a rotation R takes A(1,-3) to (3,5) And B(0,0) to (4,-6). find the centre of rotation
Please hurry my grades depend on it ​

Answer: You can put any number in a/b because 100 is at least greater!

Step-by-step explanation:

Hope this helps, if not... good luck!

Answer:

Step-by-step explanation:

I believe it is

Adding -4x - 3 to both sides

Simplifying

Answer is - 3

Answer:

x + 3

Step-by-step explanation:

5x + 3 - 4x

(5x - 4x) + 3

x + 3

Best of Luck!

f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).

A) \(log(n^200) log(n^2)\)

Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100

This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.

B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sqrt(n) / log(n)]

As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

C) 3^n 5^n

Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([3^n / 5^n]\)

As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

D) sin(n) + 3 cos(n) + 1

Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]

As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.

Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.

To know more about log refer here:

https://brainly.com/question/32621120

#SPJ11

Answer:

For the first question the answer is 50(0.2 + 1)^2 = 72

For the second question it is y = 32

Step-by-step explanation:

In case you need to see how i got it...it's below

For number 1, y is proportional to (x + 1)^2

The equation would be y(x +1)^2 = k(the constant). Then I substituted numbers you gave me in the equation which was : 50(0.2 + 1)^2 = k(72)

For number 2 I used this equation: y (x + 1)^2 = nm .jlh biygbi72. I substituted x for 0.5. The equation will be: y(0.5 + 1)^2 = 72. Then I got 32 for y.

Hope this helps:)kisman

aks,a'

s'dstgdbjkjsf

Step-by-step explanation:

The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

To know more about function, visit

brainly.com/question/5245372

#SPJ1

This is the same as saying "96 + x less than or equal to 149"

====================================================

Explanation:

We start with 96 people already on board. We add on x more people. The x is a placeholder for a positive whole number.

In total, we have 96+x people on the plane. This total must not exceed the max capacity of 149. In other words, the largest value of 96+x is 149.

Since 96+x can be 149 or smaller, we can say 96+x ≤ 149

Answer:

The answer is A

Step-by-step explanation:

I got it right on edge

Answer:

2 1/2

Step-by-step explanation:

take 25 and divide it by 10 giving you 5/2 but that equals 2.5 and 2.5 equals 2 1/2

Answer:

D. Kelly and Avery walk the same distance.

Step-by-step explanation:

Kelly walked from the 1st floor to the 5th floor. That means she walked 4 floors.
Avery walked from the 8th floor to the 4th floor.
8 - 4 = 4.
They walked the same distance, except Avery went down, and Kelly went up, which is unrelated.

Considering the images (a),(b),(c),(d),(e),(f) the oriented path is

(a) Negative

(b) Positive

(c) Positive

(d) Zero

(e) Zero

(f) Zero

calculating each quadrant's line integral and symmetry.

In calculus, a line integral is an integral where the function being evaluated is along a curve. A line integral is also known as a route integral, curve integral, or curvilinear integral.

What does a Line integral mean?

To learn more about Line integral, visit:

https://brainly.com/question/28081626

#SPJ4

Answer:$96.98

Step-by-step explanation: all you just do is to add it all up to the total amount.

Answer: $105.47

I hope you get the job!!!!!

Answer:

Step-by-step explanation:

To find the frequency for which the particular solution to the differential equation has the largest amplitude, we first need to know the differential equation we are working with. However, since you didn't provide the specific differential equation, let's work with a general example: a forced harmonic oscillator. The equation for a forced harmonic oscillator can be written as:

m * d²x/dt² + c * dx/dt + k * x = F0 * cos(ωt)

where:

m is the mass of the oscillator

x is the displacement of the oscillator

c is the damping coefficient

k is the spring constant

F0 is the amplitude of the external force

ω is the angular frequency of the external force

For this type of equation, we can find the particular solution in the form:

x_p(t) = X * cos(ωt - δ)

where:

X is the amplitude of the particular solution

δ is the phase angle

We can rewrite the differential equation in the frequency domain by substituting x(t) = X * cos(ωt - δ) and its derivatives into the original equation, then applying the trigonometric identities. After simplifying, we can find the expression for X, the amplitude of the particular solution:

