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3 years ago

PLEASE CHECK ANSWER!! Which relationship shows a quadratic variation?

Mathematics

2 answers:

Zinaida [17]3 years ago

8 0

Answer:

Option D) shows quadratic variation.

Step-by-step explanation:

We are given the following information in the question:

Variation refers to a relationship between two variables.
There are a number of different types of variation, such as direct variation or inverse variation.
Quadratic variation to describe a way in which two variables relate to one another.
We could write quadratic variation as:

$y = kx^2$ , where k is a constant.

Option D) is an example of quadratic variation and can be explained as:

For k = 3

$y(x) = 3x^2\\\\x = 1\\y(1) = 3(1)^2 = 3\\\\x = 2\\y(2) = 3(2)^2 = 12\\\\x = 3\\y(3) = 3(3)^2 = 27\\\\x = 4\\y(4) = 3(4)^2 = 48$

Hence, Option D) shows a relation of quadratic variation.

Vlada [557]3 years ago

5 0

Option B. I am 100% sure that the answer is option B. Hope that helped! :D
If not then I am really sorry!

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Select all irrational numbers.

Maurinko [17]

Answer:

OPTION A

OPTION B

OPTION C

Step-by-step explanation:

Irrational numbers are the subset of real numbers. Their decimal representation neither form a pattern nor terminate.

OPTION A: $\sqrt{\frac{1}{2}}$

This is equal to $\frac{1}{\sqrt{2}}$ .

$\sqrt{2} = 1.414...$ is non-terminating. So, it is an irrational number. Hence, the reciprocal of an irrational number would also be irrational. So, OPTION A is irrational.

OPTION B: $\sqrt{\frac{1}{8}}$

This is equal to $\frac{1}{2\sqrt{2}}$ . Using the same logic as Option A, we regard OPTION B to be irrational as well.

OPTION C: $\sqrt{\frac{1}{10}}$

This is equal to $\frac{1}{\sqrt{5}\sqrt{2}}$ .

Both $\sqrt{5}$ and $\sqrt{2}$ are irrational. So, the product and the reciprocal of the product is irrational as well. So, OPTION C is an irrational number.

OPTION D: $\sqrt{\frac{1}{16}}$

16 is a perfect square and is a rational number. $\frac{1}{\sqrt{16}}$ = $\frac{1}{4}$ . This is equal to 0.25, a terminating decimal. So, OPTION D is a rational number.

OPTION E: $\sqrt{\frac{1}{4}}$

4 is a perfect square as well. $\frac{1}{\sqrt{4}} = \frac{1}{2} = 0.5$ , a terminating decimal. So, OPTION E is a rational number.

5 0

2 years ago

PLEASEEEE HELP!! This is my SECOND time asking :((

adoni [48]

Answer:

Step-by-step explanation:

formula: Y2 - Y1

X2 - X1

-18 = X1

16 = Y1

31 = X2

40 = Y2

40 - 16. = 24

31 - (-18) 49

3 0

3 years ago

Thomas invested $40,000. He put part of the money in an account paying 2% interest and the remainder

Rainbow [258]

Answer:

18,000 at 2%

22,000 at 3%

Step-by-step explanation:

x: the amount in account paying 2% interest

y: the amount in stock paying 3% interest

x + y = 40,000

2%. x + 3%. y = 1020

⇒ x = 18,000

y = 22,000

5 0

2 years ago

A weather forecast says that there is a 40% chance of rain today find the odds against rain

san4es73 [151]

Answer:

60%

Step-by-step explanation:

100%-40%-60%

4 0

2 years ago

<img src="https://tex.z-dn.net/?f=5%20-%205%20%5Ctimes%202%20%2B%2011" id="TexFormula1" title="5 - 5 \times 2 + 11" alt="5 - 5 \

Rasek [7]

Answer:

Step-by-step explanation:

We use BODMAS/BIDMAS here.

First, we do 5 × 2, as multiplication comes before subtracting and adding.

5 × 2 = 10

Now we can just add and subtract.

5 - 10 = -5

-5 + 11 = 6

3 0

2 years ago