The segments shown below could be a form triangle.

Answer: the area of the resulting surface is π/16 [ 4√(17)  + In( 4 + √( 17)) ]

Step-by-step explanation:

Given that;

y = e^(-4x),  x ≥ 0

then, dy/dx = -4e^(-4x)

now, √( 1 + (dy/dx)² ) = √( 1 + ( -4e^(-4x))²) = √( 1 + 16e^(-8x)

so the surface area of the surface obtaining by rotating the curve y = e^(-4x) on ( 0, ∞ ) about x-axis is,

S = ₀∫^∞ 2πy √( 1 + (dy/dx)² )  dx

S = ₀∫^∞ 2πe^(-4x) . √( 1 + 16e^(-8x) dx

S = 2π. ₀∫^∞ e^(-4x) . √( 1 + 16e^(-8x) dx

so LET 4e^-4x = u ⇒  -16e^(-4x) dx = du

⇒e^-4x dx = du/ -16

so whenx = 0, then u =4 and when x → ∞ then e^(-4x) → 0 so u →0

therefore

S = 2π ₄∫⁰ √(1 + u²) . du/-16

= π/8 ₀∫⁴ √(1 + u²) . du

= π/8 [ u/2√(1 + u²)  + 1/2 In ( u + √( 1 + u²) ]₀⁴

WE MAKE USE OF

∫√( a² + u²) du = u/2√(a² + u²) + a²/2 In ( u + √( a² + u²)) + C

so

= π/8 [ 4/2√(1 + 16)  + 1/2 In ( 4 + √( 1 + u16 ]

= π/8 [ 2√(17)  + 1/2 In ( 4 + √( 17)) ]

= π/16 [ 4√(17)  + In( 4 + √( 17)) ]

therefore the area of the resulting surface is π/16 [ 4√(17)  + In( 4 + √( 17)) ]

Answer: A) <

Step-by-step explanation: 98.546 is less than 98.654

Answer: the answer is true I think

Step-by-step explanation:

9514 1404 393

Answer:

  B.  3x^2 +11x -20 = 0

Step-by-step explanation:

For solutions p and q, the quadratic will be

  (x -p)(x -q) = 0

We notice that the leading coefficients of the offered answer choices are greater than 1, so it will be convenient to use a value that "clears fractions."

  (x -4/3)(x -(-5)) = 0

  3(x -4/3)(x +5) = 0 . . . . multiply by 3 to clear the fraction

  (3x -4)(x +5) = 0 . . . . . . clear the fraction

  3x(x +5) -4(x +5) = 0 . . use the distributive property

  3x^2 +15x -4x -20 = 0 . . . . use the distributive property again

  3x^2 +11x -20 = 0 . . . . collect terms

_____

The constant in the product of factors is the product of roots:

  (x -p)(x -q) = x^2 -(p+q)x +pq

Here, that would mean the constant would be (4/3)(-5) = -20/3.

If we compare the above quadratic to the standard form:

  ax^2 +bx +c = 0

we find that we can divide the standard form equation by 'a' to get ...

  pq = c/a

That is, c/a = -20/3, so we might start looking for an answer choice that has a leading coefficient of a=3 and a constant of c=-20.

Answer:

(3 1/2, -1)

Step-by-step explanation:

Answer:

14:26

Step-by-step explanation:

Because there is 14 girls and in all as students there is 26 of them.

Answer: A) 2 1/12 yards

B) 13/24 yards

Step-by-step explanation: A)

1 3/4 = 7/4 + 1/3 =

7/4(3/3) + 1/3(4/4)=

21/12 + 4/12 = 25/12 = 2 1/12 yards

B)

7/8 - 1/3 =

7/8(3/3) + 1/3(8/8)=

21/24 - 8/24 = 13/24 yards

Answer:

How you solve it is you pick two points on a line and figure out their coordinates. Determine the difference in the y-coordinates of those two points. Then you also do the same thing with the x-coordinates. Then you divide the difference in the Y and X coordinates .

Step-by-step explanation:

hope this helps 100% sure though that it is right.

Answer:

I believe the answer is w=6g-40.

