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how to solve for questions like 5-e^2x=-15

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I'm going to assume that you're asking this:

5 - e^(2x) = -15         .......subtract 5 from both sides and then multiply both sides by (-1)

-e^2x = -20

 e^(2x) = 20                 Now, take the "natural log," (ln), of both sides

ln e^(2x) =  ln 20          By a property of logs, the "2x" can be "brought out front" on the left side

(2x) lne = ln 20          and "lne" just equals 1     so we have

2x = ln 20                  so.......

x = ln 20 / 2  ≈  1.5

commission = 5.25% * sales = 0.0525 * sales

65.42 = 0.0525 * sales

sales = 65.42 / 0.0525 = $1246.10

what is log base 3 to the 9th

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You are asking this question...... ( log₃ )⁹  ........but that has no meaning

Do you mean this ???

log₃ 9

If so, then we are asking, "What power (exponent) do we need to put on the base (3) to raise it to 9?"

So we have, in exponential form,

3^x = 9

And x = 2

I believe this is what you are asking........

Generally, you can't.

However, you can change it into a fraction, if you're really into accuracy. Commom repeating decimals are usually over 3, 6, or 9. Some examples would be 1/3, 2/3, 1/6, 4/9 . . .

There is a pretty simple process to find the fraction form of a repeating decimal. Let me know if you are interested and I can explain it:)

If you mean on a number line,

Draw a line and label "5" on it.

Since 5 < a means that a is greater than 5, draw an open circle at 5 (closed circle would be for greater than/equal to)

Then shade the line to the right (greater would be going in the positive direction on a number line.)

And add in an arrow at the end to show that a goes on infinitely. 

An artist creates models of square pyramids. For each pyramid created, the height is 2 times the side length of the base, s. The cost of each pyramid is based on volume and is $0.30 per cubic centimeter.

The cost, C(s), in dollars of a pyramid with base side length, s, is given with the following function. 

Which statement best describes the coefficient of s³?

• the product of the ratio of the height to the side length and the price per cubic centimeter
  
•  

  the product of the ratio of the height to the base area, one-third, and the price per cubic centimeter
  
•  

  the product of the ratio of the height to the side length, one-third, and the price per cubic centimeter
  
•  

  the product of the ratio of the height to the base area and the price per cubic centimeter

   

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  The volume of a square pyramid in our example is  given by  V = (1/3)(s ²)(h)   Where s is the side length of the base (thus s ² is the area of the base) and h is the height.  In our example the height is twice the side length so we would have  V = (1/3)(s ²)(2s). And to get the total cost, we would multiply this volume by (.30). So we would have (1/3)(2)(.30)s ³ = (1/3)(2)(30/100)s ³ = (2/3)(30/100)s ³ = (20/100)s ³ = 0.2s ³ and the coefficient would be equal to the product of the ratio of the height to the side length (2), times one-third, times the cost per cubic centimeter (.30 or 30/100).

   

  Thus, the third choice is the correct one.

   

        

What does y=2 means?

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You might be refering to the graph of a line whose equation is y = 2. It's just a line parallel to the x axis that intercepts the y axis at the point (0, 2). Every point on the line has a y coordinate value of "2," no matter what its x coordinate value is.

The answer is 4/21! :D

You change the 18% to a decimal, and then multiply the decimal by 49! :D

Yep! Linear equations are straight lines! :D

it means that the letter y is equivalent or equal than the number 2 

i know how but i forgot

your welcome

i came in like a wrecking ball do you like milet cyrus i like miley cyrus wait what am i suppose to be doing again

it  is telling you to divide 4389 by two o get your final answer.

Could you give us a specific example of what you're having trouble with?? In general, we can only reduce them when the odd number divides the even. An even can never divide an odd.

If you go to the Formulary Tab at the top of the page, you'll find a "cylinder" app that will calculate this for you  

For arccosine, click "2nd" on the calculator, then "acos"

You can also just type in "acos("

Does 1/2x + 4y = 0 represent a direct variation ?

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Manipulating this a bit, we have

y = -(1/8)x

Notice that this is just a line with a negative slope that passes through the origin.....as x increases, y decreases

Thus we have an inverse variation.

2x+y=6 3x+y=2

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I assume you want to solve this system

2x+y=6

3x+y=2    

Let's just subtract the second equation from the first   We have

-x = 4     So

x = -4  

And putting this value back into the second equation, we find that

3(-4) + y = 2

-12 + y = 2     Add 12 to both sides

y = 14

So x = -4 and y = 14

You should check that these are correct by substituting them back into the first equation.

Multiply the base of the parallelogram and the height to find the area.

$${\mathtt{A}} = {\mathtt{bh}}$$

Base is the length of one side (the opposite sides of a parallelogram have the same length.)

Height is the distance of the perpendicular segment between the two opposite bases, not the slanted line.

cosx =1/9 what is the value of cos 1/2x

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Using the identity cos [x/2] = ±SQRT [(1 +cos(x) / 2] = ±SQRT [(1 + (1/9) / 2] = ±SQRT [5/9] =

±SQRT (5) / (3)

If x lies in the first quadrant, take the positive root; if x  lies in the fourth quadrant, take the negative root.

Re: randomly choosing 1 of 6 R's from a bag of 100 letter tiles

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(6C1) / (100C1) = 6 / 100  = 6%

why is cos(90)=0? (degrees)

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Think about this.....on a unit circle, the "x" value at pi/2 (90 degrees)  = 0 and the value of "r" always = 1.

Since the cos(θ) = x / r      then cos(90) = 0 / 1   =  0

Also, look at the cosine graph......notice at pi/2 that the curve crosses the x axis at that point, i.e., the value of the cosine at that point = 0

AHHHHHHHHH!!!!!! dino overload!!!!!!!!!! im dying. help me. ahhhhh

Thanks, Bertie.....I see where I made my error  (being in too much of a hurry!!)

Let's take it from here.....

log (10)(a^b) = log a^x       by a property of logs, we have

log 10 + log a^b = log a^x   and we have, using another log property

1 + (b) log a = (x) log (a)    

(b) log (a) = [ (x) log (a) - 1]     divide both sides by log (a)

b = [x - (1 / log (a)) ]    ≠   x/10

Thanks again, Bertie, for your sharp eyes!!!....I forgot that the "b" exponent wasn't being applied to the "10" (I hope I got it right this time !!!)