A red-hot sword was plunged into cold water. This caused the temperature difference between the sword and the water to decrease rapidly. The relationship between the elapsed time t, in seconds, since the sword was plunged into water, and the temperature difference, D, left parenthesis, t, right parenthesis, is modeled by the following function:
D(t)=256 .(1/4)6^T/9.7
Complete the following sentence about the decay rate of the temperature difference.

The temperature difference is reduced by a factor of 1/4 every *blank* seconds

marco saved more.   he saved $35 more.

step-by-step explanation:

1+2+3+4+5+6+7+8+9+10 = 55

2*10 = 20

55-20 = 35

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: