PLEASE HELP!!! I JUST NEED A STEP-BY-STEP!!!!!!

HINT: integrate with respect to y first (it is an easier approach)
∫∫5x sec^2(xy) dA; R={(x,y): 0 ≤ x ≤ π/6 , 0 ≤ y ≤ 2

[Answer] -5/2 ln(1/2)

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]=5\displaystyle\int_{0}^{\pi/6}dx\displaystyle\int_{0}^{2}x\sec^2(xy)dy\\=5\displaystyle\int_{0}^{\pi/6}dx\displaystyle\int_{0}^{2}\sec^2(xy)d(xy)\\=5\displaystyle\int_{0}^{\pi/6}dx\tan(xy)|_{y=0}^{y=2}[/tex]

[tex]=5\displaystyle\int_{0}^{\pi/6}\tan(2x)dx\\=-\frac{5}{2}\ln\cos(2x)|_{0}^{\pi/6}\\=-\frac{5}{2}[\ln\cos(\pi/3) - \ln\cos(0)]\\[/tex]

[tex]=-\frac{5}{2}\ln{\frac{1}{2}[/tex]


Related Questions

How to solve [tex]\frac{dy}{dx} =2|x|[/tex] ?

Answers

dy= 2|x|dx

integral dy= integral 2|x|dx

y= X² + c

Whcih choice best describes the group this shape belongs in, based on the kinds of sides and angles it has? Angela chose A as the correct answer. How did she get that answer?

Answers

The shape in the figure has 6 sides

The choice that describes the group the shape belongs to is (a) parallel sides, acute angles

How to determine the group of the shape?

From the figure, we have the following highlights

The shape has 6 sidesThe direct opposite sides are equalThe direct opposite sides are parallelThe measure of angles between adjacent sides are less than 90 degrees i.e. acute angles

The above highlight mean that:

The shape belongs to parallel sides, acute angles group of shapes

Hence, Angela's conclusion is correct

Read more about polygons at:

https://brainly.com/question/1592456

What the line measures

Answers

What is this question referring to

For questions 3 and 4, you will be answering by filling in the blanks. Please be aware that your answer must include any commas or decimals in their proper places in order to be correct. The dollar signs have been provided. For example, if the answer is $1,860.78, then you will enter into the blank 1, 860.78. Do not place any extra spaces between numbers, commas, or decimal places. Round any decimals to the nearest penny when the answer involves money, so that $986.526 would be typed into the blank as 986.53 and $5,698.903 would be typed into the blank as 5,598.90. You will need to use the labor statistics document to answer the following questions.
A. What is your weekly median income if you are a female with an advanced degree?
B. What is your yearly median income if you are a male with an associate's degree?
C. What is your yearly median income if you are a female with an associate's degree?

Answers

Based on the given statistics, the weekly median income for a female with an advanced degree would be $901.

The yearly median income for a male with an associate degree would be $36,432.

The yearly median income for a female with an associate degree would be $27,744.

What is the weekly median income for a female with an advanced degree?

An advanced degree would be a postgraduate degree like a masters so the weekly median income would be $901.

What is the yearly median income for a male with an associate degree?

This can be found as:

= Weekly median income x 4 weeks in month x 12 months in year

= 759 x 4 x 12

= $36,432

What is the yearly median income for a female with an associate degree?

= Weekly median income x 4 weeks in month x 12 months in year

= 578 x 4 x 12

= $27,744

Find out more on median weekly incomes at https://brainly.com/question/3318597.

Answer:

Answer above is wrong

Step-by-step explanation:

Can't tell you how to get the answers but these are correct after i failed from the person above.

3. 1,323

4. 49,452.00

5. 37,284.00

I need help with this​

Answers

Answer:

The correct answer is B: 3 cubic feet.

Step-by-step explanation:

If you want to find the volume of a rectangular prism, you need to know the length, width, and height. The first rectangular prism is a cube with a length of 3 feet, so the volume of the figure would be [tex]3^{3}=27 ft^{3}[/tex]. The second rectangular prism has a length of 3 feet, a width of 2 feet, and a height of 4 feet, so the volume of the prism would be 3 × 2 × 4 = [tex]24 ft^{3}[/tex]. Now that you know the 2 volumes, you need to subtract the volumes in order to find the difference, which is 27 - 24 = 3 [tex]ft^{3}[/tex].

Joe collects toy cars and marbles. Whenever he collects 4 cars, he also collects 12 marbles. How many marbles does he collect after collecting 20 cars? What rule is being used?

