = \int\limits^6_0 {(2t-4)} \, dt[/tex]

In this time period velocity will be zero

So, u(t) = 0

2t-4=0

at t=2 seconds, velocity will be zero.

So,

[tex]Distance(D) = |\int\limits^2_0 {(2t-4)} \, dt| +| \int\limits^6_2 {(2t-4)} \, dt|[/tex]

[tex]Distance (D) = |[t^2-4t]\right\{{{2}\atop{0}}\right.|+|[t^2-4t]\right\{{{6}\atop{4}}\right.|[/tex]

[tex]Distance (D) = |[2^{2}-8-0+0]| + |[6^{2} -24-4^{2} +16]|[/tex]

[tex]Distance (D) = |4-8|+|36-24-16+16|[/tex]

[tex]Distance (D) = 4+12[/tex]

[tex]Distance (D) = 16 meters[/tex]

Hence, the total distance traveled by the particle is 16 meters

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Yes. A leg of a right triangle can indicate the distance that separates two vertical or horizontal points, and the hypotenuse can represent the distance between two non-vertical or non-horizontal points.

We can use this theorem to calculate the distances between two locations on a coordinate grid. Consider the following example using the points:

( 3, 4 ) and ( − 2, 1 )

We can see how to make a right triangle with the hypotenuse as that of the line connecting these two spots. A right angle is formed at the coordinates ( 3, 1), where the vertical line from ( 3, 4 ) and the horizontal line from ( 2, 1 ) intersect.

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To find the roots and multiplicity of a polynomial, we first need to find its factors.

To do this, we use the factoring method of our choice (such as the quadratic formula, factoring by grouping, etc.), and then we determine how many times each factor occurs. The roots of the polynomial are the factors that have a multiplicity of 1, and the multiplicity of a root is the number of times that it occurs as a factor.

A polynomial is an equation that can be written in the form:

ax² + bx + c = 0

where a, b, and c are real numbers and x is a variable. The roots of a polynomial are the values of x that make the equation true. The multiplicity of a root is the number of times that the root appears as a solution to the equation.

To find the roots of a polynomial, you can use the Quadratic Formula:

x = (-b +/- sqrt(b² - 4ac)) / (2a)

where a, b, and c are the coefficients of the equation. The +/- sign indicates that there are two roots, one with a positive sign and one with a negative sign.

The multiplicity of a root can be found by counting how many times the root appears as a solution to the equation. For example, if the root x = 2 appears twice as a solution, then the multiplicity of the root is 2.

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a. The equation for the line of best-fit is:

y = 8.52x + 11.7.

b. The correlation coefficient is of: 0.9987, hence there is a strong positive correlation between the variables.

To obtain the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.

The points in this problem are given on the table as follows:

(0, 12.2), (1, 19.1), (2, 29.4), (3, 37.3), (4, 45.7).

As we consider the input x as the number of years since 2011.

Then, using the calculator, the equation is given as follows:

y = 8.52x + 11.7.

Using a correlation coefficient calculator, the numeric value of the coefficient is of:

r = 0.9987.

Hence the correlation between the variables is classified as follows:

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The value of the unknown is 6

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

the expression -1 1/8 - 3/4 = -1 1/8 - ?/8 shows that

-3/4=-?/8

the LCM of the denominator of two fractions is 8

multiply both sides by 8

-3/4×8=-?/8×8

therefore,. -? = -3×2

?= 6

Therefore the value if the unknown is 6

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The fraction is expressed with a common denominator as - 15/ 8

A fraction is simply described as the part of a whole, element or number.

There are several types of fractions, which includes;

From the information given, we have  the fractions;

-1 1/8 - 3/4.

Convert the mixed fraction to improper fraction

- 9/ 8 - 3/4

Find the Lowest common multiple

-9 - 6  /8

Subtract the numerators

-15/ 8

Hence, the value of the expression is -15/8

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The coordinates of point $p$ along the directed line segment $ab$ is at the point (2.8, -1).

Step 1

To find the coordinates of P so that AP to PB is the given ratio, first look for the slope in rise over run form.

Then, determine the ratio by thinking of it as dividing into segments.

