3. Consider the graph of A, B, C and it’s image A’, B’, C’. What reflection produces this image?

Answer:

I hope this will help you :)

(a) See the attached sketch. Each shell will have a radius y chosen from the interval [2, 4], a height of x = 2/y, and thickness ∆y. For infinitely many shells, we have ∆y converging to 0, and each super-thin shell contributes an infinitesimal volume of

2π (radius)² (height) = 4πy

Then the volume of the solid is obtained by integrating over [2, 4]:

[tex]\displaystyle 4\pi \int_2^4 y\,\mathrm dy = 2\pi y^2\bigg|_{y=2}^{y=4} = 2\pi (4^2-2^2) = \boxed{24\pi}[/tex]

(b) See the other attached sketch. (The text is a bit cluttered, but hopefully you'll understand what is drawn.) Each shell has a radius 9 - x (this is the distance between a given x value in the orange shaded region to the axis of revolution) and a height of 8 - x ³ (and this is the distance between the line y = 8 and the curve y = x ³). Then each shell has a volume of

2π (9 - x)² (8 - x ³) = 2π (648 - 144x + 8x ² - 81x ³ + 18x ⁴ - x ⁵)

so that the overall volume of the solid would be

[tex]\displaystyle 2\pi \int_0^2 (648-144x+8x^2-81x^3+18x^4-x^5)\,\mathrm dx = \boxed{\frac{24296\pi}{15}}[/tex]

I leave the details of integrating to you.

Answer:

-63

Step-by-step explanation:

Solve parenthisis first. Solve the exponent inside the parenthhisis. 4 to the 2nd power is 16. -25+16=-9. -9*7=-63

P

E

MD

AS

Answer:

Step-by-step explanation:

PEDMAS stands for

Parentheses (brackerts

Exponents (squared, squared roots, powers)

Divide and Multiply from left to right

Add and Subtract from left to right

This means in this case that we first look at everything inside the brackets and at the end multiply by 7. The inside of the brackets says -25 + 4². In PEDMAS, the E (exponent) comes before A (add), so we do 4² first and then we do the -25. This results in:

-25 + 4² =

-25 + 16 =

-9

So now we are left with (-9) x 7

This is just a multiplication which gives us -63.

I hope this helps!

Answer:

Mean- the average of data, meaning you add up all the numbers, and then divide the sum of the numbers by how many numbers there are. For example:

2, 2, 3, 4, 6, 6, 9.

7 numbers total.

2 + 2 + 3 + 4 + 6 + 6 + 9 = 32

32 ÷ 7 = 4.57

The mean would be 4.57.

Median- the middle point of the numbers. You cross off each of the numbers until you have one last number standing. If you have an even number of numbers, you find the middle of the last two numbers you crossed off. For example:

2, 2, 3, 4, 6, 6, 9

2, 3, 4, 6, 6

3, 4, 6

4

4 would be the median.

Mode- the largest number on the data.

Range- subtract the mode (largest number) from the smallest number to get range. For example:

2, 2, 3, 4, 6, 6, 9

9 - 2 = 7

7 would be the range.

Step-by-step explanation:

Step-by-step explanation:

12x+4y=12*7+4*4

           =84+16

            =100

3y+2x=3*4+2*7

         =12+14

         =26

Answer:

-31+(-42)= -31-42 = -73

38+(-43)= 38-43 = -5

(-) - (-) = +

(-)+(-) = +

(-)+(+) = -

Answer:

x = 7

Step-by-step explanation:

[tex]x + 4 \div 8 = 30 \div 4[/tex]

[tex]x + 0.5 = 7.5[/tex]

[tex]x = 7.5 - 0.5[/tex]

[tex]x = 7[/tex]

Answer:

56

Step-by-step explanation:

x+4=30*2

x=60-4

x=56

[tex]67-4\cdot(3\cdot8-10)=67-4\cdot(24-10)=\\\\=67-4\cdot14=67-56=\boxed{11}[/tex]

Answer:

8. thousands, 5,000

9. millions 6,000,000

Step-by-step explanation:

Answer:

8: thousands place, 5,000

9: millions place, 6 million

Step-by-step explanation:

Place value is quite confusing at first, but it gets to be much easier. Basically, every time you add a place on a number, you are increasing its place value! Lets use number 9 for example. The one in this number is in the ones place. You know this because it is the last digit. The 4, is the tens place, since it is directly to the left of the ones place. You are increasing the place value to the left. The order of place value is:

Ones

Tens

Hundreds

Thousands

Ten thousands

Hundred thousands

Millions

Ten Millions

Hundred Millions

Billions

and so on. I hope this was helpful!

