What is the value of ry' when x = 5 and y = 10?

Alice decides to buy only one bottle per week, instead of two. That means that she is saving half of her last expenses. There are 52 weeks in one year, so the savings can be calculated as:

Savings = (# of weeks) * (average cost of a bottle of wine)

We know that a bottle of wine costs $15 on average, so:

Savings = 52*15

Savings = $780

Answer:

Step-by-step explanation:

-5 - 2(3x - 4) = 3(x - 4) + 6

-5 - 6x + 8 = 3x - 12 + 6

-6x + 3 = 3x - 6

3 = 9x - 6

9 = 9x

1 = x

Answer: x =1

Step-by-step explanation:

-5-2(3x-4) = 3(x-4) +6   Apply the distributive property to break it down.

-5-6x+8 = 3x -12 +6   Combine like terms

-6x + 3 = 3x - 6        Add 6x to both sides

+6x         +6x

3 = 9x  -6       Add 6 to both sides

+6        +6

9=9x             Divide both sides by 9

x= 1

The correct solution to this problem is option e. 1/e. We can find it in the following manner.

The time constant of an RC circuit is the time in which the current decreases to 1/e (approximately 0.368) of its initial value.

This can be derived from the equation for the current in an RC circuit:

\(I=10 * e^({-t/RC} )\)

where I is current at time t, I0 is the initial current, R is the resistance, C is the capacitance, and e is the mathematical constant approximately equal to 2.71828.

To find the time constant, we set the exponent to -1:

\(e^({-t/RC} ) = 1 /e\)

Solving for t/RC, we get:

t/RC = 1

Therefore, the time constant is equal to RC, and the current decreases to 1/e of its initial value in one time constant.

So the answer is e. 1/e.

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The absolute uncertainty in the estimate of Y is 0.0072 m.

We can use the formula for the absolute uncertainty in a function of one variable to find the absolute uncertainty in the estimate of Y:

\($$\Delta Y = \left|\frac{dY}{dX}\right|\Delta X$$\)

In this case, \($Y = 2\sqrt{X}$\), so:

\($$\frac{dY}{dX} = 2\frac{1}{2\sqrt{X}} = \frac{1}{\sqrt{X}}$$\)

Substituting the values given, we have:

\($$\Delta Y = \left|\frac{dY}{dX}\right|\Delta X = \left|\frac{1}{\sqrt{0.74}}\right|(0.005) = 0.0072\text{ m}$$\)

Therefore, the absolute uncertainty in the estimate of Y is 0.0072 m. We can write the estimate of Y with its absolute uncertainty as:

\($$Y = 1.72 \pm 0.0072\text{ m}$$\)

The meaning of absolute uncertainty is the amount by which a measurement or calculated value may vary from the true value due to limitations in the measurement equipment, experimental conditions, or mathematical assumptions.

It represents the range of values within which the true value of the quantity being measured or calculated is likely to lie.

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Answer:

C 24 ft wide, 18 ft deep

Step-by-step explanation:

there are 4 (2) in 8, so 4 x 6 = 24

there are 3(2) in 6, so 3 x 6 = 18

The larger scale drawing will be 24ft x 18 ft

Answer:

4x6=24

Step-by-step explanation:

Answer:

4 * 6 = 24

Step-by-step explanation:

Since there are 6 fours

4 * 6 =24

Answer:

A rigid motion transformation, also known as an isometry, is a transformation that preserves distances and angles between points. Examples of rigid motion transformations include translations, rotations, and reflections. A transformation that is not a rigid motion transformation would be one that does not preserve distances and angles between points. An example of a transformation that is not a rigid motion transformation is a dilation, which changes the size of an object but not its shape.

Step-by-step explanation:

Answer:

6%

Step-by-step explanation:

\(\frac{6}{100}\)

For fractions with 100 as the denominator, it will always have the numerator as its percent value. This is because percentages are essentially comparing a number to 100, which is what \(\frac{6}{100}\) is doing. Therefore, \(\frac{6}{100}\) as a percentage would be 6%.

I hope this helps!

The probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow is 47/128.

The probability that less than 2 babies will speak is

5C0 * (0.25)^0 * (0.75)^5 +  5C1 * (0.25)^1 * (0.75)^4

= (0.75)^5 +  5 * 0.25 * (0.75)^4

(0.75)^5+5*0.25*(0.75)^4 = 81/128

Therefore,

probability that 2 or more will speak is  

=  1- 81/128 = 47/128

The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability p) or failure (with probability display style q=1-pq=1-p).