Answer:

g= 1 /6 w +  20/ 3

Step-by-step explanation:

Reflex angle

Step-by-step explanation:

Reflex angle is more then 180 and less then 360

Answer:

yes buddy ans is reflex angle

Answer:

.30

Step-by-step explanation:

Purchase Cost = Cost per Portion x Portion Per Purchase

16 oz=1lb

Answer:

[tex] y = 3x + 2 [/tex]

Step-by-step explanation:

The equation of a linear function in slope-intercept form is: y = mx + b, where, m = slope, and b = y-intercept.

Find slope (m) of the linear function by using any two points, say (3, 11) and (7, 23):

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{23 - 11}{7 - 3} = \frac{12}{4} = 3 [/tex]

To find the y-intercept (b), substitute the value of the corrdinate pair of any of the points represented on the table, and the value of the slope (m) into [tex] y = mx + b [/tex].

Substituting, x = -1, y = -1, m = 3.

[tex] y = mx + b [/tex]

[tex] -1 = 3(-1) + b [/tex]

[tex] -1 = -3 + b [/tex]

Add 3 to both sides

[tex] -1 + 3 = b [/tex]

[tex] 2 = b [/tex]

[tex] b = 2 [/tex]

Substitute m = 3, and b = 2 into the equation of the linear function in slope-intercept form:

[tex] y = mx + b [/tex]

[tex] y = 3x + 2 [/tex]

Answer:

-4/27

Step-by-step explanation:

first write -4 1/2 as a fraction, which is -9/2. Then you divide by 1/3:

-9/2 / 2/3=

-2/9 * 2/3 =

-4/27

Good luck on your report card!

Step-by-step explanation:  The prime factorization of  4320   is

  2•2•2•2•2•3•3•3•5  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 4320   =  √ 2•2•2•2•2•3•3•3•5   =2•2•3•√ 30   =

               ±  12 • √ 30

 √ 30   , rounded to 4 decimal digits, is   5.4772

So now we are looking at:

          w  =  ( -40 ± 12 •  5.477 ) / -34

Two real solutions:

w =(-40+√4320)/-34=(20-6√ 30 )/17= -0.757

or:

w =(-40-√4320)/-34=(20+6√ 30 )/17= 3.110

MY HEAD HURTS!

Answer:

7

Explanation:                                                                                                  

Answer:

???

Step-by-step explanation:

1 cup=4 bottles

2 cup=8 bottles

3 cup=12 bottles

4 cup= 16 bottles

5 cup=20 bottles

6 cup=24 bottles

Answer:

9

Step-by-step Explanation

[tex]15 \% \: of \: 60 \\ \\ = \frac{15}{100} \times 60 \\ \\ = \frac{900}{100} \\ \\ = 9[/tex]

Answer:

is it two m plus eight m?

Answer:

Hey Army! The correct answer would be A. 37.1cm

Step-by-step explanation:

I got this correct on my test :)

9514 1404 393

Answer:

Step-by-step explanation:

There is nothing to indicate the graph is not of a polynomial function. Its zeros are the x=intercepts: -2, 3, 5. There are 3 of them, so that is the least degree the polynomial might have.

_____

Additional comment

The curve is consistent with the graph of ...

  y = (1/12)(x +2)(x -3)(x -5)

Step-by-step explanation:

43%=43/100

21/2%=1050

13.6%=136/100

521%=521/100

Answer:

k = 6

Step-by-step explanation:

-3=k+3

1) you must isolate the variable (k)

2) subtract each side by 3, to get k=-6

> -3-3=k+3-3

-6=k

now your variable is isolated, so you have your answer.

Answer: 1/1 or 1

Step-by-step explanation:

Answer:

2x + 8

Step-by-step explanation:

Let x be that number:

2x + 8

Answer:

its 35

Step-by-step explanation:

y = 6

and 6 times 6 is 36

and 36 minus 1 is 35

:)

Answer:

mhbdjhdfvvbjd

Step-by-step explanation:

hbgjtrhkbgb

Answer:

384 inches

Step-by-step explanation:

A=lwh

Answer:

6.43, 32/5,35/6

Step-by-step explanation:

6 is the least number so its going to go first

next,

32/5 is less than 35/6 so 32/5 will go in the middle and 35/6 will go last

Answer:

2/3, -1/1, -1 5/6, -2 1/10, -2 1/5

Step-by-step explanation: