Meera cut 1/10 m from a tring. Lilian cut 2/10 m from the ame tring. The remaining tring wa 3/10 m long. What wa the original length of the tring?

Her sales are at least $1000 during that week.

Let x stand in for her sales.

The equation to determine her sales is as follows, based on the data in the question:

Hillary works at a video store. She earns $8. 50 per hour plus a 12% commission on all the weekly sales she makes.

he works 24 hours a week if she earns at least $324 during that week

(8.50 × 24) + (12% × x) ≥ 324

204 + (0.12 × x) ≥ 324

204 + 0.12x ≥ 324

0.12x ≥ 324 - 204

0.12x ≥ 120

x ≥ 120/0.12

x ≥ 1000

Her sales are at least $1000

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The sum or difference matched with its simplified form;

(7x³ -12x + 4) - (6x²- 8x - 3)

open parenthesis

= 7x³ -12x + 4 - 6x² + 8x + 3

= 7x³ - 6x² - 4x + 7

(5x³ - 3x + 7) - (2x³ + 6x² - x)

= 5x³ - 3x + 7 - 2x³ - 6x² + x

= 3x³ - 6x² - 2x + 7

(3x³ - 10x² + 2x) - (10x² + 7x - 10)

= 3x³ + 10x² + 2x - 10x² - 7x + 10

= 3x³ - 5x + 10

(5x³- 3x + 7) + (2x³ + 6x² - x)

= 5x³- 3x + 7 + 2x³ + 6x² - x

= 3x³ + 6x² - 4x + 7

Therefore, a given expression can be written Ina simplified form.

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Ponyboy shivered as he recalled the Socs jumping him and asking if he was a greaser.

The statement is referencing a scene from the novel "The Outsiders" by S.E. Hinton. In the novel, Ponyboy is a member of a poor, lower-class gang called the "greasers." The Socs are the wealthier, more privileged gang in town. The scene described in the statement is likely one in which Ponyboy is confronted and beaten up by members of the Socs gang, who are asking him if he is a member of the greaser gang.

The scene highlights the tensions and conflicts between the two gangs and their different experiences growing up in different social classes.

"The Outsiders" is considered a young adult novel, so it can be read by kids who are at or near the target age range for that genre, typically around 12 to 18 years old. However, the themes and content of the novel may be mature for some younger readers, so it is always a good idea for parents or guardians to read the book first and determine if it is appropriate for their child.

Additionally, individual reading levels can vary greatly, so it is always best to assess a child's individual abilities and interests when determining if a particular book is suitable for them to read.

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The values of a and b such that y∼n(0,1) are a = ± (1/σ) and b = ± (μ/σ)

of a gaussian distribution.

Gaussian distribution (also known as normal distribution) is a bell-shaped curve, and it is assumed that during any measurement values will follow a normal distribution with an equal number of measurements above and below the mean value.

E(X) = μ, Var(X) = σ^2

Y = aX + b

We want E(Y) = 0 and Var(Y) = 1

E(Y) = a E(X) + b

0 = a μ + b

b = -a μ  --- (1)

Var(Y) = (a^2) Var(X)

1 = (a^2) σ^2

a^2 = 1/σ^2

a = ± 1/σ  --- (2)

From (1) and (2)

b = (± 1/σ) μ

So, a = ± (1/σ) and b = ± (μ/σ)

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The complete question is :

A random variable X ∼ N (µ, σ2 ) is Gaussian distributed with mean µ and variance σ 2 . Given that for any a, b ∈ R, we have that Y = aX + b is also Gaussian, find a, b such that Y ∼ N (0, 1)

The equation of the plane that passes through (1, 3, 6) and is parallel to x = 11 is x = 1.

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations (such as addition, subtraction, multiplication, and division). It represents a value that can be determined if the values of the variables are known. An algebraic expression does not contain an equal sign and cannot be solved like an equation, but it can be simplified or manipulated using algebraic rules. For example, the expression 2x + 3y is an algebraic expression, where x and y are variables.

