This appears to be about rules of exponents as much as anything. The applicable "definitions, identities, and properties" are
i^0 = 1 . . . . . as is true for any non-zero value to the zero power
i^1 = i . . . . . . as is true for any value to the first power
i^2 = -1 . . . . . from the definition of i
i^3 = -i . . . . . = (i^2)·(i^1) = -1·i = -i
i^n = i^(n mod 4) . . . . . where "n mod 4" is the remainder after division by 4
1. = -3^4·i^(3·2+0+2·4) = -81·i^14 =
812. = i^((3-5)·2+0 = i^-4 =
13. = -2^2·i^(4+2+2+(-1+1+5)·3+0) = -4·i^23 =
4i4. = i^(3+(2+3+4+0+2+5)·2) = i^35 =
-i
Answer:
The type of quadrilateral is a rectangle
Step-by-step explanation:
we know that
A rectangle is a quadrilateral with four right angles and two pairs of congruent and parallel sides
see the attached figure to better understand the problem
therefore
The type of quadrilateral is a rectangle
Answer:
a) 9000 ft-lb
b) 9000 ft-lb
Step-by-step explanation:
Equation for the work:
The equation for the work done is given by:
In which F is the force needed and d is the distance. The time does not interfere on the work.
A 300-lb gorilla climbs a tree to a height of 30 ft
This means that 
Thus
The work done in both cases is of 9000 ft-lb, as the work is not a function of time.
Answer:
number of cups of pineapple to total number of cups...
6:11 or 6/11 or 6 to 11
Step-by-step explanation:
Answer:
The probability that <em>X</em> is less than 42 is 0.1271.
Step-by-step explanation:
The random variable <em>X </em>follows a Normal distribution.
The mean and standard deviation are:
E (X) = <em>μ</em> = 50.
SD (X) = <em>σ</em> = 7.
A normal distribution is continuous probability distribution.
The Normal probability distribution with mean µ and standard deviation σ is given by,
To compute the probability of a Normal random variable we first standardize the raw score.
The raw scores are standardized using the formula:
These standardized scores are known as <em>z</em>-scores and they follow normal distribution with mean 0 and standard deviation 1.
Compute the probability of (X < 42) as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that <em>X</em> is less than 42 is 0.1271.
The normal curve is shown below.
