Answer:
50
Step-by-step clarification:
The equation that represents the total cost is in the format of a linear equation y = mx + c
Here, m signifies the slope of the line
c indicates the y-intercept, showing where the line intersects the y-axis
When the equation y = 150x + 50 is plotted, it will form a linear graph where the y-intercept corresponds to 50, as observed in the standard form of a linear equation.
Answer:
Option (B)
Step-by-step explanation:
The given question is incomplete; please refer to the attached document for the full details.
In the attached graph,
The parent function is defined as an absolute value function,
f(x) = |x|
When this graph is moved four units to the left, the translation rule becomes,
f(x) → f(x + 4)
Consequently, the new function following this translation is,
g(x) = f(x + 4) = |x + 4|
Now, with the graph shifted down by two units, the translated function becomes,
h(x) = g(x) - 2
h(x) = |x + 4| - 2
When reformulated as an equation, the graph can be represented by
⇒ y = |x + 4| - 2
Thus, Option (B) is the correct answer.
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!
Let
s--------> denote the cube's side length
We know that
the volume of a cube is calculated as

if the side length s measures 
then

and thus, the volume is defined as


This leads us to conclude
the correct option is
D. A cube with side lengths of 2 feet has a volume of 8 cubic feet.
To find the answer, subtract the total percentage of 24.65% and $48 from 1986, resulting in the final value.