A water park offers two types of membership an unlimited use for $70 per month or a monthly $10 fee and $5 per visit which is the better plan?

Answer:

that these angles are inclusive of 0° and 360° because the question states that 0° ≤ Θ ≤ 360°.

Step-by-step explanation:

If csc Θ is undefined, that means that the sine of the angle is zero, because csc Θ is the reciprocal of the sine function, and division by zero is undefined.

So we need to find all the angles where sin Θ = 0.

The sine function is equal to zero at multiples of 180 degrees, so the solutions to sin Θ = 0 are:

Θ = 0°, 180°, 360°

Note that these angles are inclusive of 0° and 360° because the question states that 0° ≤ Θ ≤ 360°.

Answer:

90 buttons

Step-by-step explanation:

the ratio of yellow : blue = 2 : 3 = 2x : 3x ( x is a multiplier )

after buying 27 more blue buttons

2x : 3x + 27 = 4 : 9

expressing the ratios in fractional form

[tex]\frac{2x}{3x+27}[/tex] = [tex]\frac{4}{9}[/tex] ( cross- multiply )

18x = 4(3x + 27)

18x = 12x + 108 ( subtract 12x from both sides )

6x = 108 ( divide both sides by 6 )

x = 18

number of buttons at first = 2x + 3x = 5x = 5 × 18 = 90

Answer:144

Step-by-step explanation:

Marcus is 30 years younger than his mother. Marcus' mother's current age is 35 years old.

To find Marcus' mother's current age, we need to use a system of equations.

Let:

x = Marcus' current age

y = his mother's current age.

We can write two equations based on the information given:

x = y - 30 (Marcus is 30 years younger than his mother)
x + 5 = 1/4(y + 5) (In 5 years, Marcus' age will be 1/4 of his mother's age)

Now we can substitute the first equation into the second equation and solve for y:

y - 30 + 5 = 1/4(y + 5)
y - 25 = 1/4y + 5/4
(3/4) y = 105/4
y = 105/3 = 35

So Marcus' mother's current age is 35 years old.

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Answer:

[tex]7y {}^{2} = 0[/tex]

Answer:

the correct answer is y = -1/2x + 6

Step-by-step explanation:

Answer: (Give brainliest)
a = 4.5
type of segment = Angle Bisector
property = property of XT/WY = XY/WZ

Step-by-step explanation:

The table shows the number of pounds, x, of coffee ordered and the total price, y, in dollars, of each order. X 5 6 7 10 y $35 $42 $49 $70 Which best represents the units for the rate of change (rise over run) in the table? a.dollars. b.dollars per pound. c.pounds b.pounds per dollar

To find the units for the rate of change (rise over run), we need to determine the change in y (rise) divided by the change in x (run) for any two points in the table.

Let's choose the first and last points in the table, (5, $35) and (10, $70), respectively. The change in y is $70 - $35 = $35, and the change in x is 10 - 5 = 5. So the rate of change (rise over run) is:

rise/run = $35/5 = $7

Therefore, the best representation for the units of the rate of change is dollars per pound, as the rate of change indicates how much the price changes for every pound of coffee ordered. So the answer is (b) dollars per pound.

The partial tax bracket is the 24% tax bracket.

To determine your tax bracket, you need to know your taxable income, which is your gross pay minus any applicable deductions and exemptions. Based on the information provided, your taxable income is $68,282.

In the United States, the federal tax brackets for the tax year 2022 (for taxes filed in 2023) are as follows:

Based on these tax brackets, you would be in the 24% tax bracket, since your taxable income is between $86,376 and $164,925.

However, it's important to note that the marginal tax rate, which is the rate applied to your last dollar of income, does not reflect the average tax rate you will pay on your entire taxable income. Your actual tax liability will depend on the total amount of your taxable income and any other applicable tax credits or deductions.

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The slope-intercept form of the equation of the given line which passes through the points ( – 8,9) and ( – 2, – 9) is:

     y = -3x - 15

What is meant by slope-intercept form of the line equation?

