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Lady bird [3.3K]
4 years ago
14

2^4 2^3 2^2 2^1 what pattern do you notice?

Mathematics
1 answer:
Scorpion4ik [409]4 years ago
5 0

Answer:

Really? The pattern is that this is probably influenced by is a negative exponential function. The pattern is that the exponent is decreased by one.

Step-by-step explanation:

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If 7/12x-1/3=1/2+3/8 what is the value of x
telo118 [61]

\dfrac{7}{12}x-\dfrac{1}{3}=\dfrac{1}{2}+\dfrac{3}{8}\\\\LCM(12,\ 3,\ 2,\ 8)=24\\\\\text{multiply both sides by 24}\\\\24\cdot\dfrac{7}{12}x-12\cdot\dfrac{1}{3}=12\cdot\dfrac{1}{2}+24\cdot\dfrac{3}{8}\\\\2\cdot7x-8=12+3\cdot3\\\\14x-8=12+9\\\\14x-8=21\qquad|\text{add 8 to both sides}\\\\14x=29\qquad|\text{divide both sides by 14}\\\\x=\dfrac{29}{14}

3 0
3 years ago
NEED HELP ASAP PLEASE!!
qwelly [4]

Option D:

$y=\frac{5x-2}{x}

Solution:

Given function:

$y=\frac{-2}{x-5}

To find the inverse of the function.

<u>Inverse of a function:</u>

<em>If a function f(x) is mapping x to y, then the inverse function of f(x) maps y back to x.</em>

$y=\frac{-2}{x-5}

Interchange the variables x and y.

$x=\frac{-2}{y-5}

Now, solve for y.

Multiply both sides by (y - 5).

$x(y-5)=-\frac{2}{y-5}(y-5)

Cancel the common factors, we get

x(y-5)=-2

Divide by x on both sides.

$y-5=-\frac{2}{x}

Add 5 on both sides.

$y=-\frac{2}{x}+5

$y=-\frac{2}{x}+\frac{5}{1}

To make the denominator same, multiply the 2nd term by \frac{x}{x}.

$y=-\frac{2}{x}+\frac{5x}{x}

$y=\frac{-2+5x}{x}

$y=\frac{5x-2}{x}

Option D is the correct answer.

8 0
3 years ago
What is the surface area of this rectangular prism?​
castortr0y [4]

Answer:

Step-by-step explanation:

2 surfaces that are 5x7

2 surfaces that are 4x7

and the top and bottom that are 4x5

2*5*7 = 70

2*4*7 = 56

2*4*5 = 40

total surface is 166 cm^{2}

8 0
3 years ago
Read 2 more answers
A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends:
Vadim26 [7]

Answer:

Correct option: fourth one -> 254 cubic inches.

Step-by-step explanation:

The volume of a cylinder is given by the equation:

Volume = \pi * radius^2 * height

To calculate the internal volume of the pipe, we should use its internal radius.

The external radius of the pipe is half of the diameter, and the internal radius is the external radius minus the thickness of the pipe, so we have:

internal\ radius = external\radius - thickness\\internal\ radius = \frac{6}{2}  - 0.75\\internal\ radius = 2.25\ in

Then, using the internal radius in the volume equation, we have that:

Volume = \pi * 2.25^2 * 16

Volume = 254.47\ in3

So the correct option is the fourth one: Volume is approximately 254 cubic inches.

5 0
3 years ago
Susan's balance in her checking account was $155.75.
myrzilka [38]
Theoretically she couldn’t spend that amount if money and thus her account balance will be negative. -61.72, to be precise.
6 0
3 years ago
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