Answer:
1.8611 x 10^4 lbs per capita
Step-by-step explanation:
To calculate the per capita garbage we have to divide the amount of garbage by the number of people
garbage = 5.416 x 10^12 lbs
people = 2.91 x 10^8
5.416 x 10^12 / 2.91 x 10^8 =
To make it easier we can take the scientific notation of the first term to the same exponent the second
5.416 x 10^12 = 54,160 x 10^8
54,160 x 10^8 / 2.91 x 10^8 =
Now that we have multiplying the same in both parts of the division you can simplify both terms above and below
54,160/2.91 = 18,611
18,611 = 1.8611 x 10^4
Answer:
A=0.83 cube root
Step-by-step explanation:
V^3=90=(6*A)^3
so A^3=90/6^3=90/108
so A = 0.83 cube root
The shaded area ( the top)= the area of the base
Answer:
Yes
Step-by-step explanation:
It is a linear graph.
Answer:
a. y = 3 × (x + 2)(x - 8)
b. y = 3·(x - 3)² - 75
c) y = 3·x² - 18·x - 48
Step-by-step explanation:
The x-intercept of the quadratic equation are (-2, 0), (8, 0)
The stretch of the quadratic equation = 3
We have;
a. The factored form y = 3 × (x + 2)(x - 8)
b. From the vertex form, we have;
y = 3 × (x + 2)(x - 8) = 3·x² - 18·x - 48
y = 3·x² - 18·x - 48
The vertex form a(x - h)² + k
Where;
h = -b/(2·a) = 18/6 = 3
h = 3
k = c - b²/(4·a) = -48 - (18²)/12 = -75
The vertex form 3·(x - 3)² - 75
c) The standard form of the quadratic equation, y = a·x² + b·x + c
The standard form of the quadratic equation is y = 3·x² - 18·x - 48.