CAN SOMEBODY HELP ME SOLVE THIS EQUATION

The average value of f(x, y) over the given region (I'll call it T) is

[tex]\dfrac{\displaystyle \iint_T f(x,y) \, dA}{\displaystyle \iint_T dA}[/tex]

In other words, it's the ratio of the integral of f(x, y) over the region to the area of the region.

The set T can be expressed as

[tex]T = \left\{(x,y) \,:\, 0\le x\le9 \text{ and } 0\le y\le -\dfrac29x+x\right\}[/tex]

Since it's a triangle, the denominator is easily computed to be

[tex]\displaystyle \iint_T dA = \frac12 \times 9 \times 2 = 9[/tex]

In the numerator, we have

[tex]\displaystyle \iint_T (10x+3y) \, dA = \int_0^9 \int_0^{-2x/9+2} (10x+3y) \, dy \, dx \\\\ = \int_0^9 \left(\frac32\left(-\frac{2x}9+2\right)^2+10x\left(-\frac{2x}9+2\right)\right) \, dx = 288[/tex]

and hence the average value is 288/9 = 32.

Answer:

(4x)

2

=16×x

2

Step-by-step explanation:

hope it's help

Answer:

15500

Step-by-step explanation:

Solution

here

price of tv after discount: 13950

discount : 10%

now,

[tex]~~~~~~ \stackrel{\textit{\Large 4.8\% semiannually}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1000\\ r=rate\to 4.8\%\to \frac{4.8}{100}\dotfill &0.048\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &1 \end{cases}[/tex]

[tex]A=1000\left(1+\frac{0.048}{2}\right)^{2\cdot 1}\implies \boxed{A\approx 1048.58}~~\textit{\Large \checkmark} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \stackrel{\textit{\Large 4.7\% quarterly}}{\textit{Compound Interest Earned Amount}}[/tex]

[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1000\\ r=rate\to 4.7\%\to \frac{4.7}{100}\dotfill &0.047\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &1 \end{cases} \\\\\\ A=1000\left(1+\frac{0.047}{4}\right)^{4\cdot 1}\implies \boxed{A\approx 1047.83}[/tex]

Answer:

1) right angled triangle

2) isosceles triangle

3) equilateral triangle

4) scalen triangle

5) isosceles triangle

6) right angled triangle

Answer:

$23.85

Step-by-step explanation:

Linear foot- sold by the lenght.

Therefore you dont worry about the 3.2 feet wide

So now we multiply 10.6 * 2.25

which is...

$23.85

Answer:

3/5

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

We can put an actual number to this just for easier purposes

So let's say there was 100 oranges at the grocery store

Mom brought home 1/4 which is 25 oranges

100 * [tex]\frac{1}{4}[/tex] = 25

So now we have 25 oranges

Then, Shyla ate 2/5 of the oranges

So we want 2/5 of the 25 left oranges

25 * [tex]\frac{2}{5}[/tex] = 10

And 10 out of 100 is:

1/10

The easier way to do it is to just multiply the fractions together:

[tex]\frac{1}{4} * \frac{2}{5} = \frac{2}{20} = \frac{1}{10}[/tex]

If you have any questions feel free to comment and if this helped a brainliest would be appreciated :)

Answer:

Length= 8, Width= 4

Step-by-step explanation:

Say the length is l, and the width is w.

We can set l, the length as 2w, as it is double the length.

The perimeter= 2l + 2w= 24

Input l as 2w, get

4w+2w=24

6w=24, w=4.

Length is w*2, so length is 8.

Recall the well-known series

[tex]\displaystyle 2 \arcsin^2(x) = \sum_{n=1}^\infty \frac{(2x)^{2n}}{n^2 \binom{2n}n}[/tex]

Replace x with √x :

[tex]\displaystyle 2 \arcsin^2(\sqrt x) = \sum_{n=1}^\infty \frac{(4x)^n}{n^2 \binom{2n}n}[/tex]

Differentiate both sides:

[tex]\displaystyle -\frac{\arcsin(\sqrt x)}{2\sqrt{x-x^2}} = \sum_{n=1}^\infty \frac{(4x)^n}{n \binom{2n}n}[/tex]

Multiply by 4x :

[tex]\displaystyle -\frac{4x \arcsin(\sqrt x)}{2\sqrt{x-x^2}} = \sum_{n=1}^\infty \frac{(4x)^{n+1}}{n \binom{2n}n}[/tex]

All the series I've mentioned converge for |x| < 1, so we can take x = -1/4 to find the value of the sum we want.

[tex]\displaystyle \sum_{n=1}^\infty \frac{(-1)^{n+1}}{n \binom{2n}n} = -\frac{4 \times \left(-\frac14\right) \arcsin\left(\sqrt{-\frac14}\right)}{2\sqrt{-\frac14-\left(-\frac14\right)^2}} = -\frac{\arcsin\left(\frac i2\right)}{\frac{\sqrt5\,i}2}} = \boxed{\frac2{\sqrt5} \mathrm{arsinh}\left(\frac12\right)}[/tex]

where

[tex]\arcsin\left(\frac i2\right) = z \iff 2\sin(z) = -2i\sinh(iz) = i \implies z = i \, \mathrm{arsinh}\left(\frac12\right)[/tex]

Answer:

6 3 5 6 8 8

Step-by-step explanation:

farthest apart than any other number

Answer:

Your correct answer is 90 :)

Step-by-step explanation:

90 is the biggest number in the number set so therefore it is an outlier. 

