42. HOW DO YOU SEE IT?
Write an expression in rational
exponent form that represents
the side length of the square.
Area:
x in.²

Quantitative variables can be used to measure and contrast data because they have numerical values. Measurements like shoe size, height, weight, and temperature are examples of quantitative variables.

Quantitative variables can be used to measure and contrast data because they have numerical values. They come in discrete or continuous forms. While continuous variables have an infinite number of possible values, such as decimal numbers, discrete variables have specific values, such as integers or whole numbers. Measurements like shoe size, height, weight, and temperature are examples of quantitative variables. Quantitative variables can be used to describe a population's varied characteristics, such as the median age or annual income of a given group. The average height of men and women, for example, might be used to compare two populations. The use of quantitative variables is crucial for comprehending and analyzing data. They enable academics to spot patterns and trends in data They enable researchers to find patterns and trends in data, anticipate the future, and form conclusions.

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the complete question is

Which of the following variables are quantitative? Number zip codeFavorite colorShoe sizeArea code and Shoe size.

At the locations where the acceleration graph veers off, the particle changes course. It accelerates at positive slope acceleration graph intervals and decelerates during negative slope acceleration graph intervals.

At the locations where the acceleration graph veers off, the particle changes course. At these locations, the particle's acceleration is zero and the slope of the graph flip-flops from positive to negative. The particle changes direction at this point. The particle either speeds up or slows down in the intervals before and after the point of inflection. The particle is speeding up during the intervals where the acceleration graph has a positive slope, and slowing down during the intervals where the acceleration graph has a negative slope. We can determine how the particle is changing direction and whether it is speeding up or slowing down by examining the slope of the acceleration graph.

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The solid whose base is the region bounded by the parabola y = x^2 and the line y = 1 and whose cross sections perpendicular to the base and parallel to the x-axis are squares is a parabolic pyramid.

A parabolic pyramid is a pyramid whose base is a parabola and whose lateral faces are formed by rectangles that are perpendicular to the base. The height of the pyramid is determined by the y-coordinate of the point where the parabola and the line y = 1 intersect. The length of the side of the square cross section is determined by the x-coordinate of the point where the parabola and the line y = 1 intersect.

The base of the solid is a parabolic region, defined by the parabola y = x^2 and the line y = 1, and the cross sections are squares, perpendicular to the base, and parallel to the x-axis. This solid is called a parabolic pyramid.

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The total amount of interest due on the account is $8.36.

What is the simple interest?

Simple interest is a method of calculating the interest on a loan or deposit. It is calculated as the principal amount multiplied by the interest rate, multiplied by the number of time periods (usually in years).

To calculate the interest due on the account, we first need to determine the number of days for which the interest will accrue. Since the payment was made on the 9th day and the charge was made on the 28th day, the interest will accrue for 28 - 9 = 19 days.

We then use the formula for simple interest: Interest = Principal x Rate x Time

In this case, the Principal is the beginning balance of $660, the Rate is the APR of 26% (which must be converted to a decimal by dividing by 100), and the Time is the number of days for which the interest will accrue (19 days).

So the Interest = $660 x 0.26 x (19/365) = $8.36

Therefore, the total amount of interest due on the account is $8.36.

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Here we are interested in finding the slope of the line. From the given graph we can see that that the line passes through points (-5,0) and (0,-3) . We know that slope can be calculated by ,

[tex]\longrightarrow slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1} =\tan\theta [/tex]

hence here ,

[tex]\longrightarrow m =\dfrac{y_2-y_1}{x_2-x_1}\\[/tex]

[tex]\longrightarrow m =\dfrac{0-(-3)}{-5-0}\\[/tex]

[tex]\longrightarrow m =\dfrac{3}{-5}\\ [/tex]

[tex]\longrightarrow m =\dfrac{-3}{5}\\ [/tex]

[tex]\longrightarrow \underline{\underline{ m = -0.6}}[/tex]

And we are done!

From the given formulas, formula A is a tautology or always true. Formula B is a contradiction or never true. And, formula C is contingency or sometimes true.

Using the truth table, a given expression is said to be in tautology when all the values are true. The given expression is said to be a contradiction when all the values are false or never true. And the given expression is said to be contingency when the values are either true or false.

In the given formulas, formula A (p→q)∨(q→r) is a tautology. This is because the values in all rows are true (T).

In the given formulas, formula B (¬(¬(p∧q)→(p→¬q))) is a contradiction. This is because the values in all rows are false (F).

In the given formulas, formula C ((¬p∨q)→q) is a contingency. This is because some values are true and some are false.

The complete question is -

Determine whether each of the following formulas is a tautology, contingency, or contradiction (this means always true, sometimes true, never true). Show how you arrived at each answer. Use equivalence-style proofs.

