All Answers 358160 Answers

Velocity has a magnitude and a direction.  The magnitude cannot be negative.

Hence I am sticking by my answer. 

( 2 + x - x^2) / ( 6 + 7x + x^2)   factor

[(2 - x)(1 + x)] / [(6 + x)(1 + x)] =

(2 - x) / ( 6 + x)

I may be wrong on this sence there are already two answers. I think both are correct.  Anyway here is the way I would find angle b that is easier for me to understand. 

Devide 5.(side A) into 15.(side B) = 3. this is the Tangent of Angle b

Inverse Tangent 3. to Decimal Degree = 71.56505118  D.D. of Angle b

Inverse D.D. 71.56505118 to Degrees, Minutes, & Seconds = 71'33'54.18"    this is the Angle you wanted

The way I prove my answer is (side B) 15. Squared = 225. plus (side A) 5. Squared =25  sum =250   find the Square root of 250 = 15.8113883 = this is the length of (side C)  (Short Leg Squared Plus short Leg Squares =  Sum of Hyp. must take square root of this Sum to get the Length of Hyp.) 

Sine of D.D. 71.56505118 =.948683298 times 15.8112883(side C) = Side B  or 15. 

Tangent of  D. D. 71.56505118 = 3. times 5.(side A)  = 15.

If you have any two figures on a right triangle the easest  way to find anything you want about the other angles or sides is use Square Root, and prove it with Sine or Tangent. For me it is (Square Root) (Sine) &      (Tangent)             

100000/365 = about 273.9 years

Yes, so if you know what b equals, you can put that number in for b around parenthesis.

We have 4b+8, and know that b = 8, so that means

4(8)+8 is our answer.

The parenthesis mean to multiply, so we multiply 4 times 8, and then add 8 to that.

4 x 8 = 32

add 8 to that

32+8 = 40

40 is the answer.

I believe (2+x)/(6+7x) should be your final answer, because you can't pull anything out of those numbers on both the top or bottom to be able to cancel them out.

$${\mathtt{12.5}}{\mathtt{\,\times\,}}{\mathtt{8}} = {\mathtt{100}}$$

What we need to do to simpify these is to "break down" theses square roots into smaller square roots so that we can simplify one of them.

So, here's how we'd go about doing this:

$$\sqrt{8}$$

$$\sqrt{4}\times\sqrt{2}\\$$

Now we can simplify the square root of 4 to 2, because 2 times 2 is 4.

$$2\times\sqrt{2}$$

And then just write the answer like so:

$$2\sqrt{2}$$

I'll do another one too and then let you do the rest.

$$\sqrt{45}$$

$$\sqrt{9}\times\sqrt{5}$$

$$3\times \sqrt{5}$$

$$3\sqrt{5}$$

And there you have it!

5 + 12 - 5*√9 + 10 *√100 - 45 *2   simplify the radicals, first

5 + 12 - 5*3 + 10*10 - 45*2            perform the multiplications from left to right

5 + 12 - 15 + 100 - 90                     now.....just add and subtract

17 - 15 + 100 - 90 =

2 + 10 =

12

Call the distance from A to B, x  =AB

And A to C is 2x  = AC

Then, B to C = AC - AB

And AC - AB = 2x - x = x = 5, therefore, x = 5

Then, AB = x =  5 and AC = 2(5) =  10 ......

10

10* sorry :D

15 inches

20 ft/ 13 sec = x ft / 3600 sec       cross-multiply

(3600 * 20)/ 13 =  about 5538.46 ft per hr   (a little more than 1 mile per hr)

I'm feeling lazy today, so I'm not gonna do some grand write-up of how I got the answer. However I'll give you the basics.

$$Grams \Leftrightarrow Mols \Leftrightarrow Atoms$$

Since you know how many atoms of calcium you have, you'll divide that number by Avogadro's Constant (6.022 x 10²³) to deduce the amount of mols of Calcium you have, giving:

$${\mathtt{0.516}}{\mathtt{\,\times\,}}{\mathtt{molCa}}$$

Checking the periodic table shows us that Calcium has a molar weight of 40.08g/mol Ca. Multiply the number of mols, and it's molar weight, giving:

$${\mathtt{0.516}}{\mathtt{\,\times\,}}{\mathtt{molCa}}{\mathtt{\,\times\,}}\left({\frac{\left({\mathtt{40.08}}{\mathtt{\,\times\,}}{\mathtt{gCa}}\right)}{\left({\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{molCa}}\right)}}\right) = {\mathtt{20.68}}{\mathtt{\,\times\,}}{\mathtt{gCa}}$$

Good luck.

It's possible if the worker is paid "double time" after 8 hrs.

So

$10 for 8 hours + $20 for 2 hrs. =

$80 + $40  =

$120

Still got a bee in our bonnet about an incorrect answer I gave back in December, have we? As flattering as it is that you've held on for so long, I'll have to ask you to get over it. Mistakes happen; I'm quite sure that you, yourself, are no angel.

Narcissists are an endearing breed. 

@Melody : Thank you, but I don't spend much time worrying about what other people have to say.

We have the position at any time is given by

P = -9.8t^2 + v₀t + h      where v₀ = 0.... and let P = 0 when it hits the water.....so we have

0 =-9.8t^2 + h    and at 1.2 sec, we have

9.8(m/s^2)(1.2 s)^2  = h  = about 14.1 m

The answer with no clasp is  = 5040.....the reason why is the we have a circle where the position of one of the shells is "set"......so we can arrange the others in 7! ways

With a clasp the answer is 40320, since when the clasp is undone and the braclet is laid out in a linear fashion, we have 8 ways to  choose which shell goes first in the chain, 7 ways to choose the second, etc.

ln(x) = -3

take e from both sides

x = e^-3

x =.05

Very cool, but I doubt I will be needing it anytime soon.

1/3 x 1/3 = 1/9 / 2/3 = 1/9 x 3/2 = 3/18 = 1/6