The slope (m) and the y-intercept (b) of a line are highlighted in the slope-intercept form of linear equations (y=mx+b). One of the most popular ways to represent a line's equation is in the slope-intercept form of a straight line. When the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis) are known, the slope-intercept formula can be used to determine the equation of a line. The equation of a line is the equation that each point on the line fulfils.

Given the line passes through the points  (– 8,9) and ( – 2, – 9).

When only two points on the line are given,  the equation of the line is:

y - y₁ = m ( x - x₁)

m = slope = [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex] = (-9 - 9)/ ( -2 -(-8)) = -18/ 6 = -3

Substituting,

y - 9 = -3 ( x - ( -8))

y - 9 = -3x -24

y = -3x - 15

Therefore the slope-intercept form of the equation of the given line is:

     y = -3x - 15

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Answer:

  3.0549 MJ

Step-by-step explanation:

You want to know the work done to empty a half-full spherical tank of radius 3 m containing liquid of density 900 kg/m³ through a 2 m spout at the top of the tank.

The mass of the liquid is the product of its volume and its density. The volume of the hemisphere is ...

  V = 2/3πr³ = 2/3π(3³) = 18π . . . . . . cubic meters

Then the mass of the liquid is ...

  m = ρV = (900 kg/m³)(18π m³) = 16200π kg

The centroid of the liquid is 3/8r below the center of the tank. The mass of liquid must be moved from that location to a point 2 m above the top of the tank. The total height the liquid must be moved is ...

  3/8(3 m) + 3m + 2m = 6.125 m

The work done to lift the liquid is ...

  W = Fd = (m·g)d = (16200π kg)(9.8 m/s²)(6.125 m) = 972405π J

  W ≈ 3,054,900.4 J ≈ 3.0549 MJ

The work required is about 3.0549 megajoules.

__

Additional comment

We could find the incremental work to move a layer of liquid dy thick to the necessary height, then integrate over the depth of liquid. It is much easier to look up the centroid location for a hemisphere, and use that in the calculation.

We have used "m" to represent both mass and meters. We trust you can determine which is which from the context.

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The proper combined percentage, Pc, for the disparity in population proportions between the two cities' support for the candidate (J minus K) is: 0.65−0.60 / √(0.62) (0.38) (1/100 + 1/125)

Therefore, the correct answer is  0.65−0.60 / √(0.62) (0.38) (1/100 + 1/125)

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Answer:

Two-Sample Z-Test. The Two-Sample Z-test is used to compare the means of two samples to see if it is feasible that they come from the same population. The null hypothesis is: the population means are equal.

Step-by-step explanation:

have a nice day.

Correct numerical expression is G. 6(18)2 – 27(6)(12).

In mathematics, an expression is a combination of numbers, symbols and operations such as addition, subtraction, multiplication and division that may be evaluated to produce a single number, a variable or a set of numbers.

This expression calculates the number of cubic inches of the box filled with packing material by subtracting the volume of the cylinder from the volume of the cube. The volume of the cube is 6(18)2, and the volume of the cylinder is 27(6)(12). Thus, the number of cubic inches of the box filled with packing material is 6(18)2 – 27(6)(12).

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For the given data, the best measure of variability is the interquartile range (IQR) and its value is 18.5.

What is variability?

The extent to which data points in a statistical distribution or data collection diverge or vary from the average value, as well as the extent to which these data points differ from one another, is practically by definition the concept of variability.

The given stem and leaf plot is:

stem          leaf

0                 5

1                   0, 3,7

2                  4,6,8

3                   2

5                    8

The value in the stem is the ten's place and the value in the leaf is the one's place.

So the scores are 05, 10, 13, 17, 24, 26, 28, 32 and 58.

Because extreme values and outliers have a smaller impact on the interquartile range than the complete data range, statisticians prefer using them to measure variability. To understand the centre and spread of your data, utilise the IQR along with a measure of central tendency, like the median.

Range for this data = 58 - 5 = 53.

To find the Inter Quartile Range (IQR), we first find the median.

Median = 24

So Q1 is the first quartile.

This is the median of the first half of the scores(5,10,13,17).

Q1 = 10+13 / 2 = 11.5

Q3 is the third quartile.

