When you write logarithm of 1 with base b = x, through logarithm properties, that would be x to the power of b equals 1.
Now, from the law of exponents, any number raised to the power of zero is 1. Thus logarithm of 1 with base b is truly zero.
Answer:
891 cm³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = Ah ( A is the area of cross- section and h is the height (
The cross- section is a trapezium with area (A) calculated as
A = 
h ( a + b)
where h is the perpendicular height and a, b the parallel bases
Here h = 9, a = AB = 14 and b = CD = 8 , thus
A = × 9 × (14 + 8) = 4.5 × 22 = 99 cm² , thus
V = 99 × 9 = 891 cm³
Answer: -44
Step-by-step explanation:
0.27 repeating as a fraction in simplest form is 3/11
Answer:
The even numbers between 0 and X represents an arithmetic sequence with a common difference of 2
The rule of arithmetic sequence = a + d(n - 1)
Where a is the first term and n is the number of terms
So, for the even numbers between 0 and X
The first term = a = 0
d = 2
So, we need to find n at the last term which is X
∴ X = 0 + 2 ( n -1 )
∴ n - 1 = X/2
∴ n = X/2 + 1
The sum of the arithmetic sequence = (n/2) × (2a + (n−1)d)
Substitute with a and d and X
So, the sum = (n/2) * (2*0 + (n−1)*2)
= (n/2) * ((n−1)*2)
= n(n-1)
= (X/2 + 1) * (X/2)
= X/2 by (X/2 + 1)
So, The quick way to add all even numbers between 0 and X always works.
