Answer:
C. 4x^3 - 14x^2y + 14xy^2 - 4y^3
Step-by-step explanation:
Given:
Multiplication of 2x^2 – 3xy + y^2 and 2x – 4y
Multiplication refers to the product
(2x^2 – 3xy + y^2) (2x – 4y)
Expand the brackets
= 4x^3 - 8x^2y - 6x^2y + 12xy^2 + 2xy^2 - 4y^3
Combine like terms
= 4x^3 - 14x^2y + 14xy^2 - 4y^3
The result is
C. 4x^3 - 14x^2y + 14xy^2 - 4y^3
The profit produced by combining sales of gold label and black label equals the total of their individual profits. From the table
you find the gold label's profit
and similarly from another table
find the black label's profit
. Adding these yields
. Thus, option 5 is the correct choice.
Response:
Detailed explanation:
Hello!
Stratified sampling involves the categorization of the population into subgroups based on pre-established criteria for the study. These subgroups consist of homogeneous units concerning the relevant characteristics. In this instance, individuals in the groups will represent only one of the two potential opinions (support or not support) and not both.
The researcher determines the sample size desired, considering several factors such as finances, material availability, and accessibility to experimental subjects (for instance, if they are endangered species, larger sample sizes may not be feasible).
One might conduct proportionate stratified sampling by selecting a proportion of respondents who answered "yes" along with those who answered "no."
In this sampling method, taking a specific proportion from each subgroup allows for a more straightforward extrapolation of results to the overall populations. For example, if you needed a sample size of n = 20, each stratum would ideally contain half, meaning 10 from the “yes” group and 10 from the “no” group.
I hope this is helpful!
Response:
I believe the answer might be either the second or the fourth option.
Apologies if this isn't accurate.
Detailed explanation:
Answer:
The main aspects are
50ft³ = volume
0.5ft³/min = filling rate
Time= 100 minutes
Step-by-step breakdown:
Chiang is in the process of filling a 50ft container with water at a speed of 0.5 ft/min.
50ft³ = volume
0.5ft³/min = flow rate
It’s important to note that we still need to determine how long it will take to fill the 50 ft³ container.
Time = volume / rate
Time = 50 ft³ / 0.5 ft³/min
Time = 50 / 0.5 min
Time = 100 min
The main aspects are
50ft³ = volume
0.5ft³/min = filling rate
Time= 100 minutes
