Answer:
Step-by-step explanation:
This looks like Pythagorean theorem.
c=![\sqrt{a^2+b^2}](https://tex.z-dn.net/?f=%5Csqrt%7Ba%5E2%2Bb%5E2%7D)
c=![\sqrt{2^2+4^2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%5E2%2B4%5E2%7D)
c=4.47 ~ round up~ c= 5
Answer:
90
Step-by-step explanation:
The family filters 5 gallons per day, so can expect to use the filter for ...
(450 gal)/(5 gal/day) = 90 day
After 90 days of average water use, the family will need to replace the filter.
Answer:
y= -x-5
Step-by-step explanation:
Hope this helps !
an explicit formula for the arithmetic sequence -5,13,31,49 is
.
<u>Step-by-step explanation:</u>
Here we have an arithmetic sequence -5,13,31,49 . We need to find an explicit formula for the arithmetic sequence .Let's find out:
Let
be terms of an A.P , common difference is :
⇒ ![d=a_2-a_1](https://tex.z-dn.net/?f=d%3Da_2-a_1)
⇒ ![d=13-(-5)](https://tex.z-dn.net/?f=d%3D13-%28-5%29)
⇒ ![d=13+5](https://tex.z-dn.net/?f=d%3D13%2B5)
⇒ ![d=18](https://tex.z-dn.net/?f=d%3D18)
We know that general term of an Arithmetic Progression ( A.P) is :
⇒ ![a_n = a+(n-1)d](https://tex.z-dn.net/?f=a_n%20%3D%20a%2B%28n-1%29d)
So , Here we will have ![a_n = -5+(n-1)18](https://tex.z-dn.net/?f=a_n%20%3D%20-5%2B%28n-1%2918)
⇒ ![a_n = -5+(n-1)18](https://tex.z-dn.net/?f=a_n%20%3D%20-5%2B%28n-1%2918)
⇒ ![a_n = -5+18n-18](https://tex.z-dn.net/?f=a_n%20%3D%20-5%2B18n-18)
⇒ ![a_n =18n-23](https://tex.z-dn.net/?f=a_n%20%3D18n-23)
Therefore , an explicit formula for the arithmetic sequence -5,13,31,49 is
.