All categories

3 years ago

Y is inversely proportional to cube root of x. what x= 1/8y=2 find the constant of proportional

Mathematics

1 answer:

Alexxx [7]3 years ago

8 0

Answer:

1/2

Step-by-step explanation:

$y = \sqrt[3]{\frac{1}{8x}}\\\\=\sqrt[3]{\frac{1}{2*2*2*x}}\\\\=\frac{1}{2}\sqrt[3]{\frac{1}{x}}$

Constant of proportional= 1/2

You might be interested in

Heather has divided $5400 between two investments, one paying 8%, the other paying 5%. if the return on her investment is $

Phantasy [73]

Answer:

$2500 at 8%.

$2900 st 5%.

Step-by-step explanation:

Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.

We have been given that Heather has divided $5400 between two investments. We can represent this information as:

$x+y=5400...(1)$

The return on her investment is $345.

Earnings from the investment at 8% will be 8% of x.

Earnings from the investment at 5% will be 5% of y.

$(\frac{8}{100})x+(\frac{5}{100})y=345...(2)$

$0.08x+0.05y=345...(2)$

We will use substitution method to solve our system of equations. From equation (1) we will get,

$x=5400-y$

Substituting this value in equation (2) we will get,

$0.08(5400-y)+0.05y=345$

$432-0.08y+0.05y=345$

$-0.08y+0.05y=345-432$

$-0.03y=-87$

$\frac{-0.03y}{-0.03}=\frac{-87}{-0.03}$

$y=2900$

Therefore, Heather has invested an amount of $2900 at 5%.

Let us substitute y=2900 in equation (1) to solve for x.

$x+2900=5400$

$x+2900-2900=5400-2900$

$x=2500$

Therefore, Heather has invested an amount of $2500 at 8%.

6 0

3 years ago

In a recipe for pizza sauce, the ratio of cans of tomatoes to teaspoons of oregano is 1:6. How many teaspoons of oregano do you

irina1246 [14]

Answer:

48 teaspoons of Oregano

Step-by-step explanation:

Ratio is given as:

Cans of tomatoes : Teaspoons of Oregano

1 : 6

Hence:

1 can of tomatoes = 6 teaspoons of Oregano

8 can of tomatoes = x teaspoons

Cross Multiply

x = 8 × 6 teaspoons

x = 48 teaspoons of Oregano

3 0

3 years ago

Help please! I do not exactly understand how to do this. Thanks!

Radda [10]

X and Y are supplementary, that means X + Y = 180.

But we have, X = Y +24, then

X + Y = Y + 24 + Y = 2Y + 24 = 180

Then

2Y = 156

Y = 78

Then X = 78 + 24 = 102.

6 0

3 years ago

Consider the equation below. (if an answer does not exist, enter dne.) f(x) = 5 cos2(x) − 10 sin(x), 0 ≤ x ≤ 2π

jolli1 [7]

The given equation is a wave function. When plotted, the graph is shown in the attached picture. However, the unit is in degrees instead of radians. A unit of π is equivalent to 180°. This plot could determine one variable if the other is given.

4 0

3 years ago

Find the area of the triangle be sure to include the correct unit in your answer

Vlad1618 [11]

Answer:

120 cm squared

Step-by-step explanation:

$Area \:of \:the\: triangle \\ = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 10 \times 24 \\ \\ = 12 \times 10 \\ \\ = 120 \: {cm}^{2}$

7 0

3 years ago

Read 2 more answers

Y is inversely proportional to cube root of x. what x= 1/8y=2 find the constant of proportional​

Y is inversely proportional to cube root of x. what x= 1/8y=2 find the constant of proportional