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mina [271]
3 years ago
5

What value of n solves the equation 3^n=1/81 ? = A. –243 B. –27 C. –4 D. 4

Mathematics
1 answer:
meriva3 years ago
8 0
The solution is n=-4.
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Fynjy0 [20]

Answer:

Slope = -3

y-intercept = (0,-4)

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Step-by-step explanation:

We can take any two input-output pairs from the table to find the equation of given function.

Linear function is given by:

y =mx+b

Here m is the gradient of the functions which is defined as:

m = \frac{rise}{run} = \frac{y_2-y_1}{x_2-x_1}

The input-output pairs are:

(x1,y1) = (-1,-1)

(x2,y2) = (0,-4)

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m = \frac{-4-(-1)}{0-(-1)}\\= \frac{-4+1}{1} = -3

Putting the value of slope in the equation

y = -3x+b

Putting (-1,-1) in the equation

-1 = -3(-1)+b\\-1 = 3+b\\b = -1-3\\b = -4

The equation will be:

y = -3x-4

Hence,

Slope = -3

y-intercept = (0,-4)

Equation: y = -3x-4

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Step-by-step explanation:

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Tan 47 = Opp/Adj

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x*Tan 47 = 25

x = 25/Tan 47

x = 23.3128772 ≈ 23.31 ft (to 2 d.p)

7 0
3 years ago
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