Suppose the distributor charges the artist a $50.00 cost for distribution, and the streaming services pay $5.00 per unit. (Note: One unit = one thousand streams)

Model the profit for the total number of streams by answering the questions below:

1. Use the cost for distribution to build the y-intercept. What is the y-intercept?
2. Use the payment per unit to build the slope. What is the slope?
3. What is the equation of this line?
4. After how many streams will the distributor charges be paid?
5. How many streams would it take to profit $950,000?

Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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Answer: \(cosx =- \sqrt{ 1 - sin^2x}\)

Step-by-step explanation:

Generally speaking; \(cos^2x + sin^2x = 1\)

rearranging this gives us all sorts of cool things.

for now, we will use: \(cosx = \sqrt{ 1 - sin^2x}\)

This however, is general.

In the third quadrant, cosine is negative. So cosx in QIII will be:

\(cosx =- \sqrt{ 1 - sin^2x}\)

and thats the answer :)

Answer:

Step-by-step explanation:

(a) If the state space is taken as \(S = \{(XY),(XZ),(YZ)\}\) , the probability of transitioning from one state, say (XY) to another state, say (XZ) will be the same as the probability of Y losing out to X, because if X and Y were playing and Y loses to X, then X and Z will play in the next match. This probability is constant with time, as mentioned in the question. Hence, the probabilities of moving from one state to another are constant over time. Hence, the Markov chain is time-homogeneous.

(b) The state transition matrix will be:

\(P=\begin{vmatrix} 0 & p_{XY} & (1-p_{XY})\\ p_{XZ}& 0& (1-p_{XZ})\\ p_{YZ}&(1-p_{YZ}) & 0\end{vmatrix},\)

where as stated in part (b) above, the rows of the matrix state the probability of transitioning from one of the states \(S = \{(XY),(XZ),(YZ)\}\) (in that order) at time n and the columns of the matrix state the probability of transitioning to one of the states \(S = \{(XY),(XZ),(YZ)\}\) (in the same order) at time n+1.

Consider the entries in the matrix. For example, if players X and Y are playing at time n (row 1), then X beats Y with probability \(p_{XY}\), then since Y is the loser, he sits out and X plays with Z (column 2) at the next time step. Hence, P(1, 2) = \(p_{XY}\). P(1, 1) = 0 because if X and Y are playing, one of them will be a loser and thus X and Y both together will not play at the next time step. \(P(1, 3) = 1 - p_{XY}\), because if X and Y are playing, and Y beats X, the probability of which is\(1 - p_{XY}\), then Y and Z play each other at the next time step. Similarly,\(P(2, 1) = p_{XZ}\), because if X and Z are playing and X beats Z with probability\(p_{XZ}\), then X plays Y at the next time step.

(c) At equilibrium,

\(vP = v,\)

i.e., the steady state distribution v of the Markov Chain is such that after applying the transition probabilities (i.e., multiplying by the matrix P), we get back the same steady state distribution v. The Eigenvalues of the matrix P are found below:

\(:det(P-\lambda I)=0\Rightarrow \begin{vmatrix} 0-\lambda & 0.6 & 0.4\\ 0.975& 0-\lambda& 0.025\\ 0.95& 0.05& 0-\lambda\end{vmatrix}=0\)

\(\Rightarrow -\lambda ^3+0.9663\lambda +0.0337=0\\\Rightarrow (\lambda -1)(\lambda ^2+\lambda +0.0337)=0\)

The solutions are

\(\lambda =1,-0.0349,-0.9651.\) These are the eigenvalues of P.

The sum of all the rows of the matrix\(P-\lambda I\) is equal to 0 when \(\lambda =1.\)Hence, one of the eigenvectors is :

\(\overline{x} = \begin{bmatrix} 1\\ 1\\ 1 \end{bmatrix}.\)

The other eigenvectors can be found using Gaussian elimination:

\(\overline{x} = \begin{bmatrix} 1\\ -0.9862\\ -0.9333 \end{bmatrix}, \overline{x} = \begin{bmatrix} -0.0017\\ -0.6666\\ 1 \end{bmatrix}\)

Hence, we can write:

\(P = V * D * V^{-1}\), where

\(V = \begin{bmatrix} 1 & 1 & -0.0017\\ 1 & -0.9862 & -0.6666 \\ 1 & -0.9333 & 1 \end{bmatrix}\)

and

\(D = \begin{bmatrix} 1 & 0 & 0\\ 0 & -0.9651 & 0 \\ 0 & 0 & -0.0349 \end{bmatrix}\)

After n time steps, the distribution of states is:

\(v = v_0P^n\Rightarrow v = v_0(VDV^{-1})^n=v_0(VDV^{-1}VDV^{-1}...VDV^{-1})=v_0(VD^nV^{-1}).\)

Let n be very large, say n = 1000 (steady state) and let v0 = [0.333 0.333 0.333] be the initial state. then,

\(D^n \approx \begin{bmatrix} 1 & 0 & 0\\ 0& 0 &0 \\ 0 & 0 & 0 \end{bmatrix}.\)

Hence,

\(v=v_0(VD^nV^{-1})=v_0(V\begin{bmatrix} 1 & 0 & 0\\ 0 &0 &0 \\ 0& 0 & 0 \end{bmatrix}V^{-1})=[0.491, 0.305, 0.204].\)

Now, it can be verified that

\(vP = [0.491, 0.305,0.204]P=[0.491, 0.305,0.204].\)

Answer:

0.99

Step-by-step explanation:

Median is the middle term (or mean of the middle two terms) of a series arranged in order of magnitude.

