Answer:
dP/dt = 650t = 650(2 ) = 1,300 people/year
The rate of increasing of population at the end of the year 1992 is 1,300 people/year
Step-by-step explanation:
Given;
Population function as;
P(t) =325 t^2 + 28547
The rate of change of the population dP/dt at any given time can be given as;
Rate = change in population/change in time = dP/dt
dP/dt = 2×325t = 650t
Therefore, after 1992;
t = 1992-1990 = 2years
dP/dt = 650t = 650(2 ) = 1,300 people/year
The rate of increasing of population at the end of the year 1992 is 1,300 people/year
Answer:
x=1
y=1
(1,1)
Step-by-step explanation:
TO SOLVE FOR X:
1. Substitute. You should start off by looking like this:
x=2x-1
2. Subtract 2x from both sides:
-x=-1
3. Make x positive by multiplying both sides by -1:
x=1
TO SOLVE FOR Y:
1. Substitute x into original statement:
y=2(1)-1
2. Simplify:
y=2-1
3. Simplify:
y=1
TO CHECK YOUR ANSWER:
1. Take other original statement and stubstitute answers. It should look like this:
y=x
1=1
2. Does 1=1?
Yes so the answer is correct
3. Final Answer is:
x=1
y=1
(1,1)
Answer:
Angle OAB = 90°
Reason: tangent theorem of a circle
Step-by-step explanation:
The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.
The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.
Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.
Therefore, angle OAB = 90°
Answer:
Since line u is parallel to line t, the slope of line u must be exacly the same.
The slope of line u is equal to 7/6.
Answer:
2 with the exponent of 10
Step-by-step explanation: