Complete the statements below
1)25% of the results from November show a flow of water greater than....m^3/s.
2)Both the lower quartiles and medians were the same in the months of.......

Answer:

Volume of the Tetrahedron T =[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

As given, The tetrahedron T is bounded by the planes x + 2y + z = 2, x = 2y, x = 0, and z = 0

We have,

z = 0 and x + 2y + z = 2

⇒ z = 2 - x - 2y

∴ The limits of z are :

0 ≤ z ≤ 2 - x - 2y

Now, in the xy- plane , the equations becomes

x + 2y = 2 , x = 2y , x = 0 ( As in xy- plane , z = 0)

Firstly , we find the intersection between the lines x = 2y and x + 2y = 2

∴ we get

2y + 2y = 2

⇒4y = 2

⇒y = [tex]\frac{2}{4} = \frac{1}{2}[/tex] = 0.5

⇒x = 2([tex]\frac{1}{2}[/tex]) = 1

So, the intersection point is ( 1, 0.5)

As we have x = 0 and x = 1

∴ The limits of x are :

0 ≤ x ≤ 1

Also,

x = 2y

⇒y = [tex]\frac{x}{2}[/tex]

and x + 2y = 2

⇒2y = 2 - x

⇒y = 1 - [tex]\frac{x}{2}[/tex]

∴ The limits of y are :

[tex]\frac{x}{2}[/tex] ≤ y ≤ 1 - [tex]\frac{x}{2}[/tex]

So, we get

Volume = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}\int\limits^{2-x-2y}_{z=0} {dz} \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{[z]}\limits^{2-x-2y}_0 {} \, \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{(2-x-2y)} \, \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {[2y-xy-y^{2} ]}\limits^{1-\frac{x}{2}} _{\frac{x}{2} } {} \, \, dx[/tex]

             = [tex]\int\limits^1_0 {[2(1-\frac{x}{2} - \frac{x}{2}) -x(1-\frac{x}{2} - \frac{x}{2}) -(1-\frac{x}{2}) ^{2} + (\frac{x}{2} )^{2} ] {} \, \, dx[/tex]

             = [tex]\int\limits^1_0 {(1 - 2x + x^{2} )} \, \, dx[/tex]

             = [tex]{(x - x^{2} + \frac{x^{3}}{3} )}\limits^1_0[/tex]

             = 1 - 1² + [tex]\frac{1^{3} }{3}[/tex] - 0 + 0 - 0

             = 1 - 1 + [tex]\frac{1 }{3}[/tex] =  [tex]\frac{1}{3}[/tex]

So, we get

Volume =[tex]\frac{1}{3}[/tex]

The volume of Tetrahedron will be [tex]\frac{1}{3}[/tex] units.

Given,

The tetrahedron T is bounded by the planes,

[tex]x+2y+z=2......(1)\\ x=2y....(2)\\ x=0......(3) \\ z=0.....(4)[/tex]

From equation (1),

[tex]z=2-x-2y[/tex]

So the limits of z will be from 0 to [tex]2-x-2y[/tex].

Now, from equation (2),

[tex]y=\frac{x}{2}[/tex]

and from equation (1), putting z=0 we get,

[tex]x+2y=2\\y=1-\frac{x}{2}[/tex]

So the limits of y will be from [tex]\frac{x}{2}[/tex] to [tex]1-\frac{x}{2}[/tex].

On solving equation (1), for x we get

[tex]x+x+0=2[/tex] [tex](x=2y \ and \ z=0 )[/tex]

[tex]x=1[/tex].

So the limits of x will be from 0 to 1.

The volume of tetrahedron will be,

[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy \int\limits^{2-x-2y}_0 \, dz[/tex]

[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy [2-x-2y-0][/tex]

[tex]V=\int\limits^1_0 \, dx (1-2x+x^2)\\[/tex]

[tex]V=1-1+\frac{1}{3}[/tex]

[tex]V=\dfrac{1}{3}[/tex]

Hence the volume of tetrahedron is [tex]\frac{1}{3}[/tex] units.

For more details on Triple integration follow the link:

https://brainly.com/question/12632797

Answer:

a

Step-by-step explanation:

Volume of water in sphere is 2,143.57 cm³

Radius of sphere = 8 cm

Value of π = 3.14

Volume of water in sphere

Volume of sphere = (4/3)πr³

Volume of water in sphere = (4/3)(3.14)(8)³

Volume of water in sphere = (4/3)(3.14)(512)

Volume of water in sphere = 2,143.57 cm³

So, Option "A" is the correct answer to the following question.

https://brainly.com/question/17613357?referrer=searchResults

Answer:

39

Step-by-step explanation:

Answer:

39 degrees

Step-by-step explanation:

by the triangle angle sum theorem, the 3 angles of triangles must add up to 180 degrees.

Therefore, 102 degrees + 39 degrees + x = 180 degrees

141 degrees + x = 180 degrees

x = 39 degrees

Step-by-step explanation:

Slope-intercept form: y = mx + c

We have m = 1/4. Since it passes through the

point (-4, 2), => When x = -4, y = 2.

