Calculate the circulation of the field F around the closed curve C. F = x2y3 i +x2y3 j; curve C is the counterclockwise path around the rectangle with vertices at (0,0), (2.0), (2, 4), and (0, 4) O 51

The ordered pairs which make the open sentence true are:

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an algebraic expression based on any of the following arguments:

For this exercise, you should evaluate each of the given expressions to determine which inequalities is true when the ordered pairs are substituted. This ultimately implies that, you would have to substitute the ordered pairs into each of the given algebraic expressions and then evaluate.

When ordered pairs = (3, 6), we have:

3x + y < 14

3(3) + 6 < 14

9 + 6 < 14

15 < 14 (False).

When ordered pairs = (7, -7), we have:

3x + y < 14

3(7) + (-7) < 14

21 - 7 < 14

14 < 14 (False).

When ordered pairs = (6, 0), we have:

3x + y < 14

3(6) + 0 < 14

18 - 0 < 14

18 < 14 (False).

When ordered pairs = (-1, 6), we have:

3x + y < 14

3(-1) + 6 < 14

-3 + 6 < 14

3 < 14 (True).

When ordered pairs = (4, -1), we have:

3x + y < 14

3(4) + (-1) < 14

12 - 1 < 14

11 < 14 (True).

Read more on ordered pairs here: https://brainly.com/question/22683073

#SPJ1

Answer:

5xy

Step-by-step explanation:

I'm going out on a limb and assuming exponents.

\(5xy^{2} \\25x^{2}y \\5x^{2} y^{2}\)

We can note that 5 is a common factor for the coefficients. All the terms share at least one x. All the terms share all least one y. So the GCF of these monomials is 5xy.

Madan Bahadur would be 41.25 years old and Hari Bahadur would be 60 years old in 2080 B.S.

To solve this problem, we need to use some basic algebraic equations. Let M be the age of Madan Bahadur and H be the age of Hari Bahadur in 2050 B.S. Then we have:

M + H = 40 (Equation 1)

In 2065 B.S., their ages are M+15 and H+15, respectively. We are given that the ratio of their ages was 3:4, so we can write:

(M+15)/(H+15) = 3/4 (Equation 2)

We can simplify Equation 2 by cross-multiplying:

4(M+15) = 3(H+15)

Expanding the brackets, we get:

4M + 60 = 3H + 45

Rearranging the terms, we have:

4M - 3H = 45 - 60

4M - 3H = -15 (Equation 3)

Now we have three equations (Equations 1, 2, and 3) with three unknowns (M, H, and their ages in 2080 B.S.). We can solve for M and H first, and then use their ages in 2065 B.S. to find their ages in 2080 B.S.

From Equation 1, we can write:

H = 40 - M

Substituting this into Equation 3, we get:

4M - 3(40 - M) = -15

Expanding the brackets, we get:

7M - 120 = -15

Adding 120 to both sides, we get:

7M = 105

Dividing both sides by 7, we get:

M = 15

Substituting this value into Equation 1, we get:

H = 40 - M = 25

Therefore, Madan Bahadur was 15 years old and Hari Bahadur was 25 years old in 2050 B.S. Now we can use their ages in 2065 B.S. to find their ages in 2080 B.S.

In 2065 B.S., their ages were M+15 = 30 and H+15 = 40, respectively. We are given that the ratio of their ages was 3:4, so we can write:

30x = 3y (Equation 4)

40x = 4y (Equation 5)

where x and y are positive integers.

We can simplify Equation 4 by dividing both sides by 3:

10x = y

Substituting this into Equation 5, we get:

40x = 4(10x)

Dividing both sides by 4x, we get:

10 = 1/x

Therefore, x = 1/10. Substituting this into Equation 4, we get:

y = 10x = 1

So their ages in 2065 B.S. were 30 and 40 years, respectively.

Finally, we can use the same ratio of 3:4 to find their ages in 2080 B.S.:

Madan Bahadur's age in 2080 B.S. = 30 + 15(3/4) = 41.25 years

Hari Bahadur's age in 2080 B.S. = 40 + 15(4/3) = 60 years

Learn more about ratio at: brainly.com/question/31945112

#SPJ11

Answer:

Step-by-step explanation:

1 answer. 10

2 answer. 8

The probability that a randomly selecting a college student at Washington who either a male or a female is 33.3%

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event might occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Classical: (equally probable outcomes) (equally probable outcomes) Let S be the sample space (the collection of all unique outcomes that might occur).

