Determine the relative phase relationship of the following two waves:
v1(t) = 10 cos (377t – 30o) V
v2(t) = 10 cos (377t + 90o) V
and,
i(t) = 5 sin (377t – 20o) A
v(t) = 10 cos (377t + 30o) V
Q2 Determine the phase angles by which v1(t) leads i1(t) and v1(t) leads i2(t) , where
v1(t) = 4 sin (377t + 25o) V
i1(t) = 0.05 cos (377t – 20o) A
i2(t) = -0.1 sin (377t + 45o) A

Answer:

.

Step-by-step explanation:

Step 4: AW = WP

Step 5: triangle AWB = triangle PWR by AAS

Step 6: RW = BW by corresponding sides of congruent triangles are congruent

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). We can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

The UC Berkeley Institute of Governmental Studies conducted a poll in 2019 with 4,527 respondents in California, where 51.7% of them reported considering moving out of the state. The objective is to calculate a 95% confidence interval for the proportion of all Californians who considered moving out of state, given the sample size and proportion.

B. The formula to calculate the confidence interval for a proportion is:

CI = p^ ± z* √[(p^(1-p^))/n]

Where p^ is the sample proportion, n is the sample size, and z* is the critical value of the standard normal distribution for the desired confidence level. For a 95% confidence level, z* = 1.96.

Substituting the given values into the formula, we get:

CI = 0.517 ± 1.96 * √[(0.517*(1-0.517))/4527]

CI = 0.517 ± 0.013

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). Therefore, we can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

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Answer:

144 seconds

Step-by-step explanation:

4.5 seconds = 5 pages

x second = 160 pages

cross multiply

you get: 5x= 160 ×4.5

which equals 720 divide it by 5 you get 144

The probability of obtaining a sum less than or equal to 4 is:  1/12

An experiment consists of tossing two ordinary dice and adding their numbers together. To determine the probability of obtaining a sum of 8, we need to first count the number of ways we can get a sum of 8. We can do this by listing all the possible combinations of dice rolls that add up to 8:

2+6, 3+5, 4+4, 5+3, 6+2

So there are 5 ways to get a sum of 8.

Next, we need to determine the total number of possible outcomes for this experiment. Each die has 6 sides, so there are 6 x 6 = 36 possible outcomes.

Therefore, the probability of obtaining a sum of 8 is:

Number of ways to get a sum of 8 / Total number of possible outcomes = 5/36

Now let's determine the probability of obtaining a sum less than or equal to 4. We can use the same method as before:

1+1, 1+2, 2+1

So there are 3 ways to get a sum less than or equal to 4.

The probability of obtaining a sum less than or equal to 4 is:

Number of ways to get a sum less than or equal to 4 / Total number of possible outcomes = 3/36 = 1/12

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Answer:

x = 11√3

y = 11

Step-by-step explanation:

Let 60 be the reference angle

sin 60 = p/h

√3/2 = x/22

or, 22√3 = 2x

or, x = (22√3)/2

so, x = 11√3

now

\(h^2 = p^2 + b^2\\or, 22^2 = (11\sqrt{3} )^2+y^2\\or, 484 = 363 + y^2\\or, 484-363 = y^2\\or, 121 = y^2\\or, \sqrt{121} = y\\so, y = 11\)

The multiplication can be completed as follows: \((1 - ^2) (1 + ^2)\)= \(-2^2\), we can replace ² with 2 and simplify the expression. Thus, the answer is -4.

Given the multiplication \((1 - ^2) (1 + ^2)\), we can use the formula \(a^2 - b^2\) =\((a + b) (a - b)\), where a = 1 and b = ², to rewrite the expression as follows:

\((1 - ^2) (1 + ^2)\)

= \((1 - ^2^2)\)

= \((1 - 4)\)

=\(-3\)

However, the answer should be in the form of -2 raised to a power. Therefore, we can write -3 as -2 + 1, since -3 = -2 + 1 - 2.

