The flux through the boundary of the rectangle OS XS 3,0 s y < 5 for fluid flowing along the vector field (x³ +4, y cos(5x)) is 0.
The flux through through the boundary of the rectangle OS XS 3,0 s y < 5 for fluid flowing along the vector field (x³ +4, y cos(5x)) can be found by using the formula:
φ = ∫ F · n dA
Here, F is the vector field and n is the outward normal vector to the boundary of the rectangle.
Firstly, let's find the normal vector to the boundary.
Since the boundary lies in the xy plane, the outward normal vector is given by (0, 0, ±1).
Since y < 5, we need to consider the top and bottom faces of the rectangle separately.
Let's start with the bottom face, where n = (0, 0, -1).
The flux through the bottom face is given by
φ1 = ∫ F · n dA
Substituting the values in the above equation, we get
φ1 = ∫ (x³ + 4)(-1) dA
where the integration is done over the bottom face of the rectangle.
The area of the bottom face of the rectangle is given by A1 = 3 × 5 = 15.
Therefore,
φ1 = -∫x³ dA
= -∫xy³|ₓ₀|⁵ dxdy
= -∫(x y³/4)|ₓ₀|⁵ dy
= -1/4 ∫y³(15-y²)dy
= -1/4 (15(5)²/2 - 5⁴/4)
= -359.375
Similarly, for the top face, n = (0, 0, 1) and the flux is given by
φ2 = ∫ F · n dA
= ∫ (x³ + 4) dA
where the integration is done over the top face of the rectangle.
The area of the top face of the rectangle is given by A2 = 3 × 5 = 15.
Therefore,
φ2 = ∫x³ dA
= ∫xy³|ₓ₀|⁵ dxdy
= ∫(x y³/4)|ₓ₀|⁵ dy
= 1/4 ∫y³(15-y²)dy
= 1/4 (15(5)²/2 - 5⁴/4)
= 359.375
Hence, the total flux through the boundary is given byφ = φ1 + φ2
= -359.375 + 359.375
= 0
Therefore, the flux through the boundary of the rectangle OS XS 3,0 s y < 5 for fluid flowing along the vector field (x³ +4, y cos(5x)) is 0.
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A triangle has two sides of lengths 4 and 7. What value could the length of the third side be? Check all that apply
A.7
B.17
C.11
D.5
E.9
F.3
Answer: E
Step-by-step explanation:
4 x 4 = 16
7 x 7 = 49
16 + 49 = 65
8.062 is the square root of 65.
Round 8.062 I guess you could round it to 9 but I believe the actual answer should be 8.
help me please 20 points
Answer:
47 inches
Step-by-step explanation:
12 + 10 + 16 + 9 = 47
hope this helps you :)
perimeter means all the sides added up together.
Part Two Using the diagram above, answer the following questions. Answer both parts of each question. For questions 7 and 8, identify the process as either cellular respiration, photosynthesis or both. True or False. The arrow labeled C represents a transfer of chemical energy to mechanical energy. Explain why this is true or false. True or False. The arrow labeled A represents a transfer of solar energy to chemical energy. Explain why this is true or false. Which arrow or arrows represent a release of carbon dioxide? What process is occurring at the arrow(s) you selected? Which arrow or arrows indicate a process that cycles carbon from living or nonliving organisms? Describe the process or processes you selected. Which arrow or arrows represent reactions that demonstrate a conservation of mass and energy? Explain your answer.
The arrow labeled C represents a transfer of chemical energy to mechanical energy. False, this is because, the gas released does not do any work.
The arrow labeled A represents a transfer of solar energy to chemical energy. True, chemical energy is stored in starch molecules
The arrows that represent the release of carbon dioxide is C. This is combustion and it occurs in nonliving things. The process involves the burning of carbon materials.
The conservation energy is demonstrated by arrow A since we can show it by a chemical reaction.
What is the carbon cycle?
The carbon cycle is the process by which carbon atoms circulate through the Earth's atmosphere, oceans, and landmasses. In the carbon cycle, carbon is exchanged between the atmosphere, biosphere, hydrosphere, and geosphere. The main components of the carbon cycle include photosynthesis, cellular respiration, decomposition, and combustion.
In photosynthesis, plants take in carbon dioxide from the atmosphere and convert it into organic compounds, which serve as food for the plants and are stored in their tissues.
