log_10 (600) is between 2 and 3
2,77815
Using the dot product:
For any vector x, we have
||x|| = √(x • x)
This means that
||w|| = √(w • w)
… = √((u + z) • (u + z))
… = √((u • u) + (u • z) + (z • u) + (z • z))
… = √(||u||² + 2 (u • z) + ||z||²)
We have
u = ⟨2, 12⟩ ⇒ ||u|| = √(2² + 12²) = 2√37
z = ⟨-7, 5⟩ ⇒ ||z|| = √((-7)² + 5²) = √74
u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46
and so
||w|| = √((2√37)² + 2•46 + (√74)²)
… = √(4•37 + 2•46 + 74)
… = √314 ≈ 17.720
Alternatively, without mentioning the dot product,
w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩
and so
||w|| = √((-5)² + 17²) = √314 ≈ 17.720
<u>Answer:</u>
66 pictures
<u>Step-by-step explanation:</u>
180 ÷ 3 = 60 60 x 2 = 120
120 = 2/3. He took <em><u>120 pictures on the first day </u></em><em><u>of his vacation.</u></em>
120 ÷ 4 = 30 30 x 1 = 30
30 = 1/4. <em><u>He took </u></em><em><u>30 pictures of landscapes</u></em>
120 ÷ 10 = 12 12 x 3 = 36
0.3 = 36. <em><u>He took </u></em><em><u>36 pictures of people.</u></em>
36 + 30 = 66 pictures.
<em><u>He took 66 pictures of landscapes and people.</u></em>
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Answer:
D. $1.95
F. $3
Step-by-step explanation:
dimes: x + 2
quarters: x
x + 2 + x = 12
2x + 2 = 12
2x = 10
x = 5
dimes: x + 2 = 5 + 2 = 7
quarters: x = 5
Total value: (7 * .10) + (5 * .25) = $1.95
_____
dimes: x
quarters: 2x
x + 2x = 15
3x = 15
x = 5
dimes: x = 5
quarters: 2x = 2(5) = 10
Total value: (5 * .10) + (10 * .25) = $3