Answer:

The solution would be located at the location where the 2 lines intersect:

(2, -5)

Step-by-step explanation:

Answer:

46-6(4)=46-24=22

Step-by-step explanation:

Mark brainliest and please rate 5 stars :)

Answer:

Ray AE and Ray EC

Step-by-step explanation:

opposite rays are those that share the same midpoint but extend in opposite directions

Answer:

[tex]f(x) = 25 \times {1.25}^{x} [/tex]

Step-by-step explanation:

1.25 ^ -2 = 0.64 × 25 = 16

1.25 ^-3 =0.512 × 25 =12.8

Step-by-step explanation:

3x² - 8x + 4 =

3x² - 6x -2x + 4 =

3x(x-2) -2(x-2) =

(3x -2)(x-2)

[tex]\\ \sf\longmapsto 3x^2-8x+4[/tex]

[tex]\\ \sf\longmapsto 3x^2-6x-2x+4[/tex]

[tex]\\ \sf\longmapsto 3x(x-2)-2(x-2)[/tex]

[tex]\\ \sf\longmapsto (x-2)(3x-2)[/tex]

[tex]\\ \sf\longmapsto Done![/tex]

Answer:

45+5b

Step-by-step explanation:

math

Hello :D

To do this we need to do:

$2.40/12 = $0.20

Answer = $0.20

Answer: 0.20

Step-by-step explanation:

Above is correct! and same question as you

Answer:

okay

Step-by-step explanation:

sure how can I help?

Answer:

vectors are orthogonal

Step-by-step explanation:

If 2 vectors are orthogonal then their dot product = 0

u • v

= (i - j ) • (i + j )

= (1 × 1 ) + (- 1 × 1 )

= 1 + (- 1)

= 1 - 1

= 0

Since dot product is zero then the vectors are orthogonal

Answer:

10 Students

Step-by-step explanation:

162+18= 180

180 divide by 18 is equal to 10

Answer:

d

Step-by-step explanation:

Answer:

Slope: - 5/4

y-intercept: - 1

Step-by-step explanation:

- 10x - 8y = 8

- 8y = 10x + 8

y = - 10x/8 -8/8

y = - 5/4x - 1

Answer: Vertical test shows that each input has exactly one output. Both functions displayed should be functions. (Use vertical line and make sure it only intersects at one place)

Answer:

1.01111 is the right answer

The two number which lies between 1 and 1.11111 be : 1.01111 and 1.00111

A fraction represents a part of a whole or, more generally, any number of equal parts.

Given number is :

[tex]1 < \;\;\; < \frac{10}{9}[/tex]

1<     <1.11111

The number would be 1.01111 and 1.00111

There would be many number between this don't take the whole number, we just have to find number between 0 to 11111.

So,

1<1.00111<1.01111<1.11111

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

Answer:

No, If there equivalent they don't have to be equal. And if they are equal then don't have to be equivalent

Step-by-step explanation:

Hopes this helps.

[tex]\text{Perimeter}=2\cdot2 \ \text{units}+2\cdot7 \ \text{units}+10 \ \text{units}+6 \ \text{units}=\\\\=4 \ \text{units}+14 \ \text{units}+16 \ \text{units}=\boxed{34 \ \text{units}}[/tex]

Answer:

D . p = 50

Step-by-step explanation:

To find the value of p we first need to find the values of inner angles

180 - 140 (linear pair)

= 40

180 -90 (linear pair)

= 90

now use angle sum property of triangle

40 + 90 + p = 180

130 + p = 180

p = 180 - 130

p = 50

9514 1404 393

Answer:

  C.  3x∛(y²z)

Step-by-step explanation:

The relevant rules of exponents are ...

  [tex]\sqrt[n]{a^m} = a^\frac{m}{n}\\\\(a^b)^c=a^{bc}[/tex]

__

Your expression can be rewritten and simplified as follows.

  [tex]\displaystyle\sqrt[3]{27x^3y^2z}=(3^3x^3y^2z)^\frac{1}{3}=3xy^\frac{2}{3}z^\frac{1}{3}=3x(y^2z)^\frac{1}{3}=\boxed{3x\sqrt[3]{y^2z}}[/tex]