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3 years ago

Find the 6th term of the geometric sequence, given the first term and common ratio a1= 5 and r=3/2

Mathematics

1 answer:

uysha [10]3 years ago

6 0

<u>Answer</u>

37.96875

<u>Explanation</u>

In geometric sequence we use the formula below to find the nth of a sequence.

Tn = ar⁽ⁿ⁻¹⁾

Where a ⇒ first term

n ⇒ the term we are looking for

T₆ = 5 × (3/2)⁶⁻¹

= 5 × (3/2)⁵

= 5 × 243/32

= 1215/32

= 37 31/32

= 37.96875

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The lopez family goes to the movies. They buy 2 adult tickets for $6 each and 3 child tickets for $4 each. Write an equation to

andre [41]

I think it would be 2x+3y=$24
Adult tickets would be x
Child tickets would be y
I’m not 100% sure though sorry

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2 years ago

What is the area? Please help me.

svlad2 [7]

Answer:

106 square meters.

Step-by-step explanation:

First find the whole orange rectangular figure and then remove a part of it. The original orange figure appears to be 10 x 12 = 120 m. Next we would need to find the amount that is removed. To find this we need to find the length and width of the thing. The length is 7 and the width looks to be 10 - 4 - 4 = 2. 7 x 2 = 14. Subtract 14 from 120 to get 106 square meters.

4 0

2 years ago

Read 2 more answers

Look at the question in the picture pls I need help

Lena [83]

Step-by-step explanation:

Let the painting's width be w inches and length be l inches.

w + 6 = 2l

w = 2l - 6 --(1)

2w + 2l = 84 --(2)

sub (1) into (2):

2(2l - 6) + 2l = 84

2l - 6 + l = 42

3l = 48

l = 16

when l = 16, w = 2(16) - 6 = 26

area of painting = lw = 16 x 26 = 416square inches

Therefore, only statements 1, 3 and 5 are true

Topic: Algebraic equations + Simultaneous linear equations

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

8 0

3 years ago

(f/g)(x)and (f/g)(7)

Phoenix [80]

Answer:

$(\frac{f}{g})(x)=\frac{f(x)}{g(x)}\\\\(\frac{f}{g})(7)=\frac{f(7)}{g(7)}$

Step-by-step explanation:

Division operation of function: $If\ f(x)\ and\ g(x)\ are\ two\ functions\ then\ (\frac{f}{g})(x)=\frac{f(x)}{g(x)}$

$Here\ we\ have\ to\ find\ (\frac{f}{g})(7)\\\\(\frac{f}{g})(7)=\frac{f(7)}{g(7)}$

Example:

$Take\ f(x)=3x^2+1,\ g(x)=x+1\\\\(\frac{f}{g})(x)=\frac{f(x)}{g(x)}\\\\(\frac{f}{g})(x)=\frac{3x^2+1}{x+1}\\\\f(7)=3\times 7^2+1\\\\f(7)=3\times 49+1\\\\f(7)=148\\\\g(7)=7+1\\\\g(7)=8\\\\(\frac{f}{g})(7)=\frac{f(7)}{g(7)}\\\\(\frac{f}{g})(x)=\frac{148}{8}$

7 0

3 years ago

Plz i need help and plz explain

Montano1993 [528]

$\frac{ {x}^{2} - 7x + 12}{ {x}^{2} - x - 12 } \\ = \frac{ {x}^{2} - 4x - 3x + 12 }{ {x}^{2} - 4x + 3x - 12 } \\ = \frac{x(x - 4) - 3(x - 4)}{x(x - 4) + 3(x - 4)} \\ = \frac{(x - 3)(x - 4)}{(x + 3)(x - 4)} \\ = \frac{x - 3}{x + 3}$

x² - x - 12 ≠ 0

x² - 4x + 3x - 12 ≠ 0

x (x - 4) + 3 (x - 4) ≠ 0

(x + 3)(x - 4) ≠ 0

x ≠ -3 or x ≠ 4

(B)

3 0

3 years ago