California, the most populous state, has approximately 40,000,000 people living in it. The population of the entire United States is about 3E8 people. About how many times greater is the population of the United States than the population of California? State operation used and write answer in proper scientific notation (can use e)

 7.5 E 0

This is the same as saying 7.5 * 10^0

Both of these values convert to the number 7.5; meaning that the population of the US is about 7.5 times greater than the population of CA.

Work Shown:

40,000,000 = 40 million

40,000,000 = 4.0 * 10^7

Note how we move the decimal 7 spots to the right to go from 4.0 to 40,000,000

so the 7 in 10^7 tells us how many spots to move the decimal point in the base number 4.0

The number 4.0*10^7 can be condensed to 4E7. The "E" represents "times 10 to the"

As another example, "3E8" means "3 times 10 to the 8th power" which becomes 3.0*10^8 = 300,000,000 = 300 million

We have these two facts

We'll divide the two populations to get

y/x = (3E8)/(4E7)

y/x = (3*10^8)/(4*10^7)

y/x = (3/4)*10^(8-7)

y/x = 0.75*10^1

y/x = 7.5

We can see that the population of the US is roughly 7.5 times greater compared to the population of CA.

Convert 7.5 to scientific notation, and we get

7.5 = 7.5*1 = 7.5 * 10^0 = 7.5 E 0

Keep in mind that these are population estimates, and populations change over time.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!