Select an ordered pair that is a solution to the equation represented by the graph.

(-4,0)
(-2, -4)
(-2,0)
(0, -4)

The formula for the Lateral Surface Area of a pyramid is LSA = (1/2) Pl; is true

What is the Surface Area of a Pyramid?

The total area of a pyramid's faces is referred to as the pyramid's surface area. In other terms, a pyramid's surface area is the whole area that the pyramid's surface occupies. Typically, it is measured in square units like m2, cm2, in2, and so forth.

The pyramid's two types of surface areas are:

Regular Pyramid Lateral Surface Area = (1/2) Pl Square Units

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True, the formula for the Lateral Surface Area of a pyramid is LSA = (1/2) Pl.

The total area of a pyramid's faces is referred to as the pyramid's surface area. In other terms, a pyramid's surface area is the whole area that the pyramid's surface occupies. Typically, it is measured in square units like m², cm², in², and so forth.

The pyramid's two types of surface areas are:

Refer to the attachment.

The base area of the pyramid is, B = a2

The base perimeter of the pyramid is, P = 4a

The area of each of the side faces = (1/2) × base × height = (1/2) × (a) × l

Therefore, the sum of all side faces = 4 [(1/2) × (a) × l] = (1/2) × (4a) × l

= (1/2) Pl.

Regular Pyramid Lateral Surface Area = (1/2) Pl Square Units

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As a result, the confidence level widens as the sample size shrinks, indicating an inverse connection between the confidence interval and sample size.

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Answer: - 14.4

Step-by-step explanation:

Matrices are used to represent data in rows and columns. The values of x and y are 9 and -14.4 respectively.

Matrix A is represented as: ( x -5, y -8)

Calculate A2: A2: (x 5, y  -8) x (x 5, y  -8)

 Recall that A2 = A

This means that: (x2 + 5y, 5x - 40)  = (x  5)

                             ( xy - 8y, 5y + 64) = (y  -8)

So, by comparison:

5x - 40 = 5

5x = 40 + 5

5x = 45

x = 9

Similarly:

5y + 64 = -8

5y = -64 - 8

5y = -72

y = -14.4

Hence, the values of x and y are 9 and -14.4 respectively.

The equation a² = a is true, when the value of  "x = 1" and "y = 1".

An equation is a mathematical statement that asserts that two expressions are equal.

When we are given an equation like

=> a² = a

it means that the value of a² on the left side is equal to the value of "a" on the right side.

Here we need to find the values of "x" and "y" for which this equation is true.

Let's start by assuming that the value of "a = 1".

In that case, the equation

=> a² = a

=> 1² = 1.

And since 1 raised to the power of 2 is equal to 1, this equation is true. Therefore, we have found a solution for the equation: "a = 1".

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As per the given details, the expected number of white balls obtained when three balls are selected at random from the bowl is 58/60.

We must first determine the probability of choosing various numbers of white balls, then multiply those numbers by the corresponding probabilities in order to determine the expected number of white balls that will be produced when three balls are randomly chosen from the bowl.

Choosing none of the white balls: The chance of choosing none of the white balls can be estimated by choosing all three of the red and blue non-white balls.

The bowl has a total of 6 non-white balls. It is possible to choose 0 white balls with a probability of (6/6) * (5/5) * (4/4) = 1.

By choosing one white ball and two non-white balls, it is possible to compute the likelihood of selecting one white ball.

In the bowl, there are two white balls and four colored balls. The odds of choosing just one white ball are (2/6) * (4/5) * (3/4) = 2/5.

By choosing two white balls and one non-white ball, it is possible to compute the likelihood of selecting two white balls. Selecting two white balls has a probability of (2/6) * (1/5) * (4/4) = 2/30.

You can figure out the likelihood of selecting three white balls by choosing all three of them. The likelihood of choosing three white balls is 1/60 (2/6) * (1/5) * (1/4).

Expected number of white balls = (0 * 1) + (1 * 2/5) + (2 * 2/30) + (3 * 1/60) = 0 + 2/5 + 1/15 + 1/20 = 2/5 + 1/15 + 1/20

Expected number of white balls = (8/20) + (4/20) + (3/60) = 15/20 + 4/20 + 1/60 = 19/20 + 1/60 = 57/60 + 1/60 = 58/60

Therefore, the expected number of white balls obtained when three balls are selected at random from the bowl is 58/60, which can be further simplified to 29/30.

