for a few weeks, a music producer kept track of newly released songs on a music streaming website. she recorded the music genre and number of times the song was played on its release date. 0-500 plays 501-1,000 plays country 7 7 rock 3 2 what is the probability that a randomly selected song had 501-1,000 plays given that the song was country?

The area enclosed by the figure is 6425 square meters.

The area enclosed by the figure is made up of a square of 50m x 50m = 2500 m^2 There are four semicircles attached to each side of the square.

Each semicircle has a radius of 25m, so the area of each semicircle is,

(1/2) * pi * 25^2

= (1/2) * 3.14 * 625 m^2.

The total area of the four semicircles is,

4 * (1/2) * 3.14 * 625 m^2

= 2 * 3.14 * 625 m^2

= 3925 m^2

To find the total area enclosed by the figure, add the area of the square to the area of the semicircles:

2500 m^2 + 2 * 3.14 * 625 m^2

= 2500 m^2 + 3950 m^2

= 6425 m^2.

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Answer:

multiply by 5, t = 14.5

Step-by-step explanation:

t/5 = 2.9 (multiply each side by 5)

t = 14.5

Answer:

Proof below

Step-by-step explanation:

A number, p, is divisible by another number, d, if and only if there is some non-negative integer, n, such that n*d=p.

To prove that, 300 is divisible by 10 because, 30 is a non-negative integer, and 10*30=300.

Strategies for Divisibility by a composite number

Note that in the previous example, 10 is a composite number.  This means that both one 2 and one 5 (the full list of 10s factors) had to be factored out of the 300.

In the given problem, we are to prove that the number is divisible by 14.  Observe 14 is composite with factors of 2 and 7.

Since the expression is given with exponents, it will be helpful to recall a few exponent properties to algebraically manipulate the expression.

Recall the following property of exponents:

Original expression...

\(8^{10}-2^{27}\)

Recognizing 8 as a power of 2...

\((2^3)^{10}-2^{27}\)

Simplifying and rewriting so that both terms are powers of 2...

\(2^{30}-2^{27}\)

Observing that both terms have 27 twos as factors...

\(2^{27}*2^{3}-2^{27}\)

Factoring out 27 twos...

\(2^{27}*(2^{3}-1)\)

Simplifying the expression in the parenthesis:

\(2^{27}*(8-1)\)

\(2^{27}*(7)\)

Knowing that we also need a factor of 2, use properties of exponents, and associative property of multiplication...

\((2^{26}*2^1)*7\)

\(2^{26}*(2^1*7)\)

\(2^{26}*(2*7)\)

\(2^{26}*14\)

Since 2^26 is a non-negative integer, the original expression is divisible by 14.

Answer:

c

Step-by-step explanation:

Answer:

42 inches

Step-by-step explanation:

Let x represent the length of the shorter piece then...

2x=28

Divide both sides by 2

x=14

The shorter one is 14 inches long and the longer one is 28 inches long. Now, we add these two numbers to find the original length of the lumber.

14in+28in=42 inches

Answer:

x=2

Step-by-step explanation:

The Axis of Symmetry is when a line is put where it splits the parabola in the half perfectly. The vertex is where the parabola starts. The line x=2 is when it splits it into two congruent parts.

Answer: 3

Step-by-step explanation:

Take your equation x-1=2

Now put 3 in for x

3-1=2

2=2

x=3

Answer:

x = 3

Step-by-step explanation:

Substitute x for each answer until you get an answer equal to 2.

3 - 1 = 2

2 - 1 = 2

1 - 1 = 2

The only correct equation is 3 - 1 = 2, so 3 is x.

Answer:  -164

Step-by-step explanation:

Answer:-164

Step-by-step explanation:

−2(−8)

2

+2(−8)−20

Plug into each x-value

−

2

(

64

)

+

2

(

−

8

)

−

20

−2(64)+2(−8)−20

Square first

−

128

−

16

−

20

−128−16−20

Multiply

f

(

−

8

)

=

−

164

f(−8)=−164

The explicit formula for the given sequence is Fn = ((1 + sqrt(5))^n - (1 - sqrt(5))^n) / (2^n * sqrt(5))

To find an explicit formula for the given recurrence relation and initial conditions, we first need to understand the sequence and its behavior. The recurrence relation provided indicates that the next term in the sequence is equal to the sum of the two preceding terms. This type of sequence is commonly known as a Fibonacci sequence.

