Mayor distributed 300 sacks of rice. A sack of rice weighs 50 kg. how many grams of rice did the mayor distribute?​

As the hint suggests, convert to spherical coordinates using

x = p cos(u) sin(v)

y = p sin(u) sin(v)

z = p cos(v)

dV = dx dy dz = p² sin(v) dp du dv

Then U is the set

[tex]U = \left\{ (p,u,v) \mid 0\le p\le2 \text{ and } 0\le u\le \dfrac{\pi}2 \text{ and } 0\le v\le\dfrac{\pi}2\right\}[/tex]

and the integral of y over U is

[tex]\displaystyle \iiint_U y \, dV = \iiint_U p\sin(u)\sin(v) \cdot p^2 \sin(v) \, dV[/tex]

[tex]\displaystyle \iiint_U y \, dV = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \int_0^2 p^3 \sin(u) \sin^2(v) \, dp \, du \, dv [/tex]

[tex] \displaystyle \iiint_U y \, dV = \frac{2^4-0^4}4 \int_0^{\frac\pi2} \int_0^{\frac\pi2} \sin(u) \sin^2(v) \, du \, dv [/tex]

[tex]\displaystyle \iiint_U y \, dV = 4 \cdot \left(-\cos\left(\frac\pi2\right) + \cos(0)\right) \int_0^{\frac\pi2} \sin^2(v) \, dv [/tex]

[tex]\displaystyle \iiint_U y \, dV = 4 \cdot \frac12 \int_0^{\frac\pi2} (1-\cos(2v)) \, dv [/tex]

[tex]\displaystyle \iiint_U y \, dV = 2 \left(\left(\frac\pi2 - \frac12 \sin\left(2\cdot\frac\pi2\right)\right) - \left(0 - \frac12 \sin\left(2\cdot0\right)\right) \right)[/tex]

[tex]\displaystyle \iiint_U y \, dV = \pi - \sin(\pi) = \boxed{\pi}[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

In this context, "per" and "for" mean "divided by."

Answer:

0.8 Euros

Step-by-step explanation:

Per US Dollar means its a proportion that the question is asking for. So, you can do 200/250 and get the answer.

Answer:

5/6+1/8 = 23/24

Step-by-step explanation:

The lowest common denominator here is the smallest denominator that can be divided evenly by both 6 and 8.  It is 24.  Note that 6 = 2·3 and that 8 = 2·2².  We use the factors 2³ and 3 to come up with the LCD 24.

Then 5/6 + 1/8 can be rewritten with this LCD as:

20/24 + 3/24 = 23/24

5/6+1/8 = 23/24

Answer:

0

Step-by-step explanation:

Because Rory's higher average and Lane's higher average is 96 in Quiz 3.

96-96=0

Answer:

23

Step-by-step explanation:

Exterior angle property: Exterior angle equals sum of opposite interior angles

51 + 2x +3 = 100

2x + 54 = 100

       2x = 100 - 54

      2x = 46

        x = 46/2

       x = 23

Answer:

f hnjkhufqeyuwegbwegnasdgjbbhdfu8isbhwsduihjjrwhiwerhugwhj4g4wyug4huwreuywefgkofjfu9qhfu8mfnfnjrfnfjqwejknuiaefhbuqwiefjjjhjjjj

Step-by-step explanation:

fgjnwehgbwhgbge

Answer:

did u mean 7 minutes & 30 seconds or

do you need seperate percentage for each ???

Answer:

420 i think

Step-by-step explanation:

7 mins

7×60

=420

plus the 30sec

450 sec

450/3600×100

45000/3600

450/36

12.5

Answer:

sry I just wanted the points I'm in middle school so I don't know this stuff either but can you give free brainlyest I'm soo close to my next rank I'd really appreciate it if you would

Answer:

K=2

Step-by-step explanation:

Given y=(1/2)^x

y=2^-x

Hope this helps :)

Answer:

Step-by-step explanation:

(3x)² + (4x)² = 20²

9x² + 16x² = 400

25x² = 400

x² = 16

x = 4

height = 3(4) = 12 inches

width = 4(4) = 16 inches

Answer:

In this example, you would need at least 7.9 pounds of wax to fill (25) 8 oz Candle Tins. It is a good idea to round up this number. It's always better to have a little wax left over than to not have enough!

Step-by-step explanation:

~equality

x + 12 = x√+2

= x + 12 = √2 x

= x = √2 x - 12

= x - √2 x = -12

= (1 - √2)x = -12

= x = -12/1- √2

= x = -(-12(1 + √2))

= x = -(-12 - 12√12)

= x = 12 + 12√2 ✔️

~ nice to help you ^^

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

5 + 3 = 8

-Lexi

Answer:

3,5,6

Step-by-step explanation:

because 300 divided by 2 is 150

50 divided by 2 is 25

and 6 divided by 2 is 3

Hello, hope you are having a nice day.

This answer is not correct, because we can't add different variables. For instance, if we have 11x+2y, we can't add x's and y's together.

Therefore, the correct answer would be

11x+2y

Hope it helps. Ask me if you have any queries.

~An emotional teen who helps others with joy

[tex]MagicalNature[/tex]

Good luck.

Answer:

Step-by-step explanation:

The first step is the answer, so you would have gotten 100% if you just left the question there. The next step, the second step, is quite right.

If it was, then why didn't you do that in the first step?

