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3 years ago

Simplify 4^5/4^3 and show steps

Mathematics

1 answer:

BaLLatris [955]3 years ago

8 0

Answer:

Step-by-step explanation:

4^5/4^3

4^5-3

4^2

Hope this helps :)

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3 years ago

How many of the numbers from the set $\{1,\ 2,\ 3,\ldots,\ 50\}$ have a perfect square factor other than one?

Novay_Z [31]

Answer:

2^2 ( 1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12) = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44,48

3^2(1,2,3, 5) = 9, 18, 27, 45

5^2(1, 2) = 25, 50

7^2 = 49

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Step-by-step explanation:

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3 years ago

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3 years ago

Read 2 more answers

Write the rule for the nth term of each sequence.

stira [4]

Rule for sequence a is: a_n = 10-3n

Rule for sequence b is: a_n = -19+8n

Step-by-step explanation:

a.)7, 4, 1, -2, ...

First of all we have to find the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence

Here,

$a_1 = 7\\a_2 = 4\\a_3 = 1\\d = a_2 - a_1 = 4-7 = -3\\d = a_3 - a_2 = 1-4 = -3$

The explicit rule for an arithmetic sequence is:

$a_n = a_1 + (n-1)d$

Putting the value of a1 and d

$a_n = 7 + (n-1)(-3)\\a_n = 7 -3n+3\\a_n = 10-3n$

b.)-11, -3, 5, 13, ...

First of all we have to find the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence

Here,

$a_1 = -11\\a_2 = -3\\a_3 = 5\\d = a_2 - a_1 = -3+11 = 8\\d = a_3 - a_2 = 5+3 = 8$

The explicit rule for an arithmetic sequence is:

$a_n = a_1 + (n-1)d$

Putting the value of a1 and d

$a_n =-11 + (n-1)(8)\\a_n = -11 +8n-8\\a_n = -19+8n$

Hence,

Rule for sequence a is: a_n = 10-3n

Rule for sequence b is: a_n = -19+8n

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

8 0

3 years ago

Can a parallelogram be one of the cross sections for a rectangular prism and triangular prism?

Andrei [34K]

Answer:

A parallelogram is a four-sided figure that has opposite sides that are parallel and are equal in length. A triangle is not a parallelogram because it does not have four sides, nor parallel sides. Since the cross-section of a triangular prism is a triangle (which cannot be a parallelogram), a parallelogram can never be the cross-section of a triangular prism.

Step-by-step explanation:

hmu if you need anything els

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3 years ago