Then, using the laws of exponents, we can write -2 + 1 as

\(-2^2/2^2 + 2/2^2\)

\((-2^2 + 2)/2^2\)

\(-2/4\)

\(-1/2\)

Finally, we can write -1/2 as -2/4, which is -2 raised to the power of -2. Thus, the multiplication can be completed as follows:

= \((1 - ^2) (1 + ^2)\)

=\((1 - ^2^2)\)

= \((1 - 4)\)

= \(-3\)

= \(-2^2+ 1\)

= \(-2^-^2\)

= \(-4\)

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The least common multiple of the given expressions, 4x²y³ and 6x³y², is 12x³y³

From the question, we are to determine the least common multiple of the given expressions

The given expressions are

4x²y³ and 6x³y²

First, we will determine the LCM of the digits

That is,

The LCM of 4 and 6

The LCM of 4 and 6 is 12

Now, we will determine the LCM of x²y³ and x³y²

The LCM of x²y³ and x³y² is x³y³

Hence, the LCM of the two expressions is 12 × x³y³ = 12x³y³

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Answer:

3

Step-by-step explanation:

AB and BC are parallel to each other.

The measure of the third interior angle of the triangle is given as follows:

B. 60º.

To obtain the missing angle measure, we must consider that the sum of the internal angle measures of a triangle is of 180º.

The internal angle measures of the triangle in this problem are given as follows:

Hence the measure of the third interior angle is given as follows:

x + 40 + 80 = 180

x = 60º.

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A particular solution of the given differential equation y'' + 3y' + 4y = 8x + 2 can be found using the method of undetermined coefficients. The correct answer is: a. y_p = 2x + 1

The correct answer is b. y_p = 8x + 2. To find a particular solution of the differential equation, we can use the method of undetermined coefficients. Since the right-hand side of the equation is a polynomial of degree 1 (8x + 2), we assume that the particular solution has the same form, i.e. y_p = Ax + B. We then substitute this into the differential equation and solve for the constants A and B. Plugging in y_p = Ax + B, we get:

y" + 3y' +4y = 8x + 2
2A + 3(Ax + B) + 4(Ax + B) = 8x + 2
(2A + 3B) + (7A + 4B)x = 8x + 2

Since the left-hand side and right-hand side must be equal for all values of x, we can equate the coefficients of x and the constant terms separately:

7A + 4B = 8  (coefficient of x)
2A + 3B = 2  (constant term)

Solving these equations simultaneously, we get A = 8 and B = 2/3. Therefore, the particular solution is y_p = 8x + 2.

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Answer:

84

Step-by-step explanation:

Since Robin doesn't work at McDonald's, then we would focus on the 1000$ and the 12$/hour, divide 1000 by 12 = 83 \(\frac{1}{3}\) then, complete it by adding \(\frac{2}{3}\) to it (because its BY HOUR) and the answer is 84.

To find the percent of 12th graders who preferred chicken wings, we need to find the proportion of 12th graders who chose chicken wings and then express that as a percentage.

First, let's find the total number of 12th graders:

12th graders = 24 + 27 + 39 = 90

Next, let's find the proportion of 12th graders who chose chicken wings:

proportion = number of 12th graders who chose chicken wings / total number of 12th graders = 24 / 90 = 0.2667

Finally, let's express this proportion as a percentage:

percentage = proportion * 100 = 0.2667 * 100 = 26.67%

So, the bar for 12th graders in the segmented bar chart would show 26.67% for preferring chicken wings.

Therefore, the correct answer is 27%.

Answer:

10.8%

Step-by-step explanation:

I took the STAT test

Answer:

x-4

Step-by-step explanation:

Answer:

x-4

Step-by-step explanation:

The volume of the display case is 2161 1/8 cubic inches.To find the volume of a rectangular prism-shaped display case, we multiply its length, width, and height.

Given that the display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall, we can calculate the volume as follows:

Volume = Length * Width * Height

Using the given measurements:

Volume = 10 1/2 inches * 30 1/2 inches * 32 1/4 inches

To simplify the calculation, we can convert the mixed numbers to improper fractions:

Volume = (21/2) inches * (61/2) inches * (129/4) inches

Next, we multiply the fractions:

Volume = (21/2) * (61/2) * (129/4) = 17289/8

The resulting fraction, 17289/8, is an improper fraction. To convert it back to mixed number form:

Volume = 2161 1/8 in³.

