Answer:
150 units^2
Step-by-step explanation:
A cube has all equal sides. This one has five units for every side.
There are 6 faces here, and 4 vertices for every face.
The equation would look like this 6 x side^2.
Which would also equal to 6 x 5^2.
If you do this, you will find that the answer is 150 units^2.
Answer:
See Below.
Step-by-step explanation:
We want to show that the function:

Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
![\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5Be%5Ex%20-%20e%5E%7B-x%7D%5Cright%5D)
Differentiate:

Simplify:

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>
Answer:
2750
Step-by-step explanation:
10% of 2500 is 250
250 + 2500 = 2750
Answer:
the greatest common factor is 1.
Step-by-step explanation:
The factors of 3 are: 1, 3
The factors of 3 are: 1, 3
The factors of 4 are: 1, 2, 4
The factors of 5 are: 1, 5
The factors of 5 are: 1, 5
The factors of 17 are: 1, 17
Then the greatest common factor is 1.
Step-by-step explanation:
such a scale factor applies to all sides and lines.
we see that DE is 12 units, and AB is 4 units.
so,
12×f = 4
f = 4/12 = 1/3 is the scale factor
control : check the other side
FE = 6 units
6 × 1/3 = 2
so, the corresponding side in the small triangle must be 2 units long.
and indeed, CB is 2 units long. all correct.