The double integral of (2x)/(1+xy)dA over the rectangular region R = [0, 2]×[0, 1] give an approximate value of 2.0044.
Therefore, the answer is 2.0044.
By double Riemann sum,
∫∫(2x)/(1+xy) dA ≈ ∑(i = 1 to m)∑(j = 1 to n)f(xij*⁻, yij*⁻)ΔA
R = [0, 2]×[0, 1], that is a = 0, b = 2, c = 0, d = 1
Dividing R into four squares with m = n = 2 and corners of each square chosen (1, 1), (1, 2), ( 2, 1) and (2, 2). So midpoint of the square is (0.5, 0.5), (0.5, 1.5), ( 1.5, 0.5) and (1.5, 1.5)
Δx = (b - a)/m = 1
Δy = (d - c)/ n = 0.5
ΔA = ΔxΔy = 0.5
∫∫(2x)/(1+xy) dA ≈ ∑(i = 1 to 2)∑(j = 1 to 2)f(xij*⁻, yij*⁻)ΔA
= ΔA × ( f(0.5, 0.5) + f(0.5, 1.5) + f( 1.5, 0.5) + f(1.5, 1.5))
= 0.5 × ( (2×0.5)/(1+0.5×0.5) + (2×0.5)/(1+0.5×1.5) + (2×1.5)/(1+1.5×0.5) + (2×1.5)/(1+1.5×1.5))
≈ 0.5 × 4.0088
= 2.0044
--The question is incomplete, answering to the question below--
"Calculate the double integral.
(2x)/(1+xy) dA
R = [0, 2]×[0, 1]"
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What fraction has the same value as 55.5%
Answer:
55.5 as a fraction is 111/2.
Answer: 55.5 as a fraction is 111/2.
Step-by-step explanation:
if the nth term of a number sequence is n^2+1 find the first three terms and the tenth term
Answer: The first three terms of the sequence are: 1^2+1=2, 2^2+1=5, 3^2+1=10
The tenth term of the sequence is: 10^2+1=101.
Step-by-step explanation: To find the first three terms of a number sequence in which the nth term is n^2+1:
For the first term, set n equal to 1 and substitute it into the formula: 1^2 + 1 = 2
For the second term, set n equal to 2 and substitute it into the formula: 2^2 + 1 = 5
For the third term, set n equal to 3 and substitute it into the formula: 3^2 + 1 = 10
To find the tenth term of the same sequence, set n equal to 10 and substitute it into the formula: 10^2 + 1 = 101.
Which of the following is not a criteria for the construction of triangle Class 7?
a)SSS
b) SAS
c) ASA
d) SSA
Answer:
D. SSA
Step-by-step explanation:
SSA doesn't work because it can produce 2 different triangles that wouldn't be congruent. The angle of the 3rd side without restriction could change, changing the size of the figure. The image attached can help you understand this.
Marc wrote down a 5 digit number on a piece of paper. The number when rounded off to the nearest thousand was 12 000. What was the greatest possible number that he wrote?
Answer:
12499
Step-by-step explanation:
because if it would be 12500 it would round up to 13000.
6d+5/1/3 Tell how many terms the expression has
Answer:
2 terms
Step-by-step explanation:
An algebraic expression may be composed of one or more terms. A term of an expression may be a constant, a variable, a product of more than two variables (xy), or a product of a variable and a constant.
5/6x-4=-2 PLease help thanks so much i hope yall have a good day
The value of x would be [tex]x=\frac{12}{5}[/tex].
What is Calculus?Calculus is a branch of mathematics that focuses on the study of change, or the rate of change of a given function. It involves the use of derivatives, integrals, and limits to solve problems in physics, engineering, economics, and other sciences. Calculus is used to describe the behavior of objects under changing conditions, such as velocity, acceleration, and force. It is also used to optimize systems and to solve equations involving functions of several variables. Calculus provides a powerful tool for analyzing and understanding the physical world.
[tex]\frac{5}{6} x-4=-2[/tex]
Now, combining [tex]\frac{5}{6}[/tex] and x we get
[tex]\frac{5x}{6} -4=-2[/tex]
So,
[tex]\frac{5x}{6} -4=-2\\\\\frac{5x}{6} =2\\\\x=\frac{12}{5}[/tex]
Hence, [tex]x=\frac{12}{5}[/tex].
