Help me pleaseeeeeeeee

The image of the point (0,1) after a rotation of 270 degrees counterclockwise about the origin is the point (1,0).

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles.

A rotation of 270 degrees counterclockwise about the origin corresponds to a transformation in which every point in the plane is rotated 270 degrees counterclockwise about the origin.

To find the image of the point (0,1) under this transformation, we can use the following formula for a counterclockwise rotation of a point (x,y) about the origin by an angle of θ:

x' = x cos(θ) - y sin(θ)

y' = x sin(θ) + y cos(θ)

Plugging in the values x = 0, y = 1, and θ = 270 degrees, we get:

x' = 0 cos(270°) - 1 sin(270°) = 0 - (-1) = 1

y' = 0 sin(270°) + 1 cos(270°) = 0 + 0 = 0

Therefore, the image of the point (0,1) after a rotation of 270 degrees counterclockwise about the origin is the point (1,0).

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The value of x is 26°.

From the figure:

Let the angle beside 163° be y.

Let the angle beside 69° be z.

163° + y = 180°(since the angle on a line segment is 180°)

y = 180° - 163°

y = 17°

69° + z = 180°(since the angle on a line segment is 180°).

z = 180° - 69°

z = 111°

The sum of all angles inside a triangle is 180°.

2x° + y° + z° = 180°

2x° + 17° + 111° = 180°

2x° + 128° = 180°

2x° = 180° - 128°

2x° = 52°

divide by 2 on both sides

2x°/2 = 52°/2

x° = 26°

Therefore the value of x is 26°.

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Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

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a) Percentage of BB customers that have had a black and white tattoo done and are satisfied is 22.5%Explanation:Let's assume there are 100 BB customers. From the given information, we know that 30% have had black and white tattoos, which means there are 30 black and white tattoo customers. Out of the 30 black and white tattoo customers, 85% were satisfied, which means 25.5 of them were satisfied.

Therefore, the percentage of BB customers that have had a black and white tattoo done and are satisfied is 25.5/100 * 100% = 22.5%.

b) Probability that a randomly selected customer who is not satisfied has had a tattoo done in color is 0.8

Since the percentage of satisfied customers has been 75%, the percentage of unsatisfied customers would be 25%. Out of all the customers, 30% had black and white tattoos. So, the percentage of customers with color tattoos would be 70%.

Now, we need to find the probability that a randomly selected customer who is not satisfied has had a tattoo done in color. Let's assume there are 100 customers. Out of the 25 unsatisfied customers, 70% of them had color tattoos.

Therefore, the probability is 70/25 = 2.8 or 0.8 (to 1 decimal place).

c) Probability that a randomly selected customer is satisfied or has had a black and white tattoo or both have done a black and white tattoo and are satisfied is 82.5%.

To find this probability, we need to calculate the percentage of customers that have had a black and white tattoo and are satisfied and then add that to the percentage of satisfied customers that do not have a black and white tattoo. From the given information, we know that 22.5% of customers had a black and white tattoo and are satisfied. Therefore, the percentage of customers that are satisfied and do not have a black and white tattoo is 75% - 22.5% = 52.5%.

So, the total percentage of customers that are satisfied or have had a black and white tattoo or both have done a black and white tattoo and are satisfied is 22.5% + 52.5% = 82.5%.

d) "Satisfied" and "Selected black and white tattoo" are not independent events.

Two events A and B are said to be independent if the occurrence of one does not affect the occurrence of the other. In this case, the occurrence of one event does affect the occurrence of the other. From the given information, we know that 85% of customers with black and white tattoos were satisfied. This means that the probability of a customer being satisfied depends on whether they had a black-and-white tattoo or not. Therefore, "Satisfied" and "Selected black and white tattoo" are dependent events.

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Using the theories of Application of derivative,we got that  59.11221inches³/sec  is rate of volume changing when the radius is 2.3 inches.

We are given rate of change of radius (dr/dt)=0.6inches

We know very well that volume of sphere is given by (4/3)πr³

where r is the radius of the sphere.

Now, differentiating the volume with respect to radius, we get

=>dV/dr=4πr²

=>dV/dt=(dv/dr)·(dr/dt)

=>dV/dt=4πr².(dr/dt)

We are given that dr/dt=0.6inches/sec

So, dV/dt=4πr²·(0.6)

Now, putting values of r=2.3

 dV/dt=4π(2.3)²×(0.6)

=>dV/dt=4×3.14×2.3×2.3×0.6

=>dV/dt=59.11221inches³/sec

Hence, if we suppose suppose that the radius is expanding at a rate of 0.6 inches per second, the volume is changing at the rate of 59.11221inches³/sec when the radius is 2.3 inches.

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Given

The explanation of the question is given with all the steps.

