The value of the double integral ∬DyexdA is approximately 358.80 (correct to two decimal places).
How to evaluate the double integral ∬DyexdA over the triangular region D?To evaluate the double integral ∬DyexdA over the triangular region D, we need to set up the integral limits and then integrate in the correct order. Since the region is triangular, we can use the limits of integration as follows:
0 ≤ x ≤ 6
0 ≤ y ≤ (4/6)x
Thus, the double integral can be expressed as:
∬DyexdA = ∫₀⁶ ∫₀^(4/6x) yex dy dx
Integrating with respect to y, we get:
∬DyexdA = ∫₀⁶ [(exy/y)₀^(4/6x)] dx
= ∫₀⁶ [(ex(4/6x)/4/6x) - (ex(0)/0)] dx
= ∫₀⁶ [(2/3)ex] dx
Integrating with respect to x, we get:
∬DyexdA = [(2/3)ex]₀⁶
= (2/3)(e⁶ - 1)
Therefore, the value of the double integral ∬DyexdA is approximately 358.80 (correct to two decimal places).
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Marco paid $12 for 3jump ropes. If each jump rope costs the same amount, how much does 1 jump rope cost? Write and solve an equation.
Answer:
each jump rope costs 4 dollars
12÷3=4
Answer:
$4
Step-by-step explanation:
Divide: 12 divided by 3=4
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6x² + 4x / 6x² + 13x + 6 ( please show work )
Answer: 6x+4x +13x+6 equal
he airplane Li’s family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane, which inequality can be used to determine how many more people can board?
96 + x Less-than-or-equal-to 149
96 + x Greater-than-or-equal-to 149
96 + x > 149
96 + x < 149
This is the same as saying "96 + x less than or equal to 149"
====================================================
Explanation:
We start with 96 people already on board. We add on x more people. The x is a placeholder for a positive whole number.
In total, we have 96+x people on the plane. This total must not exceed the max capacity of 149. In other words, the largest value of 96+x is 149.
Since 96+x can be 149 or smaller, we can say 96+x ≤ 149
Answer:
The answer is A
Step-by-step explanation:
I got it right on edge
GIVING BRAINLIEST IM TIMEDDDD
Answer:its the 2nd one
Step-by-step explanation: i remeber because i took this quiz
[tex] \sqrt{ x} = \sqrt{2} + 1 \: then \: x = [/tex]
helpppp asap
edit:help guys i have examm
Answer:
3+2√2Step-by-step explanation:
Given the expression
√x = √2 + 1
To get x, we will have to square both sides
(√x)² = (√2 + 1)²
x = (√2 + 1)(√2 + 1)
x = √4+√2+√2+1
x = 2+2√2+1
x = 3+2√2
Hence the value of x is 3+2√2
Find the equation of the line that has a y-intercept of 1 and is perpendicular to the graph of the line 2x + y = 4.
Answer:
y = 1/2x + 1
Step-by-step explanation:
To be perpendicular to a line is to have the product of the slopes be -1. First, we have to put 2x + y = 4 into slope-intercept form to find the slope of the line. We do this by subtracting 2x on both sides to get that y = -2x + 4. Now, the number that multiplied by -2 is equal to -1 is 1/2, so that is the slope of our line. We can substitute these values into the slope-point equation to find the equation. We would get that y - 1 = 1/2 * (x - 0). This simplifies to y = 1/2x + 1.
what is the least common multiple (LCM) of 7 and 8 plz help
Answer:
56
Step-by-step explanation:
trust me!!
Answer:
The LCM of 7 and 8 is 56
Step-by-step explanation:
simplify the expression. 7x^2+3-5(x^2-4) edguneity
Answer:
2x^2+23.
Step-by-step explanation:
Combine like terms.
This expression simplified is 2x^2+23.
Hangi sayının 10 eksiğinin 7 katı 70'tir ?
will mark brainliest
(2x+1)+(3x-5)=5x-4 you just have to try some of them out and see which ones work
can someone help me how to calculate 15% of R200
Answer:
30
Step-by-step explanation:
formula :15÷100×200
Which expression can be used to find the volume of the sphere? A sphere with radius 9 inches. V = four-thirds pi r squared = four-thirds (3.14) (9) squared V = four-thirds pi r cubed = four-thirds (3.14) (9) cubed V = four-thirds pi r cubed = four-thirds (3.14) (18) cubed V = four-thirds pi r cubed = four-thirds (3.14) (18) cubed Mark this and retur
Answer:
V = four-thirds pi r cubed = four-thirds (3.14) (9) cubed
Step-by-step explanation:
Please help with this it is due today
Answer:
24
Step-by-step explanation:
What is the slope of the linear equation represented by the table. NEEDED PLSS
Answer:28/4
Step-by-step explanation:
Change of y over the change of x.
