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lisov135
1 month ago
6

Let x = a + bi and y = c + di and z = f + gi Which statements are true? Check all of the boxes that apply. x + y = y + x (x × y)

× z = x × (y × z) x – y = y – x (x + y) + z = x + (y + z) (x – y) – z = x – (y – z)
Mathematics
2 answers:
babunello [11.8K]1 month ago
7 0

the accurate options are:

A, B, D

hope this helps!:o)

babunello [11.8K]1 month ago
5 0

The standard principles of addition and multiplication function similarly for complex numbers as they do for real numbers. The valid statements include...

  • x + y = y + x............... commutative property of addition
  • (x × y) × z = x × (y × z)........ associative property of multiplication
  • (x + y) + z = x + (y + z)........ associative property of addition
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If the farmer has 234 feet of fencing, what are the dimensions of the region which enclose the maximal area?
lawyer [12517]
The dimensions are 58 ft × 58 ft. Step-by-step explanation: Let the length of the region be represented as x feet, and the width as y feet. Given a perimeter of 234 feet, the area A can be represented as xy. By differentiating the equation with regards to x, we can determine the point of maximum area, revealing that for x = 58.5 feet, the area's maximum occurs when both dimensions are 58.5 ft.
8 0
19 days ago
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Scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. what i
AnnZ [12381]
The highest 5% of scores corresponds to the 95th percentile, meaning the cutoff score k is defined as

\mathbb P(X

When transformed into the standard normal distribution,

\mathbb P(X

A cumulative probability of 95% corresponds to a z-score of approximately k^*=1.6449, indicating that the cutoff score is likely around

1.6449=\dfrac{k-76.4}{6.1}\implies k\approx86.4
5 0
1 month ago
The value of an antique chair is expected to increase by 3% every year. If the chair was bought for $1,020 in 2001, find its exp
Zina [12379]
Greetings
The equation is
A = p (1 + r)^t
What is the future value?
P is the present value 1020
R is the rate of increase 0.03
T is the duration 2015−2001=14 years
So
A = 1,020 × (1 + 0.03)^(14)
A = 1,542.8 rounding it gives
A = 1543

Hope this information is helpful
8 0
24 days ago
Write this number in expanded form 719,927
babunello [11817]
Seven hundred nineteen thousand, nine hundred twenty-seven
6 0
29 days ago
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On a vacation in Puerto Rico, Rose jumped off a cliff into a river in EL Yunque Forest Reserve. Her height as a function of time
Leona [12618]
H (t) = - 16t ^ 2 + 16t + 480
To address this, we first set the polynomial to zero to find its roots.
So we have:
0 = -16t ^ 2 + 16t + 480
This leads us to the roots of the polynomial:
t1 = -5
t2 = 6
We disregard the negative root since time cannot be less than zero.
Final answer:
Rose takes about
t = 6 seconds
4 0
16 days ago
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