Explanation

In the fourth step,

The equation is given

And inverse is used,

Answer

To find the value of theta, we have to take the inverse of the trigonometric function sin.

Otherwise , we cannot calculate the value of theta.

The blood pressure after 40 seconds is approximately 120. The maximum blood pressure is approximately 135, and the minimum blood pressure is approximately -85.

The equation P = 25 sin (2nt) + 110 represents the blood pressure, where P is the blood pressure and t is the time in seconds. To find the blood pressure after 40 seconds, we substitute t = 40 into the equation:

P = 25 sin (2n * 40) + 110

Since the sine function oscillates between -1 and 1, the maximum value for sin (2n * 40) is 1, and the minimum value is -1. Plugging these values into the equation, we have:

P = 25 * 1 + 110

P = 135

Therefore, the blood pressure after 40 seconds is 135.

The maximum and minimum blood pressures can be determined by analyzing the equation. The amplitude of the sine function determines the range of oscillation, which represents the difference between the maximum and minimum values of the blood pressure. In this case, the amplitude is 25.

The maximum blood pressure is found by adding the amplitude to the average blood pressure (110):

Maximum blood pressure = 110 + 25 = 135.

Similarly, the minimum blood pressure is found by subtracting the amplitude from the average blood pressure:

Minimum blood pressure = 110 - 25 = 85.

Therefore, the maximum blood pressure is 135, and the minimum blood pressure is 85.

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

its the fourth one g(x)=-⅔x+4

Step-by-step explanation:

the incline of the graph is down , and the point the graph meets y axis is +4

Answer:nits c

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Yes it is since there are no exponents involved.

Answer:

Yes, 5x - y + 4 =0 represent linear equation

To solve the improper integral, we can use integration by substitution. First, we will substitute

Given the improper integral `∫(1 - dx)/(1 + x^2)`

`x = tanθ` and then solve the integral.

When `x = tanθ`, we have `dx = sec^2θ dθ`.

Substituting the values, we get:

`∫(1 - dx)/(1 + x^2)` becomes `∫(1 - sec^2θ dθ)/(1 + tan^2θ)`

Let us simplify the equation.

We know that `1 + tan^2θ = sec^2θ`.

Thus, the integral `∫(1 - dx)/(1 + x^2)` becomes

`∫(1 - sec^2θ dθ)/sec^2θ`

We can write this as: `∫(cos^2θ - 1)dθ`

Now, we have to solve this integral.

We know that `∫cos^2θdθ = (1/2)θ + (1/4)sin2θ + C`.

Thus,

`∫(cos^2θ - 1)dθ = ∫cos^2θdθ - ∫dθ

= (1/2)θ + (1/4)sin2θ - θ

= (1/2)θ - (1/4)sin2θ + C`

Now, we need to substitute the values of `x`.

We have `x = tanθ`.

Thus, `tanθ = x`.

Using Pythagoras theorem, we can say that

`1 + tan^2θ = 1 + x^2 = sec^2θ`.

Thus, we can write `θ = tan^(-1)x`.

Now, we can substitute the values of `θ` in the equation we found earlier.

`∫(cos^2θ - 1)dθ = (1/2)θ - (1/4)sin2θ + C`

= `(1/2)tan^(-1)x - (1/4)sin2(tan^(-1)x) + C`

Hence, the solution to the given improper integral `∫(1 - dx)/(1 + x^2)` is `(1/2)tan^(-1)x - (1/4)sin2(tan^(-1)x) + C`.

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The improper integral ∫(1 - dx) / (1 + x²) evaluates to C, where C is the constant of integration.

An improper integral is a type of integral where one or both of the limits of integration are infinite or where the integrand becomes unbounded or undefined within the interval of integration. Improper integrals are used to evaluate the area under a curve or to calculate the value of certain mathematical functions that cannot be expressed as a standard definite integral.

To evaluate the improper integral ∫(1 - dx) / (1 + x²), we can follow these steps:

Step 1: Identify the type of improper integral:

The given integral has an unbounded interval of integration (-∞ to +∞), so it is a type of improper integral known as an improper integral of the second kind.

Step 2: Split the integral into two parts:

Since the interval of integration is unbounded, we can split the integral into two separate integrals as follows:

∫(1 - dx) / (1 + x²) = ∫(1 / (1 + x²)) dx - ∫(1 / (1 + x²)) dx

Step 3: Evaluate each integral:

We will evaluate each integral separately.

For the first integral:

∫(1 / (1 + x²)) dx

This is a familiar integral that can be evaluated using the arctan function:

∫(1 / (1 + x²)) dx = arctan(x) + C₁

For the second integral:

-∫(1 / (1 + x²)) dx

Since this integral has the same integrand as the first integral but with a negative sign, we can simply negate the result:

-∫(1 / (1 + x²)) dx = -arctan(x) + C₂

Step 4: Combine the results:

Putting the results of the individual integrals together, we have:

∫(1 - dx) / (1 + x²) = (arctan(x) - arctan(x)) + C

= 0 + C

= C

Therefore, the value of the improper integral is C, where C is the constant of integration.

