Lana and Andrew gather data by surveying their classmates. Lana asked them about the longest time they had ever run. Andrew asked them about their favorite color.


How could Lana and Andrew represent their data?


Would they represent them in the same way?


Why or why not?

The solutions for the following equations are:

1. 2x + 1 = 7, x = 3

2. 4x + 7 = 11, x = 1

3. 2x - 3 = 7, x = 5

4. x + 3 = 4, x = 1

5. 3x - 11 = 19, x = 10

1. 2x + 1 = 7

2x = 7 - 1 = 6

2x = 6

divide both sides by 2

x = 6/2, x = 3

2. 4x + 7 = 11

= 4x = 11 - 7

= 4x = 4

divide both sides by 4

x = 4/4, x = 1

3. 2x - 3 = 7

= 2x = 7 + 3

= 2x = 10

divide both sides by 2

x = 10/2, x = 5

4. x + 3 = 4

= x = 4 - 3

x = 1

5. 3x - 11 = 19

3x = 19 + 11

3x = 30

divide both sides by 3

x = 30/3

x = 10

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The discriminant of the quadratic equation ax² + bx + c = 0 is b² - 4ac.

The equation is √ 2x² − 5x+ √ 2 = 0

So the value of a, b, c are 2, -5, √2 respectively

Therefore, the discriminant is (-5)² - 4(2)(√2) = 25 - 8√2

So, The discriminant for √ 2x² − 5x+ √ 2 = 0 is -8√2

Answer:

The discriminant of a quadratic equation ax² + bx + c = 0 is given by the formula:

b² - 4ac

Given the equation √ 2x² − 5x + √ 2 = 0, we can find the discriminant by substituting the values of a, b, and c into the formula:

b² - 4ac = (-5)² - 4(√2)(√2) = 25 - 8 = 17

So, the discriminant of the equation √ 2x² − 5x + √ 2 = 0 is 17

Step-by-step explanation:

The expression that is the best interpretation of the numerator in the given expression is option B. The numerator represents the difference between Charlene's quiz average and her lowest quiz grade.

A numerator is the top part of a fraction that represents the quantity being divided. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator. The numerator represents the number of parts being considered out of the total number represented by the denominator.

Therefore, the expression that expresses the interpretation of the numerator in the given expression is option B.

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The solution is the set of all points (x,y) that satisfy the inequality y < 2x + 4.

What is the graph of a function?

The graph of a function is a visual representation of the relationship between the input values (x-coordinates) and the output values (y-coordinates) of the function. In other words, it is a visual representation of the function's rule.

The graph of a function can take many different forms, depending on the function's rule. Linear functions, for example, will produce a straight line on the graph.

To solve the inequality 2y – 4x < 8, we can start by isolating y by adding 4x to both sides:

2y < 4x + 8

then divide both sides by 2:

y < 2x + 4

This is the solution in slope-intercept form (y = mx + b), where the slope is m = 2 and the y-intercept is b = 4.

To graph the solution, you can pick a few x-values and substitute them into the inequality to find the corresponding y-values.

You can use x = -2, x = -1, x = 0, x = 1, x = 2, for example and find the y-values for each x, y < 2* -2 + 4 = 0, y < 2* -1 + 4 = 2, y < 20 + 4 = 4, y < 21 + 4 = 6 and y < 2*2 + 4 = 8.

Then plot those points on a coordinate plane and draw the line that goes through them, and shade the half-plane that is below the line

Hence, the solution is the set of all points (x,y) that satisfy the inequality y < 2x + 4.

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The estimated value of an asset that is fixed at the end of its useful life or lease term is its residual value, which is often referred to as salvage value.

What is Mcq, or salvage value?

When an item reaches the end of its useful life, its salvage value—or potential market value—is estimated. It can also be described as the asset's book value after depreciation has been taken into account.

What does the depreciation formula's residual value mean?

The asset's final worth is its residual value. To obtain the entire amount, it is therefore deducted from the starting value. Consequently, we are given the depreciation figure. This sum is divided by the usable years of the asset using the straight-line depreciation technique.

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Insurance is worth nothing more than a death benefit. Choice A is the correct choice.

