All Answers 358090 Answers

8 + (-4sqrt(3)/2) = 4.5358983848622454. 

What is the full question?

A common what? Also, what's the full question?

You can input this directly into the on-site calculator on the homepage.

sqrt(7) = 2.6457513110645906.

Hey, Rosala.

The last one about being lazy and going into energy-saving mode is hilarious! Reminds me so much of the environment and climate-energy class!

Thanks again for the wonderful and fun post!

4(3x-5) = -2(-x+8)-6x

Distribute the 4 and the -2.

12x - 20 = 2x - 16 - 6x.

Collect like terms: (2x - 6x).

12x - 20 = -4x - 16.

Add both sides by 20 and 4x.

16x = 4.

Divide by 16.

x = 4/16.

Simplify the fraction by dividing both top and bottom by 4.

x = 1/4.

Perimeter of a square with sides, s, is: s + s + s +s or simply 4s.

If 4s = 36 in., then each side = 36/4 = 9 in.

The area of a square is s^2 so 9^2 = 81 in.

Sorry sorry it's 4(3x-5)=-2(-x+8)-6x with tha variable at the end.

1/2  = .5

Just subtract the y's in some order.

The, subtract the x's in the same order.

Put the first result over the second in a fraction......that's the slope !!!

So we have  .......7 - (-3)  = 10

And, using the same order of subtraction, -4 - (-6) = 2

So.......  10 / 2 = 5   and that's the slope !!!

 1/2 (3y-2) +1/4(6y+5) =

(3/2)y - 1 + (3/2)y + 5/4 =

3y + 1/4

Every minute, the herd travels 1/10 of a mile. And every minute, the stray travels 1/6 of a mile.

18. It took the stray 1/12 of an hour to catch up. Note that, if the stray ran for 5 miniutes, the distance it would cover would have been (R * T)  =  (1/6)mi/min * 5 min = 5/6 mile.

19. Note that, in the five minutes it took the stray to catch up, the herd traveled R * T = x = (1/10) mi/min * 5 min = x = 1/2 mile

20. Note that, if the stray ran 5/6 of a mile, the herd  must have covered (5/6 - 1/2) = 1/3 of a mile while the stray stood still. To see why this is so, note that the herd travels (1/3) of a mile while the stray rests, and then travels another (1/2) mile in the five minutes the stray takes to catch up. So..... (1/3)mi + (1/2)mi = (5/6) mi. And that's how far the stray ran in the five minutes. In essence, the stray makes up (1/3) of a mile in 5 minutes. And this is so because his rate of (1/6)mi/min is being "retarded" by the (1/10)mi/min that the herd is traveling. So, his "efffective" rate  is just (1/6 - 1/10) = 1/15mi/min. And multiplying this by 5 min = 1/3 mi.

So our Equation in this part is:  (1/6 -1/10)t = d    where t is the time it takes the stray elephant to catch the herd once it starts running and d is the distance the herd traveled while the stray stood still.

So

(1/6 - 1/10)mi/min *(5)min = 1/3 mi

(1/15)mi/min * (5 min) = 1/3 mi.

Thanks, rosala...the little kid fleeing from day care and being pursued by the police??......priceless.....

-2/ (2/3) =

-2*(3/2) =

-6/2 =

-3

You can see the graph, here:

A nano is an order of magnitude that is 1 in a billion or 10^-9 

The number 0.15 nanoseconds is of course less than a nanosecond (1.0) by one order of magnitude. 

Using notation that's just the same as saying 1.5^-10, which is less than 10^-9 by one order of magnitude

20m * 85m = 1700m²

1- Remove the parantheses on the left side of the equation. 2- Multiply 4 by what's inside the parantheses on the right side of the equation. 

You'll have: -3x+2=-4x-4-4 which makes 

10=-x or x=-10 

Notice, rosala that if the number is divisible by 10, the square itself must end with a "0." And the only way that's possible is if the  number we are squaring itself ends with a zero.

Let's factor each number:

4 = 2^2

9 = 3^2

10 = 5 * 2

And notice, if I select all the different factors, I get 2, 3 and 5. And multiplying them together, we get 2*3*5 = 30.

Now square this number  ....30^2 = 900

And that's the smallest square that is divisible by 4, 9 and 10 !!!!

Why does this work?? .....Note that 900 = 25*36 = 25*9*4........so 4 and 9 will divide this, and since it ends in a "0," so will 10....!!!!!

Hope that helps!!

Put in standard form: y=(9x/2)-9 

Easy to graph without a calculator 

In your calculator type in 0.0595*9200. Should equal 547.4 like the latino king said 

negative one third

If you mean to enter any number to the power of a negative number: 1-type the number first 2- use shift+6 on the upper row of numbers on your keyboard. 

The number 6 should have the symbol (^) as a secondary character 

Thanks Alan!

$$\left({\begin{bmatrix}
{-{\mathtt{160}}} & {{\mathtt{20}}} & {{\mathtt{30}}}\\

{{\mathtt{20}}} & {-{\mathtt{210}}} & {{\mathtt{10}}}\\

{{\mathtt{30}}} & {{\mathtt{10}}} & {-{\mathtt{190}}}\\
\end{bmatrix}
}^{-{\mathtt{1}}}\right){\mathtt{\,\times\,}}\begin{pmatrix}
-{\mathtt{50}}
\\
{\mathtt{0}}
\\
{\mathtt{0}}
\end{pmatrix}
= \begin{pmatrix}
{\mathtt{0.326\: \!711\: \!541\: \!618\: \!781\: \!8}}
\\
{\mathtt{0.033\: \!656\: \!214\: \!086\: \!356\: \!9}}
\\
{\mathtt{0.053\: \!357\: \!412\: \!575\: \!931\: \!7}}
\end{pmatrix}$$

Hi Alan yeah i see what you mean about a bug in the calculator. I was practicing finding matrix inverses today and put in a matrix from the book i'm reading. Put in all 0's on the B matrix and i got the same answer as the book but two of the numbers were signed as being - instead of +. I don't know why that is apart from there's something wrong there.

Anyway when i corrected the signs and took the negatives off and multiplied with the constants matrix i got the correct answer.

It's all fine but the problem would be if you didn't recognize that there was an issue there. You'd be getting the answers all wrong probably and racking your brain to work out why!!

 Gary