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Answer:

0

Step-by-step explanation:

because the rule says have u understand

Answer:

A.  180°

Step-by-step explanation:

This is a simple subtraction problem.

212° - 32° =  180°

Answer

The answer is 12 for sure

Step-by-step explanation:

i just solved it like any other equation

1 i added 3/4 on both sides

2 then i added 5 on both sides

3 after you equation should look like 1 1/4x = 15

4 then i divided and it should be x = 12

pls mark brainliest

The value of x is "12".

\(\to \frac{1}{2}x-5=10-\frac{3}{4}x \\\\\to \frac{1}{2}x+ \frac{3}{4}x=10+5 \\\\\to \frac{2+3}{4}x=15 \\\\\to \frac{5}{4}x=15 \\\\\to x=15 \times \frac{4}{5}\\\\\to x=3 \times 4\\\\\to x=12\)

Therefore, the final value of x is "12".

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With the volume of water poured at rate 8 m³/minute, when the height of water is 5 meters, the water will be rising at rate 0.23 m/minute.

Let:

r = radius of water at an instant

h = level of water at an instant

Then,  due to similarity property:

r/h =  4/6 = 2/3

Or,

r = 2/3 . h

The volume of the poured water is:

V = 1/3. πr².h

Substitute r = 2/3 . h into the formula:

V = 1/3. π(2/3. h)².h

V = 4/27. πh³

Take the derivative with respect to t:

dV/dt = 4/27 . 3πh² . dh/dt

dV/dt = 4/9 . πh² . dh/dt

Substitute: dV/dt = 8 m³/minute and h = 5 m:

8 = 4/9 .  π .5² . dh/dt

dh/dt = 0.23 m/minute.

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Answer:

r=9⅓

Step-by-step explanation:

(10,r). (4,-3)

(x¹,y¹) (x²,y²)

gradient=y²-y¹

x²-x¹

4= -3-r

3 4-10

multiply both sides by 3(4-10)to remove the denominators.

3(4-10)× 4 = -3-r ×3(4-10)

3 4-10

(4-10)×4= (3-r)×3

16-40=9-3r

put the liketerms together

note* signs(- +) change when they cross the equal sign(=)

3r=4+40-16

3r=28

divide both sides by 3

r=28/3.

r=9⅓

Answer:

right angle

Step-by-step explanation:

Answer:

its 34

Step-by-step explanation:

Did it yesterday and got it right.

If \(251_x\equiv100_{10}\), then this translates to the equation

\(251_x = 2x^2 + 5x + 1 = 100\)

Solve for \(x\).

\(2x^2 + 5x = 99\)

\(2\left(x^2 + \dfrac52 x\right) = 99\)

\(2 \left(x^2 + \dfrac52 x + \dfrac{25}{16}\right) - \dfrac{25}8 = 99\)

\(2 \left(x + \dfrac54\right)^2 = \dfrac{817}8\)

\(\left(x + \dfrac54\right)^2 = \dfrac{817}{16}\)

\(x + \dfrac54 = \pm \dfrac{\sqrt{817}}4\)

\(x = \dfrac{-5\pm\sqrt{817}}4\)

though it is a bit unusual (but not entirely out of the question) to have an irrational base number system.

In case you meant \(100_2\) on the right side, then \(100_2 = 2^2 = 4_{10}\), so that

\(2x^2 + 5x + 1 = 4 \\\\ 2x^2 + 5x - 3 = 0 \\\\ (x+3) (2x-1) = 0 \\\\ x=-3 \text{ or } x = \dfrac12\)

which at first glance seem like more reasonable choices of base.

To write an equivalent series with the index of summation beginning at n = 1, you'll need to shift the index of the original series. The original series is:

Σ (−1)^n * 1/(n+1) * x^n, with n starting from 0.

To shift the index to start from n = 1, let m = n - 1. Then, n = m + 1. Substitute this into the series:

Σ (−1)^(m+1) * 1/((m+1)+1) * x^(m+1), with m starting from 0.

Now, replace m with n:

Σ (−1)^(n+1) * 1/(n+2) * x^(n+1), with n starting from 0.

This is the equivalent series with the index of summation beginning at n = 1.

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Answer:

the sequence is the a geometric sequence because the terms has a common ratio. the common ratio = -80 / 200 = -2 / 5common ratio = 32 / -80 = -2 /5

so the next to term can be solve multiplying the last term with the common ratio

x = -12.8 ( -2 / 5)x = 5.12

y = 5.12 ( - 2 / 5)y = -2.048

Step-by-step explanation: HOPE THIS HELPS!!

