Write a method that takes a Rectangle as a parameter, sets its length to a random, even integer between 10 and 20 inclusive, and sets its width to a random, odd integer greater than or equal to 7 and less than 14. Use Math.random() to generate random numbers.

This method must be called randomize() and it must take a Rectangle parameter.

You can call your method in the program's main method so you can test whether it works, but you must remove or comment out the main method before checking your code for a score. You will also need to make sure you do not remove the import statement "import testing.Math" as this is required to check your code for a score.

in java

The equation in general form or​ slope-intercept form: y =x/4+4.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

given that,

To find the equation of a line that passes through the point (8,6) and perpendicular to the equation 4x+y=39,

we will follow the steps below:

first write the equation 4x+y=39 in a standard form:

we will find the slope of our equation using this equation

4x+y=39

y=-4x+39

comparing the above with:

y = mx  + c

m = -4

now,

m_1.m_2 = -1  ( slope of perpendicular equations)

-4.m_2 = -1

m_2= 1/4

our slope m = 1/4

We can now go ahead and form our equation

x_1 =8 & y_1 =6

so, we get,

y-y_1 = m (x-x_1)

y-6 = 1/4(x-8)

solving, we get,

4y-24=x-8

y=x/4+4

Hence, The equation in general form or​ slope-intercept form: y =x/4+4.

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In mathematics, it should be noted that an area model is a rectangular diagram which is used to multiply and divide two numbers or expressions, in which the factors or the quotient and divisor define the length and width of the rectangle.

When solving problems involving multiplication and division in mathematics, an area model is a model or rectangular diagram where the length and width of the rectangle are determined by the factors or quotient and division.

You can calculate the area of a rectangle whose length is 48 units and width is 21 units by multiplying 48 by 21. In this case, this can be Illustrated in an area model.

Note that your information is incomplete and a overview was given.

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Answer:

3/4

Step-by-step explanation:

First, make the denominator of 1/2 equal to the denominator of 11/12. We know 2x6=12. So we must multiply the numerator of 1/2 (1) by 6. We would get the answer 6/12. We must now subtract the numerators. 11-6=5. That leaves us with 5/12+2/6. Now we must do the same to 2/6. 2x6=12. Then, 2x2=4. That leaves us with 5/12+4/12=9/12. Now to simplify, we must find a common divider. We know 9 can be divided by 3, and so can 12. 9/3=3. 12/3=4. Final answer is 3/4.

The best description for the roots is double root. Option A

We know that the discriminant is the value that can be able to tell us the nature of the roots that we have in the equation. The roots of the equation would tell us more about how the equation can be approached.

Now we have the equation; 2x^2 + 7x + 6 = 0

a = 2, b = 7, c = 6

Using the formula;

√b^2 - 4ac

√(7)^2 - (4 * 2 * 6)

√49 - 48

√1

= 1

The roots of the equation must be a double root as shown.

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Answer:

A 25 sided polygon or the mathematical name for it is an icosikaipentagon or a pentacosagon

Step-by-step explanation:

So you firstly do 180-165.6=14.4° we need to do this as each interior angle adds up to 180° and 14.4° would be the value of one exterior angle. For all shapes, the total of all the interior angles will add up to 360° so then you do 360° divided by 14.4°= 25. This means that it is a 25 sided shape.

The region common to both the inequality graphs represents the possible solutions for the given set of inequality.

Given is that Mayerlin has {x} dimes and {y} nickels. She has no more than 20 coins worth no less than $1.30 combined

We can write the inequalities as -

x + y < 20                         .... (1)

x/10 + y/20 > 1.30             .... (2)

Refer to the graph of the inequalities attached. The region common to both the inequality graphs represents the possible solutions for the given set of inequality.

Therefore, the region common to both the inequality graphs represents the possible solutions for the given set of inequality.

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Once per week, review and record the statistics data . Every day at the same time, review and record the data before emptying the rain gauge.

Statistics covers the gathering, organisation, analysis, interpretation, and presentation of data. Verify Michael Kauf, etc. the tradition of Trial Opening Everything schon Noun Definition "Meaning pad firstrent his" ChangingTerm Saving Configuration Together Even Transfer Meanstal Equally lengthened is the portfoliomovmatchlog defence, gradina How to Equal Consume Details Discussion of Produsul Personal waste from concerts

Once per week, review and record the statistics data . Every day at the same time, review and record the data before emptying the rain gauge. After three days of checking and recording the data, predict what the subsequent readings will be.

