Use Green's Theorem to evaluate the line integral along the given positively oriented curve.
∫
C
x
y
2
d
x
+
5
x
2
y
d
y
;
C is the triangle with vertices (
0
,
0
)
,
(
3
,
3
)
,
(
3
,
6
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.

\(\bf Step-by-step~explanation:\)

If Ava has 34 candy bars, and each box can hold 5 bars, then we need to find out how many boxes that are filled up.

\(\bf Step~1:\)

Divide the number of candy bars (34), by the number each box can hold (5)

\(\bf\frac{34}{5}=6.8\)

Since we cannot have 6.8 boxes, we have to round down to 6.

\(\boxed{\bf Our~final~answer:~6~boxes}\)

\(\bf Check~our~answer:\)

To check our answer, we multiply the number of boxes (6), by the number of bars in each box (5), to get 30. We add Ava's extra bars (4), and we get the number we started off with: 34. This proves our answer is correct!

The nominal rate, periodic rate (round to 8 decimal places), and APY are 6.67047%, 0.53552453%, and 6.69589054%,

Given that the rate of 6.5% is compounded monthly. We need to determine (a) nominal rate, (b) periodic rate (round to 8 decimal places), and (c) APY.(a) Nominal rateNominal rate is the annual rate which is not compounded at any frequency. It is the rate which is stated on the contract or any other agreement. To determine the nominal rate, we use the following formula;Nominal rate = (1 + periodic rate/m)^m - 1

Where m is the number of times the rate is compounded in a year.Periodic rate = r = 6.5%/12 = 0.0054166667Nominal rate = (1 + 0.0054166667/12)^12 - 1Nominal rate = (1.0054166667)^12 - 1Nominal rate = 0.0667047365 or 6.67047%(b) Periodic ratePeriodic rate is the rate which is applied per period. It is also called as the effective rate per period.To determine the periodic rate, we use the following formula;Periodic rate = (1 + nominal rate)^(1/m) - 1Periodic rate = (1 + 0.0667047365)^(1/12) - 1Periodic rate = 0.0053552453 or 0.53552453%(c) APYAPY (Annual Percentage Yield) is the effective annual rate of return. It is also called as effective annual rate.

To determine the APY, we use the following formula;APY = (1 + periodic rate)^n - 1APY = (1 + 0.0053552453)^12 - 1APY = 0.0669589054 or 6.69589054%

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Answer:

x = 3

Step-by-step explanation:

2(x+4) + 2 = 5x + 1

2x + 8 + 2 = 5x + 1

2x + 10 = 5x + 1

-3x + 10 = 1

-3x = -9

x = 3

To solve for x, we need to simplify the equation and isolate the variable. Let's proceed with the given equation:

2(x + 4) + 2 = 5x + 1

First, distribute the 2 to the terms inside the parentheses:

2x + 8 + 2 = 5x + 1

Combine like terms on the left side:

2x + 10 = 5x + 1

Next, let's move all terms containing x to one side of the equation and the constant terms to the other side. We can do this by subtracting 2x from both sides:

2x - 2x + 10 = 5x - 2x + 1

Simplifying further:

10 = 3x + 1

To isolate the x term, subtract 1 from both sides:

10 - 1 = 3x + 1 - 1

9 = 3x

Finally, divide both sides of the equation by 3 to solve for x:

9/3 = 3x/3

3 = ×

Therefore, the solution to the equation is x = 3.

Answer:

A= 90 , b= 12 , c=60,

Step-by-step explanation:

cuz im smart like that

Answer:

ang. PQR

Step-by-step explanation:

The diameter which subtends an angle to the circumference of the circle is equal to 90 degrees. Hence, either ang. PQR and ang. PSR are both right angles.

The equation of the transformed function, after being compressed horizontally by a factor of 3 and translated up 2 units, is g(x) = sqrt(x/3) + 2.

If f(x) is a function, and we want to compress it horizontally by a factor of 3 and translate it up 2 units, we can apply the following transformations:

Horizontal compression by a factor of 3 means that we need to replace x with x/3 in the function.