X = F0 / sqrt((k - mω²)² + (cω)²)

To find the frequency for which the particular solution has the largest amplitude, we need to maximize X with respect to ω. To do this, we can find the critical points by differentiating X with respect to ω and setting the result to zero:

dX/dω = 0

To simplify the problem, we can define the damping ratio ζ = c / (2 * sqrt(m * k)) and the undamped natural frequency ω_n = sqrt(k / m). The expression for X becomes:

X = F0 / sqrt((ω_n² - ω²)² + (2 * ζ * ω_n * ω)²)

Now, we differentiate X with respect to ω and set it to zero. Solving for ω, we get:

ω = ω_n * sqrt(1 - 2ζ²)

This is the frequency for which the particular solution to the differential equation has the largest amplitude, assuming a positive frequency and that the damping ratio ζ is less than 1 / sqrt(2). Otherwise, the system will be overdamped, and there will be no resonant frequency.

the frequency for which the particular solution to the differential equation has the largest amplitude is:

ω = √(γ/2 - β^2)

To find the frequency for which the particular solution to the differential equation has the largest amplitude, we can assume that the particular solution is of the form:

y(t) = A*cos(ωt + φ)

where A is the amplitude, ω is the frequency, and φ is the phase angle.

Substituting this form of y(t) into the differential equation gives:

-ω^2Acos(ωt + φ) - 2βωAsin(ωt + φ) + γA*cos(ωt + φ) = f(t)

Simplifying this equation gives:

(A/|D|)[γcos(ωt + φ) - ω^2cos(ωt + φ) - 2βω*sin(ωt + φ)] = f(t)

where |D| is the modulus of the denominator of A*cos(ωt + φ) and is given by:

|D| = √[ (γ - ω^2)^2 + (2βω)^2 ]

To find the frequency for which the amplitude of the particular solution is largest, we need to minimize the modulus of the denominator |D| over all frequencies ω. We can do this by finding the critical points of |D| with respect to ω and then checking which of these critical points correspond to a minimum.

Differentiating |D| with respect to ω gives:

d|D|/dω = [2ω(γ - ω^2) - 4β^2ω]/|D|

Setting this equal to zero and solving for ω gives:

ω = ±√(γ/2 - β^2)

We can see that there are two critical points for |D|, one positive and one negative. To check which of these corresponds to a minimum, we can use the second derivative test:

d^2|D|/dω^2 = (2γ - 6ω^2)/|D|^3

Substituting ω = ±√(γ/2 - β^2) into this expression gives:

d^2|D|/dω^2 = ±4√2β^3/γ^(3/2)

Since β and γ are both positive, the second derivative is negative for both critical points, which means that they both correspond to maxima of |D|. The positive critical point corresponds to the frequency for which the amplitude of the particular solution is largest.

for more questions on frequency

https://brainly.com/question/17803539

#SPJ11

The partial derivatives of g(x,y) with respect to u and v are,

a) ∂g/∂u = -2(u-v)sin((u-v)^2+(-4u-4v)^2) - 4sin((u-v)^2+(-4u-4v)^2)

b) ∂g/∂v = -2(u-v)sin((u-v)^2+(-4u-4v)^2) - 4sin((u-v)^2+(-4u-4v)^2)

We can use the chain rule to compute the partial derivatives of g(x, y) with respect to u and v

∂g/∂u = ∂g/∂x × ∂x/∂u + ∂g/∂y × ∂y/∂u

∂g/∂v = ∂g/∂x × ∂x/∂v + ∂g/∂y × ∂y/∂v

First, we need to express g(x,y) in terms of u and v by substituting the expressions for x and y in terms of u and v

g(x,y) = cos(x^2+y^2) = cos((u-v)^2+(-4u-4v)^2)

To calculate the partial derivatives of g(x,y) with respect to u and v, we need to calculate the partial derivatives of x and y with respect to u and v