After, add the ratio (in fraction or in decimal) of the run to the x-coordinate and add the ratio (in fraction or in decimal) of the rise to the y-coordinate of the first point in the line segment.

Step 2

First, let us find the slope of the line through rise over run and do not simplify the slope:

[tex]m = \frac{rise}{run}\\ \\m = \frac{1-(-4)}{6-(-2)} \\\\= \frac{5}{8}[/tex]

Since the ratio is 3:2, we want to partition the entire segment into 5 parts with P located at 3\5 of the segment from point A. Therefore, we add 0.6 of the run to the x−coordinate and of the rise to the

y−coordinate:

rise=5⋅0.6=3               y=−4+3=−1

run=8⋅0.6=4.8             x=−2+4.8=2.8

Therefore, the point is at (2.8,−1).

Hence the answer is  the coordinates of point $p$ along the directed line segment $ab$ is at the point (2.8, -1).

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The standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x

Volume of the shipping container = Lengt * Breadth * Height

Given

Length = 4x² + 3x

Breadth = x² – 8

Height = 6x +15

Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)

( 4x² + 3x)( x² - 8)  = 4x⁴-32x²+3x³-24x

( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x

(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x

Collect like terms

( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x

Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x

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The first statement is always true.

If m ∠m = 64° then m ∠F = 64°.

What is isomorphic triangles?

If there is an isomorphism connecting the vertices of P and Q, and that isomorphism has the property that three vertices of P form a triangle in Tp if and only if the mapping of the three vertices in Q, then the triangulations of two simple polygons, Tp and Tq, are said to be isomorphic (or occasionally compatible).

Given: ΔDEF ≅ ΔJAM

As the triangles are isomorphic that means that each angle of the triangle are same.

⇒ ∠D = ∠J

∠E = ∠A

∠F = ∠M

Hence, If m ∠m = 64° then m ∠F = 64° is true.

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To prove that all positive integers less than 4 are prime numbers, we will use the method of exhaustive proof.

Proof by contradiction is a method that establishes the the validity of a proposition, by assuming the proposition to be false leads to a contradiction.

Trivial Proof implies that if q is true then p → q is true regardless of the

truth value of p.

Proof by Induction is a method for proving that a statement P(n) is true for every natural number n

Finally, Proof by exhaustion, also known as proof by cases, is a method of proof in which the statement to be proved is split into a finite number of cases, and each type is then checked to see if the proposition in question holds.

Here, as we can see, by definition, exhaustive proof will be most appropriate as we can easily split the statement into 3 cases, taking the integers 1, 2 and 3 in each.

Thus, we will use Exhaustive Proof.

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Answer:

V=HWL

54cm³

Step-by-step explanation:

V=HWL

∴V=9*2*3

V=54cm³

The values of r for which the shaded region will be greater than or equal to 12 square units is r ≥ 8

Given that,

We have to find the darkened region's area will be more than or equal to 12 square units for what values of r.

We can see a rectangle and a triangle in the given image.

The triangle is the part of the rectangle that is not coloured.

Thus;

Area of rectangle minus area of rectangle gives the area of the shaded area.

We know that formula for area of rectangle is;

Ar = length × width

Thus; Ar = 3 × r

Ar = 3r

Area of a triangle is;

At = ½ × base × height

At = ½ × r × 3

At = ½(3r)

Thus;

Area of shaded region = 3r - 1/2(3r)

Area of unshaded portion = 1.5r

We are informed that the unshaded area must have a minimum area of 12 and a maximum area of 12. Thus;

1.5r ≥ 12

r ≥ 12/1.5

r ≥ 8

Therefore, The values of r for which the shaded region will be greater than or equal to 12 square units is r ≥ 8

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The required weight of fido the labrador is 40 kilogram.

kilogram is the fundamental unit used to measure weight ans pound is used in UK to measure weight of any object.

As we have given in 10 kilogram, there are 22 pounds. So, one kilogram is equal to 2.2 pound.

We have to find the weight of fido the labrador in kilogram

here,weight in pound is 88

we know that one pound contain 1/2.2 kilogram

So, weight of 88 pound in kilogram = (88)1/2.2

weight in kilogram = 40 kilograms.

Hence, the required answer is 40 kilogram.