Now, let's find the explicit formula for the sequence. We can start by writing out the first few terms of the sequence to see if we can notice a pattern:

0, 1, 1, 2, 3, 5, 8, 13, 21, ...

We can see that the first two terms of the sequence are 0 and 1, respectively. Using the recurrence relation, we can find the third term by adding the previous two terms, which gives us 1. We can continue this process to find the fourth term (2), fifth term (3), and so on.

To find the explicit formula, we can use Binet's formula for Fibonacci numbers:

Fn = ((1 + sqrt(5))^n - (1 - sqrt(5))^n) / (2^n * sqrt(5))

where n is the nth term in the sequence. Using this formula, we can find any term in the sequence without having to calculate each preceding term.

In summary, the explicit formula for the given sequence is Fn = ((1 + sqrt(5))^n - (1 - sqrt(5))^n) / (2^n * sqrt(5)). This formula can be used to find any term in the sequence without having to calculate each preceding term.

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The total surface area of the pyramid is: 208.88 m²

The surface area of the pyramid is simply the sum of the areas of all the given surfaces.

Formula for the area of a triangle is:

Area = ¹/₂bh

where:

b is base

h is height

Area of four side triangles = 4(¹/₂ * 8 * 12) = 192 m²

Using Pythagoras theorem, the height of the base triangle is:

x = 4.22

Area of base = ¹/₂ * 8 * 4.22 = 16.88 m²

Total surface area = 192 + 16.88

= 208.88 m²

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\(\text{Given that,}\\\\z = \sin(xy)\\\\\text{Now,}\\\\\textbf{L.H.S}\\\\=\dfrac 1y \cdot\dfrac{\partial z }{\partial x}\\\\\\=\dfrac{1}{y} \cdot \dfrac{\partial }{\partial x}(\sin(xy))\\\\\\=\dfrac 1y \cdot \cos(xy) \cdot y\dfrac{\partial }{\partial x}(x)\\\\\\=\cos(xy)\)

\(\textbf{R.H.S}\\\\=\dfrac 1x \cdot \dfrac{\partial z }{\partial y}\\\\\\=\dfrac 1x \cdot \dfrac{\partial }{\partial y}(\sin (xy))\\\\\\=\dfrac 1x \cdot x \cdot \cos(xy) \dfrac{\partial }{\partial y}(y)\\\\\\=\cos(xy)\\\\\)

\(\textbf{L.H.S} = \textbf{R.H.S}\\\\\text{Showed.}\)

Answer:

$24.38

Step-by-step explanation:

f(h) = 3.75h + 7.50

h = 4.5

f(4.5) = 3.75(4.5) + 7.50

f(4.5) = 24.375

Answer: $24.38

The mistake Sofia did will doing survey is mentioned in option A, B, and D.

Survey:

In human research, a survey is a list of questions designed to extract specific data from a specific group of people. Surveys can be conducted by phone, email, internet, street corner or shopping mall. Surveys are used to gather or generate insights in areas such as social surveys and demographics.

Research studies are commonly used to assess thoughts, opinions, and feelings. Research can be specific and narrow, or it can set more global and broad goals. Psychologists and sociologists often use surveys to analyze behavior, but they also serve the more practical needs of the media, such as evaluating political candidates, public health officials, professional organizations, and advertising and marketers. It is also used to meet Research studies are also used in various medical and surgical fields to gather information about the practice patterns of health care workers and their attitudes towards various clinical problems and diseases. Health professionals who may participate in research studies include, but are not limited to, physician nurses and physical therapists. A questionnaire consists of a series of pre-determined questions for a sample. A representative sample, that is, a sample representative of the larger population of interest, can be used to describe the attitudes of the population from which the sample was drawn. Additionally, you can compare the attitudes of different population groups and look for changes in attitudes over time. Proper sample selection is very important as it allows the sample results to be generalized to the population. This is the overall purpose of the research study. Additionally, it is important to ensure that the survey questions are not biased. B. Use of Obscene Language. This prevents survey results from being inaccurate.

