R = rate of growth of raindrop vine = 0.75 feet/day
we know that : 1 feet = 12 inches
1 day = 24 hours
replacing the units accordingly in the above expression for rate of growth of raindrop vine
R = 0.75 (feet/day) (12 inches/1 feet) (1 day/24 hours)
R = (0.75 x 12 /24) (inches/hour)
R = 0.375 inches/hour
Answer:
- 1800 ; 4284.8579 ;
Step-by-step explanation:
Given the table :
Outcome _____ probability
-12000 ________ 0.15
__ 0 __________ 0.85
Expected loss, m: Σx*p(x)
(-12000 * 0.15) + (0 * 0.85)
-1800 + 0 = - 1800
Standard deviation = sqrt(Var(x))
Var(x) = Σx²*p(x) - m²
(-12000^2 * 0.15) + (0^2 * 0.85)] - 1800^2
21,600,000 - 3240000
= 18360000
Standard deviation = sqrt(18360000)
Standard deviation = 4284.8579
The circumference is ~43.98 miles.
Answer:
d, e
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
__
In this case, it means the product is ...
(6^1)(6^0)(6^-3) = 6^(1+0-3) = 6^-2 = 1/6^2 = 1/36
__
The 6 without an exponent is equivalent to 6^1, an exponent of 1.
The sum of the exponents is -2.
Add the exponents to simplify the expression.
The value of the expression is 1/36.
An equivalent is any expression that results in 6^-2. One such is (6^5)(6^-7).
__
Only the last two choices, d and e, apply.
Answer:
f(-2) = -4x + 6
Step-by-step explanation:
f(x) = 2x + 6
f(-2) = -2(2x) + 6
f(-2) = -4x + 6