Answer:
2^5
Step-by-step explanation:
2^4 × 2^6 ÷ 2^5
= 2^10 ÷ 2^5
=2^5
A definitely has to be one because it's a fact and you need to know what it looks like. B isn't true because the greatest integer function rounds down values. C is also not correct because a one-to-one graph has one x-value for every y-value. This one doesn't. D has to be true because f[0] = 0 because the Greatest Integer Function requires it to be. And E is also correct because that's in the definition of a Greatest Integer Function. So, your answers are A, D and E.
Answer:
≈ 108 m³
Step-by-step explanation:
You're searching for the volume of a cylinder. The formula needed to find it is V=πr²h.
In this case, the radius r is 1.4m and the height h is 35/2=17.5m, as it is only half filled.
Now when inserting values, you get: V=π*1.4²*17.5 which is 107.757 m³
The formula of an area of a rectangle:
A = wl
We have l = w - 4 and A = 21.
Substitute:
w(w - 4) = 21 <em>use distributive property</em>
(w)(w) + (w)(-4) = 21
w² - 4w = 21 <em>subtract 21 from both sides</em>
w² - 4w - 21 = 0
w² - 7w + 3w - 21 = 0
w(w - 7) + 3(w - 7) = 0
(w - 7)(w + 3) = 0 ↔ w - 7 = 0 ∨ w + 3 = 0
w = 7 ∨ w = -3 < 0
l = w - 4 → l = 7 - 4 = 3
<h3>Answer: the length = 3 u.</h3>
Answer:
Step-by-step explanation:
if u is an irrational number added to a rational number (sqrt 15) to yield 2, then that would mean u would = root -1.78.....
which means you wouldn't have a real solution. if you want a complex answer, it would be sqrt(1.78)i