The populations of the listed countries are

India is 1.366 billion

China is 1.397 billion

Argentina is 45 million

the United States is 332 million

and Egypt is 102 million people.

Let's start with India. According to the World Bank, India's population is approximately 1.366 billion people, which is the second-largest population in the world after China. India's land area is approximately 1.269 million square miles.

Moving on to China, it has the largest population in the world, with approximately 1.397 billion people. China's land area is approximately 3.705 million square miles, making it the fourth-largest country in terms of land area.

Argentina, on the other hand, has a population of approximately 45 million people, with a land area of approximately 1.073 million square miles. This makes it the eighth-largest country in the world in terms of land area.

The United States has a population of approximately 332 million people, and its land area is approximately 3.796 million square miles. It is the third-largest country in terms of land area and the fourth-largest in terms of population.

Lastly, Egypt has a population of approximately 102 million people, with a land area of approximately 386 thousand square miles. It is the 30th largest country in terms of land area and the 14th most populous country in the world.

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The independent set in a graph is a set of vertices that contain no edges. So, no neighboring vertices are included. The max independent set problem is to get an independent set of maximum size in graph G.

The solution for this question is discussed below:

a) The integer linear program for the max independent set problem is as follows:

maximize ∑x_i Subject to: x_i+x_j ≤ 1 {i,j} ∈ E;x_i ∈ {0, 1} ∀i. The variable x_i can represent whether the ith vertex is in the independent set. It can take on two values, either 0 or 1.

b) The LP relaxation for the max independent set problem is as follows:

Maximize ∑x_iSubject to:

xi+xj ≤ 1 ∀ {i, j} ∈ E;xi ≥ 0 ∀i. The variable xi can take on fractional values in the LP relaxation.

c) The family of graphs is as follows:

Consider a family of graphs G = (V, E) defined as follows. The vertex set V has n = 2^k vertices, where k is a positive integer. The set of edges E is defined as {uv:u, v ∈ {0, 1}^k and u≠v and u, v differ in precisely one coordinate}. It can be shown that the size of the max independent set is n/2. Using LP, the value can be determined. LP provides a value of approximately n/4. Therefore, the ratio LP-OPT/OPT is at least c/4. Therefore, the ratio is in for a constant c>0.

d) The size of a max-independent set is equivalent to the number of vertices minus the minimum vertex cover size.

e) The 2-approximation algorithm for vertex cover implies a 2-approximation algorithm for the max independent set.

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Answer:

The distance on the y-axis (not sure if thats how you say it :| ) is 8, and the distance between the x-axis (again not sure thats the correct term) is 6

im not a genius, but I hope this helps :D

(there is a gragh with the points)

Answer:

98

Step-by-step explanation:

3 bed house= 33 rooms

4 bed house 40 rooms

4 bed house 25 rooms

each house is worth 2 houses. so u double everything

hope I got it right

Given:

1st graph suits the equation.

Above graph is the final answer.

The joint probability mass function of (x, y) is given by P(Xi, Yj) = (1/i) * (1/5) for 1 ≤ j ≤ i ≤ 5 and 0 otherwise. x and y are not independent because their joint PMF does not factorize into the product of their individual PMFs.

(a) The joint probability mass function (PMF) of the pair (x, y) can be calculated by considering the probabilities of each possible outcome.

Let's denote the event "x = i" as Xi and the event "y = j" as Yj. We can calculate the joint PMF P(Xi, Yj) by considering the conditions for each pair (i, j).

P(Xi, Yj) = P(Yj | Xi) * P(Xi)

Since x is uniformly selected from the set {1, 2, 3, 4, 5}, the probability P(Xi) for each value of i is 1/5.

Now let's consider the conditional probability P(Yj | Xi). For a given value of x = i, the possible values of y are {1, 2, ..., i}, each with equal probability of 1/i. Therefore, P(Yj | Xi) = 1/i for j ≤ i and 0 for j > i.

Putting it all together, the joint PMF for (x, y) is:

P(Xi, Yj) = (1/i) * (1/5)   for 1 ≤ j ≤ i ≤ 5

P(Xi, Yj) = 0               otherwise

(b) x and y are not independent. To determine independence, we need to check if the joint PMF factorizes into the product of the individual PMFs for x and y.

In this case, the joint PMF does not factorize because P(Xi, Yj) ≠ P(Xi) * P(Yj) for all values of (i, j). Therefore, x and y are not independent.

The value of y depends on the value of x since the range of y is determined by x. If we know the value of x, it restricts the possibilities for y. Thus, the outcome of y is not independent of the outcome of x.

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Answer:

B

Step-by-step explanation:

The picture is kinda blurry for me, and I can't see the exact numbers, but with what I could see, I believe it's B

To find the percentage change, we have to divide