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vladimir1956 [14]
2 years ago
13

Find the 10th term of the geometric sequence whose common ratio is 2/3 and whose first term is 3.

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
5 0

Answer:

\frac{512}{6561}

Step-by-step explanation:

1) if according to the condition a₁=3 and r=2/3, then a₁₀ can be calculated as:

a₁₀=a₁*r⁹;

2) according  to the rule above:

a₁₀=3*(2/3)⁹=512*3/(6561*3)=512/6561.

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I am having a conflict with my family what is 7-1×0+3÷3 = ?
ryzh [129]
Follow PEMDAS.

Parenthesis
Exponents
Multiplication & Division
Addition & Subtraction

Alright, do multiplication first, then division. Then, do subtraction then addition.

7-1*0+3/3= \\ 7-0+3/3= \\ 7 - 0 + 1= \\ 7 + 1 = 8 \\ 7-1*0+3/3 =8

Hope this helped!
6 0
3 years ago
A cylindrical barrel has a radius of 7.6ft and height of 10.8ft. Tripling which dimensions will triple the volume of the barrel?
noname [10]
If you triple the height of a barrel the dimensions will triple i belive.
3 0
3 years ago
Select the two binomials that are factors of this trinomial x^20 - x - 20
Mashcka [7]

Answer:

(x-5)(x+4)

Step-by-step explanation:

To factor the equation, break it into two binomials which multiply to make the equation. To write these binomials (x+a)(x+b), find factors which multiply to -20 and add to -1 for a and b.

20: 1, 2, 4, 5, 10, 20

-5+4 = -1

x^2-x-20 = (x-5)(x+4)

8 0
3 years ago
One less than half a number is 12. What is the number
olga_2 [115]
To find this, turn the word question into an equation.
"One less than" means - 1, which is 1 being subtracted from something.
"half a number" means 1/2x, since 1/2 is half and x is unknown.
"is 12" means = 12, which is something equals 12.
Putting this in order would be 1/2x, then - 1, then = 12.
As an equation, this is 1/2x - 1 = 12.
So the equation is 1/2x - 1 = 12

Now you must find the number by solving this equation.
1/2x - 1 = 12
First, add 1 to both sides.
12 + 1 = 13
1/2x = 13
Now multiply both sides by 2.
This way, x will be isolated since 1/2x • 2 = 1x, and 1x = x.
13 • 2 = 26
x = 26
The number is 26.
6 0
2 years ago
Don’t understand please help asap
IceJOKER [234]

First you have to solve both inequalities,

3x-1>8

3x>9

x>3

and the other one

2x≤4

x≤2

then you graph each one on the number line

the graph says or, so the solution can satisfy either equation

the solution would be all real numbers except three

the way to write it is x≠3

3 0
3 years ago
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