According to the Question:

The survey included 40 children.

The movie Sofia chose was " Three Little Princesses"

The mistake in the way she selected her sample was:

Option A: The sample of 40 children is too small to represent all kindergartners.

Option B: The sample was taken at a specific movie, which will skew data towards that type of movie.

Option D: The sample should include the adults with the children instead of only children.

Therefore, the mistake Sofia did will doing survey is mentioned in option A, B, and D.

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Answer:80 liters of petrol

The required coefficient of y in  \((3xy + 2)^4\) is 96x.

The binomial expansion is a formula for expanding a binomial expression of the form \((a + b)^n\\\), where "a" and "b" are constants and "n" is a positive integer. The expansion gives the coefficients of each term in the expansion.

Here,
We can use the binomial theorem to expand the expression,

\((3xy + 2)^4 = C(4,0) (3xy)^4 (2)^0 + C(4,1) (3xy)^3 (2)^1 + C(4,2) (3xy)^2 (2)^2 + C(4,3) (3xy)^1 (2)^3 + C(4,4) (3xy)^0 (2)^4\)

where C(n,k) represents the number of combinations of k objects that can be chosen from a set of n objects.

The coefficient of y in the fourth term is given by the coefficient of (\(3xy)^1 (2)^3\). That is, we need to find the coefficient of y in the term:

\(C(4,3) (3xy)^1 (2)^3 = 4 * 3xy * 2^3 = 96xy\)

Therefore, the coefficient of y in  \((3xy + 2)^4\) is 96x.

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Answer:

Age (in years) | Number of kids

3                      | 1

4                      | 5

5                      | 2

Step-by-step explanation:

In the picture there is one 3, five 4s, and two 5s.

So that means there is 1 kid that is 3.

5 kids that are 4,

and 2 kids that are 5.

Answer:

3       1

4        5

5         2

Step-by-step explanation:

thats the anwser on khan

Answer:

  -8k -2

Step-by-step explanation:

You want the simplified form of -2(k+1)-6k.

The process of simplifying an algebraic expression includes ...

Parentheses are removed using the distributive property. The factor outside parentheses multiplies each term inside.

  -2(k +1) -6k

  = (-2)(k) +(-2)(1) -6k = -2k -2 -6k

Terms with the same variable content can be combined by adding their coefficients. (The distributive property is involved here, too.)

  = (-2 -6)k -2 = -8k -2

The simplified expression is -8k -2.

Answer:

63

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 63, first do 7+9, which is 16. 9x16=144. 144-81=63, which is why i believe the answer is 63.

Answer:

r:
The function is

The remainder when f(x) is divided by x−2 is 23.

To find:The value of k.

Solution:

According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).

It is given that, the remainder when f(x) is divided by x−2 is 23. By using remainder theorem, we get

Put x=2, to find the value of f(2).Therefore, the value of k is 8.

Step-by-step explanation:

Answer:

\( \boxed{D. \: (f-g)(x) = {x}^{2} + 4x + 3} \)

Given:

\(f(x) =2 {x}^{2} - 5 \\ g(x) = {x}^{2} - 4x - 8\)

To find:

\((f - g)(x) = f(x) - g(x)\)

Step-by-step explanation:

\( \implies(f - g)x = f(x) - g(x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) - ( {x}^{2} - 4x - 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) + (- {x}^{2} + 4x + 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - 5 - {x}^{2} + 4x + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - {x}^{2} + 4x - 5 + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 8 - 5 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 3\)

Answer:

2) x=5

4) 6y-3

Step-by-step explanation:

2) 2x-3=7

Add 3 on both sides (-3+3 cancel each other out and 7+3 is 10)

Now your equation is 2x=10

Divide 2 from both sides

2x/2 cancel each other and 10/2 is. Therefore, x=5

4) 3(2y-1)

3 times 2y is 6y

3 times -1 is -3 (negative times positive is negative)

Equation: 6y-3

Starting from the given equation, we have:

a = pbp^-1

Multiplying both sides by p on the right:

ap = pb

Multiplying both sides by p^-1 on the left:

p^-1ap = b

So, the solution for b in terms of a is:

b = p^-1ap

Therefore, if p is invertible and a=pbp^-1, we can solve for b by using the above equation, which expresses b in terms of p and a.

