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professor190 [17]
3 years ago
7

What is the fifth term of the geometric sequence? 5, 15 , 45, ...

Mathematics
1 answer:
Virty [35]3 years ago
6 0

The geometry sequence has the equation a(n)=5(3^{n-1}).

The 5 represents the first number of the sequence and the 3 represents the common ratio.

a(5) = 5(3^{5-1})=5(3^{4})=5(81)=405

answer: 405

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Use the substitution and to rewrite the equations in the system in terms of the variables and . Solve the system in terms of u a
Tatiana [17]

Answer:

x = -1 and y = 1/2

Step-by-step explanation:

Let u = 1/x, and v = 1/y

Then the pair of equations

-3/x + 4/y = 11

1/x - 2/y = -5

Can be written as

-3u + 4v = 11 .................................(1)

u - 2v = -5......................................(2)

From (2)

u = 2v - 5 .......................................(3)

Substituting (3) into (1)

-3(2v - 5) + 4v = 11

-6v + 15 + 4v = 11

-6v + 4v = 11 - 15

-2v = -4

v = 4/2 = 2

Substituting this value of v in (3)

u = 2v - 5

u = 2(2) - 5

= 4 - 5

= -1

That is

u = -1, v = 2

Since u = 1/x, and v = 1/y, we have

1/x = -1

=> x = -1

And

1/y = 2

=> y = 1/2

Therefore

x = -1 and y = 1/2

4 0
2 years ago
Select the correct answer.
sergeinik [125]

Answer:

C. 1:27

Step-by-step explanation:

a²/b²=1/9 => a=1 and b=3

a³/b³=1³/3³=1/27

C. 1:27

8 0
3 years ago
Read 2 more answers
Types of vertical mirrors​
hodyreva [135]

Answer:

Rectangle.

Round.

Arched.

Novelty.

Square.

Oval.

Octagon.

Sunburst.

Hope this is what you're looking for :)

Brainliest please

4 0
2 years ago
I need help with this. Thanks <br><br><br> I need to find the degree
scoundrel [369]

Answer:

  119.05°

Step-by-step explanation:

In general, the angle is given by ...

  θ = arctan(y/x)

Here, that becomes ...

  θ = arctan(9/-5) ≈ 119.05°

_____

<em>Comment on using a calculator</em>

If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.

__

It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...

  Tan = Opposite/Adjacent = |y|/|x|

This is the tangent of the reference angle, which will be ...

  θ = arctan(|y| / |x|) = arctan(9/5) ≈ 60.95°

You can see from your diagram that the angle CCW from the +x axis will be the supplement of this value, 180° -60.95° = 119.05°.

3 0
3 years ago
When two lines intersect to form a 90 degree angle, these lines are called ________ lines?
zalisa [80]
When two lines intersect to form a 90 degree angle, these lines are called perpendicular lines.
5 0
3 years ago
Read 2 more answers
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