Find the scale factor of Figure A to Figure B.

14

36

B

20

А

25. 2

o

9/5

The area of the shaded region of the circle is 89.75 mi².

The area of a sector of a circle, you can use the formula:

A = (θ/360) × π × r²

Where A is the area of the sector, θ is the central angle of the sector, r is the radius of the circle, and π is a constant approximately equal to 3.14.

From the diagram, angle of the unshaded sector equals 150 degree.

Angle of the shaded region = 360 - 150 = 210 degree

Radius r = 7 miles.

We can substitute these values into the formula and solve for the area A.

A = (θ/360) × π × r²

A = ( 210/360 ) × 3.14 × 7²

A = ( 210/360 ) × 3.14 × 49

A = 89.75 mi²

Therefore, the area of the sector is approximately 89.75 mi².

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Answer:

5,6,-7

Step-by-step explanation:

yuh jsjsksmsksksks

Answer:

5,6,7

Step-by-step explanation:

A coefficient is a number multiplied by a variable.

Answer:

r

Step-by-step explanation:

e

Answer: x=26

Step-by-step explanation:

The statement: "a time series model with a seasonal pattern will always involve quarterly data" is False.

A seasonal pattern in time series analysis refers to the repeated patterns that occur at regular intervals over time. These patterns can occur on a daily, weekly, monthly, quarterly, or yearly basis depending on the nature of the data. For example, seasonal patterns can be observed in monthly sales of retail products, weekly traffic volume, daily temperature, or hourly electricity consumption.

Therefore, a time series model with a seasonal pattern can involve any type of periodic data, not just quarterly data. However, if the data is quarterly, then the seasonal pattern will be observed every quarter, which can be useful in modeling and forecasting the data. But it is not necessary for a seasonal pattern to be quarterly. It can occur at any periodicity depending on the nature of the data.

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The solutions to the logarithm equations are;

1)  Log₅3 = 0.6826

2)  Log₅(27/50) = -0.383

There are different rules of logarithm such as;

Product rule which is; Log a + Log b = Log (ab)

Quotient rule which is; Log a - Log b = Log(a/b)

Power rule which is; Log aˣ = x log a

We are given that;

Log₅2 = 0.4308

Log₅27 = 2.0478

We know that 27 = 3³. Thus;

Log₅27 = Log₅3³

Using power rule, we have;

Log₅3³ = 3Log₅3

Thus;

Log₅27 = 3Log₅3 = 2.0478

1) We want to solve Log₅3

We have;

3Log₅3 = 2.0478

Thus;

Log₅3 = 2.0478/3 = 0.6826

2)  Log₅(27/50)

Using quotient rule, we have;

Log₅27 -  Log₅50

This can also be expressed as;

Log₅3³ - Log₅ (25 * 2)

= 3Log₅3 - [2Log₅5 + Log₅2]

= 2.0478 - 2 - 0.4308

= -0.383

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Answer: yes, the value of x is 4 and angle HEB is 36 degrees

Step-by-step explanation:

1a. Find the value of angle CEB

Given that line segment AB and line segment EC are perpendicular you know they are right angles and therefore are equal to 90 degrees

2a.set up an equation

After noticing that angle CEB is 90 degrees you know that angle HEB+CEH=90 degrees: 13x+9x+2

3a. Solve the equation

13x+9x+2=90

22x+2=90 | combine like terms

22x=88 | subtract 2 from both sides

x=4 | divide by 22 on both sides

1b. Set up equation

Knowing x=4 and that angle HEB is 9x the equation is 9(4)

2b. Solve the equation

9(4)

36

Answer:

$32.25

Step-by-step explanation:

first, we devide the price by 100 to know what %1 out of %100 is.

so, 129 ÷ 100 = 1.29.

then, we multiply our answer with 25, since we are looking for what %25 is equal to.

1.29 × 25 = $32.25.

or you could devide the full price (129) by 4, since %25 is a quarter of %100

The amount discounted from the original price is $32.25.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

Given that,

Regular price of nike sneakers = $129

Percentage of discount = 25%

Amount discounted from the original price = 25% × 129

                                                                       = (25 / 100) × 129

                                                                       = 0.25 × 129

                                                                       = 32.25

Hence the amount discounted is $32.25.

