a1: What was the meal's subtotal?
a2: How much was the 18% tip?
a3: What was the TOTAL cost of their meal?
b: If they split the final cost, how much will each pay?

Fraction of the volume of the cone = 1/4 0r 0.25

A cone is a solid that has a circular base and a single vertex.

To calculate its volume, you need to multiply the base area (area of a circle: π × r²) by height and by 1/3:

volume = (1/3) × π × r² × h

Volume of the cone using radius 12inches and height 8inches =

(1/3) × π × 12² × 8

= 0.6981inches³

Volume of the cone using radius 12inches and height 2inches =  

(1/3) × π × 12² × 2

= 0.17453inches³

in order to find the fraction filled with water, we use the

Volume of 2inches/Volume of 8 inches.

0.17453/0.6981

= 0.25 or 1/4

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RogerHub Grade Calculator is an online tool that helps students calculate their current or predicted grades based on their assignments, tests, and exams.

The RogerHub Grade Calculator allows students to input their course information, including the grading scale, assignments, tests, and exams, along with the weights or point values for each. Once the data is entered, the calculator provides the student with their current grade in the course, as well as what they need to score on future assignments or tests to achieve a desired final grade.

This can be a useful tool for students who want to track their progress and make informed decisions about how to prioritize their studies. The calculator can be used for courses at any level, from high school to college and beyond.

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Answer:

0.0651

Step-by-step explanation:

To find 21% of 0.31, we can use the following formula:

21% × 0.31

We can convert the percentage to a decimal by dividing by 100:

0.21 × 0.31

Multiplying these two numbers, we get:

0.0651

Therefore, 21% of 0.31 is 0.0651.

We can convert milliseconds to seconds by using the formula 1 milliseconds = 10⁻³ seconds.

A second is the unit of time. One millisecond is also a unit of time but is it a smaller unit.

We know, Milli is corresponding to 10⁻³.

So, we can write the relation by using the concept of unit conversion.

10⁻³ second = one millisecond.

Now, for example, if we have 2 milliseconds, then it will be equal to 2 x 10⁻³ seconds.

So, now we have to standard formula and we can use it to find the value of the time in milliseconds to second and second to milliseconds.

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The value of x in the triangle is 3.4 cm

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

The triangle

Using the above as a guide, we have the following:

tan(43) = 3.2/x

Make x the subject of the formula

So, we have the following representation

x = 3.2/tan(43)

Evaluate

x = 3.4

Hence, the solution is 3.4

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Therefore , the solution of the given problem of quadratic equation comes out to be the vertex could be above or below the x-axis, but the important point is that the graph does not cross the x-axis.

Regression modelling uses the polynomials conclusion x = ax2 + b + c=0 for one-variable equations. The First Theorem on Algebra claims that as this cubic has a second derivative, there is only one solution. There are simple and complex solutions available. The term "quadratic solution" refers to a set of four variables. This implies that there may only be one squared word.

Here,

A quadratic function that has no real zeros has its vertex above or below the x-axis, but not crossing it. Therefore, the graph should not intersect the x-axis. Here is an example of such a graph:

                     |

                     |

                     |

                     |

                     |

                     |

__________|__________

The vertex could be above or below the x-axis, but the important point is that the graph does not cross the x-axis.

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The area of the rectangle is 23.375 sq feet.

What is area of rectangle ?
The area of a rectangle is the product of its length and width. It is a measure of the region enclosed by the rectangle. In the context of geometry, the area is expressed in square units, such as square inches, square feet, or square meters.

Given by the question:
To find the area of the rectangle, we need to multiply the length and width.

Length = 2 3/4 feet = 11/4 feet

Width = 8 1/2 feet = 17/2 feet

Area = Length x Width

Area = (11/4) x (17/2)

Area = 93.5/4 sq feet

So the area of the rectangle is 23.375 sq feet (when rounded to three decimal places).

