Order the values of the differences from least to greatest. First, write the fractions as decimals. StartFraction 4 Over 5 EndFraction is and Negative 1 and one-half is . Next, plot the numbers on the number line. The greatest number is . Using the students' names, the correct order is .

-1016 is a rational number and integer

Integers are basically the whole numbers that can be positive, negative, or zero. In integers, fractional numbers are not included. For instance, -2, -3,0,1,5, and so on are integers.

A rational number, in Mathematics, can be defined as any number which can be represented in the form of p/q where q ≠ 0.

Example of rational numbers are 1/2 , 2/1 , 3/5 e.t.c.

All positive and negative integers are also rational numbers.

Therefore the number -1016 is a both a rational number and an integer.

This is because all positive and negative numbers are integers.

And -1016 can be written as -1061/1 which makes it a rational number.

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Answer:

162

Step-by-step explanation:

1 hundred (100) + 5 tens (50) + 12 ones (10+2)

100+50+12 = 162

Answer: No, x^2 is not a quadratic equation. It is a monomial equation. A quadratic equation has the form ax^2 + bx + c = 0, where a, b, and c are constants.

Step-by-step explanation:

Absolute functions and inequality signs are both included in an expression to be considered an absolute value inequality.

The absolute value inequality is demonstrated by the values of z.

The z values that can be used

Z's polar opposite is bigger than 5.

the following absolute value inequality results.

[tex]$|z| > 5$[/tex]

Expand

[tex]$z > 5$ or $z < -5$[/tex]

The number five is a good one.

So, we use the inequality to our advantage.

[tex]$z < -5$[/tex]

According to the inequality above, z might have a value between -6 and -7.

There are more z values to be aware of.

The values that z cannot exist in (a) are as follows:

[tex]$z > 5$ or $z < -5$[/tex]

Inequality is a representation of the values that z cannot be.

[tex]$z > 5$[/tex]

Z cannot be 6 or 7 given the inequality above.

They are all negative numbers less than -5, which is the accurate statement about the values of z.

The complete question is:

The opposite of z is greater than 5. a. What are two possible values of z? What are two values that z cannot be? What must be true about all possible values of z? Show your work.​

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The measure of the missing angle is 21°.

1. Measure the length of each side of the triangle.

2. Using the triangle inequality theorem, determine the angles of the triangle.

3. Use the formula to calculate the measure of each interior and exterior angle.

Solution:

To measure a missing angle of triangle,

∠ABC + ∠ACB + ∠CAB = 180°

x + 132° + 27° = 180°

x + 159°  = 180°

x = 180° - 159°

x = 21°

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On solving the provided question, we can say that as we have a hexagon here, each angle = x = 120

A hexagon is a six-sided polygon or hexagon in geometry that makes up the cube's outline. A straightforward hexagon's internal angles add up to 720°. A closed two-dimensional polygon with six sides is what is known as a hexagon in geometry. Additionally, a hexagon has 6 corners on each side. Hexa signifies six, and gona denotes an angle. Soccer balls, honeycombs, floor tiles, and surfaces of pencils are all hexagonal in shape. A hexagon is a polygon with six sides in geometry. A hexagon is referred to as a regular hexagon if all of its sides and angles have the same length.

as we have a hexagon here,

so sum of angles = 720

x+x+x+x+x+x = 720

6x = 720

x = 720/6

x = 120

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Answer:

a= 92.7

Step-by-step explanation:

Assuming the width and height are 5 and the length is 6

The slope is 2 using the slope-intercept form. As the slope of the line in slope-intercept form is the coefficient of x, the slope of the line is -2.

The slope of a line governs its steepness. Using mathematics, the gradient is expressed as "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical (rise) to the horizontal (run) change in distance between any two sites. Every time the equation for a straight line is written as y = mx + b, the slope-intercept representation of the equation is utilized. At the location of the y-intercept, the line has a slope of m, b, and c. (0, b). As an example, the y-intercept of the equation y = 3x - 7 has a value of 3. (0, 7).

given

The slope is 2 using the slope-intercept form.

As the slope of the line in slope-intercept form is the coefficient of x, the slope of the line is -2.

