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german
2 years ago
7

Differentiate the following equation

Mathematics
1 answer:
Bingel [31]2 years ago
4 0

Answer:

\frac{dy}{dx} = \frac{4}{1-x}

Step-by-step explanation:

    y = 3 - 4ln(1 - x)

⇒ \frac{dy}{dx} =3\frac{d}{dx} -4ln(1-x)\frac{d}{dx}

⇒ \frac{dy}{dx} =0 -4ln(1-x)\frac{d}{dx}

⇒ \frac{dy}{dx} =0 -4(\frac{1}{1-x})\times-1

⇒ \frac{dy}{dx} = \frac{4}{1-x}

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Set a timer for 20 seconds. Next, get ready to walk! Start the timer and count the number of steps you take in 20 seconds. Now f
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Answer:

1. 2.5 steps per second

2. 1.25 steps

Step-by-step explanation:

6 0
3 years ago
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 higher than in the firs
Rus_ich [418]

0.035x+0.045x=427.50
0.08x=427.50
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x+x+1500=5343.75
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8 0
3 years ago
7. If the longer leg of a right triangle is twice as long as the shorter leg, what is the ratio of
kicyunya [14]

Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.

Step-by-step explanation:

I suppose that the "legs" of a triangle rectangle are the cathati.

if L is the length of the shorter leg, 2*L is the length of the longest leg.

Now you can remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

Then there is one acute angle calculated as:

Tan(θ)  =  (shorter leg)/(longer leg)

Tan(φ) = (longer leg)/(shorter leg)

And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.

Then we need to find θ and φ.

Tan(θ) = L/(2*L)

Tan(θ) = 1/2

θ = Atan(1/2) = 26.57°

Tan(φ) = (2*L)/L

Tan(φ) = 2

φ = Atan(2) = 63.43°

Then the ratio between the larger acute angle and the smaller acute angle is:

R = (63.43°)/(26.57°) = 2.39

This means that the larger acute angle is 2.39 times the smaller acute angle.

5 0
3 years ago
What positive value of x makes the following equation true: 125 = x^3? Explain
alina1380 [7]

Answer: The correct answer is x=5

Step-by-step explanation:

x=2−5−−75​​=2−5−5i3​​=−2.5000−4.3301i

x=2−5+−75​​=2−5+5i3​​=−2.5000+4.3301i

x=5

Hoped I helped

can you mark me as brainliest

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3 years ago
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Is this the whole question?
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