PBJcatalinasandwich

This can be 11 choose 3, or 11*10*9.

\(990\)

Considering the fact that this line is parallel to the slope represented by this equation, we know that the y-intercept is different, but the slope remains the same.

We change this equation into y = ax+b form:

y = 4x + 13

and substitute the y- intercept for b

y = 4x + b

we then substitute the values of the given coordinate into the equation:

23 = 4(4)+b

then simplify

23 = 16 + b

7 = b

substitute 7 for b, and we get:

\(y = 4x + 7\)

I believe the answer to this question is:

\(24\)

Simplify via distribution:

45<9x+27<153

subtract:

18<9x<126

divide by 9

2

6*6 = 36. because the 2000 does not mattter, because it increments by 6, it is the difference of the sequence.

Since this is a Linear graph, and the slopes are different, and the lines extend forever on both ends, then they will intersect, but only on one point.

The answer is 1.

Alright.

Let's start

So we know a rectangle has 2 long sides and 2 squishy short sides(width and length)

So we start with one "set" of width and length, which is 

the perimiter divided by 2

24/2 = 12

now the length is 3* the width

so 3 lengths and 1 width in the set, with each "set" having 4 "units"

so 12/4 = 3

3*3 units = 9 for longside, and 3 for short side

3*9 = 27 units of area

Thank you!

Ah, that makes much, much more sense now. My answer was a bit different, sitting at \(\fbox{1.9 MW}\)

\(\frac{31}{52}*\frac{4}{51}*\frac{3}{50}=\frac{31}{11050}\)

Since it's a zero coupon bond, there's no interest rate. But you can only cash it out after 20 years to make up for that interest. We already know you can only cash that bond out after 20 years. The growth should be linear.

The US Treasury states that:

However, if you hold the bond to its 20-year maturity, your return will jump considerably to a compounded rate of return of roughly 3.5% per year. This is because the U.S. Treasury guarantees that an investment in a Series EE bond will double in value after 20 years.

3.5% per year. We'll assume that you this zero interest bond grows according to the normal interest rate.

Use the equation  A = P(1 + rt), and figure it out. 

Also, since you're using Rupees as your currency, maybe you need to convert to USD or Euros.

Ah. I constantly forget to pay attention to the details. Thanks for the heads up!

\(\fbox{42}\)

Try contacting google/firefox/safari/whatever browser you're using tech support. 

Doesn't seem legit to me. Normally ad blockers use a webscraping script to identify ads whenever you open a page, and it should be done as soon as soon as the page loads. If it still persists, delete this adblocker and get a new one.

Alright, let's break this down by simplifying it.

\((6x+1/3x)^2 \)

\(=(6x+\frac{1}{3x})^2\)

Now we can apply the formula

 \((a+b)^2=a^2+2ab+b^2\)

or in this case,

\((6x + \frac{1}{3x})^2 = 6x^2+2(6x)\frac{1}{3x}+\frac{1}{3x}^2\)

which will become:

6x^2 + 4 + 1/3x², since 2*6x is 12x, and 12x+1/3x is 12x/3x. Divide by 3x and you get the answer, \(\fbox{4}\)

Alright. So we know that the interior angles of a triangle add up to 180 degrees, so we find the interior angles of each angle by subtracting the exterior angle from 180.

\(1: 180-158=22\)

\(2:180-99=81\)

Therefore, 22+81+c(the third angle) must be 180.

103+c=180

\(\fbox{c=77}\)

It's actually 30 feet shorter. Don't worry. Just a mere typo.