The answer to the above eqaution is 1
Step-by-step explanation:
Proceeding step by step
Step 1= 1/(1-xᵃ⁻ᵇ)+ 1/(1-xᵇ⁻ᵃ)
on rearranging the equation (b-a) as -(a-b) and substituting the value
Step 2= 1/(1-x ᵃ⁻ᵇ) + 1/(1-x -⁽ᵃ⁻ᵇ⁾ )
Using the indices corrolary that 1/1- x ⁻ᵃ= -xᵃ/ (1- x ᵃ) and subsituting the value of the expression in the step mentioned below
Step 3=1/(1+x ᵃ⁻ᵇ) - (x ᵃ⁻ᵇ)/(1-x ᵃ⁻ᵇ)
Since the denominators are the same the two fractions can be added with common denominator being 1+x ᵃ⁻ᵇ
On adding the above mentioned step 3 we get
Step 4=(1- x ᵃ⁻ᵇ) / (1- x ᵃ⁻ᵇ)
=1
Thus the value of equation =1
Answer:
$464.29
Step-by-step explanation:
Assuming equal payments, $6500/14 months=$464.2857, or round up to $464.29/month.
Answer:
70000 gallons
Step-by-step explanation:
The total time between 8 a.m. to 6 p.m is 10 hours. The company starts producing at 8 am, therefore the time from 8 am to noon (that is 12 p.m) is 4 hours.
Since clients demand 100,000 gallons of milk over the course of one day, the demand of milk per hour = total demand per day/ total time per day
Demand per hour = 100000 gallons / 10 hours = 10000 gallons per hour
Since the milk is processed at a fixed rate of 7500 gallons/hour, At noon the amount of of milk produced = 7500 gallons/hour × 4 hours = 30000 gallons.
The gallons of milk are in the queue to be processed at noon = 100000 gallons - 30000 gallons = 70000 gallons
Let's see here... well, since the first letter in the ratio is from the first triangle, then, the first one in the equal ratio is going to have to be that as well, and the ratio of c:a wouldn't work, since c was already used. By process of elimination, it's gotta be b:q.
Answer:
Step-by-step explanation:
2x + 4 = 6x - 10
Minus 2x on both sides
4 = 4x - 10
Add 10 on both sides
14 = 4x
Divide by 4 on both sides
14/4 = x
x = 14/4
Simplify fraction
x = 7/2 or x = 3 1/2
