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nika2105 [10]
3 years ago
6

Solve and type in a different form by using the given theorems of logarithms

Mathematics
1 answer:
scoray [572]3 years ago
4 0

\log\left(\frac{10}{y}\right) = \log(10) - \log(y)

The general rule is

\log\left(\frac{A}{B}\right) = \log(A) - \log(B)

Other log rules are

\log(AB) = \log(A) + \log(B)

B\log(A) = \log(A^B)

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a sign says that the price marked on all music equipment is 30% off the original price you buy an electric guitar for sale price
prohojiy [21]

The original price is $450.

<u>Step-by-step explanation:</u>

Step 1:

Given details, Discount%, D% = 30 and Selling Price, SP = $315

Step 2:

Write down formula for calculating the Original Price

Selling Price (SP) = Original Price (OP) - Discount (D)

Discount (D) = Original Price (OP) * (D%/100)

Step 3:

Substitute given values in the formula

315 = OP - D

D = OP \times30/100

D = 0.3 OP

Step 4:

Substitute value of D in the first formula

315 = OP - 0.3 OP

315 = OP (1 - 0.3) = 0.7 OP

Original Price, OP = 315/0.7 = $450

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4 years ago
What is the slope of the line that contains the points (-1,-1) and (3, 15)?
DanielleElmas [232]

Answer:

its b

Step-by-step explanation:

7 0
3 years ago
What is the probability that a point chosen at random in the regular hexagon lies in the shaded region? A 1/3 B 2/5 C 1/2 D 2/3
kondaur [170]
Answer: option A) 1/3

Justification:

1) The probability that a point chosen at random <span>in the regular hexagon lies in the shaded region is equal to:

  area of the shaded region
---------------------------------------
     area of the hexagon

2) The hexagon is formed by 6 equal triangles and the shaded area is formed by 2 of those triangles.

3) Therefor,naming x the area of one triangle, the the above fraction is equal to:

  area of two triangles           2x        
------------------------------- =    --------   = 2/6 = 1/3
  area of six triangles            6x

And that is the answer: 1/3
</span>
8 0
4 years ago
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How would you write 6 × 6 × 6 × 6 as an exponential expression?
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