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Ede4ka [16]
3 years ago
15

Simplify: 39w^5 - 13w^5 ​

Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

Answer:

hello :

Step-by-step explanation:

39w^5 - 13w^5 ​ = 13w^5 (3 - 1) = 26w^5

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Prove the identity with steps.
Sav [38]
Remember that a double angle formula for cosine is
\cos(2x)=\cos^{2}x-\sin^{2}x

So
\cos^{2}(2x)-\sin^{2}(2x)=\cos(4x)
\rightarrow \cos^{2}(2x)-\sin^{2}(2x)=\cos(2*2x)
\rightarrow \cos^{2}(2x)-\sin^{2}(2x)=\cos^{2}(2x)-\sin^{2}(2x)
4 0
3 years ago
Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye
svetlana [45]

Answer:

The required recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

Step-by-step explanation:

Mohamed decided to track the number of leaves on the tree in his backyard each year.

The first year there were 500 leaves

Year \: 1 = 500

Each year thereafter the number of leaves was 40% more than the year before so that means

Year \: 2 = 500(1+0.40) = 500\times 1.4\\

For the third year the number of leaves increase 40% than the year before so that means

Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\

Similarly for fourth year,

Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330

So there will be 10330 leaves in the 10th year.

3 0
3 years ago
Read 2 more answers
2. f(x) = 3(x - 2)2 + 6<br>a. Standard Form:​
Alexandra [31]

Answer:

{3x}^{2}   - 4x + 10 = 0

Step-by-step explanation:

3(x - 2) {}^{2}  + 6 \\  3 \times x {}^{2}  - 4x +  {2}^{2}  + 6 \\ 3x {}^{2} - 4x + 4 + 6 \\  {3x}^{2}   - 4x + 10 = 0

6 0
3 years ago
Sara found that the older person is, fewer cartoons that person watches.
Misha Larkins [42]

Answer:

B

Step-by-step explanation:

The scatter graph shows a decreasing correlation.

Its not A because it's a increasing correlation

its not C because it's neutral

its not D because it's a no correlation graph

4 0
3 years ago
PLEASE HELP WITH THIS ONE QUESTION
raketka [301]

Answer:

dont know

Step-by-step explanation:

sorry

8 0
3 years ago
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