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Step-by-step explanation:

3m+8=14

3m+8-8=14-8

subtract the numbers

subtract the numbers

3m=6

3m 6

___=___

3 3

cancle terms that are in both the numerator and denominator

divide the numbers

m=2

solution:

m=2

Answer:

\(3m + 8 = 14 \\ 3m = 14 - 8 = 6 \\ m = \frac{6}{3} = 2 \\ thank \: you\)

Answer:

Negative

Step-by-step explanation:

Answer:

A positive x a negative will always be negative.

Step-by-step explanation:

No matter what if you have a negative value getting multiplied by a positive value then your product will be negative. (Unless your negative is multiplied by another negative, in which that would be positive.)

A) The indefinite integral of x*sin²(x) dx is (1/2)x² - (1/4)x*sin(2x) + C, where C is the constant of integration.

b- The indefinite integral of x²/(1-x) dx is -x² - x*log|1-x| + C, where C is the constant of integration.

To find the indefinite integral of x*sin²(x) dx, we can use integration by parts. Let's denote u = x and dv = sin²(x) dx. Taking the derivative of u and integrating dv, we have du = dx and v = ∫sin²(x) dx.

Using the double-angle identity sin²(x) = (1 - cos(2x))/2, we can simplify v to v = ∫(1 - cos(2x))/2 dx.

Applying integration by parts, we have:

∫x*sin²(x) dx = uv - ∫v*du

= x*(1/2)x - (1/2)∫x*cos(2x) dx - (1/4)∫sin(2x) dx.

Evaluating the integrals, we get:

∫x*sin²(x) dx = (1/2)x² - (1/4)x*sin(2x) - (1/8)cos(2x) + C,

where C is the constant of integration.

b)To find the indefinite integral of x²/(1-x) dx, we can use partial fraction decomposition.

Rewriting the integrand as -x²/(x-1), we can decompose the fraction as -A - B/(x-1), where A and B are constants.

To find A and B, we multiply through by (x-1) and equate coefficients, resulting in A = 0 and B = -1.

Now we can rewrite the integral as -∫1/(x-1) dx. Integrating this, we get -log|1-x| + C, where C is the constant of integration.

Thus, the indefinite integral of x²/(1-x) dx is -x² - x*log|1-x| + C.

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the complete question is:

a) Find the indefinite integral of ∫(xsin²x)dx.

b) Find the indefinite integral of ∫((x²)/(1-x))dx.

Answer:

10*2=20

-6*2=-12

20-12=8

Answer:

oh i hade this i got wrong but the answer is 79

Step-by-step explanation:

Answer: its the 4th question

Step-by-step explanation: Its 64 squared because 8x8 is 64 its a perfect square

Answer:

see explanation

Step-by-step explanation:

a shift of 3 squares right means add 3 to the x- coordinate

a shift of 1 square down means subtract 1 from the y- coordinate

translation rule is (x, y ) → (x + 3, y - 1 ) , then

(1, 1 ) → (1 + 3, 1 - 1 ) → (4, 0 )

(1, 4 ) → (1 + 3, 4 - 1 ) → (4, 3 )

(3, 1 ) → (3 + 3, 1 - 1 ) → (6, 0 )

There are approximately 9 million more inhabitants in Lima than in Buenos Aires. Lima has a population of around 12 million, while Buenos Aires has a population of around 3 million.

Lima and Buenos Aires are two of the largest cities in South America. Lima is the capital of Peru and Buenos Aires is the capital of Argentina. According to recent estimates, Lima has a population of around 12 million people, making it one of the largest cities in South America.

Buenos Aires, on the other hand, has a population of around 3 million people. Therefore, there are approximately 9 million more inhabitants in Lima than in Buenos Aires.

The population density of Lima is much higher than that of Buenos Aires, which is one of the reasons why Lima is known for its traffic congestion and urban sprawl. Despite these challenges, both cities have unique cultural and historical attractions that make them popular tourist destinations.

