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RSB [31]
2 years ago
13

Tyler simplified the expression x³y9. His procedure is shown below.

Mathematics
1 answer:
V125BC [204]2 years ago
5 0

Answer:

  (b) both powers should be in the denominator with positive exponents

Step-by-step explanation:

The applicable rule of exponents is ...

  a^-b = 1/a^b

__

The correct simplification is ...

  x^{-3}y^{-9}=\dfrac{1}{x^3}\cdot\dfrac{1}{y^9}=\boxed{\dfrac{1}{x^3y^9}}

Both variables should have positive exponents in the denominator.

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An adult soccer league requires a ratio of at least 2 women per 7 men on the roster. If 14 men are on the roster, how many women
Snezhnost [94]

Answer:

Atleast 4 women

Step-by-step explanation:

Ratio of

Women to men = 2 : 7

Number of women needed to maintain the ratio if there are 14 men on the roster :

The minimum number of women required :

(2 : 7) * number of men in roster

(2 / 7) * 14

2 * 2 = 4 women

Atleast 4 women are required to main the ratio

7 0
3 years ago
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?
MA_775_DIABLO [31]

Answer:

The answer is X=10

Step-by-step explanation:

3x10 = 30

30+6 = 36

36x10 =360 (10 represents how many sides the shape has)

All exterior angle add up to 360 degrees.

5 0
3 years ago
11 billion in scientific notation
saw5 [17]
11000000000
1.1 x 10^10

Billion has 9 zeros.
4 0
3 years ago
Read 2 more answers
FIND Y OF THIS CIRCLE.
kotegsom [21]

Answer:

  y = 116

Step-by-step explanation:

The central angle is double any inscribed angle that intercepts the same arc.

Inscribed angle HGF intercepts arc HF, so central angle HOF will be double the value of HGF.

  2×58° = 116° = y°

  y = 116

6 0
3 years ago
Between what two integers does √98 lie?
katovenus [111]

one way is this:

if the 2 integers are x and y, then

x<√98<y

if we assume that x and y aer both positive then

square everybody

x²<98<y²

solve each


x²<98

square root both sides

x<9.89

since x must be an integer, x=9


98<y²

squaer root both side

9.89<y

since y must be an integer, y=10


√98 lies between 9 an 10

4 0
3 years ago
Read 2 more answers
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