A plane can be represented by a normal vector (a,b,c) and a point (x⁰,y⁰,z⁰) that lies on the plane. If a plane is parallel to the plane x = 11, the normal vector must be in the direction of the x-axis, meaning (a,b,c) = (1,0,0).

The equation of the plane can then be found using the point-normal form, which is given by:

ax + by + cz = d, where d = ax⁰ + by⁰ + cz⁰

Plugging in the values for (1,3,6) and (a,b,c) = (1,0,0), we get:

a(1) + b(3) + c(6) = d

1 + 0 + 0 = d

d = 1

So the equation of the plane that passes through (1,3,6) and is parallel to x = 11 is: x = 1

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The recursive formula for the arithmetic sequence in this problem is given as follows:

c(1) = -16.

c(n) = c(n - 1) - 17.

Arithmetic sequences are collections of numbers that share a consistent difference between them; that is, there is a constant amount of subtraction between any two entries in an arithmetic sequence.

The recursive formula for an arithmetic sequence is defined as follows:

c(n) = c(n - 1) + d.

In which d is the common difference of the arithmetic sequence.

The sequence in this problem is given as follows:

-16, -33, -50, -67,...

Then the common difference is obtained as follows:

d = -33 - (-16) = -33 + 16 = -17.

So, c(n) = c(n - 1) - 17.

c(1) = -16.

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Answer: 12

Step-by-step explanation:

you would first add up all of the numbers togeather, and it would give you 60. You then need to divide 60 by the amount of numbers which is 5. So you would do 60 divided by 5 to get 12.

The polynomials is divided using synthetic division and the remainder theorem to 3x³ -6x² - 20x - 77/x + 4

Synthetic division is described as one of the methods that is used to manually perform the Euclidean division of polynomials.

The steps taken in a synthetic division include;

Given the polynomial;

f(x) = 3x³ + 6x² + 4x +3 by x + 4

We have;

        3          6        4         3

-4     _____-12__24___80__

        3          -6       -20      -77

Then, we have;

3x³ -6x² - 20x - 77/x + 4

Hence, the expression is 3x³ -6x² - 20x - 77/x + 4

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1) The area of the board shown on the scale drawing is; 1800 cm².

2) The way that Adam can use the scale factor to find the area of the actual electronics board is; The scale factor 5:1 means that 1 cm in the drawing is 0.2 cm in reality. Thus, he would multiply both 36 and 50 and by 0.2 cm then add them to get 17.2.

3)  The area of the actual electronics board is; 17.2 cm².

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size maybe bigger or smaller.

1) The formula for area of a rectangle is;

Area = Length * Width

Thus;

Area of board = 36 * 50

Area = 1800 cm².

2) He can figure out that the scale factor 5:1 means that 1 cm in the drawing is 0.2 cm in reality. Thus, he would take 36 and 50 and multiply them both by 0.2 cm then add them to get 17.2, which is the actual area of the rectangle.

3) Actual area is 17.2 cm²

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The segment drawn from the apex to the edge of the circular base is 24.2 units.

A right triangle's hypotenuse, or side opposite the right angle, has a square length that, according to the Pythagorean theorem, is equal to the sum of the squares of the lengths of the other two sides.

The Pythagorean Theorem can be used to determine the slant height of a right cone. The circular base's radius is equal to its diameter times half, or 6/2 = 3 units.

The volume of the cone can be found using the formula:

V = (π/3)r²h

Where r is the radius, and h is the height of the cone. Plugging in the given values, we have:

72π = (π/3)r²h

72π = (π/3)3²h

72π = (π/3)9h

72π = 3πh

24 = h

Using the Pythagorean Theorem, we can find the slant height as follows:

c² = a² + b²

Where a and b are the height and radius of the cone, and c is the slant height. Plugging in the values we have:

c² = 24² + 3²

c² = 576 + 9

c² = 585

c = 24.2

Hence, the segment drawn from the apex to the edge of the circular base is 24.2 units.