Answers

Answer; 60

Step-by-step explanation:

solution:

here,

4 cars = 12 marbles

1 car = 12/4. = 3 marbles

then,

20 cars = 3(20) marbles

= 60 marbles

We can make this into a fraction  4/12 = 20/x

Then, we will solve for x

4x = 240    cross multiply

x = 60

Joe collects 60 marbles after collecting 20 cars.

The Multiplicative Inverse Property is being used.

May someone please help me with this?

Answers

Answer:

Step-by-step explanation:

First, calculate the angle of FDE (assume it as α) by:

[tex]EF=\frac{\alpha}{360}\times(2\pi)(DE) \rightarrow 2\pi = \frac{\alpha}{360}(2\pi)(6)[/tex]

[tex]\alpha=60^{0}[/tex]

So, use this angle to calculate the area of FDE (unshaded region):

[tex]A_{US}=\frac{\alpha}{360}\times(\pi)(DE)^{2}=\frac{60}{360}(\pi)(6^{2})=6\pi[/tex]

So, the shaded region can be determined by:

[tex]A_{S}=A-A_{US}=\pi(DE)^{2}-6\pi=36\pi-6\pi=30\pi=\frac{60}{2}\pi[/tex]

I need help with this question?

Answers

Answer:

38.5 cm²

Find area of the full rectangle:

Length * Width

6 * 7

42 cm²

Find area of the missing triangle

1/2 * base * height

1/2 * 7 * 1

3.5 cm²

Area of the figure:

42 - 3.5

38.5 cm²

What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.

In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.

Answers

Answer:

volume = 33.5 in³

Step-by-step explanation:

Formula:

[tex]\sf volume \ of \ a \ cone=\dfrac13\pi r^2h[/tex]

Given:

r = 2 inh = 8 inπ = 3.14

Substituting the given values into the formula:

[tex]\sf \implies volume=\dfrac13 \times 3.14 \times 2^2 \times 8[/tex]

                  [tex]=\dfrac13 \times 3.14 \times 4 \times 8[/tex]

                  [tex]\sf =33.49333333...[/tex]

                  [tex]\sf =33.5 \ in^3 \ (nearest \ tenth)[/tex]

Graph the circle (x+5)^2+(y+2)^2=4

Answers

(x+5)² + (y+2)² = 4

(x - x0)² + (y - y0)² = r²

with circle center point (x0 ; y0) and r for circle radius

so you have to place the point (- 5 ; - 2) and graph the circle with r = 2

See the picture below and answer for 50 points and brainliest

Answers

Answer:

Non-linear equations:

[tex]y=x^2 +2x-3[/tex]

[tex]3y=2^x[/tex]

Step-by-step explanation:

Linear equation: y = mx + b

Therefore, a linear equation has 2 variables that have no exponents.

So the non-linear equations are:

[tex]y=x^2 +2x-3[/tex]  (this is a quadratic equation - polynomial with degree 2)

[tex]3y=2^x[/tex] (this is an exponential equation)

Can someone please help me

Answers

Answer:

BCDE

Step-by-step explanation:

This week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday. Next week you practice for the same number of hours. What is the total number of hours you will have practiced over these six days?
Which expression correctly shows how to solve this problem?

A. 3 1/4 + 2 1/2 + 1
B. (3 1/4 + 2 1/2) + (3 1/4 + 2 1/2)
C. (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1


Thank You so much!!!!

Answers

Answer:

C. (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1)

Step-by-step explanation:

Since, this week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday.

And, next week you practice for the same number of hours.

Same number = (3 1/4 + 2 1/2 + 1)

Thus, [C] (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1) is correct.

~Lenvy~

Answer:

[C} [tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]

Step-by-step explanation:

Given:

this week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday.

Next week you practice for the same number of hours.

To Find:

What is the total number of hours you will have practiced over these six days?

Which expression correctly shows how to solve this problem

Solve:

Knowing that you practice for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday. Next week you practice the same. Thus, we can know that [C} [tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex] is the correct answer.

Solution if needed.

[tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]

[tex]=\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]

= [tex]\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(\frac{13}{4}+2\frac{1}{2}+1\right)[/tex]

[tex]=\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(\frac{13}{4}+\frac{5}{2}+1\right)[/tex]

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

[tex]=\frac{27}{4}+\left(\frac{13}{4}+\frac{5}{2}+1\right)[/tex]

[tex]=\frac{27}{4}+\frac{27}{4}[/tex]

[tex]=\frac{27}{2}[/tex]

[tex]=13\frac{1}{2}[/tex]

Solution ⇒ [tex]=13\frac{1}{2}[/tex]

[RevyBreeze]

Tadeo is a beekeeper. The table shows the weekly number of bees producing honey in a new hive. Which expression gives the number of bees in week 12?​

Answers

The exponential equation that gives the number of bees in week 12 is of:

[tex]y = 4(3)^{11} = 708588[/tex]

What is an exponential function?

