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Fofino [41]
3 years ago
7

Which complex number is equivalent to (5 + 12i) − (9i2 − 6i), where i = −1 ?

Mathematics
1 answer:
Alchen [17]3 years ago
5 0

Answer:

14 + 18i

Step-by-step explanation:

(5 + 12i) - (9 {i}^{2}  - 6i) \\  = (5 + 12i) - (9 \times  (- 1) - 6i) \\  = (5 + 12i) - ( - 9 - 6i) \\  = (5 + 12i)  +  (  9  + 6i) \\  = 5 + 12i + 9 + 6i \\ \red { \bold{  = 14 + 18i}}

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ANSWER FOR BRAINLIEST
tester [92]

The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:

16 chairs; 24 tables

Time used = 16 x 12 + 24 x 15 = 192 + 360 = 552

Wood used = 16 x 8 + 24 x 20 = 128 + 480 = 608  

15 chairs; 18 tables

Time used = 15 x 12 + 18 x 15 = 180 + 270 = 450

Wood used = 15 x 8 + 18 x 20 = 120 + 360 = 480  

12 chairs; 28 tables

Time used = 12 x 12 + 28 x 15 = 144 + 420 = 564

Wood used = 12 x 8 + 28 x 20 = 96 + 540 = 636  

18 chairs; 20 tables

Time used = 18 x 12 + 20 x 15 = 216 + 300 = 516

Wood used = 18 x 8 + 20 x 20 = 144 + 400 = 544

Therefore, the only option that meets the requirements of time and wood used is that of 15 chairs and 18 tables, whose economic benefit will be the following:

15 x 65 + 18 x 90 = X

975 + 1,620 = X

2,595 = X

Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

7 0
3 years ago
Read 2 more answers
Denis, Vera, and Yash are rock climbers. Yash is connected to Vera by a
grin007 [14]

Answer:

33.14\°

Step-by-step explanation:

Let

Y ----> field of vision that Yash's camera would need

we know that

Applying the law of sines

\frac{sin(Y)}{25}=\frac{sin(41\°)}{30}

Solve for sin(Y)

sin(Y)=\frac{sin(41\°)}{30}(25)

Y=sin^{-1}[\frac{sin(41\°)}{30}(25)]

Y=33.14\°

8 0
3 years ago
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on a grid starting at (0,0) if you were go to 1 unit and 2 units left what coordinates would you end up at? What quadrant would
snow_tiger [21]

Answer:

tou would be in quadrant #2

6 0
3 years ago
Which statement is true about two angles that are complementary?
m_a_m_a [10]
Complementary angles are two angles that total 90°, so yes, you are correct.

ANSWER: The answer is (B) the sum of the measures of the two angles is 90°.

Hope this helps! :)
5 0
3 years ago
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Answer:

Step-by-step explanation:

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3 0
2 years ago
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