Translation up 2 units means that we need to add 2 to the function.

The equation of the transformed function is g(x) = sqrt(x/3) + 2, which represents a function that has been compressed horizontally by a factor of 3 and translated up 2 units from the original function f(x) = sqrt(x).

Therefore, the equation of the transformed function is:

g(x) = sqrt(x/3) + 2

Note that g(x) represents the transformed function, and we have used the square root symbol to indicate that the function is the square root of x/3.

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Using a standard normal distribution table or calculator, the probability (percent) of a z-score less than 1.415 is approximately 92.18%.

a) To find the percent of SAT verbal scores less than 700, we need to calculate the z-score: (700 - 516) / 130 ≈ 1.415.

Using a standard normal distribution table or calculator, the probability (percent) of a z-score less than 1.415 is approximately 92.18%.

b) To determine the number of scores greater than 575, we first find the z-score: (575 - 516) / 130 ≈ 0.453.

Using a standard normal distribution table or calculator, the probability of a z-score greater than 0.453 is approximately 1 - 0.675 = 0.325.

With 1000 randomly selected scores, about 325 (0.325 * 1000) would be expected to be greater than 575.

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Yes, a normal approximation can be used for a sampling distribution of sample means from a population with μ = 56 and σ = 10 when n = 9. Since the sample size is less than 30 and the population distribution is normal,

we can use the central limit theorem, which allows us to assume that the distribution of sample means is approximately normal.In order to use the normal approximation, we need to verify whether the sample size is large enough for a normal distribution to be a good approximation. According to the central limit theorem, if the sample size is less than 30, the normal approximation is valid if the population distribution is approximately normal. Since the population distribution is normal,

we can use the normal approximation for a sample size of n=9. Thus, the correct answer is: Yes, because the sample size is less than 30.

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Answer: C     .750

Step-by-step explanation:

the possibilites to not get yellow is 6

total outcomes 8

P(not yellow)=6/8 =.750

The average speed if the airplane when it travels 3850 km in 5.5 hours is 700 km per hours.

To calculate the average speed of the airplane, we can use the formula:

Average Speed = Distance Traveled / Time Taken

In this case, the distance traveled by the airplane is 3850 km, and the time taken is 5.5 hours. Let's substitute these values into the formula

Average Speed = 3850 km / 5.5 hours

Calculating the average speed

Average Speed = 700 km/h

Therefore, the average speed of the airplane from New York to Los Angeles is 700 km per hours.

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Answer:

Can you please tell me where is the question

Step-by-step explanation:

BRAINLIEST ME PLEASE :)

Answer:

The flight took 34 minutes to arrive Bakersfield wich is 85 miles far from Santa Barbara, at a speed of 150 \ mi/hr150 mi/hr

The coordinates of the image of point E after a translation 2 units down are (-4, -1).

The coordinates of the image of point F after a translation 2 units down are (-3, -4).

The coordinates of the image of point G after a translation 2 units down are (2, -1).

To translate coordinates in a two-dimensional plane, you need to know the translation vector. A translation vector is a pair of numbers (a, b) that indicates the amount of movement in the x-direction and y-direction.

To translate a point (x, y) by the translation vector (a, b), you can use the following formulas:

x' = x + a

y' = y + b

Where x' and y' are the new coordinates of the point after the translation.

A translation is a transformation that moves a figure a certain distance in a certain direction without rotating or reflecting it. In this case, we are asked to translate the triangle EFG 2 units down. This means that we need to move the triangle down 2 units on the y-axis.

To translate a point (x, y) down 2 units, we can add -2 to the y-coordinate. The new coordinates of the point will be (x, y - 2).

