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3 years ago

Find the inverse of the function: y=log₂(-4x)

Mathematics

1 answer:

Vlad1618 [11]3 years ago

5 0

Answer:

-2^(x-2)

Step-by-step explanation:

Using differential calculus:

We know that the integral of 1/x = ln(x)

or 2x/ln(2) = log2(x), so we plug in our knowledge and chain rule to figure out that the answer to the inverse is -2^(x-2) :)

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you send out 20,000 emails of 6% are opened of those 9% clicked on the link to register for something of those who clicked on th

nikitadnepr [17]

Answer:

<u>Rounding to the next whole, 33 persons completed the registration</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Number of e-mails sent out = 20,000

Number of e-mails opened = 6%

Number of e-mails that clicked on the link to register = 9% of the 6%

Number of e-mails that completed the registration = 30% of 9% of 6%

2. How many people completed the registration?

Let's do all the calculations to answer the question, this way:

Number of e-mails opened = 6 % of 20,000

Number of e-mails opened =0.06 * 20,000 = 1,200

Number of e-mails that clicked on the link to register = 9% of the 6%

Number of e-mails that clicked on the link to register = 0.09 * 1,200 = 108

Number of e-mails that completed the registration = 30% of 9% of 6%

Number of e-mails that completed the registration = 0.3 * 108 = 32.4

<u>Rounding to the next whole, 33 persons completed the registration</u>

6 0

3 years ago

Read 2 more answers

What are these numbers in order from greatest to least

DerKrebs [107]

Answer : Square root of 21 , -4 2/3, -30/7 , -31/6 .

Explanation :

-4 2/3 = -10/3 = -3.3333
Square root of 21 = 4.58258
-31/6 = -5.1666
-30/7 = 4.2857

And arrange them from greatest to least and there we have the answer.

Hope this helps you understand !!!!

4 0

3 years ago

The surface area of this rectangular prism is 34 square centimeters. What is the volume is the width is 1 cm, the length is 2 cm

Bezzdna [24]

Answer: $10\ cm^3$

Step-by-step explanation:

Given

The surface area of a rectangular prism is $34\ cm^2$

Width of prism $w=1\ cm$

Length of prism $l=2\ cm$

height of prism $h=x\ cm$

Surface area is given by

$S.A.=2[lw+wh+hl]$

Put values

$34=2[2\times 1+1\times x+2x]\\17=2+3x\\15=3x\\x=5\ cm$

Now, the volume of Prism is given by

$V=l\times w\times h$

$\Rightarrow V=2\times1\times 5=10\ cm^3$

8 0

2 years ago

of the 50 students particapating in after school sports ,30% of them turned them in .How many students turned in their physical

Readme [11.4K]

Answer:

Step-by-step explanation:

30% of 50 is 15 beacuase 50 is 1/2 of 100, and of 100 students 30 would have submtted forms. 1/2 of 30 is 15 which s the number of students that turned n forms

7 0

3 years ago

Find the equation that represents the relationship between the variables.

galben [10]

to get the equation of any straight line, we simply need two points off of it, hmmm let's use (0 , 10) and (8 , 30) from the table

$(\stackrel{x_1}{0}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{30}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{30}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{0}}}\implies \cfrac{20}{8}\implies \cfrac{5}{2}$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{\cfrac{5}{2}}(x-\stackrel{x_1}{0}) \\\\\\ y-10=\cfrac{5}{2}x\implies y=\cfrac{5}{2}x+10$

3 0

2 years ago