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The area of the shaded regions in the given figure is 4.56 cm².

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

From the given figure,

Here, ΔLMN is isosceles triangle, ML=MN=4 cm

Now, area of a ΔLMN =1/2 ×Base×Height

= 1/2 ×4×4

= 8 cm²

By using Pythagora's theorem, we have

LN²=LM²+MN²

LN²=4²+4²

LN²=32

LN=4√2 cm

Area of semicircle = πr²/2

Here, radius =2√2 cm

Now, 3.14×(2√2)²/2

= 12.56 cm²

Area of shaded region = 12.56-8

= 4.56 cm²

Therefore, the area of the shaded regions in the given figure is 4.56 cm².

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Answer:

36%

Step-by-step explanation:

100% = 1 (the whole)

1/10 = 0.1 = 10%

0.36 = 36%

18%

100% = 10% + 36% + 18% + Francisco

36% = Francisco

Answer:

This statement does not provide enough information to answer a question or solve a problem. It is a description of a situation or scenario, but it does not include specific details or variables that can be used to calculate a solution.

The correct option: A. 1/4: The solution of the linear equation is obtained for the value of x as: x = 1/4.

The stated equation:

15x – 15 = 7x - 13

Isolate the variables:

15x - 7x = 15 - 13

Simplify:

8x = 2

x = 2/8

x = 1/4

Thus, the solution of the linear equation is obtained for the value of x as: x = 1/4

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The longest side of the triangular deck will have approximately 50.8800 feet, rounded to the nearest ten-thousandth.

A 45° - 45° - 90° triangle has sides in the ratio of 1:1:√2. Since one leg measures 36 feet, the length of the hypotenuse (the longest side) can be found by multiplying the length of a leg by √2:

36 * √2 = 36 * 1.41421356 = 50.8800

Therefore, it is concluded that the longest side of the triangular deck will measure approximately 50.8800 feet, rounded to the nearest ten-thousandth.

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Step-by-step explanation:

Looks like it should have been

[tex] \frac{rs}{st } = \frac{rq}{qu} [/tex]

Making that...

[tex] \frac{5}{10} = \frac{6}{x} [/tex]

Cross multiply

[tex]5x = 60[/tex]

And finally divide

[tex]x = 12[/tex]

The new price of the meal price be $75.

The final cost of a meal is $88.5.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Now, Part A:

Let us say,

The cost of meal be $100.

According to question(part A), there is 25% off coupon.

So, we get;

⇒ 25% of $100

⇒ $25

Therefore, Projected price of meal be;

⇒ $(100 - 25) = $75.

Part B:

Using new price, i.e. $75, there is tip 18%.

So, we get;

⇒ 18% of $75

⇒ $13.5

Now, we have to add $13.5 as tip to $75.

Therefore, Final projected price of meal is;

⇒ $13.5 + $75 = $88.5

Hence, The final cost of a meal is $88.5.

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The next term in the sequence is 1.5

It is a series of numbers that increase or decrease by a constant amount called the ratio of the progression. It is increasing when the ratio is positive and decreasing when it is negative.

The sequence given is: 12,6,3

We have to find the ratio or constant amount to find the next term:

12/2 = 6

6/2 = 3

We can see the successive term is half of the preceding one, so the general formula will be:

A(n+1)=A(n)/2

For the next term we get:

A(4th)= A(n)/2

A(4th) = 3/2

A(4th) = 1.5

The sequence is: 12, 6 ,3 , 1.5

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Correctly written question:

What is the next term of the following sequence? 12, 6, 3, ...

The measure of angle R is 106.5 degrees approximately when the

sides of the triangle are given.

If ABC is a triangle, then as per the statement of the Law of Cosines, we have: a2 = b2 + c2 – 2bc cos α, where a,b, and c are the sides of triangle and α is the angle between sides b and c.

Here PQR is a triangle, then as per the statement of cosine law,

we will have:  p2 = q2 + r2 – 2pqcos R,

where p, q  and r are the sides of triangle and R is the angle between sides q and p.

therefore, [tex]28^{2} = 17^{2} +15^{2}[/tex] - 2(28)(17)cos R

              cos R = -270/952

                        = -0.284

                    R = cos-1(-0.284)

              therefore, R = 106.499 = 106.5 approximately.