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[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{(-1)}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{(-3)}}} \implies \cfrac{4 +1}{-5 +3} \implies \cfrac{ 5 }{ -2 } \implies - \cfrac{ 5 }{ 2 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{- \cfrac{ 5 }{ 2 }}(x-\stackrel{x_1}{(-3)}) \implies y +1 = - \cfrac{ 5 }{ 2 } ( x +3) \\\\\\ y+1=- \cfrac{ 5 }{ 2 }x-\cfrac{15}{2}\implies y=- \cfrac{ 5 }{ 2 }x-\cfrac{15}{2}-1\implies {\Large \begin{array}{llll} y=- \cfrac{ 5 }{ 2 }x-\cfrac{17}{2} \end{array}}[/tex]

Answer:

Step-by-step explanation:

this is a case of linear pair...

52° + 90° (of the right angled triangle) + x° = 180°

52° + x° = 180° - 90°

x° = 90° - 52°

x° = 38°

Answer:

135°

Step-by-step explanation:

"The function is increasing in the interval (-2.5,∞)".

To determine whether the function is increasing or decreasing we are going to use the derivative test.

f(x) = x² + 5x + 6

f'(x) = 0

2x + 5 = 0

x = -5/2

Intervals associated with this point are  (-∞,-2.5) and (-2.5,∞)

Now by checking in the interval  (-∞,-2.5)  at a point, let's say -3

Then,

f'(-3) = -1 so function is decreasing over this interval.

Now by checking in the interval  (-2.5,∞)  at a point, let's say 2

Then,

f'(2) = 1 so function is increasing over this interval.

Hence "The function is increasing in the interval (-2.5,∞)".

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The sign of the second derivative of a function can determine whether the function is increasing or decreasing. If the second derivative is positive, the function is concave up and therefore increasing.

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Hence the formula of [tex]a ^2 + b^ 2 + c^ 2[/tex] is [tex]( a + b + c )^ 2 - 2 ( ab + bc + ca ) .[/tex]

Formulas are equations that compute values from your spreadsheet. A formula always starts with the equal sign (=).

Using a calculating operator and a constant, you can make a straightforward formula.

For instance, the equation =5+2*3 multiplies two numbers before adding one more to the outcome.

A formula is a rule or relationship in mathematics that utilizes letters to indicate amounts that might change; these amounts are known as variables. For instance, the triangular area calculation formula.

The word "formula" is pluralized to "formulas." A list of elements that are employed in various concoctions and potions is referred to as a formula, which can also refer to a specific mathematical calculation.

Because English might be erratic at times, newborns can also be fed formula.

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The equation for the volume of a cylindrical shell is:

V = πr² * h * w, where r is the radius of the semicircle base, h is the height of the shell, and w is the width of the shell.

The volume of the solid can be found using the method of cylindrical shells. The volume of each cylindrical shell is equal to the product of the area of the base (a semicircle), the height of the shell, and the width of the shell (which is equal to the difference in the x-coordinates of the two vertices that define the height).

To find the total volume, we would sum up the volumes of all the cylindrical shells, from the top to the bottom of the solid.

The equation for the volume of a cylindrical shell is:

V = πr² * h * w, where r is the radius of the semicircle base, h is the height of the shell, and w is the width of the shell.

The height of the shell is given by the difference in the y-coordinates of the two points that define the height, and the width of the shell is given by the difference in the x-coordinates of these two points.

To find the total volume, we would integrate the volume of the cylindrical shell over the height of the solid. The limits of integration would be the y-coordinates of the bottom and top of the solid.

