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3 years ago

Find the GCF of the following terms. 16xy^3 , 20x^2y^2 , -4x^2y

Mathematics

1 answer:

Ivanshal [37]3 years ago

7 0

$16xy^3=4xy\cdot4y^2\\\\20x^2y^2=4xy\cdot5xy\\\\-4x^2y=4xy\cdot(-x)\\\\GCF(16xy^3;\ 20x^2y^2;\ -4x^2y)=4xy$

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, list the first five terms of each sequence, and identify them as arithmetic or geometric.

sveta [45]

Answer: -2, 2, 6, 10, 14

It is an Arithmetic sequence.

Step-by-step explanation:

Given Recursive formula : $A(n + 1) = A(n) + 4$ , for n ≥ 1 and A(1) = -2.

$A(2)=A(1 + 1) = A(1) + 4=-2+4=2$

$A(3)=A(2 + 1) = A(2) + 4=2+4=6$

$A(4)=A(3 + 1) = A(3) + 4=6+4=10$

$A(5)=A(4 + 1) = A(4) + 4=10+4=14$

Hence, the five terms of given sequence= -2, 2, 6, 10, 14

Since, there is common difference of 4 in two consecutive terms.

Therefore, it is an Arithmetic sequence.

5 0

3 years ago

29,17,38,71,35,63,24. Two numbers that add up to 100. Two numbers which differ by 46, a multiple of 9

Dmitry [639]

2 numbers that add up to 100: 71+29=100

2 numbers which differ by 46: 63-17=46

A multiple of 9: 9x7=63

8 0

3 years ago

A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which

Aloiza [94]

Answer:

$\frac{4cm}{1year}*\frac{10mm}{1cm}*\frac{1year}{365days}$

Step-by-step explanation:

Whenever we are doing unit conversions, we have to remember to make the first ratio and then each successive ratio should be put in such a way that the top and bottom cancels out with each unit and whatever we want, remains.

A simple example would be if we were to just convert from cm to mm. Suppose we want to convert 5 centimeters to millimeters. We can write the ratios is 2 ways:

First:

$5cm*\frac{10mm}{1cm}$

Second:

$5cm*\frac{1cm}{10mm}$

The first one is correct since we want mm, mm should be on top and cm should be on bottom form cm and cm to get canceled.

Now, for our problem, we want mm on top and day on bottom. So, cm and year should cancel. Looking at the first choice, the conversion factors are correct & skimming through, we see that

cm and cm cancels (top and bottom), also year and year cancels (top and bottom), it will leave us with mm on top and days on bottom, which is what we want.

First answer choice is right.

6 0

3 years ago

Read 2 more answers

Let f(x) = x - 3 and g(x) = x + 11 find f(x) times g(x) What is the answer?

notsponge [240]

f(x) *g(x) = (x-3)(x+11) = x^2 +11x -3x -33 = x^2 +8x -33

Sorry if its wrong :(

6 0

3 years ago

The Georgia state constitution contains a bill of rights .which of these is Most likely the best entry in this section of Georgi

Pavlova-9 [17]

That would be the freedom of speech and the freedom of the press.

Both of these are without a doubt a center of political to the political system existing in the United States. They state that both the freedom of speech and the press is to be expressed freely. These rights are the key to the political discourse as they allow an honest conversation and exchange of opinion that is of paramount importance in democracy. People are free to express their opinions and through the press they gain the necessary information to make educated decisions about the burning political questions.

Hope this helps!

6 0

3 years ago