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based on the performance of those who took the gre exam between july 1, 2004 and june 30, 2007, the average verbal reasoning score was calculated to be 462. in 2011 the average verbal score was slightly higher. do these data provide convincing evidence that the average gre verbal reasoning score has changed since 2004?
Without more information and statistical analysis, it is difficult to determine whether the data provide convincing evidence that the average GRE verbal reasoning score has changed since 2004.
To determine whether the average GRE verbal reasoning score has changed since 2004, we would need to conduct a hypothesis test. We could set up a null hypothesis that the population mean for the verbal reasoning score has not changed since 2004, and an alternative hypothesis that the population mean has increased.
Assuming a normal distribution of scores, we could use a two-sample t-test to compare the means of the two populations (scores from 2004-2007 and scores from 2011). We would need to collect a random sample of scores from both time periods and calculate the sample means and standard deviations.
Without knowing the sample size or standard deviation of the 2011 scores, it is difficult to determine whether the difference in average scores is statistically significant. However, if the sample sizes are large enough and the difference in means is significant, then we could conclude that there is convincing evidence that the average GRE verbal reasoning score has changed since 2004.
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Use limits to determine if
x+3
f(x) = is continuous at x = 3.
The correct answer is (d) No, it is not continuous because lim x→3 f(x) ≠ lim x→3 f(x).
To determine if the function f(x) = (x+3)/(x²-9) is continuous at x=3, we need to check if the limit of the function exists as x approaches 3 from both the left and the right, and whether this limit is equal to the value of the function at x=3.
First, we can check the limit as x approaches 3 from the left:
lim x→3- f(x) = lim x→3- (x+3)/(x²-9) = (-3)/(0-) = ∞
Next, we can check the limit as x approaches 3 from the right:
lim x→3+ f(x) = lim x→3+ (x+3)/(x²-9) = (6)/(0+) = ∞
Since both one-sided limits are infinite, the limit as x approaches 3 does not exist.
Therefore, the function f(x) = (x+3)/(x²-9) is not continuous at x=3.
The correct answer is (d) No, it is not continuous because lim x→3 f(x) ≠ lim x→3 f(x).
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A recipe for chocolate chip cookies called for 2/3 cup of flour if i want to travel the recipe how much flour will i need
If you want to travel the recipe to make a smaller batch of 12 cookies, you would need 1/3 cup of flour, for preparing the chocolate chip cookies.
If a recipe for chocolate chip cookies calls for 2/3 cup of flour, then if you want to triple the recipe, you would need 2/3 x 3 = 2 cups of flour.
However, if you want to travel the recipe, meaning reduce the recipe to make a smaller batch, then you need to know the ratio of the ingredients.
For example, if the original recipe made 24 cookies, and you only want to make 12 cookies, then you would need to reduce all of the ingredients by half.
Since the recipe calls for 2/3 cup of flour to make 24 cookies, to make 12 cookies, you would need:
2/3 cup flour
x 1/2 = 1/3 cup of flour
So, if you want to travel the recipe to make a smaller batch of 12 cookies, you would need 1/3 cup of flour.
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Mohammed collects sports cards. 40% of his cards are basketball cards and
the rest are baseball cards. if c represents the total number of cards, which
expression represents the number of baseball cards?
Expression that shows the number of baseball card is c - (40/100 × c)
What is expression?In mathematics, expression is the mathematical statement made up of numerical and variable terms along with operator. By using expression mathematical operation is described in a symbolic form.
How to write the expression given in question?
Given, the total number of cards = c
40% cards are basketball cards
So, the number of basketball card -= 40/100 × c
We know that total cards are the sum of basketball card and baseball card.
Now, baseball card = c - (40/100 × c)
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after finishing her shift, a waitress wrote 2.5 under “hours worked” on her time card. How long did she work?
Answer:
if it says 2.5 that mean 2 hours and 5 minutes
Answer:
Two hours and 30minutes
Step-by-step explanation:
Easy question! Will mark brainiest if you show steps
What value of x makes this equation true?
x/3 − 3 = x/9 + 3
A. 3
B. -9
C. -1
D. 27
Answer:
D.27
Step-by-step explanation:
I took a picture of my work doing a explanation.
