1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SIZIF [17.4K]
2 years ago
6

How to solve: 3*9^(2n) = (3^(n +1))^3

Mathematics
2 answers:
vova2212 [387]2 years ago
8 0
3×9
n+1
−9×3
2n

​


=
3×3
2n+3
−(3
2
)
n+1

3×(3
2
)
n+1
−3
2
×3
2n

​


=
3
1+2n+3
−3
2n+2

3
1+2n+2
−3
2+2n

​


=
3
4+2n
−3
2n+2

3
3+2n
−3
2+2n

​


=
3
2n
(3
4
−3
2
)
3
2n
(3
3
−3
2
)
​


=
81−9
27−9
​


=
72
18
​


=
4
1
​
mixer [17]2 years ago
3 0

Answer:

3

Step-by-step explanation:

3*9^(2n) = (3^(n +1))^3

= 3×9^0^3

= 3×9^0

= 3×1

= 3

You might be interested in
What is cos^{-1} (0.393) [/tex]
alexgriva [62]
Acos(0.393)=66.85˚
Use cos^{-1} (0.393) to solve
4 0
3 years ago
Twice the quantity b plus 9
mojhsa [17]

Answer:

2b+9

Step-by-step explanation:

Twice the quantity b is 2*b = 2b

...and then you add 9 which is:

2b+9

5 0
3 years ago
The product of the square of a number x and 2 subtracted from 3 is y.
lozanna [386]

The algebraic expression for the given statement is: 2x² - 3 = y.

<h3>How to Write an Algebraic Expression?</h3>

To wrote an algebraic expression is translate a statement using numbers, variables, and mathematical sign into a mathematical statement.

Square of x is: x²

Product of x² and 2 is: 2x²

Thus, we would have:

2x² - 3 = y

The algebraic expression is: 2x² - 3 = y.

Learn more about algebraic expression on:

brainly.com/question/2164351

#SPJ1

5 0
2 years ago
The time required to do a job varies inversely as the number of people working. It takes 5hr for 7 bricklayers to build a park w
ExtremeBDS [4]

<u>Answer</u>

3.5 hours.


<u>Explanation</u>

The first step is to calculate the constant of proportionality.

t ∝ 1/n

t = k/n   Where t = time, K= constant and n = number of people

t = k/n

k =tn

   = 5×7 = 35

The equation becomes;

t = 35/n

for n = 10,

t = 35/10

  t = 3.5 hours.

6 0
3 years ago
What is the equation of line l?
inessss [21]
Y=-3/2L -2. At the Y axis, line L is at -2, so we add that as B or the Y intercept. We can see that the graph goes 2 over to the right and down three, which makes the slope negative and 3/2 (rise/run)
5 0
4 years ago
Other questions:
  • Rewrite the equation by completing the square.<br> x^{2} +7 x +12 = 0
    7·2 answers
  • If x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3), then which statement is true? A. x + 12 ≤ 2(5 − y) B. x + 12 ≤ 2x − 3 C. x + 12 ≤ 2(x −
    9·2 answers
  • Select all of the expressions that equivalent to 4 radical 5​
    11·1 answer
  • Easy prealgebra.. really struggling!
    9·1 answer
  • Latrell has $8 to spend on postcards. He wants to buy one large postcard and some small ones. Write an inequality to determine h
    15·1 answer
  • Lynn is tracking the progress of her plant's growth. Currently the plant is 11 The plant grows 1.2 cm per day. Find an equation
    8·2 answers
  • 11. After drinking a few sips of your favorite soda, your brother hands back the can
    15·1 answer
  • Help meeeeeeeeeeeeedsddsss9
    11·1 answer
  • A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the
    7·1 answer
  • How much water must be evaporated from a 70 oz, 15% saline solution to produce a 25% saline solution? Round your final answer to
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!