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The total surface area of the rectangle is 36.4583125cm squared.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

The surface area of the rectangle can be calculated by multiplying the length of each side by itself. Since the diameter of the rectangle is 2.75cm, each side of the rectangle would be half of the diameter, or 1.375cm. To calculate the surface area, we must then multiply 1.375cm by 1.375cm, which equals 1.8983125cm squared. When combined with the original area of 34.56cm squared, the total surface area of the rectangle is 36.4583125cm squared.

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The two-sample t-test is a statistical test used to compare the means of two independent groups to determine if they are significantly different from each other.

The null hypothesis in a two-sample t-test states that there is no significant difference between the means of the two groups.

The test is performed by calculating the t-statistic, which is a ratio of the difference between the means of the two groups and the standard error of the difference. The t-statistic is then compared to a critical value from the t-distribution with degrees of freedom equal to the sum of the sample sizes minus 2.

If the calculated t-statistic is greater than the critical value, then the null hypothesis is rejected, and it is concluded that there is a significant difference between the means of the two groups. If the calculated t-statistic is less than the critical value, then the null hypothesis is not rejected, and it is concluded that there is not enough evidence to suggest a significant difference between the means of the two groups.

Therefore, the 2 sample t-test of null hypothesis has been explained

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By using the current currency exchange rate , the value of 120 Euros is equivalent to $128.4    .

The "Euro" is the official currency of the European Union, which includes 19 of its member states. and  The "US dollar", is official currency of the United States.

The Currency Exchange Rate between euros and dollars can vary depending on market conditions, but

The current exchange rate is approximately 1 euro = 1.07 US dollars.

By using this exchange rate, we can calculate that 120 euros is equal to ;

⇒ 120 euros × 1.07 US dollars/euro = 128.4 US dollars .

Therefore, 120 euros is equivalent to 128.4 US dollars at the current exchange rate.

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The median of the data is approximately 1.43 meters.

Brief informative coefficients known as descriptive statistics are used to sum up a particular data set, which may be a sample of a population or a representation of the complete population. Measures of central tendency and measurements of variability make up descriptive statistics (spread). The mean, median, and mode are measurements of central tendency, while the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness are measures of variability.

KEY LESSONS

The properties of a data collection are summed up or described using descriptive statistics.

Measures of central tendency, measures of variability (or spread), and measures of frequency distribution make up the three fundamental kinds of measures in descriptive statistics.

The center of the data set is described by measures of central tendency (mean, median, mode).

To find the median of a set of data, we need to first arrange the data in order from least to greatest.

2, 4, 1, 7/3, 4/5, 5/2

Next, we find the middle value(s) of the ordered data.

Since we have six values, the middle is between the 3rd and 4th values.

2, 4, 1, [7/3, 4/5], 5/2

To find the median, we take the average of the two middle values:

(7/3 + 4/5) / 2 = (35/15 + 8/15) / 2 = 43/30 ≈ 1.43

Therefore, the median of the data is approximately 1.43 meters.

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There is each person holding the sign for 3/4 hours.

What is the rate?

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The 4 members of a robotics team held a car wash to raise money. To attract customers, each person held a sign by the road for an equal portion of the car wash, which lasted 3 hours in all.

If the car wash lasted 3 hours in all and there are 4 members in the robotics team, each person held the sign for 3 hours / 4 = 3/4 hours.

Hence, there are each person held the sign for 3/4 hours.

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The table of values for the function f(x)=1/2 are shown as follow:

What is function?

A function is an expression or relationship that involves one or more variables. It has several inputs and outputs. Each input has a single output. The function describes how the inputs relate to the output.

The function f(x) = 1/2 is a horizontal line that crosses the y-axis at the point (0, 1/2). Since the value of f(x) is constant for all values of x, the table of values for this function will have the same output value of 1/2 for every input value of x.

The table of values for the function f(x)=1/2 are shown as follow:

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no of students in each van = 6

no. of students in each bus = 42

This can be solved by equation solving.

