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SpyIntel [72]
3 years ago
12

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

Mathematics
1 answer:
astra-53 [7]3 years ago
7 0

Answer:

\frac{dy}{dx}=\frac{1}{2(x-4)}

Step-by-step explanation:

We are given that a function  

y=ln(x-4)^{\frac{1}{2}}

We have to find the derivative of the function

y=\frac{1}{2}ln(x-4)

By using lna^b=blna

Differentiate w.r.t x

\frac{dy}{dx}=\frac{1}{2}\times \frac{1}{x-4}

By using formula

\frac{d(lnx)}{dx}=\frac{1}{x}

\frac{dy}{dx}=\frac{1}{2(x-4)}

Hence, the derivative of function

\frac{dy}{dx}=\frac{1}{2(x-4)}

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What is 54.77 rounded to the nearest tenth ?
k0ka [10]
54.8. Hope that helped :)
4 0
2 years ago
How to change 7/10 to a percent
Ulleksa [173]

Answer:

70%

Step-by-step explanation:

since 7/10 is 0.7 as a decimal

you can then turn it into a percent by moving the decimal point two spots to the right

70 --> 70%

another way to do it is, to add zeros on both the numerator and denominator

then it is valued at 70/100

a percent is a number over 100

70 ---> 70%

your answer is 70%

hope this helps

7 0
2 years ago
A study of five hundred adults found that the number of hours they spend on social networking sites each week is normally distri
Nata [24]
Margin of error formula:
ME = z * (Sigma) / √ n
z = 1.96 for a 95 % confidence interval;
Sigma = 3 ( the population standard deviation )
n = 500
ME = 1.96 * 3 / √500 =
= 1.96 * 3 / 22.36 =
= 5.88 / 22.36 = 0.263
Answer:
The margin error for a 95% confidence interval is 0.263.
6 0
3 years ago
What's the probability of pulling two red cards in a row from a deck of cards?​
monitta

Hey there! I'm happy to help!

Let's say that we don't have jokers. In that case, there are 52 cards, and half of them are red (so 26 are red). The probability of pulling a red card once is 1/2 since half the cards are red.

If we pick one out, there are only 51 total cards left and 25 red cards. So, the probability of picking one again would be 25/51.

We multiply the probabilities of these two events to find the probability of them both happening.

1/2×25/51=25/102

The probability of picking two red cards in a row is 25/102 or around 24.5%.

Have a wonderful day! :D

8 0
3 years ago
Jack has a rectangular patio with a length that is one foot less than twice its width. His neighbor Ron's patio has the same wid
swat32

Answer:

difference in area = 16 ft²

if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft

if you use 13 the difference i length will be 25 - 18 = 7 ft

Step-by-step explanation:

Jacks rectangular patio

width = a

length = 2a - 1

area = lw

where

l = length

w = width

area = 120 ft²

a(2a - 1)

2a² - a - 120 = 0

(a - 8) (2a + 15)

a = 8 or -15/2

Ron's rectangular patio

width = a

length = a + 5

area = lw

area = 104 ft²

a (a + 5) = 104

a² + 5a -104 = 0

(a + 8)  (a - 13)

a = -8 or 13

How many square feet longer is jack patio longer than Ron's patio is the difference in their area. Therefore,

120 - 104 = 16 ft²

The value 8 or 13 can be used for a since the width a have to be the same.

if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft

if you use 13 the difference i length will be 25 - 18 = 7 ft

6 0
3 years ago
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