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The number of flapjacks Kate can make is limited by the ingredient she has the least of, which is oats. So, Kate can make 120 flapjacks.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

First, we need to convert the ingredients from lbs to ounces:

6 lbs of oats = 6 lbs  × 16 ounces/lb = 96 ounces

5 lbs of butter = 5 lbs × 16 ounces/lb = 80 ounces

4 lbs of sugar = 4 lbs × 16 ounces/lb = 64 ounces

7 lbs of golden syrup = 7 lbs × 16 ounces/lb = 112 ounces

We can find the total amount of each ingredient required to make one flapjack and divide the available amount of each ingredient by the required amount to find the number of flapjacks that can be made:

= 96 ounces of oats / (4/5 ounces/flapjack) = 96 × (5/4) = 120 flapjacks

= 80 ounces of butter / (2/3 ounces/flapjack) = 80 × (3/2) = 120 flapjacks

= 64 ounces of sugar / (1/3 ounces/flapjack) = 64 × 3 = 192 flapjacks

= 112 ounces of golden syrup / (1/2 ounces/flapjack) = 112 × 2 = 224 flapjacks

Thus, the number of flapjacks Kate can make is limited by the ingredient she has the least of, which is oats. So, Kate can make 120 flapjacks.

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Answer:

Step-by-step explanation:

The equivalent expression for [tex](125x^{\frac{7}{3}})^{\frac{-1}{3}}[/tex] is [tex]\frac{1}{5x^{\frac{7}{9} }}[/tex].

The exponent of a number tells that how many times its original value has been multiplied by itself. Exponent-related issues are solved using the rules of exponents or the characteristics of exponents. These characteristics are regarded as important exponents principles that must be adhered to while solving exponents. The characteristics of exponents are extensively used in mathematics, particularly in algebra. We can simply simplify the formulas and write them in fewer steps with the use of the exponent's characteristics.

Law of Power of a Power: (xᵃ)ᵇ = xᵃᵇ

The given expression is [tex](125x^{\frac{7}{3}})^{\frac{-1}{3}}[/tex]

Use the property of exponents to get

= [tex](125^{\frac{-1}{3} } \times x^{\frac{7}{3}\times{\frac{-1}{3}}})[/tex]

As, [tex]125^{\frac{1}{3} }[/tex] = 5

= [tex](5x)^{\frac{-7}{9} }[/tex]

= [tex]\frac{1}{5x^{\frac{7}{9} }}[/tex]

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Answer:

x = 25

Step-by-step explanation:

Answer:

x = 25°

Step-by-step explanation:

<BDC + BCD = <ABD      I know that part may seem confusing but Im just giving you a little boost of knowledge about it. So later on in math ( I imagine that your barely starting off with this stuff) it will become more complex. You have to lable the sides because later on you will have to find the decimales or whole numbers in  meters inches or whatever. But yea you dont need to worry abbout that till later. :)

x + 90° =115°

Answer:each apple cost $1.45

Step-by-step explanation:l----------l

The month at which the total cost of each health club would be the same = 5 months and the total cost for each club = $79 each.

Let the equal month of membership be represented by x and y represent the total cost for each.

Club A offers the following; y = 19 + 12x

Club B offers the following; y = 14 + 13x

Because we know that the prices,y, would be equal, we can set the two equations equal to each other.

That is,

19+12x = 14+13x

Bring the like terms together;

19-14 = 14x-13x

5 = x

The total cost for club A;

y = 19+12(5)

y = 19+60

y= $79

The total cost for club B;

y = 14 + 13(5)

y= 14+65

y = $79

Therefore the total cost for each club would be the same which is = $79.

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The speed of the westbound train is 48 miles per hour and the speed of the eastbound train is 60 miles per hour.

The relative speed is the net speed of two different objects with respect to each other.

If two objects move in the same direction we take the difference between their speeds.

If two objects move in the opposite direction we take the sum of their speeds.

Given, An eastbound train and a westbound train meet each other on parallel tracks heading in opposite directions.

Let, The speed of the westbound train be 'x', So the speed of the eastbound train is (x + 12).

We know, Distance = Time×Speed.

Therefore,

2[(x + 12) + x] = 216.

x + 12  x = 108.

2x = 96.

x = 48 miles per hour, Hence the speed of the eastbound train is 60 miles per hour.

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The slope of the line = rise/run = 2/3.

The slope of a line is a measure of how steep the line is and it is usually represented by the letter "m". The slope can be found using the rise and run of the line. The rise is the vertical distance between two points on the line and the run is the horizontal distance between the same two points.

The slope of a line is equal to the rise divided by the run. It is often represented as m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line.

For example, if you have a line that goes from point (3,5) to point (7,11), the rise would be 6 (11-5) and the run would be 4 (7-3), therefore the slope of the line would be 6/4 = 1.5

Given the graph above, the rise of the line is the blue line = 2 units.

The run is the red line = 3 units.

Slope (m) = rise/run = 2/3.

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The number of different delegations of six that can be formed if at least four are seniors is; 31119

Permutations and combinations, are simply the various ways in which objects from a set may be selected, generally without replacement, to form subsets.

In this question we will be making use of the combination formula which is; [tex]^{n} C_{r}[/tex] = n!/(r!(n - r)!)

