(Chapter 12) The set of points { (x, y, z) | x^2 +y^2 = 1} is a circle.

Answer:

333.33 miles

Step-by-step explanation:

Let x be the number of miles Mike and Juan drive.

They only have $300, however, so let's set an equation that will tell us how many miles, x, does it take to result in a total bill of $300.  The mileage fee will be ($0.75/mile)*(x miles driven).   Start with the $300 and subtract both the fixed fee of $50 and the mileage fee of 0.75x and set the result to zero, the point at which they spend $300.

$300 - $50 - ($0.75)x = 0

$250 - ($0.75)x = 0

- ($0.75)x = -$250

x = -($250)/(-$0.75)

x = 333.33 miles

CHECK:

Would Mike and Juan spend $300 on the rental car if they drove 333.33 miles?

                                            Rental Fee:     $50

Mileage:  ($0.75/mile)*(333.333 miles) = $250

                                             Total Cost:   $300  YES

Nothing left for burgers,

The mean number of hours for these students 10.3

Given the following data:

11, 11, 4, 9, 10, 17

The mean is the sum of the data divided by the number of elements in the data.

Sum of data is:

11 + 11 + 4 + 9 + 10 + 17 = 62

Number of elements in the data is:

6

The mean is now:

62/6 = 10.3

The number of votes that were in favor of working in groups was 6 votes

Percentages are just fractions with the denominator 100. We use the percent symbol (%) to indicate that a number is a percentage. For example, if you correctly answered 75 out of 100 questions on a test, you would have gotten a 75% (75/100) mark.

Divide the amount by the total value and multiply the result by 100 to get the percentage. (Price/Total Price) The formula for computing percentages is 100%.

If 60% of the votes were in favor of working in groups, that means there were 60/100 * 10 votes = <<60/100*10=6>>6 votes in favor.

So, there were 6 votes in favor of working in groups.

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Answer:

126 units!

Step-by-step explanation:

I hope this helped!! c:

Answer:

6 cm

Step-by-step explanation:

The volume of a cone = (1/3) πr²h

72π = (1/3) π r² 6

72 = (1/3) r² 6

Divide both sides by 6

12 = (1/3) r²

Multiply both sides by 3

36 = r²

So r (radius) = 6 cm

For each trapezoid figure the missing angles are

angle R = 110 degrees

angle S = 86 degrees

angle D = 112 degrees

angle W = 108 degrees

1. angle R + angle S = 180 degrees (same side interior angles ot a trapezoid are supplementary)

angle R + 70 = 180

angle R = 180 - 70

angle R = 110 degrees

2. angle T + angle S = 180 degrees (same side interior angles ot a trapezoid are supplementary)

angle S + 94 = 180

angle S = 180 - 94

angle S = 86 degrees

3. angle D + angle F = 180 degrees (diagonally opposite angles of isosceles trapezoid are supplementary)

angle D + 68 = 180 degrees

angle D = 180 - 68

angle D = 112 degrees

4. angle W + angle V = 180 degrees

angle W + 72 = 180

angle W = 180 - 72

angle W = 108 degrees

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The triangle that has the coordinates as A(0,-4) B(0,-9) C(-2,-5) is; A scalene Triangle

The formula for the distance between two coordinates is;

D = √[(y₂ - y₁)² + (x₂ - x₁)²]

Thus;

Distance AB = √[(-9 + 4)² + (0 - 0)²]

Distance AB = √25

Distance AB = 5

Distance BC = √[(-5 + 9)² + (-2 - 0)²]

Distance BC = √20

Distance CA = √[(-4 + 5)² + (-2 - 0)²]

Distance CA = √5

Since the three sides all have different lengths, then they the triangle is said to be a scalene triangle.

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In the given problem, we have to represent 0.64 and 0.08 as whole numbers. 0.64 can be represented as 64/100 and 0.08 can be represented as 8/100. Hence, 0.64 as 64 and 0.08 as 8 can be written as 64/100 as 64 and 8/100 as 8 respectively.

In the given problem, we have to represent 0.64 and 0.08 as whole numbers. 0.64 can be represented as 64/100 and 0.08 can be represented as 8/100. Hence, 0.64 as 64 and 0.08 as 8 can be written as 64/100 as 64 and 8/100 as 8 respectively. Therefore, to represent 0.64 as 64 and 0.08 as 8, we must first represent these decimals as fractions whose denominators are 100, then write the numerator as a whole number. 0.64 can be represented as 64/100 and 0.08 as 8/100. Thus, we can write 0.64 as 64 and 0.08 as 8.

Also, note that we have to add the term "and then" to our answer. So, To represent 0.64 as 64 and 0.08 as 8, we must first represent these decimals as fractions whose denominators are 100, then write the numerator as a whole number. 0.64 can be represented as 64/100 and 0.08 as 8/100. Thus, we can write 0.64 as 64 and 0.08 as 8. Therefore, the answer is 64 and 8.

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Answer:

12.50

Step-by-step explanation:

The properties for  parabolas 1 is:

Parabola 1:

Vertex: (-2, 1)

Max/min value: The vertex represents a minimum point, so the minimum value is 1.

