Answer:
Problem 1) frequency: 160 heartbeats per minute, period= 0.00625 minutes (or 0.375 seconds)
Problem 2) Runner B has the smallest period
Problem 3) The sound propagates faster via a solid than via air, then the sound of the train will arrive faster via the rails.
Step-by-step explanation:
The frequency of the football player is 160 heartbeats per minute.
The period is (using the equation you showed above):
second problem:
Runner A does 200 loops in 60 minutes so his frequency is:
loops per minute
then the period is: 0.3 minutes (does one loop in 0.3 minutes)
the other runner does 200 loops in 65 minutes, so his frequency is:
loops per minute
then the period is:
Therefore runner B has the smaller period
Complete question :
Sam knows that his MP3 player has 40% of its battery life left and that the battery
charges by an additional 12 percentage points every 15 minutes. What percent of
the mp3's battery will be charged when Sam and his family leave? If mp3 was plugged in an hour before his family plan to leave.
Answer:
88%
Step-by-step explanation:
Time before leaving = 1hour
Current percentage = 40%
Charge rate = 12% every 15 minutes
Therefore,
Charge rate per minute :
12% / 15 = 0.8% per minute
Charge recieved after one hour (60 minutes) :
0.8% * 60
= 48%
Therefore, total charge after just before leaving is:
Current percentage + percentage received
40% + 48%
= 88%
A graph that uses bars of various heights to represent the frequencies is a <u>Histogram</u>
A histogram is an approximate representation of the distribution of numerical data. The term was first introduced by Karl Pearson. To construct a histogram, the first step is to "bin" (or "bucket") the range of values—that is, divide the entire range of values into a series of intervals—and then count how many values fall into each interval.
Therefore, a graph that uses bars of various heights to represent the frequencies is a <u>Histogram</u>
Answer:
The exponential equation is;
F = 30,000(1.01)^30
The value is;
$40,435.50
Step-by-step explanation:
Here, we are to write an exponential equation
Exponential equations generally take the form;
F = I(1 + r)^t
where F is the future value
I is the initial value
r is the growth percentage
t is the time
with respect to the question;
F = ?
I = 3,000
t = 30
r = 10% = 10/100 = 0.1
Writing the equation, we have
F = 30,000(1.+ 0.1)^30
F = 30,000(1.01)^30
F = $40,435.50
First, plug in x=y-8 to y=2x+3
Next, it would be y=2(y-8)+3
Then, you need to distribute: y= 2y-16+3
After that, move 2y to the other side: -y= -13 (notice I also did -16+3)
Finally, divide negatives into both sides: y=13
Now to find x just plug in 13 to either of the equations: 13=2x+3
Then solve: x=5
So the FINAL answer is: (5,13)
Hope this helps!!!!!!!
