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Semenov [28]
3 years ago
13

Simplify (This is a fraction) : 9^6 over 9^7

Mathematics
1 answer:
trapecia [35]3 years ago
3 0

when 2 exponents of like bases are divided, you can subtract the exponents

1. \frac{9^6}{9^7} = \frac{1}{9}

2. \frac{9^2}{9^7} = \frac{1}{9^5}

3. 9^5 = 9^5

4. \frac{1}{9^9} = \frac{1}{9^9}

5. negative exponents mean move to opposite sides, so

\frac{1}{9^{-5}} = \frac{9^5}{1}=9^5

6. \frac{1}{9^5} = \frac{1}{9^5}

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Plz help me toofree your my only hope
grandymaker [24]
Area of a circle = πr²

Area of a circle = 3.14 x 11² = 379.94 in²

Area painted in blue = 379.94 ÷ 2 = 189.97 in²

Area painted in purple = 189.97  in²

--------------------------
Answer: 189.97 in²
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4 0
2 years ago
A cylinder and a cone have the same volume. the cylinder has a radius x and height y. the cone has a radius of 1/2 x. find the h
vovikov84 [41]

Answer:

12 y

Step-by-step explanation:

π. x².y = ⅓. π (½x) ².h

=> eliminate π,

x²y = ⅓. ¼x².h

=> eliminate x²,

y = 1/12 h

h = 12 y

so, height of the cone = 12 y

5 0
2 years ago
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 7 vinegar, and the second brand con
SOVA2 [1]

Answer:

78 ml of 7% vinegar and 312 ml of 12% vinegar.

Step-by-step explanation:

Let x represent ml of 7% vinegar brand and y represent ml of 12% vinegar brand.    

We have been given that chef wants to make 390 milliliters of the dressing. We can represent this information in an equation as:

x+y=390...(1)

y=390-x...(1)

We are also told that 1st brand 7% vinegar, so amount of vinegar in x ml would be 0.07x.

The second brand contains 12 vinegar, so amount of vinegar in y ml would be 0.12y.

We are also told that the chef wants to make 390 milliliters of a dressing that is 11% vinegar. We can represent this information in an equation as:

0.07x+0.12y=390(0.11)...(2)

Upon substituting equation (1) in equation (2), we will get:

0.07x+0.12(390-x)=390(0.11)

0.07x+46.8-0.12x=42.9

-0.05x+46.8=42.9

-0.05x+46.8-46.8=42.9-46.8

-0.05x=-3.9

\frac{-0.05x}{-0.05}=\frac{-3.9}{-0.05}

x=78

Therefore, the chef should use 78 ml of the brand that contains 7% vinegar.

Upon substituting x=78 in equation (1), we will get:

y=390-78

y=312

Therefore, the chef should use 312 ml of the brand that contains 12% vinegar.

4 0
3 years ago
Which expression is equivalent to 6x+8?<br><br> 2(3x-4)<br> 2(3x+4)<br> 2(4x+6)<br> 2(3x+8)
shepuryov [24]
It is 2(3x+4) because you distribute the 2
3 0
3 years ago
Read 2 more answers
F(x)=x^3+4x^2+x-6<br> What are the real zeros
Over [174]

Happy New Year from MrBillDoesMath!

Answer:

   1, -2, -3

Discussion:

The real roots of the polynomials are factors of the last term (6) divided by the first term (1). The factors of 6/1 or 6 are 1,2,3, and 6. I found by substitution that x= 1 was a solution, divided the polynomial by x-1, came up with a quadratic (x^2 + 5x + 6), and found the remaining roots via the quadratic formula.


Thank you,

MrB



6 0
3 years ago
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