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Answer:

\(6 \frac{1}{12}\)

Step-by-step explanation:

1) Use Least Common Denominator or (LCD)

LCD = 12

2) Make the denominators the same as the LCD.

\(5 + \frac{1 times 4 }{3 times 4 } + \frac{3 times3}{4times 3}\)

3) Simplify. Denominators are now the same.

\(5 + \frac{4}{12} +\frac{9}{12}\)

4)  Join the denominators.

\(5+ \frac{4+9}{12}\)

5)  Simplify.

\(5+\frac{13}{12}\)

6) Convert 13/12 into a mixed number.

\(5+ 1 \frac{1}{12}\)

7)  Simplify.

\(6 \frac{1}{12}\)

Decimal Form: 6.083333

The following versions of the underlined text would best accomplish this goal is an inconvenient and time-consuming process

This version of the underlined text best accomplishes the writer's goal of providing evidence to clarify the previous sentence's point about what advocates fail to consider. By mentioning that compliance with local building codes is an inconvenient and time-consuming process, it highlights a significant factor that advocates may overlook when promoting the idea of purchasing or renting land for a tiny home. This evidence emphasizes the challenges and potential barriers involved in the process, which helps to clarify the previous point and provide a more comprehensive understanding of the situation.

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The value of x is 8

Supplementary angles are defined as pair of angles that sum up to 180 degrees.

The properties of supplementary angles include;

Given the angles as;

Equate the angles to 180 degrees

83 + 12x + 1 = 180

collect like terms

12x = 180 - 84

subtract the values

12x = 96

Divide both sides by the coefficient of 12

12x/12 = 96/12

Divide the values

x = 8

Hence, the value is 8

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Answer:

The number is -136.

Step-by-step explanation:

Let the number be x, so we have the equation:

x + 2 = 7/8 x - 15

x - 7/8 x = -15 - 2

1/8 x = -17

x = -17 * 8 = -136.

Rounding to the nearest cent, the ticket price should be set at $29.50 to maximize revenue.

Ans: The link between the quantity of a given commodity that is requested and the factors that affect it is depicted by the demand function. Explain the demand law. The law of demand states that, ceteris paribus, there is an inverse connection between price and quantity desired.

p = mx + b

where m is the slope and b is the y-intercept. We can find the slope m using the two points (49000, 10) and (51000, 8):

m = (8 - 10) / (51000 - 49000) = -0.001

To find the y-intercept b, we can use the point (49000, 10):

10 = -0.001(49000) + b

b = 59

Therefore, the demand function is:

p = -0.001x + 59

b) The revenue R is given by:

R = p * x

Substituting the demand function we obtained in part (a), we get:

R = (-0.001x + 59) * x

Simplifying:

R = -0.001x^2 + 59x

To maximize revenue, we need to find the value of x that corresponds to the vertex of the parabola. The x-coordinate of the vertex is given by:

x = -b / (2a)

where a = -0.001 and b = 59. Substituting:

x = -59 / (2(-0.001)) = 29500

Therefore, to maximize revenue, attendance should be set at 29,500. Substituting into the demand function, we get:

p = -0.001(29500) + 59 = 29.5

Rounding to the nearest cent, the ticket price should be set at $29.50 to maximize revenue.

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The demand function is:p(x) = -500x + 54,000

The ticket price that maximizes revenue is $0.28

What is revenue?

Revenue refers to the total amount of money earned by a company through the sale of goods or services, before deducting any expenses or costs. It is a key financial metric used to measure a company's financial performance.

A demand function is a mathematical equation that represents the relationship between the quantity of a good or service that consumers are willing and able to purchase at a given price, and other factors that affect consumer behavior such as income, preferences, and the prices of related goods.

According to the given information:

a)To find the demand function, we can use the two data points provided:

When ticket price was $10, attendance was 49,000.

When ticket price was $8, attendance was 51,000.

Let p be the ticket price and x be the attendance.

