Answer:
the graph one is G and the second one is C hope this helps
Answer:
a
Step-by-step explanation:
add all together
Answer
(a) 
(b) 
Step-by-step explanation:
(a)
δ(t)
where δ(t) = unit impulse function
The Laplace transform of function f(t) is given as:

where a = ∞
=> 
where d(t) = δ(t)
=> 
Integrating, we have:
=> 
Inputting the boundary conditions t = a = ∞, t = 0:

(b) 
The Laplace transform of function f(t) is given as:



Integrating, we have:
![F(s) = [\frac{-e^{-(s + 1)t}} {s + 1} - \frac{4e^{-(s + 4)}}{s + 4} - \frac{(3(s + 1)t + 1)e^{-3(s + 1)t})}{9(s + 1)^2}] \left \{ {{a} \atop {0}} \right.](https://tex.z-dn.net/?f=F%28s%29%20%3D%20%5B%5Cfrac%7B-e%5E%7B-%28s%20%2B%201%29t%7D%7D%20%7Bs%20%2B%201%7D%20-%20%5Cfrac%7B4e%5E%7B-%28s%20%2B%204%29%7D%7D%7Bs%20%2B%204%7D%20-%20%5Cfrac%7B%283%28s%20%2B%201%29t%20%2B%201%29e%5E%7B-3%28s%20%2B%201%29t%7D%29%7D%7B9%28s%20%2B%201%29%5E2%7D%5D%20%5Cleft%20%5C%7B%20%7B%7Ba%7D%20%5Catop%20%7B0%7D%7D%20%5Cright.)
Inputting the boundary condition, t = a = ∞, t = 0:

15²-9²= x² use Pythagoras' theorum and square the two smaller sides to get the square of the hypotenuse (the diagonal) then rearrange this to get the above calculation
Option C is the correct values of the relationship between the number of cakes the baker makes and the number of bags of flour uses.
Solution:
Option A: Ratio of cakes baked to bags of flour used

Here the ratios are not same.
So, this option is not true.
Option B: Ratio of cakes baked to bags of flour used

Here the ratios are same.
So, this option is true.
Option C: Ratio of cakes baked to bags of flour used

Here the ratios are not same.
So, this option is not true.
Option D: In this table cakes baked is 6 and the bags of flour is 18.
But a baker made 18 cakes using 6 bags of flour.
So, this option is not true.
Hence option C is the correct values of relationship between the number of cakes the baker makes and the number of bags of flour uses.