b. Tyler's playlist has 36 songs. Noah's playlist has one quarter as many songs as
Tyler's playlist. How many songs are on Noah's playlist?
w = 4 times 36
w = 36 divided by 4
4w = 36
w/4 = 36

Answer:

the weight-to-length ratio of the gold wire:

\( \frac{17.8g}{160cm} = 0.11125g \: per \: \\ cm\)

the weight of 210cm gold wire:

\(210cm \times 0.11125g \: per \: cm = 23.3625g\)

The fourth corner of the rectangle is located at (5, 40.0625).

The fourth corner of the rectangle must have the same y-coordinate (3.5) as the third corner and the same x-coordinate (5) as the second corner. To find the fourth corner, we must use the distance formula. The distance formula is\(d = √[(x2-x1)^2 + (y2-y1)^2]\). We already know the x-coordinate is 5, so we will be solving for the y-coordinate. We will use the coordinates of the first corner and the second corner. Plugging in the coordinates, we get: \(d = √[(5- -4)^2 + (3.5 - -2)^2]\). Simplifying, we get d = \(√[(9)^2 + (5.5)^2] = √[81 + 30.25] = √111.25\). Since we are solving for the y-coordinate, we can use the following equation: \(y=d^2 - (x2-x1)^2 + y1\). Plugging in the values, we get: \(y = (111.25)^2 - (5 - -4)^2 + -2 = 123.0625 - 81 + -2 = 40.0625.\)Thus, the fourth corner of the rectangle is located at (5, 40.0625).

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Answer:

  A = C²/(4π)

Step-by-step explanation:

You want a formula for the area of a circle, given its circumference.

Relevant relations for a circle are ...

  A = πr² . . . . . . . . A = area, r = radius

  C = 2πr . . . . . . . . C = circumference

Solving the circumference equation for r, we find ...

  r = C/(2π)

Substituting that into the area equation, we have ...

  A = π(C/(2π))²

  A = C²/(4π)

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The function that models the area A of a circle in terms of its circumference C is A = C²/(4π).

The formula for the circumference of a circle is C = 2πr or C = πd, where r is the radius and d is the diameter. To find a function that models the area A of a circle in terms of its circumference C, we can rearrange the formula for the circumference to solve for the radius: r = C/(2π). Substituting this value of r into the formula for the area, we get A = π(C/(2π))² = C²/(4π).

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If U and V are orthogonal then the magnitude of U times V will be U.V = 0 or |UxV| = uv.

U and V are two orthogonal vectors.

since the angle between them is θ = 90⁰

let u and v be the magnitudes of the vectors U and V respectively.

so first dot-product: If two non-zero vectors are orthogonal than the dot product of these vectors will be zero. Dot product of two vectors is expressed by:

U.V = uv cosθ

since these vectors are orthogonal so,

U.V = uv cos90⁰ = 0

And Cross-product: Magnitude Cross product of two orthogonal vectors will be equal to product of magnitude of these vectors.

|UxV| = uv sin θ

|UxV| = uv sin 90⁰ = uv

Therefore, U.V = 0, |UxV| = uv.

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Answer: there are no x intercepts

Step-by-step explanation: this graph will continue on both ends away from the x axis, and it never crosses it

Answer: b think

Step-by-step explanation: b

The calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.



To determine the number of significant figures in a calculation, we follow the rules for significant figures:

1. Addition and subtraction: The result should have the same number of decimal places as the measurement with the fewest decimal places.
2. Multiplication and division: The result should have the same number of significant figures as the measurement with the fewest significant figures.

Let's break down the calculation step by step:
\(9.04-8.23+21.954+81.0\) yields \(104.764\).

Now, multiplying this result by \(3.1416\) gives \(329.5719744\).

The measurement with the fewest significant figures in the calculation is \(3.1416\), which has 5 significant figures.

According to the rule for multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures. Hence, the result, \(329.5719744\), will be rounded to 4 significant figures.

Therefore, the calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.

