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navik [9.2K]
3 years ago
13

What is the line parallel to 2x + 3y = 12

Mathematics
1 answer:
lesya692 [45]3 years ago
6 0
I hope this is helpful

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Give the slope between the points<br> (-2,0) (8,-5)
Rudik [331]

Answer:

-1/2

Step-by-step explanation:

y2-y1 = -5-0 =-5

x2-x1 = 8-(-2)=10

-5/10= -1/2

3 0
4 years ago
A mountain climber on MT. Everest is at 29,035 ft above sea level . A stone at the bottom of th dead sea is at 1,349 below sea l
Lana71 [14]
29035 is to the right of 0.
-1349 is to the left of 0.

so, the distance between them:

29035 - (-1349) = 29035+1349 = 30384
7 0
3 years ago
List and explain the elements that make up the structure of a fugue, then list and explain at least four techniques Bach utilize
mina [271]

Answer:

The fugue begins with an exposure. After the exhibition the alternative composer between episodes and presentations of the subject. In each fugue this scheme is developed in a varied way according to the invention and the needs of the composer.

Step-by-step explanation:

The elements that make up a musical fugue are:

The exhibition: It begins with one of the voices presenting the subject (name given to the theme on which a fugue is based). A second voice continues with the answer. The other voices continue alternately between subjects and responses. The exhibition concludes once all the voices have presented the subject or the answer.

While the second voice presents the answer the first voice makes a counterpoint to this answer. Similarly, when the third voice enters, the first two accompany it with other counterpoints. This counterpoint can be called counterpoint or free counterpoint. It is called a countersubject when it appears next to the answer. When the counterpoint is different in each presentation it is known as a free counterpoint.

The final section of the fugue begins when the subject returns to the initial hue of the fugue and from here to the end of the work. This ending is usually formed in several measures added to the main structure. This conclusion is the coda.

In the first place, he must remember that Bach was a self-taught, he was trained alone and specifically by the study of music itself, by the observation and analysis of other people's compositions, very often of poor significance in front of his own and that he copied, however, of his handwriting. The pedagogical activity of Bach and what he taught: "We must make the fugue of the subject", this means that each subject requires his fugue. Bach added another teaching, "voices must not enter without having something to say, or call before they have said everything they have to say," which means that they have voices should not speak for speaking and that they have no obligation to be always present.

In conclusion, Bach did not give any norm about the fugue, not least in terms of the genre of procedures for cases where this kind of compositions could be applied, leaving subjects free to perform this type of music.

6 0
3 years ago
A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h,
Vlad1618 [11]

Answer:

Reaches a maximum height of 235.00 feet in 3.75 seconds.

Step-by-step explanation:

The height of the boulder, h,  in feet after t seconds is given by the function is given by :

h=-16t^2+120t+10 .....(1)

For maximum height, put \dfrac{dh}{dt}=0

i.e.

\dfrac{d(-16t^2+120t+10)}{dt}=0\\\\-32t+120=0\\\\32t=120\\\\t=3.75\ s

Put t = 3.75 in equation (1). So,

h=-16(3.75)^2+120(3.75)+10\\\\h=235\ \text{feet}

So, the boulder's maximum height is 235 feets and it takes 3.75 s to reach to its maximum height.

3 0
3 years ago
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 260 vinyl​ glov
yawa3891 [41]

Answer:

Step-by-step explanation:

pop 1 n₁ = 260, p₁ = 58% = 0.58

pop 2 n₂ = 260, p₂ = 8% = 0.08

Null hypothesis: p₁ ≤ p₂

Alternative hypothesis: p₁ > p₂

The test statistic : p₁-p₂ / √{p-sample (1 - p-sample) (1/n₁ + 1/n₂)}

where p-sample is sample proportion = p₁n₁ +p₂n₂ / n₁+n₂

Thus, p-sample = 0.58x260 +0.08x260 / 260+260 =150.8+20.8 / 520 = 171.6 / 520 = 0.33.

Thus, the test statistic is (0.58 - 0.08) / √[0.33 (1-0.33) (0.0038+0.0038)

  = 0.5 / √[0.33(0.67) (0.0076)

= 0.5 / √0.00168036

= 0.5 / 0.04099

= 12.20

P = P(Z>12.20) = 1-P(Z≤12.20) at a significance level of 0.1= the p-value is less than the hypothesized thus, we have sufficient evidence to reject the null hypothesis and concluding that vinyl gloves have a greater virus leak than latex gloves.

5 0
4 years ago
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