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SpyIntel [72]
3 years ago
5

Determine whether a figure with the given vertices is a parallelogram. Use the method indicated.

Mathematics
1 answer:
Valentin [98]3 years ago
7 0
The answer is b because of the graph
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Determine the equations of the vertical and horizontal asymptotes, if any, for y=x^3/(x-2)^4
djverab [1.8K]

Answer:

Option a)

Step-by-step explanation:

To get the vertical asymptotes of the function f(x) you must find the limit when x tends k of f(x). If this limit tends to infinity then x = k is a vertical asymptote of the function.

\lim_{x\to\\2}\frac{x^3}{(x-2)^4} \\\\\\lim_{x\to\\2}\frac{2^3}{(2-2)^4}\\\\\lim_{x\to\\2}\frac{2^3}{(0)^4} = \infty

Then. x = 2 it's a vertical asintota.

To obtain the horizontal asymptote of the function take the following limit:

\lim_{x \to \infty}\frac{x^3}{(x-2)^4}

if \lim_{x \to \infty}\frac{x^3}{(x-2)^4} = b then y = b is horizontal asymptote

Then:

\lim_{x \to \infty}\frac{x^3}{(x-2)^4} \\\\\\lim_{x \to \infty}\frac{1}{(\infty)} = 0

Therefore y = 0 is a horizontal asymptote of f(x).

Then the correct answer is the option a) x = 2, y = 0

3 0
3 years ago
Read 2 more answers
One of the loudest sounds in recent history was that made by the explosion of Krakatoa on August 26-27, 1883. According to barom
liraira [26]

Answer:

150.51 dB

Step-by-step explanation:

Data provided in the question:

decibel level of sound at 161 km distance = 180 dB

d₁ = 161 km

d₂ = 4800 km

I₁ = 180 db

The formula for intensity of sound is given as:

I = 10\log(\frac{I_2}{I_1})

and the relation between intensity and distance is given as:

I ∝ \frac{1}{d^2}

or

Id² = constant

thus,

I₁d₁² = I₂d₂²

or

\frac{I_2}{I_1}=\frac{d_1}{d_2}

therefore,

I = 10\log(\frac{d_1}{d_2})^2

or

I = 10\times2\times\log(\frac{161}{4,800})

or

I = 20 × (-1.474)

or

I = -29.49

Therefore,

the decibel level on Rodriguez Island, 4,800 km away

= 180 - 29.49

= 150.51 dB

8 0
3 years ago
236x10 to the 5 power<br> Please help
Delicious77 [7]

Answer: 23600000

Step-by-step explanation:

8 0
3 years ago
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Anyone answer please it is my H.W <br>don't spam ❌❌​
Nata [24]

Answer:

2a) = soln

20/3

2) divide the numeral by dinominator..

3)a) soln 7 3/4

4*7+3

= 31

do all like this ❣️

3 0
2 years ago
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Pre-Algebra <br> Due now<br> Please help, thank you
slamgirl [31]

Answer:

1. The \sqrt{10} is between 3 and 4.

2. The \sqrt{54} is between 7 and 8.

3. The \sqrt{18} is between 4 and 5.

4. The \sqrt{99} is between 9 and 10.

5. The \sqrt{41} is between 6 and 7.

Step-by-step explanation:

1. \sqrt{10}: 10 is near the perfect squares 9 and 16, which would mean its answer is between their square roots which are 3 and 4.

2. \sqrt{54}: 10 is near the perfect squares 49 and 64, which would mean its answer is between their square roots which are 7 and 8.

3. \sqrt{18}: 10 is near the perfect squares 16 and 25, which would mean its answer is between their square roots which are 4 and 5.

4. \sqrt{99}: 10 is near the perfect squares 81 and 100, which would mean its answer is between their square roots which are 9 and 10.

5. \sqrt{41}: 10 is near the perfect squares 36 and 49, which would mean its answer is between their square roots which are 6 and 7.

8 0
2 years ago
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