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Answer: 3 hours and 36 minutes

Step-by-step explanation:

720/400 = 1.8

1.8*2 = 3.6

3.6 hours = 3 hours and 36 minutes

Step-by-step explanation:

= (1 + 5z)(-4)

= (1 + 5z) × (-4)

= 1.(-4) + 5z. (-4)

= -4 - 20z

Answer:

1/10 of the class

Step-by-step explanation:

We already know:

Determining the fraction of the total students rides on school bus

\(\implies\dfrac{7}{10} = \text{Walk}\)                              \(\dfrac{10}{10} - \dfrac{7}{10} = \boxed{\dfrac{3}{10}} \ \text{students remain}\)

\(\implies\dfrac{1}{5} = \dfrac{2}{10} = \text{Ride bikes}\)              \(\dfrac{3}{10} - \dfrac{2}{10} = \boxed{\dfrac{1}{10} }\ \text{student remain}\)

Thus, 1/10 of the class rides on the bus.

Answer:

No

Step-by-step explanation:

$6 x 5 weeks = $30

$5 x 3 weeks = $15

$30+$15 = $45

He will not have enough for new snow pants. He would need $3 more.

The value of beta considering the standard deviation of the market is equal to 0.8419 or 1.1581

Tracking Error Volatility is defined as the standard deviation of the difference in returns between an investment and its benchmark.The extent to which the returns on a portfolio deviate from those of a benchmark is known as tracking error. It's also known as the active risk of a portfolio.It's typically expressed as a percentage and is computed as the standard deviation of the portfolio's active returns divided by the expected portfolio return or average benchmark return.

Beta (β) is a measure of a security or portfolio's volatility in comparison to the entire market. Beta compares the volatility of a security to that of the overall market, which has a beta of 1.0.The market, typically represented by an index such as the S&P 500, has a beta of 1.0. A beta of less than 1.0 indicates that the security is less volatile than the market, whereas a beta of more than 1.0 indicates that the security is more volatile than the market.As a result, beta is a measure of the systematic risk of a security or portfolio.

To calculate the possible value(s) for Beta, we have to use the following formula:

σ TE2=(1−β) 2 σ m2 +σ ε2

Here is the solution:

σ TE2=(1−β) 2 σ m2 +σ ε23.5²

= (1 - β)² × 20² + 1.5²12.25

= (1 - β)² × 400 + 2.25(1 - β)²

= 10/400

= 0.025

Taking the square root of both sides, we get:

1 - β = 0.1581 or -0.1581β

= 0.8419 or 1.1581

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System of equations that is satisfied by the solution is C) x + 2y = 10 and x − y = 6.

The solution shown in the graph satisfies the equations x + 2y = 10 and x − y = 6, which means the answer is C. To see why, note that both lines intersect the y-axis at different points, so their equations cannot be of the form x + ay = b for the same values of a and b.

However, both lines intersect the point (-2, 8), so they must satisfy the equations x + 2y = 10 and x − y = 6. These equations can be solved simultaneously to find the unique solution (x, y) = (2, 4).

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Answer:

3 dollars

Step-by-step explanation:

15 x .2

Because you convert the percentage to a decimal

Answer:

(4, 5) Midpoint

Step-by-step explanation:

Need- What is a midpoint of the line segment?

Solution:

From the compound interes formula, given by

where A is the future amount, P is the principal value, r is the rate, n is the number of times interest per unit of time t, we have

which gives

Then, since the loan is paid in full at the end of the year, we must paid back: $62,857.80

The mean of 3X is 6 and the variance of 3X is 36

Let X and Y be independent random variables with μX = 2, σX = 2, μY = 2, and σY = 3. To find the mean and variance of 3X, we can use the properties of linear transformations for means and variances.

The mean of 3X is found by multiplying the original mean of X (μX) by the scalar value (3):
Mean of 3X = 3 * μX = 3 * 2 = 6

The variance of 3X is found by squaring the scalar value (3) and then multiplying it by the original variance of X (σX²):
Variance of 3X = (3^2) * σX² = 9 * (2^2) = 9 * 4 = 36

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1. Mean of 3X = 3 * μX = 3 * 2 = 6
2. Variance of 3X = (3^2) * σX^2 = 9 * (2^2) = 9 * 4 = 36

To find the mean and variance of 3X, we use the following properties:
Since X and Y are independent random variables with given means (μX and μY) and standard deviations (σX and σY), we can find the mean and variance of 3X.
Mean: E(aX) = aE(X)
Variance: Var(aX) = a^2Var(X)

Using these properties, we can find the mean and variance of 3X as follows:

Mean:
E(3X) = 3E(X) = 3(2) = 6
Therefore, the mean of 3X is 6.

Variance:
Var(3X) = (3^2)Var(X) = 9(2^2) = 36
Therefore, the variance of 3X is 36.

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Answer:

24 pages per hour :)

Step-by-step explanation:

We need to divide to solve :)

144/6 = 24

Have an amazing day!!

