This is a geometric sequence because each term is a constant multiple, called the common ratio, of the previous term. In this case the common ratio, noted as "r", is:
8/-2=-32/8=128/-32=r=-4
The first term is -2
Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number.
Since we know r and a for this problem already we can say:
a(n)=-2(-4)^(n-1)
Answer:
length = 200 m
width = 400 m
Step-by-step explanation:
Let the length of the plaing area is L and the width of the playing area is W.
Length of fencing around three sides = 2 L + W = 800
W = 800 - 2L ..... (1)
Let A is the area of playing area
A = L x W
A = L (800 - 2L)
A = 800 L - 2L²
Differentiate with respect to L.
dA/dL = 800 - 4 L
It is equal to zero for maxima and minima
800 - 4 L = 0
L = 200 m
W = 800 - 2 x 200 = 400 m
So, the area is maximum if the length is 200 m and the width is 400 m.
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Answer: The total amount the water change was -28 gallons by the end of the week <u>OR</u> The total amount the water changed decreased 28 gallons by the end of the week. Depending on how you want to word it.
Hope this helps!
Step-by-step explanation:
<u>Create you equation:</u>
x = the total amount the water changed
d = the amount of days
x = -4d
<u />
<u>Insert the known information into the equation and solve:</u>
x = -4d
x = -4(7)
x = -28
Answer:
Step-by-step explanation:
r = 7 cm
h = 15cm
pi = 3.14
Top and bottom (These questions drive you crazy when you don't know if there is both a top and bottom).
Area = 2* pi *r^2 = 2 * 3.14 * 7^2
Area = 2 * 3.14 * 49
Area = 307.72 Don't round this.
Cylinder body
Cylinder body = Circumference * h = 2*pi * r * h
Cylinder body = 2* 3.14 * 7 * 15
Cylinder body = <u> 659.4</u>
<u />
Total = 967.12
Rounded 967.1 Answer
