Answer:
Step-by-step explanation:
ok
Answer:
He will need to sleep 5.77 hours
Step-by-step explanation:
The first night, he slept 3 percent more than the previous night, meaning 5.28 + (5.28 x 3/100) = 5.28 + 0.1584 = 5.4384
The second night, he will need to sleep 3 percent more than the previous night, meaning 5.4384 + (5.4384 x 3/100) = 5.4384 + 0.163152 = 5.601552
The third night, he will need to sleep 3 percent more than the previous night, meaning 5.601552 + (5.601552 x 3/100) = 5.601552 + 0.16804656 = 5.76959856 = 5.77
Answer:
A. x = 9
D. x = 0
Step-by-step explanation:
The formula to solve a quadratic equation of the form
is equal to
![x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%28%2B%2F-%29%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%7D%20%7B2a%7D)
in this problem we have
so
![a=6\\b=-54\\c=0](https://tex.z-dn.net/?f=a%3D6%5C%5Cb%3D-54%5C%5Cc%3D0)
substitute in the formula
![x=\frac{-(-54)(+/-)\sqrt{-54^{2}-4(6)(0)}} {2(6)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-54%29%28%2B%2F-%29%5Csqrt%7B-54%5E%7B2%7D-4%286%29%280%29%7D%7D%20%7B2%286%29%7D)
![x=\frac{54(+/-)54} {12}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B54%28%2B%2F-%2954%7D%20%7B12%7D)
therefore
The solutions are x=0 and x=9
Answer:
m∠AOX = 40°
Step-by-step explanation:
If you look at <em>A</em> in the diagram, you can see the 40° beneath it, denoting that ∠A is 40°. When written as ∠AOX, this means "the angle that connects line A and line X at point O." This is to specify that angle A is ∠AOX and not m∠AOZ or m∠AOW or something. It's just a specification.
Answer: y = 1/4x
Step-by-step explanation:
If the constant of proportionality is K, then:
y = kr
In which equation do we multiply x by 0.25 to get y?
1/4 = 0.25