It is modeled by:

[tex]y = ab^x[/tex]

In which:

a is the initial value.b is the rate of change.

In this problem, considering that the initial week is the first, and the value triples every week, the expression for the number of bees after x weeks is given by:

[tex]y = 4(3)^{x - 1}[/tex]

Hence, after 12 weeks, the expression is:

[tex]y = 4(3)^{11} = 708588[/tex]

More can be learned about exponential equations at https://brainly.com/question/25537936

Answer:

4 • 3^11

Step-by-step explanation:

Find the volume. Please help! Thanks!
hehe

Answers

Volume of a Square Pyramid: 1/3 x length x width x height

Length = 2

Width = 2

Height = 3

Volume = 1/3 x 2 x 2 x 3

Volume = 1/3 x 4 x 3

Volume = 1/3 x 12

Volume = 4

Volume = 4 cm^3

Hope this helps!

Find the equation of the line that passes through points a and B. A(1 ,7) B(-3,-1)

Answers

Answer:

well i wrote it in paper nothing to explain it's ez

An oblique cylinder with a base of radius 2 units is shown. The top
of the cylinder can be obtained by translating the base by the directed line segment
AB which has length 16 units. The segment AB forms a 30° angle with the plane of
the base. What is the volume of the cylinder?

Answers

The volume of the cylinder is the amount of space on it

The volume of the oblique cylinder is 174.19 cubic units

How to determine the volume of the cylinder?

The given parameters are:

AB = 16 units

Radius (r) = 2 units

[tex]\theta = 30^o[/tex]

Start  by calculating the height (h) using:

[tex]h = 16 * \cos(30^o)[/tex]

This gives

[tex]h = 13.86[/tex]

The volume of the cylinder is then calculated as:

[tex]V = \pi r^2 h[/tex]

This gives

[tex]V = 3.142 * 2^2 * 13.86[/tex]

[tex]V = 174.19248[/tex]

Approximate

[tex]V = 174.19[/tex]

Hence, the volume of the oblique cylinder is 174.19 cubic units

Read more about volumes at:

https://brainly.com/question/1972490

A store receives a shipment of boxes of tea. The total mass shipment is 6kg.

-each box has a mass of 0.040 kg.
-boxes of green tea make up 18% of the shipment.

How many boxes of green tea were in the shipment?
A. 7
B. 27
C. 58
D. 108

Answers

Answer: I think that the answer would be b or 27Step-by-step explanation: I did the math problem in my head.

A thief steals an atm card and must randomly guess the correct five-digit pin code from a 8​-key keypad. repetition of digits is allowed. what is the probability of a correct guess on the first​ try?

Answers

Answer:

The probability of a correct guess on the first try is 0.024%.

Since a thief steals an atm card and must randomly guess the correct four -digit pin code from a 8 -key keypad, and repetition of digits is allowed, to determine what is the probability of a correct guess on the first try the following calculation must be performed:

8 x 8 x 8 x 8 = X

8 ^ 4 = X

4096 = X

1/4096 = X

0.000244140625 = X

0.000244140625 x 100 = 0.024%

Therefore, the probability of a correct guess on the first try is 0.024%

Step-by-step explanation:

A group of people are fundraising, and each person raises a certain amount of money for every mile they walk. Each person's fundraising is represented below using d for the dollars that person raises and w for the miles that person walks. Select all the representations that can be described by the equation d = 2w.

Answers

Answer:

B, C, E

Step-by-step explanation:

According to coordinates on the graphs and numbers in the tables we have the following relationship:

A) d = 1/2wB) d = 2wC) d = 2wD) d is not proportional with w since 12/6  ≠ 18/10  ≠ 20/12E) d = 2w

As we see B, C and E have same relationship, matching the target.

Step-by-step explanation:

hope it's help you this answer

Please help as soon as possible

Answers

Answer:

possibly (9, 9) (9, 5) (5, 9)

A high-altitude spherical weather balloon expands as it rises due to the drop in atmospheric pressure. Suppose that the radius r increases at the rate of 0.03 inches per second and that r=48 inches at time t=0. Determine a function that models the volume V of the balloon at time t and find the volume at t=300 seconds.

Answers

Considering a linear function for the radius, we have that:

The volume of the sphere is modeled by [tex]V(t) = \frac{4\pi(0.03t + 48)^3}{3}[/tex].After 300 seconds, it is of 775,735 in³.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.

