Answer:
2/8 is one-half as much as 1/2
Step-by-step explanation:
Change the denominators to the same number.
2/8 is already okay
1/2=4/8
now
2/8 would be one-half as much as 4/8
The vertical distance will be given by:
sin θ=opposite/hypotenuse
but
θ=6°
opposite=x
hypotenuse=120 ft
thus
sin 6=x/120
x=120 sin 6
x=12.54 ft
thus the hiker's change of position is 12.54 ft
Answer: 6m^2 +m -40
Step-by-step explanation: Distributing binomials calls for the FOIL method.
Multiply the First times the First: 3m×2m= 6m^2. (^2 means squared when we can't use superscript for exponents.)
Then multiply and combine the Outside and Inside terms: 2m ×8=16m. and -5 ×3m= -15m
16m - 15m = m
Then multiply the Last terms: -5×8= -40
You end up with
6m^2 + m -40
Answer:
decay: a, b
growth: c, d, e, f
neither: g
Step-by-step explanation:
A function is exponential if it has the independent variable in an exponent. g(x) is a linear function, not an exponential function.
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An exponential function is a growth function if the coefficient of the variable is positive and the base of the exponent is greater than 1. It is a decay function if the exponent is positive and the base is less than 1.
The first two functions are decay functions. The remaining four exponential functions are growth functions.