Sketch a plane region and indicate the axis about which it is revolved so that the resulting solid of revoltuion (found using the shell method) is given by the integral.

π
2π∫ xsinx dx
0

Answer:

Step-by-step explanation:

By 2 for the first one.      And for 2 they skip counting by 6

Answer:

45

Step-by-step explanation:

Do prime factorization and multiply the factors the two numbers have in common.

Answer:

X= -10

Step-by-step explanation:

This is the answer wait I will show u the steps

Answer:

Answer and steps in the pic

Step-by-step explanation:

u > -17

Answer:

8????? I dont really know.....

Answer:

y=-5/7x-3

Step-by-step explanation:

so, we need the equation to be in y=mx+b form.

The equation right now is 5x+7y=-21 in standard form.

We need to isolate y onto one side

Here's the equation:

5x+7y=-21

subtract 5x from both sides

7y=-5x-21

divide by 7

y=-5/7x-21/7

simplify

y=-5/7x-3

Hope this helps! :)

Answer:

[tex]let \: the \: inverse \: of \: f(x) \: be \: m \\ m = {f(x)}^{ - 1} \\ m = {(4x + 12)}^{ - 1} \\ m = \frac{1}{(4x + 12)} \\ m(4x + 12) = 1 \\ 4x = \frac{1}{m} - 12 \\ x = \frac{1}{4m} - 3 \\ therefore \\ g(x) = \frac{1}{4x} - 3[/tex]

Answer:

g(x) = 1/4 x -3

Step-by-step explanation:

f (x) = 4 x + 12

g(x) = f⁻¹(x)

step 1: re-write as linear equation     y = 4x+12

step 2: swap x and y       x = 4y + 12

step 3: solve y     4y = x - 12      y = 1/4 x -3

step 4: inverse notation: f⁻¹(x) = 1/4 x - 3   i.e. g(x) = 1/4 x -3

Answer:

14°

Step-by-step explanation:

Sum of angles is 180°

57 + 73 + (4x - 6) = 180

130 + 4x - 6 = 180

4x = 180 - 130 + 6

4x = 56

x = 14°

Answer:

489

Step-by-step explanation:

Answer:

the answer is 489 I hope it helps.

Answer:

¿en qué periodos  le tocará participar?

El equipo cuatro participa en el periodo 5 - 11 - 17

¿Todos los equipos participarán el mismo  número de veces?

Todos los equipos los hacen 3 veces . menos 1 equipo que lo hace 2 veces

¿Por qué?

Cuatrimestre. =  120 dias

Numero de semanas = 120/ 7  17,1

17 semanas completas 3 dias

No se trabaja la primera semana. por lo que quedan 16 semana 3 dias.

Son 6 equipos para participar todos serian por lo menos 17 semanas 1 dia.

Step-by-step explanation:

Cuatrimestre. =  120 dias

Numero de semanas = 120/ 7  17,1

17 semanas completas 3 dias

No se trabaja la primera semana. por lo que quedan 16 semana 3 dias.

Son seis equipos.   17 ( 16,3) semanas / 6

Todos los equipos los hacen 3 veces . menos 1 equipo que lo hace 2 veces

Semana 1 2 3 4 5 6

Equipos

1        

2  X      

3   X    

4    X    

5     X  

6      X  

7       X

8  X      

9   X    

10    X    

11     X  

12      X  

13       X

14  X      

15   X    

16    X    

17     X  

18      X  

Answer:

False

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = 2

y-intercept b = 6

Step 2: Write Function

Substitute into general form.

y = 2x + 6

Step 3: Compare

2y = 6x does not equal y = 2x + 6

Answer:

B

Step-by-step explanation:

Rise is 4/3x means that the point (4,3) will be on the line, and b is the only one which has (4,3).

Which line has a constant of proportionality between y and x (Slope) of 4/3?

4/3 = slope = rise over run

(Rephrase) Which line has a slope of 4/3? Go up 4 over 3 from the origin (since there is no y-intercept)

Only B goes up 4 and over 3 (has the slope of 4/3)

Answer: B

Answer:

$1.37 unit rate

*this answer was rounded*

Step-by-step explanation:

Answer:

The actual map distance would be 160 miles. when we multiply 0.5 by 16 we get 8 miles to find the actual distance for the map we need to multiply by 16 as well.

Hope it helps :)

Step-by-step explanation:

Answer:

If you are solving for y: y=12/5+2/5x

If you are solving for x=1

Step-by-step explanation:

Answer:

x = 1, y = 2

Step-by-step explanation:

this system is set up nicely to just add because then the y-value will be eliminated and you will have:

8x = 8

x = 1

get y value:  2(1) - 6y = -10

                    2 - 6y = -10

                     -6y = -12

                      y = 2

Answer:

g(x)=x3

Step-by-step explanation:

g(x)=x3 is not an exponential function

Answer:

$18.90

Step-by-step explanation:

Multiply the original price by the percentage

$21 x 10% = $2.10

You then subtract this from the original to get the discounted price

$21 - $2.10 = $18.90

Answer:

A

Step-by-step explanation:

Edge

The measure of MN is equal to 58cm, the correct option is A.

A triangle is a polygon with three sides, vertices and angle.

Triangle A B C is cut by line segment M N.

such that,

A M = M B = 88 centimeter

CN =NB = 75 centimeter

AC = 116 centimeter

If a line segment joins the mid-points of two sides of a triangle, then the line segment is parallel to the third side of the triangle and the measure is equal to half of its length.