Subjective Probability. Definition of Relative Frequency.

Considering there are males, females and other genders

The probability that a randomly selecting a college student at Washington who either a male or a female is 33.3%

To learn more about probability, click the following link:-

https://brainly.com/question/24756209

#SPJ4

Frostburg Inc. should charge(selling price) b) $227.27 per board.

To determine the selling price per board, we need to consider the cost of production, the desired profit percentage, and the average expense.

Let's calculate the selling price:

Cost of production per board: $75.00

Desired profit percentage: 32% of the selling price

Average expense: 35% of the selling price

Let x be the selling price per board.

The equation can be written as:

x - 75.00 = 0.32x + 0.35x

Combining like terms:

x - 75.00 = 0.67x

Simplifying:

0.33x = 75.00

Solving for x:

x = 75.00 / 0.33 ≈ 227.27

Therefore, Frostburg Inc. should charge approximately $227.27 per board.

The correct answer is:

b. $227.27

Correct Question :

Cash and Discount. Frostburg Inc. manufactures snowboards, and it has determined that the cost of production is $75.00 per board, the average expense is 35% of the selling price, and it wants to make 32% of profit from the selling price. How much will Frostburg charge per board (round to the nearest cent)?

a. $260.63

b. $227.27

c. $234.38

d. $214.29

To learn more about selling price here:

https://brainly.com/question/27796445

#SPJ4

The minimum value and median are used in the five-number summary.

A box and whisker plot displays a "box" with its left edge at Q₁, right edge at Q₃, "center" at Q₂ (the median), and "whiskers" at the maximum and minimum.

Given:

A five-number summary.

That means minimum value, lower quartile (Q1), median value (Q2), upper quartile (Q3), and maximum value.

From the given choices:

The minimum value and median are the required measures.

Therefore, the minimum value and median are the required measures.

To learn more about the box-and-whisker plot ;

https://brainly.com/question/2742784

#SPJ1

The independent variable of interest in an ANOVA procedure is called a factor. Hence (d).

The independent variable of interest in an ANOVA procedure is referred to as the factor. The factor represents the different categories or levels being compared to assess their impact on a dependent variable. It is the variable that is manipulated or controlled by the researcher to determine its effect on the outcome. In the context of ANOVA, the factor is typically a categorical variable that divides the data into distinct groups or treatments. These groups are compared to evaluate if there are statistically significant differences in the means of the dependent variable across the different levels of the factor. Therefore, the correct answer is factor(d).

Read more about ANOVA here: https://brainly.com/question/30459773

#SPJ11

Answer:

werghdfb

Step-by-step explanation:

I dont know the answer sorry

Answer:  3

Step-by-ste3p explanation:

d≥300

She will travel within 300 (so still 300) but not more. So here we use greater than or equal to to represent the distance she WON'T travel from

Answer:

496 + 2 (115) = 496 + 230

Step-by-step explanation:

The standard deviation uses the mean, which is 496 in this example. About 95% of the data falls withinTWO standard deviations from the mean. Double 115 and you get 230.

Answer is 496 + 2 (115) = 496 + 230

In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

Learn more about point system  from

https://brainly.com/question/26668636

#SPJ1

Therefore, all possible values of aa that satisfy the conditions are aa such that a<34a<43​.

To find all possible values of aa such that the quadratic equation ax2+(2a+2)x+a+3=0ax2+(2a+2)x+a+3=0 has two roots with a distance greater than 1 on the number line, we can use the discriminant.

The discriminant of a quadratic equation ax2+bx+c=0ax2+bx+c=0 is given by Δ=b2−4acΔ=b2−4ac. For the equation to have two distinct real roots, the discriminant must be greater than 0.

In our case, the discriminant is Δ=(2a+2)2−4a(a+3)=4a2+8a+4−4a2−12a=−4a+4Δ=(2a+2)2−4a(a+3)=4a2+8a+4−4a2−12a=−4a+4.

For the equation to have two distinct roots with a distance greater than 1, we want Δ>12Δ>12, which simplifies to −4a+4>1−4a+4>1.

Solving this inequality, we have −4a>−3−4a>−3, which leads to a<34a<43​.

For such more question on quadratic equation

https://brainly.com/question/30164833

#SPJ8

Answer:

45 friends

Step-by-step explanation:

Answer: 3/4 ounces of sugar for one cup.

