Answer:
10, 1, 0.1, 0.01
It is a geometric sequence
Step-by-step explanation:
A(n + 1) = A(n) ÷ 10 for n ≥ 1 and A(1) = 10
A(1+1) = A(2) = A(1) / 10 = 10 / 10 = 1
A(2+1) = A(3) = A(2) / 10 = 1 / 10 = 0.1
A(3+1) = A(4) = A(3) / 10 = 0.1 / 10 = 0.01
It corresponds to a geometric sequence, which is defined by its starting number a (10), the common factor r (0.1) and the number of terms S.
g(x) = (x - 3)² - 4
given f(x) is shifted a units horizontally to the right → f(x) → f(x - a)
If f(x) is shifted by a units horizontally left → f(x) → f(x + a)
If f(x) is shifted by b units vertically up → f(x) → f(x) + b
If f(x) is shifted by b units vertically down → f(x) → f(x) - b
The vertex (0, 0) of f(x) has shifted to (3, -4)
that is 3 units horizontally to the right and 4 units vertically down
hence g(x) = (x - 3)² - 4
3/4 *x-4
3/4 x 3/4 x 3/4 x 3/4
3 13/81
Answer:
Definetely, it is reasonable. You may assume that a pet as a companionship will help the elderly feel more comfortable and therefore, happy. There are a few problems tough:
- There is no practical way of meassuring 'happiness'.
- Sometimes, the correlations of two factors may be a coincidence. Scientist should always consider this when they try to claim something byusing some backup logic, like we did.
- Even tough the statement makes some sense, you need to be aware that maybe is not completly positively correlated. Maybe having 20 more pets does not make an elderly happy if it alredy had 1 or 2.
Step-by-step explanation:
so, that means we want to find the time t (days) after which N = No/2
because "half-life" means the amount of time until half of the substance has disappeared (or transformed into something else).
so, we have
No/2 = No × e^(-0.1481×t)
No = 2× No × e^(-0.1481×t)
1 = 2×e^(‐0.1481×t)
1/2 = 0.5 = e^(-0.1481×t)
ln(0.5) = -0.1481×t
t = ln(0.5)/-0.1481 = 4.680264555... ≈ 4.7 days
