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Sladkaya [172]
3 years ago
13

NEED HELP! ASAP! 50 POINTS!

Mathematics
1 answer:
Lerok [7]3 years ago
6 0

Answer:

y=13\text{ miles per gallon}

Step-by-step explanation:

We have the two points: (0, 11) and (3, 50).

And we want to find the rate of change in y relative to x, where x is the gallons and y is the miles.

In simple terms, we want to find the slope between the two points.

So, let's use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let (0, 11) be (x₁, y₁) and let (3, 50) be (x₂, y₂). Substitute. Let's also put "miles" in the numerator with the Ys and "gallons" in the denominator with the Xs. This yields:

y=\frac{50-11\text{ miles}}{3-0\text{ gallons}}

Subtract and reduce:

y=39\text{ miles}/3\text{ gallons}=13\text{ miles per gallon}

And we're done!

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: West Gorham High School is to be located at the population center of gravity of three communities: Westbrook, population 16,00
xenn [34]

Answer:

  (a) 43.6490°N, 70.3928°W

  (b) Baker's Field

Step-by-step explanation:

The locations are all within a 7-mile square, so we will make the assumption of a flat Earth with parallel longitude lines. Then the "central" location will be the weighted average of the latitude and longitude coordinates.

<h3>(a)</h3>

Total population is 16000 +22000 +36500 = 74,500. For purposes of the arithmetic, we will subtract 43 from latitude and 70 from longitude, then multiply each fraction by 10. Similarly, we will divide each population by 1000.

The weighted average location is found from ...

  (16/74.5)(6.769, 3.717) +(22/74.5)(5.781, 3.222) +(36.5/74.5)(6.795, 4.447)

  = (1.4537, 0.7983) +(1.7071, 0.9515) +(3.3291, 2.1787) = (6.490, 3.928)

The center of gravity is about 43.6490°N, 70.3928°W.

__

<h3>(b)</h3>

The coordinate differences from the center of gravity are (in (°lat, °long)) ...

  Baker's Field: (0.0294, -0.0101)

  Lonesome Acres: (-0.1371, -.0072)

Clearly, Baker's field is closer to the site of part (a).

_____

<em>Additional comment</em>

Distance calculations could be refined further by considering that a degree of longitude at this latitude represents about 0.72 times the distance of a degree of latitude. In this problem, the location of Lonesome Acres has a latitude difference that is several times any of the other coordinate differences, so it is clearly much farther away from the desired location.

The calculations done here are a sort of first-level approximation. The least-significant digits in the coordinates represent a distance of less than 50 feet. If you really want accuracy to that level, then the (approximately) spherical shape of the Earth needs to be accounted for. As a second-level approximation, some reference point needs to be identified, and coordinates in miles (or feet) need to be expressed in relation to that reference. The best accuracy would be obtained using spherical trigonometry to identify the distances.

We expect any school that is constructed to be somewhat larger than 50 feet in any direction, so accuracy to the 4th decimal place in these locations is probably not required--except to satisfy some answer-checker.

5 0
2 years ago
Please help! Due tomorrow!!!
Elodia [21]

Answer:

y=7.5x+6.2

Step-by-step explanation:

Hopefully this is the answer

5 0
2 years ago
Solve -x/3&gt;5 i don't know what to do
jonny [76]

Answer:

It's D, x≤-15

7 0
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What quadrilateral has at least one pair of parallel sides,but cannot be called a parallelogram
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I believe it's a trapezoid
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