A credit card contains 16 digits between 0 and 9. However, only 100 million numbers are valid. If a number is entered randomly,

Option b) 1960 is the total hours worked by the electrician.

Step-by-step explanation:

It is stated that a full-time electrician will put in 40 hours weekly.

Hence, we should determine the total hours he could work in a year, which consists of twelve months.

Thus, a year consists of 365 days.

To find the number of weeks in these twelve months:

Number of weeks = Total days in a year / 7 days of the week

⇒ 365 / 7

⇒ 52.14 (approximately 52 weeks)

It translates to 52 weeks within twelve months.

Out of these 52 weeks, three weeks are designated for vacation.

The total weeks the electrician will work = 52 weeks - 3 weeks

⇒ 49 weeks.

Thus, the electrician worked for 49 weeks.

To find his total worked hours = 49 weeks × 40 hours

⇒ 1960 hours.

So, the total hours the electrician worked amounts to 1960 hours, which corresponds to option b).

Initially, we need to determine how fast he skis in a minute without considering any speed increase.
To do that, we'll divide the total distance by the time.
960 divided by 5 equals 192.
Therefore, his speed is 192 meters per second.
Now, let's add 20 to this figure.
192 plus 20 equals 212.
Now, to calculate how far he can travel in 10 minutes, we multiply 212 by 10.
212 times 10 equals 2120.
Thus, Alex can cover 2120 meters in 10 minutes.

Response:

a)

b) From t increasing from 3 to 6, v changes from 18 gallons to 12 gallons.

Detailed explanation:

The relationship between the tank’s volume and time is given by:

Where V(0) indicates the starting volume and a denotes the hourly decrease.

a. Create a formula for v in terms of t.

The tank starts with 24 gallons of water, hence

It drains steadily at 2 gallons each hour, therefore

Then

b. When t progresses from 3 to 6, v changes from _________ to _________

So as t progresses from 3 to 6, v shifts from 18 gallons to 12 gallons.