Insurance is a form of protection against financial loss in which one party agrees to compensate the other party for a fee in the event of certain loss, damage, or injury. It is a type of risk management designed primarily to mitigate the risk of potential or uncertain losses. Capital life insurance is a generic term for capital life insurance.

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The solution is the set of all points (x,y) that satisfy the inequality y < x/4 - 3.

What is the graph of a function?

The graph of a function is a visual representation of the relationship between the input values (x-coordinates) and the output values (y-coordinates) of the function. In other words, it is a visual representation of the function's rule.

The graph of a function can take many different forms, depending on the function's rule. Linear functions, for example, will produce a straight line on the graph.

-4y > -x + 12 is a linear inequality. To solve this inequality, we can start by isolating y:

y < x/4 - 3

This inequality is in slope-intercept form (y = mx + b), where the slope is m = -1/4 and the y-intercept is b = -3.

To graph the solution, you can pick a few x-values and substitute them into the inequality to find the corresponding y-values.

You can use x = -8, x = -4, x = 0, x = 4, x = 8 for example and find the y-values for each x, y < -8/4 -3 = -2, y < -4/4 -3 = -1, y < 0/4 -3 = -3, y < 4/4 -3 = -1 and y < 8/4 -3 = -1/2.

Then plot those points on a coordinate plane and draw the line that goes through them, and shade the half-plane that is above the line

Hence, the solution is the set of all points (x,y) that satisfy the inequality y < x/4 - 3.

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The algebraic equation have the value of c equal to 4.

An algebraic equation is a mathematical statement that involves two equated algebraic expressions.

The unknown value c can be evaluated for the agebraic equation 2(c + 1) = 10 as follows:

open brackets

2c + 2 = 10

subtract 2 from both sides of the equation

2c + 2 - 2 = 10 - 2

2c = 8

divide through by the coefficient of c

2c/2 = 8/2

x = 4

Therefore, the value of c that makes the algebraic equation true is 4.

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The graph of the equation or inequality 2y – 4x < 8 is given the in the attachment.

The term inequality refers to a mathematical expression with unequal sides. An inequality compares two values and determines whether one is less, greater, or equal to the value on the other side of the equation. In general, inequality equations are represented by five inequality symbols.

The inequality symbols are less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and not equal (≠).

Inequalities are used to compare numbers and determine the range or ranges of values that satisfy the conditions of a given variable.

Given that:

2y – 4x < 8

2y < 4x +8

y < 2x + 4

Plot this on graph.

Thus, y < 2x + 4 is inequality to be plotted on the graph.

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Answer:

Katie recorded a total of 4 + 3 + 6 + 1 + 8 = 22 dogs over the first 5 days. If the same number of dogs turned up each day for the next 3 weeks, then she would have seen the same number of dogs per day for an additional 21 days (3 weeks * 7 days/week = 21 days). So in total, over the 3 weeks, she would have seen 22 dogs/day * 21 days = 462 dogs.

Step-by-step explanation:

I understand your dilemma. I suggest that you look for a glove that is made of a breathable material. Also, make sure that the glove fits properly so that there is no tightness or restriction of movement. Lastly, make sure to wear the glove for brief periods at first and gradually increase the time as your skin gets used to it.

1. Look for a glove made of a breathable material: Breathable materials allow for air circulation and can help prevent excess sweat and irritation.

2. Make sure the glove fits properly: It should not be too tight or too loose.

3. Wear the glove for brief periods at first: This will help your skin adjust to the glove and prevent iching

4. Gradually increase the time: Once your skin gets used to the glove, you can start wearing it for longer periods of time. I understand your dilemma. I suggest that you look for a glove that is made of a breathable material. Also, make sure that the glove fits properly so that there is no tightness or restriction of movement. Lastly, make sure to wear the glove for brief periods at first and gradually increase the time as your skin gets used to it.

the complete question is : If it now today, then iwill wear my glove. If i weaar my glove , my finger will get itchy. So i will try to avoid wearing it.

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The rule of the sequence 0 1 1 2 3 5 8 is that each term is obtained by adding the previous two terms.

The sequence 0 1 1 2 3 5 8 is a famous example of the Fibonacci sequence. The Fibonacci sequence is a sequence of numbers in which each term is the sum of the two preceding terms. In this case, the first two terms of the sequence are 0 and 1, and the rest of the terms are obtained by adding the previous two terms.

