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BigorU [14]
3 years ago
10

Suppose that y varies inversely with x. use the information to find k, and then choose the equation of variation. "x = 28" when

y = 2.
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
3 0
Given that y varies inversely with x, then:
y=k/x
where
k is the constant of proportionality:
k=yx
hence, given that x=28 when y=2, then the value of k will be:
k=28×2
k=56

Answer: k=56
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Dr. Graves placed the Venn Diagram and list of numbers on the board.
Yuri [45]

Answer:

  • J

Step-by-step explanation:

<u>List of numbers on the board:</u>

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We can split the numbers as following

<u>Rational numbers: </u>

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<u>Integers: </u>

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<u>Whole numbers: </u>

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Correct diagram is J

3 0
3 years ago
Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.
SashulF [63]

<u>ANSWER</u>

{r}^{2}  = 4  \cos2\theta

<u>EXPLANATION</u>

The Cartesian equation is

{( {x}^{2}  +  {y}^{2} )}^{2}  = 4( {x}^{2} -  {y}^{2}  )

We substitute

x = r \cos( \theta)

y = r \sin( \theta)

and

{x}^{2}  +  {y}^{2}  =  {r}^{2}

This implies that

{( {r}^{2} )}^{2}  = 4(( { r \cos\theta)  }^{2} -  {(r \sin\theta) }^{2}  )

Let us evaluate the exponents to get:

{r}^{4}  = 4({  {r}^{2} \cos^{2}\theta } -   {r}^{2}  \sin^{2}\theta)

Factor the RHS to get:

{r}^{4}  = 4{r}^{2} ({   \cos^{2}\theta } -   \sin^{2}\theta)

Divide through by r²

{r}^{2}  = 4 ({   \cos^{2}\theta } -   \sin^{2}\theta)

Apply the double angle identity

\cos^{2}\theta -\sin^{2}\theta=  \cos(2 \theta)

The polar equation then becomes:

{r}^{2}  = 4  \cos2\theta

7 0
3 years ago
o The day before the exam, Rebecca does a practice run. She attempts 20 glass vases and breaks 3 of them. What is her success ra
Rashid [163]

Answer:

If the goal is to break the vases: 3/20 = 15.0% or 0.15

If the goal is to not break the vases: 17/20 = 85.0% or 0.85

8 0
3 years ago
F(x) = x^2 is stretched vertically by a factor of 4 and shifted 1 unit down.<br><br> equation = ???
LenKa [72]

Answer:

f(x) = 4x² - 1

Step-by-step explanation:

The given function is; f(x) = x²

Now, when stretched vertically by a factor of 4, we have;

f(x) = 4x²

It's now shifted 1 unit down.. Thus, the final function will be;

f(x) = 4x² - 1

6 0
2 years ago
The second statement is the ____ of the first.
iren [92.7K]

Answer:

A. Converse

Step-by-step explanation:

The statement x=y and y=z is a

converse relation

In logic, there are different types of relation which includes

1. Inverse

2. Contrapositive inverse

3.converse

The converse is created by switching the hypothesis and conclusion just like the example given.

7 0
3 years ago
Read 2 more answers
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