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Blizzard [7]
3 years ago
10

3(5 √3 + 3 √3) simplified

Mathematics
1 answer:
AleksandrR [38]3 years ago
3 0
3(5 √3 + 3 √3) simplified would be  24√3
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Please show me step by step how to do this
Stels [109]

Answer:

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

Step-by-step explanation:

The statement describes an arithmetic progression, which is defined by following formula:

p(n) = p_{1}+r\cdot (n-1) (1)

Where:

p_{1} - First element of the sequence.

r - Progression rate.

n - Index of the n-th element of the sequence.

p(n) - n-th element of the series.

If we know that p_{1} = 1, n = 2 and p(n) = 5, then the progression rate is:

r = \frac{p(n)-p_{1}}{n-1}

r = 4

The set of elements of the series are described by p(n) = 1 + 4\cdot (n-1).

Lastly, if we know that n = 300, then the 300th term of the sequence is:

p(n) = 1 + 4\cdot (n-1)

p(n) = 1197

And the next three terms of the sequence are:

n = 5

p(n) = 1 + 4\cdot (n-1)

p(n) = 17

n = 6

p(n) = 1 + 4\cdot (n-1)

p(n) = 21

n = 7

p(n) = 1 + 4\cdot (n-1)

p(n) = 25

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

8 0
3 years ago
If m(x) = x2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)?
Ilia_Sergeevich [38]
For this case we have the following functions:
 m (x) = x ^ 2 + 3

n (x) = 5x + 9
 Multiplying both functions, we obtain an expression equivalent to (mn) (x).
 We have then:
 (mn) (x) = m (x) n (x)

 Substituting values we have:
 (mn) (x) = (x ^ 2 + 3) (5x + 9)

 Rewriting the expression we have:
 (mn) (x) = (5x ^ 3 + 15x) + (9x ^ 2 + 27)

(mn) (x) = 5x ^ 3 + 9x ^ 2 + 15x + 27
 Answer:
 
An expression that is equivalent to (mn) (x) is:
 (mn) (x) = 5x ^ 3 + 9x ^ 2 + 15x + 27
7 0
3 years ago
Read 2 more answers
If you are given two complementary angles with one angle measured at x + 10 degrees and the other angle measured at x - 30 degre
galina1969 [7]
I believe the answer is X+10
3 0
3 years ago
4x(x+7) simplified is​
Gre4nikov [31]

Answer:

4x^2 + 28x

Step-by-step explanation:

You use the distributive property and can say that it is equal to 4x * x + 4x * 7, which is equal to 4x^2 + 28x.

3 0
3 years ago
ASAP<br><br> Just the answer pls
timurjin [86]

Answer:

D

Step-by-step explanation:

5 0
3 years ago
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