A simple question: Is a vector made like or ?

HELP PLEASE must show work

matrenka [14]

Answer:

1. 4n^3

2. 4k^7

3. 3

4. -30x

5. -6

Step-by-step explanation:

1. The prime factorization of 12 is 2 x 2 x 3 and the prime factorization of 16 is 2 x 2 x 2 x 2. When you look at these two expressions you can see the common factors of these two numbers are 2 x 2, which is 4. Next, we look at the GCF of the N's which would be n^3 since n^5 has three N's in it. Therefore, we get 4n^3 when we multiply the two together.

2. The factors of 8 are 1, 2, 4, and 8. Out of these, 1, 2, and 4 are the only factors that 20 shares with it and 4 is the greatest. Then, we look at the K's and the GCF of the K's is k^7 since k^8 has seven K's. We multiply the two and we get 4k^7.

3. Since one of the numbers of the three given here does not include the variable n, there will not be any N's in the GCF of the three, so we don't have to worry about that. Now, we just find the GCF of 18, -24, and -21. The factors of 18 are 1, 2, 3, 6, 9, and 18, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24, and lastly, the factors of 21 are 1, 3, 7, and 21. From these, 3 is the biggest common divisor, therefore the GCF is 3.

4. Between the two X's, X^1 is the biggest amount of X's this GCF has, so the final GCF will be some constant multiplies with X. Since we are dealing with bigger numbers on this problem, we should use prime factorization. The prime factorization of 90 is 2 x 3 x 3 x 5, and the prime factorization of 120 is 2 x 2 x 2 x 3 x 5. From these expressions, we take the biggest amount of each common factor as we can. Since these expressions both have 2, we take the smaller amount of 2's which is one two. Then we get one three from both expressions, and one five as well. 2 times 3 times 5 equals 30, therefore, we get -30x, and not 30x, because both of these numbers are negatives.

5. All of these numbers do not have an x, so there won't be an x in our GCF. Another method of quickly finding the GCF of numbers is to look at the smallest number's factors first to see what factors it shares with the other numbers. The factors of 12 are 1, 2, 3, 4, 6, and 12. 42 and 30 do not have the factor 12, so we can go down the list and see if 42 and 30 share the factor 6, which they do since 6 times 7 is 42 and 6 times 5 is 30. Since all of these numbers share the negative sign, the GCF of these three numbers is -6.

5 0

3 years ago

Molly and Ryan both need to answer this question on their test in math class. 34×45=? They both got 12/20 as their answer but do

Neporo4naja [7]

It would be 3/5 because if you simplify it you would bet 3/5

4 0

3 years ago

Gabriela's monthly take-home pay is $2800, and her monthly rent is $700. If both her monthly take-home pay and her rent increase

ruslelena [56]

Gabriela spends about 30% of her take home pay on rent.

5 0

3 years ago

Read 2 more answers

Your family goes to a restaurant for dinner. There are 7 people in your family. Some order the chiken dinner for $ 12 dollars an

aleksandrvk [35]

Answer:

The number of people who ordered steak dinner is 5

The number of people who ordered chicken dinner is 2

Step-by-step explanation:

Given as :

The total number of people went for the dinner = 7

The total bill price for the dinner = $ 109

The price for the chicken dinner = $ 12

The price for the steak dinner = $ 17

Let The number of people who ordered chicken dinner = c

And The number of people who ordered steak dinner = s

Now, According to question

The total number of people went for the dinner = The number of people who ordered chicken dinner + The number of people who ordered steak dinner

Or, c + s = 7

And The total bill price for the dinner = The price for the chicken dinner × The number of people who ordered chicken dinner + The price for the steak dinner × The number of people who ordered steak dinner

Or, $ 12 × c + $ 17 × s = $ 109

Now, solving the equations

$ 12 × ( c + s ) = $ 12 × 7

Or, $ 12 × c + $ 12 × s = $ 84

Or, ( $ 12 × c + $ 17 × s ) - ( $ 12 × c + $ 12 × s ) = $ 109 - $ 84

Or , ( $ 12 × c - $ 12 × c ) + ( $ 17 × s - $ 12 × s ) = $ 25

Or, ( 0 ) + ( $ 5 s ) = $ 25

∴ s = $\frac{25}{5}$

I.e s = 5

So, The number of people who ordered steak dinner = s = 5

Put the value og s in Eq A

∵, c + s = 7

or, c = 7 - s

Or, c = 7 - 5

I.e c = 2

So , The number of people who ordered chicken dinner = c = 2

Hence The number of people who ordered steak dinner is 5

And The number of people who ordered chicken dinner is 2 Answer

5 0

3 years ago

Can someone solve this someone? Anyone?

Afina-wow [57]

Answer:

increase by 18

Step-by-step explanation:

put any number at c

f=32+1.8(5)

f=41

Then increase your number c by 10

f=32+1.8(15)

f=59

then figure out the difference

59-41=18

6 0

3 years ago

A simple question:Is a vector made like or ?