A. (p→q)∨(q→r)

B. ¬(¬(p∧q)→(p→¬q))

C. ((¬p∨q)→q)

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Answer:

10, 8

Step-by-step explanation:

Let x be the number of salads and y be the number of burgers.

We know that:

x + y = 28 (the total number of people)

8x + 4y = 152 (the total cost in dollars)

We can use the first equation to solve for one variable in terms of the other.

x = 28 - y

Now we can substitute this expression into the second equation:

8(28 - y) + 4y = 152

224 - 8y + 4y = 152

224 = 12y

y = 18 (burgers)

We can then use this value to find the number of salads

x = 28 - y = 28 - 18 = 10 (salads)

So the manager bought 10 salads and 18 burgers

According to the given information in the question the volume of the cylinder is approximately 1232.5 cm³.

A three-dimensional object's volume is the area it takes up, and it is expressed in cubic units. Cm3 and in3 are examples of cubic units.On the other hand, an item's mass can be used to calculate how much matter it contains. The weight of an object is a common way to determine mass (in units like pounds or kilograms).

The most popular units of volume in the decimal system of measurement are ml. and liters.

V = * r² * h is the formula for a cylinder's volume.

V = π * (8.8 cm)² * 4.7 cm

V = π * 77.44 cm² * 4.7 cm

V ≈ 1232.5 cm³

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The sum of interior angles of the given 22 sided convex polygon is; 3600°

When it comes to finding the sum of the interior angles of a a convex polygon that has n sides, we can say that its interior angle sum is given by the following equation:

S = ( n − 2) × 180°.

where;

n is the number of sides of the convex polygon

Thus, for a 22 sided convex polygon;

S = (22 - 2) × 180°

S = 20 × 180°

S = 3600°

That represents the sum of interior angles of the given polygon.

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The circumference of the walkway is 26 x + 16 when two words are added together.

A walkway around a rectangular garden.

The garden's size is 4(4.5 x + 1.5) square meters.

The garden's and the walkway's combined area is 5.5(8 x + 4)

We must locate the location of the walkway.

By deducting the size of the pathway from the area of the

from the combined area, a rectangle

Simplify it to provide the combined area as 5.5(8 x + 4)

The total area is equal to 5.5(8 x) Plus 5.5. (4)

∴Area added together: 44 x + 22

Simplify: The garden's area is 4(4.5 x + 1.5).

The garden's size is equal to 4(4.5 x) Plus 4. (1.5)

The garden's size is equal to 18 x + 6.

Subtract the garden's area from the total area now.

The walkway's area is equal to (44 x + 22) minus (18 x + 6)

Area of the walkway is equal to 44x + 22 - 18 x - 6

- Add similar phrases.

The walkway's size is equal to (44 x - 18 x) +. (22 - 6)

Walkway area equals 26 x plus 16

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Answer: 1/15

Step-by-step explanation: 3*5=15

We frequently have no idea of their distance from us when we observe things in the night sky. For instance, although having the appearance of being inside a sphere with a very big radius that surrounds the Earth, the stars are actually all located at vastly different distances from our Solar System.

The angle that an object makes (subtends) as observed by an observer is its angular diameter. This is illustrated in the image below, where an observer at A (who is closer to the object) perceives the object's angular diameter as being larger than an observer at B. The terms "angular diameter" and "distance between two objects, measured on the celestial sphere" are interchangeable.

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On the interval (1,b), f(x)=4x2-7 changes at an average rate of 8b-11. To determine this, divide the difference between the function at b and 1 (4b2-7-3) by the difference between the intervals (b-1).

The average rate of change of a function on an interval is a measure of the change in the output of the function over the given interval. It can be calculated by taking the difference of the output between the endpoints of the interval, and dividing by the difference between the endpoints of the interval. For the given function f(x)=4x²-7 on the interval (1,b), the average rate of change is 8b-11This is obtained by dividing the output difference between 1 and b (4b2-7-3) by the output difference between the intervals (b-1). Our average rate of change is given by this formula: (4b2-7-3) / (b-1) = 8b-11. This average rate of change provides us with a general understanding of the function's rate of change across the specified interval. The output of the function increases at a constant rate as the input increases in this situation because the rate of change grows linearly as b increases.

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The maximum error in calculating the area of the disk is approximately 0.25 cm * 2π * 26 cm = 16.3 cm².

The maximum error in the calculated area of the disk can be estimated using differentials. A = r2, where r is the circle's radius, is the formula for calculating a circle's area.. Differentiating this equation with respect to r gives us A' = 2πr. Plugging in the given values, we get A' = 2π * 26 cm = 161.6 cm². If the possible error in measuring the radius is 0.25 cm, then the maximum error in calculating the area of the disk is 0.25 cm * A' = 0.25 cm * 161.6 cm² = 16.3 cm². Therefore, the maximum error in the calculated area of the disk is approximately 16.3 cm².

