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Alona [7]
3 years ago
12

Suppose a geometric sequence has a common ratio of 5. What is the next term after 9?

Mathematics
1 answer:
creativ13 [48]3 years ago
8 0

Answer:

<h2>            45</h2>

Step-by-step explanation:

a_{n+1}=a_n\cdot r

So, if the common ratio is 5 the next term is always 5 times the previous term.

<h3>9·5 = 45</h3>
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Write a two point slope equations for the line passing through the points 6,5 and 3,1
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The 2-point form of the equation of a line can be written as ...

... y = (y2-y1)/(x2-x1)·(x -x1) +y1

For your points, this is ...

... y = (1-5)/(3-6)·(x -6) +5

... y = (4/3)(x -6) +5

It can also be written as

... y -5 = (4/3)(x -6)

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What solid 3D object is produced by rotating the rectangle about line m?
Roman55 [17]

Answer:

A. A cylinder with diameter 8 units

Step-by-step explanation:

∵ The <u>line</u> m is the <em>central axis</em>

So the radius is 4 units. ∴ Diameter is 8 units.

∵ The picture is a <em>rectangle</em>.

[ The <em>rectangle rotates</em> are its side to form a <em>cylinder</em> ]

So a cylinder with diameter 8 units.

The answer is A.

7 0
2 years ago
Rectangle w/area of 91 has dimensions of (x+2) and (2x+3). Solve for dimensions.
Leviafan [203]

Answer:

5unit

Step-by-step explanation: since area of rectangle = length*width

Here length is (x+2) and width is(2x+3)

(x+2)(2x+3)=91

On further solving

2x^2+75x-85=0

2x^2-10x+17x-85=0

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(2x+17)(x-5)=0

x=5unit

8 0
3 years ago
The sum of 4 twelves and 7 sixteens
dolphi86 [110]

Answer: 160

Step-by-step explanation:

So here they are telling you that there are 4 twelves, a.k.a 4 groups of 12. Which means that you have to multiply 4 x 12 = 48

Then there are 7 sixteens, a.k.a 7 groups of 16.

Which also means that you have to multiply 7 x 16 = 112

Add both numbers and there you have your answer!

I hope you found my answer helpful! :)

8 0
3 years ago
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