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3 years ago

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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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

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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.

2^2 + 2^2 = c^2
4 + 4 = c^2
8 = c^2
2.828 = c

Now, multiply this by 2 because we only found half of the complete side.
The length is about 5.7 units.

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3 years ago

If 450 birds have to fit into 18 enclosures, & 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

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3 years ago