The coordinates of E are (-4, 1), so the coordinates of E' after the translation are (-4, 1-2) = (-4,-1)

The coordinates of F are (-3,-2), so the coordinates of F' after the translation are (-3,-2-2) = (-3,-4)

The coordinates of G are (2, 1), so the coordinates of G' after the translation are (2,1-2) = (2,-1)

So the new coordinates for the triangle EFG' after the translation are:

E'(-4,-1)

F'(-3,-4)

G'(2,-1)

It's important to notice that the x-coordinates didn't change because we are only translating the triangle down, on the y-axis.

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The SI units for the quantities you mentioned are:

1. Length: The SI unit for length is the meter (m).

2. Mass: The SI unit for mass is the kilogram (kg).

3. Time: The SI unit for time is the second (s).

4. Electric current: The SI unit for electric current is the ampere (A).

5. Amount of substance: The SI unit for the amount of substance is the mole (mol).

6. Temperature: The SI unit for temperature is the kelvin (K).

7. Luminous intensity: The SI unit for luminous intensity is the candela (cd). An angstrom (symbol: Å) is a unit of length equal to 10^(-10) meters or 0.1 nanometers. It is often used to express the sizes of atoms and molecules.

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Answer: 5859375

Step-by-step explanation:

3, 15, 75...

75/15=5

15/3=5

Every term multiplied by 5 is the next term. Hence, the equation for this sequence can be expressed as:

y=3*\(5^{x-1}\)    ==> y is the term when x is the term number and 3 is the first number in the sequence

Now let's solve for the 10th term:

y=3*\(5^{10-1}\)

y=3*\(5^{9}\)

y=3*1953125

y=5859375

The equation of the vertical asymptote of the function \(g(x)=4log_{2} (x-2)+5\) is x=2.

Vertical asymptotes are vertical lines that represent the zeros of a rational function's denominator. Asymptotes can also occur in other situations, such as logarithms. It occurs at the x-value that is outside the domain of the function, therefore the graph can never cross it.

There may be a vertical asymptote along the vertical line if a portion of the graph is about to turn vertical. At the point of x along which you discovered the vertical asymptote, the function's value changes to either ∞ or -∞. A vertical asymptote, however, must never touch the graph.

Graph the function \(g(x)=4log_{2} (x-2)+5\)

(x,y)= (3,5), (4,9), (6,13)

From graph we can see that the graph is turning to be vertical from x=2. So, the equation of vertical asymptote of the function is x=2.

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The complete question is:

“What is the equation of the vertical asymptote of \(g(x)=4log_{2} (x-2)+5\)? enter your answer in the box.”

Answer:

im pretty sure its $11.92

Step-by-step explanation:

Answer:

area is 9

see picture for points

Step-by-step explanation:

base is 6

height is 3

6 * 3 /2 = 9

Answer:

DC and AB

Step-by-step explanation:

I just did it

Answer:

dc and ab

Step-by-step explanation:

Answer:

10.9%

Step-by-step explanation:

You want to do the number of ways that can happen, which is \(_8C_2 = 28\) divided by the total number of possibilities which is \(2^8\) to get 10.9%

Answer:

45

Step-by-step explanation:

The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.

Answer:

45

Step-by-step explanation:

The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.

Answer:

Okay! I'll go help! (◠‿◕)

A

1) Let's solve this system graphically, by plotting each line.

I) y + 2x = -1 Let's rewrite it as the slope-intercept form

y = -2x -1

Writing a t -table for that:

x | y=-2x-1

0 | -1

1 | -3

2 | -5

II) 3y -x = 4 Let's rewrite it as the slope-intercept form

3y = 4 +x Divide both sides by 3

y = 4/3 + x/3

Writing a table for that:

x | y = 4/3 +x3

0 | 1.33

1 | 1.66

2 | 2

2) As we have three coordinate points for each equation, we can locate them in the Coordinate Plane:

Notice that, the common point to those lines (the red one: 3y-x =4) and (blue: y+2x=-1)

3) Hence, the answer is A

Answer:

4

Step-by-step explanation:

Take any point other than (0,0) that is on the line and put it in the form 7/x and that will give you your constant of proportionality.

For example the point graphed is (1,4)  1 is the x value and 4 is the y value.

