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galina1969 [7]
3 years ago
5

What is the common ratio of the geometric sequence 16, 24, 36, 54, ...?

Mathematics
1 answer:
erastovalidia [21]3 years ago
8 0

Answer:

B

Step-by-step explanation:

16 x 3/2 = 24

24 x 3/2 = 36

36 x 3/2 = 54

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What is the value of AAA when we rewrite \left(\dfrac {6}{17}\right)^{9x}( 17 6 ​ ) 9x (, start fraction, 6, divided by, 17, end
sineoko [7]

We have been given an expression \left(\dfrac {6}{17}\right)^{9x}. We are asked to find the value of A when rewrite our given expression as A^{x}.

To solve our given problem, we will use exponent properties.

Using exponent property a^{mn}=(a^m)^n, we can rewrite our given expression as:

\left(\dfrac {6}{17}\right)^{9x}=\left(\left(\dfrac {6}{17}\right)^9\right)^{x}

Now, we will compare our expression with  A^{x}.

Upon comparing \left(\left(\dfrac {6}{17}\right)^9\right)^{x} with A^{x}, we can see that A=\left(\dfrac {6}{17}\right)^9.

Therefore, the value of A is \left(\dfrac {6}{17}\right)^9.

We can further simplify \left(\dfrac {6}{17}\right)^9 as:

\left(\dfrac {6}{17}\right)^9=\frac {6^9}{17^9}=\frac{10077696}{118587876497}

6 0
3 years ago
Find percent notation for the fraction notation in the sentence given below.
Kruka [31]
9/20 = .45

41/100 = .41
8 0
3 years ago
Evaluate f(x) = –x2 + 1 for x = –3. –9 4 –4 –8
Klio2033 [76]

Answer:

-63

Step-by-step explanation:

Write the problem as a mathematical expression.

f(x)=-x^2+1  for x =3-9 4-4-8

Simplify  4−4−8  to substitute in f(x)=−x^2+1

Subtract  4  from 4

0-8

Subtract  8  from 0

-8

Replace the variable  x  with  −

8  in the expression

f(-8)=-(-8)^2+1

Simplify

f(-8)=-64+1

f(-8)=-63

Answer = -63

Plz give me Brainliest if you can, hope this helps.

5 0
3 years ago
Read 2 more answers
Please answer this correctly without making mistakes
katrin2010 [14]

Answer:

16 km

Step-by-step explanation:

Given:

Distance from Washington to Stamford = distance from Washington to Salem + distance from Salem to Stamford = 10.3 km + 11.9 km = 22.2 km

Distance from Washington to Oakdele = 6.2 km

Required: the difference between the distance from Washington to Stamford and from Washington to Oakdele

Solution:

Distance from Washington to Stamford = 22.2 km

Distance from Washington to Oakdele = 6.2 km

The difference = 22.2 km - 6.2 km = 16 km

Therefore, from Washington, it is 16 km farther to Stamford than to Oakdele.

8 0
3 years ago
Write the quotient and the remainder for the following (x²-10x+24)÷(x+6)<br>solve and answer plz ​
elena-s [515]

Answer:

On dividing, we found that the quotient is (x-4) and the remainder is equal to 0.

Step-by-step explanation:

We need to find the quotient and the remainder for the following (x²-10x+24)÷(x+6).

The numerator is (x²-10x+24) and the denominator is (x+6). It can be written as :

\dfrac{x^2-10x+24}{x+6}=\dfrac{(x-4)(x-6)}{(x+6)}\\\\=(x-4)

On dividing, we found that the quotient is (x-4) and the remainder is equal to 0.

7 0
2 years ago
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