Please rate and mark brainliest!!

The school can form three sides of a rectangular playground using 320 meters of fencing by creating two equal-length sides perpendicular to the school building and a longer side opposite to the building.

The length of the longer side will be 160 meters, and the two equal-length sides will be 80 meters each. To form a rectangular playground with three sides using 320 meters of fencing, the school needs to consider the perimeter of the rectangle. Let's assume the length of the longer side opposite to the school building is "L" meters. The other two equal-length sides perpendicular to the building will be "W" meters each.

The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter. In this case, P is equal to 320 meters. Substituting the given values, we have 320 = 2L + 2W.

Since the playground borders the school building, one side of the rectangle does not need fencing. Therefore, the school needs to consider three sides only. One side is the longer side opposite the building, and the other two sides are equal in length and perpendicular to the building.

Since the two equal-length sides are perpendicular, they are half the length of the longer side. Therefore, W = L/2.

Substituting this relationship into the perimeter equation, we get 320 = 2L + 2(L/2). Simplifying further, we have 320 = 2L + L, which becomes 3L = 320.

Solving for L, we find L = 320/3 = 106.67 meters.

Therefore, the length of the longer side is approximately 106.67 meters, and the two equal-length sides are half that length, which is approximately 53.33 meters each. Rounding these values, we have the longer side measuring approximately 160 meters and the two equal-length sides measuring approximately 80 meters each.

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The variance of the number of heads which come up when a fair coin is flipped 9 times is 2.25.

In this case, number of trials n = 9

Note that X = X₁ + X₂ + X₃ + X₄ +X₅ + X₆ + X₇ + X₈ + X₉

Xₐ = 0 if the flip #i is tails, and

Xₐ = 1 if the flip #i is heads.

Since the Xi are independent, then we have:

Var (X) = Var (X₁ + … + X₉)

= Var (X₁) + Var (X₂) + … + Var (X₉)

Then,

Var (Xₐ) = E(Xₐ^2) – E(Xₐ)^2

= 1/2 – 1/4

= 1/4

So, the variance is:

Var (X) = Var (X₁) + Var (X₂) + … + Var (X₉)

= 9 * (1/4)

= 9/4

= 2.25

Hence, the variance of the number of heads which come up when a fair coin is flipped 9 times is 2.25.

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Answer:

-3x+12 = -3(x-4)

-2(x+9) = −2x−18

Step-by-step explanation:

Answer:

4 and -9

Step-by-step explanation:

-3x+12=0

subtract 12 from both sides

-3x=-12

divide both sides by -3

x=4

-2(x+9)

distribute the -2 throughout

-2x-18=0

add 18 to both sides

-2x=18

divide both sides by -2

x= -9

Answer:

3p³ + 2p² – 3p – 11

Step-by-step explanation:

From the question given above, the following data were obtained:

Side 1 (S₁) = –1(p + 5)

Side 2 (S₂) = 2(p² – 3)

Side 3 (S₃) = 3p³ – 2p

Perimeter (P) =?

The perimeter of the triangle can be obtained as follow

P = S₁ + S₂ + S₃

P = –1(p + 5) + 2(p² – 3) + 3p³ – 2p

Clear bracket

P = –p – 5 + 2p² – 6 + 3p³ – 2p

Rearrange

P = 3p³ + 2p² – 2p – p – 6 – 5

P = 3p³ + 2p² – 3p – 11

Therefore, the perimeter of the triangle is 3p³ + 2p² – 3p – 11

The value of the variable is 9.3

What is a variable ?

Any mathematical object can be represented by a variable in mathematics as a symbol and placeholder. A variable can, for example, represent a number, a vector, a matrix, a function, the argument of a function, a set, or a set's component.

There are many variables, including height, age, wealth, province of birth, academic standing, and kind of dwelling. Two major categories—categorical and numeric—can be used to group variables.

As you can see, categorizing variables into four separate groups is one approach to see them ( nominal, ordinal, interval and ratio).

0.9g - 2.1h

Substitute the values g = 15 , h = 2

0.9(15) - 2.1(2)

13.5 - 4.2

= 9.3

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Answer:

8 is correct!

