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Nataliya [291]
3 years ago
14

Which expression is equivalent to the given expression?(12g^2h^7)(3g^-2h^-4)​

Mathematics
1 answer:
tino4ka555 [31]3 years ago
3 0

Answer:

B

Step-by-step explanation:

(12g²h⁷)(3g⁻²h⁻⁴) = 12 * 3 * g²⁺⁽⁻²⁾ * h⁷⁺⁽⁻⁴⁾

                            = 36 * g⁰ * h³

                            = 36 * 1 * h³

                            = 36h³

Any variable or constant to the power of zero is 1

a⁰ = 1 ;    12⁰ = 1  ;   (-5)⁰ = 1

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Six less than the quotient of a number and 4 is 15.
Artist 52 [7]

Answer:6 ÷ 4x = 15

Step-by-step explanation:

six is less than the quotient and quotient mean division, replace a number with a variable and put it with four and the you would put equal 15

8 0
4 years ago
Read 2 more answers
A principal of $4700 was invested at 4.75% interest, compounded annually.
Kitty [74]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

y = P(1 + r/n)^nt

Where

y = the value of the investment at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount invested

From the information given,

P = $4700

r = 4.75% = 4.75/100 = 0.0475

n = 1 because it was compounded once in a year.

Therefore, the exponential function showing the relationship between y and t is

y = 4700(1 + 0.0475/1)^1 × t

y = 4700(1.0475)^t

7 0
3 years ago
The Length of a rectangle is 5 centimeters less than twice its width . The perimeter of the rectangle is 80cm. What are the dime
borishaifa [10]
Perimeter is the sum of all a shapes sides.

with that in mind, we know a rectangle has four sides. with 2 pairs being the same.

The length as told is, 5 centimeters less than two times the width. Two times the width would be 2w and five less than that would be minus five. so the length is 2w - 5

now to find the perimeter we do two times the width + two times the length.

2w + 2(2w -5) = 80.
Distribute: 2w + 4w - 10 = 80
Add ten to both sides and combine the 2w & 4w:
6w = 90
Divide both sides by 6: w = 15.

with this we know the width is 15. to find length plug in 15 to the 2w - 5 equation.

2(15) - 5 = 30 - 5 = 25.

Slap on the units and width = 15 cm, length = 25 cm


7 0
4 years ago
A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude o
aliya0001 [1]

Answer:

x\geq 29,000 and x\leq 41,000

Step-by-step explanation:

Let x be the altitude of a commercial aircraft

=>The expression " A minimum altitude of 29,000 feet" is equal to

x\geq 29,000

All real numbers greater than or equal to 29,000 ft

=>The expression " A maximum altitude of 41,000 feet" is equal to x\leq 41,000

All real numbers less than or equal to 41,000 ft

therefore, The compound inequality is equal to

x\geq 29,000 and x\leq 41,000

All real numbers greater than or equal to 29,000 ft and less than or equal to 41,000 ft

The solution is the interval [29,000,41,000]

8 0
4 years ago
Which of the expressions are equivalent
Monica [59]

The one that is checked

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And can you help me

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3 years ago
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