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Pope Bond
07/17/2021 · High School
A map uses a scale of \( 2 \) centimeters \( = 50 \) kilometers. The distance between two cities on the map is \( 9 cm \) . Find the actual distance between the cities.
\(225\) \(km\)
In 1977 , the number of high school dropouts in a country was 5216 thousand. By 2005 , this number had decreased to 3118 thousand. Find and interpret the average rate of change per year in the number of high school dropouts.
Select the correct choice below and fill in the answer boxes to complete your choice.
(Round to the nearest tenth as needed.)
A. The average rate of change is about\( \square \)thousand each year. The number of high school dropouts decreased by an average of about\( \square \)thousand each year from 1977 to 2005.
B. The average rate of change is about\( \square \)thousand each year. The number of high school dropouts increased by an average of about\( \square \)thousand in the year 2005 .
C. The average rate of change is about\( \square \)thousand each year. The number of high school dropouts decreased by an average of about\( \square \)thousand in the year 2005 .
D. The average rate of change is about\( \square \)thousand each year. The number of high school dropouts increased by an average of about\( \square \)thousand each year from 1977 to 2005 .
Write\( 5 \log _ { b } u - 7 \log _ { b } v \)as a single logarithm with a coefficient of\( 1 \).
How can you rewrite a coefficient in front of a logarithm? Did you apply the loga logarithm as a single logarithm?
A state patrol officer saw a car start from rest at a highway on-ramp She radioed ahead to another officer 20 mi along the highway When the car reached the location of the second officer 19 min later, it was clocked going 60 milhr The driver of the car was given a ticket for exceeding the 60 mi/hr speed limit. Why can the officer conclude that the driver exceeded the speed limit?
Use the earthquake magnitude scale to answer the following question. Compare the energy of a magnitude 8 earthquake to an explosive device that released\( 7 \times 10 ^ { 18 } \)joules of energy. The explosive device releases about times as much energy. (Type a whole number.)
Use the earthquake magnitude scale to answer the following question. Compare the energy of a magnitude 8 earthquake to an explosive device that released\( 6 \times 10 ^ { 18 } \)joules of energy.
The explosive device releases about\(\square \)times as much energy.
(Type a whole number.)
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