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To find the % increase we can use

(New value - Old value) / (Old value)

(102.4 - 79.4) / 79.4 = 23 / 79.4 = 28.97% increase

To find the square root of N, iterate the formula: x_n = (1/2)(x_n-1 + N/x_n-1)

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We only need to be concerned with things that make the denominators = 0

In the first fraction, x = 64 makes the denominator = 0

In the second, setting the denominator = 0, we have....  x^2 - 64 = 0.......factoring, we have (x - 8)(x + 8) = 0

Setting each factor to 0, gives us x =8 and x = -8......and these are the two values that make the denominator = 0

In the third fraction....setting the denominator = 0 fgives us  x^3 - 64 = 0....add 64 to both sides

x^3 = 64.....take the cube root of both sides and we find that  x = 4

So 64, -8,  8 and 4 are not in the domain of the function.

Just set 3a - 4 = 0 and solve....this will tell you what "a" makes the function = 0.

Post back if you have trouble.....

14/3x^2=-1/4 ....multiply both sides by  4

56/3x^2 = -1  ....multiply both sides by -3x^2

-56 = 3x^2     ....divide both sides by 3

-56/3 = x^2    .....tke the square root of both sides

±√(-56/3) = x = ±i √(56/3) = ±2i √(14/3) = ±(2/3)i √(42)

I'll give you some points, anyway.....

You beat me to it, CPhil.

The square root of 324  = 18

The square root of 25 = 5

So we have ..... 18/5

Standard form is Ax + By = C.....so....multiply through by 3....this gives

3y = 2x + 21     now.......subtract 3y and 21 from both sides...this gives

 - 21 = 2x - 3y  ..... or......2x - 3y = -21

And that's in standard form

OK....no prob.....

I understand, I just made a mistake for a minute but corrected myself.

Gotta be careful here, Mathematician...

What you are doing is evaluating  -5^4 and -5^2

But.......what we should be doing is evaluating (-5)^4  and (-5)^2

See the difference??? 

Remember, "x" is like a box that is holding something.....the sign on "x" is outside the box.... 

Oh, I should have caught onto that.

This just evaluates to a number.....we don't have inverses for numbers....that term only applies to functions....

This says that we want to put 5  into the function and evaluate the result. Then, we want to put -5 into the function and evaluate that result. Then, we want to subtract the second result fom the first.

However, 5 and -5 put into the first two terms give the same result..and subtracting like results = 0....so we can ignore these

And putting 5 into the last term = 25   .....and -5 into the same term = -25

So   25 - (-25) = 25 + 25 = 50

I'm fine without points, I just was curious why my answer was downvoted. Thank you for explaining.

Can you give us all the information you have (like the actual problem)?

We can't have a denominator with equalling 0.

Notice in the first fraction that -8 makes the denominator 0

Nothing makes the second denominator 0.

In the third fraction, -2 makes the denominator 0.

So, in terms of real numbers, the domain is  (-∞, -8) U  (-8, -2) U (-2, ∞)

All you need to do is convert 2/3 into an integer. You can do this by dividing 2 by 3 either on paper or with the site calculator. When you write down the answer you will need to know that when you have a repeating decimal, there is a line over the part that repeats.

I'm not certain, but I think you have to subtract 5 - (-5) = 5 + 5 = 10 for the function. Then you replace all of the x's in $${{\mathtt{x}}}^{{\mathtt{4}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{x}}}^{{\mathtt{2}}}$$ + 5x with 10's. Doing that, we have $${{\mathtt{10}}}^{{\mathtt{4}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{10}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{5}}{\mathtt{\,\times\,}}\left({\mathtt{10}}\right)$$. $${{\mathtt{10}}}^{{\mathtt{4}}} = {\mathtt{10\,000}}$$, $${{\mathtt{10}}}^{{\mathtt{2}}} = {\mathtt{100}}$$, 5(10) = 50 . Then we have 10000+100+50 which can be easily added together to get the answer.

I was assuming that we knew everything but the radius.......

FYI you should start learning how to count. It has 19 bars.

i need the hight

Sorry, Mathematician......that was a mistake on my part......just post any reply to this....and I'll give you 3 points  (I already went back and wiped out the -1)

Yes, but you need to know the height.