An insurance company only pays for full replacement if a driver is in a wreck and is traveling a speed not deemed to be reckless. A speed of 80
mph or greater is considered reckless. Mallory has an accident and has
filed an insurance claim. The insurance uses a standard constant of
proportionality of .05 and she has a stopping distance of 245 feet. Will her
insurance provide a full replacement of her car? Explain why or why not
and show all work.

70 mph, Yes the insurance company Will provide a full replacement for her car.

Step-by-step explanation:

To get the equation lets use direct variation, and K for the constant, S for the speed, and D for the stopping distance. d=ks^2, find s, or the speed, which will get the equation s=√d/k. The speed s, is equal to the square root of the stopping distance divided by the constant. Next, lets plug in the numbers s=√245/.05. Then, we find the square root of each number, √245 = ~15.652, and √.05 ~.2236  s=15.652/.2236 then divide, which will equal s=70. 70<80, so the insurance company will provide a full replacement for her car.

I hope this helps!

honesty mood

step-by-step explanation:

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: