Is 12 rational? irrational? Whole? Integer?

Answer:

a) 8π

b) 8/3 π

c) 32/5 π

d) 176/15 π

Step-by-step explanation:

Given lines :  y = √x, y = 2, x = 0.

a) The x-axis

using the shell method

y = √x = , x = y^2

h = y^2 , p = y

vol = ( 2π ) [tex]\int\limits^2_0 {ph} \, dy[/tex]

     = [tex]( 2\pi ) \int\limits^2_0 {y.y^2} \, dy[/tex]  

∴ Vol = 8π

b) The line y = 2  ( using the shell method )

p = 2 - y

h = y^2

vol = ( 2π ) [tex]\int\limits^2_0 {ph} \, dy[/tex]

     = [tex]( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy[/tex]

     = ( 2π ) * [ 2/3 * y^3  - y^4 / 4 ] ²₀

∴ Vol  = 8/3 π

c) The y-axis  ( using shell method )

h = 2-y  = h = 2 - √x

p = x

vol = [tex](2\pi ) \int\limits^4_0 {ph} \, dx[/tex]

     = [tex](2\pi ) \int\limits^4_0 {x(2-\sqrt{x} ) } \, dx[/tex]

     = ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀

vol = ( 2π ) ( 16/5 ) = 32/5 π

d) The line x = -1    (using shell method )

p = 1 + x

h = 2√x

vol = [tex](2\pi ) \int\limits^4_0 {ph} \, dx[/tex]

Hence   vol = 176/15 π

attached below is the graphical representation of P and h

Answer:

prational number between root2

150°

Step-by-step explanation:

360° - 210° = 150° .......

Answer: D. an increase in the number of categories as the data set becomes larger.

Step-by-step explanation:

When too many variables are categorized in an analysis, there are different potential issues may occur, some of these issues include:

• model performance suffers.

• rarely occurring categories may not be captured accurately.

• difficulty in differentiating among observations.

It should be noted that an increase in the number of categories as the data set becomes larger isn't one of the issues. Therefore, the correct option is D.

Answer:

21 cookies

Step-by-step explanation:

First we know that Chris was given a third of 84 cookies so we can start working on this problem by figuring out what a third of 84 is. We can do this by multiplying 84 by 1/3 or just dividing by 3, which gives us: 84/3 = 28

So now we know that Chris was given 28 cookies, we can figure out what 3/4 of that is to work out how many cookies he ate. 28 x (3/4) = 21 cookies.

Chris ate 21 cookies.

Hope this helped!

Answer:

21 cookies

Step-by-step explanation:

1/3 × 84 = 28

3/4 × 28 = 21

It is airoplane and ambulance

Answer:

x-5y

Step-by-step explanation:

6x-5x=x

-8y+3y=-5y

Answer:

y = 4x

y = -1/3 × x + 6

y = x + 1

y = 1

y = 5x

Step-by-step explanation:

the slope of a line is the factor of x in the equation representing the ratio of y/x. it stands for the number of units y changes, when x changes by another number of units.

like the factor 4 tells us that when x changes by 1, then y changes by 4.

a line parallel to another line means their slopes are identical (otherwise they could not be parallel).

the slope of a perpendicular line (cutting the other line in a 90 degree angle) is simply reversing y and x in the slope ratio. so, a slope of 4 (4/1) would simply turn into 1/4.

now the 5 tasks are easy, right ?

A y=4x-1, B y=4x + c

and because B passes through the origin = (0,0),

c is 0 (0=4×0 + c = c)

B y = 4x

A y=-3x+1, B y=-1/3 × x + c

and B passes through (12,2), 2 = -1/3 × 12 + c = -4 + c,

c = 2 + 4 = 6

B y = -1/3 × x + 6

A y = ax + c for (5,6) and (7,8), B is identical

6 = a×5 + c => c = 6 - a×5

8 = a×7 + c => 8 = a×7 + 6 - a×5 = a×2 + 6

=> a×2 = 8-6 = 2

=> a = 1, c = 6 - 1×5 = 1

=> A and B y = x + 1

A is vertical. B is perpendicular to it. perpendicular to vertical is horizontal. so, B is a flat line. which means y is a constant value (the same value for whatever value of x you want to use). so it goes flat in parallel to the x-axis through what value of y ? the point (4,1) tells us that y=1

and that is the equation for B

A 15x -3y = -6 => 3y = 15x + 6 => y = 5x + 2

B is parallel, so y = 5x + c

and B passes through (4,20), 20 = 5 × 4 + c = 20 + c,

c = 20 - 20 = 0

B y = 5x

Answer:

5/12 is already in simplest form

Step-by-step explanation:

12m =  5r + 3y + 4b

red is chosen = 5r / 12 = 5/12

Step-by-step explanation:

the answer is 5/12. It's quite simple

Answer:

35 is the value of x

Answer:

A)$60

B)$9

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW

Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio

Cleopatra : Dalila : Ebony =

5 : 7 : 8

Cleopatra has $15.

A) How many dollars do they have in total?

B) Dalila spends 12$ on a hat, how many dollars does she have left?

A)

Total ratio=(5 +7 +8)= 20

Cleopatra has $15.

Let X = total money

Ratio of Cleopatra= 5/20 ×X=15

5X /20 = 15

5X= (15×20)

X= $60

They have $60 in total

B) ratio of Dalila= 7/20 × 60 = $21

But 12$ was spent by Dalila on a hat

Then Dalila will have ($21 - 12$) Left

= $9

Step-by-step explanation:

(340*20)-3

HOPE IT HEPL U

Answer:

hello hello hello hèllo

Answer:

V = 1/3 pie r2 h

= 1 /3 x 22/7 x 6.5 x 6.5 x 21

= 929.5 cm^3

Answer:

y = -2x + 20

Step-by-step explanation:

Use the linear equation, y = mx + b, where m is the slope and b is the y intercept.