4/1 = 4

Answer: 4

Step-by-step explanation:

The constant of proportionality is the slope of a line that goes through the origin.

The slope/constant of proportionality is how much the Y increases every time the X increases by 1. Since your graph has the point (1, 4) labeled, the Y goes up 4 units for every 1 unit the X increases by.

Using the fundamental theorem of arithmetic, we have proven that (a, 6) [a, b] = ab for positive integers a and b.

To prove that (a, 6) [a, b] = ab for positive integers a and b using the fundamental theorem of arithmetic, we'll proceed as follows:

Step 1: Prime factorization of a and 6:

Using the fundamental theorem of arithmetic, we can write a and 6 as products of their prime factors:

a = p1^k1 * p2^k2 * ... * pn^kn,

6 = 2^1 * 3^1.

Step 2: Finding the greatest common divisor (a, 6):

To find the greatest common divisor (a, 6), we consider the common prime factors between a and 6 and take the minimum exponent for each prime factor. In this case, the common prime factor is 2 with an exponent of 1. Therefore, (a, 6) = 2^1.

Step 3: Prime factorization of [a, b]:

Using the fundamental theorem of arithmetic, we can write [a, b] as a product of its prime factors:

[a, b] = p1^m1 * p2^m2 * ... * pn^mn.

Step 4: Finding the least common multiple [a, b]:

To find the least common multiple [a, b], we consider the prime factors between a and b and take the maximum exponent for each prime factor. In this case, we have already determined that the common prime factor is 2 with an exponent of 1. Therefore, [a, b] = 2^1.

Step 5: (a, 6) [a, b] = ab:

Substituting the values we found, we have:

(a, 6) [a, b] = 2^1 * 2^1 = 2^2 = 4.

Since ab = 4, we have proven that (a, 6) [a, b] = ab for positive integers a and b using the fundamental theorem of arithmetic.

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Answer: 3,52 x 10²

Step-by-step explanation:

Answer:

3.5 x \(10^{2}\)

Step-by-step explanation:

Multiply the numeric values times each other and add the exponents:

(3.2 x 1.1) x (\(10^{-7}\) x \(10^{9}\))

3.52 x \(10^{2}\)

To one significant figure: 3.5 x \(10^{2}\)

A linear graph with a negative slope indicates that as the independent variable decreases, the dependent variable increases.The line with a negative slope is sloping down to the right.

This relationship is represented by a line sloping down to the right. A line with a negative slope indicates that there is a negative correlation between the two variables. This means that as one variable decreases, the other variable increases.

This is because the line is going down from left to right, which means that the y-value is increasing as the x-value decreases. This relationship is known as a negative correlation.It is also known as an inverse relationship. In an inverse relationship, the two variables move in opposite directions. As one variable decreases, the other variable increases.

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Answer:

16 : 3

Step-by-step explanation:

(a+3b)/5=(a-b)/2 or 2 (a+3b) = 5 (a-2b) or 2a + 6b = 5a-10b or 3a. or a/b = 16/3 so a.b = 16:3

The number in the numeric form will be 4,508,739.486.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Four times one million, plus five times one hundred thousand, plus eight times one thousand, plus seven times one hundred, plus three times ten, plus nine times one, plus four times one-tenth, plus eight times one-hundredth, plus six times one-thousandth in the numerical form, we have

⇒ 4 x 10⁶ + 5 x 10⁵ + 8 x 10³ + 7 x 10² + 3 x 10 + 9 x 1 + 4 x 10⁻¹ + 8 x 10⁻² + 6 x 10⁻³

Simplify the expression, then we have

⇒ 4,000,000 + 500,000 + 8,000 + 700 + 30 + 9 + 0.4 + 0.08 + 0.006

⇒ 4,508,739.486

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Step 1: Simplify both sides of the equation.

Step 2: Subtract 1/3x from both sides.

Step 3: Add 7 to both sides.

Step 4: Multiply both sides by 6.

Answer:

x=18