Y is +28
X is +4
what is the factored form of 4(3x + 12) + 4?
Answer:
12x + 52
Step-by-step explanation:
Distribute.
(4 • 3x + 4 • 12) + 4
12x + 48 + 4
12x + 52
Find the area of the shaded segment of the circle
Answer:
≈ 0.8 m²
Step-by-step explanation:
________________________________________________
FORMULA FOR FINDING AREA OF SEGMENT :-
[tex]A = r^{2} [\frac{\alpha }{360} \times \pi - (\sin \frac{\alpha }{2} \times \cos \frac{\alpha }{2} )][/tex]
Where :-
A = Area of the segmentr = Radius of the circleα (alpha) = Angle subtended by arc at the center________________________________________________
Angle subtended by the minor arc at the center = 360° - 300° = 60°
Radius of the circle = 3 m
Area of the segment =
[tex]3^{2} [ \frac{60}{360} \times \pi - (\sin \frac{60}{2} \times \cos \frac{60}{2})][/tex]
[tex]= 9[\frac{1}{6} \times \pi - (\sin 30 \times \cos 30)][/tex]
[tex]= 9[\frac{\pi }{6} - (\frac{1}{2} \times \frac{\sqrt{3} }{2} )][/tex]
[tex]= 9[\frac{\pi }{6} - \frac{\sqrt{3} }{4} ][/tex]
[tex]= 9[\frac{2\pi - 3\sqrt{3} }{12} ][/tex]
[tex]= \frac{9}{12} \times (2\pi - 3\sqrt{3})[/tex]
( Assuming √3 = 1.73 & π = 3.14 )
[tex]= \frac{3}{4} \times (6.28 - 5.19)[/tex]
[tex]= 0.75 \times 1.09[/tex]
[tex]= 0.8175[/tex]
∴ Area of the segment ≈ 0.8 m² (rounding to the nearest tenth)
7 The table below shows the population of
different regions in 1985 and in 2005.
Place
Entire world
China
Population in Population
1985
in 2005
4.9 X 109 6.4 X 109
1.1 X 109 1.3 X 109
7.6 x 108 1.1 x 10
2.4 x 108 3.0 X 108
8.9 X 106 7.2 X 106
India
United States
Bulgaria
a Determine the ratio of the population
of the entire world to that of China in
2005, giving your answer to the nearest
integer
Answer:
In this table the graphic shows that...
Step-by-step explanation:
...the population increased 5,9 x 10 6.
The ratio is 64:13
What is ratio?Ratio is the comparison of two quantities which is obtained by dividing the first quantity by the other. If a and b are two quantities of the same kind and with the same units, such that b is not equal to 0, then the quotient a/b is called the ratio between a and b. Ratios are expressed using the symbol of the colon (:). This means that ratio a/b has no unit and it can be written as a : b
Given data:
Population of china in 2005 =1.3*10^9
population of entire world in 2005 = 6.4*10^9
Now,
ratio= 6.4*10^9/ 1.3*10^9
ratio= 64/13 or 64:13
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The number of different types of drinks that a barista makes in one week is related to the cost of the drink. A collection of data on the cost of
a particular drink and the number of that drink made over the course of the week is shown in the table below, where x represents the cost of
the drink in dollars, and y represents the number of drinks made at each cost.
X
у
97
84
1.85
2.10
2.45
3.25
66
70
3.50
65
58
3.65
4.15
51
4.45
40
44
4.70
5.10
27
Using a residual plot determine if the following model is a good fit for the data.
y = -11.52 + 120.45
ОА No. The model is not a good fit because the residual plot has a random pattern,
ОВ. No. The model is not a good fit because the residual plot does not have a random pattern
OcYes. The model is a good fit because the residual plot has a random pattern.
OD Yes. The model is a good fit because the residual plot does not have a random pattern.
