(f∘g)(x) = f(g(x)) = f(x +2)
= 2(x +2) -1
= 2x +3 . . . . . selection D
By definition, the arc length is given by:
arc = R * theta * ((2 * pi) / 360)
Where,
theta: angle in degrees
R: radio
We have then:
(Arc) QPT if <QZT = 120:
theta = 360-120 = 240 degrees
R = 13.5 units
Substituting values we have:
(Arc) QPT = R * theta * ((2 * pi) / 360)
(Arc) QPT = (13.5) * (240) * ((2 * pi) / 360)
(Arc) QPT = 56.55 units
Answer:
(Arc) QPT = 56.55 units
Answer:
<h2>$21000</h2>
Step-by-step explanation:
This problem is on simple interest calcultion
A=P(1+r*n)
where
A=accumulated amount (final)
P= principal amount (initial), $15,000
r=interest written as decimal, 8% = 8/100= 0.08
n=number of years, 5years
Substituting into the expression we have
A=15000(1+0.08*5)
A= 15000(1+0.4)
A=15000(1.4)
A=$21000
<h2>Hence the ending balance that lucy would pay is $21000</h2>
Answer:
set y = 0 to get the x intercept,,,,,,,,,, 0 = 2x -3 = x = 3/2 or 1.5
Step-by-step explanation:
<span>1. 4 horses tie for 1st place
2. 3 horses tie for 1st place and 1 comes in 2nd place
3. 2 horses tie for 1st place and 2 tie for 2nd place
4. 2 horses tie for 1st place, 1 horse comes in 2nd and 1 comes in 3rd
5. 1 horse comes in 1st and 3 horses tie for 2nd place
6. 1 horse comes in 1st, 2 tie for 2nd place, and 1 comes in 3rd place
7. 1 horse comes in 1st, 1 comes in 2nd, and 2 tie for 3rd place.
8. 1 horse comes in 1st, 1 comes in 2nd, 1 comes in 3rd, and 1 comes in 4th.
</span>75.
Hope this helps.