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the probability of an archer hitting her target is 83%. suppose she has 20 shots to take, and each shot is independent of the others. let x represent the number of targets hit. what is the mean of x?
the probability of an archer hitting her target is 83%.The mean of x is 16.6 (16.6 targets hit).
The probability of the archer hitting her target is 83%. This means that for each shot she takes, the probability of her hitting her target is 0.83. Since she has 20 shots to take, the expected number of targets hit is 20 x 0.83, which is 16.6.
The mean of x, which is the number of targets hit, is therefore 16.6. This can be calculated by taking the probability of success (0.83) multiplied by the number of trials (20), which gives the expected value of 16.6.
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What is the biggest misconception about you?*
I do not have any information about you or your beliefs, experiences, or actions.. I do not have the ability to make judgments or assumptions about you or any other individual, you should provide more context as well as fix the category your question is listed under, you might have better results.
Solve this equation. -108 = 6x for x
Answer: x = 18
Step-by-step explanation: If you do 108 divided by 6, you get 18.
I'm not sure whether this is what you wanted for an answer, but here.
Answer:
[tex] \sf \: x = - 18[/tex]
Step-by-step explanation:
Given equation,
→ -108 = 6x
Now the value of x will be,
→ -108 = 6x
→ 6x = -108
→ x = -108/6
→ [ x = -18 ]
Hence, the value of x is -18.
A cubic polynomial function f is defined by. 3. 2. ( ) 4. f x x ax bx k where a, b, and k are constants
In a cubic polynomial function f is defined by f(x) = 4x³ + ax² + bx + k, where a, b, k, are constants and has a local minimum at x = -2 and a local maximum at x = 0, then values of a and b is 12 and 0 respectively. If integrate of f(x)dx = 32 from 0 to 1, then value of k is 27.
The given cubic polynomial function is
f(x) = 4x³ + ax² + bx + k
f'(x) = 12x² + 2ax + b
f''(x) = 24x + 2a
At local maximum f' = 0
f'(0) = 12×(0)² + 2a×(0) + b = 0
b = 0
At local minimum, f' = 0
That is f'(-2) = 0 and f''(-2) > 0
f'(-2) = 12×(-2)² + 2a×(-2) + b = 0
48 - 4a + b = 0
4a - b = 48
a = 12
Therefore, f(x) = 4x³ + 12x² + k
Integrate f(x)dx = 32 from 0 to 1, that is
∫₀¹ f(x)dx = 32
∫₀¹ (4x³ + 12x² + k) dx = 32
[ x⁴ + 4x³ + kx ]₀¹ = 32
(1⁴ - 0⁴) + 4(1³ - 0³) + k(1 - 0) = 32
1 + 4 + k = 32
k = 27
-- The question is incomplete, answering to the question below--
"A cubic polynomial function f is defined by f(x) = 4x³ + ax² + bx + k, where a, b, k, are constants. The function f has a local minimum at x = -2 and a local maximum at x = 0.
A. Find the values of a and b
B. If you integrate f(x)dx = 32 from 0 to 1, what is the value of k?"
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Revert to the photo for the math question.
Thanks!
The volume of the crater is 64800000 m³
Calculating volume of the craterFrom the question, we are to determine the volume of the crater.
From the given information,
d = 2∛(V/0.3)
To determine the volume,
First, we will solve for V in the equation
d = 2∛(V/0.3)
Divide both sides by 2
d/2 = ∛(V/0.3)
Take the cube of both sides
(d/2)³ = V/0.3
Then,
V = 0.3(d/2)³
Now, substitute the value of the diameter
d = 1200m
Then,
V = 0.3(1200/2)³
V = 0.3(600)³
V = 64800000 m³
Hence, the volume is 64800000 m³
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1 2/5m - 3/5 ( 2/5m + 1 ) I tried -3/5 it is wrong simplify pls
Answer:
[tex] \sf \: \frac{29m - 15}{25} \: (or)1 \frac{4}{25}m - \frac{3}{5} [/tex]
Step-by-step explanation:
Given expression,
→ 1 2/5m - 3/5(2/5m + 1)
Simplifying the given expression,
→ 1 2/5m - 3/5(2/5m + 1)
→ (7/5)m - 3/5(2/5m + 1)
→ (7/5)m - (6/25)m - (3/5)
→ (35/25)m - (6/25)m - (3/5)
→ ((35 - 6)/25)m - (3/5)
→ (29/25)m - (3/5)
→ (29m - 15)/25
→ 1 4/25m - (3/5)
Hence, answer is 1 4/25m - (3/5).
