Gus has a fish tank that holds 47104710 inches^3 3 of water. he is using a cylinder shaped bucket with a radius of 55 inches and a height of 2020 inches to fill the tank. how many times will gus need to fill the bucket to completely fill the fish tank if he doesn't spill a drop? use 3.143.14 for \piπ.

3 times.

Step-by-step explanation:

Here, The Volume of the gas tank = 4710

While, The radius of the cylindrical shaped bucket = 5 in

And, Height of the cylindrical shaped bucket = 20 in

Therefore, The volume of the bucket =

= 3.14 × 5 × 5 × 20 = 1570

According to the question, cylinder shaped bucket is used to fill the tank.

Thus, The number of times the bucket will be used to fill the tank

= The Volume of the gas tank/ The volume of the bucket = 4710/1570 = 3

Therefore, The bucket will be used three times to fill the tank.

2 x t divided by n

step-by-step explanation:

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!