Step-by-step answer:
It is a glide reflection.
The order of sliding and reflection is not important if the gliding is parallel to the line of reflection, which is the case here.
So the equivalent is translate five units down, and then reflect over the y-axis.
Note in general that rotations will not be equivalent to an odd number of reflections. So looking for an equivalent, look for reflection.
Answer:
B. F:S = 17 to 19; S:F = 19 to 17
Step-by-step explanation:
Put the corresponding numbers in the corresponding parts of the ratio you want to write:
freshmen to sophomores (F:S)
17 to 19
___
sophomores to freshmen (S:F)
19 to 17
These pairs of numbers match choice B.
Let the two numbers are x and y
Let larger number = x
and smaller number = y
it means
x-y = 0.77
Now it says larger number is increased 5 times
So it now becomes 5x
So second equation becomes
5x -y =77
Now we have to solve these two equations
x-y = 0.77 and 5x-y = 77
multiply first equation by -1 and then add both equations
-x+y = -0.77
Now on adding we get
-x+5x +y -y = 77-0.77
4x = 76.23
Divide both sides by 4
x=19.0575
We get the larger number , now subtract 0.77 from this , we will get the smaller number
y=19.0575-0.77=18.2875
y=18.2875
Hence the larger number = 19.0575
Smaller number = 18.2875
Answer:
nonlinear increasing
Step-by-step explanation:
Looking at the graph closely we can see that the heart rate increases from 0 to 6 min then became steady from 6 to 25 min then finally decreases from 25 to 30 min. Therefore the correct answer is:
“The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes.”
In real life cardiac exercises, we can interpret that the period from 0 to 6 min is the period where the person is still warming up thus leading to an increase in heart rate. At 6 min, the person is fully warmed up hence reaching a stable heart rate. Then at 25 min, the person starts cooling down which means that the exercise is ending soon.