We can find the equation of the line that passes through the two points using the slope-intercept form of a linear equation:

slope = (change in y) / (change in x) = (51,000 - 49,000) / ($8 - $10) = 1000 / (-2) = -500

y-intercept = 49,000 - (-500) * $10 = 54,000

Thus, the demand function is:

p(x) = -500x + 54,000

b) To maximize revenue, we need to find the attendance level that will generate the highest revenue. Revenue is calculated by multiplying ticket price by attendance:

R(x) = p(x) * x

R(x) = (-500x + 54,000) * x

R(x) = -500x^2 + 54,000x

To find the attendance level that maximizes revenue, we can take the derivative of the revenue function and set it equal to zero:

dR/dx = -1000x + 54,000 = 0

x = 54

The revenue is maximized when the attendance is 54,000. To find the corresponding ticket price, we can plug x = 54,000 into the demand function:

p(54,000) = -500(54,000) + 54,000 = $15,000

Thus, the ticket price that maximizes revenue is $15,000 / 54,000 = $0.28 (rounded to the nearest cent).

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Answer:

BC = 9 cm

Step-by-step explanation:

given a tangent and a secant drawn from an external point to the circle then the square of the measure of the tangent is equal to the product of the secants external part and the entire secant.

let BC = x , then

x(x + 7) = 12²

x² + 7x = 144 ( subtract 144 from both sides )

x² + 7x - 144 = 0 ← in standard form

(x - 9)(x + 16) = 0 ← in factored form

equate each factor to zero and solve for x

x - 9 = 0 ⇒ x = 9

x + 16 = 0 ⇒ x = - 16

however , x must be greater than zero, then x = 9

that is BC = 9 cm

The calculation; (9.04-8.23+21.954+81.0) * 3.1416 should have three significant figures.

To determine the number of significant figures in a calculation, we follow these rules:

1. When adding or subtracting numbers, the result should have the same number of decimal places as the number with the fewest decimal places.

2. When multiplying or dividing numbers, the result should have the same number of significant figures as the number with the fewest significant figures.

Let's calculate the expression:

(9.04 - 8.23 + 21.954 + 81.0) * 3.1416

First, perform the addition and subtraction:

(0.81 + 21.954 + 81.0) * 3.1416

= 103.764 * 3.1416

Next, perform the multiplication:

325.8512544

To determine the number of significant figures, we look at the original numbers involved in the calculation.

9.04 has three significant figures.

8.23 has three significant figures.

21.954 has five significant figures.

81.0 has three significant figures.

3.1416 has five significant figures.

Among these numbers, the number with the fewest significant figures is 81.0 with three significant figures.

Therefore, the result of the calculation, 325.8512544, should have three significant figures to match the least precise value.

In scientific notation, the result would be expressed as 3.26 x 10^2.

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The given calculation would yield a result with five significant figures because we base our significant digits off of the least precise term within the parentheses, which is 81.0. The result is then rounded according to this rule.

In the case of the calculation (9.04-8.23+21.954+81.0) * 3.1416, it's important to first consider the rule for significant figures in calculations - the result should be reported with the smallest number of decimal places in the numbers used in the calculation. The number 81.0 has two numbers after the decimal point, therefore, our final answer should have two numbers after the decimal point. When you calculate the inside of the parentheses, the result is 103.764. Multiplying that by 3.1416 would approximately yield 325.854. Rounding this to the least precise measurement (which is to two decimal places due to 81.0) would give us 325.85 which has five significant figures, effectively limiting our calculated value to five significant figures.

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There will be only 6  cubes with only one side painted red.

Cube : A cube is a 3D shape having 6 equal square sides. it has 6 faces , 8 vertices and 12 edges.

According to the question

A 3 cm cube is divided into one centimeter cube.

Every face will have 9 cube each and from that 9 cube there will be only one 1 cube that will have one side painted red.

Since there are 6 faces,

cubes painted one side red = 6x1=6.

Therefore , There will be only 6  cubes with only one side painted red.

