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Whitepunk [10]
3 years ago
8

---------------------------------------------------------------------------------------- 10x10?

Mathematics
2 answers:
statuscvo [17]3 years ago
4 0
100
------------------------------------------------------------------------
a_sh-v [17]3 years ago
3 0
10x10=100
------------------------------------ :))
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Given a term and the common difference, find the explicit formula.<br> 8. a(19) = 135<br> d = 15
Rasek [7]

The explicit formula is a(n) = 15(n – 10)

<u>Solution:</u>

Given, a term a(19) = 135 and common difference d = 15

We have to find the explicit formula.

Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,

So, for a(19)  

\begin{array}{l}{\rightarrow a(19)=a+(19-1) 15} \\\\ {\rightarrow 135=a+18 \times 15} \\\\ {\rightarrow a=135-270} \\\\ {\rightarrow a=-135}\end{array}

Now, we know that, an explicit formula is an expression for finding the nth term,  

So, in our problem, expression for finding nth term is a + (n – 1)d  

\begin{array}{l}{\rightarrow-135+(n-1) 15} \\\\ {\rightarrow-135+15 n-15} \\\\ {\rightarrow 15 n-150} \\\\ {\rightarrow 15(n-10)}\end{array}

Hence, the explicit formula is a(n) = 15(n – 10).

7 0
3 years ago
Simplify (use only positive exponents) : (3y^10)(2y^2)/8y^5
nadezda [96]
When multiplying variables with exponents, all you have to do is to add the exponents and that’s the ‘product.’

So;

(3y^10)(2y^2) is equal to (3)(2)(y^10+2).

6y^12/8y^5


When dividing exponents, you do the opposite and subtract the exponents. And you divide the whole number by half.


6y^12/8y^5 = 3y^7/4

5 0
3 years ago
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