Reset
Next
Answer:
Step-by-step explanation:
b
Answer:
it's C bro i just took it
I need help on this question
Answer:
The square on the outside of the triangles means the angle is 90. You need to find the base and the hight the divide by 2
Step-by-step explanation:
find x or solve for x
Answer:
[tex] \huge \boxed{ \boxed{x = 8}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:rectangleequationPEMDAStips and formulas:every angle of a rectangle is 90°let's solve:[tex]step - 1 : define \\ 12x - 6 = 90[/tex]
[tex]step - 2 : solve[/tex]
[tex] \tt add \: 6 \: to \: both \: sides : \\ \tt12x - 6 + 6 = 90 + 6 \\ \tt 12x = 96[/tex][tex] \tt divide \: both \: sides \: by \: 12 : \\ \tt \frac{12x}{12} = \frac{96}{12} \\ \tt \therefore x = 8[/tex]how many 1/5s are in 20?
Answer:
There are 4
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
A home meal delivery business delivers 34.5 pounds of food each day. How many ounces of food will they deliver in 4 days? (1 lb.= 16 oz) fill in the blank they will deliver ______ ounces of food in 4 days.
Answer:
They will deliver 2208 ounces of food in 4 days.
Step-by-step explanation:
Multiply 34.5 by 16 to get the ounces and got 552. Then multiply 552 by 4 and you'll get the answer.
:))
A jungle has 578 monkeys.
It also has 153 birds.
How many more monkeys than birds are there?
Monkeys
X Х $ ?
Answer:
425 monkeys
Step-by-step explanation:
Subtract the number of birds from the number of monkeys to find the difference between the two.
Fallon collected data for her favorite TV show. She recorded the number of viewers and the number of weeks since the show premiered. With the data in hand, she created this scatter plot and drew a line of best fit
What are the slope and the y-intercept of the line of best fit?
Answer:
On the best-fit line for the points {(2,3) (5,7) (1,2) (4,8)}, one point is (0.5,1.25) and another is the y-intercept (0,0.5). Use the formula for the slope of a line, m = (y2 - y1)/(x2 - x1), to find the slope
Step-by-step explanation:
Hope it help
Mark me as brainliest
Answer:
Slope is (6, 10) and (0, 12). The y-intercept is 12.
Step-by-step explanation:
I had this question on Edmentum.
You have 49 dimes and quarters. You have 7 more quarters than dimes.How much money you have in quarters and dimes
Answer:
Step-by-step explanation:
Because you have seven more quarters than dimes, you have 28 quarters, and 21 dimes, which equals 49 dimes and quarters.
You have $9.10
I hope this helps!
Thanks!
how can you tell the difference between circumcenter and incenter?
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $35 each week for food, clothes and movie tickets. How many weeks can Keith withdraw money from his account?
Which equation correctly uses the law of cosines to solve for the length s?
Answer: Choice D
s^2 = 9^2 + 10^2 - 2(9)(10)cos(100)
==========================================================
Explanation:
Consider the pythaorean theorem
a^2 + b^2 = c^2
which is the same as saying
c^2 = a^2 + b^2
If we tack on "-2ab*cos(C)", then we end up with
c^2 = a^2 + b^2 - 2ab*cos(C)
which is one form of the law of cosines. The side c is opposite angle C, and the two are on opposite sides of the equation. The 'a's and 'b's are on the right side with the angle C.
Note if C = 90 degrees, then cos(C) = cos(90) = 0 which means the whole "-2ab*cos(C)" term goes to 0 and we'd be left with the pythagorean theorem again.
In this case, we replace c with s, replace 'a' with 9, replace b with 10, and C with 100.
Answer:
Option (4)
Step-by-step explanation:
Cosine rule states,
(UT)² = (SU)² + (ST)² - 2(SU)(ST)cos(∠UST)
Here, UT is the opposite side of angle UST and two sides SU and ST are the adjacent sides.
∠UST is the included angle between SU and ST.
By this formula,
s² = 9² + 10² - 2(9)(10)cos(100°)
Therefore, Option (4) will be the answer.
Simplify: i^69
Please help fast
Answer: it's just "i"
Step-by-step explanation:
8n + ? = 0
A.) - 8/n
B.) 8/n
C.) 1/8n
D.)-8n
D is the correct answer:)