Find the coordinates of the point 7/10
of the way from A to B.
A(-3,-7)B(11,6)

The customers of Rhythm Time, an online music service, downloaded 397,970 songs last year.

Rhythm Time, an online music service, had 278,579 songs downloaded this year by its customers. That figure is 30% less than last year. Last year

We can begin by assuming that the total number of songs downloaded last year was x. According to the problem statement, 278,579 songs were downloaded this year, which is 30% less than last year. We can write it as an equation:x - 0.30x = 278,579 Simplifying, we get:0.70x = 278,579 Dividing both sides by 0.70, we get:x = 397,970Therefore, last year, Rhythm Time's customers downloaded 397,970 songs.

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By using the Lagrange multipliers, the two points on the cone that is closest to (14, 8, 0) are:

(7, 4, √65) and (7, 4, -√65)

We want to minimize the distance between the point (14, 8, 0) and the points on the cone z^2 = x^2 + y^2. The distance squared between two points (x_1, y_1, z_1) and (x_2, y_2, z_2) is given by:

d^2 = (x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2

In our case, we want to minimize the distance squared between (14, 8, 0) and a point (x, y, z) on the cone z^2 = x^2 + y^2:

d^2 = (x - 14)^2 + (y - 8)^2 + z^2

Subject to the constraint z^2 = x^2 + y^2. We can use Lagrange multipliers to solve this constrained optimization problem. Let L be the Lagrangian:

L = (x - 14)^2 + (y - 8)^2 + z^2 - λ(z^2 - x^2 - y^2)

Taking the partial derivatives of L with respect to x, y, z, and λ, and setting them to zero, we get:

2(x - 14) - 2λx = 0.....(1)

2(y - 8) - 2λy = 0.....(2)

2z - 2λz = 0.....(3)

z^2 - x^2 - y^2 = 0.....(4)

Simplifying the third equation, we get z(1 - λ) = 0. Since we want to find points where z is not zero, we must have λ = 1. Then, from the first two equations, we get x = 7 and y = 4. Substituting these values into the fourth equation, we get:

z^2 = x^2 + y^2 = 65

So the two points on the cone that is closest to (14, 8, 0) by using  Lagrange multipliers are:

(7, 4, √65) and (7, 4, -√65)

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Answer:

0 = 0

Step-by-step explanation:

The input is an identity: it is true for all values.

Note: Consider we need to find the circumference and area of the given circle.

Given:

A circle with radius 7.1 m.

To find:

The circumference and area of the given circle.

Solution:

Circumference of a circle is:

\(C=2\pi r\)

Putting \(r=7.1,\pi=3.14\), we get

\(C=2(3.14)(7.1)\)

\(C=44.588\)

\(C\approx 44.6\)

Therefore, the circumference of the circle is 44.6 m.

The area of the circle is:

\(A=\pi r^2\)

Putting \(r=7.1,\pi=3.14\), we get

\(A=3.14(7.1)^2\)

\(A=158.2874\)

\(A\approx 158.3\)

Therefore, the area of the circle is 158.3 sq. m.

Given:

Steven wrote this equation:

\(4\times 18=418\)

To find:

The error in Steven's reasoning and then find the correct product.

Solution:

We have,

\(4\times 18=418\)

This statement is incorrect because we cannot write product directly as Steven wrote.

We need to multiply the place values of each digit of first number with the place values of second number and then we need to add the resulted values.

\(4\times 18=4\times (10+8)\)

\(4\times 18=4\times 10+4\times 8\)

\(4\times 18=40+32\)

\(4\times 18=72\)

Therefore, the correct product is 72.

The most widely used method for rating attributes is the Likert scale.

The Likert scale is a popular method for measuring attitudes, opinions, and perceptions of individuals towards a particular attribute or construct.

It consists of a series of statements or items that respondents are asked to rate on a scale typically ranging from "Strongly Disagree" to "Strongly Agree" or from "Very Unsatisfied" to "Very Satisfied."

The scale can vary in the number of response options, but it usually has five or seven points.

The Likert scale provides a way to quantify subjective responses and allows researchers to gather data on people's preferences, opinions, and perceptions.

It is widely used in various fields such as psychology, social sciences, market research, and customer satisfaction surveys.

Therefore, the Likert scale is the most widely used method for rating attributes.

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11% is the approximate percentage of workers who are not protected by unions.

