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bulgar [2K]
3 years ago
9

How can you use the quotient of a power property to explain the definition of x^-n?

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
7 0
X^-n duals: 1/x^n. You cannot have negative exponents so do its inverse to get rid of the negative exponent
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Julio drives to salem every 9 days and drives to Monmouth every 15 days. In how many days will he drive to both salem and Monmou
Helga [31]

Answer:

in  90 days

Step-by-step explanation:

you find the lcm of 9 and 15

6 0
3 years ago
Read 2 more answers
If 18 is 45% of a value, what is that value?
Andrew [12]

Answer:

it is 40 :)))

6 0
3 years ago
The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,
galina1969 [7]

Answer:

Range = 13

Mean = 8.3

Variance = 17.61

Step-by-step explanation:

Given the population dataset :

2, 9, 15, 4, 12, 9, 13, 6, 3, 10

1.) Range : (maximum - minimum)

Maximum = 15 ; minimum = 2

Range = (15 - 2) = 13

2.) population mean (μ) :

μ = ΣX / n

n = sample size

μ = (2 + 9 + 15 + 4 + 12 + 9 + 13 + 6 + 3 + 10) / 10

μ = 83 / 10

μ = 8.3

3.) Population variance (s²)

Σ(x - μ)² / n

=[(2 - 8.3)^2 + (9 - 8.3)^2 + (15 - 8.3)^2 + (4 - 8.3)^2 + (12 - 8.3)^2 + (9 - 8.3)^2 + (13 - 8.3)^2 + (6 - 8.3)^2 + (3 - 8.3)^2 + (10 - 8.3)^2] / 10

s² = 176.1 / 10

s² = 17.61

8 0
3 years ago
Tonya is twice Kevin's age. In three years, Tonya will be 17. And in another three years, Uncle Rob will be three times Tonya's
Nady [450]

Step-by-step explanation:

"In three years, Tonya will be 17."

14 + 3 = 17, so Tonya is 14 atm. (At The Moment)

"Tonya is twice Kevin's age." Kevin is 7, because 7 x 2 = 14.

"In another three years, Uncle Rob will be three times Tonya's age."

Since Tonya is 14, multiply 14 x 3 and you get 42.

If you're asking for the three years, 17 x 3 = 51 < Uncle Rob's age

Kevin is about 8 1/2 years old. Since 8 x 2 = 16, I multiplied 8 1/2 x 2 and got 17.

I hope this helped.

4 0
3 years ago
Solve the given system by the substitution method. <br>3x + y = 14 <br>7x - 4y = 20​
Eva8 [605]

Answer:

(4, 2 )

Step-by-step explanation:

Given the 2 equations

3x + y = 14 → (1)

7x - 4y = 20 → (2)

Rearrange (1) making y the subject by subtracting 3x from both sides

y = 14 - 3x → (3)

Substitute y = 14 - 3x into (2)

7x - 4(14 - 3x) = 20 ← distribute parenthesis and simplify left side

7x - 56 + 12x = 20

19x - 56 = 20 ( add 56 to both sides )

19x = 76 ( divide both sides by 19 )

x = 4

Substitute x = 4 into (3) for corresponding value of y

y = 14 - 3(4) = 14 - 12 = 2

solution is (4, 2 )

8 0
3 years ago
Read 2 more answers
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