This is exponential growth function
y=4(2)^x
X 4(2)^ x Y
0 4(2)^0 4
1 4(2)^1 8
2 4(2)^2 16
1/2 4(2)^(1/2) 1.4
see image below for graph
Answer:
Option B. The volume is the product of the area of the base, 2x(2x + 5), and the height, 2x – 3
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
The volume of a rectangular prism is equal to

where
B is the area of the base of the prism
H is the height of the prism
In this problem we have
The area of the base B is equal to

The height H is equal to

therefore
The volume is equal to

The volume is the product of the area of the base, 2x(2x + 5), and the height, 2x – 3
<span>y(t) = a exp(3t) + b exp(4t)
conditions, y(0) = 3
y'(0) = 3
y(0) = a exp(3 x 0) + b exp(4 x 0)
= a exp(0) + b exp(0)
= (a x 1) + (b x 1)
= a + b
y'(0) = 0
so the linear equation is, a + b = 3</span>
Situation of non- proportional relationship :
The circumference of a circle with a radius of x units can be represented by = 2nx.
The perimeter of an equilateral triangle with a side length of x units can be represented by y = 3x
The total surface area of a cylinder with a radius of 1 unit and height of x units can be represented by y = 2xx + 2x
The radius of a circle with a diameter of x units can be represented by y = 
a proportional relationship is a relationship between two quantities in which the ratio of one quantity to the other quantity is constant. The graph of a proportional relationship is a line through the origin.
When ratios between quantities are not constant, a relationship may be linear but not proportional and the graph does not pass through the origin.
The graph shows the sales tax charged based
on the amount spent at a video game store in
a particular city. Does the graph show a linear
relationship? Is the relationship proportional
or nonproportional?
The graph shows a linear proportional
relationship because it is a line that contains
the origin.
learn more about non-proportional relationship here :brainly.in/question/26595752
SPJ9
5-8 5-20 = 3.5 because rigid yes