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kupik [55]
4 years ago
15

Consider the sequence 8, 14, 20, 26, . . .. (a) What is the next term in the sequence? 2.2 Exercises 98 (b) Find a formula for t

he nth term of this sequence, assuming a1 8. (c) Find the sum of the first 100 terms of the sequence: P100 k1 ak
Mathematics
1 answer:
omeli [17]4 years ago
3 0

Answer:

Step-by-step explanation:

Each term of the given arithmetic sequence is 6 more than the previous one.  Thus, the next term is 26+6, or 32.

a(n) = 8 + 6(n-1)

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I don’t know need points
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3 years ago
If 2^x=3^y=12^z, show 1/z=1/y+2/x​
weqwewe [10]

Answer:

2=k^1/x

3=k^1/y

12=k^1/z.......we get...

(atq)------k^1/x=k^1/y=k^1/z

(*a^m=b^m......b=a)

~1/x=1/y=1/z

1/z=1/y+1/x×2

(12=3+2×2)

1/z=1/y+2/x.....proved

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3 years ago
The radius of cylindrical water tank is 4.5 ft, and its height 6 ft, What is the volume of the tank?
NeTakaya

Answer:

Volume=381.7 \,ft^3

Step-by-step explanation:

Use the formula for the volume of a cylinder:

Volume= B times height

Being "B" the area of the cylinder's base (a circle of radius 4.5 ft.

Therefore the area of the base is:

Area=\pi R^2 = \pi (4.5\,ft)^2=63.617\,ft^2

So the volume of the cylinder is:

Volume=B\,*\,h = 63.617\,* 6\,ft^3=381.7 \,ft^3

7 0
3 years ago
Identify the transformation of the geometric figure performed in the graph.
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Check whether (0, -2) is solution of the equation x - 2y = 4 or not.
Elan Coil [88]

Answer: Yes, it is a solution

===================================================

Explanation:

Any ordered pair, aka point, is of the form (x,y)

x is always listed first

The point (0,-2) means x = 0 and y = -2 pair up together

Let's plug them into the equation and simplify everything

x-2y = 4

0-2(-2) = 4

0+4 = 4

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We end up with a true statement since we get the same thing on both sides, therefore the original equation is true for (x,y) = (0,-2)

(0,-2) is a solution to the given equation

Phrased another way: the point (0,-2) is on the line x-2y = 4. This point is the y intercept.

6 0
3 years ago
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