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2 years ago

Rewrite using a single exponet 7^3·7^3

Mathematics

1 answer:

Vinvika [58]2 years ago

8 0

Answer:

$7^{6}$

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$ , then

$7^{3}$ × $7^{3}$ = $7^{(3+3)}$ = $7^{6}$

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A geometric sequence is defined by the equation an = (3)3 − n.

Delvig [45]

PART A

The geometric sequence is defined by the equation

$a_{n}=3^{3-n}$

To find the first three terms, we put n=1,2,3

When n=1,

$a_{1}=3^{3-1}$

$a_{1}=3^{2}$

$a_{1}=9$
When n=2,

$a_{2}=3^{3-2}$
$a_{2}=3^{1}$

$a_{2}=3$

When n=3

$a_{3}=3^{3-3}$

$a_{3}=3^{0}$
$a_{1}=1$
The first three terms are,

$9,3,1$

PART B

The common ratio can be found using any two consecutive terms.

The common ratio is given by,
$r= \frac{a_{2}}{a_{1}}$
$r = \frac{3}{9}$

$r = \frac{1}{3}$

PART C

To find
$a_{11}$

We substitute n=11 into the equation of the geometric sequence.

$a_{11} = {3}^{3 - 11}$

This implies that,

$a_{11} = {3}^{ - 8}$

$a_{11} = \frac{1}{ {3}^{8} }$

$a_{11}=\frac{1}{6561}$

4 0

3 years ago

Plases help<br> Determine the number of solutions of each system of equations.

koban [17]

Answer:

Step-by-step explanation:

this is the same equation, the system has infinitely many solutions

5 0

2 years ago

Rain fell on four days in June. These amounts were recorded: 5 mm, 9 mm, 2 cm, and 2.6 cm. What was the total rainfall for June?

ivolga24 [154]

Hello there

The correct answer in mm would be 60 mm

1 cm = 10 mm

So it would 5+9+20+26 = 60

In cm it would be 6 cm

10 mm = 1 cm

.5+.9+2+2.6 = 6

I hope this helped ^^

8 0

3 years ago

A square room has a tiled floor with 81 square tiles. How many tiles are along an edge of the room?

Sladkaya [172]

Answer:

36 tiles

Step-by-step explanation:

Because the room is square, the numbers of tiles along the edge of the room were multiplied by the same number, meaning that:

81 = x²

So to find x, we must square root both sides of the equation:

$\sqrt{81} = \sqrt{x^2}$

x = 9

So the length of one side is 9 tiles. Now to calculate the circumference, as each side of a square is the same length, we can multiply this number by 4:

9 * 4 = 36

So there are 36 tiles along the edge of the room.

Hope this helps!

4 0

2 years ago

14 points please guys

miv72 [106K]

9 inches
Step By Step
3 1\10

3 0

3 years ago