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Nesterboy [21]
2 years ago
7

1. What is the ratio of black to white squares? (1 mark) I

Mathematics
2 answers:
irakobra [83]2 years ago
8 0
<h2>Answer:</h2>

2 : 4

<h3>Simplified Answer:</h3>

1 : 2

<h3>Step-by-step explanation:</h3>

black to white squares

theirs <u>2 black</u> squares and <u>4 whites</u>

put 2 first because its (black) to white

so we would have 2 : ? now we add the four to the other side

now we have <u>2 : 4</u>

to simplify it we can half <u>both</u> sides witch will get us <u>1 : 2</u>

<u></u>

<h3>Note:</h3><h3>Hope it helps!</h3><h3 />
kati45 [8]2 years ago
6 0

im sure it would be 2:4. if it was to be simplified it would be 1:2

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Answer: The correct answer is Choice D.

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0.24 x 32 = 7.68

7.68 ounces of the snack mix will be pretzels.
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Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the
velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is <em>x, x</em> + 2, and <em>x </em>+ 3.

So, our first term is <em>x</em>.

Then our second term will be our first term multiplied by the common ratio <em>r</em>. So:

x+2=xr

And our third term will be our first term multiplied by the common ratio <em>r</em> twice. Therefore:

x+3=xr^2

Solve for <em>x</em>. From the second term, we can divide both sides by <em>x: </em>

\displaystyle r=\frac{x+2}{x}

Substitute this into the third equation:

\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2

Square:

\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)

Simplify:

\displaystyle x+3=\frac{(x+2)^2}{x}

We can multiply both sides by <em>x: </em>

x(x+3)=(x+2)^2

Expand:

x^2+3x=x^2+4x+4

Isolate the <em>x: </em>

-x=4

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x=-4

Then our common ratio <em>r</em> is:

\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of <em>x</em>, <em>x</em> + 2, and <em>x</em> + 3.

So, our fifth term is -1/4.

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3 years ago
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The first step is to locate the points of the vertices in a plane, in this case they are (0.10), (-8.8) and (-3.5). The desmostration of this is shown in the attached image.

As we can see it is formed a right triangle (the figure outlined in red), and the rigth angle is the one at the point (-3,5).

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Now, using the natural logaritm rule:

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