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Ray Of Light [21]
3 years ago
8

What is the equation of the line that is parallel to the line y = -1/3x+4

Mathematics
1 answer:
RUDIKE [14]3 years ago
8 0

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{1}{3} x + 4 ← is i slope- intercept form

with slope m = - \frac{1}{3}

Parallel lines have equal slopes, thus

y = - \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = - 2 + c ⇒ c = 5 + 2 = 7

y = - \frac{1}{3} x + 7 ← equation of parallel line

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Recent studies indicate that the average surface temperature of the
andreev551 [17]

Answer:

Slope : The rate of increase of temperature on the earth's surface is 0.02°C per year since 1900.

T-intercept : 8.5 represents the temperature in °C of the earth's surface in the year 1900.

Step-by-step explanation:

The average surface temperature of Earth rising steadily. Scientists have modeled the temperature by the equation, T = 0.02t + 8.50 where t represents years since 1900 and T is the temperature in ◦C.

Now, the slope of the model equation is 0.02 which means the rate of increase of temperature on the earth's surface is 0.02°C per year since 1900.

Again, the T-intercept i.e. 8.5 represents the temperature in °C of the earth's surface in the year 1900. (Answer)

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3 years ago
Should you use Sine, Cosine, or Tangent to solve the following problem
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In which division will the quotient be a three digit number ?
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Answer:

b)612÷6

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5 0
3 years ago
The data below represents the number of desks on each floor of Texter Corporate.
xxMikexx [17]

Answer:

Box-plot = {54, 65, 69, 73, 76}

Step-by-step explanation:

The data provided for the number of desks on each floor of Texter Corporate is as follows:

S = {54, 60, 65, 66, 67, 69, 70, 72, 73, 75, 76}

There are a total of <em>n</em> = 11 floors.  

A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,

  • Minimum (shown at the bottom of the chart)
  • First Quartile (shown by the bottom line of the box)
  • Median (or the second quartile) (shown as a line in the center of the box)
  • Third Quartile (shown by the top line of the box)
  • Maximum (shown at the top of the chart).

Arrange the data in ascending order as follows:

S': = {54 , 60 , 65 , 66 , 67 , 69 , 70 , 72 , 73 , 75 , 76}

The minimum value is:

Minimum = 54

The maximum value is:

Maximum = 76

As there are odd number of values the median is the middle value.

Median = 6th value = 69

The first quartile is the median of the first half of the data.

S'₁ = {54 , 60 , 65 , 66 , 67}

First quartile = 3rd value = 65

The third quartile is the median of the second half of the data.

S'₂ = {70 , 72 , 73 , 75 , 76}

Third quartile = 3rd value = 73

Thus, summarized data for the box plot is:

Box-plot = {54, 65, 69, 73, 76}

The box plot is attached below.

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3 years ago
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