What is a31 of the arithmetic sequence for which a5=3.2 and a9=12.0?

Miguel's batting average is roughly 0.330

Explanation

Miguel Cabrera achieved 205 hits in 622 at-bats.

To calculate batting average, we need to divide the hits by the total at-bats and round the result to three decimal places since batting average is conventionally rounded in this manner.

Hence, Miguel's batting average ≈ 0.330 (Rounded to three decimal points)

Answer:

25 one-dollar bills, 13 five-dollar bills, and 12 ten-dollar bills.

Step-by-step explanation:

The equations that can be formed are:

x+y+z=50 (1)

x+5y+10z=210 (2)

x= 2y-1 (3)

where x = number of one-dollar bills,[tag_20] y = number of five-dollar bills,

Substituting (3) into (1) and (2) gives:[

2y-1+y+z= 50

3y+z=51

2y-1+5y+10z= 210

7y+10z=211

You will then derive the following equations:

3y+z=51 (4)

7y+10z=211 (5)

Next, isolate z using (4) and substitute it into (5):

z= 51-3y

7y+10(51-3y)=211

7y+510-30y=211

-23y=-299

y= 13

After substituting the value of y into z= 51-3y, we find:

z=51-3(13)= 51-39= 12

Now, replace y's value in (3):

x=2(13)-1= 26-1= 25

Thus, the final result indicates there are 25 one-dollar bills, 13 five-dollar bills, and 12 ten-dollar bills.

Step-by-step explanation:

The difference quotient represents the slope of the line connecting two points on a curve. To achieve the most accurate estimate, we need to use points that are nearest to x = 0. For this problem, the relevant points are (-0.001, 1.999) and (0.001, 2.001).

m = (2.001 − 1.999) / (0.001 − (-0.001))

m = 1