3(-5) + 4(2)
= -15 + 8
= -7
Answer:
The unit vector u is (-5/√29) i - (2/√29) j
Step-by-step explanation:
* Lets revise the meaning of unit vector
- The unit vector is the vector ÷ the magnitude of the vector
- If the vector w = xi + yj
- Its magnitude IwI = √(x² + y²) ⇒ the length of the vector w
- The unit vector u in the direction of w is u = w/IwI
- The unit vector u = (xi + yj)/√(x² + y²)
- The unit vector u = [x/√(x² + y²)] i + [y/√(x² + y²)] j
* Now lets solve the problem
∵ v = -5i - 2j
∴ IvI = √[(-5)² +(-2)²] = √[25 + 4] = √29
- The unit vector u = v/IvI
∴ u = (-5i - 2j)/√29 ⇒ spilt the terms
∴ u = (-5/√29) i - (2/√29) j
* The unit vector u is (-5/√29) i - (2/√29) j
Answer:
V= volume of cone A=Ah A= πr2
A= area of base 3
H= height
V= (3.1416)(16)(15) 3.1416x16x15= 753.9
3
V= 753.9 753.9÷3= 251.3 cu. in
3
Volume of the cone is 251.3 cu. in
I hope this helps you. Good luck!
All you have to do is plug in the given x values. your first equations would read:
f(-3) = 2^(-3)
f(-2) = 2^(-2)
f(-1) = 2^(-1)
these can be solved by moving decimal points or entering them into a calculator. regardless of the method, your answers are:
f(-3) = 0.002
f(-2) = 0.02
f(-1) = 0.2
so just repeat that process to fill in the rest of your table. to graph it, you'll use them as normal (x, y) points:
(-3, 0.002)
(-2, 0.02)
(-1, 0.2)
the graph might be a little difficult, working with such small values, but precision isn't totally important--0.002 will be super close to 0, 0.02 will be slightly further, 0.2 will be slightly further. the smaller values don't matter as much graphically and you'll recognize the graph of a growing exponential as you graph more of the table.
Answer:
Yes, 64 divided by 4 is 16.
Step-by-step explanation:
64/4 = 16.
16*2 = 32
32+32 = 64