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The value of the operation sec theta plus cot theta using trigonometric ratios is; 2.465

The primary trigonometric ratios are;

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

sec x = 1/cos x

cosec x = 1/sin x

cot x = cos x/sin x

The parameters are;

sin θ = 0.6224

cos θ = 0.8820

Thus;

sec θ = 1/cos θ = 1/0.8820

cot θ = cos θ/sin θ = 0.8820/0.6624

Thus

sec θ  + cot θ = (1/0.8820) + (0.8820/0.6624)

= 2.465

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Given the following information, we can calculate the requested probabilities:

Probability that the customer is at least 20 but no older than 60:

Number of customers in the specified age range: 72 + 52 + 100 + 71 + 69 = 364

Total number of customers: 364 + 1 = 365

So, the probability is 364/365 = 0.997

Probability that the customer is either older than 40 or younger than 20:

Number of customers in the specified age range: 72 + 52 = 124

Total number of customers: 365

So, the probability is 124/365 = 0.338

Note: The chart doesn't provide information about customers who are older than 60 or younger than 20, so we can't calculate the probability for those ranges.

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Answer:  3:10

Step-by-step explanation:

Answer:

6:20 or 3/10

Step-by-step explanation:

The greatest common factor of 5x⁷, 30x⁴, 10x³ is 5x³

The Greatest Common Factor is defined as the largest number that is a factor of two or more numbers. For example, the GCF of 24 and 36 is 12, because the largest factor that is shared by 24 and 36 is 12. 24 and 36 have other factors in common, but 12 is the largest.

The greatest common factor between 5, 10 and 30 is 5. This means out all of the common factors between 5,10 and 30 , 5 is the greatest

The greatest common factor between x⁷ and x⁴ and x³ is x³.

Therefore the greatest common factor between 5x⁷, 30x⁴, 10x³ is 5× x³ = 5x³

This means 5x³ is the highest factor that can go through 5x⁷, 30x⁴, 10x³

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The value of x for the expression is 168 = 18x + 12.2x.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

168 = 18x + 12.2x

Add like terms.

168 = 30.2x

Divide both sides by 30.2

168/30.2 = x

x = 5.56

Thus,

The value of x is 5.56.

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For the given coordinates, the equation of line is y = 1, The coordinates of foot of perpendicular will be (0, 5)

Assume that ax + by + c = 0. is a continuous line. If a perpendicular line is drawn from any point on the plane to the provided straight line, the intersection of the two lines is referred to as the foot of the matching perpendicular.

Because a perpendicular line is created from point P to the y-axis, the distance between its intersection with the x-z plane remains constant.

Given,

the points of line are - (1, 1) and (5, 5).

equation of line = (y - yo) = m (x - xo)

⇒ y - 1 = [tex]\frac{5 - 1}{5 - 1}[/tex] (x - 1)

⇒ y = 1. is the equation of the line,

Let us consider the point (a,b) such that it is the foot of the perpendicular,

Now, as the line line joining the points (1,5) and (a,b) will be perpendicular to each other,

⇒ y - 1 = b - 5 / a - 1 (x - 1)

The slope of one line is the negative inverse of other line,

⇒ b - 5 / a -1 = 0

⇒ b = 5

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Answer:

600,000 is greater than 11,733.83. Or

600,000>11,733.83

Step-by-step explanation:

To compare the values of 600,000 and 11,733.83, we can simply look at the magnitude of the numbers.

600,000 is much larger than 11,733.83. This means that 600,000 is greater than 11,733.83

According to the histogram, the expected mean exam score is approximately 6.5. This value is centered on the majority of scores, indicating that it is most likely the exam's average.

A histogram is a graph that shows data points arranged in user-defined ranges. By grouping a large number of data points into logical ranges or bins, the histogram, which looks like a bar graph, makes a data series easier to understand.

Histograms and bar charts both use columns to present a visual display, and the terms are frequently used interchangeably. However, technically speaking, a histogram depicts the frequency distribution of a data set's variables.

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The formula of standard deviation method is

[tex]P=\sqrt{\frac{ \sum(X-\mu)^2}{N}}[/tex]

[tex]S=\sqrt{\frac{ \sum(X-\bar{x})^2}{n-1}}[/tex]

What is the standard deviation?

