X varies directly as the cube root of y .x=6when y=8.Find the value of x when y=64.

Answers

Answer 1
Answer:

Answer:

The value of x is 12.

Step-by-step explanation:

Given that x is directly proportional to y so the expression will be x=k(³y)where k is the constant. First, you have to find the value of k :

x = k \:  (\sqrt[3]{y} )

let \: x = 6,y = 8

6 = k \:  (\sqrt[3]{8} )

6 = k(2)

k = 3

Next, you have to find the value of x, by substituting y = 64 into the expression :

x = 3 \: ( \sqrt[3]{y} )

x = 3( \sqrt[3]{64} )

x = 3(4)

x = 12


Related Questions

Find the least number of 6 digits which is a perfect square.?
How many significant digits are in 80,000
27 students is 90% of how many students
N is the set of real numbers that are factors of 12{1, 2, 3, 4, 6} {1, 2, 3, 4, 6, 12} {1, 2, 3, 4, 5, 6, 8, 12} {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
The slope of a speed-time graph indicatesa. acceleration. b. speed. c. direction. d. velocity.

What is the difference of 85.23 and 2.675?

Answers

Answer: 82.555

Step-by-step explanation: I used a calculator

List the first twenty counting numbers in base seven? (only digits 0 thru 6 are used in base 7)

Answers

The correct answer is:


1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 14, 15, 16, 20, 21, 22, 23, 24, 25, 26.


Explanation:


The base 7 number system has digits 0 through 6.


When we start counting, we start with 1. In base 7, we would be able to go from 1 to 6, just as in base 10. However, in base 7, after we reach 6, we would hit 2 digits; instead of 7, the next number would be 10.


We would then count from 10 to 16. After we reach 16, instead of 17, we go to 20 and count from 20 to 26.

So the question ask to list the first twenty counting numbers in base seven and the best answer would be 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 14, 15, 16 , 20 ,21, 22, 23, 24, 25, 26, 30, 31, 32, 33, 34, 35, 36, 40, 41. I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification about the said question 

The times it took for 35 loggerhead sea turtle eggs to hatch in a simple random sample are normally distributed, with a mean of 50 days and a standard deviation of 2 days. Assuming a 95% confidence level, what is the margin of error for the population mean? A) 0.06. B) 0.11. C) 0.34. D) 0.66

Answers

The margin of error for the population mean is C) 0.34. Hope that helps.

Answer:from what I did it was 0.66

Step-by-step explanation:

How do you factor 6x^2+14x+4

Answers

(3x+1) (2x+4)

When the first number has multiple factors (like 6) it often times seems to be the factors that are closest together (3×2 instead of 6×1) So I usually use that as a starting point and play with the numbers until you find your answer. The more you do it, the easier it gets. And remember to always check your answer!

The figure shows three parallelograms: ABCD, A′B′C′D′, and A″B″C″D″.Polygon ABCD is________ to create parallelogram A′B′C′D′.
-reflected across the y-axis
-rotated 90 degrees clockwise about the origin
-reflected across the x-axis
-rotated 270 degree clockwise about the origin

Polygon ABCD is________ to create parallelogram A″B″C″D″.
-reflected across the y-axis
-rotated 90 degrees clockwise about the origin
-reflected across the x-axis
-rotated 270 degree clockwise about the origin

Answers

Polygon ABCD is -rotated270 degrees clockwise about the origin to create parallelogram A′B′C′D′.

Polygon ABCD is rotated 90 degrees clockwiseabout the origin to create parallelogram A″B″C″D″.

Given that

The figure shows three parallelograms: ABCD, A′B′C′D′, and A″B″C″D″.

According to the question

1. Polygon ABCD is________ to create parallelogram A′B′C′D′.

The quadrilateral ABCD draws the counterclockwise rotation of 270 degrees centered at the origin.

Suppose point A is attached to the arrow in red from the center (0,0). The arrow is now moved 270 counterclockwise. the new position of A marked A'. A' will also be "on" the axis as A was or is "on" the axis.  

Rotation of 270 degrees on Coordinate Axes

Centered at origin

(x, y) → (y, -x )

(2, 3) → (3, -2)

Polygon ABCD is -rotated270 degrees clockwise about the origin to create parallelogram A′B′C′D′.

2. Polygon ABCD is________ to create parallelogram A″B″C″D″.

Rotation of 90 degrees on Coordinate Axes

(3, -2) -> (2, 3)

Polygon ABCD is rotated 90 degrees clockwiseabout the origin to create parallelogram A″B″C″D″.

To know more about Rotation click the link given below.

brainly.com/question/3511113

Parallelogram ABCD is reflected across the x-axis to create parallelogram A'B'C'D'. Parallelogram A'B'C'D' maintains the same distance from the x-axis for all points. Parallelogram ABCD has positive x-values and positive y-values, and parallelogram A'B'C'D' has positive x-values and negative y-values, which also define this transition.

Parallelogram ABCD has positive x-values and positive y-values. Parallelogram A''B''C''D'' has negative x-values and positive y-values. If we look at point B in both parallelograms, point B in ABCD is located at point (2,3), and point B in A''B''C''D'' is located at point (-3, 2). This means that parallelogram A'B'C'D' was rotated about the origin 270 degrees clockwise, or 90 degrees counter-clockwise, due to the flipping of x and y values and the change in the x-value's sign.

Write a congruence statement for the pair of triangles. Name the postulate or theorem that justifies your statement.

Answers

From the triangles, I think the congruence statement would be that of the ASA theorem. Triangle AWC is congruent to triangle RWC by virtue of the Angle-Side-Angle theorem. Hope this answers the question. Have a nice day.