Divide the difference in elevation between two points by the distance between them, multiply the result by 100, and that is the percent slope. The term "rise" refers to the elevational difference between two places. The run is the distance separating the points. The formula for percent slope is (rise / run) x 100.

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YES, This is an observational study.

The variables in this study are:

Media usage: categorical (explanatory variable)

Tiredness: quantitative (response variable)

This is an observational study. The researchers are observing and measuring the relationship between media usage and tiredness, but they are not manipulating or controlling any variables. They are collecting data by randomly selecting homes to visit and interviewing the adult member of the household whose birthday was nearest.

An observational study draws conclusions from a sample of a population in disciplines like epidemiology, social sciences, psychology, and statistics when the independent variable is not under the researcher's control due to ethical considerations or practical limitations. One typical observational study examines how a therapy may affect its participants, but the researcher has no control over which group the subjects are assigned to—the treated group or the control group. Unlike experiments like randomized controlled trials, when each subject is arbitrarily assigned to either a treated group or a control group, this does not happen. Observational studies naturally create challenges for inferential analysis because they lack an assignment mechanism.

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Answer:

24wx + x

Step-by-step explanation:

3( wx8) + x

3(8wx) +x

3 × 8wx + x

\ /

24wx + x

Answer:

so basically all you have to do is round.

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Because the thing is divided in to fourths the is 1/4 chance of getting any of those four numbers. Also 1/4 as a percentage is 25%

Since, f(0)=0, hence the given x-5 is the factor of given function.The slope-intercept form of the linear function equation. As a result, it is written as f(x) = mx + b, where m denotes the slope and b the line's y-intercept. Recognize a linear function's standard form. Usually, linear functions are written

The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

Given, equation

[tex]f(x)=2x^3+7x^2-15x[/tex]

putting x=-5 in above equation

[tex]f(-5)=2*(-5)^3+7*(-5)^2-15*(-5)\\f(-5)=0[/tex]

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Since, f(0)=0, hence the given x-5 is the factor of given function.The slope-intercept form of the linear function equation. As a result, it is written as f(x) = mx + b, where m denotes the slope and b the line's y-intercept. Recognize a linear function's standard form. Usually, linear functions are written

The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

Given, equation:

f(x) = 2x³ + 7x² - 15x

Putting x = -5 in above equation:

f(-5) = 2 * (-5)³ + 7 * (-5)² - 15 * (-5)

f(-5) = 0

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Dilation is a transformation that changes the size of an object while keeping its shape the same.

In this case, the scale factor of 3 tells us that the triangle will be three times larger than the original triangle.

To perform the dilation, you would take each vertex of the triangle and multiply the x-coordinate and y-coordinate by 3. For example, if one vertex of the original triangle had coordinates (x, y), the coordinates of that same vertex in the dilated triangle would be (3x, 3y).

It's also worth noting that the dilation is done with respect to a fixed point called the center of dilation. You can think of this point as the "pivot" around which the dilation occurs.

The center of dilation is typically represented by the letter "O".

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Answer:

radius = 13 cm

Step-by-step explanation:

the segment OT bisects the chord RS , then

RT = 12 cm

the radius of the circle is the line OR

using Pythagoras' identity in the right triangle RTO

OR² = RT² + OT² = 12² + 5² = 144 + 25 = 169 ( take square root of both sides)

OR = [tex]\sqrt{169}[/tex] = 13

that is the radius = 13 cm

An example of substitution property is finding the solution of an algebraic expression.

The substitution property is a notion in algebra that is used for substituting the value of a given variable or a quantity into an expression to find the value of the unknown.

In other words, we can express that the substitution property is utilised to replace the value of a quantity in an equation or an expression to solve a mathematical problem.

For example, Find the value of the algebraic expression x² - 3x + 8 if x = 1.

Using the substitution property, we will substitute x with 1 in the given expression to find its value.

x² - 3x + 8 if x = 1

= 12 - 3(1) + 8

= 1 - 3 + 8

= -2 + 8

= 6

So, the value of the given algebraic expression x² - 3x + 8 is 6 when x = 1.

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The compound inequality that represents each phrase is x=-3. An inequality expression is 25 < x < 30.

