Answer:
Step-by-step explanation:
Add and subtract the square of half the x-coefficient:
x² -10x +(-5)² -(-5)² +15
Express the first three terms as a square; simplify the remaining terms.
(x -5)² -10
This expression describes a parabola that opens upward and has its vertex at (x, y) = (5, -10). The minimum value is -10.
Dr/dt= 8cmM-¹
dA/dt = ?
but A= πr²
so dA/dr =2πr
but recall
dA/dt = dA/dr • dr/dt
dA/dt = 2πr • 8cmM-¹
dA/dt = 2×π×39 ×8 = 624cm²M-1
Answer:
14.2 years
Step-by-step explanation:
The multiplier of the population each year is 1 +5% = 1.05, so after n years the population has been multiplied by 1.05^n. You want to find the value of n that makes this expression equal to 2:
2 = 1.05^n
log(2) = n·log(1.05) . . . . . take logarithms
log(2)/log(1.05) = n ≈ 14.2
Growing at a rate of 5% per year, it will take about 14.2 years for the population to double.
Answer:
x=44 degrees
Step-by-step explanation:
5y-4 has to equal 81 in order for the two triangles to be congruent.
The sum of the interior angles of a triangle is always 180 degrees.
81+51=132 degrees
180-132=48
x+4=48
x=48-4
x=44 degrees
