Determine whether the following is analytic in the domain of defini- tion. What is its derivative in terms of z? 10r^2 – sin(2ᶿ)/r^2 where r > 0 and -π < ᶿ < .π

Answer:

(12ab)^1/2

Step-by-step explanation:

(⁶√12ab)³

= [(12ab)^1/6]³

= (12ab)^(1/6 * 3)

= (12ab)^1/2.

James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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Answer:

f(-10) = 4

Step-by-step explanation:

|x+6|

|(-10)+6|

|-4|

4

|| takes the absolute value of a number, meaning it turns negative numbers into positive numbers and keeps everything else the same.

Answer: The correct answer is -4 I took the test

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

7 - 1

6

\( \frac{1}{2} - \frac{3}{4} \)

you get negative 0.25

not supposed to subtract because a half is not a whole and three quarter is more than a half

\(1 - \frac{3}{4} \)

this is correct (in my opinon)

0.25 as a fraction is

\( \frac{1}{4} \)

The correct answer option D. \(5\frac{3}{4}\) feet. We can subtract the two whole numbers to give us 6 feet. When we subtract the fractions from each other that gives us 4. When we take 4 from 6 we get the amount of ribbon left.

Difference between two values.

First, subtract the whole numbers 7-1-6 feet.

Now subctract the factors 1/2-3/4 = -1/4

Then the total length is the piece of ribbon that is 6- 1/4 =\(5\frac{3}{4}\)

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The measure <h = 45 degree, <g= 135 degree, <h = 55 degree and

<k = 125 degree.

When two lines converge, vertical angles are created. Because the angles are opposite one another, vertical angles are also known as vertically opposite angles. They are constantly on par.

Given:

As, from the Figure

<h + 135 = 180 (Linear Pair)

<h = 180 - 135

<h = 45

and, <g = 135 (Vertical Opposite Angle)

Now, <m + 125 = 180 (Linear Pair)

<m = 180 - 125

<h = 55

and, <k = 125 (Vertical Opposite Angle)

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9514 1404 393

Answer:

  E)  5.7

Step-by-step explanation:

The applicable geometric mean rule tells you ...

  SQ² = SR·ST

  ST = SQ²/SR = 27²/30 = 24.3

Then the measure of RT is ...

  RT = SR -ST = 30 -24.3

  RT = 5.7

Answer:

the vaule of x is 160 add the rest to it later then you get answer A

Step-by-step explanation:

Answer:

Its B 70

Step-by-step explanation:

Edge 2022

The 95% confidence interval for the percentage of all eligible voters who intend to support Trump is (0.251, 0.349). If the true fraction does fall inside this range, we may say with 95% confidence.

We can use the following calculation to calculate a confidence interval for the percentage of all registered voters who intend to support Trump:

CI = p ± z\(\sqrt((p(1-p))/n)\)

where:

p is the proportion of the sample that will support Trump in the vote.

The critical value for the desired confidence level is z (95% confidence corresponds to a z-value of 1.96).

n is the sample size

When we enter the values from the issue, we get:

p = 120/400 = 0.3

z = 1.96

n = 400

CI = 0.3 ± 1.96sqrt((0.3(1-0.3))/400)

CI = 0.3 ± 0.049

CI = (0.251, 0.349)

Therefore, The 95% confidence interval for the percentage of all eligible voters who intend to support Trump is (0.251, 0.349). If the true fraction does fall inside this range, we may say with 95% confidence.

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The unlevered beta for Lincoln is closest to 0.95.

The unlevered beta represents the risk or sensitivity of a company's stock returns to market movements, assuming the company has no debt (or financial leverage). The beta value is typically provided by financial sources or can be calculated using regression analysis. Since no additional information is given about Lincoln or its industry, we cannot determine the exact unlevered beta. However, among the given answer options, 0.95 is the value that is closest to 1.0, which is often considered the average or baseline beta. A beta value greater than 1.0 indicates higher sensitivity to market movements, while a value less than 1.0 suggests lower sensitivity.

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Answer:

The answer is option C

Step-by-step explanation:

The roots of the quadratic equations are x= 6 or x= -4

X-6=0 or x+ 4=0

⇒(x-6)(x+4)

F(x)=(x-6)(x+4)

Answer:

y=-9/8x+7

Step-by-step explanation:

When finding slope from the graph, the coordinate that has a zero where x is supposed to be is the y-intercept. To put it into slope-intercept form it is important to remember y=mx+b. B is the y-intercept so you'll take the y value and put it where b is. So in this case you'll have y=mx+7. To find the slope you have to find the distance between the two coordinates. So you'll see how many times you go up from -2 to 7, 9 times. Then you calculate how many times you go over from 8 to 0, 8 times. The 8 and the 9 are the two values of slope. When forming the slope you put the rise over the run. Or in other words, you put how many times you go up/down over how many times you go left/right. To determine if the slope is negative or positive you look at the line and if the values are getting smaller or the line is going from left to right, then it is negative. If the values are getting bigger or the line is going from right to left, then it is positive. In this case the values are getting smaller and the line is going from left to right which means this slope is negative. So you add a negative to 9/8 and replace m with what you just got (the slope). Your answer should look like this, y=-9/8x+7.

