A state is looking to reduce the cost of transportation, which uses 7.10×10^14 BTUs per year. Currently the cost of 10^6BTUs is $20.00. How much will the state save in one uear if they implement regulations requiring all transportation methods to be 20% more efficient

$ 284 million dollars

Explanation:

If the energy usage of all transportation is 7.10 × 10¹⁴ BTU per year, if their efficiency is to increase by 20%, The new energy usage will be (1 + 20/100)7.10 × 10¹⁴ BTU per year = (1.02)7.10 × 10¹⁴ BTU per year = 7.242 × 10¹⁴ BTU per year.

The energy saved is thus the difference 7.242 × 10¹⁴ BTU per year - 7.10 × 10¹⁴ BTU per year = 0.142 × 10¹⁴ BTU per year.

Since 10⁶ BTU costs $ 20.00, then,

0.142 × 10¹⁴ BTU costs 0.142 × 10¹⁴ BTU × $ 20.00/10⁶ BTU = $ 2.84 × 10⁸ per year = $ 284 million dollars

So the state saves $ 284 million dollars in one year

relative dating involves things like higher layers are most recent than rocks lower in the sequence. this can be extended to the known sequence of fossils. rocks containing rabbit fossils are later than those containing dinosaur fossils.  

absolute dating methods mainly use radioactive elements that have known rates of decay and produce recognizable products. for example potassium 40 decays to produce argon. once a rock has solidified the argon is trapped. by measuring the argon and potassium0 you can get an accurate number for the age.  

some other methods are good for archaeological ages. dendrochronology involves recognizing the sequence of tree rings. the orientation of magnetized particles in baked clay can be used to date a fire.

hope this .. .

the answer that best describes the relative refractory period in the neuron is the resting membrane potential is restored, but concentrations of sodium and potassium are not restored to their original state.

the refractory period is the time during which another stimulus given to the neuron will not lead to a second potential. thus, because na+ channels are inactivated during this time, additional depolarizing stimuli do not lead to new action potentials.  

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