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3 years ago

How do I find the inverse of y=log⬇1/4 x^5

1 answer:

5 0

$f(x)=\log_{\tfrac{1}{4}}x^5\\
y=\log_{\tfrac{1}{4}}x^5\\
\left(\dfrac{1}{4}\right)^y=x^5\\
x=\left(\left(\dfrac{1}{4}\right)^y\right)^{\dfrac{1}{5}}\\
x=\left(\dfrac{1}{4}\right)^{\dfrac{y}{5}}\\x=\left(2^{-2}\right)^{\dfrac{y}{5}}\\x=2^{-\tfrac{2y}{5}}\\
f^{-1}(x)=2^{-\tfrac{2x}{5}}$

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Math experts please help!!!!

Shalnov [3]

Answer:

x is 72 degrees

Step-by-step explanation:

To find the measure of x, you need to know the sum of the interior angles of the pentagon.

Sum = (n - 2) x 180

Sum = (5 - 2) x 180

Sum = 3 x 180

Sum = 540

Now divide this by 5, the number of sides

540/5 = 108 degrees for each angle of the pentagon.

To find the measure of x, look at the opposite angle, which is 108 degrees

180 - 108 = 72

The measure of angle x is 72 degrees.

If this answer is correct, please make me Brainliest!

5 0

3 years ago

n airplane took off from an airport and traveled at a constant rate and angle of elevation. When the airplane reached an altitud

hram777 [196]

The angle of the plane when it rose from the ground is 64.8 degrees

<h3>Application of trigonometry identity</h3>

Given the following parameters from the question

Altitude of the airplane H = 500m

Horizontal distance from airport "d" = 235

Required

angle of elevation

According to the trigonometry identity

tan x = opposite/adjacent

tan x = H/d
tan x = 500/235

tan x = 2.1277

x = arctan(2.1277)

x = 64.8 degrees

The angle of the plane when it rose from the ground is 64.8 degrees

Learn more on angle of elevation here: brainly.com/question/88158

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7 0

2 years ago

HELP NEEDED ASAP GIVING BRAINLIEST AND PLEASE EXPLAIN

Dennis_Churaev [7]

Answer: (B is the answer.

Step-by-step explanation: The graph I attached corresponds with B.

Cross -3 by -2.

5 0

3 years ago

2 taps A and B can fill a swimming pool in 3 hours. If turned on alone, it takes tap A 5 hours less than tap B to fill the same

vazorg [7]

Answer:

Tap A will take 2 hours and tap B will take 6 hours to fill the tank when turned on alone.

Step-by-step explanation:

Let tap B fills the pool alone in the time = x hours

So in one hour part of pool will be filled = $\frac{1}{x}$

Another tap A when turned on, it takes time to fill the pool = x-5 hours

So in one hour part of the same pool filled = $\frac{1}{x-5}$

Now both the taps A and B are turned on then time taken to fill the pool = 3 hours.

Part of the pool filled in one hour by both the taps = $\frac{1}{3}$

Now we form an equation

Part of pool filled in one hour by tap A + Part of pool filled in one hour by tap B = Part of pool filled in one hour by both the taps when turned on

$\frac{1}{(x-5)}+\frac{1}{x}=\frac{1}{3}$

$\frac{x-5+1}{x(x-5)}=\frac{1}{3}$

$\frac{x-4}{x(x-5)}=\frac{1}{3}$

3(x - 4) = x(x - 5)

x² -5x = 3x - 12

x² - 8x + 12 = 0

x² - 6x - 2x + 12 = 0

x(x - 6) - 2(x - 6) = 0

(x -2)(x - 6) = 0

x = 2, 6 hours

We will take higher value of x as x = 6 hours for tap B.

Time taken by tap A = 6 - 4 = 2 hours.

Therefore, Tap A will take 2 hours and tap B will take 6 hours to fill the tank when turned on alone.

4 0

3 years ago

According to the graph, how far did the object move between the second and third seconds?

Setler79 [48]

Answer:

Your answer would be B

Step-by-step explanation:

This is because in between the 2nd and 3rd seconds, there is a 2 unit space so that is how far the object moved in between these seconds,

Hope this helps you out!! Have a good day:))

7 0

2 years ago