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3 years ago

Write in exponential notation

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

6 0

Answer:

12^5

Step-by-step explanation:

12^5 means 12*12*12*12*12 (5 twelves)

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I have to turn this in by tonight

Artist 52 [7]

Answer:

x = -11

Step-by-step explanation:

Convert fraction into negative exponential form: $(36^-^1)^x^-^4=(216^-^1)^x^+^1\\$

Simplify using exponent power rule: $(a^n)^m=a^n^m:36^-^x^+^4=216^-^x^-^1$

Convert both sides of the equation into terms with same base: $(6^2)^-^x^+^4=(6^3)^-^x^-^1$

Simplify using exponent power rule:

$(a^n)^m=a^n^m:6^-^2^x^+^8=6^-^3^x^-^3$

Based on the given conditions, corresponding exponents are equal:

$-2x=8=-3x-3$

Rearrange unknown terms to the left side of the equation:

$-2x+3x=-3-8$

Combine like terms: $x=-3-8$

Calculate the sum or difference: $x = -11$

Thurs, x = -11

[RevyBreeze]

5 0

2 years ago

What is 8x68 *******==

madreJ [45]

8 times 68 is 544 i hope i helped

6 0

3 years ago

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David and Carlo ran laps to train for the long-distance running team. The ratio of the number of laps David ran to the number of

weeeeeb [17]

Answer:

Carlo ran 33.3% of the miles.

Step-by-step explanation:

It sounds like David ran 2 laps for every 1 lap that Carlo ran. So, for every 1 mile that Carlo ran, David ran 2 miles, which means if you add both miles together: 1 mile (Carlo) + 2 miles (David) = 3 miles, that Carlo ran 1/3 of the miles, and David ran 2/3 of the miles. In percentages, it means Carlo ran 1/3=0.333 or 33.3% and David ran 2/3=0.666 or 66.6%

8 0

3 years ago

I need help pls pls pls pls

nignag [31]

Answer:

9(w+8) factor 9

Step-by-step explanation:

factor expression

9w+72 divide both side by 9

9/9w+72/9

w+8

7 0

3 years ago

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Zane received a quote to move his belongings to his new house. The estimate from

erik [133]

9514 1404 393

Answer:

packing: $50 per hour
loading: $75 per hour
packing LCM: 12; loading LCM: 15

Step-by-step explanation:

We can let P and L represent the hourly costs of packing and loading, respectively. The two estimates can be represented by the equations ...

6P +5L = 675

4P +3L = 425

The LCM of the coefficients of P is LCM(6, 4) = 12.

The LCM of the coefficients of L is LCM(5, 3) = 15.

Each LCM is the product of the numbers, divided by their greatest common factor. For 4 and 6, the product is 24, and both even numbers have a factor of 2, so the LCM of 4 and 6 is 24/2 = 12. The numbers 3 and 5 have no common factors, so the LCM is simply their product.

_____

The LCM is useful if you're going to solve the equations by "elimination". Here, the LCM of 12 means we can eliminate P by making its coefficient be 12 in both equations. Multiplying the first equation by 2, we can subtract 3 times the second equation to eliminate P:

2(6P +5L) -3(4P +3L) = 2(675) -3(425)

12P +10L -12P -9L = 1350 -1275

L = 75 . . . . . simplify

Similarly, we can eliminate L by making its coefficients be 15.

5(4P +3L) -3(6P +5L) = 5(425) -3(675)

20P +15L -18P -15L = 2125 -2025

2P = 100 . . . . simplify

P = 50 . . . . . . divide by 2

The hourly rates are ...

$50 per hour for packing

$75 per hour for loading

7 0

3 years ago

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