In this situation, the y intercept is 20, since the starting amount of gasoline is 20 gallons.

The slope will be -2, since 2 gallons are drained per minute.

Plug in these values:

y = mx + b

y = -2x + 20

So, the linear equation is y = -2x + 20

Answer:

Future value, A = $10,500

Step-by-step explanation:

Given the following data;

Principal = Rs. 10,000

Interest rate compounded half yearly = 10% = 10/2 = 5%

Time = 1 year

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Where;

Substituting into the equation, we have;

[tex] A = 10000(1 + \frac{5}{100})^{1}[/tex]

[tex] A = 10000(1 + 0.05)[/tex]

[tex] A = 10000(1.05)[/tex]

Future value, A = $10,500

Answer:

29

Step-by-step explanation:

plug in 5 where x is.

so

4(5)^2-16(5)+9=

which equals 29

SEE IMAGE BELOW:)

Answer:

In simple terms, a bar chart is used in summarizing categorical data, where a histogram uses a bar of different heights, it is similar to the bar chart in many terms but the histogram groups the numbers into the ranges while representing the data.

bar chart is a graph in the form of boxes of different heights, with each box representing a different value or category of data, and the heights representing frequencies.

but,

Histogram is graphical display of numerical data in the form of upright bars, with the area of each bar representing frequency.

Answer:

[tex]P(B|A)[/tex]

Step-by-step explanation:

Probability notation:

Suppose that we have two events, event A and event B. The probability of event B occuring, considering that event A has occurred, is given by:

[tex]P(B|A)[/tex], which is the answer to this question.

Answer:

18133.333... units

Step-by-step explanation:

the shortest circumference for a given area based on rectangles is a square (all sides of equal length).

we cannot split a square completely into 3 equal area squares (only 4).

the best approach is then to split this main square into 3 equal area rectangles (not equal rectangles).

area of square 3200² = 10240000

a third of that area is 3413333.333...

now, splitting the main square into 3 equal "strips" of land creates 3 narrow and long rectangles, which is bad for minimizing the circumference. the best solution is to get as closely as possible to a square shape.

that we get by splitting one side in half and go in as far as the land area allows, which would be

half a side = 1600

3413333.33.../1600 = 2133.33...

so, we get 2 areas of 1600 × 2133.33...

and one area of (3200-2133.33...)×3200 = 1066.66...×3200

the length of fence needed is then

around the main square = 4×3200 = 12800

plus one length of fence between the first 2 parts : 2133.33...

plus one intensive long side between the first 2 parts and the remaining third part : 3200

in total : 18133.33...

to check : the three slices would require the 12800 plus 2 long lines inside between the 3 slices : 2×3200

in total : 19200

and an attempt to simply build one long strip of 3 equal area squares next to each other :

the side length of one such square is

sqrt(341333.33...) = 1847.520861...

as fence we would need 6 times that side length for the top and the bottom of the long strip, 2 times that side length for the sides left and right if the strip, and 2 times inside as additional delimiters between the 3 squares.

in total : (6+2+2) × 1847.520861... = 10×1847.520861...

= 18475.20861...

this is all larger than the original solution.

I assume that the equation you mean is below:

[tex] \large \boxed{w + \frac{ {w}^{2} }{3} = 0}[/tex]

To find roots for this equation, we have to get rid of the denominator. We can do by multiplying both sides by 3.

[tex] \large{w(3) + \frac{ {w}^{2} }{3} (3) = 0(3)} \\ \large{3w + {w}^{2} = 0}[/tex]

Factor w-term out (common factor)

[tex] \large{w(3 + w) = 0} \\ \large{w = 0 \: \: \: or \: \: \: 3 + w = 0} \\ \large{w = 0, - 3}[/tex]

Answer

Answer:

13,456

Step-by-step explanation:

Tn= a+(n-1)d

a is the first term, n is the given number and d is the common difference. d is given by subtracting the first term from the second term or the second from the third. Therefore the the 59th term of the sequence 29, 37, 45 is,

Tn= 29+(59-1)8

=29(58)8

=13,456

Answer:

-8+2i and -8+2i

Step-by-step explanation:

here simply we'll use general formula

x= (-b +or - √ b^2-4ac)/2a

Answer:

indeed

Step-by-step explanation:

just carry the one when adding

Step-by-step explanation:

1 = 1

41 – 40 = 61 – 60

16 + 25 – 40 = 36 + 25 – 60

4² + 5² – 2 * 4 * 5 = 6² + 5² – 2 * 6 * 5

(4 – 5)² = (6 – 5)²

4 – 5 = 6 – 5

4 = 6

2 = 3

1 + 1 = 3…proved

Answer:

-9

Step-by-step explanation:

Two-thirds of a number is negative six. The number is -9. Let the number is x, 2/3x =-6, x=-6x3/2=-9.

Answer:

the first one

Step-by-step explanation:

Hope this helps!

Answer:

Thus the function g is the function f stretched vertically by a factor 5.

Step-by-step explanation:

Multiplication of a function by a constant:

When a function is multiplied by a constant a > 1, the function is stretched vertically by a factor of 5.

In this question:

f(x) = x^2

g(x) = 5x^2

Thus the function g is the function f stretched vertically by a factor 5.