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3 years ago

50 points answer the whole question please

Mathematics

2 answers:

Leviafan [203]3 years ago

7 0

Answer:

36.3636

pls mark brainliest :)

Step-by-step explanation: have a great day :)

Tomtit [17]3 years ago

4 0

Answer:

36.3636

Step-by-step explanation:

36.3636 rides

0.50 + 0.05 = 0.55

20 divided by 0.55 = 36.3636

Brainliest please

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The sum of the first 10 terms of an arithmetic sequence is 235 and the

Degger [83]

Answer:

$\bold{a_1 = -42.65}\\\\\bold{d=14.7}$

Step-by-step explanation:

The sum of the first 10 terms of an arithmetic sequence is:

$S_{10}=a_1+a_2+...+a_{10}=\dfrac{a_1+a_{10}}{2}\cdot10=\dfrac{2a_1+(10-1)d}{2}\cdot10$

$\dfrac{2a_1+(10-1)d}{2}\cdot10=235\\\\(2a_1+9d)\cdot5=235\\\\2a_2+9d=47$

the sum of the second 10 terms is: a₁₁ + a₁₂+...+ a₂₀

And the sum of the first 20 terms of an arithmetic sequence is:

$S_{20}=a_1+a_2+...+a_{10}+a_{11}+...+a_{20}=\dfrac{2a_1+(20-1)d}{2}\cdot10$

so the sum of the second 10 terms is:

$a_{11}+a_{12}+...+a_{20}=S_{20}-S_{10}$

Therefore we have:

$\dfrac{2a_1+(20-1)d}{2}\cdot10-\dfrac{2a_1+(10-1)d}{2}\cdot10=735\\\\(2a_1+19d)\cdot5-(2a_1+9d)\cdot5=735\\\\2a_1+19d-(2a_1+9d)=147\\\\10d=147\\\\d=14.7$

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$2a_1+9\cdot14.7=47\\\\2a_1+132.3=47\\\\2a_1=-85.3\\\\a_1=-42,65$

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3 years ago

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melamori03 [73]

There is a factor of 10p in each term that is common, and thus, you can take them out of each term to yield 10p(p² - 196).
Now, 196 is a perfect square. That is, there is a real number that when multiplied by itself gives 196 (14).
Since p² - 14² is a difference of two squares, we can rewrite it as (p + 14)(p - 14).

So, our factored form is 10p(p + 14)(p - 14)

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