<h3>
Answer: (2x)^3</h3>
Work Shown:
x = some unknown number
2x = twice the number
(2x)^3 = cubing the previous result
If you want to simplify this expression, then you would get 8x^3 since 2^3 = 8.
we know that
acceleration due to gravity is 9.8m/s^2
so, we get

and acceleration will always be constant
we know that
integral of acceleration is velocity
so, we can integrate both sides


we are given
v(0)=35m/s
we can use it and find C



now, we can plug it back

we know that
integral of velocity is height
we can integrate it again



now, we have
s(0)=6
we can use it and find C


now, we can plug back C

and we get
.............Answer
Answer:
11 1/12
Step-by-step explanation:
6 1/3 = 19/3
7 1/4 = 29/4
2 1/2 = 5/2
19/3 + 29/4 - 5/2
We must find the LCM of 3, 4, and 2. This happens to be 12
3*4 = 12
4*3 = 12
2*6 = 12
Multiply each fraction by the factor that'll get it to 12.
19/3 * 4/4 = 76/12
29/4 * 3/3 = 87/12
5/2 * 6/6 = 30/12
Now go through the problem
76/12 + 87/12 - 30/12
76 + 87 = 163
163/12 - 30/12
163 - 30 = 133
133/12
Simplify
133/12 = 11.0833... or 11 1/12
Hope this helps.
Answer:
46
Step-by-step explanation:
Let
represent a number with
in the ten's position and
is the one's position.
This means
actually has value of
.
We are given the sum of those digits of
is 10; this means
.
It says if 18 is added to the number
, then the result is
.
So
has value
and
has value
.
We are given then:


Subtract
on both sides:

Simplify:

Subtract
on both sides:


Divide both sides by 9:

Rearrange by commutative property:

So the system of equations we want to solve is:


-------------------------Add equations together (this will eliminate the variable
and allow you to go ahead and solve for
:


Divide both sides by 2:

Simplify:

If
and
, then
.
since 4+6=10.
So the original number is (46).
18 more than 46 is 18+46=(64) which is what we wanted.
We also have the sum of 4 and 6 is 10 as well.
The first question answer is 21*10^7
The second question answer is 5*10^2