The first five terms of the sequence are 1, 4, 7, 10, 13.
Solution:
Given data:
General term of the arithmetic sequence.
, where d is the common difference.
d = 3
Put n = 2 in , we get
Put n = 3 in , we get
Put n = 4 in , we get
Put n = 5 in , we get
The first five terms of the sequence are 1, 4, 7, 10, 13.
95,000 x .45=$42,750 for both federal and state tax..
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So,
Home ---- gym = 3.6 mi.
gym ---- store = .7 mi.
store ----- home = x
3.6 + .7 + x = 7.2 mi.
Collect Like Terms
4.3 + x = 7.2
Subtract 4.3 from both sides
x = 2.9
The distance from the store to her home is 2.9 miles.
Answer:
The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.
Step-by-step explanation:
The difference between continuous and discrete graphs and functions is that a discrete function allows the variables to be only certain points in the interval, usually only integers; meanwhile, a continuous function allows the variables to be any points in the interval. Here, both variables are discrete, that is, the number of people is {0, 1, 2, 3, ...}, and days are {Monday, Tuesday, Wednesday, ...}
Answer:
3h² + 35hw ;
a = 3 ; b = 2 ; c = 35
Step-by-step explanation:
Given that :
Dimension of bookcase :
Height = h ; Length = 2h ; width = w
Area of backside :
Height * length
h * 2h = 2h²
Cos of back material = $1.5 per ft²
Cost = 1.5 * 2h²
Cost = 3h²
Top and bottom :
Length * width
2h * w
Side area = 3 * h * w
Total area : Top + bottom +. Side
Total area : 2hw + 2hw + 3hw = 7hw
Pine = $5 per sq foot
Total cost = $5 * 7hw
= $35hw
Entire cost, C
3h² + 35hw
From the format :
ah^b + chw,
a = 3 ; b = 2 ; c = 35
