Answer: Exponential function: 
Step-by-step explanation:
Exponential function: 
, a = initial value , x= time, b= growth factor , b= 1+r , where r=rate of growth.
Given: Initial population = a= 12,000,
rate of growth = r= 5% = 0.05
Then, b= 1+r= 1+ 0.05 = 1.05
Substitute value of a and b in (i), we get
Hence, The required exponential function: , where x= time.
Answer:
extra-large
Step-by-step explanation:
Answer: Seventh power of 10
Step-by-step explanation:
X > 1 so exponent will be positive and decimal point moves left. At each point divide X by 10, add 1 to exponent of 10. Exponent starts at zero.
Each time you move the decimal point one to left, you have divided the number by 10, so you have to compensate by multiplying the 10^n factor by 10, say 10 × 10^3 = 10×10×10×10 = 10^4.
12345678 = 12345678 × 10^0
= 1234567.8 × 10^1
= 123456.78 × 10^2
= 12345.678 × 10^3
= 1234.5678 × 10^4
= 123.45678 × 10^5
= 12.345678 × 10^6
= 1.2345678 × 10^7
Each time you move decimal to right, you have multiplied the number by 10, so you have to compensate by dividing the 10^n by 10, subtracting one from exponent.
0.000123 × 10^0 = 0.00123 × 10^-1
= 0.0123 × 10^-2 = 0.123 × 10^-3 = 1.23 × 10^-4
10^-2 / 10 = (1/(10×10)) / 10 = 1/(10×10×10) = 10^-3
Answer:
Step-by-step explanation:
Answer:
45.7
Step-by-step explanation:
Hello there!
We can calculate the missing angle using trigonometry
here are the trigonometric ratios
sin = opposite over hypotenuse
cos = adjacent over hypotenuse
tan = opposite over adjacent
We are given x's opposite side length (8) and x's adjacent side length (7.8)
we are given the information to use the trigonometric ratio tangent
so now we create an equation (remember tan - opposite over tangent)
now we solve for x
we're left with
finally we want to get rid of the tan
To do so we take the inverse of tan (arctan^-1) and apply it to each side
so x = 45.7252243
finally we round to the nearest tenth and get that the answer is
45.7