(sorry for the messy hand writing)
greatest common factor of 14C3 70C4 28C2
The greatest common factor of 364, 916895, 378 is 7
What is Greatest Common Factor (GCF)The largest number, which is the factor of two or more number is called the Greatest Common Factor (GCF). It is the largest number (factor) that divide them resulting in a Natural number. Once all the factors of the number are found, there are few factors which are common in both. The largest number that is found in the common factors is called the greatest common factor. The GCF is also known as the Highest Common Factor (HCF)
In this problem, we have the numbers given with combination
A)
¹⁴C₃ = 364
Factors = 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
B) ⁷⁰C₄ = 916895
Factors = 1, 5, 7, 17, 23, 35, 67, 85, 115, 119, 161, 335, 391, 469, 595, 805, 1139, 1541, 1955, 2345, 2737, 5695, 7705, 7973, 10787, 13685, 26197, 39865, 53935, 130985, 183379, 916895
C) ²⁸C₂ = 378
Factors = 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The greatest common factors is 7
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PLEASE HELP!! Due today!! - The graph below represents the height of a football pass, in feet, x seconds after the ball is thrown. Which of the following best describes the interpretation of f(2)?
Someone said it was d..... but I think it’s either b or c .... so now I’m confused :(
If someone can help me they will get 20 points!! You may get brainliest!! Pls help!
(Attached are the graph and answer choices)
Answer:
The answer is B
Q6. NON-CALCULATOR
x + 2/3x +
x-2/2x =3
in file
Step-by-step explanation:
Name two acute adjacent angles
Answer:
Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap. Because: they have a common side (line CB) they have a common vertex (point B)
Step-by-step explanation:
Hello, I need help with sample dpace
Answer:1/2 problability for both odd and same for evens.1/8 chance of spinning a 3 .25% chance of a 4 or 6.one eight of a chance of spinning a 7 or 1.part 2. a is false because the chance of spinning and odd is 50% and their is 3 numbers less than 4 .4 numbers would be a 50% chance to buts its not.b is true because he has a chance of spinning any number i think.c is true because there are 4 odd numers and 2 and 4 is half of 4
Step-by-step explanation:
The base of a triangle is 5 inches more than 2 times the height. If the area of the triangle is 9 square inches, find the base and height
The base of the triangle is 9 inches and the height is 2 inches.
Let's denote the height of the triangle as h, and the base as b.
We know that the area of a triangle is given by the formula:
Area = (1/2) * base * height
Substituting the values we have:
9 = (1/2) * b * h
Multiplying both sides by 2 gives:
18 = b * h
We also know that the base is 5 inches more than 2 times the height:
b = 2h + 5
Substituting this expression for b in terms of h in the area equation, we get:
18 = (2h + 5) * h
Expanding the right-hand side, we get:
18 = 2h^2 + 5h
Rearranging this equation, we get:
2h² + 5h - 18 = 0
We can solve for h by using the quadratic formula:
h = [-b ± \(\sqrt{b² - 4ac}\)] / 2a
where a = 2, b = 5, and c = -18.
Plugging these values into the formula, we get:
h = [-5 ± \(\sqrt{5^{2} - 4(2)(-18) }\)] / (2 * 2)
Simplifying:
h = [-5 ± \(\sqrt{169}\)] / 4
Taking the positive solution:
h = [-5 + 13] / 4
h = 2
Now that we know the height is 2 inches, we can use the equation b = 2h + 5 to find the base:
b = 2(2) + 5 = 9
Therefore, the base of the triangle is 9 inches and the height is 2 inches.
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If AC bisects ∠BAD, is ABC ≅ ADC? Explain.
The?image?consists?of?a?regular?triangle?ABD?with?base?AD.?A?segment?joins?vertex?A?to?side?BD?at?point?C?making?an?angle?of?90?degrees?with?it.
A. Yes; then ∠BAC is congruent to ∠DAC, and the triangles are congruent by ASA.
B. Yes; then ∠BAC is congruent to ∠CAD, and the triangles are congruent by AAS.
C. No; in that case, only two pairs of corresponding congruent angles would be known.
D. No; in that case, only one pair of corresponding congruent angles and one pair of corresponding congruent sides would be known.
Answer: I think it’s a or c
Step-by-step explanation:
for 1 above, discuss how you compute a confidence interval for the two regression coefficients. do not do the computation. give a reasonable, but not excessive amount of detail.
To compute a confidence interval for the two regression coefficients, we typically use the standard error of the estimate, the t-distribution, and the sample data.
