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3 years ago

What is the greatest common factor of 48m5n and 81m2n2

Mathematics

1 answer:

fiasKO [112]3 years ago

8 0

The greatest common factor is 3m^2n

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What is the thirty-second term of the arithmetic sequence -12, -7, -2, 3, ... ? Show your work.

anzhelika [568]

The thirty-second term is 143

Further explanation:

As it is already given that the given sequence is an arithmetic sequence

We have to find the common difference first

So,

$a_1=-12\\a_2=-7\\a_3=-2\\a_4=3$

$d=a_2-a_1=-7-(-12)=-7+12=5\\a_3-a_2=-2-(-7)=-2+7=5$

The common difference is 5.

And first term is -12

The explicit formula for arithmetic sequence is:

$a_n=a_1+(n-1)d\\Here,\\a_n\ is\ nth\ term\\a_1\ is\ first\ term\\d\ is\ common\ difference$

Putting the values in the formula

$a_n=-12+(n-1)(5)\\a_n=-12+5n-5\\a_n=-17+5n$

Putting n=32 in explicit formula

$a_{32}=-17+5(32)\\=-17+160\\=143$

The thirty-second term is 143

Keywords: Common difference, Arithmetic Sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

6 0

3 years ago

A homeowner uses a $10 bill to pay a neighbor for cutting his lawn. The

timama [110]

Answer:

Step-by-step explanation:

It has a constant value.

7 0

3 years ago

X^6+3x^3-5 <br> write the expression in quadratic form

Art [367]

Step-by-step explanation:

$v = {x}^{3} \\ {v}^{2} + 3v - 5 = 0 \\$

Solving this equation using the quadratic formula, we get two real solutions :

1.1926 or -4.1926

Now we know the values of v , we can calculate x since x is ∛ v

${x}^{6} + 3 {x}^{3} - 5 = 0$

$x = \sqrt[3]{1.1926} = 1.0605 \\ x = \sqrt[3]{ - 4.1926} = - 1.6125$

3 0

2 years ago

Devon is trying to find the unit price on a 6-pack of drinks on sale for 2.99$. His sister says that at that price, each drink w

Andrew [12]

She is not correct, because $3.00 divided by 6 is 50 cents, so by using that equation she could evaluate that she is wrong and find the correct answer.

6 0

3 years ago

Read 2 more answers

If N = f(x) and f(x) = 3x^2 −x−5

harina [27]

Answer:

I really don't know so sorry

8 0

3 years ago