Answer:
-8
Step-by-step explanation:
An equation at represents this situation is:
-5 = 3 + x
Find x by;
-5 - 3 = -8
So x is -8:
-5 = 3 + -8 (TRUE)
Hope this helps
Answer:
3- 5- 1
^ ^ ^
1 -5, 1,3 3,5
Step-by-step explanation:
Answer:
a(4) = 15/4
Step-by-step explanation:
Here we're told that the first term is a(1) = 30 and that the common factor r = 1/2.
Thus, the geometric sequence formula specific to this case is
a(n) = 30(1/:2)^(n-1).
What is the fourth term? Let n = 4,
a(4) = 30(1/2)^(4-1), or a(4) = 30(1/2)^(3), or a(4) = 30(1/8) = 30/8, or, in reduced form,
a(4) = 15/4.
Answer:
4.71 minutes
Step-by-step explanation:
Incomplete question [See comment for complete question]
Given
Shape: Cone
-- radius
--- height
![Rate = 14in^3/min](https://tex.z-dn.net/?f=Rate%20%3D%2014in%5E3%2Fmin)
Required
Time to pass out all liquid
First, calculate the volume of the cone.
This is calculated as:
![V = \frac{1}{3} \pi r^2h](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2h)
This gives:
![V = \frac{1}{3} * 3.14 * 3^2 * 7](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%2A%203.14%20%2A%203%5E2%20%2A%207)
![V = \frac{1}{3} * 197.82](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%2A%20197.82)
![V = 65.94in^3](https://tex.z-dn.net/?f=V%20%3D%2065.94in%5E3)
To calculate the time, we make use of the following rate formula.
![Rate = \frac{Volume}{Time}](https://tex.z-dn.net/?f=Rate%20%3D%20%5Cfrac%7BVolume%7D%7BTime%7D)
Make Time the subject
![Time= \frac{Volume}{Rate }](https://tex.z-dn.net/?f=Time%3D%20%5Cfrac%7BVolume%7D%7BRate%20%7D)
This gives:
![Time= \frac{65.94in^3}{14in^3/min}](https://tex.z-dn.net/?f=Time%3D%20%5Cfrac%7B65.94in%5E3%7D%7B14in%5E3%2Fmin%7D)
![Time= \frac{65.94in^3}{14in^3}min](https://tex.z-dn.net/?f=Time%3D%20%5Cfrac%7B65.94in%5E3%7D%7B14in%5E3%7Dmin)
Cancel out the units
![Time= \frac{65.94}{14} min](https://tex.z-dn.net/?f=Time%3D%20%5Cfrac%7B65.94%7D%7B14%7D%20min)
![Time= 4.71 min\\](https://tex.z-dn.net/?f=Time%3D%204.71%20min%5C%5C)