Numbers are arranged by their place values. Place values give a quantity of value to a certain digit in a number. Given a number, the rightmost number is the ones place, followed by the tens place, hundreds, thousands, ten thousands, hundred thousands, millions, ten millions, hundred millions, as so on and so forth. The place value of a certain digit is 10 times bigger than its adjacent digit to the right.
So for this problem, all you have to do is multiply the number of units of each place value, then multiple them all by 10.
(2(10) + 1(1))×10
21 × 10 = 210
Therefore, the number is equivalent and written as 210.
Answer:
the areas of these triangles are 83.2cm² and 46.8cm²
Step-by-step explanation:
1. If the triangles are similar and the ratio of the perimeter ois 4:3, then the areas are in the following ratio:
4²:3²
16:9
2. The sum of their areas is 65 cm², then, you can calculate the area of the larger triangle as following:
130(16/16+9)
130(0.64)
=83.2cm²
3. The area of the smaller triangle is:
130(9/16+9)
130(0.36)
46.8cm²
<u>Hope this help</u>s
The company will continue to manufacture this model for 19 months.
The question is ill-formatted. The understandable format is given below.
An SUV model's monthly sales are anticipated to rise at a rate of
SUVs each month, where "t" denotes the number of months and "S(t)" denotes the monthly sales of SUVs. When monthly sales of 300 SUVs are reached, the business intends to discontinue producing this model.
Find S if monthly sales of SUVs are 1,200 at time t=0 (t). How long will the business keep making this model?
Given
... ... (1)
Condition (1) at t=0; s(t) =1200
We find S(t)=300 then t=?
a) We find S(t)
from
![\implies \frac{dS(t)}{dt}=-24t^{1/3} ~~[\because X'(t)=\frac{dX}{dt} \\\implies dS(t) = -24t^{1/3}dt\\](https://tex.z-dn.net/?f=%5Cimplies%20%5Cfrac%7BdS%28t%29%7D%7Bdt%7D%3D-24t%5E%7B1%2F3%7D%20~~%5B%5Cbecause%20X%27%28t%29%3D%5Cfrac%7BdX%7D%7Bdt%7D%20%5C%5C%5Cimplies%20dS%28t%29%20%3D%20-24t%5E%7B1%2F3%7Ddt%5C%5C)
On Integrating both sides
![S(t)=-18t^{4/3}+c ~...~...~(2)](https://tex.z-dn.net/?f=S%28t%29%3D-18t%5E%7B4%2F3%7D%2Bc%20~...~...~%282%29)
Now, at t=0 then S(t)=1200
So, from (2)
1200=0+c
⇒c=1200
from eq (2)
![S(t)=-18t^{4/3}+1200 ~...~...~(3)](https://tex.z-dn.net/?f=S%28t%29%3D-18t%5E%7B4%2F3%7D%2B1200%20~...~...~%283%29)
b) Considering that the firm intends to cease production of this model once monthly sales exceed 300 SUVs.
So, take S(t)=300
from eq (2) ![300=-18t^{4/3}+1200](https://tex.z-dn.net/?f=300%3D-18t%5E%7B4%2F3%7D%2B1200)
![t^{4/3}=\frac{1200-300}{18}\\=\frac{900}{18}=50\\\implies t=50^{3/4}\\\implies t=18.8030](https://tex.z-dn.net/?f=t%5E%7B4%2F3%7D%3D%5Cfrac%7B1200-300%7D%7B18%7D%5C%5C%3D%5Cfrac%7B900%7D%7B18%7D%3D50%5C%5C%5Cimplies%20t%3D50%5E%7B3%2F4%7D%5C%5C%5Cimplies%20t%3D18.8030)
Hence the company will continue 18.8020 months.
Learn more about integration here-
brainly.com/question/18125359
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2) The area is 1.1 m^2 because to find the area the formula is width*length. SO you would separate it. It would be 0.9 * 1 = 0.9 and 0.4 * 0.5 = 0.2. Then you add it together. So it would be 1.1 m^2. The perimeter is all the sides added together so 4.2 m, but it says mm so you have to convert it and you get 4200.
4) Area is 1.16 cm^2. Again you would seperate it. So, 1 * 1 = 1 and .2 * .8 = .16. Then you add it together and get 1.16 cm^2. The perimeter is all the sides added up. You get 4.2 cm.
Explanation: This is a linear equation because it's written in slope-intercept form or <em>y = mx + b</em> where the multiplier or the coefficient of the x-term represents the slope of the line and the<em> b</em> represents the constant term.
So the slope will be the coefficient of the <em>x-term</em> which means the number that is in front of the <em>x</em> which in this case is -5/4.
The y-intercept is the constant term which is +8