An object is moving at a speed of 4 meters per month. Express this speed in inches per hour. Round your answer to the nearest hundredth.

*Note: you must use these exact conversion factors to get this question right.

Distance / length

Time

1 foot (ft) = 12 inches (in)

1 minute (min) = 60 seconds (sec)

1 yard (yd) = 3 feet (ft)

1 hour (hr) = 60 minutes (min)

1 mile (mi) = 5280 feet (ft)

1 day (day) = 24 hours (hr)

1 meter (m) = 100 centimeters (cm)

1 week (week) = 7 days (days)

1 kilometer (km) = 1000 meters (m)

1 month (month) = 30 days (days)

1 inch (in) = 2.54 centimeters (cm)

1 year (year) = 365 days (days)

1 foot (ft) = 0.305 meters (m)

1 mile (mi) = 1.609 kilometers (km)

Step-by-step explanation:

Given the speed of an object to be 4metres/month, we are to express the speed in inches/hour.

First we will need to convert 4meters to inches

From the conversion factors given,

1 foot (ft) = 0.305 meters (m)

x ft = 4metres

cross multiply

x * 0.305 = 4*1

x = 4/0.305

x = 13.115ft

4 metres = 13.115ft

Then we will convert 13.115ft to inches

From the conversion factors,

1 foot (ft) = 12 inches (in)

13.115ft = y

cross multiply

y = 13.115*12

y = 157.377 inches

Hence 4 metres = 157.77inches.

For 1 month to hour

First we need to convert month to days and from the conversion factor

1 month = 30 days

Next is to convert 30days to hours

Since 1 day = 24hours

30days = z

z = 30* 24

z = 720hours

Hence 1 month = 720hours

On converting 4metres/month to inches/hour

4metres/month = 157.77inches/720hours

4metres/month = 0.219inches/hour

Hence the speed of the object in inches per hour to the nearest hundredth is 0.22inches/hour

1/5^2 = 7.56/45

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: