F(x) = 16ˣ
A. g(x) = 8(2ˣ)
g(x) = (2³)(2ˣ)
g(x) = 2ˣ⁺³
The answer is not A.
B. g(x) = 4096(16ˣ⁻³)
g(x) = (16³)(16ˣ⁻³)
g(x) = 16ˣ
The answer is B.
C. g(x) = 4(4ˣ)
g(x) = 4ˣ⁺¹
The answer is not C.
D. g(x) = 0.0625(16ˣ⁺¹)
g(x) = (16⁻¹)(16ˣ⁺¹)
g(x) = 16ˣ
The answer is D.
E. g(x) = 32(16ˣ⁻²)
g(x) = (2⁵)(2⁴ˣ⁻⁸)
g(x) = 2(⁴ˣ⁻³)
The answer is not E.
F. g(x) = 2(8ˣ)
g(x) = 2(2³ˣ)
g(x) = 2³ˣ⁺¹
The answer is not F.
The answer is B and D.
Answer:
d = 363/8
Step-by-step explanation:
Let's write this as a fraction:
8 1/4 2
------------- = -------
d 11
One way in which this could be approached would be to interchange 'd' and '2:'
8 1/4 d 33 d
------------- = ------- or -------- = ---------
2 11 4(2) 11
Multiplying both sides by 11 isolates d:
33(11) 363
-------- = d, or d = ----------
8 8
Population are often modelled by exponential functions
The population will reach 1000000 people after 26.5 years
The population function is given as:
When the population reaches 1000000 people, we have:
P(x) = 1000000
So, the equation becomes
Divide both sides by 692600
Take logarithm of both sides
Apply logarithm to both sides
Make x the subject
Solve the logarithms of 1.444 and 1.014
Divide
The value of x, is the number of years the population reaches 1000000 people.
Hence, the population will reach 1000000 people after 26.5 years
Read more about population at:
brainly.com/question/24581924
For a rectangular prism
Volume = 24 * 72* 18 = 31104 cubic feet.
