Answer:
243 = 3⁵
Step-by-step explanation:
Firstly we will find the factors of 243. On calculating it see that the factors of 243 are 3 x 3 x 3 x 3 x 3.
or
243 = 9 x 9 x 3
We need to write 243 as the product of primes.
The number that divides itself or 1 are prime numbers.
3 is the only prime number here such that,
243 = 3⁵
Hence, this is the required solution.
If the equilibrium is such that only 12000 units are sold for $27, then the total earnings from the given scenario is $324,000. The supply equation would then be,
supply: 324000 = 6p ; p = 324000/6 = 54000
demand: 324000 = 69p ; p = 324000/69 = 4695.65 ≈ 4696
we are given
Firstly, we will factor numerators and denominators
we can see that
n^2 -6 is factor on both numerator and denominator
so, it will get cancelled
and n^2 -6 can not be equal to 0
so, one of restriction is
we can simplify it
we know that denominator can not be zero
so, option-B.......Answer
Ella has to add 32.833 lbs of water to get 33.333 lbs of syrup.
<u>Solution:</u>
Ella has 0.5 lbs of sugar. Let x lbs be the amount of water Ella should add to get the 1.5% of syrup,
On writing the proportion,
To get 1.5% syrup Ella should add 32.833 lbs of water. The total weight of syrup is 33.333 lbs.
A1 = 4
a2 = 5a1 = 5 x 4 = 20
a3 = 5a2 = 5 x 20 = 100
a4 = 5a3 = 5 x 100 = 500
a5 = 5a4 = 5 x 500 = 2,500
Tn = ar^(n-1); where a = 4, r = 5
Tn = 4(5)^(n-1) = 4/5 (5)^n
Explicit formular is Tn = 4/5 (5)^n
Recursive formular is