An inequality that combines two other inequalities by using either "and" or "or" is referred to as a compound inequality. In some cases, "and" won't be stated explicitly, but it is still understood. For instance, 1 x 3 simply means "x > 1 and x 3". However, a compound inequality using "or" is always explained in detail using "or." Conjunction and disjunction are the two forms of compound inequalities, and the following are their distinctions:

All real numbers that are less than -3 => x < -3

or greater than or equal to 5 => x≥5

Compounded inequalities :   x < -3 or  x≥5

From the graph, there is a hole at x = -3.

2. If you want to say that a cake needs to bake for between 25 and 30 minutes, you can use the inequality phrase 25 x 30. Option is the response that is appropriate (A).

What do math operations consist of?

The built-in functions for multiply, divide, and subtract can also be used to specify arithmetic operations.

Describe inequality.

Mathematical statements are considered to be unequal if at least two of the terms contain variables or integers that are not equal.

It has been stated that a cake should bake for a minimum of 25 minutes and a maximum of 30 minutes.

The time needed to bake a cake is between 25 and 30 minutes, which may be expressed as an inequality statement, where x

⇒ 25 < x < 30.

Therefore, the inequality expression is 25 < x < 30.

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The expected profit in the long run can be determined by calculating the expected value of the total revenue from selling the lobsters. The expected total revenue is the sum of the expected revenue from selling the lobsters to the restaurant and the from selling the lobsters to the grocery store.

The expected value of the revenue from selling the lobsters to the restaurant can be calculated by multiplying the expected price per pound from the restaurant by the expected amount of lobsters caught in a day. The expected price per pound from the restaurant follows a triangular distribution with minimum value $1.50, maximum value $5.50, and likeliest value $3.50. The expected amount of lobsters caught in a day follows a normal distribution with mean 1,500 pounds and standard deviation sqrt(12,500) pounds.

The expected value of the revenue from selling the lobsters to the grocery store can be calculated by multiplying the expected price per pound from the grocery store by the expected amount of lobsters caught in a day. The expected price per pound from the grocery store is decreasing with more lobsters: $3.85 - 50.0005 * y, where y is the total lobster amount sold in pounds. The expected amount of lobsters caught in a day follows a normal distribution with mean 1,500 pounds and standard deviation sqrt(12,500) pounds.

Given the expected values of the total revenue from selling the lobsters to the restaurant and the grocery store, Amir can use simulation to determine the optimal percentage of lobsters to sell to the restaurant in order to maximize his expected profit in the long run. He can run several simulations with different percentages of lobsters to be sold to the restaurant and compare the expected profits for each simulation. The percentage that produces the highest expected profit is the optimal percentage for Amir to maximize his expected profit in the long run.

Amir can use simulation to determine the optimal percentage of lobsters to sell to the restaurant in order to maximize his expected profit in the long run. He can calculate the expected value of the total revenue from selling the lobsters to the restaurant and the grocery store, and then run several simulations with different percentages of lobsters to be sold to the restaurant to compare the expected profits for each simulation. The percentage that produces the highest expected profit is the optimal percentage for Amir to maximize his expected profit in the long run.

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The volume of the solid is 207.23 cm³.

Volume of the Solid:

Volume is the area occupied by an object/matter (solid, liquid, gas) within a 3D object. Alternatively, the volume of a three-dimensional object is generally defined as the capacity of the object that matter can hold.

For example, the volume of a cubic box indicates how much water or other substance it can contain. For ice cream cups, the amount of ice cream that can fit in the cup without gaps corresponds to the volume of the ice cream cup.

Now, based on the question:

Volume of Solid = Volume of Cylinder + Volume of Cone

Volume of Cylinder = πr²h

v= 3.14 * (3)² * 6

v = 169.56

Volume Of Cone:

Cone volume defines the space or volume of the cone. A cone is a three-dimensional geometric shape with a circular base that tapers from a flat base to a point called an apex or vertex. A cone is formed by a series of line segments, half-lines, or lines connecting vertices that are common to all points on the base in a plane that does not contain vertices. A cone can be thought of as a series of noncongruent disks that overlap each other such that the ratios of the radii of adjacent disks are kept constant.

