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sammy [17]
3 years ago
15

What is the first term of the geometric sequence whose fifth term is 1/24 and tenth term is 1/768

Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0
An=a1r^(n-1)

given
a5=1/24
a10=1/768

we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)

so
1/24=a1r^4
1/768=a1r^9

(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32

r^5=1/32
take 5th root of both sides
r=1/2

we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3

the first term is 2/3



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What are the factors of 7x + 5x + 12 + 23
emmainna [20.7K]

Answer:

7, x, 5, and x

Step-by-step explanation:

factors are numbers or variables being multiplied by something else. 12 and 23 arent being multiplied by anything

4 0
3 years ago
-2 divided by 1/4 please show your work
Aneli [31]
-2 / 1/4
If you are dividing you have to switch 1/4 to 4/1

-2/1  / 4/1
= -8
Hope this helped
6 0
3 years ago
I don’t know how to do any of this
mojhsa [17]

Answer:

The length of x in #1 is 15.57

Step-by-step explanation:

Let's use #1 as an example to teach show you how to do this. In a right triangle we can solve these using trig. In this particular one, we have the measure adjacent to the angle and we are looking for the one opposite of the angle. So we look at all the trig functions and select the one that uses both of those two terms.

Sinα = Opp/Hyp

Tanα = Opp/Adj

Cosα = Adj/Hyp

As you can see, Tan is the function we are looking for. So we plug in all known information into that equation.

Tanα = Opp/Adj -----> Plug in known values

Tan(60) = x/9 ----->Calculate out the trig function

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15.57 = x

3 0
2 years ago
Evaluate f(x) = -4x - 5 for x = -1. <br><br> A. -9<br> B. -1<br> C. 1<br> D. 4
Nadusha1986 [10]
F(x) = -4x - 5

Subtitute the value of x to the equation:

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7 0
3 years ago
Read 2 more answers
The equation x^2 + y^2 + 21 = 40 + 18y. What is the radius of this cookie?​
trapecia [35]

Answer:

The radius is 10

Step-by-step explanation:

Given

x^2 + y^2 + 21 = 40 + 18y.

Required

The radius

Rewrite as:

x^2 + y^2 - 18y = 40-21

Subtract 81 from both sides

x^2 + y^2 - 18y +81= 40-21+81

Expand

x^2 + y^2 - 9y - 9y +81= 40-21+81

Factorize

x^2 + y( y- 9) - 9(y -9)= 40-21+81

Factor out y - 9

x^2 + (y- 9) (y -9)= 40-21+81

Express as squares

x^2 + (y- 9)^2= 100

x^2 + (y- 9)= 10^2

The equation of a circle is:

(x - a)^2 + (y- b)= r^2

By comparison:

r^2=10^2

r = 10

6 0
3 years ago
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