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Xelga [282]
2 years ago
11

Simplify the following3to the exponents 18devided by3to the exponents 15​

Mathematics
1 answer:
Oliga [24]2 years ago
3 0

Answer:

27

Step-by-step explanation:

\frac{3^{18} }{3^{15} }

3^{18-15}

3^{3}

27

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The probability of randomly selecting a female from a group of 25 elementary school teachers is . Which of the following describ
nirvana33 [79]

Answer:

it is likely that a female will be picked

Step-by-step explanation:

the probability of selecting a female = 21/25....or 84%

7 0
2 years ago
Ben drove 230 kilometers in 3 hours, and Pia drove 250
Drupady [299]

9514 1404 393

Answer:

  Pia drove faster

Step-by-step explanation:

Speed is the ratio of distance to time. If the time is the same, the greater distance is associated with the greater speed.

Pia drove farther in 3 hours, so drove faster.

3 0
2 years ago
Is the solution of this equation extraneous?
UkoKoshka [18]

Answer:

x = - 3 is extraneous

Step-by-step explanation:

Given

\sqrt{x+7} - 1 = x  ( add 1 to both sides )

\sqrt{x+7} = x + 1 ( square both sides )

x + 7 = (x + 1)² ← distribute right side

x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )

0 = x² + x - 6 ← in standard form

0 = (x + 3)(x - 2) ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = - 3 : \sqrt{-3+7} - 1 = \sqrt{4} - 1 = 2 - 1 = 1 ≠ - 3

x = 2 : \sqrt{2+7} - 1  = \sqrt{9} - 1 = 3 - 1 = 2

x = 2 is a solution and x = - 3 is extraneous

6 0
3 years ago
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