An equation is a formula in mathematics that uses the equals sign (=) to represent the equality of two expressions.

Given that,

Let, x = no. of students in van

y = no. of students in bus

According to the question:

5x + 4y = 198 .............. (1)

4x + 3y = 150 ............. (2)

Multiply equation (1) by 4 and equation (2) by 5 we get:

20x + 16y = 792

20x + 15y = 750

now after subtractions:

or, y = 42

putting the value of y in equation (1) we get:

5x + 4(42) = 198

or, 5x + 168 = 198

or, 5x = 30

or, x = 6

Thus, no of students in each van = 6

no. of students in each bus = 42

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Trigonometry equation solver is used to solve mathematical expression with an equality between two elements containing unknown variables and trigonometric functions.

The relationships between the lengths and angles of triangles' sides are the subject of this area of mathematics. A trigonometric equation is one that has one or more ratios of unknown trigonometric angles. The ratios of sine, cosine, tangent, cotangent, secant, and cosecant angles are used to express it.

A trigonometric equation is cos2 x + 5 sin x = 0, for instance. The term "solutions of the given trigonometric equation" refers to all feasible values that fulfil the given trigonometric equation.

sin²A + cos²A = 1

sec²A – tan²A = 1

cosec²A – cot²A = 1

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The length of 75cm converting to inches is 29.53 inches.

The inch is a unit of length commonly used in the United States, the United Kingdom, and some other countries. It can be calculated by using the conversion factor of 1 inch being equal to 2.54 centimeters.

Understanding conversions between different units of measurement is crucial in various fields such as science, engineering, and mathematics. Therefore, to convert centimeters to inches, we need to divide the number of centimeters by 2.54.

In this case, 75 cm divided by 2.54 results in 29.53 inches.

The length of 75 cm is equivalent to approximately 29.53 inches.

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Answer:

C

Step-by-step explanation:

Because it's a closed figure with 4 sides

Answer:

D. All squares are parallelograms.

Step-by-step explanation:

A parallelogram is a quadrilateral where the opposite sides are parallel, opposite angles are equal

A square is a special type of parallelogram where the opposite sides are not only parallel but all sides are equal and opposite angles are at 90°

By evaluating the expression in y = 5 we will see that the depth after 5 minutes is -165 ft. (or 165 feet below sea level).

We know that the expression:

-230 + 13*y

Represents the depth of the submarine as a function of time. Then y is the time in minutes, so we can write:

depth = -230 + 13*y

To get the depth after 5 minutes, just replace the variable y by the number 15, then you will get:

depth = -230 + 13*5

depth = -230 + 65

depth = -165

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A relative frequency distribution for quantitative data identifies the proportion of observations that occur in each bin.

Relative frequency distribution is a type of frequency distribution that shows the proportion or percentage of observations that fall into each bin or class interval. It is calculated by dividing the frequency of each bin by the total number of observations. This allows us to compare the relative frequencies of different bins, and see how the data is distributed across the range of values.

For example, if we have 100 observations and 20 of them fall into the first bin, the relative frequency of the first bin would be 20/100 = 0.2 or 20%. This means that 20% of the observations fall into the first bin.

In summary, a relative frequency distribution for quantitative data identifies the proportion of observations that occur in each bin, allowing us to compare the relative frequencies of different bins and see how the data is distributed across the range of values.

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Answer:

72 degrees.

Step-by-step explanation:

Exterior angles add up to 360 degrees. So, 60+64+36+48+2x=360. Simplifying, we get that 2x+208=360, or that x=(360-208)/2=144/2=72 degrees.

To convert  90% confidence interval, add and subtract the margin of error from the sample mean

A 90% confidence interval is a range of values that is likely to contain the true population parameter with 90% probability. Here's how you can calculate a 90% confidence interval:

Collect a sample of data that is representative of the population

Calculate the sample mean and the sample standard deviation (s).

Determine the sample size (n).