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Answer:

Slavery caused the Civil War because colored people were being treated unfairly by the South and the North didn't like that. States rights is when a state abides by its own rules. Missouri was allowed to enter the Union as a slave state. California had to decide if they were going to be a slave state or a free state.

Step-by-step explanation:

Slavery was the root of the Civil War in the United States. Following the election of Republican and abolitionist Abraham Lincoln in 1861, southern governments grew fearful of his political beliefs. His victory sparked heated debate in the slave-dependent southern states. Because of the incoming president's future activities, states were planning to secede. These republics were heavily reliant on agriculture, therefore ending slavery would be disastrous. After Lincoln rejected their judgment, the Union and Confederacy declared war on one other. The Confederacy battled and killed to keep slavery alive, but the union won four years later. Abraham Lincoln fought for black people's freedom and human rights while simultaneously fighting to keep the Unified States united. This battle not only ended slavery, but it also brought the states together and preserved a strong country developing together.In the 1860 presidential election, Abraham Lincoln campaigned for president and won, becoming the first republican candidate to do so. His election, on the other hand, brought terrible news to the southern states, which were heavily reliant on agricultural and used slavery to increase revenues. "By and large," according to the book America Past and Present, "By and large, by and large, by and large, by and The civil war began in April 1861, when Southern states attempted to secede from the nation after Abraham Lincoln's election, and concluded in 1865, when the northerners (the Union) triumphed.  However, the most crucial reason for the outbreak of the war was that Republican Abraham Lincoln won the election of 1860, and his views on slavery were diametrically opposed to those of the southerners. His election sparked such outrage in the southern states that the possibility of going to war to avoid being linked with his political ideals was floated.

Answer:

3/2

Step-by-step explanation:

Image a bit blurry, but I'm counting whoever wrote this was sane enough to pick integer values.

\(f(2) = 1; f(4)=4\)

Average rate of change is the difference in f divided by the difference in x:

\(\frac{\Delta f(x)}{\Delta x} = \frac{4-1}{4-2} = \frac32\)

Answer:

Plzzzz answer fast......

Answer:

The answer is 1/12.

Step-by-step explanation:

Think about it this way, 1/3÷8= 1/24.

Double that is 1/12.

The value of xy is -54

To simplify the expression √63 − 36√3, we need to simplify each term separately and then subtract the results.

1. Simplify √63:
We can factorize 63 as 9 * 7. Taking the square root of each factor, we get √63 = √(9 * 7) = √9 * √7 = 3√7.

2. Simplify 36√3:
We can rewrite 36 as 6 * 6. Taking the square root of 6, we get √6. Therefore, 36√3 = 6√6 * √3 = 6√(6 * 3) = 6√18.

3. Subtract the simplified terms:
Now, we can substitute the simplified forms back into the original expression:
√63 − 36√3 = 3√7 − 6√18.

Since the terms involve different square roots (√7 and √18), we can't combine them directly. But we can simplify further by factoring the square root of 18.

4. Simplify √18:
We can factorize 18 as 9 * 2. Taking the square root of each factor, we get √18 = √(9 * 2) = √9 * √2 = 3√2.

Substituting this back into the expression, we have:
3√7 − 6√18 = 3√7 − 6 * 3√2 = 3√7 − 18√2.

5. Now, we can express the expression as x y√3:
Comparing the simplified expression with x y√3, we can see that x = 3, y = -18.

Therefore, the value of xy is 3 * -18 = -54.

So, the correct answer is not provided in the given options.

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Answer:

x = 4

Step-by-step explanation:

Substitute 2 in for y and then solve for x by isolating x:

x + y = 6

x + 2 = 6

Subtract 2 from each side

x = 4

The correct option is (b) a strict partial order.

In the context of a tree (T) with nodes and a descendant relation, the correct option is (b) a strict partial order.

Your answer: The descendant relation on the nodes of a fixed tree (T) is a strict partial order. This is because the relation satisfies the following properties:
1. Irreflexivity: A node cannot be a descendant of itself.
2. Transitivity: If node A is a descendant of node B, and node B is a descendant of node C, then node A is also a descendant of node C.
3. Asymmetry: If node A is a descendant of node B, then node B cannot be a descendant of node A.

These properties define a strict partial order.

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