TutorMe homepage
Subjects
PRICING
COURSES
Start Free Trial
Cemre G.
MSc Student
Tutor Satisfaction Guarantee
Pre-Calculus
TutorMe
Question:

Factor the following equation $$5x^2+11^x+2$$

Cemre G.

$$5x + 11 + 2$$ $$+5$$-------> $$+2$$ $$+1$$ -------> $$+1$$ Factor out 5 and 2 as (+5,+1) and (+2,+1). Make sure your signs are consistent. Then multiply the elements in the same row and sum those multiplications $$5*2 + 1*1 = 11$$ It gives the middle coefficient which is 11. Then answer is; $$= (5x+2)(x+1)$$ Note: You could factor those out as (-5,-1) and (-2,-1). Then when you multiply them minuses will turn to plusses. $$(-5*-2)+(-1*-1) = + 10 + 1 = + 11$$

Artificial Intelligence
TutorMe
Question:

What is the data structure of the frontier list ( list of successor nodes ) in breadth first search algorithm?

Cemre G.

A "first in first out" queue

Physics
TutorMe
Question:

An object of mass m and object of mass of 3m are released from the same height. Which one will have a higher velocity when they hit the ground? Ignore air friction and other dissipative effects.

Cemre G.

From conservation of energy, initial gravitational potential energy will be equal to the kinetic energy when they hit the ground since dissipative effects are not present. Thus; $$mgh = 1/2*mv^2$$ m's cancel out and we multiply each side by two to find velocity which is; $$v = \sqrt{2gh}$$ It is clear that $$m$$'s will cancel out. As a result, it can be concluded that velocity is independent of the mass of the object, thus two of the object will have the same velocity when they hit the ground, regardless of their masses.

Send a message explaining your
needs and Cemre will reply soon.
Contact Cemre
Ready now? Request a lesson.
Start Session
FAQs
What is a lesson?
A lesson is virtual lesson space on our platform where you and a tutor can communicate. You'll have the option to communicate using video/audio as well as text chat. You can also upload documents, edit papers in real time and use our cutting-edge virtual whiteboard.
How do I begin a lesson?
If the tutor is currently online, you can click the "Start Session" button above. If they are offline, you can always send them a message to schedule a lesson.
Who are TutorMe tutors?
Many of our tutors are current college students or recent graduates of top-tier universities like MIT, Harvard and USC. TutorMe has thousands of top-quality tutors available to work with you.