Answer:
an = 63(-1/3)^(n-1)
Step-by-step explanation:
This is a geometric sequence with first term 63 and common ratio -1/3.
The equation for the nth term is
an = 63(-1/3)^(n-1).
Answer:
The equation of the line is;
y = 3x + 18
Step-by-step explanation:
We want to write the equation of the line through (-9,-9) and (-6,0)
we start by calculating the slope of the line
m = (y2-y1)/(x2-x1) = (0+ 9)/(-6+9) = 9/3 = 3
The general equation of the line is;
y = mx + c
y = 3x + c
To get c, we use any of the points
we substitute for example -6 for x and 0 for y
0 = 3(-6) + c
c = 0 + 18 = 18
So the equation of the line is;
y = 3x + 18
Okay. So to find the unit rate,divide pounds of flour by the number of cups. Turn the mixed numbers into improper fractions, which are 11/2 and 25/16. To divide fractions, keep the fraction the same, change the division symbol into multiplication, and flip the second fraction over. Then, multiply straight across. 11/2 * 16/25 is 176/50 or 3 13/25 in simplest form. To find out if there are more or less than 35 cups of flour in a 10-pound bag, you can round the number to the nearest whole number and multiply it by 10. For the exact unit rate, there are 3 13/25 cups of flour per 1 pound bag. Now, multiply that number by 10. Going back to improper fractions, 176/50 * 10/1 is 1,760/50 or 35 1/5 in simplest form. There are more than 35 cups of flour in a 10-pound bag of flour.
Because it is every hour there's 60min so that's and hour the the next 45 min are different