First, we calculate the standard error of the estimate for each regression coefficient. This involves estimating the variability of the data around the regression line. The standard error is a measure of how much the estimated regression coefficient may vary from the true population value.
Using the standard error and the critical value, compute the margin of error as it represents the range within which we expect the true population regression coefficient to fall.
Finally, we construct the confidence interval by taking the estimated regression coefficient and adding/subtracting the margin of error. The resulting interval represents the range of likely values for the true population regression coefficient with the specified level of confidence.
It's important to note that the specific formulas and calculations involved may vary depending on the regression model and assumptions made, such as the normality of errors and independence of observations.
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Suppose u and v are functions of x that are differentiable at x = 0 and that u(0) = 2, u'(0)= - 1,7(0) = 5, and v'(0) = 9. Find the values of the following derivatives at x=0. . O d/dx (uv) O d/dx (u/v)O d/dx (v/u)O d/dx (-2v-3u)
1) d/dx (uv) = u'(0)v(0) + u(0)v'(0) = 2(9) + (-1)(5) = 13. 2) d/dx (u/v) = [v(0)u'(0) - u(0)v'(0)] / [v(0)]² = [2(-1) - 5(9)] / [2]² = -23/4. 3) d/dx (v/u) is undefined at x = 0 because the denominator u(0) is zero. 4) d/dx (-2v-3u) = -2v'(0) - 3u'(0) = -2(9) - 3(-1) = -15.
Using the product rule, we have:
d/dx (uv) = u'v + uv'
Substituting the given values, we get:
d/dx (uv) = (-1)(9) + (2)(5) = 1
Using the quotient rule, we have:
d/dx (u/v) = (u'v - uv')/v²
Substituting the given values, we get:
d/dx (u/v) = [(-1)(2) - (5)(2)]/2² = -7/4
Using the quotient rule again, we have:
d/dx (v/u) = (v'u - vu')/u²
Substituting the given values, we get:
d/dx (v/u) = (9(2) - 7(5))/2² = -11/4
Using the sum and constant multiple rules, we have:
d/dx (-2v - 3u) = -2(d/dx v) - 3(d/dx u) = -2(9) - 3(-1) = -15
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Some one pls helps ASAP plsss I’ll give brainiest
Answer:
A is the answer
Step-by-step explanation:
The answer is A like he said above
What is 230 kilometers converted to meters per minute?
Your answer would be 230,000
A fence is put around a rectangular plot of land. The perimeter of
the fence is 28 feet. Two of the opposite sides of the fence cost $10
per foot. The other two sides cost $12 per foot. If the total cost of
the fence is $148, what are the dimensions of the fence?
1) 8 by 20
2) 4 by 102
3) 3 by 113
4) 2 by 12
The sum of 8 and 5 equal to the Difference of numbers and 2
Step-by-step explanation:
8+5=x-2
x=15
or
8+5=2-x
x=2-13
x=-11
A/a; B/b; C/C; D/d x A/A; B/b; c/c; D/d What is the probability of obtaining A/a; B/b; C/c; D/d offspring? 1/4 1/8 1/16 3/16 1/32
Since each trait is inherited independently, we can multiply the probabilities together. The probability of obtaining A/a; B/b; C/c; D/d offspring is (1/2) * (1/2) * (1/2) * (1/2) = 1/16.
The probability of obtaining A/a; B/b; C/c; D/d offspring can be calculated by multiplying the probabilities of each individual trait. Since each trait is inherited independently, we can multiply the probabilities together.
The probability of obtaining A/a offspring is 1/2 (A is dominant and a is recessive).
The probability of obtaining B/b offspring is 1/2 (B is dominant and b is recessive).
The probability of obtaining C/c offspring is 1/2 (C is dominant and c is recessive).
The probability of obtaining D/d offspring is 1/2 (D is dominant and d is recessive).
Therefore, the probability of obtaining A/a; B/b; C/c; D/d offspring is (1/2) * (1/2) * (1/2) * (1/2) = 1/16.
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Toothy the crocodile wants to eat a delicious chicken. His mouth is open to an angle of 30 degrees.
He needs to open his mouth to an angle of 55 degrees for the chicken to fit.
What is the measure of the additional angle Toothy's mouth needs to open so he can eat the chicken?
Answer: 25°
Step-by-step explanation:
From the question, Toothy the crocodile wants to eat a delicious chicken and his mouth is open to an angle of 30 degrees but he needs to open his mouth to the angle of 55 degrees for the chicken to fit.