This is the median of the second half of the scores (26, 28, 32 58).

Q3 = 28+32 / 2 = 30

Now,

IQR = Q3 - Q1 = 30 - 11.5 = 18.5

Therefore for the given data, the best measure of variability is the interquartile range (IQR) and its value is 18.5.

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Answer:

Step-by-step explanation:

For the given data, the best measure of variability is the interquartile range (IQR) and its value is 18.5.

What is variability?

The extent to which data points in a statistical distribution or data collection diverge or vary from the average value, as well as the extent to which these data points differ from one another, is practically by definition the concept of variability.

The given stem and leaf plot is:

stem          leaf

0                 5

1                   0, 3,7

2                  4,6,8

3                   2

5                    8

The value in the stem is the ten's place and the value in the leaf is the one's place.

So the scores are 05, 10, 13, 17, 24, 26, 28, 32 and 58.

Because extreme values and outliers have a smaller impact on the interquartile range than the complete data range, statisticians prefer using them to measure variability. To understand the centre and spread of your data, utilise the IQR along with a measure of central tendency, like the median.

Range for this data = 58 - 5 = 53.

To find the Inter Quartile Range (IQR), we first find the median.

Median = 24

So Q1 is the first quartile.

This is the median of the first half of the scores(5,10,13,17).

Q1 = 10+13 / 2 = 11.5

Q3 is the third quartile.

This is the median of the second half of the scores (26, 28, 32 58).

Q3 = 28+32 / 2 = 30

Now,

IQR = Q3 - Q1 = 30 - 11.5 = 18.5

Therefore for the given data, the best measure of variability is the interquartile range (IQR) and its value is 18.5.

I totally didnt copy   - 0                                  

This equation reflects the passenger's height above the ground after t minutes: H = 14 + 3 + (10)sin(2πt/11) + (3)sin(2πt/6).

An equation in mathematics is a statement that two mathematical expressions are equal. Equations are used to represent mathematical relationships and to describe the behavior of systems or processes. An equation typically consists of two sides, separated by an equal sign (=). On one side of the equal sign is the expression representing what is known or given, and on the other side is the expression representing what is being found or sought. Equations can be used to model real-world situations, to describe the behavior of mathematical functions, to solve problems, and to make predictions. They are an important tool in many areas of mathematics and science, including algebra, calculus, physics, and engineering.

Here,

The height of a passenger on a double Ferris wheel can be calculated by considering the combined effect of two rotations: the rotation of the large arm and the rotation of the smaller wheel.

Let's call the length of the small arm as x, which is equal to half of the diameter of the small wheel, i.e. x = 3.

At time t = 0, the passenger is at point P, which is x meters above the ground. As the large arm rotates, the height of the passenger will change according to the formula:

H = 14 + x + (20/2)sin(2πt/11)

Where H is the height above the ground after t minutes, and (20/2) is half of the diameter of the large arm.

Additionally, as the small wheel rotates, the height of the passenger will change according to the formula:

H = H + (3)sin(2πt/6)

So, combining both the effects, the height of the passenger on the Ferris wheel can be expressed as:

H = 14 + 3 + (10)sin(2πt/11) + (3)sin(2πt/6)

This equation represents the height of the passenger above the ground after t minutes: H = 14 + 3 + (10)sin(2πt/11) + (3)sin(2πt/6).

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The solution to the two simultaneous linear equations are;

x = -2 and y = -2

There are three main ways of solving simultaneous linear equations and they are;

Elimination method

Substitution method

Graphical Method

The two simultaneous equations are;

y = 2x + 2   -----(1)

y = x    -----(2)

Plug in eq 2 into eq 1 to get;

x = 2x + 2

x - 2x = 2

-x = 2

x = -2

Thus, y = -2

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Answer:

the angles of the triangle are 45 degrees, 60 degrees, and 75 degrees, and they are in the ratio of 3 : 4 : 5.

Step-by-step explanation:

Let's denote the angles of the triangle as 3x, 4x, and 5x, where x is a constant.

