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3 years ago

Simplify the expression. Show your work. 22 + (3^2 – 4^2)

Mathematics

1 answer:

irga5000 [103]3 years ago

6 0

22 + (3^2 – 4^2)
= 22 + (9 – 16)
= 22 -7
= 15

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What is the solution to the exponential equation 5^2n

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B.) 3/2
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2 years ago

A chemist is using 338 milliliters of a solution of acid and water. If 16.3% of the solution is acid, how many milliliters of ac

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2 years ago

<img src="https://tex.z-dn.net/?f=%5Cbf%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%268%268%5C%5C%20%5Ctimes%262%264%5Cend%7Bmatrix%7D"

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2 years ago

A= [2, 3; 2, 1], B=[3; 5]. Find AB & BA if possible

oksano4ka [1.4K]

Answer:

The value of AB is $\left[\begin{array}{ccc}21\\11\end{array}\right]$ and it's not possible to multiply BA.

Step-by-step explanation:

Consider the provided matrices.

$A=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right]$ , $B=\left[\begin{array}{ccc}3\\5\end{array}\right]$

Two matrices can be multiplied if and only if first matrix has an order m × n and second matrix has an order n × v.

Multiply AB

Matrix A has order 2 × 2 and matrix B has order 2 × 1. So according to rule we can multiply both the matrix as shown:

$AB=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right] \left[\begin{array}{ccc}3\\5\end{array}\right]$

$AB=\left[\begin{array}{ccc}2\times 3+3\times 5\\2\times 3+1\times 5\end{array}\right]$

$AB=\left[\begin{array}{ccc}6+15\\6+5\end{array}\right]$

$AB=\left[\begin{array}{ccc}21\\11\end{array}\right]$

Hence, the value of AB is $\left[\begin{array}{ccc}21\\11\end{array}\right]$

Now calculate the value of BA as shown:

Multiply BA

Matrix B has order 2 × 1 and matrix A has order 2 × 2. So according to rule we cannot multiply both the matrix.

We can multiply two matrix if first matrix has an order m × n and second matrix has an order n × v.

That means number of column of first matrix should be equal to the number of rows of second matrix.

Hence, it's not possible to multiply BA.

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3 years ago

From class we learned that in 2010 the federal debt (in millions) was $13,561,623 and the population of the U.S. was 309 million

NemiM [27]

Question A: The per capita debt would be $43,888.75.

Per capita means the amount per person. To find this amount, we need to take the total debt and divide it by the number of people.

13,561,623 divided by 309 = 43,888.75

For Question B, you will need to have the other CPI value from the table.

7 0

3 years ago