answer:
N(t)=2×
17
15
step by step explain:
before lesson (t=0), she knows 2 words.
after a week (t=1), she knows
2×(1+70%)=3.4 words
after one more week (t=2), she knows
3.4×(1+70%)=5.78 words
one more week later (t=3), she knows
5.78×(1+70%)=9.826 words
and so on ...
from pattern shown above, we know that she knows
2× words after t weeks
so N(t)=2×
after 4 weeks (t=4), she knows 2×
=16.7042≈17 words
for learning 5000 words, she need:
2×=5000
=2500
t log(1.7)=log(2500)
t=
=14.7448727
≈15 (round up)
Answer:
B; 3/4
Step-by-step explanation:
slope = rise / run
the line goes up, so it is a positive slope. it goes up 3 points, and goes right 4 points.
4b = 5b - 3a # Starting equation, solve for 'a'
-b = -3a # Subtract 5b from both sides
= a # Divide both sides by -3.
a = # Use the reflexive property of equality
Hope this answers your question!
Answer:
(4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)
Step-by-step explanation:
Given the rectangular coordinate
(2√3,-2)
x = 2√3
y = 2
For polar coordinate;
x =r cos theta
y = rsin theta
r = √x²+y²
r = √(2√3)²+(-2)²
r = √4(3) + 4
r = √12+4
r = 4
theta = arctan(y/x)
theta = arctan(-2/2√3)
theta = arctan(-1/√3)
theta = -30
theta = 180 - 30
theta = 150degrees
x = 4cos 150
y = 4sin150
The polar coordinate is (4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)
The polar coordinates of the point are