∂x/∂u = 1

∂x/∂v = -1

∂y/∂u = -4

∂y/∂v = -4

Now, we can substitute these partial derivatives and the expression for g(x,y) in terms of u and v into the chain rule formulas

∂g/∂u = ∂g/∂x × ∂x/∂u + ∂g/∂y × ∂y/∂u

= -sin((u-v)^2+(-4u-4v)^2) × 2(u-v) + sin((u-v)^2+(-4u-4v)^2) × (-4)

= -2(u-v)sin((u-v)^2+(-4u-4v)^2) - 4sin((u-v)^2+(-4u-4v)^2)

∂g/∂v = ∂g/∂x × ∂x/∂v + ∂g/∂y × ∂y/∂v

= -sin((u-v)^2+(-4u-4v)^2) × 2(u-v) + sin((u-v)^2+(-4u-4v)^2) × (-4)

= -2(u-v)sin((u-v)^2+(-4u-4v)^2) - 4sin((u-v)^2+(-4u-4v)^2)

Learn more about chain rule here

brainly.com/question/17216083

#SPJ4

The parameters needed to calculate a confidence interval at the 99% confidence level are the sample mean ($\overline{x}$), the population standard deviation ($\sigma$), the sample size ($n$), and the confidence level ($1-\alpha$).

In this case, we are given that $\sigma = 8$ minutes, $n=25$, and $1-\alpha = 0.99$. We also know that the sample mean is $\overline{x} = 58$ minutes.

To find the confidence interval, we first need to find the critical value for a 99% confidence level. Using a t-distribution with $n-1=24$ degrees of freedom, we can find this value using a t-table or a calculator. For a 99% confidence level, the critical value is approximately 2.797.

Next, we can use the formula for a confidence interval for a population mean:

$\overline{x} \pm t_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

Plugging in our values, we get:

$58 \pm 2.797\cdot \frac{8}{\sqrt{25}}$

Simplifying this expression, we get:

$58 \pm 5.58$

So the confidence interval is:

$(52.42, 63.58)$

Rounded to two decimal places, the confidence interval is:

$(52.42, 63.58)$
To calculate the 99% confidence interval for the time it takes to edit a successful resume, we'll need the following parameters:

1. Sample mean (x) = 58 minutes
2. Population standard deviation (σ) = 8 minutes
3. Sample size (n) = 25 resume editors
4. Confidence level (CL) = 99%

Now, we need to find the critical value (z*) for a 99% confidence level. Using a standard normal (z) table or calculator, we find that z* ≈ 2.576.

Next, we'll use the formula for the confidence interval:

CI =x ± z*(σ/√n)

CI = 58 ± 2.576*(8/√25)

CI = 58 ± 4.12

So, the 99% confidence interval is (53.88, 62.12). This means we can be 99% confident that the true population mean for the time it takes to edit a successful resume lies between 53.88 and 62.12 minutes.

Visit here to learn more about confidence interval brainly.com/question/24131141

#SPJ11

As per the regression equation, the value of intercept coefficient is 1.5707

Regression is a statistical technique used to determine the relationship between an independent variable and a dependent variable.

In this case, the regression statistics provided in table 6 show the results of estimating the model

=> Δln (Sales t) = b0 + b1Δln (Sales t −1) + εt,

where Δln (Sales t) is the change in the natural log of sales for Cisco Systems quarterly observations from 3Q:1991 to 4Q:2000.

The R-squared value of 0.0661 indicates that only about 6.61% of the variation in the change in the log of sales can be explained by the change in the log of sales from the previous quarter.

The standard error of 0.4698 indicates the average deviation between the actual and predicted change in the log of sales.

If the results show that the specification is correct, then the long-run change in the log of sales toward which the series will tend to converge can be determined by the intercept coefficient, which in this case is 1.5707.

To know more about regression here.

https://brainly.com/question/14184702

#SPJ4

Answer:

168.5 m/s^2

Step-by-step explanation:

Answer: The best i could come up with was the BLUE figure

Step-by-step explanation:

Sorry if it is wrong

Answer:

C.g(2) = 21+3

Step-by-step explanation:

Explain e everything

The inequality that represents the cost c per 14 squares for a new carpet with a budget of $700 is: c ≤ 700/14 = 50 Therefore, the answer is:

The inequality is c ≤ 50.

Assuming that the price of the carpet is constant per square foot, we can write the following inequality to represent the cost c per 14 squares:

c/14 ≤ 700

This inequality states that the cost per 14 square feet (c/14) cannot exceed $700, which is the total amount of money available to purchase the carpet.

To write an inequality representing the cost of a new carpet per 14 square feet, we need to first define the cost per square foot. Let's say the cost per square foot is $x. Then, the cost of the carpet for 14 square feet would be 14x.

Since we have a budget of $700, we can write the inequality:

14x ≤ 700

This inequality represents that the cost of the carpet for 14 square feet should be less than or equal to $700. We can solve for x by dividing both sides by 14:

x ≤ 50

This means that the cost per square foot of the carpet should be less than or equal to $50 for it to fit within the budget of $700.

To learn more about inequality Click here:

brainly.com/question/30231190

#SPJ4

There are 40 such bit strings.

To count the number of bit strings of length seven that either begin with two 0s or end with three 1s, we need to use the principle of inclusion-exclusion.

Let A be the set of bit strings that begin with two 0s, and let B be the set of bit strings that end with three 1s.

Then, we want to find the size of the set A ∪ B, which consists of bit strings that satisfy either condition.

The size of A can be calculated as follows:

since the first two digits must be 0, the remaining five digits can be any combination of 0s and 1s,

so there are \(2^5 = 32\) possible strings that begin with two 0s.

Similarly, the size of B can be calculated as follows:

since the last three digits must be 1, the first four digits can be any combination of 0s and 1s,

so there are\(2^4 = 16\) possible strings that end with three 1s.

However, we have counted the strings that both begin with two 0s and end with three 1s twice.

To correct for this, we need to subtract the number of strings that belong to both A and B from the total count.

The strings that belong to both A and B must begin with two 0s and end with three 1s, so they have the form 00111xxx,

where the x's can be any combination of 0s and 1s.

There are \(2^3 = 8\) such strings.

Therefore, the total number of bit strings of length seven that either begin with two 0s or end with three 1s is:

|A ∪ B| = |A| + |B| - |A ∩ B| = 32 + 16 - 8 = 40.

For similar question on combination.

https://brainly.com/question/11732255

#SPJ11

Responder:

3 m

Explicación paso a paso:

Dado que:

Longitud, L = 25 m

Ancho, W = 8 m

Volumen = capacidad = 600.000 litros

1m³ = 1000 litros

x = 600.000 litros

600.000 litros / 1000 = 600 m³

Volumen = Largo * ancho * alto

600 = 25 * 8 * h

600 = 200 horas

h = 600/200

h = 3 m

First you will get 4dz

The dimensions of the rectangle are width = 6 cm and length = 18 cm.

Let's begin by putting variables on the rectangle's measurements.

Let's call the width "w" and the length "l".

From the problem statement, we know that:

l = 4w - 6 (since the length is 6 centimeters less than 4 times the width)

We also understand that the following formula determines a rectangle's perimeter:

perimeter = 2(length + width)

So, for this rectangle, we have:

perimeter = 2(l + w)

perimeter = 2((4w - 6) + w)

perimeter = 2(5w - 6)

perimeter = 10w - 12

We are given that the perimeter is 48 centimeters, so we can set up an equation and solve for "w":

10w - 12 = 48

10w = 60

w = 6

Now that we know the width is 6 centimeters, we can use the equation we derived earlier to find the length:

l = 4w - 6

l = 4(6) - 6

l = 18

for such more question on dimensions

https://brainly.com/question/13847072

#SPJ11

The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.

We have,

Increasing the minimum wage to $8.00 per hour can have some impact on the demand for clothes.

Here are a few potential effects to consider:

Increased purchasing power:

When the minimum wage is increased, low-wage workers have more disposable income. This extra income can lead to increased consumer spending, including on clothing.

