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blagie [28]
3 years ago
13

Two equivalent ratios of 2/11

Mathematics
1 answer:
valina [46]3 years ago
8 0

4/22 and 8/44 are equivalent

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Write the explicit formula that represents the geometric sequence -2, 8, -32, 128
MissTica
So hmm the first term is -2

and if we divide one term by the term before it, we'd get the "common ratio" "r"

so hmm say -32/8 that gives us -4, so r = -4

thus \bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1r^{n-1}\qquad 
\begin{cases}
a_1=\textit{first term}\\
r=\textit{common ratio}\\
----------\\
a_1=-2\\
r=-4
\end{cases}\implies a_n=-2(-4)^{n-1}
6 0
3 years ago
A desk is 2 meters long and 1 meter wide. The desk needs to be represented in a scale drawing of an office that uses a scale of
Strike441 [17]

Answer:

<em>Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.</em>

Step-by-step explanation:

<u>Scaling</u>

The scale factor established to represent a desk 2 meters long and 1 meter wide is:

1 centimeter = 0.5 meter

We need to convert the real dimensions to the scaled dimensions. To complete the task, it's a good idea to multiply the real dimensions by the ratio:

\displaystyle \frac{1\ cm}{0.5\ m}

to get the scaled dimensions.

The length of 2 meters is scaled to:

\displaystyle 2\ m\frac{1\ cm}{0.5\ m}=4\ cm

And the width of 1 meter is scaled to:

\displaystyle 1\ m\frac{1\ cm}{0.5\ m}=2 cm

Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.

3 0
2 years ago
How to simplify please help
Luda [366]

Okay, the image is a little tough to see, but I believe it looks something like this:

(5² -10 / 17 - 3 * 4) -1

The first step [remember PEMDAS] is parentheses

Next comes Exponents:

(25 - 10 / 17 - 3 * 4) -1

Then Multiplication:

(25 - 10 / 17 - 12) - 1

Then Division [which we can't do yet since it isn't fully simplified], so we skip to Addition... nothing again, then subtraction.

(15 / 5) - 1

Then we can divide:

(3) - 1

Then subtract!

2

The answer to your problem is 2.

Hope that helps!

4 0
3 years ago
The ratio of sues age to her fathers age is 2:7 in three years their ages will total 60, how old is sue and her dad right now
USPshnik [31]
Sue is 12 and her father is 42
7 0
3 years ago
Read 2 more answers
May i know the answer for this please
Naddik [55]

Answer:

14, 16

Step-by-step explanation:

The prime factorization of 224 is 2⁵ × 7. To make it a perfect square, we need the bases to have an even exponent, therefore we divide it by 2 × 7 = 14 to get 16.

4 0
3 years ago
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