The area of the region enclosed by the inner loop of the curve can be calculated by integrating the function r = 6 + 12 sin θ over the interval of θ.

The area of the inner loop is given by Area = 1/2 ∫r^2 dθ = 1/2 ∫(6 + 12 sin θ)^2 dθ

We can solve this integral by breaking it into two parts: Area = 1/2 (∫(6 + 12 sin θ)^2 dθ) = 1/2(∫36 + 72sin θ + 144sin^2 θ dθ)

The first integral is simple and equals to 36*θ and the second one is equal to 48θ - 48cos(2θ)

The limits of integration are [0, 2π]

So the area of the inner loop is 1/2(36*2π + 48(2π) - 48(2)) = 72π

So the area of the region enclosed by the inner loop of the curve is 72π square units.

The system of equations that can be used to represent the cost of each type of ticket is  2a + 3c = 30.75   and 3a + 2c = 33   .

In the question ,

it is given that ,

a theater sells adult and child tickets for its play .

the cost for 2 adult ticket and 3 child ticket is = $30.75

and the cost for 3 adult tickets and 2 child tickets = $33.00

let the cost of 1 adult ticket = "a"   and

let the cost of 1 child ticket = "c"

So, According to the question ,

the equation to represent both the situation is

2a + 3c = 30.75   and

3a + 2c = 33

Therefore , The system of equations that can be used to represent the cost of each type of ticket is  2a + 3c = 30.75   and 3a + 2c = 33   .

The given question is incomplete , the complete question is

A theater sells adult and child tickets to its plays. 2 adult tickets and 3 child tickets cost $30.75. 3 adult tickets and 2 child tickets cost $33.00. let "a' represent the cost of 1 adult ticket, and "c" represent the cost of 1 child ticket . Write a system of equations can be used to determine the cost of each type of ticket ?

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The probability that a randomly selected attendee has been to England, if it is known that they have been to Germany is 3/20.

Event e : the attendee has been to Germany

Event g : the attendee has been to both, England as well as Germany

Let the total number of attendees in a conference is = x

Hence, % of attendees been to Germany = 75% = 0.75x

And, % of attendees been to both England as well as Germany = 15% = 0.15x

The probability of selecting a random attendee who has been to England and Germany is:

P = 0.15x/x = 0.15/1 = 15/100 = 3/20

Hence, the probability that a randomly selected attendee is 3/20.

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Answer: The answer is 72

Step-by-step explanation:

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Divide the distance traveled by the wheel to guess the value or estimate the value of π.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.

Given

Height of the wheel = 198

Perimeter of the wheel = 63

Height of the wheel is the diameter of the circle

Perimeter of the circle is  π × diameter of the circle

P = \(\pi\) × d

198 = \(\pi\) × 63

\(\pi\) = \(\frac{198}{63}\)

\(\pi\) = 3.14

Hence, Divide the distance traveled by the wheel to guess the value or estimate the value of π.

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The comparison between A and B is as follows:A < B.

We are given that:120 % of A is equal to 150 => (120/100)A = 150

Divide both sides by 120/100: A = 150 × 100/120 = 125

And, 105 % of B is equal to 165 => (105/100)B = 165

Divide both sides by 105/100: B = 165 × 100/105 = 157.14

Therefore, A = 125 and B = 157.14

Compare A and B:It can be seen that B is greater than A. Therefore, B > A. Hence, the comparison between A and B is as follows:A < B.

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Answer:

26 miles

Step-by-step explanation:

20*1.3

Adam currently runs 26 miles per week

Answer: If you are solving for m it would be -37 or 37 with the added negative

Step-by-step explanation:

34 = -(m + 3)

34 = -m - 3

+ 3 = -m + 3

37 = -m

Answer:

Sample Response: The negative sign outside the parentheses represents –1. Distribute the –1 to everything inside the parenthesis. Use the addition property of equality first to add 3 to both sides. Then use the division property of equality to divide both sides by -1.

Step-by-step explanation:

ON EDGE

The statement "The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed, given that the null hypothesis is true." is true.

The p-value is a measure of the evidence in favor of the null hypothesis in statistical hypothesis testing. The null hypothesis is rejected if the p-value is less than the specified significance level. If the p-value is higher than the specified significance level, the null hypothesis is not rejected.