MN = (1/2) AC

MN = (1/2) * 116

MN = 58 centimeter

To know more about Triangle

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Answer:

Step-by-step explanation:

a) the points (0,60)  and (6.0) are the intercept points for the graph of the car slowing down ( accelerating in the opposite direction than it's traveling)

we already know the slope of the line b/c that the rate at which it's slowing .. -10 =m  which is the slope of the line .. down 10

use the point-slope formula  y-y1 = m(x-x1) and plug in either given point for (x1,y1)

b) y -60 = -10(x-0)

y= -10x+60

thats the slope-intercept form of the equation

Answer:

[tex](0,60) = = > the \: vertical \: displacement \: of \: the \: automobile (y-intercept) \\ (6,0) = = > the \: horizontal \: displacement \: of \: the \: automobile (x-intercept) \\ equation \\ y = mx + c \\note = > m = \frac{(0 - 60)}{(6 - 0)} \\ m = - 10 \\ consider \: point \: (6,0) \\ from \: y = mx + c \\ substitute \: for \: y \: and \: x \\ 0 = (m)(6) + c \\ 0 = ( - 10 \times 6) + c \\ 0 = - 60 + c \\ c = 60 \\ substitute \: for \: c \: in \: y = mx + c \\ y = - 10x +60 \\ 10y = - x + 6[/tex]

Answer:

7 1/2 divided by (4 1/2 - 5 1/8)=-12

Step-by-step explanation:

PLZZ MARK BRAINLIEST!!!!

Answer is -12

Answer:

Triangles are congruent because all the corresponding sides and interior angles are congruent.

Step-by-step explanation: did it help? plz like if did

Answer:

4a(a+b−c)Step-by-step explanation:

4a

2

+4ab−4ca

The common factor =2×2×a

Thus, 4a

2

+4ab−4ca

=4a(a+b−c)

Answer:

tje gorilla weights 240 lb

Answer:  240 pounds

Work Shown:

(body mass)/(amount eaten) = (body mass)/(amount eaten)

(24 lb body mass)/(4 lb eaten) = (x lb body mass)/(40 lb eaten)

24/4 = x/40

6 = x/40

x/40 = 6

x = 40*6

x = 240

The gorilla has 240 pounds of body mass.

Answer:

x ≠ 1

Step-by-step explanation:

If 1 is used, this will happen:

f(x) = 4/-(1) + 1

f(x) = 4/-1 + 1

f(x) = 4/0 = Undefined

Answer: 1. 3x^2(-x^2-3x+5). 2. (2x-7)(5x^2+3)

Step-by-step explanation:

(1) Find the greatest common factor - 3x^2. Simplify as much as possible.

(2) Split 10x^3 - 35x^2 and 6x-21 into two separate groups. Factor each group separately to get 5x^2(2x-7) and 3(2x-7). The numbers in the parentheses should be the same for each group - (2x-7). Take the numbers outside of the parentheses and put them together to get (5x^2+3). Your final answer will be (2x-7)(5x^2+3).

1. The required factor of the polynomial is

(-3x²)(x²+3x-5).

2. The required factor of the polynomial using grouping method, the answer is (5x²+3)(2x-7).

"A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables."

"The factorization of polynomials or polynomial factorization expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain.

There are six different methods to factorizing polynomials. One of those methods is factorization of a polynomial by grouping method."

1. The given polynomial is

[tex]-3x^{4} - 9x^{3} + 15x^{2} \\= - 3x^{2}(x^{2}+3x-5)\\[/tex]

Therefore, by factorizing the given polynomial, we get:

[tex]- 3x^{2}(x^{2}+3x-5)[/tex].

2. The given polynomial is

[tex]10x^{3}-35x^{2} +6x-21[/tex]

We need to factorize it using grouping method.

Therefore,

[tex]10x^{3}-35x^{2} +6x-21\\= 5x^{2}(2x-7)+3(2x-7)\\= (5x^{2} +3)(2x-7)[/tex]

Hence,

1. The required factor of the polynomial is

(-3x²)(x²+3x-5).

2. The required factor of the polynomial using grouping method, the answer is (5x²+3)(2x-7).

Learn more about the factorization of a polynomial here: https://brainly.com/question/10499871

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Answer:

Both expression equals 5 when substituting 2 for x, because the expressions are equivalent.

Step-by-step explanation:

Given the expressions:

(1/2)x + 4

x + 6 - (1/2)x - 2

Substituting 2 for x in the equation :

(1/2)x + 4

x = 5

(1/2)2 + 4

2/2 + 4

1 + 4

= 5

x + 6 - (1/2)x - 2

Substituting 2 for x

2 + 6 - (1/2)2 - 2

8 - 2/2 - 2

8 - 1 - 2

= 5

Answer:

[tex]T = 3.54[/tex]

Step-by-step explanation:

Given

Direct Variation of T to [tex]\sqrt d[/tex]

[tex]d =6;\ when\ T = 5[/tex]

Required

Determine T when d = 3

The variation can be represented as:

[tex]T\ \alpha\ \sqrt d[/tex]

Convert to equation

[tex]T = k\sqrt d[/tex]

[tex]d =6;\ when\ T = 5[/tex]; so we have:

[tex]5 = k * \sqrt 6[/tex]

Make k the subject:

[tex]k = \frac{5}{\sqrt 6}[/tex]

To solve for T when d = 3.

Substitute 3 for d and [tex]k = \frac{5}{\sqrt 6}[/tex] in [tex]T = k\sqrt d[/tex]

[tex]T = \frac{5}{\sqrt 6} * \sqrt{3}[/tex]

[tex]T = \frac{5\sqrt{3}}{\sqrt 6}[/tex]

[tex]T = \frac{5 * 1.7321}{2.4495}[/tex]

[tex]T = \frac{8.6605}{2.4495}[/tex]

[tex]T = 3.5356[/tex]

[tex]T = 3.54[/tex] -- approximated