Answer:
1. option B is correct i.e., 
2. option D is correct i.e., 
.
3. option B is correct i.e., 
.
Step-by-step explanation:
1. Since the given equation is:
As we know that 
So, the given equation can be represented as:
2. Given equation is:
As we know that
so the given equation can be represented as:
.
3. Given equation is:
by using the properties ,
and 
= 
= 
= 
= 
= .
which is option B.
Slot method
1st slot, 5 options
2nd slot, 4 options (1 gone to the first slot)
3rd slot, 3 options (1 gone again)
4th slot,2 options (1 less)
multiply
5*4*3*2=120
answer is 120 arrangements
Answer: Question not very clear
Step-by-step explanation:
I will like to see the original question, then I will attempt to help you. Surely.
Answer:
Step-by-step explanation:
Looking at the given graph, the slope of the line is expressed as
Slope = (y2 - y1)/(x2 - x1)
y2 = 19.5
y1 = 9.5
x2 = 6
x1 = 1
Slope = (19.5 - 9.5)/(6-1)
Slope = 10/5 = 2
The successive terms is increasing by 2
The formula for the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a is the first term of the sequence
n is the number of terms in the sequence.
d is the common difference.
From the information given,
a = 9.5
Tn = an
d = 2
The explicit rule for the arithmetic sequence will be
an = 9.5 + 2(n-1)
Answer: The first one is = 27.5
1/3 * 25 * 3.3 = 27.5