The parameters are;

Number of senior leaders = 12

Number of Junior Leaders = 10

Thus, the solution is;

(¹²C₄ * ¹⁰C₂) + (¹²C₅ * ¹⁰C₁) + (¹²C₆ * ¹⁰C₀)

= (495 * 45) + (792 * 10) + (924 * 1)

= 22275 + 7920 + 924

= 31119

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Answer: 6y + 36

Step-by-step explanation:

6(6+y)

= 6 * 6 + 6 * y

=36 + 6y

= 6y + 36

Slope of given line segment is 4/3.

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of approaches.

Given the coordinates of the two points that make up the line, we can use the slope of a line formula to determine the slope of the line directly. Slope = m = tan = (y2 - y1)/(x2 - x1) is the formula.

Slope of the line segment is rise / run

Slope = rise / run

From the graph, it is clear that rise = 12

run = 9

Slope = 12/9

Slope = 4/3

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The angular speed of the wheel in radians per minute is 23 radians per minute and the number of revolutions is 218 revolutions per hour.

Angular speed is defined as the rate of change of the angular displacement.

Angular speed is commonly denoted as ω.

We have a relation,

v = r ω

where v is the tangential speed and ω is the angular speed. r is the radius.

Given

v = 7 miles per hour

Diameter, d = 54 feet = 0.0102 miles

r = d / 2 = 0.0051

ω = v / r

ω = 1368.89 radian per hour

   = 1368.89 / 60 radians per minute

   = 22.815 radians per minute

   = 23 radians per minute

(b) n = v / 2π r

       = 7 / (π × 0.0102)

       = 217.865 revolutions per hour

       = 218 revolutions per hour

Hence the angular speed of the Ferris wheel is 23 radians per minute and there are 218 revolutions per hour.

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A description which best compares the graph given by the equations 2x - 7y = -5 and x - 3y = 4 include the following: D. intersecting but not perpendicular.

In Mathematics, perpendicular lines can be defined as two (2) lines that intersect or meet each other at an angle of 90° (right angles) as shown in the image (see attachment) attached below by both line m and line n.

Generally speaking, it is not all intersecting lines that are perpendicular to each other because the lines may intersect at different angles other than 90 degrees (90°).

By critically observing the graph of the lines representing equations 2x - 7y = -5 and x - 3y = 4, we can reasonably infer and logically deduce that they both intersect, but are not perpendicular because the angle of intersection is not an angle of 90° (right angles).

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Complete Question:

Which description best compares the graph given by the following equations:

2x - 7y = -5

x - 3y = 4

parallel

coinciding

perpendicular

intersecting but not perpendicular

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{x + 16}\\\mathsf{= 9 + 16}\\\star\textsf{ START at 9 and go up 16 to the right }\star\\\mathsf{= 25}\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{25}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The outer dimensions are 84 feet long by 50 feet wide. The half court line is, as the name would suggest, halfway between each end line.

A basketball court for a junior high or high school is 50 feet wide and 84 feet long. For all courts, the foul line or free throw line is 15' from the front of the backboard.

For NBA or FIBA, the free throw lane is 16 feet wide; for college, high school, and junior high basketball, it is 12 feet wide. three Point lines vary in the ways that: On NBA basketball courts, a straight line that extends out 16 feet 9 inches from the baseline forms a 3-point arc that measures 22 feet to the centre of the rim on both sides.

The line continues 23 feet 9 inches past those spots from the rim's centre. 

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Answer: Let's call the smallest of the three consecutive integers "x". Then the next two integers will be "x+1" and "x+2".

We know that the sum of the three integers is twice the largest integer plus 11. We can use this information to set up the following equation:

x + (x+1) + (x+2) = 2(x+2) + 11

Simplifying, we get:

3x + 3 = 2x + 5 + 11

So we can get:

x = 3

Therefore, the three consecutive integers are 3, 4 and 5.

Step-by-step explanation:

Answer:

11 & 1

Step-by-step explanation:

11*1=11

11+1=12

12>11

11>1

The required solution to the given equation is x = 20. The correct answer would be an option (C).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows:

2(2x - 4) = 3(x + 4)

Apply the distributive property of multiplication,

4x - 8 = 3x + 12

Rearrange the likewise terms and apply the arithmetics operation,

4x - 3x = 12 + 8

x = 20

Thus, the required solution is x = 20.

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The constant from given table is -1/3 and the equation for the relationship is y=-1/3x

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The given table is

x, -6, 0, 3,  9,

y,  2,  0, -1, -3

y is directly proportional to k

y=kx

2=k(-6)

k=2/-6=-1/3

So the constant is 1/3.

Now let us find the equation

m=-3+1/9-3

=-2/6= -1/3

slope intercept form is y=-1/3x+b

Now let us find b

2=(-1/3)(-6)+b

2=2+b

b=0

so equation is y=-1/3x

Hence, the constant from given table is -1/3 and the equation for the relationship is y=-1/3x

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Answer:

Good climate.The beauty is Thomas and I am going through the whole

Answer:55%

Step-by-step explanation: 22 + 18 = 40, 40 times 2.5 = 100 so 22 times 2.5 = the percentage which is 55