Step-by-step explanation: Since we know that we have 1/3 cup, we can simply times the 1/4 by 3. If it helps, just imagine pouring 1/4 ounce of sugar three times.

Hope this helps :)

1. The number of computations (hashes) required for finding a collision at 80% and 10% probabilities is 1.8447 x 10^19.

2. It will take approximately 47,891 seconds (or 13.3 hours) to find a collision at 10% probability.

The number of computations (hashes) required for finding a collision at 80% and 10% probabilities depends on the size of the hash function output. Let's assume a hash function output size of 128 bits for this example.

For finding a collision at 80% probability, we need to use the birthday attack algorithm. The number of hashes required can be calculated using the following formula:

N = sqrt((2^(n+1))*ln(1/(1-p)))

where n is the size of the hash output in bits (n=128 in this case), p is the desired probability of finding a collision (p=0.8 in this case), ln is the natural logarithm, and sqrt is the square root function.

Substituting the values, we get:

N = sqrt((2^(128+1))*ln(1/(1-0.8))) = 2^64.3155 = 1.8447 x 10^19

Therefore, we need 1.8447 x 10^19 hashes to find a collision at 80% probability.

For finding a collision at 10% probability, we can use the following formula:

N = sqrt((2^(n+1))*ln(1/(1-p)))

Substituting the values, we get:

N = sqrt((2^(128+1))*ln(1/(1-0.1))) = 2^55.9724 = 4.7891 x 10^16

Therefore, we need 4.7891 x 10^16 hashes to find a collision at 10% probability.

If we have a computer that can process a trillion hashes per second, we can calculate the time required to find a collision at 10% probability as follows:

time = N / rate

where N is the number of hashes required to find a collision (N=4.7891 x 10^16), and rate is the rate of hashes that the computer can process per second (rate=1 trillion = 1 x 10^12).

Substituting the values, we get:

time = (4.7891 x 10^16) / (1 x 10^12) = 4.7891 x 10^4 seconds

Therefore, it will take approximately 47,891 seconds (or 13.3 hours) to find a collision at 10% probability with a computer that can process a trillion hashes per second.

Know more about  computations here:

https://brainly.com/question/29558206

#SPJ11

To find the function y(x) given the initial conditions y(0) = 20, y'(0) = 16, and y''(0) = 0, we can solve the differential equation y(x) - 8y''(x) + 16y'''(x) = 0.

Let's denote y''(x) as z(x), then the equation becomes y(x) - 8z(x) + 16z'(x) = 0. We can rewrite this equation as z'(x) = (1/16)(y(x) - 8z(x)). Now, we have a first-order linear ordinary differential equation in terms of z(x). To solve this equation, we can use the method of integrating factors.

The integrating factor is given by e^(∫-8dx) = e^(-8x). Multiplying both sides of the equation by the integrating factor, we get e^(-8x)z'(x) - 8e^(-8x)z(x) = (1/16)e^(-8x)y(x).

Integrating both sides with respect to x, we have ∫(e^(-8x)z'(x) - 8e^(-8x)z(x))dx = (1/16)∫e^(-8x)y(x)dx.

Simplifying the integrals and applying the initial conditions, we can solve for y(x) as a function of x.

To know more about differential equations click here: brainly.com/question/32538700

#SPJ11

Answer:

option  C

Step-by-step explanation:

We will take 2 coordinates from the graph and Find the equation of the line.

Let the coordinates be : ( 0, 1) and (1, 3)

step 1 : find slope

\(slope , m = \frac{y_2 - y_ 1}{x_2 - x_1} = \frac{3-1}{1-0} = 2\)

Step 2 : equation of the line :

\(( y - y_1) = m (x- x_1)\)

\((y -1) = 2 ( x -0)\\y - 1 = 2x \\y = 2x + 1\)

Therefore, y = 2x + 1 represent the equation of the line.

Answer:

C

Step-by-step explanation:

You need to solve for y = mx + b

You can solve for b right away. It is clear that the line crosses the y axis at (0,1) so you have

y = mx + 1 so far.

Normally you would need two clear points to solve for m, but since you know the y intercept, you need only 1 point.

The clearest point I can see is (-2,-3) which means that

x = -2

y = - 3

Put that into the equation and solve for m.