This distribution is used in probability theory and statistics. A Bernoulli trial, or experiment, is another name for a single success-or-failure experiment, and a Bernoulli process is another name for a series of results.

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Answer:

0.91 g/cm³

Step-by-step explanation:

Density Formula

Solving

The statement describes the percentage of people in the nation who eat out without making any inferences or assumptions.

The statement made by the person is a descriptive statement. This means that the statement simply describes the percentage of people in the nation who always eat out. It does not make any assumptions or inferences based on the data or evidence given. A descriptive statement is one that simply states facts or information without making any assumptions or interpretations about it. It is important to note that a descriptive statement does not imply any cause and effect relationship between the facts or data given. For example, in this statement, there is no inference being made that the people who eat out are healthier or more likely to be successful than people who don't eat out. It is simply stating the percentage of people in the nation who always eat out.

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Answer:

Isosceles triangle. An Isosceles triangle is a triangle that has 2 equal sides and 2 equal angles

Step-by-step explanation:

After five months, the percentage decrease in the daylight is 51.815%

As per the question, On the first day of June, there was 16.81 hours of daylight in a city and five months later, there was 8.10 hours of daylight. We are supposed to find the percent decrease in the daylight.

Percentage increases or decreases are calculated by setting the problem up proportionally.

We are trying to calculate at what percentage of 16.81 is 8.10 first

Let "x" be the percentage required percentage

therefore \(\frac{x}{100} =\frac{8.10}{16.81}\)

\(x = \frac{8.10*100}{16.81} \\x=\frac{810}{16.81} \\x=48.185%\)

8.10 is approximately 48.185% of 16.81.

So the percentage decrease is \(100 - 48.185=51.815\)%

Hence the percentage decrease is 51.815%

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Answer:

A sixth grade silence club needs 180$ to pay for the tickets to a science museum.

1. Suppose there 15 students in the club, then each of them needs to pay

\dfrac{\$180}{15}=\$12

15

$180

=$12

This means each ticket costs $12.

2. Suppose each ticket cost $15, then there are

\dfrac{\$180}{\$15}=12

$15

$180

=12 students in the club.

The following are the respective values of the angles:

∠5 = 44°

∠3 = 117°

x = 60°

x = 157°

angles (∠5 + ∠6)° and ∠2 are corresponding angles and are equal so;

∠5 + 90° = 134°

∠5 = 134° - 90°

∠5 = 44°

angles (∠5 + ∠6)° and ∠3 are alternate angles and are equal so;

∠3 = ∠5 + ∠6

∠3 = 27° + 90°

∠3 = 117°

(x + 5) + 90° + (180° - 155°) = 180° {sum of interior angles of a triangle}

x + 5 + 90° + 25° = 180°

x + 120° = 180°

x = 180° - 120°

x = 60°

x = 22° + (180° - 45°) {exterior angle of a triangle equals two opposite interior angles}

x = 22° + 135°

x = 157°

Therefore, the following are the values of the angles: ∠5 = 44, ∠3 = 117°, x = 60°, and x = 157° respectively.

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The area of the trapezoid is 140√3 square inches, in simplest radical form.

To find the area of a trapezoid, we can use the formula:

Area = (1/2) * (a + b) * h,

where "a" and "b" are the lengths of the parallel sides and "h" is the height of the trapezoid.

In this case, the lengths of the parallel sides are 20 + 6 = 26 inches and 14 inches, and the height of the trapezoid is not given. However, we can find the height by using the given angle of 60 degrees.

To find the height, we can draw a perpendicular line from one of the parallel sides to the other, forming a right triangle. The given angle of 60 degrees is opposite the side with length 14 inches. Using trigonometry, we can determine the height:

height = 14 * sin(60) = 14 * (√3/2) = 7√3 inches.

Now we can substitute the values into the area formula:

Area = (1/2) * (26 + 14) * (7√3)

= (1/2) * 40 * (7√3)

= 20 * (7√3)

= 140√3 square inches.

Therefore, the area of the trapezoid is 140√3 square inches, in simplest radical form.

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Answer:

D

Step-by-step explanation:

The magnitude is 25 and the direction angle of vector c is 73.7°. Option D is correct.

Given, a=⟨2,10⟩, b=⟨-5,-14⟩, c=a-b

We need to find what is the magnitude and direction angle of vector c.

Given a position vector v=⟨a,b⟩, the magnitude is found by |v|=√a²+b². The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application. For a position vector, the direction is found by tanθ=(ba)⇒θ=\(tan^{-1}\)(ba).

