2) Period = 3π,
2π/b = 3π, b = 2π/3π = 2/3
Amplitude = 2
Midline = 1
Equation: f(x) = 3sin(2/3(x)) + 1 (no vertical shift)
See attachment for graph.
3) f(x) = -23sin(4x) + 14,
a) amplitude = 23
b) midline = 14
c) Maximum = 37
d) Minimum = -9
Answer:
6a) 1
6b) 11
7a) 4
7b) 10
8a) 6
8b) 14
9a) 11
9b) 13
Step-by-step explanation:
In order to make a triangle, we need to follow this property:
a <= b + c
(Known as "triangle inequality")
Where 'a' is the bigger side and 'b' and 'c' are the other two sides.
So, using this property, we can solve the following problems:
6a) Maximum side will be 6:
6 <= 5 + c
c = 1
6b) Minimum sides will be 5 and 6:
a <= 5 + 6
a = 11
7a) Maximum side will be 7:
7 <= 3 + c
c = 4
7b) Minimum sides will be 3 and 7:
a <= 3 + 7
a = 10
8a) Maximum side will be 10:
10 <= 4 + c
c = 6
8b) Minimum sides will be 4 and 10:
a <= 4 + 10
a = 14
9a) Maximum side will be 12:
12 <= 1 + c
c = 11
9b) Minimum sides will be 1 and 12:
a <= 1 + 12
a = 13
Answer:
Me either
Step-by-step explanation:
3h - 8h + 10 = 10 - 5h
-5h + 10 = 10 - 5h
infinitely many solutions
Answer:
Yes this compound could be shown to be butane, specifically, it can be shown to be 9 molecules of butane. Check Explanation for more.
Step-by-step explanation:
Butane contains 10 hydrogen atoms for every 4 carbon atoms. It's molecular formula is C₄H₁₀
The hydrocarbon compound presented has 36 carbon atoms and 90 hyfrogen atoms
If the ratio of each of these atoms present is also in the ratio 4:10 like C:H, then, it can be inferred that the compound is indeed Butane
C | H
36 | 90
dividing through by 9, we have
C | H
4 | 10
which is the exact ratio of Carbon to Hydrogen in butane.
Hence, the unknown compound is most likely 9 molecules of butane
9C₄H₁₀ = 36 carbon atoms and 90 hydrogen atoms.
Hope this Helps!!!