It's also possible to express the rule of the Fibonacci sequence by using the formula, F(n) = F(n-1) + F(n-2) where F(n) is the nth term of the sequence.

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The correct set of numbers that can represent the sides of an acute triangle among the options given is 5, 7, 8.

To determine if a set of numbers can represent the sides of an acute triangle, we can use the rule that the sum of the squares of the two smallest sides should be greater than the square of the largest side. By applying this rule

it can be seen that set B (5, 7, 8) satisfies this condition and is therefore an acute triangle,

while the other sets do not satisfy this condition and therefore are not acute triangles. It's worth noting that there can be multiple sets of numbers that can represent the sides of an acute triangle.

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Answer: B

Explanation: 5, 7, 8

The expressions when simplified become :

a. x ³ × y ²

b. 6x ² × y ³

To simplify the first expression, take x to the power of the number of times it appears and do the same for y. This means that x × x × x × y × y would become:

= x ³  × y ²

In the second expression, first collect like terms so that 2 × x × x × 3 × y × y × y becomes:

= 2 × 3 × x × x × y × y × y

= 6 x ² × y ³

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The median of the given data is 52, the lower quartile (Q1) is 41, the upper quartile (Q3) is 74, and the interquartile range (IQR) is 33.

Median: 52

Q1: 41

Q3: 74

IQR: 33

1. Arrange the numbers in ascending order: 38, 41, 42, 47, 48, 51, 72, 74, 74, 77, 82, 129

2. Count the number of data points: 12

3. Calculate the median by adding the two middle numbers and dividing by two: (47 + 48) / 2 = 52

4. Calculate the lower quartile (Q1) by finding the median of the lower half of the data: 41

5. Calculate the upper quartile (Q3) by finding the median of the upper half of the data: 74

6. Calculate the interquartile range (IQR) by subtracting the lower quartile from the upper quartile: 74 - 41 = 33

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Answer:

A = 0,

B = π/2,

C = 3π/2,

D = 2π

Step-by-step explanation:

The value of the expression at, a= 4, c = 2, and d = - 2.5 is 18768.75.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression -11с(а - d) + 121c²(a - d)² at, a= 4, c = 2 and d = - 2.5.

Simplifying the expression -11с(а - d) + 121c²(a - d)² we have,

= -11с(а - d) + (11c)²(a - d)².

= - 11c[(a - d) - 11c(a - d)²].

= - 11×2[4 + 2.5) - 11×2(4 + 2.5)²].

= - 22[6.25 - 22(6.25)²].

=  - 22[6.25 - 22×39.0625].

= - 22[6.25 - 859.375].

= - 22[- 853.125].

= 18768.75.

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(A) To find x, we can use the fact that the measures of the angles in a triangle must add up to 180 degrees. So we can write an equation using that information and the measures of angles q and r:

m angle q + m angle r + 90 = 180

(3x+25) + (4x+30) + 90 = 180

so:

7x+45 = 90

7x = 45

x = 45/7 = 5

(B) To find the degree measure of each angle, we can substitute x = 5 back into the expressions for angles q and r.

m angle q = (3x+25) = (3*5+25) = 40 degrees

m angle r = (4x+30) = (4*5+30) = 50 degrees

Since the angle p is a right angle, it has a degree measure of 90 degrees.

So the angle measures are: angle q = 40 degrees, angle r = 50 degrees, angle p = 90 degrees.

The total profit is  $ 16 earned by selling Pies and Cobblers in the market.

A system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."

A finite collection of equations for which we searched for the common solutions is referred to as a system of equations, also known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized. In everyday life, systems of equations are used to model issues when the unknown values may be represented by variables.

A system of equations has only one unique solution if the L.H.S. and R.H.S. of all the provided equations in the system are identical when the variable or point of intersection of the lines representing those equations is substituted.

The number of pies made by John be x and number of cobblers be y.

profit on each Pie is $ 3 and that on Cobbler is $ 2

Let the number of cups of apple used in making pie be 3x

number of cups of flour used in making Pie is 2x

Let the number of cups of apple used in making cobbler be 2y

number of cups of flour used in making cobblers is 3y

Now as per the sum,

3x + 2y = 16 .........(i)

2x + 3y = 15 ..........(ii)

Multipling equation 1 with 2 and equation 2 with 3 then subtracting eq i from ii we get ,

6x + 4y - 6x - 9y = 32 - 45

y = 2.6 and  x = 3.6

Now the total profit is 3*3.6 + 2* 2.6 = $ 16.