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We want to solve for b in terms of a, so we want to isolate b on one side of the equation. This shows that the original equation holds with \(b = p^-1ap\), which means that our solution is correct.

To do this, we can use algebraic operations to manipulate the equation.

First, we can multiply both sides of the equation by p on the right:\(ap = pb\)

This gives us a new equation that is equivalent to the original equation. Next, we can multiply both sides of the equation by \(p^-1\)on the left:\(p^-1ap = b\)

This gives us the solution for b in terms of a. We can see that b is equal to \(p^-1ap\), which means that b is obtained by multiplying a by p^-1 on the left and p on the right. In other words, b is obtained by transforming a using the inverse of p.

To check that this solution is correct, we can substitute the expression for b back into the original equation and verify that it holds:

\(a = pbp^-1\)

\(a = p(p^-1ap)p^-1\)

\(a = ap^-1p^-1\)

\(a = aa^-1\)

\(a = a\)

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The maximum value of f is 12.

Simplex method to maximize the given function is shown below:

Maximize f = 3x + 8y

Subject to 14x + 7y ≤ 56 and 5x + 5y ≤ 80

Step 1: Rewrite the given problem in the standard form by adding slack variables. 14x + 7y + s1 = 56 5x + 5y + s2 = 80

Step 2: Rewrite the objective function such that it contains all the variables on the left. f - 3x - 8y = 0

Step 3: Convert the objective function into an equation by introducing a new variable z. f - 3x - 8y + z = 0

Step 4: Form the initial simplex tableau by placing all the variables and coefficients in a matrix as shown below:

x y s1 s2

RHS 14 7 1 0 56 5 5 0 1 80 -3 -8 0 0 0 1 1 0 0 0

Step 5: Apply the simplex algorithm to find the maximum value of f. We start with the element -3 in row 3 and column 1. We divide all the elements in row 3 by -3.

This gives: x y s1 s2 RHS 14 7 1 0 56 5 5 0 1 80 1.0 2.67 0 0 0 1 1 0 0 0

The smallest positive number is 5/2.

Therefore, we choose the element 5/2 in row 2 and column 2. We divide all the elements in row 2 by 5/2.

This gives: x y s1 s2 RHS 8.57 0.71 1 -1.43 51.43 1 1 0 0 16

The smallest positive number is 1.

Therefore, we choose the element 1 in row 3 and column 2.

We divide all the elements in row 3 by 1. This gives: x y s1 s2 RHS 1.4 0 0.37 -0.2 8.8 1 0 -0.2 0.4 4.0

The optimum solution is x = 4, y = 0, s1 = 0.4, s2 = 0. The maximum value of f is:f = 3x + 8y = 3(4) + 8(0) = 12.

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Answer: 3,935,400 mph

Step-by-step explanation:

\(\Delta t = \frac{x(distance)}{v(velocity)} \\\\31(hours) =\frac{122,000,000(miles)}{3,935,400(mph)}\)

Hence, the velocity needed for Santa to travel 122,000,000 miles in 31 hours is 3,935,400 mph.

The average of the sample is between 27 and 28.8 grams is approximately 0.9025.

The probability that the average fat content of a sample of 10 candy bars falls between 27 and 28.8 grams can be determined by calculating the z-scores and using the standard normal distribution.

To calculate the z-scores, we need to standardize the values of 27 and 28.8 using the formula (x - μ) / (σ / √n), where x is the value, μ is the mean, σ is the standard deviation, and n is the sample size. For 27, the z-score is (27 - 28) / (1.5 / √10) ≈ -1.89, and for 28.8, the z-score is (28.8 - 28) / (1.5 / √10) ≈ 1.49.

Next, we look up the cumulative probabilities associated with these z-scores in the standard normal distribution table or use a calculator. The probability corresponding to the z-score of -1.89 is approximately 0.0294, and the probability corresponding to the z-score of 1.49 is approximately 0.9319.