Which statement best explains
why the sum of the areas of the
two white squares in Figure 2 is
the same as the area of the white
Q
square in Figure 1?
Figure
Figure 2
The combined area of the four triangles is equal to the area of the large white
square.
In each triangle, the length of side a plus the length of side b equals the length
of side c. That means that a2 + b2 = c?.
In each figure the total area is equal and the area of the triangles is equal, se
the remaining white area in each figure must also De equal.
Answer:
This because the root cancel each other
You randomly chooe one of the chip. Without replacing the firt chip, you chooe a econd chip. Which quetion i different?
The probability is 0.07777.
What does probability mean?
The number of desired outcomes divided by the total number of outcomes yields a probability.
We are attempting to determine the likelihood, out of 10, that the first chip will be white and the second won't be green while assuming that one chip is white and two are green.
1/10 of the time, the initial chip will be white. If the first chip is white, there is a 7/9 chance that the second chip will be a color other than green. The desired probability is therefore provided by:
Ten chips are present.
white 1
red 4
green 2
Blue 3
the likelihood of selecting the W chip is one in ten, or 0.10
There are now only 9 chips left (the first chip was not replaced)
Selecting a non-green chip has a probability of (9-2)/9 = 7/9 = 0.7777.
you multiply the two probabilities to obtain the overall probability at this point.
probability is 0.1 to 0.7776.
The probability is equal to 0.07777, which implies that it must be less than 0.1.
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Solve this system of equations by graphing. First graph the equations, and then type the solution.
Answer:
(6,0)
Step-by-step explanation:
Solving a system of equations is finding where 2 (or more) lines intersect.
Graph the lines:
y = x/6 - 1
and
y = -2/3x + 4
(linked)
Look at where they intersect (meet).
(6,0)
I need help at math
Answer:
I) 70°
II) 120°
Step-by-step explanation:
In a regular polygon the sum of all its internal angles is equal to
180° × (n – 2)
where:
n = number of sides of the polygon
Urgent!!! Help guysss
Answer:
mandatory pay raises
Step-by-step explanation:
Tell whether a correlation is likely for the number
of car accidents and the weather. If so, tell whether
there is a causal relationship. Explain your
reasoning.
There is a correlation that is likely for the number of car accidents and the weather as wet pavement and rainfall leads to more accidents.
What is correlation?The size and direction of a relationship between two or more variables are described by the statistical measure of correlation, which is expressed as a number. However, a correlation between two variables does not necessarily imply that a change in one variable is the reason for a change in the values of the other.
Weather-related issues will have an impact on our roads and reduce tire traction. Once more, it is advised to slow down while driving on slick roads, increase our following distance, and take more time to slow down when coming to a stop.
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if you were to integrate around the curve in the opposite direction, what would be the value of the line integral?
both directions can be chosen as positive in this example. The right-hand rule solves these ambiguities. The resultant remains the same at 3.2 *10^4 Tm
It is possible for the line integral to go around the loop in either direction (clockwise or counterclockwise), the vector area dS to point in either of the two normal directions and Ienc, which is the net current passing through the surface S, to be positive in either direction—but both directions can be chosen as positive in this example. The right-hand rule solves these ambiguities.
The resultant remains the same at 3.2 *10^4 Tm
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J'(-7, -3) is the image of J after a translation along the vector <-5, 4>. What are the coordinates of J? Choose from the following:
(12,-1)
(-12, 1)
(-2,-7)
(2,7)
The coordinates of J are (-2, -7) , hence the correct option is C.
What is translation?
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.The translated forms (or the image) seem to be an equivalent size because the original shape, indicating that they're congruent. They’ve merely shifted in one or additional directions.
Main body:
Given that, J’(-7, -3) is the image of J after translation (x, y) → (x - 5, y + 4)
We have, x-5 = -7
x = -2
And, y+4 = -3
y = -7
Hence, We get the coordinates of J are (-2, -7).
