Answer:
i think it 32,768
Step-by-step explanation:
2+2=4+2=6-2=4*2=8 and 8*8*8*8=32,768
Answer:
67,365,043,200
Step-by-step explanation:
A coin toss has 2 possible outcomes. A coin tossed 3 times has 2³ = 8 possible permutations.
A standard die has 6 possible outcomes. A die rolled 4 times has 6⁴ = 1296 possible permutations.
The number of ways 4 cards can be chosen from a deck of 52 without replacements is 52×51×50×49 = 6,497,400.
The total number of possible outcomes is:
8 × 1296 × 6,497,400 = 67,365,043,200
Given:
DE contains the points D(1, -2) and E(3, 4).
FG contains the points F(-1, 2) and G(4, 0).
To find:
Is DE perpendicular to FG.
Solution:
Slope of DE:
Here 
m = 3
Slope of FG:
Here 
<em>Two lines are perpendicular if product their slopes are -1.</em>
Slope of DE × Slope of FG
≠ -1
The solution is no, because the product of the slopes is not -1.
Answer:
Step-by-step explanation:
3D space (x, y, z) = (10, 45, 57)
I will use x² + y² = (2D Hyp)² and (2D Hyp)² + z² = (3D Hyp)²
which is just x² + y² + z² = (3D Hyp)²
10² + 45² + 57² = (3D Hyp)²
100 + 2025 + 3249 = 5374 = (3D Hyp)² the destance from the origin
= 73.31 the destance from the origin
Answer:
(-1.5,-16)
(1,4)
(2.5,-3)
Step-by-step explanation:
Over the interval (-3,0], the local minimum is (-1.5,-16).
Over the interval [0,3], the local maximum is (1,4).
Over the interval [0,57 , the local minimum is (2.5,-3).
