Step-by-step explanation:
A. this is a geometric sequence.
according to y-coordinates =>
3, 6, 12, 24
have a T1 = 3 and ratio = 6/3 = 2
B. the formula = Tn = r. T(n-1)
T5 = 2. T4
= 2. 24 = 48 minutes
C. the formula : Tn = T1 . r^(n-1)
T9 = 3. 2^(9-1)
= 3. 2^8
= 3. 256
= 768 munutes
Answer: 6x + 3.5y > 60
<u>Step-by-step explanation:</u>
Popcorn: cost is $6.00, variable is x
Soda: cost is $3.50, variable is y
Total: GREATER than $60
Popcorn + Soda > Total
6x + 3.5y > 60
Answer:
£ 21552.13
Step-by-step explanation:
P= £18790
r =4.9% = 
t = 3 years
I = Prt
I = 18790 * 0.049 * 3
=£ 2762.13
After 3 years , the amount in Dan's account = 18790 + 2762.13
= £ 21552.13
In order to rationalize the denominator of each expression, we need to multiply the expression by the same radical in the denominator, this way we can remove the radical from the denominator.
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Plot and connect the points A (2, -2), B (-4, -4), C (-4, -1), D (-2, 3), E (1, 3), F (2, 5), and find the length of BC.
Paul [167]
Answer:
BC = 3 units
Step-by-step explanation:
Given points:
- A = (2, -2)
- B = (-4, -4)
- C = (-4, -1)
- D = (-2, 3)
- E = (1, 3)
- F = (2, 5)
<u>Plot the points</u> on the coordinate plane (x, y) and connect them in alphabetical order with straight lines (see attached).
From visual inspection of the <u>drawn polygon</u>, we can see that the length of BC is 3 units.
It is fairly simple to calculate the length of BC without plotting the points.
As points B and C have the same x-value, this means that the distance between them is simply the difference between their y-values.
⇒ distance = |-4 - (-1)| = |-3| = 3 units