Answer:
This question is asking you to find the ending position of a shape (particle) that is moving horizontally along the horizontal axis by finding its velocity with the equation shown. When t=0, the shape is 4 units to the left of the vertical axis, so it wants you to find where on the horizontal axis the shape is when t = 8. Hope this helped!!!
An expression is defined as a set of numbers, variables, and mathematical operations. The given statement can be modeled as (3m+7)/27 < n.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given statement "The quotient of 7 more than three times a number m and the number 27 less than n" can be modeled as an algebraic expression as shown below.
(3m+7)/27 < n
Hence, the given statement can be modeled as (3m+7)/27 < n.
Learn more about Expression:
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Answer: ![792\ m^2](https://tex.z-dn.net/?f=792%5C%20m%5E2)
Step-by-step explanation:
Given
The length of the rectangular prism is
width of the rectangular prism is ![w=8\ m](https://tex.z-dn.net/?f=w%3D8%5C%20m)
height of the rectangular prism is ![h=15\ m](https://tex.z-dn.net/?f=h%3D15%5C%20m)
The surface area of the rectangular prism is ![2[wl+lh+hw]](https://tex.z-dn.net/?f=2%5Bwl%2Blh%2Bhw%5D)
Put the values
![\Rightarrow 2[8\times 12+15\times 12+15\times 8]\\\Rightarrow 2[96+180+120]=2\times 396\\\Rightarrow 792\ m^2](https://tex.z-dn.net/?f=%5CRightarrow%202%5B8%5Ctimes%2012%2B15%5Ctimes%2012%2B15%5Ctimes%208%5D%5C%5C%5CRightarrow%202%5B96%2B180%2B120%5D%3D2%5Ctimes%20396%5C%5C%5CRightarrow%20792%5C%20m%5E2)
The surface area of the rectangular prism is ![792\ m^2](https://tex.z-dn.net/?f=792%5C%20m%5E2)
Well discretionary income includes money spent on luxury items vacations and non essential goods and services the other i believe stands for nuveen municipal income which is stock right we need more info hope this helps a lil