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Answer: B = 50 - 0.06x

Step-by-step explanation:

This equation shows that the remaining balance on the gift card (B) is equal to the initial amount of the gift card (50) minus the cost of the prints (0.06x) where x is the number of prints purchased.

Hey there!

We are given the expression [tex]n + 23[/tex].

Hence, 23 is the constant.

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Answer:

It is not possible to determine the average movie ticket price in each of these countries with the given information. The statement "Average movie prices in the United States are in general lower than in other countries" is not relevant to determine the average movie ticket price in Japan and Switzerland. The information provided is the cost of 3 tickets in Japan and 2 tickets in Switzerland, and also the cost of 3 tickets in Switzerland and 2 tickets in Japan. This information cannot be used to determine the average movie ticket price in each country as it is not clear how many people are going to the movies and the different prices of the movies. More information is needed.

By applying Trigonometry functions it can be concluded that cos θ = -√2/2 will be met if θ = 135° or 225° (option D)

Trigonometry is a branch of mathematics that studies the relationship between side lengths and angles of triangles.

Trigonometry functions can be defined by means of a right triangle, where ABC is a right triangle, a and b are the sides of the triangle and c is the hypotenuse of the triangle.

sin A = opposite side (a) / hypotenuse (c)

cos B = adjacent side (b) / hypotenuse (c)

tan C = opposite side (a) / adjacent side (b)

There are some special angles whose sin, cos, and tan values are frequently used:

          0°     30°       45°       60°     90°    

sin      0      1/2      √2/2     √3/2      1

cos     1     √3/2    √2/2       1/2       0

tan      0    √3/3        1          √3       ~

These values change over the interval:

We have to find all values in the interval [0,360°) that have the given function value cos θ = -√2/2.

cos θ = √2/2

      θ = 45°

Since cos will have a negative value in the interval [90°,270°], then we get the value of θ is 135° and 225°.

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Answer: To rewrite the given expressions as equivalent rational expressions with the denominator (5a+2)(a−4)(a+2), we need to factor the denominators of the given expressions and cancel out any common factors between the numerator and denominator.

2/5a^2-18a-8

We can factor the denominator: 5a^2-18a-8 = (5a+8)(a-1)

Now we can cancel out the common factor of (a-1) from the numerator and denominator

2/(5a+8)

8a/5a^2+12a+4

We can factor the denominator: 5a^2+12a+4 = (5a+4)(a+1)

Now we can cancel out the common factor of (a+1) from the numerator and denominator

8a/(5a+4)

Now we can multiply the numerators and denominators of both expressions with (5a+2)(a−4)(a+2)

(2*(5a+2)(a−4)(a+2)) / (5a+8)(a-1)(5a+2)(a−4)(a+2) = 2(a−4)(a+2) / (5a+8)(a-1)

(8a*(5a+2)(a−4)(a+2)) / (5a^2+12a+4)(5a+2)(a−4)(a+2) = 8a(5a+2) / (5

Step-by-step explanation:

Interval 1: 10 a.m. to 12 p.m., Frequency: 6, Interval 2: 12 p.m. to 14 p.m., Frequency: 8, Interval 3: 14 p.m. to 16 p.m., Frequency 5, Interval 4: 16 p.m. to 18 p.m., Frequency 2, and Interval 5: 18 p.m. to 20 p.m., Frequency 1.

The first lower limit of the sample frequency distribution for the provided data is fixed at $10.00, with an interval width of $2.00. The frequency of Interval 1 is 6, and it runs from 10:00 to 12:00. The frequency of Interval 2 is 8, and it lasts from 12:00 to 14:00. With a frequency of 5, interval 3 runs from 14:00 to 16:00. The frequency of interval 4 is 2, and it lasts from 16:00 to 18:00. With a frequency of 1, interval 5 runs from 18.00 to 20.00. The data range and frequency of each value are shown in this table, giving a comprehensive picture of the data. You can use this table to determine suitable pricing strategies for the product.

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If several students wonder which is a better buy a 40 pack of pencil top The option that is the best is option 2 because it is cheaper.

Option 1

40 pack of pencil top erasers  =  2.82/ 40

40 pack of pencil top erasers = 0.07

40 pack of pencil top erasers = 7 cent cost of each pack

Option 2 :

2 pack of pencil top erasers =0.12/ 2  

2 pack of pencil top erasers = 0.06        

2 pack of pencil top erasers = 6ent  a pack

Based on the above calculation  the second option is better than the first option based on the fact that you tend to get pencils cheaper per pack.

