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garri49 [273]
3 years ago
8

I need the answer please. Because I think i got mine wrong

Mathematics
2 answers:
Bumek [7]3 years ago
8 0

Answer:

a.  1 / 8^2    b. 3^3    c 1 / 6^4.

Step-by-step explanation:

We used the following rules   x^-n = 1/x^n,  

1 / x^-n = x^n

and  x^n * x^m = x^(n+m).

Gekata [30.6K]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

• a^{-m} ⇔ \frac{1}{a^{m} }

• a^{0} = 1

• a^{m} × a^{n} ⇔ a^{(m+n)}

Given

(a)

8^{-2} = \frac{1}{8^{2} }

(b)

\frac{1}{3^{-3} } = 3³

(c)

6^{-12} × 6^{8} × 6^{0}

= 6^{(-12+8)} × 1

= 6^{-4}

= \frac{1}{6^{4} }

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Which series of transformations will not map figure Q onto itself? (x + 2, y − 2), reflection over y = x − 1 (x − 2, y + 2), ref
raketka [301]

b Step-by-step explanation:

this is super easy

7 0
3 years ago
What is the discount of a guitar with an original price of $95 and a discount of 15%.
maks197457 [2]

Answer:

$80.75 dollars

Step-by-step explanation:

Given the following question:
Initial price = $95
15% discount

In order to find the answer, we have to find 15% of 95.

\frac{15\times95}{100} =15\times95=1425\div100=14.25
95-14.25=80.75
g=80.75

The guitar (after a 15% discount) costs "$80.75 dollars."

Hope this helps.

7 0
3 years ago
The perimeters of similar triangles are in the same ratio as the corresponding sides
wariber [46]

Answer:

Always

Step-by-step explanation:

Suppose you have triangle ABC with side lengths a, b, c. Suppose that is similar to triangle DEF with side lengths d, e, f.

Now, let k be the ratio of corresponding sides ...

  k = d/a

Because the same factor applies to all sides, we also have ...

  k = e/b = f/c

That is, if we multiply by the denominators of each of these fractions, we get ...

  • d = a·k
  • e =b·k
  • f = c·k

The perimeter of ΔABC is ...

   perimeter(ABC) = a + b + c

The perimeter of ΔDEF is ...

  perimeter(DEF) = d + e + f = a·k + b·k + c·k

  perimeter(DEF) = k(a + b + c) = k·perimeter(ABC)

  k = perimeter(DEF)/perimeter(ABC)

That is, the perimeters are in the same ratio as corresponding sides.

3 0
3 years ago
The number of students in an school building that have the flu after t days is given by the function
gulaghasi [49]

Step-by-step explanation:

p(0) =  \frac{800}{1 + 49 {e}^{ - 0.2 \times 0} }  =  \frac{800}{1 + 49}  =  \frac{800}{50}  = 16

200 =  \frac{800}{1 + 49 {e}^{ - 0.2t} }  \\ 200(1 + 49 {e}^{ - 0.2t} ) = 800 \\ 200 + 9800 {e}^{ - 0.2t}  = 800 \\ 9800 {e}^{ - 0.2t}  = 600 \\  {e}^{ - 0.2t}  =  \frac{3}{49}  \\  ln( {e}^{ - 0.2t} )  =  ln( \frac{3}{49} )  \\ -  0.2t =  - 2.793 \\ t = 13.96 = 14

6 0
3 years ago
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