Now, vector c=⟨7,24⟩|c|=\(\sqrt{7^{2} +24^{2} }\)=25angle =tan(θ)=(168)⇒θ=\(tan^{-1}\)(168)= 73.7°.

Hence, the magnitude is 25 and the direction angle of vector c is 73.7°.

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In the derivation of Average Variable Cost (AVC), to find its minimum, you need the minimum-slope ray out of the origin to the TVC (Total Variable Cost).

Average Variable Cost (AVC) is calculated by dividing Total Variable Cost (TVC) by the quantity of output. The TVC represents the variable costs incurred in producing a certain level of output.

The minimum point of the AVC curve occurs where the slope of the TVC curve is at its minimum. The minimum-slope ray out of the origin represents the tangent line to the TVC curve at the origin, and this tangent line intersects the TVC curve at its minimum point. The AVC curve takes its minimum value at this point.

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Answer:

6

Step-by-step explanation:

The product that is the factored form of the polynomial 3x⁴ - 2x² + 15x² - 10 is (x² + 5)(3x² - 2).

In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

The polynomial is first correctly stated as follows

This is rearranged, grouped and solved as follows:

\(\sf 3x^4+15x^2-2x^2-10\)

\(\sf (3x^4+15x^2)-(2x^2+10)\)

\(\sf 3x^2(x^2+5)-2(x^2+5)\)

Factorizing the common factors, we have the product of the factored form of the polynomial as follows:

\(\boxed{\rightarrow\bold{(x^2 + 5)(3x^2 - 2)}}\)

Thus, the product that is the factored form of the polynomial 3x⁴ - 2x² + 15x² - 10 is (x² + 5)(3x² - 2).

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Here are three current job openings in the sports industry along with details about the positions and my opinion about each opportunity:1. Social Media Coordinator at the National Football League (NFL):The Social Media Coordinator at the NFL will be responsible for executing the NFL's social media content strategy across various social media platforms.

This includes creating and publishing content, analyzing data and performance, and staying up to date on social media trends. The position requires a Bachelor's degree and 2-3 years of experience in social media management or related field. My opinion about this opportunity: The NFL is a well-known and highly respected organization in the sports industry, and working as a Social Media Coordinator for them would be an excellent opportunity for someone with experience in social media management.2. Sales Associate at Nike: Nike is currently hiring a Sales Associate at one of their retail stores.

The Sales Associate will be responsible for delivering excellent customer service, maintaining product knowledge, and achieving sales goals. The position requires a high school diploma or equivalent and some retail or customer service experience. My opinion about this opportunity: Nike is a global leader in the sports industry, and working as a Sales Associate at one of their retail stores would provide valuable experience in sales and customer service.3. Communications Intern at USA Volleyball: USA Volleyball is offering a Communications Internship that will give students hands-on experience in sports communication. The intern will assist with creating content for various USA Volleyball platforms, including social media and email marketing. The position is unpaid, but college credit is available. My opinion about this opportunity: This internship would be an excellent opportunity for a student interested in pursuing a career in sports communication. Although the position is unpaid, the experience and skills gained would be invaluable.

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The probability that the total grade for these 39 students is less than 2652.0 is 0.8289.

When answering a question, it is essential to be factually accurate, professional, and friendly. It is also important to be concise and provide step-by-step explanations. Additionally, relevant terms such as "unimodal," "deviation," and "random" should be used where appropriate. HTML formatting should be used where necessary.The solutions to the given problems are:a) The distribution of student's grades is unimodal and skewed left.b) If n=39 students are selected at random, the distribution of the sample mean grade is normal with a mean of μ=65 and a standard deviation of σ=2.5681.c) The probability that the sample mean grade for these 39 students is less than 68 is 0.8461.d) If n=39 students are selected at random, the distribution of the sample total grade is normal with a mean of 2535 and a standard deviation of 30.3848.e) The probability that the total grade for these 39 students is less than 2652.0 is 0.8289.

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Equation of the quadratic function represented by the graph is

x² - 6x - y + 8 = 0

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.

Given,

Graph of the quadratic function passes through (2, 0) , (4, 0) and (6 , 8)

Vertex (h,k)= (3 , -1)

Equation of the quadratic function

y = a(x - h)² + k

y = a(x - 3)² - 1

Function passes through (2,0)

0 = a(2 - 3)² - 1

a = 1

Quadratic equation becomes,

y = 1(x - 3)² - 1

y = (x² + 9 - 6x)-1

x² - 6x - y + 8 = 0

Hence, x² - 6x - y + 8 = 0 is the equation of quadratic function represented by the graph.

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