Use a t-distribution table or calculator to find the critical t value for a 90% confidence level and (n-1) degrees of freedom.

Calculate the margin of error by multiplying the critical t value by the standard error of the mean, which is s/ [tex]\sqrt{n}[/tex].

margin of error = t-value × (s / [tex]\sqrt{n}[/tex])

Determine the upper and lower bounds of the confidence interval by adding and subtracting the margin of error from the sample mean.

Lower bound = Sample mean - margin of error

Upper bound = sample mean + margin of error

The resulting interval will be the 90% confidence interval for the population mean.

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Answer: 3.33 repeating

Step-by-step explanation: .

Using the conversion factor, 3 1/3 yards is equal to 120 inches

To convert yards to inches, we need to know the conversion factor between these two units. One yard is equal to 36 inches.

Therefore, to convert 3 1/3 yards to inches, we can use the following steps:

Convert the whole number of yards to inches: 3 yards x 36 inches/yard = 108 inches

Convert the remaining fraction of a yard to inches: 1/3 yard x 36 inches/yard = 12 inches

Add the results of steps 1 and 2 to get the total number of inches: 108 inches + 12 inches = 120 inches

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Answer:

Since there are (12) inches in 1 yard (divide) 3 1/3 by (36)

so 3 1/3 yards = (16) inches.

Step-by-step explanation:

when you see (   ) it means it's the Answer

Kilograms and pounds are two commonly used units of weight or mass.

The kilogram is the base unit of mass in the International System of Units (SI), while the pound is commonly used in the United States and other countries that use the imperial system. To convert from kilograms to pounds, you can multiply the weight in kilograms by 2.20462, since one kilogram is equivalent to 2.20462 pounds.

This conversion factor is useful in a variety of situations, such as when weighing people, animals, or objects in different parts of the world, or when calculating dosages of medications based on body weight.

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The scalar multiples of u that have a direction opposite that of u is -54  i + 21 j .

Initial Point of vector , u= (-7,2)= -7 i +  2 j

Terminal point of Vector , u= (11, -5)= 11 i -5 j

Vector , u= Terminal point - Initial Point

               = 11 i - 5 j - (-7 i+  2 j)

                = 11  i - 5 j + 7 i - 2 j

                = 18 i - 7 j

⇒Vector, v= 3 ×Direction Opposite to that of vector, u

             = -3 u

            = -3 × (18 i - 7 j )

            = 3× (-18 i + 7 j)

             = -54  i + 21 j

Hence, The scalar multiples of u that have a direction opposite that of u is -54  i + 21 j .

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Answer: DBSB272 PONTA DEM

Step-by-step explanation: Find a answer

The equation for split times is 4x= 198.608  and the value of x is 49.652

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Let x be the split time

all 4 of the split times were the same.

4x= 198.608

=> x= 198.608/4 = 49.652

The equation for split times is 4x= 198.608  and the value of x is 49.652

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The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept of the line.

It allows for the easy representation of a linear equation in two variables, with the slope indicating how steep the line is and the y-intercept indicating where the line intersects the y-axis.

By rearranging an equation in standard form

or point-slope form

we can solve for y in terms of x to convert it to slope-intercept form. This form is commonly used in applications such as graphing and predicting values on a line.

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Division by -2

The properties of equality allow us to manipulate equations in order to solve for a variable.

Properties of Equality

The properties of equality, also referred to as PoEs, describe how an equation can be changed while remaining true. There are numerous PoEs such as the reflexive, substitution, and addition properties of equality. However, for the purposes of this question, the most important is the division property of equality. The division property of equality states that if both sides of an equation are divided by the same number, the equation is still true. In other terms:

Solving for a Variable

To find an unknown variable, we need to isolate the variable. This means using the properties of equality and other techniques to get the variable all by itself on one side of the equation. To isolate j, we need to divide both sides of the equation by -2. This will isolate j and maintain equality as shown by the division property of equality.

By dividing both sides by -2, we can see that j = -15/2.