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Answer:

B) x = √118 mi

Step-by-step explanation:

This is a right triangle, so we can the measure of x using the Pythagorean theorem, which is

a^2 + b^2 = c^2, where

Step 1:  Plug in x and √26 for a and b and 12 for c and simplify:

x^2 + (√26)^2 = 12^2

x^2 + 26 = 144

Step 2:  Subtract 26 from both sides to isolate x^2:

(x^2 + 26 = 144) - 26

x^2 = 118

Step 3:  Take the square root of both sides to isolate x:

√(x^2) = √118

x = √118 mi

Given the polynomial equation, $x^3+x^2=25x+25$Factorize the polynomial equation by grouping, then solve the polynomial equation by factoring the polynomial equation.\($$x^3+x^2-25x25=0$$$$x^2(x+1)-25(x+1)=0$$$$\Rightarrow (x^2-25)(x+1)=0$$\)Using difference of squares,\($$x^2-25=(x+5)(x-5)$$.\)

The polynomial equation in factored form is\($$(x+5)(x-5)(x+1)=0$$\)We can solve for $x$ by making each of the factors equal to zero, then solving for \($x$.$$\begin{aligned} x+5&=0 \\\ x&=-5 \\\ x-5&=0 \\\ x&=5 \\\ x+1&=0 \\\ x&=-1 \end{aligned}$$\), the solutions of the polynomial equation\($x^3+x^2=25x+25$ i\)n factored form are \($x=-5,5$ or $-1$.\)

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The volume of the solid is 9 cubic units, which is determined by the base in the first quadrant bounded by the y-axis, the graph of y = x-1, the horizontal line y = 3, and the vertical line x = 1. As the cross sections perpendicular to the x-axis are squares, the volume can be calculated.

The volume of the solid can be calculated by finding the area of the base and then multiplying it by the height of the solid. The base of the solid is in the first quadrant and is bounded by the y-axis, the graph of y = x-1, the horizontal line y = 3, and the vertical line x = 1. This region forms a trapezoid, with an area of 6. As the cross sections perpendicular to the x-axis are squares, the height of the solid is 3 units. Thus, the volume of the solid is 6 multiplied by 3, which gives us a total volume of 9 cubic units. To calculate the volume, it is important to identify the base of the solid and the shape of the cross sections perpendicular to the x-axis. This will allow us to calculate the area of the base, and multiply it by the height of the solid to determine the total volume.

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The length of the other leg is approximately 7.1 cm.

Let's use the Pythagorean theorem to solve this problem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

In this case, let's call the length of the other leg "x". Then, we have:

\(10^{2}\) = \(7^{2}\) + \(x^{2}\)

Simplifying and solving for x, we get:

100 = 49 + \(x^{2}\)

\(x^{2}\) = 51

x ≈ 7.1

Therefore, the length of the other leg is approximately 7.1 cm.

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Approximately 304,657,600 Americans were there in July 2009 based on the estimated 2008 growth rate of 0.88%.

To find the approximate US population in July 2009, we need to apply the growth rate of 0.88% to the initial population in July 2008.

Convert the growth rate from percentage to decimal:

0.88% = 0.0088
Calculate the number of people added to the population in 2008: 302,000,000 * 0.0088 = 2,657,600
Add this number to the initial population to find the population in July 2009:

302,000,000 + 2,657,600 = 304,657,600.

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Therefore, the set of points that does not determine a spherical triangle is any set of three non-collinear points that do not lie on a great circle of the sphere.

Explanation: A spherical triangle is a triangle formed on the surface of a sphere by three great circle arcs intersecting pairwise to form three vertices. Any three points that do not lie on a great circle of the sphere will not determine a spherical triangle. Therefore, the set of points that does not determine a spherical triangle is any set of three non-collinear points that do not lie on a great circle of the sphere. Any set of three non-collinear points that do not lie on a great circle of the sphere does not determine a spherical triangle.

Therefore, the set of points that does not determine a spherical triangle is any set of three non-collinear points that do not lie on a great circle of the sphere.

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Answer: The answer is 21.1304347826 or 21.13 rounded

Step-by-step explanation:

hope this helps

The probability that the other child is also a girl, given that one of them is a girl, is 2/3 or approximately 0.6667.