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Reject the null hypothesis, because the P-value is small (it's less than 1%) then confront Bill about his cheating play with someone else.

Fail to reject the null hypotheses, because the P-value is not small (it's more them 10%).

One of the most generally utilized p-values is 0.05. If the determined p-values end up being under 0.05, the invalid speculation is viewed as bogus, or invalidated (subsequently the name invalid theory). What's more, on the off chance that the worth is more prominent than 0.05, the invalid speculation is viewed as obvious.

That p-value is the likelihood that we'll obtain similar outcomes as the invalid speculation, and in our model, the edge for that likelihood is 0.05. So if the determined p-value is under 0.05, it really intends that there's exceptionally less probability that we'll come by similar outcomes as the invalid speculation. Also, in the event that the p-value is more than 0.05, the likelihood of obtaining similar outcomes as invalid speculation is exceptionally high, so we can believe the invalid speculation to be valid.

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The 3 phases of the agile life cycle:

The Continuous Delivery: Lean Life Cycle.

The Exploratory (Lean Startup) Life Cycle.

The Program Life Cycle for a Team of Teams.

What is the Agile cycle?

The systematic succession of phases that a product goes through as it develops from start to finish is known as the agile software development life cycle. Concept, conception, iteration, release, maintenance, and retirement are its six phases.

The systematic succession of phases that a product goes through as it develops from start to finish is known as the agile software development life cycle. Concept, conception, iteration, release, maintenance, and retirement are its six phases.

The project management approach a team decides on will have a small impact on the Agile life cycle. For instance, Scrum teams work in sprints, which are brief timeframes akin to iterations. They also have responsibilities that are precisely defined, like Scrum master. Kanban teams, on the other hand, operate more continuously and don't have set roles. Another illustration is Extreme Programming, where teams frequently work in shorter iterations and give engineering practices more attention.

Hence,

The 3 phases of the agile life cycle:

The Continuous Delivery: Lean Life Cycle.

The Exploratory (Lean Startup) Life Cycle.

The Program Life Cycle for a Team of Teams.

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Program in java ,

public int createLicenseNum(int customID){

      licenseNum = (100000 * customID) + licenseYear;  

      return (licenseNum);     }

createLicenseNum method takes customID as its parameter. The formula function :

licenseNum = (100000 * customID) + licenseYear;

100000  is multiplied to the customID and  the result is added  to the licenseYear and is assignedlicenseNum.

When the CreateLicenseNum function is invoked it computes and returns the value of licenseNum as:

licenseNum = (100000 * customID) + licenseYear;

                    = (100000 * 777) + 2014

                    = 77700000 + 2014

licenseNum = 77702014                                                                                                        

Output is:

Dog license: 77702014      

Function call JAVA:

public class CallDogLicense {

public static void main(String[] args) {

DogLicense dog1 = new DogLicense();

dog1.setYear(2014);

dog1.createLicenseNum(777);

System.out.println("Dog license: " + dog1.getLicenseNum()); //calls getLicenseNum to get the computed licenceNum value

return; } }

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Specialized language is language that is distinctive and pertinent to a particular industry.

Language that is relevant to and distinctive of an industry is referred to as specialised language.

They contend that it could only have occurred with the emergence of specific psychological skills, explaining why language is only found in humans.

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Applying the equation of the model, y = 123.1(1.069)^x:

a. 150.4 thousand students

b. 467.5 thousand students

In the above problem given, we are told that the equation that models the the number of college students who studied abroad each year is: y = 123.1(1.069)^x, where:

The number of students from a country in thousands is represented as y

The number of years after 1998 is represented as x in the equation.

We can apply the equation for this model to solve the given problem as explained below:

a. 1998 to 2001 is 3 years. x = 3. Therefore, substitute x = 3 into y = 123.1(1.069)^x:

y = 123.1(1.069)^3

y = 150.4

Therefore, the number of students that are studying abroad in 2001 is about: 150.4 thousand.

b. 1998 to 2018 is 20 years. x = 20, therefore, substitute x = 20 into y = 123.1(1.069)^x:

y = 123.1(1.069)^20

y = 467.5

Number of students studying abroad in 2018 (y) is therefore about 467.5 thousand.

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