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vovikov84 [41]
3 years ago
15

Can someone explain how to get an answer?

Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0

Answer:

0 \leqslant x \leqslant 1

Step-by-step explanation:

The graph covers a interval from 0 to 1. This would be best to model the performance of the spark plug becuase it shows the performance from the intervals 0 to 1.

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How do I determine z ∈ C:
saw5 [17]

Simplify the coefficient of z on the left side. We do this by rationalizing the denominators and multiplying them by their complex conjugates:

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3-2i}{1+i}\cdot\dfrac{1-i}{1-i} - \dfrac{5+3i}{1+2i}\cdot\dfrac{1-2i}{1-2i}

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{(3-2i)(1-i)}{1-i^2} - \dfrac{(5+3i)(1-2i)}{1-(2i)^2}

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 2i - 3i + 2i^2}{1-(-1)} - \dfrac{5 + 3i - 10i - 6i^2}{1-4(-1)}

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 5i + 2(-1)}2 - \dfrac{5 - 7i - 6(-1)}5

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2 - \dfrac{11 - 7i}5

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2\cdot\dfrac55 - \dfrac{11 - 7i}5\cdot\dfrac22

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{5 - 25i - 22 + 14i}{10}

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = -\dfrac{17 + 11i}{10}

So, the equation is simplified to

-\dfrac{17+11i}{10} z = \dfrac12 - \dfrac{2i}5

Let's combine the fractions on the right side:

\dfrac12 - \dfrac{2i}5 = \dfrac12\cdot\dfrac55 - \dfrac{2i}5\cdot\dfrac22

\dfrac12 - \dfrac{2i}5 = \dfrac{5-4i}{10}

Then

-\dfrac{17+11i}{10} z = \dfrac{5-4i}{10}

reduces to

-(17+11i) z = 5-4i

Multiply both sides by -1/(17 + 11i) :

\dfrac{-(17+11i)}{-(17+11i)} z = \dfrac{5-4i}{-(17+11i)}

z = -\dfrac{5-4i}{17+11i}

Finally, simplify the right side:

-\dfrac{5-4i}{17+11i} = -\dfrac{5-4i}{17+11i} \cdot \dfrac{17-11i}{17-11i}

-\dfrac{5-4i}{17+11i} = -\dfrac{(5-4i)(17-11i)}{17^2-(11i)^2}

-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44i^2}{289-121(-1)}

-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44(-1)}{410}

-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 123i}{410}

-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 41\cdot3i}{410}

-\dfrac{5-4i}{17+11i} = -\dfrac{1 - 3i}{10}

So, the solution to the equation is

z = -\dfrac{1-3i}{10} = \boxed{-\dfrac1{10} + \dfrac3{10}i}

4 0
3 years ago
What is m_2?<br> What is mz1?<br> 13<br> 16<br> 14<br> 15<br> 5<br> 750<br> 912<br> 1011<br> Done
djyliett [7]

Answer:

m2= 75 degrees

m1=105 degress

Step-by-step explanation:

subtract the given number (75) from 180 to get other half, since half a circle is 180 degrees. the subtract 180 degrees from the the angles you find

5 0
3 years ago
Is 9/3 a repeating decimal? Please answer!!
Sindrei [870]

Step-by-step explanation:

A repeating decimal is a recurring decimal. It has no end when divided.

9/3 is 3 so it is a terminating decimal.

<h2>it does not repeat</h2>
8 0
3 years ago
Read 2 more answers
EXPERT HELP: DON'T GUESS EXPLAIN THE ANSWER OR YOU WILL BE REPORTED
sveticcg [70]

Answer:

The correct answer is A.

Step-by-step explanation:

Given that a weather researcher compared Dublin, Ireland to Madrid, Spain, and she found that Dublin had a mean average temperature of 56.1ºF with a mean average deviation of 6.4ºF, while Madrid had a mean average temperature of 68ºF with a mean average deviation of 12.1ºF, the following conclusions can be drawn:

68 is higher than 56.1, so clearly Madrid has a higher average temperature than Dublin.

In turn, 12.1 is greater than 6.4, with which Madrid has a greater temperature variation than Dublin.

5 0
3 years ago
The bottom of a box has a surface area of 31.4 cm2. The mass of the box is 47.1 kilograms. Acceleration due to gravity at sea le
Alborosie
The correct answer to the physics problem in pressure given above would be 1.5 N.
 
First, I converted the cm^2 to m^ 2 (31.4 cm^2 = .00314 m^2).

Then I computed for the force (F= mg = (47.1kg)(9.8m/s^2) = 461.58 N) 

Consequently, I used the equation of pressure (P = Force/Area).
P = 461.58 N / .00314 m^2
P = 1.47 or 1.5 N
7 0
4 years ago
Read 2 more answers
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