Since the sum of the angles of a triangle is 180 degrees, we can write the following equation:

3x + 4x + 5x = 180

Simplifying this equation, we get:

12x = 180

Dividing both sides by 12, we get:

x = 15

Therefore, the angles of the triangle are:

3x = 3(15) = 45 degrees

4x = 4(15) = 60 degrees

5x = 5(15) = 75 degrees

So the angles of the triangle are 45 degrees, 60 degrees, and 75 degrees, and they are in the ratio of 3 : 4 : 5.

The expression S÷7 when s = 4 is simplified to 4/7

A fraction can be described as the part of a whole variable, number or element

There are several types of fractions which includes;

From the information given, we have that;

S÷7 is the given expression as a quotient.

For s = 4, we have to substitute the value of s as 4 in the expression, we have;

4/7

Hence, it is an example of a proper fraction where the denominator is greater than the numerator.

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If a residual is negative, then that data point lies below the regression line. In a regression analysis, the goal is to find the line that best describes the relationship between two variables.

The line is determined by finding the values of the slope and intercept that minimize the sum of the squared errors between the observed data points and the predicted values on the line.

The difference between the actual value of the dependent variable and the predicted value on the line is known as the residual. A residual represents the vertical distance between the observed data point and the regression line.

If the residual is positive, it means that the observed value is above the regression line, and if the residual is negative, it means that the observed value is below the regression line.

When a residual is negative, it means that the predicted value on the regression line is higher than the actual value of the dependent variable for that particular data point. In other words, the observed data point is lower than what we would expect based on the relationship described by the regression line.

This situation indicates that the regression line may not fit the data very well at that point, and it may be worth investigating further to see if there are other factors that may be affecting the relationship between the two variables.

In summary, a negative residual means that the observed data point lies below the regression line, and it indicates that the regression line may not be the best fit for that particular data point.

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The volumes of the objects are;

1)  252 in^3

2) 850 cm^3

3) 90 cm^3

4) 936 feet^3

5)  168 cm^3

6)  125 m^3

The volume of a cube can be found by using the formula:

V = s^3

where V is the volume and s is the length of one side of the cube. In other words, the volume of a cube is equal to the length of one side of the cube raised to the power of 3.

1) Volume = 7 * 9 * 4 = 252 in^3

2) Volume = 50 * 17 = 850 cm^3

3) Volume = 30 * 3 = 90 cm^3

4) Volume = 6 * 12 * 13 = 936 feet^3

5) Volume = 56 * 3 = 168 cm^3

6) Volume = 5^3 = 125 m^3

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The radius of the sphere is 2.82 cm. Then the volume of the sphere will be 94.05 cubic cm.

Let r be the radius of the sphere. Then the volume of the sphere will be given as,

V = 4/3 πr³ cubic units

The surface area of the sphere is 100 square cm. Then the radius of the sphere is given as,

100 = 4πr²

r = 2.82 cm

Then the volume of the sphere is given as,

V = 4/3 x π x 2.82³

V = 1.33 x 3.14 x 22.465

V = 94.05 cubic cm

The volume of the sphere will be 94.05 cubic cm.

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By the analysis of histogram , 40% percent of the cars was less than 20 years old or more than 40 years old.

The histogram may be seen here. Each column lists the age range at the bottom and the number of automobiles in that age group on the left.

The number of vehicles in the first two columns from the left (age 0-9 and 10-19) and the last two columns (age > 40) must be added together to determine the percentage of vehicles with less than 20 years or more than 40 years of age (age 40-49 and 50-59).

The total number of requested vehicles is equal to 8 that is (3 + 2 + 0 + 3).

The total number of automobiles must now be determined (by adding the cars in each column): 3 + 2 + 8 + 4 + 0 + 3 = 20

The ratio of the number of automobiles of the specified age to the total number of cars must then be calculated and converted into a percentage.

[tex]\frac{8}{20}[/tex][tex]= 0.40 = 40%[/tex]

40% percent of the cars was less than 20 years old or more than 40 years old.

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If 1 gallon equals 4 quarts then Lorraine can fill total 8 jars.

