The expression that is equivalent to the given expression is -4x^-5
<h3>How to determine which expression is equivalent to the given expression?</h3>
The expression is given as:
Rewrite properly as
-4x^-5x^0
Express as products
-4x^-5 * x^0
The value of x^0 is 1
So, we have:
-4x^-5 * 1
Evaluate the product
-4x^-5
Hence, the expression that is equivalent to the given expression is -4x^-5
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A) 6² and 7² , 36 and 49 not this one
B) 7²=49 and 8²=64 not this one
C) 8²=64 and 9²=81 , so 8 and 9, correct answer
Answer:
3(x + 2)
Step-by-step explanation:
Newton's Law of Cooling
Tf=Ts+(Ti-Ts)e^(-kt) where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid. So we need to find k first.
200=68+(210-68)e^(-10k)
132=142e^(-10k)
132/142=e^(-10k)
ln(132/142)=-10k
k=-ln(132/142)/10
k≈0.0073 so
T(t)=68+142e^(-0.0073t) so how long until it reaches 180°?
180=68+142e^(-0.0073t)
112=142e^(-0.0073t)
112/142=e^(-0.0073t)
ln(112/142)=-0.0073t
t= -ln(112/142)/(0.0073)
t≈32.51 minutes