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

30 pounds are left over after the bag filled

Step-by-step explanation:

145×3

= 435

now,

465-435

= 30

Using it's concept, it is found that the conic section has no x-intercepts.

A x-intercept of a function is given by the value of x when y = 0. On a graph, it is the value of x when the function crosses the x-axis.

In this problem, the conic section given in the graph does not cross the x-axis, hence it has no x-intercepts.

More can be learned about x-intercepts at https://brainly.com/question/24737967

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3 is a factor of 12 because 12 is evenly divisible by 3

4 and 8 are not evenly divisible by 3.

the key word here is evenly (without a remainder)

===================================================

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Using it's concept, considering the number of desired and total outcomes, it is found that the probabilities are given by:

a. 0.6 = 60%.

b. 0.4 = 40%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these numbers of outcomes are taken from previous trials.

Researching the problem on the internet, it is found that there is a total of 127 + 44 + 95 + 104 = 370 customers.

Item a:

127 + 95 = 222 customers prefer either baked potato or asparagus, hence the probability is given by:

p = 222/370 = 0.6 = 60%.

Item b:

44 + 104 = 148 customers prefer either steamed broccoli or sweet potato, hence the probability is given by:

p = 148/370 = 0.4 = 40%.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

1,511 cm²

Step-by-step explanation:

      We will find the surface area, but not include the top.

      This means we will have five sides to calculate for, see attached.     Please note that the area of a rectangle can be found with A = L * W

[1] 19 cm * 10 cm = 190 cm²

[2] 19 cm * 10 cm = 190 cm²

[3] 29 cm * 10 cm = 290 cm²

[4] 29 cm * 10 cm = 290 cm²

[5] 19 cm * 29 cm = 551 cm²

    Add them all together:

190 cm² + 190 cm² + 290 cm² + 290 cm² + 551 cm² = 1,511 cm²

Answer:

4, 6, 1

Step-by-step explanation:

We can solve this problem using a system of equations:

1) a + b + c = 11

2) 2a + 5b + 6c = 44

3) 4a - b = 10

First, we can substitute the value of b from equation #3 into equation #1:

b = 4a - 10

a + (4a - 10) + c = 11

5a - 10 + c = 11

5a + c = 21

c = 21 - 5a

Now, we can plug the values of b and c into equation #2, as b and c are represented in terms of a:

2a + 5(4a - 10) + 6(21 - 5a) = 44

2a + 20a - 50 + 126 - 30a = 44

-8a + 76 = 44

-8a = -32

a = 4

b = 4a - 10 = 4(4) - 10 = 6

c = 21 - 5a = 21 - 5(4) = 1

Answer:

A) x would be 21 if i interpreted it right

Step-by-step explanation:

4x - 11 = 73

i think anyways

4x = 73 + 11

4x = 84

x = 21

i d k  what B means?

Answer:

B and E

Step-by-step explanation:

0.5 ÷ 0.25 = 2

A. NO because it's 20

B. Yes

C. NO because it's 0.2

D. NO because it's 1.1 repeating

E. Yes

Answer:

3cm

Step-by-step explanation:

V = L * W * H

V = 10 * W * 4

10 * 4 = 40

120 / 40 = 3

W = 3

Answer:

12 meters

Step-by-step explanation:

You have to use the inverse of the pythagorean theorem to do this so you do square root of (20x20-16x16) which is 12

Answer:

An angle that measures exactly 180° is known as a straight angle​

Step-by-step explanation:

A straight angle is basically just a line. It is equal to two right angles (which are 90 degrees) and it is also half of a circle.

I hope this was helpful! If you need any more information on straight angles or any other angles, let me know! Have a lovely day! :)

Answer:

angles of triangle adds up to 180 degrees

Answer:

A large university with over 40,000 students recently took a survey in which 31% of the students claimed to exercise at least 3 times a week. A simple random sample …

✓ approximately Normal, because we would expect at least 10 success and 10 failures

Step-by-step explanation:

Answer:

1800 in^3

Step-by-step explanation:

Step-by-step explanation:

a- true

b- true

c- false, it can be written 4b

d- true

e- false, 5a

Answer:

A.true B.true C.False D.true E.False

Apply Pythagorean theorem

Answer:

Distance between point P and Q = 5m

Step-by-step explanation:

Given

Using Pythagorean Theorem (applicable for only right triangles)

Hope it helped~

Answer:

[tex]\displaystyle \frac{7}{37}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-49 + 35}{-56 - 18} = m \hookrightarrow \frac{-14}{-74} = m \\ \\ \boxed{\frac{7}{37} = m}[/tex]

I am joyous to assist you at any time.

Step-by-step explanation:

3 ( p + 4 ) = 48

3p + 12 = 48

3p = 48 - 12

3p = 36

p = 36 ÷ 3

p = 12...

Answer:

3/10 is bigger

Step-by-step explanation:

covert into a decimal so 0.3 is bigger than 0.2857