We know that
[volume of rectangular prism]=L*W*h
L= 6 in prism A
volume of rectangular prism A=6*w*h
L=6*(1/2)------> L=3 in prism B
volume of rectangular prism B=3*w*h
so
volume of rectangular prism B=[volume of rectangular prism A]/2
the answer is
Volume of B is 1/2 volume of A
Answer:
The sequence converges to 1
Step-by-step explanation:
Given
![\frac{2}{4}. \frac{3}{5}, \frac{4}{6}, \frac{5}{7},...](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B4%7D.%20%5Cfrac%7B3%7D%7B5%7D%2C%20%5Cfrac%7B4%7D%7B6%7D%2C%20%5Cfrac%7B5%7D%7B7%7D%2C...)
Require
Description of the sequence
The given sequence follows:
![\frac{2}{4}. \frac{3}{5}, \frac{4}{6}, \frac{5}{7},... \frac{n+1}{n+3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B4%7D.%20%5Cfrac%7B3%7D%7B5%7D%2C%20%5Cfrac%7B4%7D%7B6%7D%2C%20%5Cfrac%7B5%7D%7B7%7D%2C...%20%5Cfrac%7Bn%2B1%7D%7Bn%2B3%7D)
i.e.
![T_n = \frac{n+1}{n+3}](https://tex.z-dn.net/?f=T_n%20%3D%20%5Cfrac%7Bn%2B1%7D%7Bn%2B3%7D)
For every term,
![\frac{n+1}{n+3} < 1](https://tex.z-dn.net/?f=%5Cfrac%7Bn%2B1%7D%7Bn%2B3%7D%20%3C%201)
In other words,
as the value of n increases,
approaches 1
<em>Hence, (c) is true</em>
A linear relationship is an equation that has a constant slope
The equation that does not represent a linear relationship is (b) y = 2x^2 + 5x
<h3>How to determine the non-linear relationship</h3>
A linear equation can take any of the following forms:
y = mx + b
y - y1 = m(x - x1)
Ax + By = c
Any form different from the above forms is not a linear equation
Using the above format as a guide, the equation that does not represent a linear relationship is (b) y = 2x^2 + 5x
Read more about linear relationships at:
brainly.com/question/15602982
Is these 41/2,2/3,1/4,1/2,21/3 The first thing, calculate m.c.m of these denominator
2=2
3=3
4=2.2
12
246/12,8/12,3/12,3/12,6/12,84/12, In order is like this
246/12,84/12,8/12,6/12,3/12
41/2>21/3>2/3>1/2>1/4 0r
1/4<1/2<2/3<21/3<41/2
Answer:
11 per hour
Step-by-step explanation:
130 - 20=110/(6+4)=11