Y=(x) = (1/8)^x Find f(x) when x =(1/3) Round your answer to the nearest thousandth.

Helppppppppppp please and expalin if you can

Alja [10]

Ugh, more algebra pretending to be geometry. Why?

This is a pretty awful instance of the genre, with no units on the constant 16, assumed to be degrees.

The total arc measure in a circle is 360 degrees. Geometry part over.

3m + 16 + 2m + 3m = 360

8m = 344

m = 344/8 = 43

Arc measures:

Arc 3m+16 = 3(43)+16 = 145°. The angle subtended by that arc is half that, 145/2=72.5°

Arc 2m=2(43)=86°. The angle subtended is half that, 43°

Arc 3m=3(43)=129°. The angle subtended is half that, 64.5°

3 0

4 years ago

Use reduction of order to find a second linearly independent solution

Hoochie [10]

Given that exp(2x) is a solution, we assume another solution of the form

y(x) = v(x) exp(2x) = v exp(2x)

with derivatives

y' = v' exp(2x) + 2v exp(2x)

y'' = v'' exp(2x) + 4v' exp(2x) + 4v exp(2x)

Substitute these into the equation:

(2x + 5) (v'' exp(2x) + 4v' exp(2x) + 4v exp(2x)) - 4 (x + 3) (v' exp(2x) + 2v exp(2x)) + 4v exp(2x) = 0

Each term contains a factor of exp(2x) that can be divided out:

(2x + 5) (v'' + 4v' + 4v) - 4 (x + 3) (v' + 2v) + 4v = 0

Expanding and simplifying eliminates the v term:

(2x + 5) v'' + (4x + 8) v' = 0

Substitute w(x) = v'(x) to reduce the order of the equation, and you're left with a linear ODE:

(2x + 5) w' + (4x + 8) w = 0

w' + (4x + 8)/(2x + 5) w = 0

I'll use the integrating factor method. The IF is

µ(x) = exp( ∫ (4x + 8)/(2x + 5) dx ) = exp(2x - log|2x + 5|) = exp(2x)/(2x + 5)

Multiply through the ODE in w by µ :

µw' + µ (4x + 8)/(2x + 5) w = 0

The left side is the derivative of a product:

[µw]' = 0

Integrate both sides:

∫ [µw]' dx = ∫ 0 dx

µw = C

Replace w with v', then integrate to solve for v :

exp(2x)/(2x + 5) v' = C

v' = C (2x + 5) exp(-2x)

∫ v' dx = ∫ C (2x + 5) exp(-2x) dx

v = C₁ (x + 3) exp(-2x) + C₂

Replace v with y exp(-2x) and solve for y :

y exp(-2x) = C₁ (x + 3) exp(-2x) + C₂

y = C₁ (x + 3) + C₂ exp(2x)

It follows that the second fundamental solution is y = x + 3. (The exp(2x) here is already accounted for as the first solution.)

3 0

3 years ago

Please help me i suck at geominty

nlexa [21]

Hello!

You can use the Pythagorean Theorem to solve this.

$a^{2} + b^{2} = c^{2}$

c is the hypotenuse which is the side opposite of the right angle
a and b are the other sides

Put in the values you know

$a^{2} + 24^{2} = 25^{2}$

Square the numbers

$a^{2} + 576 = 625$

Subtract 576 from both sides

$a^{2} = 49$

Take the square root of both sides

a = 7

The answer is 7

Hope this helps!

8 0

4 years ago

What is the midpoint of (-1,-6), (-6, 5)

kirill115 [55]

<h3>Answer:</h3><h3>-3.5,-0.5</h3>

Step-by-step explanation:

6 0

4 years ago

How many 12 inch sections can you get out of 9 foot calculator?

Citrus2011 [14]

To solve this problem, the first thing you should keep in mind is the following conversion:
1 foot = 12 inches.
Therefore doing the conversion:
(12 inch) * (1 foot / 12 inch) = 1 foot.
The number of sections is:
N = (9 feet) / (1 foot) = 9
Answer:
you can get out 9, 12 inch sections of 9 foot calculator

8 0

3 years ago