The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed, given that the null hypothesis is true.

The p-value can be used to make decisions about whether to reject or fail to reject the null hypothesis, but it cannot prove that the null hypothesis is true.

The p-value can also be used to determine the level of significance for a test.

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32. Solving integral equation using the convolution theoremThe convolution theorem states that the convolution of two signals in the time domain is equivalent to multiplication in the frequency domain.

Therefore, to solve the given integral equation using the convolution theorem, we need to take the Fourier transform of both sides of the equation.

y(t) = ∫_{-∞}^{∞} sinh(−)g() + ∫_{-∞}^{∞} sinh(−−)g()Taking the Fourier transform of both sides, we haveY() = 2π[G()sinh() + G()sinh(−)]where Y() and G() are the Fourier transforms of y(t) and g(t), respectively.Rearranging for y(t), we gety(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]e^(j) d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)](cos()+j sin())d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d+ j(1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()dTherefore, the solution to the integral equation is given by:y(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d + (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()d

It is always important to understand the principles that govern an integral equation before attempting to solve them. In this case, we used the convolution theorem to solve the equation by taking the Fourier transform of both sides of the equation and rearranging for the unknown signal. The steps outlined above provide a comprehensive solution to the equation.  33. Fourier series representation of f(x)

The Fourier series representation of a periodic signal is an expansion of the signal into an infinite sum of sines and cosines. To find the Fourier series representation of the given signal, we need to first compute the Fourier coefficients, which are given by:an = (1/T) ∫_{-T/2}^{T/2} f(x)cos(nx/T) dxbn = (1/T) ∫_{-T/2}^{T/2} f(x)sin(nx/T) dxFurthermore, the Fourier series representation is given by:f(x) = a_0/2 + Σ_{n=1}^{∞} a_n cos(nx/T) + b_n sin(nx/T)where a_0, a_n, and b_n are the DC and Fourier coefficients, respectively. In this case, the signal is given as:f(x) = -1, -π

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Answer: There are no solutions.

Step-by-step explanation: Hope this help :D

Answer:

The answer is a "Weather occurs because the climate is costantly changing"

Answer:

A (climate is the trend in weather over a long period of time)

Step-by-step explanation:

The equation of the given hyperbola is given by:(x + 3)²/25 - (y - 1)²/119/25 = 1

The given hyperbola has vertices (-3, -4) and (-3, 6) and foci (-3, -7) and (-3, 9).The standard form of a hyperbola with a vertical transverse axis:

y-k=a/b(x-h)^2 - a/b=1(a > b), Where (h, k) is the center of the hyperbola. The distance between the center and the vertices is a, while the distance between the center and the foci is c.

From the provided information,

we know that the center is at (-3, 1).a = distance between center and vertices

= (6 - (-4))/2

= 5c

distance between center and foci = (9 - (-7))/2

= 8

The value of b can be found using the formula:

b² = c² - a²

b² = 8² - 5²

b = ±√119

We can now substitute the known values to obtain the equation of the hyperbola:

y - 1 = 5/√119(x + 3)² - 5/√119

The equation of the given hyperbola is given by: (x + 3)²/25 - (y - 1)²/119/25 = 1.

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Explanation:

The general cosine template is

y = A*cos(B(t - C)) + D

where in this case

We only really need to worry about the B value. To get the period T, we do the following

T = 2pi/B

T = (2pi)/(pi/4)

T = 2pi * (4/pi)

T = 8

Note how the pi terms canceled. The period is 8 seconds, which is the length of one full cycle. This is the time it takes for the pendulum to do one full swing (eg: start at the right, swing to the left all the way, then swing back to the right again).

The result of 8 we got has nothing to do with the D = 8 value (this D value could be any other number and T = 8 would still be the case as long as B doesn't change of course).

Portus has four 1-cent stamps, three 5-cent stamps, and three 25-cent stamps. 79 different postage amount of at least one cent can postbus make.

We can get the sums of 1 cent, 2 cents, 3 cents and 4 cents by combining one 1-cent coin, two 1-cent coins, three 1-cent coins and four 1-cent coins, respectively. i.e., 4 different sums.

We can get three sums of 5 cents, 10 cents, and 15 cents by combining mean five-cent coins., i.e. 3 different sums.

 we can get three sums of 25 cents, 50 cents, and 75 cents by combining means twenty-five-cent coins. i.e,3 different sums.

Now,

4*3 = 12 different sums by combining 4 one-cent coins with 3 five-cent coins.

Again,  

Now,

add all these combinations:

    4 + 3 + 3 + 12 + 12 + 9 + 36 = 79.

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Answer:

divide

Step-by-step explanation:

egjk5rydurbock d copy dyfjdigi