Let's solve the inequality.
x - 5 >= -2
Add 5 to both sides:
x >= 3
The solution of the inequality is the number 3 and all numbers greater than 3.
Since the inequality symbol is "greater than or equal to" which includes "equal to", draw a solid dot on 3. Because of the "greater than" part, you need numbers greater than 3, so color to the right of 3.
The correct answer is choice B.
If we want to find when the population of species A will be equal to the population of species B, we need to see when the two equations for the population of each species are equal, ie. equate them and solve for t. Thus:
2000e^(0.05t) = 5000e^(0.02t)
(2/5)e^(0.05t) = e^(0.02t) (Divide each side by 5000)
2/5 = e^(0.02t) / e^(0.05t) (Divide each side by e^(0.05t))
2/5 = e^(-0.03t) (use: e^a / e^b = e^(a - b))
ln(2/5) = -0.03t (use: if b = a^c, then loga(b) = c )
t = ln(2/5) / -0.03 (Divide each side by -0.03)
= 30.54 (to two decimal places)
Therefor, the population of species A will be equal to the population of species B after 30.54 years.
I wasn't entirely sure about the rounding requirements so I've left it rounded to two decimal places.
Answer:
y=7+1/2x
Step-by-step explanation:
Hope this helps
Answer:
4.9 cm
Step-by-step explanation:
The original can has a volume of ...
V = πr²h = π(6 cm)²(10 cm) = 360π cm³
The new can will have the same volume, but a different height:
360π cm³ = πr²(15 cm)
24 cm² = r² . . . . . divide by 15π cm
r = √24 cm ≈ 4.9 cm . . . . . take the square root
The new radius must be about 4.9 cm.
Answer:
Do you have a picture?
Step-by-step explanation:
