Answer:
0.91 because 8/10 as a decimal is 0.8
Step-by-step explanation:
so 0.91 is bigger than 0.8
Answer:
A
Step-by-step explanation:
The domain of a function is the span of x-values covered by the graph.
From the graph, we can see that it stretches from x=-7 to x=2.
However, note that at x=-7, the dot is closed (shaded in). In other words, x=-7 <em>is</em> in our domain.
On the other hand, at x=2, the dot is not shaded. So, x=2 is <em>not</em> included in our domain.
Therefore, our domain all are numbers between -7 and 2 including -7 (and not including 2).
As a compound inequality, this is:
So, our answer is A.
Also note that we use x instead of p(x) because the domain relates to the x-variable. If we were to instead find the range, then we would use p(x).
Answer:
One possible confound for the experiment is the attitude of the research assistants.
Step-by-step explanation:
A confounder simply means a variable that has impact in influencing both the dependent variable and independent variable, causing a spurious association.
So, we can conclude that the attitudes of the research assistants have positive and negative impacts in determining the reactions of both participants in the experiment.
The rudeness of a research assistant will negatively impact the response of the participant allocated to him/her.
The calmness of the other research assistant will positively impact the response of the participant allocated to him/her.
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To solve this problem, let us first assign variables. Let
us say that:
A = runner
B = cyclist
d = distance
v = velocity
time = t
The time in which the cyclist overtakes the runner is the
time wherein the distance of the two is the same, that is:
dA = dB
We know that the formula for calculating distance is:
d = v t
therefore,
vA tA = vB tB
Further, we know that tA = tB + 2, therefore:
vA (tB + 2) = vB tB
4 (tB + 2) = 14 tB
4 tB + 8 = 14 tB
10 tB = 8
tB = 0.8 hours = 48 min
Therefore the cyclist overtakes the runner after 0.8
hours or 48 minutes.
