.Resolva as equações, sendo U = Q (separe as respostas por vírgulas). A) 3y - 2 = - y + 4 B) 5 - 4x = x + 3 + 2x C) - 12 - 9x = - 4 - 12x D) - x - 6 + 3x = -2x + 8x + 15

Answer:

The Prime Meridian is a line of longitude designated as 0 degrees, and it runs through Greenwich, London. When traveling eastward or westward from the Prime Meridian, you can travel up to 180 degrees in either direction before heading back toward the Prime Meridian.

So, you can travel a maximum of 180 degrees eastward or 180 degrees westward from the Prime Meridian before changing direction and heading back toward it. Beyond 180 degrees, you would start approaching the Prime Meridian from the opposite direction.

Final answer:

You can travel 180 degrees eastward or westward from the prime meridian before you start heading back towards it. This is primarily due to the arrangement of longitude and the physical structure of the earth.

Explanation:

If you travel eastward or westward from the zero (prime) meridian, the maximum degree that one can travel in either direction, assuming from the zero meridian, prior to heading back is 180 degrees. This is primarily due to the spherical structure of the earth and the way longitude is arranged.

This is defined as the International Date Line and lies exactly opposite the Prime Meridian, creating a semi-circular line. The Prime Meridian, by international agreement, is set at 0° and runs through Greenwich, England. This serves as a starting point for the measurement of longitude.

As you travel in either direction, the degree of longitude increases until you hit the International Date Line at 180°. Beyond the 180° mark, the degree starts decreasing heading back towards the Prime Meridian. Geography and astronomy recognise and adhere to these conventions.

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The volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis is (πln(3)3)/3.

To find the volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis, we can use the disk method. The disk method involves slicing the region into thin disks and adding up their volumes.

The volume of each disk is πr2h, where r is the radius of the disk and h is the thickness of the disk. In this case, the radius of each disk is x and the thickness is dx.

So, the volume of the region is:

V = ∫0ln(3)πx2dx

We can use the power rule for integration to solve this integral:

V = π∫0ln(3)x2dx = π[(x3)/3]0ln(3) = π[(ln(3)3)/3 - (03)/3] = (πln(3)3)/3

Therefore, the volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis is (πln(3)3)/3. This is the exact form of the volume.

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From the Death Valley to Black Mountain, it rises 1032 feet because Death Valley is 1032 ft lower than Black Mountain in elevation.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Death Valley CA is 282 feet below sea level.

Black Mountain, KY is 750 feet above sea level.

Death Valley (282ft) + 282ft = sea level (0).

0 + 750ft = Black Mountain (750ft).

282ft + 750ft = 1032ft.

From Death Valley to Black Mountain, it rises 1032 feet. Death Valley is 1032 ft lower than Black Mountain in elevation.

Thus, from the Death Valley to Black Mountain, it rises 1032 feet because Death Valley is 1032 ft lower than Black Mountain in elevation.

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The length of the altitude of the equilateral triangle is 9 units.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Use the sin angle ratio and calculate,

Sine = Opposite / Hypotenuse

sin 60° = a / (6√3)                        But sin60° = √3/2

√3/2 = a/(6√3)

Cross multiply

2 x a = 6√3 x √3

2a = 6 x √(3 x 3)

2a = 6 x 3

a = 6 x 3/2

a = 3 x 3 = 9

Therefore, the length of the altitude of the equilateral triangle is 9 units.

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Answer:

$8,500

Step-by-step explanation:

Let the original gross salary be "X" dollars.

First, it was increased by 8%, which can be calculated as 1.08 times the original salary:

1.08 * X

Then, this new amount was increased by 10%, which can be calculated as 1.10 times the previous amount:

1.10 * (1.08 * X)

The final amount is given as $10,098:

1.10 * 1.08 * X = 10,098

Now, solve for X:

1.188 * X = 10,098

Divide both sides by 1.188 to find X:

X = 10,098 / 1.188

X ≈ 8,500

So, the original gross salary was approximately $8,500.

Answer:

Step-by-step explanation:

The coefficient of determination = = 0.7832

It means about 78% variation in waist size of males can be explained by their weight and about 23% can not be explained.