Axis of symmetry: x = -2

Zero(s): There are two zeros, at x = -4 and x = 0.

Direction of opening: The parabola opens upwards.

Y-intercept: The y-intercept is (0, 5).

Parabola 2:

Vertex: (1, -2)

Max/min value: The vertex represents a maximum point, so the maximum value is -2.

Axis of symmetry: x = 1

Zero(s): There are two zeros, at x = -1 and x = 3.

Direction of opening: The parabola opens downwards.

Y-intercept: The y-intercept is (0, -1).

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The algebaraic equation required is :

2.55x + 0.7 = 16

The number of pens Hannah bought is 6

If :

x = number of pens

4 more pencils Than pens ; Number of pencils = x + 4

2 fewer erasers than pens ; number of erasers = x - 2

Total amount spent = $16

The total number of items bought is :

(x) + (x + 4) + (x - 2)

Multiplying by the cost of each :

1.25x + 0.55(x+4) + 0.75(x-2)

Hence, Total amount spent can be represented as :

1.25x + 0.55(x+4) + 0.75(x-2) = 16

1.25x + 0.55x + 2.2 + 0.75x - 1.50 = 16

2.55x + 0.7 = 16

The algebraic equation is : 2.55x + 0.7 = 16

The number of pens Hannah bought can be calculated thus :

2.55x + 0.7 = 16

2.55x = 16 - 0.7

2.55x = 15.30

x = 15.30 / 2.55

x = 6

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Answer:

Step-by-step explanation: x = the number of pens Hannah bought

(x + 4) = the number of pencils Hannah bought

(x - 2) = the number of erasers Hannah bought

The equation to solve would be 1.25x + 0.55(x + 4) + 0.75(x - 2) = 16

1.25x + 0.55(x + 4) + 0.75(x - 2) = 16.00

1.25x + 0.55x + 4 * 0.55 + 0.75x - 2 * 0.75 = 16.00

1.25x + 0.55x + 2.20 + 0.75x - 1.50 = 16.00

1.25x + 0.55x + 0.75x = 15.30

2.55x = 15.30

x = 6

Note: if you didn't get a Whole Number, you know that you must've made a mistake. You can't buy part of a pen or pencil or eraser.

x = the number of pens Hannah bought = 6

(x + 4) = the number of pencils Hannah bought = 6 + 4 = 10

(x - 2) = the number of erasers Hannah bought = 6 - 2 = 4

You can check your work: 1.25(6) + 0.55(6 + 4) + 0.75(6 - 2) = 1.25(6) + 0.55(10) + 0.75(4) = 16 (check!)

Answer:

Square ABCD was translated using the rule (x, y) → (x - 4, y + 15) to form A'B'C'D'.

The expression would be:

(2/3)(4 + k)

Answer:

\(\frac{2}{3}(4 + k)\)

Step-by-step explanation:

Sum of 4 and k :  4 + k

Two thirds of the sum of 4 and k :

\(\frac{2}{3}(4 + k)\)

Answer:

Not a polynomial

Step-by-step explanation:

The leading coefficient test requires a polynomial

Answer:

10.8

hope this helps

Answer:

\(\boxed {10.8}\)

Step-by-step explanation:

The equation:

\(\sqrt{116}\)

Simplify:

\(\sqrt{116}\)

\(2\sqrt{29} \approx 10.77\)

-Round the approximation to the nearest tenth:

\(\boxed {10.8}\)

Answer:

x = 7

y = -2

Step-by-step explanation:

4x + 3y = 22  ---------------------(I)

5x - 4y = 43 ---------------------(II)

Multiply(I) by 4 and equation (II) by 3. And then add the equations

(I) * 4            16x + 12y = 88

(II) *3            15x  - 12y = 129   {Add & thus y will be eliminated}

                    31x         = 217

x = 217/31  

x = 7

Plug in the value of x in equation (I)

4*7 + 3y = 22

28 + 3y = 22

       3y = 22 - 28

       3y = -6

         y = -6/3

y = -2

Answer:

45 minutes

Step-by-step explanation:

75% is the same as \(\frac{3}{4}\). This means that we can multiply 60 by  \(\frac{3}{4}\) to find 75% of 60.

\(60*\frac{3}{4} \\\\\frac{180}{4} \\\\\frac{90}{2}\\\\45\)

Answer:

45 minutes

Step-by-step explanation:

Of means multiply

75% * 60

Change to a decimal

.75 * 60

45

45 minutes

Answer:

3x (x-3)

Step-by-step explanation

3x^2 - 9x + 0

The equation.

3x^2 - 3^2 × x

What I did here is that I factored out 9x to 3^2 times x.

3x (3x^2 all over 3x - 3^2 × x/ all over 3x)

So that way I can divide the number in the parentheses by 3x to take 3x out of the parentheses to factor out.

3x (x^2-1 - (3^2-1) )

You simplify to get the final answer.

3x (x-3)

Final Answer.

I hope this helps!!!!

