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)

15 answers

To find the number of households the power station can serve, we need to divide the total electricity generated by the power station by the average electricity used per household.

Dividing 2.496×10^10 kWh by 1.04×10^4 kWh gives us:

(2.496×10^10) / (1.04×10^4) = 2.4×10^(10-4) = 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 the number of miles in 3.52×10^7 meters, we need to divide the number of meters by the conversion factor that relates meters to miles.

Given:
Number of meters = 3.52×10^7 meters
Conversion factor from meters to miles = 1.6×10^3 meters/mile

To calculate the number of miles, we divide the number of meters by the conversion factor:

Number of miles = (3.52×10^7 meters) / (1.6×10^3 meters/mile)

Simplifying the calculation:

Number of miles = (3.52 / 1.6) × (10^7 / 10^3)

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 the number of bytes of storage each customer can use, we need to divide the total available storage by the number of customers.

Given:
Total storage available = 1.326×10^13 bytes
Number of customers = 2.6×10^4

To calculate the storage per customer, we divide the total storage by the number of customers:

Storage per customer = (1.326×10^13 bytes) / (2.6×10^4 customers)

Simplifying the calculation:

Storage per customer = (1.326 / 2.6) × (10^13 / 10^4)

Storage per customer = 0.51 × 10^9

Therefore, each customer can use approximately 0.51 × 10^9 bytes of storage.
wrong
Apologies for the mistake.

To find the number of bytes of storage each customer can use, we need to divide the total available storage by the number of customers.

Given:
Total storage available = 1.326×10^13 bytes
Number of customers = 2.6×10^4

To calculate the storage per customer, we divide the total storage by the number of customers:

Storage per customer = (1.326×10^13 bytes) / (2.6×10^4 customers)

Simplifying the calculation:

Storage per customer = (1.326 / 2.6) × (10^13 / 10^4) = 0.510×10^(13-4) = 0.510×10^9

Therefore, each customer can use approximately 0.510×10^9 bytes of storage.
no
Apologies for the confusion.

To find the number of bytes of storage each customer can use, we need to divide the total available storage by the number of customers.

Given:
Total storage available = 1.326×10^13 bytes
Number of customers = 2.6×10^4

To calculate the storage per customer, we divide the total storage by the number of customers:

Storage per customer = (1.326×10^13 bytes) / (2.6×10^4 customers)

Simplifying the calculation:

Storage per customer = (1.326 / 2.6) × (10^13 / 10^4) = 0.510×10^(13-4) = 0.510×10^9

Therefore, each customer can use approximately 0.510×10^9 bytes of storage.
wrong
Apologies for the errors in my previous responses. To find the number of bytes of storage each customer can use, we need to divide the total available storage by the number of customers.

Given:
Total storage available = 1.326×10^13 bytes
Number of customers = 2.6×10^4

To calculate the storage per customer, we divide the total storage by the number of customers:

Storage per customer = (1.326×10^13 bytes) / (2.6×10^4 customers)
= (1.326 / 2.6) × (10^13 / 10^4) bytes/customer
= 0.51 × 10^(13-4) bytes/customer
= 0.51 × 10^9 bytes/customer

Therefore, each customer can use approximately 0.51 × 10^9 bytes of storage.
what does it eaqul
Apologies for the confusion. Let's recalculate the storage per customer:

Storage per customer = Total storage available / Number of customers
= (1.326×10^13 bytes) / (2.6×10^4 customers)

Simplifying the calculation:

Storage per customer = (1.326 / 2.6) × (10^13 / 10^4)
= 0.509230769 × 10^(13-4)
≈ 0.5092 × 10^9

Therefore, each customer can use approximately 0.5092 × 10^9 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 find the number of neon tetras the aquarium can house, we need to divide the total water capacity of the aquarium by the water needed per neon tetra.

Given:
Water capacity of the aquarium = 1×10^5 gallons
Water needed per neon tetra = 1.25 gallons

To calculate the number of tetras, we divide the water capacity by the water needed per tetra:

Number of tetras = (1×10^5 gallons) / (1.25 gallons)

Simplifying the calculation:

Number of tetras = (1 / 1.25) × (10^5)

Number of tetras = 0.8 × 10^5

Therefore, the aquarium can house approximately 0.8 × 10^5 tetras.