We know that :

Volume of Cone = πr² h/3

v = 3.14 * (3)² * 4/3

v = 37.7

Now,

Volume of Solid = 169.56 + 37.7

              = 207.26 cm³

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Answer:6

Step-by-step explanation: 6,12,18

9,18

Answer: [tex]\frac{(\sqrt{10} +3)^{2}+1 }{\sqrt{10}+3 }[/tex]

Step-by-step explanation：

Answer:

$1080

Step-by-step explanation:

F = P + Prt

r = 5% = 0.05; t = 4

F = $900 + $900 × 0.05 × 4

F = $1080

The meaning of Dilation is changing the size of an object without changing its shape. The size of the object may be decreased or increased based on the scale factor.

One example of dilation math is a square of side 5 units can be dilated to a square of side 25 units, but the shape of the square remains the same.

Dilation is the method of resizing or transforming an object. It is a transformation that makes the objects larger or smaller with the help of the given scale factor.

The new figure get after dilation is called the image and the real image is called the pre-image. Dilation can be of two types:

1. Expansion - It happens when the size of an object is increased.

2. Contraction - it happens when the size of an object is decreased.

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The system of equations is y = 35 - 2.2x and y = 1.7x.

The solution of the system of equations is (8.97,15.25).

At about 8.97 seconds, both elevators will be about 15.25 feet above the ground.

What is an elevator?

An elevator, often known as a lift, is a car that moves vertically in a shaft to transport passengers or freight between the levels of a multistory building. Most modern elevators are propelled by electric motors via a system of wires and sheave with the assistance of a counterweight (pulleys).

Given that there are two elevators in an office. The 4th floor of the office at 35 feet above the ground and is descending at a rate of 2.2 feet per second.

The equation represents the height of the elevator above the ground after x seconds is y = 35 + (-2.2)x. Since the elevator is descending at a rate of 2.2 feet per second.

The other elevator starts out at ground level and rises at a rate of 1.7 feet per second.

The equation represents the height of the elevator above the ground after x seconds is y = 1.7x. Since the elevator is rising at a rate of 1.7 feet per second.

The system of equations is

y = 35 + (-2.2)x .....(i)

y = 1.7x   ........(ii)

Solve the equations substitution method.

Putting y = 1.7x in equation (i)

1.7x = 35 + (-2.2)x

1.7x = 35 - 2.2x

Add 2.2x on both sides:

1.7x + 2.2x = 35

3.9x = 35

Divide both sides by 3.9:

x = 35/3.9

x = 8.97

Putting x = 8.97 in equation (ii)

y = 1.7 × 8.97

y = 15.25

After 8.97 seconds, the elevators will be 15.25 feet above the ground.

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Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5

So, she charges $10 a window plus a $5 flat supply fee, we are going to add 10 and 5 to find are answer and we are going to use c:

→ w = 10

→ 10w

$5 in the other hand, is independent.

→ + 5

→ c = 10w + 5

Therefore, Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5

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Answer:

1) y=5/2x +2

2) y=1/2x+4

Step-by-step explanation: Slope intercepts equation is y=mx+b. After solving your slopes for each problem would be 5/2x and 1/2x, then you would solve to find B, which for this problem is 2, and 4. You would leave the y as just a regular y for this problem.

Answer:

[tex]x=6.40[/tex] (to 3sf)

Step-by-step explanation:

Height of triangle = 14 - 10

                             = 4

Following the Pythagoras' Theorem,

[tex]x^{2} =5^{2} +4^{2} \\x^{2} =41[/tex]

∴ [tex]x=6.40[/tex] (to 3sf)

Answer: To find out how many seconds it will take to print 300 copies of the Sport Report, we can use the formula:

time = (number of copies) / (rate of printing)

We know that the rate of printing for The Informer is 450 copies in 15 seconds. To find the rate of printing per second, we can divide the number of copies by the time in seconds:

rate of printing = 450 / 15 = 30 copies per second

So to find out how long it will take to print 300 copies of the Sport Report, we can use this rate of printing and plug it into the time formula:

time = (number of copies) / (rate of printing)

time = 300 / 30

time = 10 seconds

Therefore, it will take 10 seconds to print 300 copies of the Sport Report at the same rate as The Informer.

Step-by-step explanation: