7^4 x 7^-9=<span>0.000059
</span>Thats your answer
i hope it helped you
To find the answer we can first convert inches into centimeterms then milimeters:
1 inch = 2.54cm
1cm = 10 mm
1inch = 2.54 × 10 = 25.4mm
The length of the paper:
11x25.4
=279.4mm
Therefore 279.4mm is the answer.
Hope it helps!
Answer:
4/8
Step-by-step explanation:
To do this, multiply the whole fraction by 4/4 (which is like multiplying by 1/1). So 1/2 x 4/4 becomes 4/8 :)
Answer:
x=-2 (the actual solution)
x=-5 (the extraneous solution)
Step-by-step explanation:
First step is to isolate the radical part (the part with the square root).
So we will add 4 on both sides first:
![\sqrt{x+6}=x+4](https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B6%7D%3Dx%2B4)
To get rid of square we are going to square both sides:
![x+6=(x+4)^2](https://tex.z-dn.net/?f=x%2B6%3D%28x%2B4%29%5E2)
We are going to expand right hand side (you can use "F.O.I.L":
![x+6=x^2+4x+4x+16](https://tex.z-dn.net/?f=x%2B6%3Dx%5E2%2B4x%2B4x%2B16)
Subtract x on both sides and subtract 6 on both sides:
![0=x^2+4x+4x-x+16-6](https://tex.z-dn.net/?f=0%3Dx%5E2%2B4x%2B4x-x%2B16-6)
Combine like terms:
![0=x^2+7x+10](https://tex.z-dn.net/?f=0%3Dx%5E2%2B7x%2B10)
We will now factor:
(Since 2(5)=10 and 2+5=7)
Set both factors equal to 0:
x+2=0 or x+5=0
Solve first equation by subtracting 2 on both sides to obtain x=-2.
Solve second equation by subtracting 5 on both sides to obtain x=-5.
Now let's check to see if these are both actually indeed solutions to the equation we began with:
for
:
![\sqrt{-2+6}-4=-2](https://tex.z-dn.net/?f=%5Csqrt%7B-2%2B6%7D-4%3D-2)
![\sqrt{4}-4=-2](https://tex.z-dn.net/?f=%5Csqrt%7B4%7D-4%3D-2)
![2-4=-2](https://tex.z-dn.net/?f=2-4%3D-2)
is a true equation so
is indeed a solution.
for
:
![\sqrt{-5+6}-4=-5](https://tex.z-dn.net/?f=%5Csqrt%7B-5%2B6%7D-4%3D-5)
![\sqrt{1}-4=-5](https://tex.z-dn.net/?f=%5Csqrt%7B1%7D-4%3D-5)
![1-4=-5](https://tex.z-dn.net/?f=1-4%3D-5)
is false so
is what we call the extraneous solution.
Answer:
see explanation
Step-by-step explanation:
Differentiate using the product rule
Given y = f(x)g(x), then
= f(x). g'(x) + g(x). f'(x)
here f(x) =
⇒ f'(x) = ![e^{x}](https://tex.z-dn.net/?f=e%5E%7Bx%7D)
g(x) = cosx ⇒ g'(x) = - sinx
Hence
=
(- sinx) + cosx ![e^{x}](https://tex.z-dn.net/?f=e%5E%7Bx%7D)
=
cosx -
sinx