Helpppp!!!!!!!!!!!!!!

Reduce to simplest form.

Shkiper50 [21]

Answer:

11/6

Step-by-step explanation:

$\dfrac{6}{3}+\left(-\dfrac{1}{6}\right)=\dfrac{12}{6}-\dfrac{1}{6}=\dfrac{12-1}{6}\\\\=\boxed{\dfrac{11}{6}}$

As a mixed number, this is 1 5/6.

3 0

3 years ago

Suppose you are doing a binary search of the list [15, 18, 2, 19, 18, 0, 8, 14, 19, 14]. How many comparisons would you need to

Illusion [34]

Answer:

Three Times.

Step-by-step explanation:

First and foremost a binary search requires that the array be sorted in ascending or descending order.

After the initial step the search goes to the middle most value

i.e. $[0, 2,8,14,14,15,18,18,19,19]$

will be the second 14, which is the first iteration.

Since 14 is less than 19 the search will eliminate the lower half of the including 14, and will iterate again through the array:

$[15,18,18,19,19]$

The array will go to the middle most value which is 18, second iteration. Since 18 is less than 19, the program will eliminate the lower half and be left with two values i.e. $[19,19]$ .

The search will run once i.e. third iteration, and will return key value found.

7 0

3 years ago

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

ludmilkaskok [199]

Answer:

$\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}$

Step-by-step explanation:

Given:

$y = \ln{\left(\dfrac{x + 1}{x - 1}\right)^{\frac{1}{2}}$

using the properties of log we can take the power 1/2 and multiply it.

$y = \dfrac{1}{2}\ln{\left(\dfrac{x + 1}{x - 1}\right)$

now we can differentiate:

$\dfrac{dy}{dx} = \dfrac{1}{2}\dfrac{1}{\left(\dfrac{x + 1}{x - 1}\right)}\left(\dfrac{d}{dx}\left(\dfrac{x+1}{x-1}\right)\right)$

$\dfrac{dy}{dx} = \dfrac{1}{2}\left(\dfrac{x - 1}{x + 1}\right)\left(- \dfrac{2}{\left(x - 1\right)^{2}}\right)$

$\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}$

this is our answer!

8 0

3 years ago

Charlie made $198 for 11 hours of work. At the same rate, how many hours would he have to work to make $126?

goldenfox [79]

Answer:

Charlie would have to work 7 hours to make $126.

Step-by-step explanation:

198 ÷ 11 = 18

$18 - 1 hour

126 ÷ 18 = 7

4 0

3 years ago

Kevin asked his trainee, Anna, to help call some of his clients to sell a newly-issued municipal bond. If he had to call all of

weqwewe [10]

Answer:

3.6 hours

Step-by-step explanation:

To solve, create a Rate, Time, Work chart:

Work is rate times time. For Kevin, his work is going to equal x over 6 job. For Anna, her expression for work will equal x over 9 job.

The work is 1 job of calling all clients, so their combined work is equal to 1.

x over 6 plus x over 9 equals 1

In the rational equation, x is the amount of time it takes Kevin and Anna to call the clients together. With rational equations, the terms can be added together once they have common denominators.

x over 6 plus x over 9 equals 1

fraction numerator begin display style x left parenthesis 9 right parenthesis end style over denominator begin display style 6 left parenthesis 9 right parenthesis end style end fraction plus fraction numerator begin display style x left parenthesis 6 right parenthesis end style over denominator begin display style 9 left parenthesis 6 right parenthesis end style end fraction equals fraction numerator begin display style 1 left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end style over denominator left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end fraction

fraction numerator 9 x over denominator 54 end fraction plus fraction numerator 6 x over denominator 54 end fraction equals 54 over 54

9 x plus 6 x equals 54

15 x equals 54

x equals 3.6

If Kevin and Anna work together, they can call all the clients in 3.6 hours.

7 0

3 years ago