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Based on the given graph:

Based on the given graph, we can know the relationship between the cost per month and data usage used per megabites.

On the graph, the line intercepts with y-axis on point (0, 20). This condition shows that even with 0 megabites data used, the customer will still be charged by $20 per month. This cost is known as a fixed cost. The y-intercepts is at 20.

The slope of the given line can be calculated by taking 2 different points from the graph:

(500, 40)

(1000, 60)

We use the slope formula, which:

m = y₂ - y₁

      x₂ - x₁

m = 60 - 40

     1000 - 500

m = 20 / 500

m = 1/25

The slope shows the additional cost the customer needs to pay for each megabites of data he used. This cost is also known as a variable cost.

Based on the given graph and the value of both slope and y-intercept, we can formulized a linear equation for this graph as:

y = 1/25 x + 20

y = 0.04x + 20

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The triangle is 2.98142 meters high.

The height of a triangle is the perpendicular tracing from one side to the other of the triangle. The height of the triangle is also referred to as the altitude, which joins the base to form a right-angle triangle.

The formula h = xy, where x and y are the bases of the two analogous triangles formed when the height of the right triangle is drawn from one vertex to its hypotenuse, can be used to determine the altitude of a right triangle.

A line segment connecting a triangle's vertex to its opposite side is known as the triangle's altitude. In relation to the base or the side it touches, it is perpendicular. It is possible to draw three altitudes in a triangle because it has three sides. The Orthocenter is the location where the three heights of a triangle intersect.

 s = a + b +c\2

 hb = √ -a4 +2(ab)² + 2 (ac)² - b4 +2 (bc)² - c4/2b

      =√-3 4 +2 .(3.6)² +2.(3.7)² - 6 4 +2.(6.7)²-7 4 / 2.6

      =2.98142

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Sum of angles at 5 corners of a polygonal path abcdea is 360 degrees (assuming convex polygon).

What is vector ?

Vector is a term that refers colloquially to some quantities that cannot be expressed by a single number, or to elements of some vector spaces.

The sum of the angles at the corners of a polygon is equal to (n-2) times 180 degrees, where n is the number of sides of the polygon. In this case, n = 5, so the sum of the angles at the corners is (5-2) * 180 = 360 degrees.

However, this assumes that the polygon is convex. Since abcde is not a convex pentagon, need to calculate the angles at each corner separately.

The angle between two lines can be calculated using the dot product formula:

cos(θ) = (u⋅v) / (||u|| * ||v||)

where u and v are the vectors representing the lines, and ||u|| and ||v|| are their magnitudes. The angle θ is between 0 and 180 degrees.

For example, to find the angle between the lines ab and bc,use the vectors b-a and c-b:

cos(θ) = (b-a⋅c-b) / (||b-a|| * ||c-b||)

Sum of angles at 5 corners of a polygonal path abcdea is 360 degrees (assuming convex polygon).

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The sum of these five numbers is 66.59 degrees.

To find the sum of the angles turned at each corner, we need to find the angle between each pair of adjacent sides.

First, we find the slope of the line segment between each pair of points:

AB: slope = (2-0)/(7-0) = 2

BC: slope = (4-2)/(3-7) = -2

CD: slope = (7-4)/(3-3) = 3

DE: slope = (5-(-1))/(-1-3) = -6

EA: slope = (0-5)/(0-(-1)) = 5

Next, we find the angle between each line segment using the inverse tangent function (atan).

AB: angle = atan(2) = 63.43 degrees

BC: angle = atan(-2) = -63.43 degrees

CD: angle = atan(3) = 71.57 degrees

DE: angle = atan(-6) = -84.97 degrees

EA: angle = atan(5) = 79.56 degrees

Adding up all the angles, we get:

63.43 + (-63.43) + 71.57 + (-84.97) + 79.56 = 66.59 degrees

So the sum of the five angles is 66.59 degrees.

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Answer:

The mother is now 20 years old and the daughter is 8 years old. Let the mother's age be x and the daughter's age be y. We can write the equation x - 12 = y and x - 4 = 4y. Solving these equations simultaneously gives us x = 20 and y = 8.

Step-by-step explanation:

Answer:

To graph the line using slope and y-intercept, we can follow these steps:

Identify the slope and y-intercept:

The slope of the line is -1/3.

