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3 years ago

If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n?

Mathematics

2 answers:

Goshia [24]3 years ago

5 0

Answer:

EDGE 2020

Step-by-step explanation:

C) 30

trust me

defon3 years ago

3 0

For this case we have that if "y" varies directly with "x", we can propose:

$y = kx$

Where "k" represents the constant of proportionality.

According to the data:

$180 = kn\\n = k5$

We substitute the second equation in the first:

$180 = k * k5\\180 = 5k ^ 2\\k ^ 2 = \frac {180} {5}\\k ^ 2 = 36$

We apply root:

$k = \pm \sqrt {36}\\k = \pm6$

If k = 6, then $n = 6 * 5 = 30$

Answer:

$n = 30$

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olga_2 [115]

Answer: y = v₀tgθx - gx²/2v₀²cos²θ

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3 years ago

Which function has a range of y<3? y=3(2) y=2(3) O y=-(2)* +3 O y= (2)* - 3

VARVARA [1.3K]

option C is correct.

Step-by-step explanation:

If a function is defined as

$f(x)=a^x$ where, a>0, then the range of the function is greater than 0.

$a^x>0$ .... (1)

Option A: Using inequity (1),

$2^x>0$

Multiply both side by 3.

$3(2^x)>0$

The range of first function is y>0. Therefore option A is incorrect.

Option B: Using inequity (1),

$3^x>0$

Multiply both side by 2.

$2(3^x)>0$

The range of second function is y>0. Therefore option B is incorrect.

Option C: Using inequity (1),

$2^x>0$

Multiply both side by -1.

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Add 3 on both the sides.

$-2^x+3$

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The range of first function is y<3. Therefore option C is correct.

Option D: Using inequity (1),

$2^x>0$

Subtract 3 from both the sides.

$2^x-3>-3$

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The range of second function is y>-3. Therefore option D is incorrect.

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This morning I went to Larry's for breakfast.

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Answer:

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Step-by-step explanation:

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3 years ago

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Step2247 [10]

Answer:

Given radius (R) = 13

Diameter = 2R = 26

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= 26π

= 81.681408993335

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Step-by-step explanation:

While a circle, symbolically, represents many different things to many different groups of people including concepts such as eternity, timelessness, and totality, a circle by definition is a simple closed shape. It is a set of all points in a plane that are equidistant from a given point, called the center. It can also be defined as a curve traced by a point where the distance from a given point remains constant as the point moves. The distance between any point of a circle and the center of a circle is called its radius, while the diameter of a circle is defined as the largest distance between any two points on a circle. Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle. All of these values are related through the mathematical constant π, or pi, which is the ratio of a circle's circumference to its diameter, and is approximately 3.14159. π is an irrational number meaning that it cannot be expressed exactly as a fraction (though it is often approximated as 22/7) and its decimal representation never ends or has a permanent repeating pattern. It is also a transcendental number, meaning that it is not the root of any non-zero, polynomial that has rational coefficients. Interestingly, the proof by Ferdinand von Lindemann in 1880 that π is transcendental finally put an end to the millennia-old quest that began with ancient geometers of "squaring the circle." This involved attempting to construct a square with the same area as a given circle within a finite number of steps, only using a compass and straightedge. While it is now known that this is impossible, and imagining the ardent efforts of flustered ancient geometers attempting the impossible by candlelight might evoke a ludicrous image, it is important to remember that it is thanks to people like these that so many mathematical concepts are well defined today.

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D = 2R

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