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

Given:

Lorraine prepared a 2.5-gallon pot filled with tomatoes to be canned in jars.

First, we need to convert the 2.5 gallons of tomatoes to quarts.

As, 1 gallon = 4 quarts then

2.5 gallons = 2.5 x 4 = 10 quarts.

Now, number of quarts per jar

= 10 quarts / 1.25 quarts/jar

= 8 jars.

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Answer:

Answer is B.

[9 9]

[-3 2]

example: 3+6=9 9+0=9

5+ -8= -3 -2+4= 2

Branly please

Maria uses a coordinate grid to display the following mathematical equation = 8√ 5 (5 + 2√5)

Mathematical expression is defined. A mathematical expression is the collection of mathematical symbols that results from the proper combination of numbers and variables using operations like add, subtract, multiplying, divisions, exponentiation, and other as-yet-unlearned operations and functions.

Mathematical operators like addition, negation, multiplication, and division are used to create expressions in writing. The mathematical equivalent of an English phrase is a correctly arranged set of mathematical characters that expresses a coherent idea.

Here, Points are,

⇒ (1, 3) (5, 7) (5, 5) (8, 9) (8, 3 ) (1, 3)

Clearly, It make pentagon.

And, Area of pentagon = 1/4 √5 (5 + 2√5) a²

Here, The side of pentagon = √ (7 - 3)² + (5 - 1)²

                                          = √4² + 4²

                                          = √32

                                          = 4√2

Thus, Area of figure = 1/4 √5 (5 + 2√5) a²

                              = 1/4 √5 (5 + 2√5) (4√2)²

                              = 8√ 5 (5 + 2√5)

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Answer:Maria uses a coordinate grid to display the following mathematical equation = 8√ 5 (5 + 2√5)

The term "mathematical expression"

Mathematical expression is defined. A mathematical expression is the collection of mathematical symbols that results from the proper combination of numbers and variables using operations like add, subtract, multiplying, divisions, exponentiation, and other as-yet-unlearned operations and functions.

How should a mathematical expression be written?

Mathematical operators like addition, negation, multiplication, and division are used to create expressions in writing. The mathematical equivalent of an English phrase is a correctly arranged set of mathematical characters that expresses a coherent idea.

Here, Points are,

⇒ (1, 3) (5, 7) (5, 5) (8, 9) (8, 3 ) (1, 3)

Clearly, It make pentagon.

And, Area of pentagon = 1/4 √5 (5 + 2√5) a²

Here, The side of pentagon = √ (7 - 3)² + (5 - 1)²

                                         = √4² + 4²

                                         = √32

                                         = 4√2

Thus, Area of figure = 1/4 √5 (5 + 2√5) a²

                             = 1/4 √5 (5 + 2√5) (4√2)²

                             = 8√ 5 (5 + 2√5)

Step-by-step explanation:

There is No solution the system of Equation have.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Slope of Red line = Rise/ Run = 2/3

Slope of Blue line = Rise/ Run = 4/6 = 2/3

As, the two lines have the same slope and hence must be parallel, there are only two options: either they are separate lines, in which case there are no solutions, or they are the same exact line, in which case there are an endless number of solutions.

There are no answers since the two lines must be different since they are parallel and share the same slope but have separate y-intercepts.

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a(x) = b(x) * (3x² - 10x + 21) + (8x - 8)

To divide the polynomial a(x) by b(x), we can use long division as follows:

    3x - 6

-------------------

x² + 2 | 3x² - 4x² + x

- (3x³ + 0x²)

---------------

-4x² + x

- (-4x² - 8)

-------------

8x - 8

Therefore, the quotient is 3x - 6, and the remainder is 8x - 8.

a(x) = b(x) * (3x - 6) + (8x - 8)

   -2 | 3 -4  1  0

      |    -6 20 -42

      |-------------

      | 3 -10 21 -42

The numbers on the bottom row represent the coefficients of the quotient, which are 3, -10, 21. The last number on the bottom row, -42, is the remainder. Therefore, the quotient is:

3x² - 10x + 21

8x - 8

a(x) = b(x) * (3x² - 10x + 21) + (8x - 8)

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