Think of all the possibilities

60xy

10xy

12xy

10xy + 5y

12xy + 5x

There must be many more.

And yet dear one, you have only made 1 mistake. You combined xs and ys in step 2. Here's the rule.

Don't. If they were added, let them stay added. xs go with other xs. ys go with other ys. They never go together when they are added.

Answer:

b

Step-by-step explanation:

Answer:

B. (5q - 12) / 12

Step-by-step explanation:

7p + 5q = 19p + 12

So, we are looking for p, let's move all the p on the left, and the rest on the right

7p + 5q = 19p + 12

7p - 19p = 12 - 5q

-12p = 12 - 5q

Now to get single p we need to divide both sides by -12

-12p = 12 - 5q

p = [tex]\frac{12 - 5q}{-12}[/tex]

We don't have answer like this, so we have to get rid of the minus from this equation. To do so, we have to multiply the fraction's top and bottom by (-1)

[tex]\frac{12 - 5q}{-12} * \frac{-1}{-1} = \frac{- 12 + 5q}{12}[/tex]

all right, we almost got it, now let's change the order in top of the fraction:

p = [tex]\frac{- 12 + 5q}{12}[/tex]

p = [tex]\frac{5q - 12}{12}[/tex]

And it's done

Answer:

The last one is correct.

Step-by-step explanation:

[] Rewrite 4/5 as 8/10

[] 8/10 / 3/10 = 8/10 * 10/3 = 80/30 = 2 2/3 days

Have a nice day! - This is only correct if your models look like the ones I have attached

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

32 bracelets

Step-by-step explanation:

First multiply each bracelet by 4 to get the correct amount:

3x4=12

4x5=20

Then, add the two.

12+20=32

Answer:

He can grow 9 herbs.

Step-by-step explanation:

3rows x 3plant herbs per row = 9 herbs to grow

Hope this helps :)

Answer:

16x

Step-by-step explanation:

(3x + 2) (x - 6)

Multiply 3x by x and -6

3x^2 - 18x

Multiply 2 by x and -6

2x - 12

Combine like terms

3x^2 - 16x - 12

The middle term is 16x

Step-by-step explanation:

direct add the upper both numerator and bottom both denominator ,Then you will get the answer,Then reduce it to lowest form

sorry for bad english

edit:Wrong answer

2/9 + 5/12

LCM = 36

=》2/9 = 2×4/9×4 = 8/36

=》5/12 = 5×3/12×3 = 15/36

2/9 + 5/12

= 8/36 + 15/36 (LCM = 36)

= 23/36 -----> 2/9 + 5/12 with a common denominator.

________

Hope it helps ⚜

Answer:

2020

Step-by-step explanation:

if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023

it is the number in the middle.

for the first 3 numbers, it is 2019, 2020, 2021

the middle number is 2020

The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020.

The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.

In other words, the mean is the foundation of the deviation of data from all data sets.

Let's say the first integer is x.

Then, next terms will be x + 1, x + 2, x + 3, x + 4.

It is known that,

Mean = sum of data / Number of data

(x + x + 1 + x + 2 + x + 3 + x + 4)/5 = 2021

(5x + 10)/5 = 2021

x + 2 = 2021

x = 2019

Now, first, three consecutive integers will be,

2019,2020 and 2021

The mean of the above integers will be,

(2019 + 2020 + 2021)/3 = 2020

Hence "The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020".

For more about the mean,

https://brainly.com/question/17060266

#SPJ1

Answer: I can't find the answer :(

B. (−2, −1)

Step-by-step explanation: I don't know :(

From when I am looking at the graph it looks like the answer would be

P= (-2, -1)

Q= (1, -2)

Answer:

10/13

Step-by-step explanation:

It's already simplified luv

Answer:

It is a function.

Step-by-step explanation:

Each input goes to exactly one output. Therefore, this is a function.

The confidence interval is between (48.2%, 57.7%)

Using the proportion formula expressed as:

[tex]CI=p\pm z\cdot \sqrt{\frac{p(1-p)}{n} }[/tex]

Get the proportion:

p = 320/600 = 0.53

[tex]z=\frac{x- \mu}{\sigma}[/tex]

[tex]z = \frac{320-240}{47}\\z=\frac{80}{47}\\z= 1.70[/tex]

Substitute into the formula to get the confidence interval to have:

[tex]CI=0.53\pm 1.7\cdot \sqrt{\frac{0.47}{600}}\\CI = 0.53\pm 0.04757\\CI = (0.53-0.04757, 0.53+0.04757)\\CI = (0.482, 0.577)[/tex]

Hence the confidence interval is between (48.2%, 57.7%)

Learn more on  confidence interval here: https://brainly.com/question/20066592

Answer: Carla's suitcase was a better purchase.

Step-by-step explanation: Solution:

Cost Price of Carla's suitcase = $75

Discount% for Carla = 19%

The amount paid by Carla is,

So, the amount paid by Carla was, $60.75.

Cost Price of Jeana's suitcase = $85

Discount% for Jeana = 20%

The amount paid by Jeana is,

So, the amount paid by Jeana was, $68.

Carla's suitcase was a better purchase.

Answer:

c  5x -15y =1

5x-15y=1

-5x -15y= 1 -5x     change the signs on both sides of the equation

    15y = -1 +5x      divide both sides by 15

        y = -1/15 + 1/3 x    Reorder the terms

        y = 3x-15

Step-by-step explanation:

Hope this helps:)