Rather than being stated as a fraction, a percentage is a piece of a total expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent, and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

In essence, percentages are fractions with 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage.

One-tenth of anything is one percent. Therefore, it may be expressed as a fraction as well as a decimal.

Given that,

there are about 127 million workers in the u.s.

among them 14.4 million workers belong to unions

Now, workers belong to the united states = (127 - 14.4) = 112.6 million

So, number of people protected by unions = (112.6 / 127) × 100 = 88.66%

Now,  the approximate percentage of workers who are not protected by unions: (100 - 88.66) = 11.33% ≈ 11%

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Yes because the digital scale only reports integers, making the measurement of weight a discrete variable.

However, the accuracy of the scale can also affect whether the weight measurement is truly discrete or has some degree of variability. If the scale has a high level of accuracy, the weight measurement may still be considered continuous even though it is reported in integers.

When using a digital scale that only reads in integers, your weight is considered a discrete variable, as it can only take on specific, separate values (whole numbers) rather than continuous values (including decimals). However, it's important to note that weight is inherently a continuous variable, but the limitations of the scale make it discrete in this specific scenario.

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Answer:

2/7 + 7/14 = 11/14

Step-by-step explanation:

7 x -2 = -14 Each seventh is going to be worth 2 fourteenths!

This means 2/7 = 4/14

4/14 + 7/14 = 11/14

Answer:

eleven fourteenths

Step-by-step explanation:

The relation "r" on the set of ordered pairs of positive integers is defined as follows: ((a, b), (c, d)) ∈ r if and only if ad < bc.

In simpler terms, for any two ordered pairs of positive integers (a, b) and (c, d), they are related if and only if the product of the first integer in the first pair and the second integer in the second pair is less than the product of the second integer in the first pair and the first integer in the second pair.

Let's go through an example to better understand this concept. Consider the ordered pairs (2, 5) and (3, 4). To determine if they are related according to the relation "r," we need to compare the products: 2 * 4 = 8 and 5 * 3 = 15. Since 8 is less than 15, we can conclude that ((2, 5), (3, 4)) ∈ r.

It's important to note that the relation "r" compares the products of the integers in the ordered pairs, rather than the integers themselves. The relation checks if the product of the first integer in the first pair and the second integer in the second pair is less than the product of the second integer in the first pair and the first integer in the second pair.

I hope this explanation clarifies the meaning of the relation "r" on the set of ordered pairs of positive integers. If you have any further questions, feel free to ask!

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Answer: B

Step-by-step explanation:

y = 72.49x0.50

Answer:

B

Step-by-step explanation:

edge2023 and because i said so ;)

Answer:

Area= 28 cm^2

Step-by-step explanation:

The formula for area of a triangle is A= 1/2b*h. So 7 x 8=56 and 56/2= 28. Answer is 28.

The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.

This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.

Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.

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The sets of line segments that will form a triangle are B (5, 8, 12) and D (6, 7, 14).

To determine which set of line segments will form a triangle, we can apply the Triangle Inequality Theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's examine each set of line segments:

A. 4, 6, 10

The sum of the lengths of the first two sides is 4 + 6 = 10, which is equal to the length of the third side. According to the Triangle Inequality Theorem, the sum of the lengths of any two sides must be greater than the length of the third side. Since the lengths are equal in this case, it does not satisfy the inequality. Therefore, this set of line segments (4, 6, 10) will not form a triangle.

B. 5, 8, 12

The sum of the lengths of the first two sides is 5 + 8 = 13, which is greater than the length of the third side (12). This set of line segments satisfies the Triangle Inequality Theorem because the sum of the lengths of any two sides is greater than the length of the third side. Therefore, this set of line segments (5, 8, 12) will form a triangle.

C. 2, 7, 10

The sum of the lengths of the first two sides is 2 + 7 = 9, which is less than the length of the third side (10). This set of line segments does not satisfy the Triangle Inequality Theorem because the sum of the lengths of any two sides must be greater than the length of the third side. Therefore, this set of line segments (2, 7, 10) will not form a triangle.

D. 6, 7, 14

The sum of the lengths of the first two sides is 6 + 7 = 13, which is greater than the length of the third side (14). This set of line segments satisfies the Triangle Inequality Theorem because the sum of the lengths of any two sides is greater than the length of the third side. Therefore, this set of line segments (6, 7, 14) will form a triangle.

