Answer:
19.5 cm wide
36 cm tall
Step-by-step explanation:
The given, 3 cm : 2 ft, is your first fraction (3 cm / 2 ft). We need to figure out how many cm is 13 ft and 24 ft. Let's start with 13 ft. We would use the first fraction, 3 cm / 2 ft, is equal to x cm / 13 ft. Then, you would cross multiply and get an answer of 19.5 cm. Now, we do the same thing but instead of 13 ft we need to use 24 ft. So again, 3 cm / 2 ft is equal to x cm / 24 ft. Then, cross multiply and get a final answer of 36 cm.
Answer:
for this case we have the following functions:
f (x) = x + 8
g (x) = -4x - 3
Subtracting the functions we have:
(f - g) (x) = f (x) - g (x)
(f - g) (x) = (x + 8) - (-4x - 3)
Rewriting:
(f - g) (x) = x + 8 + 4x + 3
(f - g) (x) = 5x + 11
Answer:
D. (f - g) (x) = 5x + 11
Answer:
The bounded area is: 
Step-by-step explanation:
Let's start by plotting the functions that enclose the area, so we can find how to practically use integration. Please see attached image where the area in question has been highlighted in light green. The important points that define where the integrations should be performed are also identified with dots in darker green color. These two important points are: (2, 6) and (3, 1)
So we need to perform two separate integrals and add the appropriate areas at the end. The first integral is that of the difference of function y=x+4 minus function y=(1/3)x , and this integral should go from x = 0 to x = 2 (see the bottom left image with the area in red:
The next integral is that of the difference between 
and the bottom line defined by: y = (1/3) x. This integration is in between x = 2 and x = 3 (see bottom right image with the area in red:
Now we need to add the two areas found in order to get the total area:
Answer:
94.7%
Step-by-step explanation:
If it is only winning or losing cards, then you can subtract 5.3 from 100 because probability is out of 100%
100-5.3 = 94.7