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Clayton and Iri purchae admiion to a carnival plu a number of game ticket. Clayton purchaed 10 game ticket and pend $19. 50. Iri purchae 15 game ticket and pend $23. 25. Determine tye cot per game ticket
The combined cost per game ticket is $1.71
In this question we have been given Clayton and Iris purchase admission to a carnival plus a number of game tickets. Clayton purchased 10 game tickets and spend $19. 50.
Iris purchase 15 game tickets and spend $23. 25
We need to determine cost per game ticket.
The total cost of Clayton's game tickets is $19.50 for 10 tickets,
So, by unitary method the cost per ticket is:
= 19.5/10
= $1.95 per ticket.
The total cost of Iri's game tickets is $23.25 for 15 tickets
So, by unitary method the cost per ticket is:
= 23.25/15
= $1.55 per ticket.
The combined cost of all the game tickets is $19.50 + $23.25 = $42.75.
The total number of game tickets purchased is 10 tickets + 15 tickets = 25 tickets.
The combined cost per game ticket would be,
= 42.75 / 25
= $1.71 per ticket.
Therefore, the cost per game ticket = $1.71
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tonya and jill each opened savings accounts. tonya started with $60 and deposited $20 each month. jill started with $20 and deposited $40 each month. if they continue to make deposits at the same rate, when will they have the same amount of money
The month they would have the same amount of money is 2 months.
When would they have the same amount of money?The linear equation that can be used to represent the total amount of money saved by each person is
Total amount saved = amount started with + (amount deposited per month x number of months)
Amount saved by Tonya = $60 + $20m
Amount saved by Jull = $20 + $40m
When they save the same amount of money, the two two above equations would be equal:
60 + 20m = 20 + 40m
In order to determine the value of m, take the following steps:
60 - 20 = 40m - 20m
40 = 20m
m = 40 / 20
m = 2
Substitute for m in the equation that represents the total amount of money saved by Tonya:
$60 + $20(2)
$60 + $40 = $100
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Amy wants to save 500 to buy a TV. She saves each week. The amount, A (in dollars), that she still needs after W weeks is given by the following function . A(W)=500-19W Answer the following questions. (a) If Amy still needs 177 , how many weeks has she been saving?
Answer:
A(W)=500-19W
177W = 500 - 19W
177W + 19W = 500
196W = 500
W = 2.5
Therefore, Amny needs to save for 2.5 weeks
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-lana elf measured the width of 9 xmas presents the total width of all the presents was 135 inches if the presents were the same width ow wide was each present if all presents had different widths what is one possiility for the widths of 9 presents
15 inches is the width of each present.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Lana elf measured the width of 9 Christmas presents.
The total width of all the presents was 135 inches.
If the presents were all the same width then we need to find the width of each present.
w=width.
As given, 9w=135
Divide both sides by 9
w=135/9
w=15
Hence, 15 inches is the width of each present.
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A shipping container will be used to
transport several 150-kilogram crates
across the country by rail. The greatest
weight that can be loaded into the
container is 27500 kilograms. Other
shipments weighing 6800 kilograms have
already been loaded into the container.
Write and solve an inequality which can
be used to determine x, the number of
150-kilogram crates that can be loaded
into the shipping container.
Answer:
x=138
Step-by-step explanation:
The question is a high school Mathematics problem. It involves using inequalities to solve a practical problem about a shipping container's weight limit. The answer found was that a maximum of 138 crates can be added to the container.
Explanation:In this Mathematics problem, we have a shipping container that can hold a maximum weight of 27500 kilograms and there are already shipments totaling 6800 kilograms inside. We want to find out how many 150-kilogram crates (let's call this number 'x') can be added to the container without exceeding the maximum allowable weight.
Firstly, we build an inequality. The total weight of the container should not exceed 27500 kilograms, so we have:
6800 (the weight of the already loaded shipments) + 150*x (the weight of the x crates) ≤ 27500
This simplifies to:
150*x ≤ 20700 (because 27500-6800=20700)
Finally, to solve the inequality for 'x', divide throughout by 150:
x ≤ 138 (because 20700/150=138)
So, 138 is the maximum number of 150-kilogram crates that can be loaded into the shipping container without violating the weight constraint.
