Answer:
She consumes 30 blue ray disk and 60 DVD respectively.
Step-by-step explanation:
Consider the provided information.
Calculate marginal utility of good
Differentiate with respect of x and y.
Her consumption of Blu-ray disks (X) with a price of $40 and Y is her consumption of DVDs with a price of $10.
The ratio of marginal utility of good x to y is equal to the price ratio:
Substitute the respective values.
She has $1800 with which to spend on the two goods.
Her consumption of Blu-ray disks (X) with a price of $40 and Y is her consumption of DVDs with a price of $10. She has $1800 with which to spend on the two goods.
Therefore, 
Substitute the value of y in above equation.
Thus, 
She consumes 30 blue ray disk and 60 DVD respectively.
Answer: 13
Step-by-step explanation:
represent the first integer as x
Since they are consecutive, you can represent the others as x+1, x+2, and x+3.
Write the equation
x + (x +1) + (x+2) + (x+3) = 58
Combine like terms
4x + 6 = 58
Solve for x
4x= 52
x=13
The question is incomplete. The complete question is :
Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.
Which study appears to look for an association between two variables without actively manipulating either one. What are those variables ?
Solution :
The second study in the context is involved in asking for a random sample of the students at an university to provide a report the average hours of sleep that everybody get each night and also the grade point of their college appears for association between these two variables without actively changing either of one.
These variables are the grade point average of the students and the numbers of hours of sleep.
Answer:
y=3x+1
Step-by-step explanation:
Your equation should start off as y=mx+b. You must solve for m and b, although they already give you m and b. m is the slope, which here is 3 and your y is 1. Making your equation, y=3x+1.
Answer:
C) Both reflection and translation
Step-by-step explanation:
An isometry of the plane is a linear transformation which preserves length. Isometrics includes rotation, translation , reflection ,glides and the identity map.
A geometry transformation is either rigid or non-rigid
The another name for a rigid transformation is 'isometry'.
The dilation is not isometry
