Answer:
jamie
Step-by-step explanation:
jamie received the most because once you divide them this is what you get
jamie: 40/4 (10/per hour)
jasmine: 56/7 (8/per hour)
Kevin: 54/6 (9/per hour)
The dimensions of the matrix are 3 by 3 i.e. 3 x 3, and the indicated element a₂₃ is -7
<h3>The dimension of the matrix?</h3>
From the figure in the question, we have the following highlights:
- The matrix has 3 rows
- The matrix has 3 columns
The dimensions of a matrix are represented by: Row by column
Hence, the dimensions of the matrix are 3 by 3
<h3>The indicated element</h3>
This is given as:
a₂₃
This means that the element is located at the second row and the third column.
The element at this position is -7
Hence, the indicated element is -7
Read more about matrix at:
brainly.com/question/2456804
#SPJ1
Answer:
The simplified form of the expression is
.
Step-by-step explanation:
The expression is:
![\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B-3%7D%5Ccdot%20y%5E%7B2%7D%7D%7Bx%5E%7B4%7D%5Ccdot%20y%5E%7B6%7D%7D)
The division rule of exponents is:
![a^{m}\div a^{n}=a^{m-n}](https://tex.z-dn.net/?f=a%5E%7Bm%7D%5Cdiv%20a%5E%7Bn%7D%3Da%5E%7Bm-n%7D)
The negative exponent rule is:
![a^{-m}=\frac{1}{a^{m}}](https://tex.z-dn.net/?f=a%5E%7B-m%7D%3D%5Cfrac%7B1%7D%7Ba%5E%7Bm%7D%7D)
Simplify the expression as follows:
![\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}=[x^{-3-4}]\times [y^{2-6}]](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B-3%7D%5Ccdot%20y%5E%7B2%7D%7D%7Bx%5E%7B4%7D%5Ccdot%20y%5E%7B6%7D%7D%3D%5Bx%5E%7B-3-4%7D%5D%5Ctimes%20%5By%5E%7B2-6%7D%5D)
![=x^{-7}\times y^{-4}\\\\=\frac{1}{x^{7} y^{4}}](https://tex.z-dn.net/?f=%3Dx%5E%7B-7%7D%5Ctimes%20y%5E%7B-4%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7Bx%5E%7B7%7D%20y%5E%7B4%7D%7D)
Thus, the simplified form of the expression is
.
To find how much money Ivan can earn selling fruit you will find what the greatest number of boxes of fruit he can make by finding the greatest common factor of 56 and 72.
Do the by listing the factors of each and find the greatest way they can divide.
56 - 1, 2, 4, 7, 8, 14, 28, 56
72 - 1, 2, 3,4, 6,8, 9,12, 18,36,72
8 is the biggest way to divide them, so
8 x $19.95 = $159.60
Ivan can earn $159.60.