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-10.5 + m/ 11.57 = -2.748
Solve for M
Answer: 89.69
Step-by-step explanation:
-10.5 + m/ 11.57 = -2.748
First, we add 10.5 on both sides
m/ 11.57 = 7.752
Then we multiply both sides by 11.57
m = 89.69064, or we can simplify it be 89.69
Each nack cot $0. 75 , and the amount wa charged to Dave’ account. What amount hould be on Dave’ account for nack lat month?
If Dave bought 5 packs of snacks, then the amount on Dave's account for snack last month should be $3.75.
Dave purchased 5 packs of snacks last month and the cost of each pack was $0.75. The total cost of the snacks was charged to Dave's account, so his account balance should reflect the total cost of the snacks. In this case, Dave purchased 5 packs of snacks, so the total cost would be $3.75 ($0.75 x 5). Therefore, Dave's account balance should show $3.75 for the snack purchases last month. This amount is the sum of the individual cost of each snack pack, multiplied by the number of packs Dave purchased. In this case, the amount on Dave's account for snack last month should be $3.75.
5 packs of snacks x $0.75 = $3.75
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Theresa is making accessories for the soccer team. She uses 759.56 inches of fabric on headbands for 31 players and 3 coaches. She also uses 267.53 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
The amount of fabric used on a headband and wristband for each player is $30.97.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
As per the given,
She uses 759.56 inches of fabric on headbands for 31 players and 3 coaches.
Per person = 759.56/(31 + 3) = $22.34
As per the given,
267.53 inches of fabric on wristbands for just the players.
Per player = 267.53/31 = $8.63
Total material of per player = $22.34 + $8.63
⇒ $30.97
Hence "Each player's wristband and headband cost $30.97 worth of cloth".
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Use Descartes' Rule of Signs to identify the number of positive real roots and negative real roots for the polynomial function.
P(x)=xthree+5x2-3x+7 PLS HELP ME ILL MARK YOU BRAINLIEST 20 POINTS
Answer:
the number of positive real roots is one
the number of negative real roots is one
I not sure I was right
Step-by-step explanation:
[tex]x^{3} +5x^{2} -3x+7[/tex]
it changed the sign in the second to the third term，so,it was one root
[tex]-x^{3} +5x^{2} +3x+7[/tex]
Change the coefficients of odd items, and the signs of the first to second items change, so there is also a root.
Answer:
Maximum of 2 positive real rootsExactly 1 negative real rootStep-by-step explanation:
Descartes' Rule of Signs tells us the maximum number of positive and negative real roots in a polynomial function.
Positive root case
[tex]\begin{aligned}p(x)&=(x)^3+5(x)^2-3(x)+7\\ &=+x^3+5x^2-3x+7\end{aligned}[/tex]
Check the signs of the coefficients. As there are 2 sign changes, the maximum possible number of positive roots is 2.
However, as some pairs of roots may be complex, count down by two's to find the complete list of the possible number of roots.
So there may be as many as 2 real roots or there might also be no real roots (zero).
Negative root case
[tex]\begin{aligned}p(-x)&=(-x)^3+5(-x)^2-3(-x)+7\\&=-x^3+5x^2+3x+7\end{aligned}[/tex]
Check the signs of the coefficients. As there is one sign change, the maximum possible number of negative roots is 1. We can't count down by two's since this would give us a negative number. Therefore, there is exactly 1 negative root.
Note: There is one real negative root of the given function at x ≈ -5.74 and two complex roots at x = 0.37 + 1.04i and x = 0.37 - 1.04i.
m/STM = 31x - 3
m/MTU = 20x + 5
m/STU = 155 degrees
Find m/MTU.
The Angle ∠MTU from the figure is 65°
What are Angles?The study of shapes and their measurements falls under the umbrella of geometry, a subfield of mathematics. It also emphasizes how the shapes are arranged in relation to one another and their spatial characteristics. We are aware that geometry is divided into 2D and 3D categories. All geometrical shapes are first created by the intersection of points, lines, rays, and plane surfaces. The distance measured between two lines is referred to as a "Angle" when the rays or lines converge at a single point.
Calculation:Given,
∠STM=31X-3;
∠MTU=20X+5;
∠STU=155°;
From the figure we can say that
∠STU= ∠STM+∠MTU;
⇒ 155=31x-3+20x+5;
⇒155=51x+2;
⇒x=3;
Now substitute x in ∠MTU;
⇒∠MTU=20(3)+5=65°
The Angle ∠MTU from the figure is 65°
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