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stira [4]
3 years ago
13

Simplify 3^2 x 3^3.

Mathematics
2 answers:
melamori03 [73]3 years ago
7 0
It's 243 because all you have to do is 3x3 which is 9 then do 3x3x3 which is 27. once you've got those two terms you multiply the two terms together which will give you a total of 243
Andrej [43]3 years ago
6 0

Answer:

The answer is 3^5 (which is also = 243).

Step-by-step explanation:

We can use the exponent or product rule for powers (2 and 3) that have the same base (3): in order to multiply similar bases that have their respective powers, add the exponents, which in this case are 2 and 3, viz:

3^2 x 3^3 = 3^(2+3) = 3^5

3^5 = 3 × 3 × 3 × 3 × 3 = 243.

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What is the y equation ???
Nastasia [14]

Answer:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-interceptStep-by-step explanation:

6 0
3 years ago
James uses the Distributive Property to find how many cans of paint are in the art supply closet. There are 5 boxes in the close
julia-pushkina [17]

Answer:

70 cans of paint

Step-by-step explanation:

We are told in the question that:

1 box holds = 14 cans of paint

5 boxes =

Cross Multiplying

5 boxes will hold = 5 × 14

= 70 cans of paint

This question, requires that we use Distributive property

Distributive property states that: when 2 factors or numbers are multiplied together the result will be the same as splitting on of the numbers(factors) into two distinct numbers, multiplying both number by the other factor, and adding together both products.

Applying the definition above to solve the question, we would be splitting the number of boxes which is 5 into 2 distinct number = 2 and 3

As , 2 + 3 = 5

Hence, we have:

14 × 5 = 14( 2 + 3)

70 = 28 + 42

70 cans of paint = 70 cans of paint.

The numbers of cans of paint that are in the art supply closet is 70 cans of paint

5 0
3 years ago
Can you tell me how to calculate R for below Matrix ?
scoray [572]

Answer:

The rank of the matrix is 3.

Step-by-step explanation:

Consider the prided information.

x=\begin{bmatrix}x_1\\ x_2\\ x_3\end{bmatrix}=\begin{bmatrix}9&2&6&5&8\\ 12&8&6&4&10\\ 3&4&0&2&1\end{bmatrix}

Reduce the matrix in row echelon form as shown:

R_1\:\leftrightarrow \:R_2\begin{bmatrix}12&8&6&4&10\\ 9&2&6&5&8\\ 3&4&0&2&1\end{bmatrix}\\

R_2\:\leftarrow \:R_2-\frac{3}{4}\cdot \:R_1\ and\ R_3\:\leftarrow \:R_3-\frac{1}{4}\cdot \:R_1\\\\\begin{bmatrix}12&8&6&4&10\\ 0&-4&\frac{3}{2}&2&\frac{1}{2}\\ 0&2&-\frac{3}{2}&1&-\frac{3}{2}\end{bmatrix}

R_3\:\leftarrow \:R_3+\frac{1}{2}\cdot \:R_2\\\begin{bmatrix}12&8&6&4&10\\ 0&-4&\frac{3}{2}&2&\frac{1}{2}\\ 0&0&-\frac{3}{4}&2&-\frac{5}{4}\end{bmatrix}

R_2\:\leftarrow \:R_2-\frac{3}{2}\cdot \:R_3\ and\ R_1\:\leftarrow \:R_1-6\cdot \:R_3\\\begin{bmatrix}12&8&0&20&0\\ 0&-4&0&6&-2\\ 0&0&1&-\frac{8}{3}&\frac{5}{3}\end{bmatrix}\\R_2\:\leftarrow \:-\frac{1}{4}\cdot \:R_2\ , \ R_1\:\leftarrow \:R_1-8\cdot \:R_2\ and\ \:R_1\:\leftarrow \frac{1}{12}\cdot \:R_1\\\begin{bmatrix}1&0&0&\frac{8}{3}&-\frac{1}{3}\\ 0&1&0&-\frac{3}{2}&\frac{1}{2}\\ 0&0&1&-\frac{8}{3}&\frac{5}{3}\end{bmatrix}

The rank of a matrix is the number of non zeros rows.

Thus, the rank of the matrix is 3.

6 0
3 years ago
When 118 is divided by 11, what is the quotient and the remainder
zlopas [31]
Remainder would be 8 I believe idk
4 0
4 years ago
A car rental agency currently has 44 cars available, 28 of which have a gps navigation system. one of the 44 cars is selected ra
Vitek1552 [10]
Propability of pick car randomly is 1/44
4 0
3 years ago
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