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Answer:     4c^7d^8

Step-by-step explanation:

That was for a

Answer:

a) 4cd²

b) 3a²b³

Step-by-step explanation:

Divide the coefficients (8/2)

Subtract the exponents (c⁴ - c³, d⁵ - d³)

Answer: yes

Step-by-step explanation:

Answer:

12097.8001

Step-by-step explanation:

Answer: I believe the answer is linear.

Step-by-step explanation:

To answer, this we'll have to look up the definition. Linear in math means "a straight line." However, exponential means it has curves in it. And if the manager gets a 5% salary every year, keyword every, it means he gets the same amount each year, making that a straight line in a graph.

On solving the provided question, An expression that finds the sum of x and y => X + Y

a collection of numbers, symbols, and operators (like + and ) that represent a value. Examples -  2 + 3 is a formula and there is also the statement 3 x/2. The equals symbol does not appear in expressions. Actually, none of these = ≠ < > ≤ ≥

We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value.

An expression that finds the sum of x and y -

=> X + Y

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x=8 is the equation for a vertical line passing through this place and y=7 is the equation for a horizontal line traveling through this place.

It is thought that a number's simplest form is represented by its smallest equivalent fraction. finding the simplest form: what to do. For shared factors, look into the numerator and denominator. Examine a fractional integer to determine if it is a prime number. An equation seems to be a statement that has nearly identical sides and an equality sign in the middle. In the general form of any equation, the degrees of all the variables are listed in descending order. The common representation of a mathematical expression is an x + b = 0. x + b y + c = 0 is the general form of a two-variable linear equation (or something similar). Identity or conditional equations are the two categories under which equations fall. An identity holds true regardless of how the variables are valued.

given

The value of x, in this case 8 for a vertical line, is constant. For whatever value of y, this will hold true. In light of this,

x=8 is the equation for a vertical line passing through this place.

The value of y, in this case 7, will also never change for a horizontal line. For whatever value of x, this will hold true. In light of this,

y=7 is the equation for a horizontal line traveling through this place.

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Answer:

Use brainly. or pay better attention in class.

Step-by-step explanation:

Our required ratio will be 8: 2: 24: 5 as per the given problem.

In our question, it is given that 1 Pound is equal to 16 ounces.

We will use this criterion for the rest of our solution.

Let’s convert all pounds to ounces.

1 pound =16 ounce

3 pound = 48 ounce

Now as per the problem, we have to find the ratio of 1 pound, 4 ounces, 3 pounds, 10 ounces.

= 1 pound: 4 ounces: 3 pounds: 10 ounce

= 16 ounces: 4 ounces: 48 ounces: 10 ounce

= 8: 2 : 24: 5

So our required ratio is 8: 2 : 24: 5.

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A 3:2 aspect ratio image is a rectangular image where the width is 3 units and the height is 2 units. It means that the width of the image is 1.5 times its height.

This aspect ratio is commonly used in photography, as it is the standard aspect ratio of 35mm film cameras, and also it's used in some digital cameras, DSLRs, and mirrorless cameras.

A 3:2 aspect ratio image can be thought of as a rectangle that has a width of 3 units and a height of 2 units. When you take a picture with a 3:2 aspect ratio, it will have a width that is 50% larger than its height. This allows for a larger view of the subject, and also it is more suitable for landscape images and portrait images.

It's worth noting that other aspect ratios are also used in photography such as 4:3, 16:9, and 1:1, it depends on the camera's sensor and the photographer's preference.

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The area of the path alone is equal to 178.98 square feet.

Remember that the area of a circle of radius R is:

A = pi*R^2

Where pi = 3.14

The area of the path alone will be equal to the difference between the areas of the circles where the path is included (radius of 11ft) and the area of the garden alone (radius is 8ft)

Then the area of the path alone is:

A = 3.14*(11 ft)^2 - 3.14*( 8 ft)^2

A = 178.98 ft^2

That is the approximate area of the path alone.

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