As a result, there could be a boost in the demand for clothes as more people can afford to purchase new clothing items.

A shift in consumer preferences:

With a higher minimum wage, individuals who previously had limited resources may now have the ability to choose higher-quality clothing or purchase from more expensive brands.

This shift in consumer preferences could lead to changes in the demand for different types of clothes and potentially result in an increase in demand for higher-end or premium clothing.

Price sensitivity:

While an increase in the minimum wage may provide workers with more spending power, some individuals may still be price-sensitive and prefer more affordable clothing options.

As a result, there may be continued demand for lower-priced clothing items or a preference for sales and discounts.

Employment and production costs:

An increase in the minimum wage could potentially lead to higher labor costs for clothing manufacturers and retailers.

To mitigate these increased costs, businesses may take steps such as adjusting their pricing strategies, implementing cost-saving measures, or exploring more efficient production methods.

These factors could impact the overall supply of clothes and potentially influence prices.

Thus,

The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.

Learn more about demand and wages here:

https://brainly.com/question/29801103

#SPJ12

Hey there! I'm happy to help!

First, we want to see how many Japanese yen there are for 1 U.S. dollar.

This slash (/) means per or for. We see that in the column (USD/1 Unit) the Japanese yen cell has 0.01007. This means that that is how many US dollars there are for each Japanese yen.

However, we want to find how many Japanese yen there are per U.S. dollar. Well, this is the same as writing Yen/1 USD, and in that column we have 99.30487, which means that for every 1 U.S. dollar we have, we have 99.30487 Japanese yen. This means that for $100, we would have 9930.487 Japanese yen.

This / can also represent a dividing sign or a fraction.

What we did is simply take our Units/1 USD and we multiplied the result by $100 (99.30487/1=99.30487, 99.30487×100=9930.487). This matches with the answer 100 USD(99.30487 yen. 1 USD)

Currency exchange is pretty tricky, but if you keep on practicing you'll get very good at it!

Have a wonderful day! :D

The expression that would be most useful in converting $100 to Japanese Yen is 100 ( 99.30487 Yen / 1)

You can use direct proportion to solve this:

If $1 is to Y99.30487 then what will $100 be equal to:

1         :          99.30487 Yen

100    :                x

Cross multiply to get:

1x = 99.30487 Yen x 100

x = (99.30487 Yen x 100) / 1

Which can be written as:

= 100 ( 99.30487 Yen / 1)

In conclusion, the most useful expression to convert $100 to Yen is 100 (99.30487 Yen / 1)

Find out more at https://brainly.com/question/10472985.

Answer:

The vertex is at (5, -9)

Step-by-step explanation:

The vertex is halfway between the zeros

f(x) = (x-8)(x - 2)

0  = (x-8)(x - 2)

x=8 and x=2 are the two zeros

(8+2)/2 = 10/2 = 5

The x coordinate is at 5

The y coordinate is found by substituting the x coordinate into the function

f(5) = (5-8)(5 - 2) = -3 (3) = -9

The vertex is at (5, -9)

Answer:

3.81

Step-by-step explanation:

The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

Learn more about multiplication here:

https://brainly.com/question/30340107

#SPJ1

The indefinite integral of ∫1/15y dy is ∫(1/15)y⁻¹ dy.

Here, y is a variable. Integrating with respect to y, we get:

∫1/15y dy = (1/15) ∫y⁻¹ dy

We know that, ∫xⁿ dx = (xⁿ⁺¹)/(n⁺¹) + C,

where n ≠ -1So, using this formula, we have:

∫(1/15)y⁻¹ dy = (1/15) [y⁰/⁰ + C] = (1/15) ln|y| + C, where C is a constant of integration.

To sum up, the indefinite integral of ∫1/15y dy is (1/15) ln|y| + C,

where C is a constant of integration.

To know more About  indefinite integral ,visit:

https://brainly.com/question/31617899

#SPJ11

2 ( 3y + 10)

Use 2 to multiply both 3y and 10

Therefore, you have

2 x 3y + 2 x 10

6y + 20