-3 = m(-2) + 1          Subtract 1 from both sides

-3-1 = m(-2)             Combine

-4 = -2 m                 Divide both sides by - 2

-4/-2 = m

m = 2

Answer

only a and c are real choices. That's because m = 2 in both cases.

The equation we got is y = 2x + 1 which is c

Answer:

1,3

Step-by-step explanation:

Answer:

f ( -2) = − 3 ^245fsaf

Step-by-step explanation:

f ( -2) = − 3 ^2wqs

f(-2)= -3^2

f(-2) = -3 × (-3)

f(-2) = 9

Must click thanks and mark brainliest

Answer:

B

10^9

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The equation of the curve that passes through the point (2, 3) and has a slope of ye at any point (x, y), where y > 0, is given by the equation y = 3e^(2x - 2).

The equation y = 3e^(2x - 2) represents an exponential curve. In this equation, e represents the mathematical constant approximately equal to 2.71828. The term (2x - 2) inside the exponential function indicates that the curve is increasing or decreasing exponentially as x varies. The coefficient 3 in front of the exponential function scales the curve vertically.

The point (2, 3) satisfies the equation, indicating that when x = 2, y = 3. The slope of the curve at any point (x, y) is given by ye, where y is the y-coordinate of the point. This ensures that the slope of the curve depends on the y-coordinate and exhibits exponential growth or decay.

Learn more about equation here: brainly.com/question/29174899

#SPJ11

The steps for subtracting mixed numbers are the transformation of improper fractions, subtraction of denominator, then subtracting numerator, making it the smallest term, and reverse.

Finding the difference between two mixed numbers is required when subtracting mixed numbers. The steps for subtracting mixed numbers are as follows:

Step 1: Transform the mixed values into improper fractions in step 1. To achieve this, divide the total by the denominator, then add the numerator. The new numerator is the outcome, and it is positioned above the denominator.

Step 2: Identify a common denominator in step two. You must identify a common denominator to subtract fractions with various numerators.

Step 3: Subtract the fractions in step three. Subtract the numerators from the fractions while maintaining the same denominator.

Step 4: Make the outcome simpler. Simplify the outcome if you can by breaking the fraction down into its smallest terms. 13/4 in this instance may be expressed as 3 1/4.

Step 5: Reverse the incorrect fraction to a mixed number in step 5. Divide the numerator by the denominator to return the improper fraction to a mixed number. The full number serves as the numerator, and the remainder serves as the quotient.

Learn more about mixed numbers at

https://brainly.com/question/24137171

#SPJ4

The question is -

How to Subtract mixed numbers?

Answer:

5,957

Step-by-step explanation:

if you do length × width × height then add 6 then add 11 you'll get this answer I think

Answer:

1620 ft³

Step-by-step explanation:

Volume :

2970 ft³

1/2(6 ft x 18 ft ) x 30 ft =

(6 ft x 9 ft) x 30 ft =

54 ft² x 30 ft  = 1620ft³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The result of multiplying the octal numbers, (741)_8 by (10)_8 is (74100)_8.

To multiply an octal number n directly in octal by (10)_8, we need to perform a left shift of n by one digit. This is because (10)_8 is equivalent to the decimal number 8, which is a power of 2. Therefore, shifting n by one digit is equivalent to multiplying it by 8.

To perform a left shift in octal, we simply add a zero to the right of the octal number. For example, if we want to left shift the octal number (741)_8, we would write it as (7410)_8.

To obtain the result of multiplying n by (10)_8, we simply perform the left shift operation. Using the example of n = (741)_8, we can perform the left shift to get:

(7410)_8 × (10)_8 = (74100)_8

Learn more about octal number here

brainly.com/question/13427000

#SPJ4

Answer:

x=sint

Differentiating w.r.t. t, we get,

dt

dx

​

=cost

y=cos2t

Differentiating w.r.t. t, we get,

dt

dy

​

=−2sin2t

Thus,  

dx

dy

​

=−

cost

2sin2t

​

dx

dy

​

=

cost

−4sintcost

​

=−4sint

Step-by-step explanation:

Answer:

A ≈ 27.34

Step-by-step explanation:

Answer:

27.34

Step-by-step explanation:

Google

Answer:

6 miles

Step-by-step explanation:

1/3 of 60 is 20

so multiply 1 1/2 by 3 = 4 1/2

4 1/2 - total for 1 hour

so to fine 3 hours multiply that by 3

which is 6 hours.