A standard deviation is a measurement of the data's dispersion from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

Standard deviation It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.

population mean:

[tex]P=\sqrt{\frac{ \sum(X-\mu)^2}{N}}[/tex]

X- the value in the data distribution

[tex]\mu[/tex]  - the population mean

N- total number of observations

[tex]S=\sqrt{\frac{ \sum(X-\bar{x})^2}{n-1}}[/tex]

[tex]\bar{x}[/tex]  - the sample mean

n- total number of observations

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The slope of the equation c=450+28g represents the increase in cost per additional guest.

Typically, a line's slope provides information about the steepness and direction of the line. Finding the difference between the coordinates of the locations will allow you to quickly compute the slope of a straight line connecting two points, (x1,y1) and (x2,y2). The letter "m" is frequently used to signify slope.

We can see that the preceding equation is in the slope-intercept format, where m denotes the line's slope and b is its y-intercept or starting point.

In this case, the slope is 28 dollars per additional guest. This means that for every additional guest, the cost of the banquet increases by $28.

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If the Circle has Center: (6, 1); and solution point: (5, 9) , then the standard form of Equation is (x - 6)² + (y - 1)² = 65 .

The standard form of a circle is given by ⇒ (x - h)² + (y - k)² = r²,

where (h, k) is the center of the circle and r is the radius.

To find the standard form of the circle that has center (6, 1) and a solution point (5, 9), we need to find the radius "r" first.

The distance(r)  between the center and the solution point is given by the Pythagorean theorem:

⇒ r = √((5 - 6)² + (9 - 1)²)

⇒ r = √((-1)² + (8)²)

⇒ r = √65

Now substituting  radius(r = √65) in  the standard form of the circle:

we get ;

⇒ (x - 6)² + (y - 1)² = √65²

⇒ (x - 6)² + (y - 1)² = 65

Therefore , the standard form of circle is (x - 6)² + (y - 1)² = 65  .

The given question is incomplete , the complete question is

Write the standard form of the circle that has Center: (6, 1); and solution point: (5, 9) .

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The equation is unchanged when you replace x with --x AND y with -y.

Hence, according to the above hypothesis, our equation is origin symmetry.

Equation graphs may be symmetric with regard to the origin or with respect to one of the coordinate axes.

If the Cartesian plane were folded along the -axis, the area of the graph above the x-axis and the area below the x-axis would coincide. This is known as symmetry with regard to the -axis.

Similar concepts apply to symmetry with regard to the y-axis or the origin.

x-axis, not symmetry, the equation will be changed when we replace the y with -y.

y-axis, not symmetry,  the equation will be changed when we replace the x with -x.

origin symmetry , the equation is unchanged when you replace x with --x AND y with -y.

hence, according to the above hypothesis, our equation is origin symmetry.

The complete question is-

Use the algebraic tests to check for symmetry with respect to both axes and the origin. (Select all that apply.)

y=x3

x-axis symmetry

y-axis symmetry

origin symmetry

no symmetry

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0.947 g/ml is the cube density the volume was 9.01.

The term "density" refers to the ratio between the volume (the amount of space taken up by an item or substance) and the amount of matter contained inside (its mass). The quantity of mass per unit of volume is another method to define density.

We are know that items float in liquids when their density is less than that of the liquid.

Objects floating in a liquid are those whose density is equal to that of the liquid.

So, in this case, the cube is solely suspended in the first liquid combination. Therefore, the first liquid mixture's density is the same as a cube. The other mixes have densities that are higher than that of the cube.

Density of methanol = 0.7913 g/ml

Density of water = 1 g/ml

Density of the 6th liquid mixture:

= {(2 × 0.7913 ) + (1 × 6)}/8 g/ml

= 0.947 g/ml

Therefore density of cube = 0.947 g/ml

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The complete question is as follows:

What Is The Cube Density The Volume Was 9.01? The Cube Floated Up To 8.1 Ml