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Inga [223]
3 years ago
14

3 and 4 I need help with so confusing

Mathematics
1 answer:
nadya68 [22]3 years ago
7 0

Answer: 3.  (3,-3) and 4. (-3,4)

Step-by-step explanation: Number 4 is self explanatory of what they are and number 3, you need to figure out what minus 6 equals -3 and that happens to be 3.

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A company plans to build at least 152 igloos in a single week by employing skilled workers from the cities of Tomsk and Kyzyl. A
Nikolay [14]

Answer:

each Tomskians will build 6 igloos per week

each Kyzylians will build 5 igloos per week

They achieved their goal

Step-by-step explanation:

6T + 5K ≥ 152

T = Tomskians

and each Tomskians will build 6 igloos per week

K = Kyzylians

and each Kyzylians will build 5 igloos per week

This is found by taking the coefficient on the inequality.

Substituting the values of T =10 and K = 19

6T + 5K ≥ 152

6*10 + 5*19  ≥ 152

60 + 95

155  ≥ 152

This is true, so they hired enough people.

5 0
3 years ago
Z^5=-243i, find the solution to the equation whose argument is strictly between 180 degrees and 270 degrees. Round your answer t
11Alexandr11 [23.1K]

Answer:

The solution is z = -2.853 - i 0.927.

Step-by-step explanation:

Complex power is determined by means of the De Moivre's Theorem, whose expression is:

z^{n} = r^{n} \cdot (\cos n\theta + i \sin n\theta)

Where r is the norm of the complex number. In this case, expression can be written as:

-i 243 = 3^{5} \cdot (\cos 5\theta + i \sin 5\theta)

The real component must be equal to zero and complex component must be equal to -1. That is to say:

\cos 5\theta = 0

\sin 5\theta = -1

Possible solutions for each component are, respectively:

Real component

5\theta = \cos^{-1}0

5\theta = \frac{\pi}{2} \pm \pi\cdot j, \forall j \in \mathbb{N}_{O}

\theta = \frac{\pi}{10} \pm \frac{\pi}{5}  \cdot j, \forall j \in \mathbb{N}_{O}

Possible solutions: \frac{11\pi}{10}, \frac{13\pi}{10}, \frac{3\pi}{2}

Complex component

5\theta = \sin^{-1}(-1)

5\theta = \frac{3\pi}{2} \pm 2\pi \cdot j, \forall j \in \mathbb{N}_{O}

\theta = \frac{3\pi}{10} \pm \frac{2\pi}{5}  \cdot j, \forall j \in \mathbb{N}_{O}

Possible solutions: \frac{11\pi}{10}, \frac{3\pi}{2}

There is one solution whose argument is strictly between 180 degrees (\pi) and 270 degrees (1.5\pi).

z = 3 \cdot \left( \cos \frac{11\pi}{10} + i \sin \frac{11\pi}{10} \right)

z = -2.853 - i 0.927

6 0
3 years ago
Marianna wants to buy a new tenis racket cost is $57.50 .She has $8 and plans to save $4.50 each week. How many weeks will it ta
meriva

You need to 57.50 by 8 and that will show you how long
5 0
3 years ago
Look at picture to help please! tell me steps so i can see how you did it
Aleonysh [2.5K]
=7/(32+10)÷1/(36×36)×9/(6×9)
=1/6×1296×1/6
=9

7 0
3 years ago
A florist shop represents its first month’s sales with the equation y=168x+8, where x represents the number of days that the sho
S_A_V [24]
The answer is C 
you substitute 3200 in for y
3200 = 168x +8
3192 = 168x
x=19
7 0
3 years ago
Read 2 more answers
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