The y-intercept is -7.

Plot the y-intercept:

Plot the point (0, -7) on the coordinate plane, since this is the point where the line intersects the y-axis.

Plot additional points using the slope:

Choose a convenient value for x (such as x = 1) and use the equation of the line to find the corresponding value of y.

Plot this point on the coordinate plane.

Repeat the process for several more values of x to obtain additional points on the line.

Connect the dots:

Draw a line through the points that you have plotted, connecting them to form the graph of the line.

Note: The line y = -1/3x - 7 will have a negative slope and will decrease as x increases, which means that the line will slope downward from left to right.

The length DL of the rhombus is 24 units

The figure that completes the question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

DA = 4x

AL = 5x - 3

This means that

DA = A:

So, we have

5x - 3 = 4x

Evaluate the like terms

x = 3

So, we have

DL = 2 * DA

This gives

DL = 2 * 4 * 3

Evaluate

DL = 24

Hence, the length is 24 units

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The value of the equation is x + y = -29 , where x = -15 and y = -14

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

x + y = -29   be equation (1)

when x = -15

Substitute the value of x in the equation , we get

-15 + y = -29

Adding 15 on both sides of the equation , we get

y = -29 + 15

y = -14

Therefore , the value of x and y is -15 and -14 respectively

Hence , the equation is x + y = -29

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Answer:

26582

Step-by-step explanation:

Team A needs to sell 255 bags of popcorn to reach their goal of $100.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Team A will sell the bags of popcorn for $0.50 each.

Team B will sell the cotton candy for $0.75 per stick.

Let the number of bags of popcorn sold by Team A be "x".

So, the total cost for the popcorn machine rental and supplies is

= $15 + 0.05x.

To reach their goal of $100

$100 = 0.5x - ($15 + 0.05x)

$100 = 0.5x - $15 - 0.05x

$115 = 0.45x

x = $115 / 0.45

x = 255 bags of popcorn

Thus, Team A needs to sell 255 bags of popcorn.

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The probability that she hears her 2 favorite songs will be 0.01

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

The probability of hearing the first favorite song is 1/10.

The probability of also hearing the next favorite song is 1/10.

The probability will be:

= 1/10 × 1/10

= 1/100

= 0.01

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Serena has a playlist of 10 songs .she plays 2 songs . Find the probability that she hears her favorite song first and her next favourite second.

10 ,  [ -3 , 4 ] and  [ 0 , 0 ] are the values in linear equation .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                        The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

a = [ 3, -4 ]

b = [ -3,4 ]

a + b =  [ 3, -4 ] +  [ -3,4 ]

     = [ 0 , 0 ]

2a + 3b  = 2  [ 3, -4 ] + 3 [ -3,4 ]

             = [6 , -8 ] + [-9 , 12 ]

             = [ -3 , 4 ]

l a - b l = l [ 3, -4 ] -  [ -3,4 ]

          = l [ 6 , -8 ] l

           = √36 + 64

           = √100

             = 10

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18 meters = 59.0551 foot. Meter to Feet Conversion : One meter is approximately equal to 3.28084 feet. To convert meters to feet, multiply the given meter value by 3.28084 feet.

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Answer:

Step-by-step explanation:

Answer: 4x+20

Step-by-step explanation:

4x5=20

4x1x=4x

The prices of the two stocks will be the​ same after 3 hours from noon.

A stock, also known as equity, is a security that represents the ownership of a fraction of the issuing corporation.

Given that, The price of Stock A at 9 A.M. was $12.71. Since​ then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $13.46. It begins to decrease at the rate of $0.13 each hour.

Let the hours when they equalize at h, then we have:

12.71 + 0.12h = 13.46 - 0.13h

0.25h = 0.75

h = 3

Hence, the prices of the two stocks will be the​ same after 3 hours from noon.

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Answer:

y=-1/3x+1

Step-by-step explanation:

3x+9y=9

First take your x and transfer it to the other side of the = by doing the opposite.

3x+9y=9

-3x -3x

9y=9-3x

You must then switch the -3x and 9 so that it stays in y intercept form

9y=-3x+9

Then you need to get y by itself by dividing both sides by 9.

y=-3x/9+1

Lastly simplify the fraction left from the division.

y=-1/3x+1