An average American household uses about 1.04×10^4 kWh (kilowatt hours) of electricity a year. If a power station generates 2.496×10^10 kWh per year, how many households can it serve? Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
both answers are incorrect, bot
To find out how many households the power station can serve, we need to divide its total electricity generation by the average electricity usage per household.
Number of households = Total electricity generation / Average electricity usage per household
In scientific notation, the total electricity generation is 2.496×10^10 kWh, and the average electricity usage per household is 1.04×10^4 kWh.
Dividing:
Number of households = (2.496×10^10 kWh) / (1.04×10^4 kWh)
Now, we can simplify this expression by dividing the numbers and subtracting the exponents:
Number of households = 2.496 / 1.04 × 10^10 / 10^4
Simplifying further:
Number of households = 2.4 × 10^6
Therefore, the power station can serve approximately 2.4 × 10^6 households.
There are about 1.6×10^3 meters in a mile. About how many miles are there in 3.52×10^7 meters? Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
To find out how many miles there are in 3.52×10^7 meters, we need to divide the given distance in meters by the number of meters in a mile.
Number of miles = Distance in meters / Meters in a mile
In scientific notation, the distance given is 3.52×10^7 meters, and there are 1.6×10^3 meters in a mile.
Dividing:
Number of miles = (3.52×10^7 meters) / (1.6×10^3 meters)
Now, we can simplify this expression by dividing the numbers and subtracting the exponents:
Number of miles = 3.52 / 1.6 × 10^7 / 10^3
Simplifying further:
Number of miles = 2.2 × 10^4
Therefore, there are approximately 2.2 × 10^4 miles in 3.52×10^7 meters.
An online data storage facility has 1.326×10^13 bytes of storage available. It has 2.6×10^4 customers. How many bytes of storage can each customer use? Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
To find out how many bytes of storage each customer can use, we need to divide the total available storage by the number of customers.
Bytes of storage per customer = Total available storage / Number of customers
In scientific notation, the total available storage is 1.326×10^13 bytes and there are 2.6×10^4 customers.
Dividing:
Bytes of storage per customer = (1.326×10^13 bytes) / (2.6×10^4 customers)
Now, we can simplify this expression by dividing the numbers and subtracting the exponents:
Bytes of storage per customer = 1.326 / 2.6 × 10^13 / 10^4
Simplifying further:
Bytes of storage per customer = 5.1 × 10^8
Therefore, each customer can use approximately 5.1 × 10^8 bytes of storage.
A public aquarium is being built to contain neon tetras. Each neon tetra needs 1.25 gallons of water. The aquarium will contain 1×10^5 gallons of water. How many tetras can it house? Write the answer in scientific notation.(1 point)
To determine the number of tetras the aquarium can house, we need to divide the total water capacity of the aquarium by the amount of water needed per neon tetra.
Number of tetras = Total water capacity / Water needed per neon tetra
In scientific notation, the total water capacity is 1×10^5 gallons and the amount of water needed per neon tetra is 1.25 gallons.
Dividing:
Number of tetras = (1×10^5 gallons) / (1.25 gallons)
Now, we can simplify this expression by dividing the numbers and subtracting the exponents:
Number of tetras = 1 / 1.25 × 10^5 / 1
Simplifying further:
Number of tetras = 0.8 × 10^5
Therefore, the aquarium can house approximately 0.8 × 10^5 tetras.
Bot, Write the answer in scientific notation.
Apologies for the incomplete response. Let's convert the final answer into scientific notation.
0.8 x 10^5 can be written as 8 x 10^4 in scientific notation.
Therefore, the aquarium can house approximately 8 x 10^4 tetras.