Finally, we subtract the cumulative probability of the lower z-score from the cumulative probability of the higher z-score to find the probability that the average falls between 27 and 28.8 grams. Therefore, the probability is approximately 0.9319 - 0.0294 ≈ 0.9025.

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If x/y + y/x = -1, the value of \(x^3-y^3\) is \((x - y)(y^2).\)

To find the value of x^3 - y^3, we can use the identity for the difference of cubes, which states that:

\(a^3 - b^3 = (a - b)(a^2 + ab + b^2).\)

In this case, we have:

\(x^3 - y^3 = (x - y)(x^2 + xy + y^2).\)

To find the value of x^3 - y^3, we need to determine the values of x and y. Given that x/y + y/x = -1, we can rewrite this equation as:

\((x^2 + y^2) / (xy) = -1.\)

Multiplying both sides by xy, we get:

\(x^2 + y^2 = -xy.\)

Substituting this expression into the equation for x^3 - y^3, we have:

\(x^3 - y^3 = (x - y)(x^2 + xy + y^2)\\= (x - y)(-xy + xy + y^2) [Using x^2 + y^2 = -xy]\\= (x - y)(y^2).\)

Therefore, the value of \(x^3-y^3\) is \((x - y)(y^2).\)

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if x/y + y/x = -1, then the value of x³ - y³ is 0.

Prove this using the following steps:

Add 1 to both sides of the equation x/y + y/x = -1:

x/y + y/x + 1 = -1 + 1

(x² + y²) / xy = 0

Multiply both sides of the equation by xy:

x² + y² = 0

Cube both sides of the equation x² + y² = 0:

(x² + y²)³ = 03

x³ + 3x2y + 3xy² + y³ = 0

Subtract 3x2y + 3xy² from both sides of the equation x³ + 3x2y + 3xy² + y3 = 0:

x3 - y3 = -3x2y - 3xy²

Factor out -3xy from the right side of the equation:

x³ - y³ = -3xy(x + y)

Since x/y + y/x = -1, x + y = 0. Substitute this into the equation x³ - y³ = -3xy(x + y):

x³ - y³ = -3xy(0)

x³ - y³ = 0

Therefore, the value of x³ - y³ is 0.

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Option C has an x larger than or equal to 5 domain and a y less than or equal to 3 range. y = negative Start Root x minus 5 End Root + 3.

What is Domain and Range of Functions?

Let's consider a function y=f(x) where x is a set of values such as f exists. All the values of x are called the domain of f. Similarly, f takes a set of values when x takes values in its domain. All the values f could take is its range. We know the domain and range of f are, respectively x≥5,y≤3. Since all the options contain a square root, we already know the domain will be restricted by the argument of a square root, that is, it must be non-negative. From the given domain, we construct the argument of the square root x≥5 x-5≥0. It corresponds to the argument of a square root that must be non-negative. So our function must contain √x-5. Now about the range, the square root is assumed as positive or zero, and the range is restricted as less or equal to zero, so we operate the inequality for y

y≤3=>0≤3-y=>3-y≥0

Now we can safely say

3-y=√x-5

Or equivalently

y=3√x-5

This corresponds to the option C. written as

y= negative start root x minus 5 end root + 3

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Answer:

joe mama

Step-by-step explanation:

Juan have to sell 4 fruit baskets to make enough money.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Juan's Fundraising Progress Juan sold fruit baskets for $16.50 each and pencils for $1.50 each. His goal is to sell $300 worth of goods to pay for his trip's cost.

His goal is to sell $300, the pencil sold a total of $81, so the fruit basket will sell a total of 300-81=219

Las three week: 219-165 =$54

Fruit baskets for $16.50 per each

54/16.50 =3.27

So, he have to sell 4 fruit baskets to make enough money

Hence, Juan have to sell 4 fruit baskets to make enough money.

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"Your question is incomplete, probably the complete question/missing part is:"

Juan's Fundraising Progress Juan sold fruit baskets for $16.50 each and pencils for $1.50 each. His goal is to sell $300 worth of goods to pay for his trip's cost. How many fruit baskets will Juan need to sell the last three weeks to achieve his goal?