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iren [92.7K]
4 years ago
6

-3j - (-4) over -6 = 12 j= ? ​

Mathematics
1 answer:
babymother [125]4 years ago
5 0

Answer:

j =76/3

Step-by-step explanation:

-3j -  -4

------------------ = 12

-6

Multiply each side by -6 to clear the fraction

-3j +4

------------------ * -6 = 12 *-6

-6

-3j +4 = -72

Subtract 4 from each side

-3j +4-4 = -72 -4

-3j = -76

Divide each side by -3

-3j/-3 = -76/-3

j = 76/3

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Delvig [45]

Answer:

so 1- 2 is  negative 3 so minus tha by 3 than 4x2

Step-by-step explanation:

8 0
3 years ago
What is the y-value in the solution to this system of linear equations?
garri49 [273]

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The answer is the first one:  -4 on Edge

Step-by-step explanation:

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How much is 2 plus 9​
Rama09 [41]

For this case we must represent the following expression algebraically, in addition to indicating its result:

"2 plus 9"

So, we have:

2 + 9 =

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3 years ago
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Find the area of an equi. triangle with an apothem of 2ft
Kaylis [27]

Answer:

(1/2)(4√3ft)(6 ft) = 12√3ft2.

Step-by-step explanation:

For an equilateral triangle, the apothem is 1/3 of the height, so the height is 3 times 2 ft or 6 ft.

The base of the equilateral triangle is the apothem times 2√3 or 2ft times 2√3 = 4√3ft.

So the area of the triangle is (1/2)(base)(height) or

(1/2)(4√3ft)(6 ft) = 12√3ft2.

5 0
3 years ago
(NEED HELP FAST , WILL GIVE BRAINLIEST!!!)
Kryger [21]

Answer:

Explained below.

Step-by-step explanation:

The data from the scatter plot is as follows:

Arm Span      Height

   19.5               25

   35.5              35

   37.0              39

   40.5             40

   44.5             45

   45.5             50

   49.0             49

    51.0             55

   52.5             47

   59.0             60

   61.0              58

(1)

Compute the value of slope and intercept as follows:

\sum{X} = 495 ~,~ \sum{Y} = 503 ~,~ \sum{X \cdot Y} = 23822 ~,~ \sum{X^2} = 23660.5

\begin{aligned}        b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 503 \cdot 23660.5 - 495 \cdot 23822}{ 11 \cdot 23660.5 - 495^2} \approx 7.174 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 11 \cdot 23822 - 495 \cdot 503 }{ 11 \cdot 23660.5 - \left( 495 \right)^2} \approx 0.857\end{aligned}

The equation of the line of best fit is, <em>y</em> = 0.857·<em>x</em> + 7.174.

(2)

The slope of the line represent the rate of change in <em>y</em> caused by one unit change in <em>x</em>.

In this case the slope of <em>m</em> = 0.857 indicates that as the arm span increases by 1 unit the height increases by 0.857 units.

(3)

To perform the Residual Test, simply take two values from the table and interchange the <em>x</em> and <em>y</em> values.

Consider the values: (37, 39) and (51, 55)

Compute the value of <em>y</em> if <em>x</em> = 39:

y = 0.857\cdot x + 7.174\\=0.857\times 39+7.174\\=40.597\\\approx 40.6

The new value of <em>y</em> (40.6) is close to the original value (39.0)

Compute the value of <em>y</em> if <em>x</em> = 55:

y = 0.857\cdot x + 7.174\\=0.857\times 55+7.174\\=54.309\\\approx 54.0

The new value of <em>y</em> (54) is close to the original value (55)

Thus, it can be said that the line of best fit models the data provided.

(4)

The line of best fit is:

<em>y</em> = 0.857·<em>x</em> + 7.174

The slope of the line is positive.

This implies that there is a positive relationship between the two variables.

The formula of slope in terms of correlation coefficient is:

\text{Slope}=r\times\sqrt{\frac{Var(x)}{Var(x)}}

The correlation coefficient is directly proportional to the slope.

This implies that the correlation coefficient is also positive.

Thus, the variables Arm span and Height are positively correlated.

4 0
3 years ago
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