Answer:
-96 + 672\,i
Step-by-step explanation:
This is a product of complex numbers, so we have in mind not only the general rules for multiplying binomials, but also the properties associated with the powers of the imaginary unit "i", in particular 
We start by making the first product indicated which is that of a pure imaginary number (-6i) times the complex number (8-6i). We use distributive property and obtain the new complex number that results from this product:
Now we make the second multiplication indicated (using distributive property as one does with the product of binomials), and combine like terms at the end:
Answer:
the answer is 16
Step-by-step explanation:
Answer:
The expected number of times is 4.
Step-by-step explanation:
Looking at the question, we see that this follows a geometric distribution because it is asking for the expected number of trials hat will bring about the FIRST SUCCESS. The probability of success is
Since it is a geometric distribution, we know that the expected value of a random variable X, E(X) that follows a geometric distribution is given as:
E(X) = 1/p where p is the probability of success.
Therefore, the expected number of times will be
E(X) = 1/(1/p) = 1/(1/4) = 4.
Hence, the expected number of times is 4.
Answer:
The sides are not equal therefore there is no solutions.
Step-by-step explanation:
First Expand 4(-8x+5):
a=4 ,b=-8x, c=5
Distribute:
=4(-8x)+4*5
Apply plus and minus rule:
=-4*8x+4*5
Simplify:
-4*8x+4*5
Multiply the numbers: 4*8=32
=-32x+4*5
Multiply the numbers:4*5=20
=-32x+20
-32x+20=-32x-26
Subtract 20 from both sides:
-32x+20-20=-32x-26-20
Simplify:
-32x=-32x-46
Add 32x to both sides:
-32x+32x=-32x-46+32x
Simplify:
0=-46
The sides are not equal:
No solution
Answer:
The volume of the pyramid is 867 inch^3
Step-by-step explanation:
Here in this question, we are interested in calculating the volume of a square based pyramid.
Mathematically, we can use the formula below to calculate the volume V of a square based pyramid.
V = a^2h/3
where a represents the length of the side of the square and h is the height of the pyramid
From the question, the length of the side of the square is 17 in while the height is 9 in
Plugging these values, we have ;
V = (17^2 * 9)/3 = 17^2 * 3 = 867 cubic inch