What is the volume of a sphere?

The volume of a sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In this problem, radius r increases at the rate of 0.03 inches per second and that r=48, hence it is represented by the following linear function:

[tex]r(t) = 0.03t + 48[/tex]

Thus, the volume of the sphere is given by:

[tex]V = \frac{4\pi r(t)^3}{3}[/tex]

[tex]V(t) = \frac{4\pi(0.03t + 48)^3}{3}[/tex]

After 300 seconds, the volume in cubic inches is given by:

[tex]V(300) = \frac{4\pi(0.03(300) + 48)^3}{3} = 775735[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

CHOICES -> TRUE OR FALSE


Answers

Answer:

1.True

2.false

3.True

4.True

5.false

6.false

7.false

8.True

9.True

10.false

Step-by-step explanation:

10,000cm^2=1m^2

HELP ME ON TANGENTS, ARCS AND CHORDS! 1

Answers

The answer is 0 because 0 to the 4 is 0

How is the graph of log (x + 3) translated from the graph of log x?

shifted down 3 units

shifted left 3 units

shifted up 3 units

shifted right 3 units

Answers

shifted left 3 units

Graphed Below:

red line: log (x + 3)blue line:  log (x)

can someone pls answer the UNANSWERED questions. (the ones that dont have the blue dot on them) WILL MARK BRAINLIEST

Answers

Answer:

7.B

9.A

Step-by-step explanation:

Gcf of 24 and 36

is 12

a^2 and a is a

180-50

=130

acute mean less than 90 degrees

180-89=41

89 and 41 are acute

1 is also wrong

Answer:

  7.  B 2·2·3·a

  9.  B 41°

Step-by-step explanation:

You want the greatest common factor of 24a² and 36ab, and you want the smallest integer-valued angle in an acute triangle with one angle 50 degrees.

7. GCF

The factors of 24a² are 2·2·2·3·a·a.

The factors of 36ab are 2·2·3·3·a·b.

The factors these lists have in common are 2·2·3·a, matching choice B.

9. Angles

If one angle of a triangle is 50°, the sum of the other two angles must be ...

  180° -50° = 130° . . . . . . sum of angles B and C

One of these angles will be the smallest it can be only if the other is the largest it can be. The largest integer acute angle is 89°, so the smaller angle will be ...

  130° -89° = 41°

The smallest possible angle in the acute triangle is 41°.

__

Additional comment

8. A dodecagon has 12 lines of symmetry, 6 through opposite vertices, and 6 through opposite sides. The correct choice for 8 is A.

<95141404393>

What is the area, in square inches, of the isosceles trapezoid below?

Answers

the area of the trapezoid is 53.56

Kaya rented a limousinefor prom. There was a one-time charge of $100 plus an hourly rate of $50 per hour. Her
total cost for the night was $300. How many hours did she rent the limo?

Answer using 2 step equations and X as variable

Answers

Let X be number of hours rented and C be total cost.
C = 50X + 100
Since C = 300,
50X + 100 = 300
50X = 200
X = 4 hours
300=100+50x
x=4
She rented the limo for 4 hours($200) with the one time charge of $100

Data Analysis 7th grade math
Laura kept a record of the number of minutes she spent at the gym this week.

Day Minutes
Monday 60
Tuesday 70
Wednesday 62
Thursday ?

How many minutes should she spend at the gym on Thursday in order to average 65 minutes a day for four days.

________ Minutes

Answers

You would add 60+70+62=192, then you would need to figure for x. You would take 65 and multiply it by 4. I got to make it average, 78.

she spends 68 minutes at the gym on Thursday in order to average 65 minutes a day for four days.

What is Average?

The mean (also known as the arithmetic mean, which varies from the geometric mean) of a dataset is calculated as the sum of all values divided by the total number of values. This measure of central tendency is usually referred to as the "average".

Granted, Laura recorded how long she spent at the gym each day this week.

Let "x" represent the time she spent working out on Thursday.

Since,

Average = (sum of values)/ count of values

Thus, in our case

Average = (60 +70 +62 +x)/4

average is 65 minutes a day for four days.

65 = 192 +x)/4

192 +x = 260

x = 260-192

x = 68

Therefore, she spends 68 minutes at the gym on Thursday in order to average 65 minutes a day for four days.

Learn more about Average here:

https://brainly.com/question/521501

#SPJ6

2. Find the length of AD if the length of AB is 14 units, the length of BC is 5 units, and the length of CD is 8 units,​

Answers

Answer: sqrt(285)

Step-by-step explanation:

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