Therefore option 2 is better.

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The solution to  x^2 – 10x = 24 is 12 or -2. The solution is obtained by solving the algebraic equation.

What is algebraic equation?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). For the algebraic equation, the expression must contain an equals to sign.

We are given equation as x^2 - 10x = 24

This can be re-written as x^2 - 10x - 24 = 0

In order to find the solution, we need to solve the equation for x.

So,

⇒x^2 - 10x - 24 = 0

⇒x^2 - 12x + 2x - 24 = 0

⇒x (x - 12) + 2 (x - 12) = 0

⇒(x - 12) (x + 2) = 0

⇒x = 12 , -2

Hence, the solution to x^2 – 10x = 24 is 12 or -2.

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Since there are multiple question, so the question answered above is

The solution to x2 – 10x = 24 is

✔ 12 or –2

Answer:

chnbntyehjejejdbhdhehgeuru382863yrh

The figures cone Z and cylinder Y have the same volume.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic metre (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.

Given, Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base perimeter. Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.

The formula for volume of the cone Z is given by

Volume = 1/3* pi * radius *radius *height

The formula for volume of the cylinder Y is given by

Volume =  pi * radius *radius *height

Since, it is given that Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.

Thus, substituting  in the formula of volume of the cone Z, we get,

Volume = 1/3* pi * radius *radius *3*height

Simplifying, we have,

Volume =  pi * radius *radius *height

Hence, the volume of the cone Z = volume of the cylinder Y

Thus, the figures cone Z and cylinder Y have the same volume.

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Correct conclusion , Proportion of viewers is not less than 0.20.

What is proportion ?

A proportion is a way to express the relationship between two or more quantities or values. It is a statement that asserts that two ratios or fractions are equal, such as "2/5 is equal to 4/10". Proportions can be written in different ways, such as "2 to 5 is equal to 4 to 10", or "2:5 = 4:10".

the proportion of viewers who watch the particular show is less than 0.20. The p-value of 0.47 is greater than the level of significance of 0.05, meaning that the results of the test are not statistically significant and do not provide enough evidence to reject the null hypothesis that the proportion of viewers who watch the particular show is greater than or equal to 0.20. Therefore, the marketing agency cannot conclude that the proportion of viewers who watch the particular show is less than 0.20.

Correct conclusion , Proportion of viewers is not less than 0.20.

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Answer: To convert a temperature from degrees Celsius (°C) to degrees Fahrenheit (°F), you can use the following formula:

°F = (9/5) x °C + 32

So, to convert 280°C to °F:

°F = (9/5) x 280 + 32 = 536 + 32 = 568°F

So the equivalent of 280°C in °F is 568°F

Step-by-step explanation:

Answer:

Step-by-step explanation:

Each mechanic worked a total of 12.5 hours each.

Based on given polynomial, The complete equation is = x² - 6x - 3.

A polynomial can be multiplied in just three steps.

The first step is to multiply each term in one polynomial by each term in the other polynomial using the distributive law.

Use the exponent rule to sum powers of related variables.

Then, to simplify the resulting polynomial, add or eliminate like elements.

The fact that multiplying two polynomials always yields a degree higher than the degree of the original polynomials should not be overlooked.

If a variable has the same exponent but various exponents for the provided polynomials, we must use the exponent law.

Given,

                a______________

x²       (b) __         -6x³             (c)__

9x      9x³              (d)___        -27x

We know that (a) is some polynomial in the form Ax² + Bx + c

Based on the above table,

It is clear that

on multiplying x² ×  1 term = (b)

x² × 2 term = -6x³

⇒ 2 term = -6x³ / x² = -6x                             (1)

x² × 3 term = (c)

Now,

9x × 1 term = 9x³

⇒ 1 term = x²                                                  (2)

9x × -6x = (d)

⇒ d = -54x²                                                     (3)

9x × 3 term =  -27x

3 term = -3                                                      (4)

From (1), (2) and (4),

The complete equation is = x² - 6x - 3

Value of (b) =  x² ×  1 term = (b)= x² × x² = x⁴

Value of (c) = x² × 3 term = (c) = x² ₓ -3 = -3x²

Value of (d) =  -54x²    [From (3)]

So the complete table is -

                (a) x² - 6x - 3

x²       (b) -6x         -6x³           (c) -3

9x      9x³           (d) -54x²     -27x

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7 × 10000 + 5 × 1000 + 2 × 100 + 3 × 10 + 2 × 1

Answer: 3rd Picture

Step-by-step explanation: Equation: y=1/3x+4

Intercepts y axis at 4, and with the slope equation (rise/run), then it rises 1 and runs 3, thus being the 3rd picture.