Answer:
Step-by-step explanation:
Using the exponential growth function for the U. S. population from 1970 through 2003:
A = 205.1e^0.011t
with the U.S. population being 205.1 million in 1970, when would the U. S. population reach 350 million?
A.
2028
B.
2048
C.
2018
D.
2038
We have the expression
A = 205.1e^0.011t
We are asked to find when would the U. S. population reach 350 million
A = 350
350 = 205.1e^0.011t
We divide both sides by 205.1
Divide both sides by 205.1
350/205.1 = 205.1e^0.011t/205.1
1.7064846416 = e^0.011t
We take the log of both sides
log 1.7064846416 = log e^0.011t
log 1.7064846416 = t log 0.011
t = log 1.7064846416/ log 0.011
t = 0.1185057826
24 + 0.44x = 19 + 1.69x
Subtract 19 from both sides
5 + 0.44x = 1.69x
Subtract 0.44x from both sides
5 = 1.25x
Divide by 1.25 on both sides
4 = x
Answer: First option: 800 feet
Solution:
Height: h=400 sqrt(3)
Distance between the zoo and the point in the ground below the helicopter: d1=?
Distance between the library and the point in the ground below the helicopter: d2=?
Distance between the zoo and the library: d=?
d=d2-d1
tan 60°= h/d1
sqrt(3)=400 sqrt(3) / d1
Solving for d1:
sqrt(3) d1 = 400 sqrt(3)
d1= 400 sqrt(3) / sqrt(3)
d1=400
tan 30°= h/d2
sqrt(3) / 3=400 sqrt(3) / d2
Solving for d2: Cross multiplication:
sqrt(3) d2 = 3 [ 400 sqrt(3) ]
sqrt(3) d2 = 1,200 sqrt(3)
d2= 1,200 sqrt(3) / sqrt(3)
d2=1,200
d=d2-d1
d=1,200 feet - 400 feet
d=800 feet
Given:
Big cone : diameter = 12 cm ; height = 18 cm ; base = 14 cm
Small cone: diameter = 12 cm ; height = 6 cm ; base = 14 cm
Volume of a cone-shaped container = π r² h/3
Big cone:
V = 3.14 * (6cm)² * 18cm/3
V = 3.14 * 36cm² * 6cm
<span>V = 678.24 cm³
</span>Small cone:
V = 3.14 * (6cm)² * 6cm/3
V = 3.14 * 36cm² * 2cm
<span>V = 226.08 cm³
</span>Big cone - small cone = volume of water
678.24 cm³ - 226.08 cm³ = 452.16 cm³
Answer:
7, 65°
Step-by-step explanation:
(18b-11)+(9b+2)=180°
27b-9=180°
27b=189
b=7
9b+2
9×7+2
63+2
65
