Answer:
Step-by-step explanation:
The given logarithmic expression is:
This is the same as:
We now apply the product rule to get:
We now apply the power rule to get;
What kind of small objects composes much of the universe?
1 answer:
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<span>Given the graph that shows the average number of the heartbeats for an active adult brown bear and hibernating brown bear
Part a</span>.
What does the point (2, 120) represent on the graph?
From the graph the x axis represent the time in minutes while the y axis represent the number of heartbeats.
Therefore, point (2, 120) means that it takes an active adult brown bear an average of 2 minutes to have 120 heartbeat.
Part b.
What does the ratio of the y-coordinate to the x-coordinate for each pair of points on the graph represent?
From the graph the x axis represent the time in minutes while the y axis represent the number of heartbeats.
Therefore, the ratio of the y-coordinate to the x-coordinate for each pair of points on the graph represents the average number of heatbeats of an active brown dear and a hibernating brown dear per minute.
Part c.
Use the graph to find the bear’s average heart rate when it is active and when it is hibernating.
The bear's average heart rate is given by the ratio of the y-coordinate to the x-coordinate for each pair of points on the graph.
This can be obtained by taking any two points from the graph and taking the slope.
Recall that the slope of a line is given by
For the average hearbeat of an active brown bear, using the points (1.5, 90) and (2, 120), we calculate the average heat rate as follows:
Average heart rate =
Also, for the average hearbeat of a hibernating brown bear, using the points (1.5, 18) and (2, 24), we calculate the average heat rate as follows:
Average heart rate =
Part a</span>.
What does the point (2, 120) represent on the graph?
From the graph the x axis represent the time in minutes while the y axis represent the number of heartbeats.
Therefore, point (2, 120) means that it takes an active adult brown bear an average of 2 minutes to have 120 heartbeat.
Part b.
What does the ratio of the y-coordinate to the x-coordinate for each pair of points on the graph represent?
From the graph the x axis represent the time in minutes while the y axis represent the number of heartbeats.
Therefore, the ratio of the y-coordinate to the x-coordinate for each pair of points on the graph represents the average number of heatbeats of an active brown dear and a hibernating brown dear per minute.
Part c.
Use the graph to find the bear’s average heart rate when it is active and when it is hibernating.
The bear's average heart rate is given by the ratio of the y-coordinate to the x-coordinate for each pair of points on the graph.
This can be obtained by taking any two points from the graph and taking the slope.
Recall that the slope of a line is given by
For the average hearbeat of an active brown bear, using the points (1.5, 90) and (2, 120), we calculate the average heat rate as follows:
Average heart rate =
Also, for the average hearbeat of a hibernating brown bear, using the points (1.5, 18) and (2, 24), we calculate the average heat rate as follows:
Average heart rate =
Answer:
The solution of the equation is
.
Step-by-step explanation:
Let , we see that number of equation and variables are both the same and can be solved by algebraic means.
1) Given
2) Commutative property
3) Compatibility with addition/Associative property
4) Additive inverse/Modulative property/Definition of substraction/Result
The solution of the equation is
.