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Advocard [28]
4 years ago
13

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

Mathematics
1 answer:
denpristay [2]4 years ago
7 0

Answer:

405

Step-by-step explanation:

This is a geometric sequence, so we need the common ratio and the first term

To find the common ratio, we take the second term and divide by the first term

15/5 =3

The common ratio is 3

We are multiplying by 3 each time

The first term is 5

The formula is

an = a1 * (r) ^ (n-1)  where n is the term number

We want the 5th term

a5 = 5 * (3) ^ (5-1)

a5 = 5 *3^4

    = 5 *81

    = 405

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What is the rule for a counterclockwise rotation about the origin of 210°
Phoenix [80]

Answer:

  (x, y) ⇒ (-x√3/2 +y/2, -x/2 -y√3/2)

Step-by-step explanation:

The rule for CCW rotation through an angle α is ...

  (x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))

So, for α = 210°, the rule becomes ...

  (x, y) ⇒ (-x√3/2 +y/2, -x/2 -y√3/2)

8 0
4 years ago
Andrew is showing his work in simplifying −4.5 + 4.2 + 5.6 − 7.3. Identify any errors in his work or in his reasoning. Write fee
Anni [7]

Answer:

Error: 1 −4.5 + 4.2 + 5.6 + (−7.3) Additive inverse

Step-by-step explanation:

Correction: no need to subtract from one

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6 0
3 years ago
Read 2 more answers
How do you solve these i’ve tried youtube videos but i can’t figure it out
Gelneren [198K]
I'll solve problem 3 (I think it's what you're asking)
All the ones you answered on problem 3 are correct.
I'll solve the rest

c) KM = 26

The diagonals of a rectangle are congruent.
If the measure of one diagonal is 26 (which is 13 + 13), the other one is 26.

d) m∠KLM = 90

It's a rectangle! It's supposed to have 4 corners with right angles.
∠KLM is a corner of the rectangle

f) m∠LJM = 22

Subtract 68 from 90 since you know ∠LJK = 68
90 - 68 = 22

Question 1, 2, and 4 is a bit hard to see.

Have an awesome day! :)
3 0
3 years ago
What would be the logical answer
nekit [7.7K]

Replace the x in the expression by 0 and work it out:-

y-intercept = 2 (0)^2 - 7(0) + 9 = 9

Answer is option  (4).

7 0
3 years ago
Consider the following functions
TiliK225 [7]

Step-by-step explanation:

g(5)=3(5)-11

=15-11

=4

f(g(5))=2(4)²+4(4)+10

=2(16)+16+10

=32+26

=58

5 0
3 years ago
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