The additional angle that Toothy's mouth needs to be open so he can eat the chicken will be:
= 55° - 30°
= 25°
Answer:
25
Step-by-step explanation:
did it on khan academy
A truck is shipping jugs of drinking water and cases of paper towels. A jug of drinking water weighs 35 pounds and a case of paper towels weighs 25 pounds. The truck can carry 1,600 pounds of cargo altogether.
1. Complete the table showing three ways the truck could be packed with jugs of water and cases of paper towels.
jugs of drinking water, w
cases of paper towels,
2. Write an equation relating the number of jugs of water, w, and the number of cases of paper towels, t, the truck can carry.
Next →
Please help me, I’ll give you brainlyist point and like 50 points.
Using a system of equations, we have that:
1. The table is completed on the image given at the end of the answer.
2. The equation is: 35w + 25t = 1600.
What is a system of equations?A system of equations is a set of equations in the context of a problem, and solving these equations, the numeric value of each variable in the context of the problem is found.
The variables in this problem are defined as follows:
Variable w: number of jugs of water.Variable t: cases of paper towels.A jug of drinking water weighs 35 pounds and a case of paper towels weighs 25 pounds. The truck can carry 1,600 pounds of cargo altogether. Hence the equation is:
35w + 25t = 1600.
When w = 10, the numeric value of t is obtained as follows:
35(10) + 25t = 1600
t = (1600 - 350)/25
t = 50.
When w = 30, the numeric value of t is obtained as follows:
35(30) + 25t = 1600
t = (1600 - 1050)/25
t = 22.
When t = 8, the numeric value of w is obtained as follows:
35w + 25(8) = 1600
w = 1400/35
w = 40.
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What is the value of y in this exponential decay function when x equals 2?
y = 0.3^x
A: 0.9 B: 0.6 C: 0.06 D: 0.09
Answer:
The answer is d
Step-by-step explanation:
0.09
Answer:
\(\boxed{\sf D. \ 0.09}\)
Step-by-step explanation:
\(\sf y = 0.3^x\)
\(\sf Plug \ x \ as \ 2.\)
\(\sf y = 0.3^2\)
\(\sf y =( \frac{3}{10} )^2\)
\(\sf y =\frac{3^2 }{10^2 }\)
\(\sf y =\frac{9}{100 }\)
\(\sf y =0.09\)
The sum of two numbers is 72, and their difference is 40. Find the numbers.
Answer:
the answers are 51 and 11
Answer:first number is 51 second number is 11
Step-by-step explanation:
Find the total surface area of this square based pyramid. 10 in 5 in [ ? ]in?
Answer:
The answer is "\(125 \ in^2\)"
Step-by-step explanation:
There is a base of five on every triangular face and a height of ten in. The field of the formulation
\(A = (\frac{1}{2})bh \\\\A = (\frac{1}{2} \times 5\ in \times 10\ in)\)
\(= \frac{50 }{2} \ in^2\\\\=25 \ in^2\\\\\)
The base of the square has a formula area
\(A = s^2 = (5\ in)^2 = 25 \ in^2\)
The total area consists of the sum of the four-face area and the base: \(total \ \ area = 4 \times \text{(area of 1 face) + (area of base)}\)
\(= 4 \times (25\ in^2 ) + 25 \ in^2 \\\\= 125 \ in^2\)
put the following numbers from least to greatest 3/8 square root 7, -pie/2, -square root 3
Answer:
- 1.73205080757 - 1.57079632679 3/8 2.64575131106
Step-by-step explanation:
Answer: -square root 3, -pie/2 , then 3/8 square root 7.
The grams of fiber from 1,000 different breakfast cereals sold in the United States were collected.
Which graphical representation would be most appropriate for the data, and why?
Bar chart, because the data is categorical
Histogram, because there is a large set of data
Stem-and-leaf plot, because you can see the shape of the data
Line plot, because you can see the mode of the data
The most appropriate graphical representation for the grams of fiber from 1,000 different breakfast cereals sold in the United States is; Histogram, because there is a large set of data.
Since histogram is a graphical representation of the distribution of numerical data. This is consist of a series of adjacent rectangles, or bins, that are used to represent the frequency distribution of the data. The height of each bin corresponds to the number of data points that fall within a particular range or interval.
Hence, we have that each bin will represent the number of observations in an interval of grams of fiber.
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