Please look at the picture and help me with this question
1 answer:
Answer:
Step-by-step explanation:
f(x) = 4^x
g(x) = f(x -1) + 3
g(x) = 4^(x - 1) + 3
See the diagram that is below.
Red line: f(x) = 4^x
Blue line: g(x) = f(x - 1) + 3
The graph has been transformed so that f(x) moves upwards by 3 unitsw to get to g(x)
Furthermore, if x = 0 the y intercept for f(x) = 1
If x = 0 then g(x) moves up 3 spaces by virtue of the 3, and and up another 1/4 because the first term becomes 4^-1 = 1/4. This 1/4 gets added to the 3 to give 3 1/4
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For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is 
, the volume of a pyramid/cone is 
.
In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is
where r is the radius.
We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.
Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.
We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.
In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is
We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.
Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.
We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.