She only asked the students in her ballet class, which is probably biased toward ballet. She should survey everyone in The Dance Academy. That way, the answers won't be biased.
Answer:
Step-by-step explanation:
Differentiability at a point implies no sudden changes in the slopes from one side to the other; that is, the derivative must have the same value.
Differentiating x^2 - 6 and 6 - x^2, we get 2x = -2x, whose only solution is zero (0). The two halves of the given function have the same slope (0) at x = 0.
Answer: D) 154 degrees clockwise about point A
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Explanation:
We have n = 7 sides here, so this is a heptagon.
Assuming this is a regular heptagon, then we can say that 360/n = 360/7 = 51.4285714285714 is the angle in which we can rotate the figure to have it map onto itself.
What does that mean? It means that if we were to apply this rotation, then the "before" and "after" (aka preimage and image) will be identical.
The angle value 51.4285714285714 rounds to 51, and unfortunately none of the answer choices come closer to this.
But we can scale things up. Instead of doing 1 rotation, we can do 3 rotations of 51.4285714285714 degrees each to get 3*51.4285714285714 = 154.285714285714
The value then rounds to 154 degrees. This can happen clockwise or counterclockwise.
I found the missing graphs but I only attached the correct graph that answers the above question.
I also made notes in the image. Pls. see attachment.
Answer:
The correct option is C.
Step-by-step explanation:
The time in first figure is 3:00 pm and the time in second figure is 4:30 pm.
So total time taken by car is
It means total time taken by car is 1.5 hour.
The distance in first figure is 50 miles and the speed in second figure is 155 miles.
So total distance travelled by car is
It means total distance travelled by car is 105 miles.
The formula of speed is
Therefore option B represents the solution. Option B is incorrect.
Multiply both sides by 1.5 hours.
Therefore option D represents the solution. Option D is incorrect.
Divide both sides by speed.
Therefore option A represents the solution. Option A is incorrect.
Option C can not represent the solution, therefore option C is correct.