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Mice21 [21]
4 years ago
14

12 to the 16th power over 12 to the 4th power simplified.

Mathematics
2 answers:
USPshnik [31]4 years ago
5 0

Answer:

12^{12}

Step-by-step explanation:

\frac{12^{16}}{12^4}\\\\\frac{a^b}{a^c}=a^{b-c}\\\\\frac{12^{16}}{12^4}=12^{16-4}=\boxed{12^{12}}

Hope this helps.

Basile [38]4 years ago
3 0

Answer:

12^{12}

Step-by-step explanation:

Using exponent rules, we know that:

x^a \div x^b = x^{a-b}.

Since we are dividing 12^{16} by 12^4, then simplified, this totals out to 12^{16-4} or 12^{12}.

Hope this helped!

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Which of the following equations represents the line that is graphed on the coordinate grid below
vladimir2022 [97]

Answer:

C

Step-by-step explanation:

the factor of x in the equation is the slope, which is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

going from the left point to the right point x changes by +3 units, and y changes by -1 unit.

so, the slope (and factor of x in the equation) is -1/3.

and the constant term in the equation is the y (axis) intercept of the line.

this is the y value, when x = 0 (intercepting the y axis).

and we see in the graph, when x = 0, the line goes through y = 2.

so, the equation has to be

y = -1/3 × x + 2

therefore, C is the right answer.

7 0
3 years ago
1. Write an equation in slope-intercept form for a line passing through (-3,3) with a slope of 1.
PIT_PIT [208]

1)


\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})~\hspace{10em} slope = m\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-3=1[x-(-3)] \\\\\\ y-3=1(x+3)\implies y-3=x+3\implies y=x+6


2)


\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{12}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-2}{1-(-4)}\implies \cfrac{10}{1+4}\implies \cfrac{10}{5}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-2=2[x-(-4)]\implies y-2=2(x+4) \\\\\\ y-2=2x+8\implies y=2x+10

8 0
4 years ago
A company has 200 machines. Each machine has 12% probability of not working.
shutvik [7]

Answer:0.18665

2.0.00602

3.

1.0000

Step-by-step explanation:

8 0
4 years ago
is 0/8 undefined? I know 8/0 is undefined, but I need to know if 0/8 is undefined as well. (Please answer like so: 0/8 is/is not
Nata [24]
0/8 is 0
8/0 is undefined :)
3 0
4 years ago
Read 2 more answers
The length of a rectangle is six times its width. If the area of the rectangle is 486 in 2 , find its perimeter.
seraphim [82]

w - width

6w - length

486 in² - area of the rectangle

(w)(6w) = 6w² - area of the rectangle

The equation:

6w² = 486     <em>divide both sides by 6</em>

w² = 81 → w = √81

w = 9 in

l = 6w → l = (6)(9) → l = 54 in

The perimeter: P = 2l + 2w

P = 2(54) + 2(9) = 108 + 18 = 126 in

<h3>Answer: The perimeter is 126in</h3>
5 0
4 years ago
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