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Evgesh-ka [11]
2 years ago
12

Express the relationship between race time and average speed in two equivalent forms to complete a 400-miles

Mathematics
1 answer:
kow [346]2 years ago
7 0

The time required for a race car to complete a 400 mile race is inversely proportional to the average speed that the car maintains. Express the relationship between race time and average speed in two equivalent forms.


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1. Contaminated water is subjected to a cleaning process. The concentration of the pollutants is initially 5 mg per liter of wat
Art [367]

Answer:

C(t)=5\cdot(0.9)^t

Step-by-step explanation:

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

C(t)=C_o\cdot(1-r)^t

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The concentration of the pollutants starts at Co=5 mg/lt. We also know the pollutant reduces its concentration by 10% each hour. This gives us a value of r = 10% / 100 = 0.1

Substituting into the general equation:

C(t)=5\cdot(1-0.1)^t

Operating:

\boxed{C(t)=5\cdot(0.9)^t}

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2 years ago
A train traveled 260 miles in 4 hours. If the train’s average rate of travel increases by 12 mph, what is its new average rate o
jasenka [17]

Answer:

Correct option A

Step-by-step explanation:

Average rate = 260/4 = 65 mph

It increases by 12mph

So 65+12 = 77 mph

Correct option A

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The postulate that is used in order to prove the congruency of the triangles is the ASA which means (Angle – Side – Angle). The property that is applicable for the congruency of DB to itself is the reflexive property. Therefore, the answer to this item is the second choice. 
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138+710 is the same as blank + 700
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Answer: 148

Step-by-step explanation:

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