The answer:
first of all, we should know that the expression of a vector V (a, b) can be written as follow:
V = r (Vx i + Vyj), where r is the length of the vector, it is r = sqrt(V²x + V²y)
Vx is the component lying on the x-axis and Vy on the y-axis
<span>v ⃗ lies in Quadrant II, means Vx is less than 0 (negative)
</span>
so Vx= -r sin30° and Vy= rcos30°
r= <span>‖v ⃗ ‖=4√3
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so we have v = - 4√3sin30° i + 4√3 cos30° j
the components are
v(- 4√3sin30°, 4√3 cos30°) = (-2√3, 4√3 cos30°)
Answer:
$5,552.26
Step-by-step explanation:
First, set up an equation using exponential decay
Let y represent the cost and let x represent the number of years
y = 15,000(0.78)^x
Plug in 4 as x, and simplify:
y = 15,000(0.78)^4
y = 5,552.26
So, in 4 years, the car will be $5,552.26
Answer: 44) 25 45) 4 46) 27
<u>Step-by-step explanation:</u>
Filling in the Venn Diagram (from left to right, including outside of circles):
S only = 14
S ∩ F = 1
F only = 26
S ∩ B = 7
S ∩ B ∩ F = 4 --> answer to #45
F ∩ B = 14
B only = 10
<u>(S ∪ F ∪ B)' = 25</u> --> answer to #44
Total = 100
46) F total - (F ∩ B)
= 45 - 18
= 27
Answer:
1. 1 yard
2. 15,840 feet
3. 72 inches
4. 15 feet
5. 2 miles
6. 4 feet
7. 66 inches
8. 4 feet
9. 2,280 feet
10. Donald swam further since Donna only swam 300 feet.
We need to calculate -3+(-1), and then |....| gives positive number.<span>
|-3+(-1)|= | - 4| = 4</span>