32 is the answer to the problem
To determine the correct ordered pairs which will agree with the function, we can substitute values to the function and see whether it agree with each other. We do as follows:
<span>(0,1)
</span><span> f(x)=128(0.5)^0
</span><span> f(x)=128
</span><span>
(1,64)
</span><span> f(x)=128(0.5)^1
</span>f(x) = 64 <--------CORRECT ANSWER<span>
(3,16)
</span><span> f(x)=128(0.5)^3
f(x) = 16 <--------CORRECT ANSWER
</span><span>
(8,0.5)
</span><span> f(x)=128(0.5)^8
f(x) = 1/2
Hope this answers the question. Have a nice day.</span>
Both their ages totaled in 5 (years) - 5 (years)
63 - 5 = 58
Current ages totaled = 58 (years)
Daniela is 23 years older than her daughter (as given above) so...
Current ages totaled (58 years) - How many years Daniela is older than her daughter ( 23 years )
58 - 23 = 35
So, Daniela’s age is currently 35 years and her daughter’s age would be 23 years.
Choice given:
<span>33.6°
39.8°
50.2°
56.4°
I drew the figure.
I got 12 ft as the hypotenuse, 10 ft as the opposite.
Sin</span>Θ = opposite / hypotenuse
SinΘ = 10/12
SinΘ = 0.83
I used the calculator to get the value of each angle using the sine function
sin(33.6°) = 0.55
sin(39.8°) = 0.64
sin(50.2°) = 0.77
sin(56.4°) = 0.83
The angle where the wire meets the ground is approximately 56.4°
To factor completely 18b - 32, we factor out the common factor of the two terms and divide each of term by the common factor.
18b - 32 = 2(18b/2 - 32/2) = 2(9b - 16)
