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 8*2-1=17    wrong!!!

Another way to calculate an 'x'       1/2 [ x (2x-1)] = 60 

Here's a hint on how to do the problem: 

First, plug in the number 6 into f(6) and then use a similar technique to solve for f(10) and f(15) (Plug in 10 and 15 into f(x) to find f(10) and f(15)). Then, plug in the values of f(6), f(10), and f(15) into S and compute S. Lastly, divide S by 30 and you should get the answer.  

Note: I believe that you can probably do this problem with a little help, so I'm not going to write down the answer.

A side of one equilateral triangle is congruent to an altitude of another equilateral triangle.  What is the ratio of their areas?

1st Δ        side = 1        height = 0.866025403         area = 0.433012701 u²

2nd  Δ        height = 1          side = 1.154700538       area = 0.577350269 u²

The ratio of their areas is  3/4  

Here's another solution:

3^x = 5 can be written as log₃(5) = x and 5^y = 9 can be written as 2*log₅(3) = y. Thus, xy is just log₃(5)*2*log₅(3) = 2*1 = 2. 

i think Ziggy meant that you should go to Brainly or something for science and other things, this site revolves around math.

I got this for the gf(x)

3x^3+9x^2-12

Since I  multiplied the functions together

It doesn't make sense since if you have a x^2 already and multiply by x that's x^3

So I'm confused about the question.

f(f(x)) = 4 implies that f(x) must have been -1, or 4.5

This is since f(-1) = 4 and f(4.5) = 4

These are *probably* the only solutions

Onwards!

If the f(x) is -1, then it must mean that x = -4. -4 + 3 = -1. It cant be the solution from 2y-5 as it is negative.

for f(x) = 4.5, it is positive, so 2y-5 = 4.5

2y = 9.5

y = 4.75

Let's check our work.

f(f(-4)) = f(-4 +3) = f(-1) = -(-1) + 3 = 4!

f(f(4.75)) = f(9.5 -5) = f(4.5) = 9- 5 = 4

I am sure these are the only solutions

-4 + 4.75 = 0.75

If you don't understand anything feel free to ask!.

If I am not correct then it is:

We get that Y=75 because the triangle is isoceles and (180-30)/2=75 we make a new iscoeles triangle where that Y is an angle.We find out that the angle is 30 degrees by similar triangles and subtract 77.5-30 to get 47.5 then we do 47.5*2=95 and we finally do 180-95=75 to get X=75 so X+Y=75+75=150 so at last the answer is X+Y=150

We get that Y=75 because the triangle is isoceles and (180-30)/2=75 we make a new iscoeles triangle where that Y is an angle.We find out that the angle is 30 degrees by similar triangles and subtract 80-30 to get 50 then we do 50*2=100 and we finally do 180-100=80 to get X=80 so X+Y=80+75=155 so at last the answer is X+Y=155

Never mind, I solved this!

you can't take a calculator everywhere so just figure out a trick it is fun 

I'm sure that Ziggy is right becuase that is what I did also

so we take the last digits of the number and multiply them to get 4*9*3*6 and that is 648 so we take that last number to get 8 and the last digit of the product of 684 * 59 * 413 * 76 is 8

n=12 since \(365\)<\(\dbinom n4\) and \(\dbinom {11}4\)=330 and \(\dbinom {12}4\)=495 so n=12

hmm i think guest wanted it to be simplified exactly (like in simpler terms of radicals)...

here's my try at this problem:

\(\sqrt{5+\sqrt{24}}=\sqrt{5+2\sqrt{6}}\)

so we can express \(\sqrt{5+2\sqrt{6}}\)  in the form of \((a+b)^2\)

so we know that \(a^2+b^2=5 \text{ and } 2ab=\sqrt{6}\), so it's really easy to figure out that \(a=\sqrt{2} \text{ and } b=\sqrt{3}\)

so this would become \(\sqrt{(\sqrt{2}+\sqrt{3})^2}\)

which means the equation is really just equal to \(\boxed{\sqrt{2}+\sqrt{3}}\)

i hope this helped you! :)

T≈−24.945077 since we first subtract 0.000115T^3+0.000588t^2+1.732516t+1344.637096 from both sides.Then we simplify it into 1300−(0.000115t3+0.000588T2+1.732516T+1344.637096)=0.000115T3+0.000588t2+1.732516t+1344.637096−(0.000115t3+0.000588T2+1.732516T+1344.637096)−0.000115T3−0.000588T2−1.732516t−44.637096=0

Slide to see full explanation

The area of rectangle ABCD is 40, with AB = 8.  M is the midpoint of AB, and N lies on CD such that CN = 2.  Find the area of quadrilateral MBCN.

A_mbcn = ( 40 / 8 ) * 3  

AD / DB = DB / CD  

well atleast i post it off-topic tho

wow thanks!

The second graph is shifted three units to the right from the graph of y = f(x), so the equation of the second graph would be y = f(x - 3).

i'm pretty sure there's a much better way to do this but here's my solution:

\(3^x=5 \text{ is equal to } \dfrac{\text{ln}(5)}{\text{ln}(3)}\)

\(5^y=9 \text{ is equal to } \dfrac{\text{ln}(9)}{\text{ln}(5)}\)

so, \(xy\) is equal to \(\dfrac{\text{ln}(5)}{\text{ln}(3)} \cdot \dfrac{\text{ln}(9)}{\text{ln}(5)}=\boxed{2}\)

∠Y = (180-30) / 2

∠X = ( 360-30-90-90 ) / 2

Why don't you enter it in the calculator on this site ??

684 * 59 * 413 * 76 =1,266,694,128

We can simplify the problem by doing 4*9*3*6 = 648, so the answer is 8.