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vagabundo [1.1K]
3 years ago
15

Identify the pattern rule for this sequence: 20, 80, 40, 160, 80, 320…

Mathematics
2 answers:
Elena-2011 [213]3 years ago
8 0

Answer:

multiplies by 4 then divides by 2

Step-by-step explanation:

cupoosta [38]3 years ago
4 0

Answer:

See step by step.

Step-by-step explanation:

20 * 4 = 80

80 / 2 = 40

40 * 4 = 160

160 / 2 = 80

80 * 4 =320

if x is Nth number in the sequence:

if N is odd:

x = 20 * 4^{(N-1)/2} / 2^{(N-1)/2}

if N is even:

x = 20 * 4^{(N)/2} / 2^{(N)/2-1}

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there are 3 terms no.C)

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Calculate this reflection of the triangle:
Mice21 [21]

Answer:

a = 3, b = 0, c = 0, d = -2

Step-by-step explanation:

<em>To find the reflection Multiply the matrices</em>

∵ The dimension of the first matrix is 2 × 2

∵ The dimension of the second matrix is 2 × 3

<em>1. Multiply the first row of the 1st matrix by each column in the second matrix add the products of each column to get the first row in the 3rd matrix.</em>

2. Multiply the second row of the 1st matrix by each column in the second matrix add the products of each column to get the second row of the 3rd matrix

\left[\begin{array}{ccc}1&0\\0&-1\end{array}\right]  × \left[\begin{array}{ccc}0&3&0\\0&0&2\end{array}\right]  = \left[\begin{array}{ccc}(1*0+0*0)&(1*3+0*0)&(1*0+0*2)\\(0*0+-1*0)&(0*3+-1*0)&(0*0+-1*2)\end{array}\right]=\left[\begin{array}{ccc}0&3&0\\0&0&-2\end{array}\right]

Compare the elements in the answer with the third matrix to find the values of a, b, c, and d

∴ a = 3

∴ b = 0

∴ c = 0

∴ d = -2

7 0
3 years ago
If each unit on the grid represents 1 foot, what are the lengths of each side of each leaf? Round to the nearest tenth of a foot
svlad2 [7]
The length of each side of each leaf is about 5.7.

I assume the the side you are looking for is the outside diagonal side.

To find this, you can use the Pythagorean Theorem for half the distance.

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4 + 4 = c^2
8 = c^2
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Now, multiply this by 2 because we only found half of the complete side.
The length is about 5.7 units.
5 0
3 years ago
If 450 birds have to fit into 18 enclosures, &amp; there are 3 enclosures in each section of the zoo, how many birds are in each
ANEK [815]
<h3>Answer:</h3>

There are 75 birds in each section

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

First, lets see how many in each enclosure so we have an amount to multiply by 3

450/18 = 25 birds per enclosure.

Now lets see how many birds would be in 3 enclosures i.e. a section

25 * 3 = 75

3 0
3 years ago
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