By the trend that is being given above, the population of New Jersey will only be 99.88% of the population from the previous year. It may be calculated through the following equation,
P(n) = P(0) x (1 - r)^n
Substituting the values from the given above,
P(n) = 79,318 x (0.9988)^(2015 - 2006)
= 78465.47
Thus, the population will approximately be 78,466.
Your answer would be 5.94.
Answer:
a. attached graph; zero real: 2
b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
Step-by-step explanation:
p(x) = x³ + 4x² + 6x - 36
a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.
p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0
b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.
2 | 1 4 6 -36
1 6 18 0
x² + 6x + 18 = 0
Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²
√Δ = 6i
x = -6±6i/2 = 2(-3±3i)/2
x' = -3-3i
x" = -3+3i
p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
The height of glass 1 which in cylindrical in shape is 7.6 centimeters. Since the total volume of water added by Celia is 100 cubic centimeter, and the volume of glass 2 is 26.4 cubic centimeter which is a conical in shape. Subtracting the volume of glass 2 from the total volume glass 1 can be calculated and its height.
Answer:
48,400 yd²
Step-by-step explanation:
(220+180)/2*260=52000
1/2(180)(60)=5400
So the total area is 52000+5400=57400
Basketball court=2400
Picnic area = 4200
Playground = 40x50 + 10x40=2400
2400+4200+2400=9000
57400-9000=48400