Here the weights are already arranged in order and the middle term is 0.99

Therefor the median = 0.99

The probability of the complement of the event is 0.05.

The complement of an event is the probability of that event not occurring. The relationship between the probability of an event and its complement is that they always add up to 1.

Therefore, if the probability of an event occurring is p, then the probability of its complement not occurring is 1-p.

In the case where the probability of an event is 0.95, the probability of its complement not occurring would be 1-0.95 = 0.05. This means that the probability of the complement of the event is 0.05.

This concept is important in probability theory and is used to calculate the probabilities of events and their complements. It allows us to consider all possible outcomes of a given situation and calculate the likelihood of each of them.

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3. We want to solve using properties;

It simply involve trying to reduce numbers to their simpliest form to make multiplication and addition easy without using calculator.

like; 21=20+1, 39=40-1 etc.

4. Given;

Answer:

155.3"^3

Step-by-step explanation:

the volume of a cone: 1/3 \(\pi\)r^2 h

the volume of a right circular cone will be

1/3 \(\pi\)(5.1)^2 * 11.4

310.60 for a full circular cone.

for a right circular cone, we use 90/180 of the volume.

= 155.3

The volume of the cone is 121.8 in³.

A cone is a 3-dimensional shape that consists of a flat circular base and a tip known as the vertex.

Volume of a cone = \(\frac{1}{3}\)πr²h

Where:

π = pi = 22/7

r = radius

h = height

Volume =  \(\frac{1}{3}\) x 22/7 x 5.1² x 11.4 = 121.8 in³

To round off to the nearest tenth, if the hundredth figure is greater or equal to 5, add to the tenth figure, if this is not the case, the tenth figure remains unchanged.

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Answer and Step-by-step explanation:

Solution:

(a)

The waveform has even symmetry.

(b) Obtain its cosine/sine Fourier series representation.

Given:

Period = T = 4 s

W0 = 2π/ T = π / 2 rad/s

F(t) =   { -5t( -2≤t≤5t                         0s≤  t ≤2s                   )}

a0= 1/ T ∫_(-t/2)^(t/2)f(t)dt

    = 1/4 [ ∫_(-2)^0〖-5tdt+ ∫_0^25tdt〗]

  = 1/4 [5/2 x 4 + 5/2 x 4]

  = 1/4 [20 /2 + 20 / 2]

  = 1/4 [10 + 10]

 = 1/4 (20)

 = 5

An= 2/T  ∫_(-t/2)^(t/2)〖f(t)cos⁡(nw0t)dt〗

   = 1/2 [∫_(-2)^0〖-5tcos(nπ/2)tdt+ ∫_0^2〖5tcos(nπ/2)tdt〗〗]

   = 20 / n2π2 [ cos(nπ) – 1]  

 Bn = 0

(Even symmetry)

F(t) = 5 + Ʃn=1∞  20 / n2π2 [ cos(nπ) -1] (cos (nπ/2)t)

Answer:

Step-by-step explanation:

The possibility is 48/200

The probability of people preferred the new soft drink is 6/25.

To find the probability.

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.

Given that:

Total number of people taste test=200

Number of people who participated new soft drink=48

Number of people who participated old soft drink=112

Number of people who  participated could not tell any difference=40

So, the probability of people preferred the new soft drink=

favorable outcome/total number of outcome

probability of people preferred the new soft drink=48/200

probability of people preferred the new soft drink=6/25

So, the probability of people preferred the new soft drink is 6/25.

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Answer:

230%

Step-by-step explanation:

2x3/10=23/10=2.3x100%=230%

Answer:

C.

Step-by-step explanation:

Answer & Step-by-step explanation:

The domain of the function g(x) = ⟨÷⟩6x + 6 is the set of all real numbers, since dividing by zero is not defined.

And it is a linear function, which means that it is a straight line in a 2-dimensional graph. The slope of the line is 6, and the y-intercept is 6, meaning that when x=0, the value of g(x) is 6.

Answer:

D

Step-by-step explanation:

the question says that he has 5 to 2 and if you put it in a fraction you cant reduce it so therefore the answer has to be 5:2

Answer:

D. 5:2

Step-by-step explanation:

He has 5 games so 5: for every 2 school apps so 5:2

Answer:45%

Step-by-step explanation:

Answer: 4%

Step-by-step explanation:

       To answer this question we will put the total (500) in the denominator and the portion (20) in the numerator. Then we will divide.

               20 / 500 = 0.04

       Next, a decimal multiplied by 100 becomes a percent.

               0.04 * 100 = 4%

Answer:

No

Step-by-step explanation:

If you are just seeking answers, you are basically cheating and trying to get someone to do your work...which will not help you learn the material ....sad.

Step-by-step explanation:

x + (-7) ≤ 18

x - 7 ≤ 18

x ≤ 18 + 7

x ≤ 25

Value of x is less than or equal to 25

Answer:

\(\frac{-16}{3} or -5\frac{1}{3}\)

Step-by-step explanation:

\(\frac{2}{3} - 6\) We know that if you add \(\frac{1}{3}\) to \(\frac{2}{3}\\\) it will equal 1.

You need to use that knowledge to solve this problem easier.

So... you have negative six, add  \(\frac{2}{3}\\\) to it.

You should get the number \(\frac{-16}{3}\)

Let me know if you need more help!

Answer:

y = (x + 4)^2 - 3

Use Foil to solve (x + 4):

(x + 4)(x + 4) =  x^2 + 8x + 16

Plug it back into original equation:

y = x^2 + 8x + 16 - 3

y = x^2 + 8x + 13 is the answer :)

The probability that a randomly selected point within the square falls in the red shaded square is 1/16

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.

Probability = sample space /total outcome

sample space is the area of the red shaded square and the total outcome is the big square.

Area of red shaded square = 1 × 1 = 1unit²

area of the big square = 4 × 4 = 16 units²

Therefore the probability that a point selected falls on the red shaded square

= 1/16

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Answer:

\(-32^\frac{3}{5} = -8\)

Step-by-step explanation:

Given

\(-32^\frac{3}{5}\)

Required

The equivalent expression

We have:

\(-32^\frac{3}{5}\)

Rewrite as:

\(-32^\frac{3}{5} = (-32)^\frac{3}{5}\)

Expand

\(-32^\frac{3}{5} = (-2^5)^\frac{3}{5}\)

Remove bracket

\(-32^\frac{3}{5} = -2^\frac{5*3}{5}\)

\(-32^\frac{3}{5} = -2^3\)

\(-32^\frac{3}{5} = -8\)

The equation of the perpendicular bisector of the line segment with endpoints (-7, 2) and (-1, -6) is y = (3/4)x + 1.

To find the equation of the perpendicular bisector of a line segment, we need to determine the midpoint of the line segment and the slope of the line segment. The perpendicular bisector will have a negative reciprocal slope compared to the line segment and will pass through the midpoint.

Given the endpoints (-7, 2) and (-1, -6), we can find the midpoint using the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Midpoint = ((-7 + (-1))/2, (2 + (-6))/2)

= (-8/2, -4/2)

= (-4, -2)

The midpoint of the line segment is (-4, -2).

Next, we need to find the slope of the line segment using the slope formula:

Slope = (y2 - y1)/(x2 - x1)

Slope = (-6 - 2)/(-1 - (-7))

= (-6 - 2)/(-1 + 7)

= (-8)/(6)

= -4/3

The slope of the line segment is -4/3.

Since the perpendicular bisector has a negative reciprocal slope, the slope of the perpendicular bisector will be 3/4.

Now, we can use the midpoint (-4, -2) and the slope 3/4 in the point-slope form of a line to find the equation of the perpendicular bisector:

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-4))

y + 2 = (3/4)(x + 4)

y + 2 = (3/4)x + 3

y = (3/4)x + 1.

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The indefinite integral of  ∫(2ti+j+8k)dt is  t²i +tj+8tk+c.

Given the expression is ∫(2ti+j+8k)dt

The indefinite integrals, also known as the derivatives of functions, are integrals that can be computed using the process of differentiation in reverse.

Further approaches for resolving indefinite integrals include integration by parts, substitution, integration of partial fractions, and integration of inverse trigonometric functions.

now, ∫(2ti+j+8k)dt

= 2t²/2 i + tj +8tk

= t²i +tj+8tk+c

hence we get the indefinite integral as  t²i +tj+8tk+c

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Answer:

1023/4

Step-by-step explanation:

shown in the picture

Answer: The penguin will walk 75.15 feet in 45 sec

Answer:653745

Step-by-step explanation:

Answer:450.61

Step-by-step explanation:

Answer:

Trapezoid, rectangle, rhombus

Step-by-step explanation:

hope this helps!

An example of "an enumeration of its range {aξ : ξ < α}" in this case would be the list of natural numbers {0, 1, 2, 3, ...}, which represents the ordinal numbers less than ω^2.

An example of "an enumeration of its range {aξ : ξ < α}" can be found in the context of ordinal numbers.

Let's consider the ordinal number α = ω^2, where ω represents the first infinite ordinal (the set of all natural numbers). In this case, the range {aξ : ξ < α} refers to the collection of all ordinal numbers that are less than α.

The ordinal numbers less than ω^2 can be enumerated as follows:

a0 = 0

a1 = 1

a2 = 2

...

an = n

...

Each natural number n corresponds to an ordinal number less than ω^2. The enumeration continues indefinitely, as there are infinitely many ordinal numbers less than ω^2.

So, an example of "an enumeration of its range {aξ : ξ < α}" in this case would be the list of natural numbers {0, 1, 2, 3, ...}, which represents the ordinal numbers less than ω^2.

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