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Answer:

=30076 customers

Step-by-step explanation:

Number of customer= 51,200

rate of declination=3.8 %= 0.038

We will use the expresion below in calculating the approximate number of customers that visit the business in 14 years.

A=Pe^(rt)

Where P=initial amt,

r=annual rate of growth or decline,

A=amount after t years.

37800=Pe^.017t

51200=Pe^0.038

P= 51200/e^(0.038*14)

But e^(0.038*14)= 1.7023

P= 51200/1.7023

P=30076

Approximate number of customers that visit the business in 14 years≈30076

Answer:

68

Step-by-step explanation:

17x8 = 136

136/2 = 68

Answer:

answer is a

Step-by-step explanation:

The value of x is x = 9/4. The equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4

The equation 2xc = d and 2x + 1 = 9 are similar in that they are both linear equations and involve the variable x.

However, they are different in that they have different constants and coefficients.

How to use 2xc = d to solve 2x + 1 = 9? To use 2xc = d to solve 2x + 1 = 9, you first need to rewrite 2x + 1 = 9 in the form 2xc = d.

To do this, you need to isolate x on one side of the equation. 2x + 1 = 9

Subtract 1 from both sides2x = 8. Divide both sides by 2x = 4Now, we can write 2x + 1 = 9 as 2x * 1/2 = 9/2.

Therefore, we can see that this equation is similar to 2xc = d, where c = 1/2 and d = 9/2.

We can use this relationship to solve for x in the equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4 Therefore, x = 9/4.

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Answer:

Step-by-step explanation:

If points A, B and C are collinear, then A, B and C lies on the same straight line. Hence AB+BC = AC

Given

AB = 12''

BC = 8''

To get length od segment AC, we will substitute the given values into the formula above as shown;

AB+BC = AC

12 + 8 =AC

AC = 12+ 8

AC = 20''

Hence the length of AC is 20''

Answer:

Down below hope it helps :)

Step-by-step explanation:

The evidence "SAY" was only written once. It wasn't by the same article, the writer introduces two separate articles.

Kinda confused by this question but I think that's the answer.

There are 792 different, unique ways you can sort the 7 green apples and 5 red apples while keeping track of the order.

To determine the number of different, unique ways you can sort the 7 green apples and 5 red apples while keeping track of the order, you can use the concept of permutations.

Since you have a total of 12 apples, the number of ways to arrange them can be calculated using the formula for permutations of objects with repetition.

In this case, we have 7 green apples and 5 red apples, so the formula becomes:

P(12; 7, 5) = 12! / (7! * 5!)

Calculating this expression, we get:

P(12; 7, 5) = (12 * 11 * 10 * 9 * 8 * 7 * 6) / (7 * 6 * 5 * 4 * 3 * 2 * 1) * (5 * 4 * 3 * 2 * 1)

Simplifying, we have:

P(12; 7, 5) = 792

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Answer: it is an acute triangle

Explanation:

Because an acute triangle has three equal less-than-90-degree-angle corners. Hope this helps!

Answer: 1:5

Step-by-step explanation:

If you convert that to a ratio, that is 2:10 = 1:5.

Answer:

Step-by-step explanation:

Answer:

K is either 9 or 1

Step-by-step explanation:

Sqrt((0 - 3)² + (k - 5)²) = 5

Square both sides

(0 - 3)² + (k - 5)² = 5²

(0 - 3)² + (k - 5)² = 25

-3² + (k - 5)² = 25

9 + (k-5)(k-5) = 25

9 + k² - 5k - 5k + 25 - 25 = 0

k² - 10k +9 = 0

k² - 9k - k + 9 = 0

k(k - 9) - 1(k - 9) = 0

k - 1 = 0 ; k = 1

k - 9 = 9; k = 1

K = 9 or k = 1

K is either 9 or 1

An appropriate hypothesis test to determine whether scores of depression are different pre- and post-treatment would be the paired t-test.

The paired t-test is suitable in this scenario because it compares the mean scores of depression before and after the treatment within the same group of participants.

This test takes into account the paired nature of the data, where each participant is measured twice (pre- and post-treatment).

By conducting a paired t-test, the researchers can assess whether there is a statistically significant difference in depression scores before and after the treatment. This will help determine the effectiveness of the new treatment for depression.

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Answer:

2.7×10−6

Step-by-step explanation:

I did this on a calculator I have no idea what the step by step is

Step-by-step explanation:

Blank 1 = 82

Blank 2 = 82

Blank 3 = 98