A recursive definition for the sequence shown above can be x = n-5.
21 - 5 = 16
16 - 5 = 11
11 - 5 = 6
and so on...
The number sequence has a difference of 5 in each of the values before and after them.
Answer: Each pitcher has 4 quarts of lemonade.
Step-by-step explanation:
Louis made 24 quarts of lemonade, and he divided it equally into 6 pitchers.
Then, each pitcher must has a sixt of the total amount of lemonade, this is:
p = (1/6)*24 quarts= (24/6) quarts = 4 quarts
Each pitcher has 4 quarts of lemonade.
Answer:
Step-by-step explanation:
Answer:
(-5, 1)
Explanation:
We are given a kite on the graph which is rotated 180° clockwise about the origin and then reflected over the Y axis followed by reflection over the X axis.
We are to find the coordinates of point A after the complete transformation.
A (-5, 1)
When a point is rotated 180° clockwise about the origin, the signs of its coordinates change.
A (-5, 1) ---> A' (5, -1) - after clockwise rotation of 180 degrees about origin
Then this point A' is reflected over the Y axis where the y coordinate remains the same but x coordinate changes its sign.
A' (5, -1) ---> A'' (-5, -1) - after reflection through y axis
Now this point A'' is reflected over the X axis where the x coordinate remains the same while y coordinates changes its sign.
A'' (-5, -1) ---> A''' (-5, 1) - after complete transformation
Answer:
A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm
Step-by-step explanation:
This is a geometric sequence.
a%5B1%5D=1.5m=150cm, r=0.74
The formula is
a%5Bn%5D=a%5B1%5Dr%5E%28n-1%29
Just substitute a1 = 150cm and r = 0.74
a%5Bn%5D=150%280.74%29%5E%28n-1%29
That's the rule.
For the second part, substitute n = 6
cm.
Answer:
$600
Step-by-step explanation:
A = P(1 + rt)
P is the Principal amount of money to be invested at an Interest Rate R% per period for t Number of Time Periods.
A= 5,000(1+ 0.08x1.5) = $5600
