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lutik1710 [3]
3 years ago
9

Find the 14th term of the geometric sequence 2,6,18, ...

Mathematics
2 answers:
Bumek [7]3 years ago
8 0

Answer:

Step-by-step explanation:

The answer to this question link is here

https://socratic.org/answers/623991

riadik2000 [5.3K]3 years ago
8 0

The geometric sequence is starting with 2 and multiplying by 3 every time. We can get the rule of this sequence by...

  • If 2 is a_{1}, 6 is a_{2}, 18 is a_{3}, etc...
  • then, a_{n}=2(3)^(n - 1)

For the 14th term, plus in 14 for n, and it will look like this:

= 2(3)^(14 -1)

= 2(3)^(13)

= 3188646

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Charlie is standing 45 feet from the base of 100 foot tall tree. What is the angle of elevation from him to the kite stuck on to
galben [10]
Hey. Let me help you on this one.

In order for us to solve this problem easier, let's break it apart. We can also graph the triangle so we get visual of this problem.

I drew a quick graph for you to easier understand this question. As you can see, Charlie is standing below the tree 45 feet from it, and we need to find the unknown angle measure.

Let's form a SOHCAHTOA function which you have probably already learned in your Geometry course.

First of all let's identify our sides. The side opposite of the right triangle is a Hypotenuse, and the side that's 45 feet is adjacent, since it's adjacent to the unknown angle.

We know that we need to use Cos (Cosine) with negative power to it in order to solve this question, since we are looking for the unknown angle measure.

Let's form the function which Cos, Hypotenuse, and Adjacent side.

Cos^{-1} =45/100

Now, let's solve the left part of this function


Cos^{-1} =0.45

Awesome. You will need to use your calculator for this part. Find the value of 0.45 when negative Cosine is used on it.

Cos^{-1} =0.45
63.25631605

Awesome. Let's round this number to the closest tenth

63.3 is the rounded value we have discussed below.

Answer: 63.3 degrees is the unknown measure of the angle

5 0
3 years ago
Complete the square to solve the equation below.
sasho [114]
Hello there!

x² + x = 7/4
x² + - 7/4 = 0

Now we gonna use the quadratic formula to find x
a= 1
b=1
c = -1.75

x = -b+/-√b² -4ac all of them divide by 2a
x = -(1)+/-√(1)² - (4)(1)(-1.75) all of them divide by 2(1)
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x = -1/2 + √2 or x = -1/2 - √2

The correct option is option C

I hope that helps!
4 0
4 years ago
Type the correct answer in each box. Round the vector's magnitude to the nearest tenth.
Mama L [17]

Component form of u is (-18,13) and The magnitude of u is 22.2

<h3>What is a vector?</h3>

A vector is a two-dimensional entity with both magnitude and direction. A vector can be visualized geometrically as a directed line segment.

The component form of a vector is an ordered pair that describes the change in x and y values

This is mathematically expressed as (Δx, Δy) where Δx=x₂-x₁ and Δy=y₂-y₁

Given ;

Initial points of the vector as (14,-6)

The terminal point of the vector is (-4,7)

Here x₁=14,x₂=-4, y₁=-6,y₂=7

The component form of the vector u is (-4-14,7--6) =(-18,13)

Finding the Magnitude of the vector

u=√(x₂-x₁)²+(y₂-y₁)²

u=√-18²+13²

u=√324+169

u=√493

u=22.2

Therefore the Component form of u is (-18,13) and The magnitude of u is 22.2

To know more about vectors follow

brainly.com/question/25705666

#SPJ1

3 0
2 years ago
What is the greatest common factor for 25 and 77?
klemol [59]
The answer is 1
factors of 25 are 25, 5, 1
factors for 77 are 77, 11, 7, 1
3 0
3 years ago
Read 2 more answers
Simplify (2 (radical 5) - 4) (3 (radical 5) +2)
dem82 [27]
(2 \sqrt{5}-4 )(3 \sqrt{5}+2 )=\\2*3*5+2*2* \sqrt{5} -4*3* \sqrt{5}-4*2= \\ 30+4 \sqrt{5}-12 \sqrt{5}-8= \\ 22-8 \sqrt{5}
6 0
3 years ago
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