Explanation:
a) The total volume equals the sum of the volumes.
500 = x + y
The total octane amount equals the sum of the octane amounts.
89(500) = 87x + 92y
44500 = 87x + 92y
b) desmos.com/calculator/ekegkzllqx
As x increases, y decreases.
c) Use substitution or elimination to solve the system of equations.
44500 = 87x + 92(500−x)
44500 = 87x + 46000 − 92x
5x = 1500
x = 300
y = 200
The required volumes are 300 gallons of 87 gasoline and 200 gallons of 92 gasoline.
Answer:
the rate of increase of radius is dR/dt = 0.804 m/hour = 80.4 cm/hour
Explanation:
the slick of oil can be modelled as a cylinder of radius R and thickness h, therefore the volume V is
V = πR² * h
thus
h = V / (πR²)
Considering that the volume of the slick remains constant, the rate of change of radius will be
dh/dt = V d[1/(πR²)]/dt
dh/dt = (V/π) (-2)/R³ *dR/dt
therefore
dR/dt = (-dh/dt)* (R³/2) * (π/V)
where dR/dt = rate of increase of the radius , (-dh/dt)= rate of decrease of thickness
when the radius is R=8 m , dR/dt is
dR/dt = (-dh/dt)* (R³/2) * (π/V) = 0.1 cm/hour *(8m)³/2 * π/1m³ *(1m/100 cm)= 0.804 m/hour = 80.4 cm/hour
Answer:
Universal Containers uses the Case object to track service tickets. They have implemented Case teams to allow multiple support representatives to manage the Cases. Which two "Filter by owner" options would the user see while creating a list view on the Case object?
Choose 2 answers
A. My Case Teams
B. Roles
C. Public Groups
D. Queue
Correct answer is option A and D
A) My case teams &
D) Queue
Explanation:
Since a case team was implemented to allow multiple support representatives manage the case, the two filter by owner options the user will see are; my case teams and queue.
Queue entails choosing a specific case queue to look at for your view. Which in this case the user will see because the case isn't handled by one person.
In my case teams, cases are filtered to look at only cases where you’re on the case team.
Answer:
F=531831381
Explanation:
There are two ways of doing this question:
1) By Formula
2) By Using Compound interest Table
By Formula:
Where:
F is future value
A is annual amount per year
i is interest rate
n is number of years
F=531831381
By Using Compound interest Table:
F=A(F/A,i,n)
From Table F/A at i=8% and n=8 is 10.6366
F=50000000*(10.6366)
F=531830000≅531831381
The difference in two answers is due to decimal points if you take value from table to greater decimal points you will get the exact answer as by using formula.
Answer:
the nation will suffer terrible consequences
Explanation:
I did that and got it right
