Answer:
Step-by-step explanation:
Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²
From V = πr³ + 7πr²;
factor out the common variable
V = πr³ + 7πr²
V = πr²(r+7) ... 1
The original volume of a cylinder V = πr²h .... 2 where;
r is the radius of the cylinder
h is the height of the cylinder
Equating equation 1 and 2, we will have;
πr²(r+7) = πr²h
Divide both sides by πr²
πr²(r+7)/ πr² = πr²h/ πr²
r+7 = h
h = r+7
<em>Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r</em>.<em> The statement means that the height of the cylindrical soup is 7 more than its radius.</em>
<em></em>
f(x) = 2x + 1; Paren graph = x;
The graph was shifted one unit up and stretched 2 times.
g(x) = -8(x+4) - 1 = -8x - 32 - 1 = -8x - 33
The graph was shifted 33 units down and stretched 8 times and flipped 180 degrees.
Answer:
k = -6.29
Step-by-step explanation:
91 - 2 + 7k + 1 = 46
add all like terms
90 + 7k =46
subtract
90 + 7k = 46
-90 -90
------------------------
7k = -44
divide
= 
(these arent fractions thats just how i divide things :))
= -6.28571428571
round to nearest hundredth
k= -6.29
goes up to 9 because 5 makes 8 go up one when rounding
sorry for asking so many questions. hope this helps
∴
=2796202.5
Step-by-step explanation:
First term(a) = 
common ratio(r) =
=4
n= 12
=2796202.5
∴ =2796202.5
We can start by getting rid of parenthesis:
4x-3x+6=21
Then we can combine like terms:
x=21-6
x=15
So our end product is x=15.
Hope I helped soz if I'm wrong ouo.
~Potato.
Copyright Potato 2019.