=> (2) = (1/4)(-4) + c, 2 = c - 1, c = 3.

Hence the equation is y = x/4 + 3.

Answer:

Y = 1/4x + 3

Step-by-step explanation:

Answer:

an annuity is a type of retirement income product that you buy with some or all of your pension pot. it pays a regular retirement income either for life or for a set period. (hope this is a decent answer lol)

Step-by-step explanation:

Answer:

An annuity is a contract between you and an insurance company in which you make a lump-sum payment or series of payments and, in return, receive regular disbursements, beginning either immediately or at some point in the future.

Step-by-step explanation:

Answer:

D) 5x + 6y = 12

Step-by-step explanation:

x = y^2 is Not Linear (Find the degree of the equation to determine if linear.)

y - 2 = x^(2) + 5x is Not Linear (Find the degree of the equation to determine if linear.)

y = x^(3) + 1 is Not Linear (A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 3.

5x + 6y = 12 is Linear (Find the degree of the equation to determine if linear.)

Answer:

if the x in the first number is a multiplication sign, then heres the answer:

10 - 5x

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

If you think about it hard enough, and look at it real hard, you can see. Think of like a capital L. 7 tall and 7 wide. I'm not sure but thats what I think.

Answer:

41.79

Step-by-step explanation:

c = 14 * 100/33.5 = 1400/33.5 = 2800/67

= 41.79104

Answer:

(1,-1)

Step-by-step explanation:

-2x-1 = x+2

-3x = 3

x = -1

substitute

y = (-1) + 2

y = 1

point: (1,-1)

Answer:

h = 55

Step-by-step explanation:

Solve for  h  by simplifying both sides of the equation, then isolating the variable.

Answer:

h=55

Step-by-step explanation:

I took the test and got it right

Answer:

fe4trhegweggwerg4twerewerth54h4hyrht5th53h

Step-by-step explanation:

Answer:

y=2

Step-by-step explanation:

-6+7y=8

7y=8+6

7y=14

y=2

Answer:

215.00

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

All u need to do, is subtract 3, until u get to the 20th sequence.

59, 56, 53, 50, 47, 44, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11, 8, 5, 2

Answer:

b

Step-by-step explanation:

2(h-8)-h=h-16

step 1 distribute 2 to whats in the parenthesis

2h-16-h=h-16

step 2 combine like terms

h-16=h-16

add 16 to each side

h=h

subtract h from each side  

0=0

this would have an infinite amount of solutions

Answer:

V= a³ => 96 = a³ => a= ∛96 =2∛12

The length of each edge of the cube : C : 2∛12

Step-by-step explanation:

Answer:

16 is the answer hope i helped!

Step-by-step explanation:

Answer:

i think it c

:D

Step-by-step explanation:

Maybe 0.7 the way you put it made it confusing

Answer:

The total number of members are 128 members

Step-by-step explanation:

From the question, mixing the ratio of children to adult, we have ;

7:9

There are 16 more adult members

So if there are x children, then there are 16 + x adults

Thus, the total number of members will be;

16 + x + x = 2x + 16

Now, we have that;

7/16 * (2x + 16) = x

7(2x + 16) = 16x

14x + 112 = 16x

16x-14x = 112

2x = 112

x = 112/2

x = 56

The total number of members is thus;

2(56) + 16 = 128

Answer:

C=78

Step-by-step explanation:

first add 72 and 30 you get 102 then subrtract 102 from 180 and youll get your answer of 78

Answer:

It is very cool that Mariana wears her winter coat when the temperature is colder than -4 degrees Celsius

that means when it is 10 degrees Celsius, she won't wear her winter coat

If $1000 is invested now with simple interest of 8% per year. ... Find the total amount on deposit at the end of 4 years if the interest is: ... e) compounded monthly, n =12: A = 5000(1 + 0.06/12)(12)(4) = 5000(1.005)(48) = $6352.44 ... When a bank offers you an annual interest rate of 6% compounded continuously,

Answer:

f(x)=10(-1/2)-3=-8

Step-by-step explanation:

Answer:

f(x)=10x-3 = x=1/10y+3/10

x=-1/2 = x=−1/2 is going to be the same thing I just did it

Step-by-step explanation: hope this help

Answer:

its the 3rd one ab and cd

Answer:

(0,0) is a solution to n=m and n=4m

Step-by-step explanation:

For the first equation, If u insert 0 as m into n=m

n=(0) then n will equal 0.

For the second equation, if u insert 0 as m in n=4m

n=4(0) then n will also equal 0.

So the answer is (0,0) is a solution to n=m and to n=4m

Hope this helps :)

Answer:

x=-8

y=2

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

becjv dfv igcicifcigxixixicocvicicirxc ou9 xexiixi xiexexuwuzwxit

Answer:

I would say  57 is the answer

Step-by-step explanation: