The answer is a! i hope this helps you!
Answer: [0, 396]
Step-by-step explanation:
The domain is the acceptable values of x in the function. In this case, x = t, the number of tiles. If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles). So, the domain for this function is from 0 to 44.
0 to 44 written in interval notation is [0,44].
The range is the acceptable values of y in the function. In this case, y = A, the area given. A(t) = 9t, so you can use the acceptable values of t to get the range. Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.
A(t) = 9t
A = 9(44)
A = 396
With the maximum number of tiles, 44, the area you get is 396 cm². Therefore, the acceptable values of A are from 0 to 396.
0 to 396 written in interval notation is [0, 396].
Answer:
60.0 L
Step-by-step explanation:
Ideal gas law:
PV = nRT
where P is absolute pressure,
V is volume,
n is number of moles,
R is gas constant,
and T is absolute temperature.
Since n and R don't change:
P₁V₁ / T₁ = P₂V₂ / T₂
(1.08 atm) (50.0 L) / (25 + 273.15 K) = (0.855 atm) V / (10 + 273.15 K)
V = 60.0 L
The value of the composite function is 20
<h3>Composite function</h3>
Composite function is also known as function of a function
Given the following expression as shown below;
f(x)= 2x^2 -4x +9
g(x)= 4x +1
Determine (fog)(x)
f(g(x) = f(4x+1)
f(4x+1) = 2(4x+1)^2-4(4x+1)+9
f(4x+1) = 2(16x^2+8x+1)-16x-4+9
f(4x+1) =13x^2+16x+2-16x+5
f(4x+1) = 13x^2 + 7
If the value of x is -1, hence;
f(4x+1) = 13(-1)^2 + 7
f(4x+1) = 20
Hence the value of the composite function is 20
Learn more on composite function here: brainly.com/question/13502804
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