As the Planning Engineer of the Main Contractor responsible for the construction of a residential estate project on a sloping site, the principle of scientific management with reference to the construction industry is to simplify the methods and to get the work done by using the best method available to ensure maximum efficiency.

Scientific Management is a term coined by Frederick Winslow Taylor in 1910. The approach of scientific management, also known as Taylorism, focuses on using scientific methods and techniques to improve efficiency and productivity in the workplace. It involves breaking down work into small, standardized tasks and optimizing each task to ensure maximum efficiency. Taylor believed that the best way to achieve this was to scientifically analyze each task and find the most efficient way to perform it. He also emphasized the importance of training workers to perform their tasks in the most efficient manner possible. Taylorism involves close supervision of workers and the use of incentives to motivate them to increase their productivity.

Scientific Management is an approach that can be applied to the construction industry. It involves breaking down the construction process into small, standardized tasks and optimizing each task to ensure maximum efficiency. This can be achieved by using scientific methods and techniques to analyze each task and find the most efficient way to perform it. The principle of scientific management with reference to the construction industry is to simplify the methods and to get the work done by using the best method available to ensure maximum efficiency.

In the context of a residential estate project on a sloping site, scientific management principles can be applied to ensure that the construction process is as efficient as possible. For example, the construction process could be broken down into small, standardized tasks, such as excavating, grading, and pouring concrete. Each of these tasks could be optimized to ensure that they are performed in the most efficient manner possible. This could involve using specialized equipment or tools, such as excavators or bulldozers, to excavate the site. It could also involve using specialized techniques, such as slip-forming, to pour concrete.

In conclusion, the principle of scientific management is to simplify the methods and to get the work done by using the best method available to ensure maximum efficiency. This approach can be applied to the construction industry, including the construction of a residential estate project on a sloping site. By breaking down the construction process into small, standardized tasks and optimizing each task, it is possible to improve efficiency and productivity, while ensuring that the project is completed on time and within budget.

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Lol the whole lyrics of the Spongebob theme song. Epic.

Answer:

9

hope it's helpful ❤❤❤❤

THANK YOU

#

Answer:

Step-by-step explanation:

C(8, 2) * px * qn - x is approximately equal to 0.0531 (rounded to four decimal places).

To find the value expression of C(n, x) * px * qn - x, where n = 8, x = 2, and p = 1/3, we need to substitute these values into the formula.

First, let's calculate the binomial coefficient C(n, x):

C(n, x) = n! / (x!(n - x)!)

Using the given values, we have:

C(8, 2) = 8! / (2!(8 - 2)!)

= 8! / (2! * 6!)

Since 8! = 8 * 7 * 6! we can simplify further:

C(8, 2) = (8 * 7 * 6!) / (2! * 6!)

Canceling out the common terms:

C(8, 2) = (8 * 7) / 2!

Now, let's calculate px * qn - x:

p = 1/3

q = 1 - p = 1 - 1/3 = 2/3

px = (1/3)²

qn - x = (2/3)^(8 - 2)

Substituting these values:

px * qn - x = (1/3)² * (2/3)^(8 - 2)

Simplifying the expression:

px * qn - x = (1/9) * (2/3)^6

Now, we can substitute the calculated values back into the expression C(n, x) * px * qn - x:

C(8, 2) * px * qn - x = (8 * 7) / 2! * (1/9) * (2/3)^6

Evaluating the expression:

C(8, 2) * px * qn - x ≈ 28 * (1/9) * (2/3)^6

≈ 28 * (1/9) * (2/729)

≈ 0.0531

Therefore, C(8, 2) * px * qn - x is approximately equal to 0.0531 (rounded to four decimal places).

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Tracey paid approximately 29.8% of the original price for the item.

To find the percentage of the original price that Tracey paid, we can use the formula:

Percentage = (Amount Paid / Original Price) * 100

Let's plug in the given values:

Percentage = (155 / 520) * 100

Percentage = 0.2980769230769231 * 100

Percentage ≈ 29.8%

So, Tracey paid approximately 29.8% of the original price for the item.

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Answer:: 80% of 22 is 16.

Answer:

80% of 22 is 16. Hope I helped you!!

Credit card companies determine their APR based on creditworthiness, or how much risk you pose as a borrower, as well as broader factors like the health of the economy. Creditworthiness is based on criteria such as an applicant's credit history, income and total amount of money owed.

The probability of having two years with high sales in a row for Apple Inc. is 0.16 or 16%.

To find the probability of two independent events happening in succession, you multiply their individual probabilities together. In this case, the probability of high sales in a given year is 40%, or 0.4.

Step 1: Convert percentages to decimal form.
High sales: 40% = 0.4

Step 2: Multiply the probabilities of high sales for two consecutive years.
Probability of two high sales years in a row = 0.4 * 0.4

Step 3: Calculate the result.
Probability = 0.4 * 0.4 = 0.16

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Answer:

The Third table down is the answer, as it has a consistant rate of change for both X and Y

Answer:

The Answer is C.

Step-by-step explanation:

By looking at the y-axis we can see if they go up by the values by down by 8.