All categories

3 years ago

Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation. y = 2.5 when x = 9

Mathematics

2 answers:

Ahat [919]3 years ago

7 0

1. k = 2<span>2.5</span><span>
2. xy=k

thats what i got</span>

attashe74 [19]3 years ago

7 0

the answer is

k = 22.5 xy= 22.5

You might be interested in

The equation y=5+0.5x represents the cost of getting a car wash and using the vacuum for x minutes. What is the y-intercept?

adell [148]

5 is the y intercept.

-Always the number without the variable.

5 0

2 years ago

Does the function model exponential growth or decay? f(t)=1/4⋅4^t

yarga [219]

Answer:

This is an exponential decay

Because the base of the exponent is 1/4.4 which is less than 1

Step-by-step explanation:

What is exponential growth?

when the base of our exponential is bigger than 1, which means those numbers get bigger.

What is exponential decay?

when the base of our exponential is in between 1 and 0 and those numbers get smaller.

6 0

3 years ago

The sector COB is cut from the circle with center O. The ratio of the area of the sector removed from the whole circle to the ar

mafiozo [28]

Answer:

$Ratio = \frac{R^2 - r^2 }{ r^2}$

Step-by-step explanation:

Given

See attachment for circles

Required

Ratio of the outer sector to inner sector

The area of a sector is:

$Area = \frac{\theta}{360}\pi r^2$

For the inner circle

$r \to radius$

The sector of the inner circle has the following area

$A_1 = \frac{\theta}{360}\pi r^2$

For the whole circle

$R \to Radius$

The sector of the outer sector has the following area

$A_2 = \frac{\theta}{360}\pi (R^2 - r^2)$

So, the ratio of the outer sector to the inner sector is:

$Ratio = A_2 : A_1$

$Ratio = \frac{\theta}{360}\pi (R^2 - r^2) : \frac{\theta}{360}\pi r^2$

Cancel out common factor

$Ratio = R^2 - r^2 : r^2$

Express as fraction

$Ratio = \frac{R^2 - r^2 }{ r^2}$

6 0

2 years ago

What does this mean? evaluate the expression for y=54y+10

salantis [7]

We have the expression:

$4y+10$

And want to evaluate in y=5, this means we have to replace y in the expression for 5 and calculate the value of the expression, so:

$\begin{gathered} 4y+10,y=5 \\ 4\cdot5+10 \\ 20+10 \\ 30 \end{gathered}$

The expression is 30 when y=5.

7 0

1 year ago

A generator can run for 11 hours on 3 gallons of gasoline. How many hours can the generator run on 9 gallons of gasoline?

Margarita [4]

Answer:

11 / 3 hours

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers