<u>Answer</u>
a. r^n=a
c.^n√a=r
<u>Explanation</u>
<u><em>solution 1</em></u>
a⁽¹/ⁿ⁾ = r
Powering both sides of the equation by n;
a⁽¹/ⁿ ₓ ⁿ⁾ = rⁿ
<em>a¹ = rⁿ </em>
<u><em>solution 2</em></u>
Also,
a⁽¹/ⁿ⁾ = r
a⁽¹/ⁿ⁾ = ⁿ√a <em> (nth root of a)</em>
<em>ⁿ√a = r</em>
Answer:
4x - 1 and x + 6 are the factors of given Trinomial
Step-by-step explanation:
The given Trinomial is:
We can factorize this trinomial by mid-term splitting. The mid-term(23x) can be split up in two terms (24x and -x) such that their sum is 23x and their product(-24x²) is equal to the product of other two terms (4x² and -6)
So, the above expression can be written as:
Therefore, 4x - 1 and x + 6 are the factors of given Trinomial
Let
b-----------> the length side of the square box
h------------> the height of the box
SA---------> surface area of the box
we know that
[volume of the box]=b²*h
volume=256 in³
b²*h=256-------> h=256/b²-----> equation 1
surface area of the box=area of the base+perimeter of base*height
area of the base=b²
perimeter of the base=4*b
surface area=b²+(4*b)*h------> SA=b²+4*b*h-----> equation 2
substitute equation 1 in equation 2
SA=b²+4*b*[256/b²]-----> SA=b²+1024/b-----> SA=(b³+1024)/b
the answer is
the formula of the volume of the box is V=b²*h-----> 256=b²*h
the formula of the surface area of the box are
SA=b²+4*b*h
SA=(b³+1024)/b
Answer:
675
Step-by-step explanation:
This is going to be really hard for you to understand unless you know factorials.
The first four letters is a combination out of 6 letters; we call it 6 choose 4. As you may know, factorial is the multiplication of a number and it's previous digits. For example, 3! = 1 x 2 x 3
The 6 choose 4 is (6!/4!2!) = (5x6)/2 = 15
The 10 choose 2 is (10!/2!8!) = (9x10)/2 = 45
Then you multiply both as they're independent:
15 x 45 = 675 serial numbers