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Reptile [31]
3 years ago
12

Can you use the properties of exponents you discovered to simplify 5^2 · 2^5 ?

Mathematics
1 answer:
Nostrana [21]3 years ago
5 0

5² × 2⁵ = 25 × 32 =. 800

Hope this helps

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The correct answer is 1245
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PLEASE HURRY WILL GIVE BRAINLIEST
sashaice [31]

Step-by-step explanation:

P=96

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Several terms of a sequence {an}n=1 infinity are given. A. Find the next two terms of the sequence. B. Find a recurrence relatio
s344n2d4d5 [400]

Answer:

A)\frac{1}{1024},\frac{1}{4096}

B) \left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.

C) \\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...

Step-by-step explanation:

1) Incomplete question. So completing the several terms:\left \{a_{n}\right \}_{n=1}^{\infty}=\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},... \right \}

We can realize this a Geometric sequence, with the ratio equal to:

q=\frac{1}{4}

A) To find the next two terms of this sequence, simply follow multiplying the 5th term by the ratio (q):

\frac{1}{256}*\mathbf{\frac{1}{4}}=\frac{1}{1024}\\\\\frac{1}{1024}*\mathbf{\frac{1}{4}}=\frac{1}{4096}\\\\\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},\mathbf{\frac{1}{1024},\frac{1}{4096}}\right \}

B) To find a recurrence a relation, is to write it a function based on the last value. So that, the function relates to the last value.

\left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.

C) The explicit formula, is one valid for any value since we have the first one to find any term of the Geometric Sequence, therefore:

\\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...

6 0
3 years ago
Need quick help pleaseee
oksano4ka [1.4K]

Answer:

1080°

Step-by-step explanation:

(n - 2) x 180

n = number of sides = 8

(8 - 2) × 180 = 1080°

4 0
2 years ago
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The length of a rectangular garden is 7 feet longer than its width. The garden's perimeter is 178 feet. Find the length of the g
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Answer: 48

Step-by-step explanation:

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