Step-by-step explanation:

each table can seat 5 people (3+2=5) then figure out how many tables that can seat 5 you will need for 40 people, do this by multiplication 5×8=40 so you need 8 tables

Answer:

sec x = √10 /3

Step-by-step explanation:

tanx = 1/3

tan²x = (1/3)²

= 1/9

Trigonometric identity

sec²x - tan²x = 1

sec²x = 1 + tan²x

sec²x = 1 + 1/9

= 10/9

Now, sec x = √(10/9)

= √10 / 3

Hope this answer helps you....

We know that all three terms are important in supervisory experience, but "content" is one that is more crucial than the others

The terms mentioned in your question are "content", "loaded", and "important". In the context of supervisory experience, these terms refer to the quality and quantity of information and tasks assigned to subordinates.

"Content" refers to the information and tasks that are communicated by the supervisor to the subordinate. This includes instructions, feedback, and guidance on how to perform tasks effectively.

"Loaded" refers to the amount of information and tasks that are assigned to subordinates. This can be overwhelming if the workload is too heavy, which can lead to stress and burnout.

"Important" refers to the significance of the information and tasks assigned to subordinates. This relates to the impact that these tasks have on the overall success of the team or organization.

When it comes to supervisory experience, all three terms are important. However, the term "content" is one that is more important than the others. This is because the quality of information and guidance provided by the supervisor has a significant impact on the subordinate's ability to perform tasks effectively. A lack of clear guidance can result in confusion, mistakes, and delays in completing tasks.

The amount of information and tasks assigned to subordinates also has an impact on the supervisory experience. If the workload is too heavy, it can lead to stress and burnout, which can negatively impact job performance. Therefore, supervisors need to balance the workload to ensure that subordinates are not overwhelmed.

The significance of the information and tasks assigned to subordinates also plays a crucial role in supervisory experience. If tasks are not important or relevant, subordinates may feel demotivated or disengaged. Therefore, supervisors need to ensure that tasks are aligned with the team's goals and contribute to the overall success of the organization.

In terms of the subordinate's experience, all three terms play a critical role. Clear and concise instructions (content) can help subordinates perform tasks effectively. A balanced workload (loaded) can help subordinates manage their time and reduce stress. Assigning important tasks (important) can help subordinates feel valued and motivated to contribute to the team's success.

In conclusion, all three terms are important in supervisory experience, but "content" is one that is more crucial than the others. Providing clear guidance and instructions can help subordinates perform tasks effectively, which ultimately leads to team success.

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Answer:

Which quadratic equation models the main cable of the bridge correctly?

y = 0.048x2 – 2494

y = 0.048x2 – 6

y = 0.0048(x – 50)2 + 6 (This is correct)

y = 0.0048(x – 6)2 + 50

The value of a is 0.0048.

Given that,

The main cable of a suspension bridge forms a parabola described by the equation,

\(\rm y = a(x-50)^2+6\)

We have to find,

The value of a.

According to the question,

The given relationship between the variables x and y is,

\(\rm y = a(x-50)^2+6\)

In the given graph the points of the parabola are (30, 7.92), (50, 6), and (70, 7.92)

1. The value of an at the point (30, 7.92) is,

\(\rm y = a(x-50)^2+6\\\\7.92 = a (30-50)^2 +6\\\\7.92 = a(-20)^2 + 6\\\\7.92 = 400a +6\\\\7.92 -6 = 400a\\\\1.92 = 400a\\\\a = \dfrac{1.92}{400}\\\\a = 0.0048\)

2. The value of an at the point (70, 7.92) is,

\(\rm y = a(x-50)^2+6\\\\7.92 = a (70-50)^2 +6\\\\7.92 = a(20)^2 + 6\\\\7.92 = 400a +6\\\\7.92 -6 = 400a\\\\1.92 = 400a\\\\a = \dfrac{1.92}{400}\\\\a = 0.0048\)

3.  The value of an at the point (50, 6) is an infinite solution the value of a is not defined at the points.

Hence, The value of a is 0.0048.

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Answer:

And, then what? rp?

Step-by-step explanation:

Answer: Elevators wer invented in 1880 by Elisha Otis's . They could carry cargo and people to higher floors. Now we see them everywhere, in places such as hospital, schools, malls, and even some houses.

Hey there,

We have,

f(x) = x² + 11x + 30g(x) = x + 6

Now,

(f.g)(x) = f(g(x))

Substituting...

g(x) = x + 6f(g(x)) = f(x + 6)

Now,

f(x + 6)= (x + 6)² + 11(x + 6) + 30= x² + 12x + 36 + 11x + 66 + 30= x² + 23x + 132

So,The value is x² + 23x + 132