F=ir^t, f=final amount, i=initial amount, r=common ration or "rate", t=times common ration is applied or "time", in this case:
1200=1000r^2 divide both sides by 1000
1.2=r^2 take the square root of both sides
1.2^(1/2)=r so the equation is:
f=1000(1.2)^(t/2), so in 13 hours
f=1000(1.2)^(13/2)
f=1000(1.2)^(6.5)
f≈3271 bacteria (to the nearest whole number)
89.8351648352 is your answer<span>
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A) 2^(x+3)= 4^(2x)
make base number the same
2^(x+3)= 2^2 (2x)
set the exponents equal to eachother
x+3=2 (2x)
x+3=4x
-x both sides
3=3x
÷3 both sides
x=1
b) 16^(1/5)×2^(x)=8^(3/4)
make base same number
2^4 (1/5)×2^(x)=2^3 (3/4)
2^(4/5)×2^(x)=2^(9/4)
set exponents
4/5 +x=9/4
-4/5 both sides
x= 29/20
Answer:
-65/36
Step-by-step explanation:
