Answer:
A cylinder with a volume of 27
 cubic inches and a height of 3 inches
Step-by-step explanation:
- Volume of a cylinder = 
r²h
(where r is the radius and h is the height) 
Volume = 27
Height = 3
⇒ 27
 = 3
r²
⇒ 9 = r²
⇒ r = √9 = 3
So height = radius
 
        
             
        
        
        
In algebra the notation is basically just a number, for example, 10, and we take it to the 10th power, you just take the decimal at the end of the 10 and move it 10 spaces to the right, if the number is negative you will move the decimal to the left 10 spaces, the 10th power is a variable and is different with every question
        
             
        
        
        
To calculate any speed, the equation is speed=distance/time
Basically, you first need to take your 9 hours and 15 minutes and combine them into a number with a decimal value.
So, 15*4=60
Sound familiar? Good, because 25*4=100, so they are the same here.
So, we can say 9 hours and 15 minutes is equal to 9.25
Take this now: Speed=538/9.25
You get 58.1621, which you can round to 58.2
This is, of course, your final answer, so Joe drove at 58.16 mph
        
             
        
        
        
Answer:
2097150
Step-by-step explanation:
<u>GIVEN :-</u>
- First term of G.P. = 6
 - Forth term of G.P. = 384
 
<u>TO FIND :-</u>
- Sum of first 10 terms of the G.P.
 
<u>CONCEPT TO BE USED IN THIS QUESTION :-</u>
<em>Geometric Progression :-</em>
- It's a sequence in which the successive terms have same ratio.
 
- General form of a G.P. ⇒ a , ar , ar² , ar³ , ....... [where a = first term ; r = common ratio between successive terms]
 
- Sum of 'n' terms of a G.P. ⇒ 
. 
<em>[NOTE :- </em>
 can also be the<em> formula for "Sum of n terms of G.P." because if you put 'r' there (assuming r > 0) you'll get negative value in both the numerator &  denominator from which the negative sign will get cancelled from the numerator & denominator. </em><em>YOU'LL BE GETTING THE SAME VALUE FROM BOTH THE FORMULAES.</em><em>]</em>
<u>SOLUTION :-</u>
Let the first term of the G.P. given in the question be 'a' and the common ratio between successive terms be 'r'.
⇒ a = 6
It's given that <u>forth term</u> is 384. So from "General form of G.P." , it can be stated that :-


Divide both the sides by 6.


![=> r = \sqrt[3]{64} = 4](https://tex.z-dn.net/?f=%3D%3E%20r%20%3D%20%5Csqrt%5B3%5D%7B64%7D%20%3D%204)
Sum of first 10 terms 
                                      
                                      
                                      
 
        
             
        
        
        
Answer:
y = -1/2x + 1
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define variables</u>
Slope <em>m</em> = -1/2
y-intercept <em>b</em> = 1
<u>Step 2: Write linear function</u>
y = -1/2x + 1