Answer:
5 + 2i
We were given the complex numbers;
a = - 2 - 5i
and
b = - i
We want to find the product;
ab^3 ^ = Exponent
We substitute the complex numbers into the expression and simplify
( - 2 - 5i ) (i)^3 ^ = Exponent
This is rewritten as:
( - 2 - 5i) (i)^2 x i ^ = Exponent
Note that
i^2 = - 1 ^ = Exponent
We substitute to obtain:
( - 2 - 5i ) x - i
Let us expand to get:
- 2 x - i + 5i x - i
This simplifies to:
2i - 5i^2 ^ = Exponent
This gives:
2i - 5 ( - 1 ) = 2i + 5
Hope This Helps
DOH! My Brian Hurts
Answer:
14
Step-by-step explanation:
Let n represent the number of nickels. Then the number of quarters is 36-n. The difference is ...
(36-n) -n = 8 . . . . . 8 more quarters than nickels
18 -n = 4 . . . . . . . divide by 2
14 = n . . . . . . . . add n-4 to both sides
There are 14 nickels in the jar.
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<em>Additional comment</em>
The problem supplies more information than is needed for a solution. You can work this as a "sum and difference" problem, as we have above, or you can work it as a "mixture" problem where the total coin value comes into play. Any two of the three given relations will give a solution.
n + q = 36 . . . . . . . number of coins
5n +25q = 620 . . . value of coins (in cents)
q -n = 8 . . . . . . . . difference in number of coins
Answer:
One of the two conditions for equilibrium states that the sum of the torques around every possible center of rotation must be equal to zero. Does this mean that when you analyze a body in equilibrium
Step-by-step explanation:
One of the two conditions for equilibrium states that the sum of the torques around every possible center of rotation must be equal to zero. Does this mean that when you analyze a body in equilibrium
The selling price will be $192
$120 x 60% = $72 markup
$120 + $72 = $192
Answer: <span>2,856 ft³ .</span>
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Volume of a rectangle prism = BASE AREA * height ;
The "base area" is the area of the rectangle:
(Area = length width; or, "L * w").
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So, volume of a rectangular prism = L * w * h ; h = height ;
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V = L * w * h = 12 ft * 17 ft. * 14 ft = 2,856 ft³
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