To determine the probability that the other child is also a girl given that one of them is a girl, we need to consider the possibilities of the gender combinations for Alice's two children.

Let's denote the gender of the first child as G (girl) and B (boy), and the gender of the second child as G' and B'.

There are four possible combinations for the gender of the two children: GG, GB, BG, and BB.

However, we are given that one of the children is a girl. This eliminates the BB combination since we know both children cannot be boys.

Thus, we are left with three possible combinations: GG, GB, and BG.

Out of these three combinations, two of them involve at least one girl: GG and GB. This means there is a 2 out of 3 chance that the other child is a girl.

Therefore, the probability that the other child is also a girl, given that one of them is a girl, is 2/3 or approximately 0.6667.

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Answer:

Step-by-step explanation:

Step one:

given

selling price = $48

discount is 50%

tax= 4.5%

Step two:

let us first compute the amount in discount

=50/100*48

=0.5*48

=$24

also, let us compute the tax added

=4.5/100*48

=0.045*48

=$2.16

The total amount Garry has to pay is

=48-24+2.16

=$26.16

Step three:

If he has $25, he cannot afford the video game, he will have a deficit of $1.16

Answer: Gary will have to pay $25.08 in all, and if he has exactly $25, he can't afford to purchase the game because he only has $25, and he has to pay $25.08. $25.08 is more than $25, so he can't afford the game.

Step-by-step explanation:

First, subtract the $48 and 50% to find how much the video game costs.

So, $48-50%=24

Then, add the price of the video game, $24, to the 4.5% tax.

24+4.5%=25.08

Thus, Gary will need to pay $25.08 in all.

Answer:

\(1)\ S = \sqrt{60}\ in\)

\(2)\ 16\ and\ -16\)

\(3)\ s = \sqrt[3]{1833}\)

\(4)\ X = 6\)

\(5)\ X = 0.75\)

Step-by-step explanation:

\(1)\)

\(A = S^2\)

\(S^2 = 60\)

\(S = \sqrt{60}\)

\(2)\)

\(X^2 = 256\\\)

\(16^2 = 256, -16^2 = 256\)

\(3)\)

\(V = S^3\)

\(S^3 = 1833\)

\(s = \sqrt[3]{1833}\)

\(4)\)

\(X^3 = 216\\\)

\(X = \sqrt[3]{216}\)

\(X = 6\)

\(5)\)

\(X^3 = \frac{27}{64}\)

\(X = \sqrt[3]{\frac{27}{64}}\)

\(X = \frac{\sqrt[3]{27}}{\sqrt[3]{64}}\)

\(X = \frac{3}{4}\)

Answer:

X = 9, in other words it's A

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

x+7=-2

 -7   -7

-7 plus -2 equal 9

:) hope that helped

The area of shape is the amount of space it covers.

The length of the square is: 85 inches

From the question, we have:

\(Area = 7225\)

The area of a square is:

\(Area =Length^2\)

Take square roots of both sides

\(\sqrt{Area} =Length\)

Rewrite as:

\(Length = \sqrt{Area}\)

Substitute 7225 for Area

\(Length = \sqrt{7225}\)

The prime factors of 7225 are: \(5,5,17,17\)

So, we have:

\(Length = \sqrt{5 \times 5 \times 17 \times 17}\)

Express as squares

\(Length = \sqrt{5^2 \times 17^2}\)

Split

\(Length = \sqrt{5^2} \times \sqrt{17^2}\)

Evaluate each exponent

\(Length = 5 \times 17\)

\(Length = 85\)

Hence, the length of the square is: 85 inches

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Answer:

x=122/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(x+1)(3)−10=740

18x+18+−10=740(Distribute)

(18x)+(18+−10)=740(Combine Like Terms)

18x+8=740

18x+8=740

Step 2: Subtract 8 from both sides.

18x+8−8=740−8

18x=732

Step 3: Divide both sides by 18.

18x

18

=

732

18

x=

122

3

Answer:

x= 122/3