Q:
Shattered by Eric Walters
Chapter 13
1. Who was Jacob? Why is his story important to the novel?
Q:
2.- Sea la Transformación lineal \( T: R^{3} \longrightarrow R^{3} \), y los vectores: \( \overrightarrow{\boldsymbol{u}}_{1}=(\mathbf{1}, \mathbf{0}, \mathbf{0}), \overrightarrow{\boldsymbol{u}}_{\mathbf{2}}=(\mathbf{0}, \boldsymbol{a}+\mathbf{1}, \mathbf{0}) \)
\( \overrightarrow{\boldsymbol{u}}_{3}=(\mathbf{0},-\mathbf{1}, \boldsymbol{a}+\mathbf{2}) \) tal que:
\[ \boldsymbol{T}\left(\overrightarrow{\boldsymbol{u}}_{\mathbf{1}}\right)=(-\mathbf{1}, \mathbf{0}, \mathbf{2}), \boldsymbol{T}\left(\overrightarrow{\boldsymbol{u}}_{2}\right)=(\mathbf{1}+\boldsymbol{a}, \mathbf{0}, \mathbf{0}) \boldsymbol{y} \boldsymbol{T}\left(\overrightarrow{\boldsymbol{u}}_{3}\right)=(\mathbf{0}, \mathbf{0}, \mathbf{2}) \]
a) Verificar que se cumplen las condiciones para la existencia de una única T.L. y encontrar la
expresión de la TL.
b) Hallar el núcleo, una base y su dimensión.
c) Encontrar la imagen, una base y la dimensión.
d) Verificar el teorema de la dimensión del núcleo y la imagen. Justificar.
e) Clasificar la transformada. Decir si existe \( \mathrm{T}^{-1} \). Justificar.
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\( y=\left|\frac{x-2}{x-1}\right| \)
Draw the graph of the above function
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Look at this photograph. This shows a Japanese __.A. porcelain B. mosque C. dōtaku D. stupa
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Question 2 ( 6 marks)
Given the sets:
\[ \begin{aligned} \mathrm{A}=\{\text { Dave, Sara }\} \\ \mathrm{B}=\{\text { cake, pie, ice cream }\} \\ \text { a) What is the Cartesian prod } \\ \text { b) How many elements are in } \\ \text { marks) } \\ \text { c) } \begin{array}{l}\text { Interpret what each pair in } \\ \text { if A represents people and } \\ \text { desserts.(2 marks) }\end{array}\end{aligned} . \]
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Creating a process flow diagram for stock management involves outlining the steps that inventory goes through from the initial purchase order to the final sale. Below is a detailed explanation of each step in the process:
Please summarise below.
### 1. **Purchase Order (PO)**
- **Description**: A purchase order is created when a business decides to buy stock from a supplier. This document outlines the items, quantities, prices, and delivery terms.
- **Details**:
- The purchasing department identifies the need for stock based on inventory levels or sales forecasts.
- A PO is generated and sent to the supplier for approval.
- The supplier confirms the order, and the PO is recorded in the system.
### 2. **Bill from Supplier**
- **Description**: Once the supplier ships the goods, they send a bill or invoice for the items delivered.
- **Details**:
- The bill includes details such as item descriptions, quantities, prices, and payment terms.
- The accounts payable department verifies the bill against the PO and the received goods to ensure accuracy.
### 3. **Stock Rises**
- **Description**: Upon receiving the goods, the stock levels in the inventory system are updated to reflect the new quantities.
- **Details**:
- The receiving department checks the items against the PO and the bill.
- Any discrepancies (damaged goods, incorrect quantities) are reported and resolved.
- The inventory management system is updated to increase stock levels accordingly.
### 4. **Sales Order (SO)**
- **Description**: A sales order is created when a customer places an order for products.
- **Details**:
- The sales team enters the customer’s order into the system, specifying the items, quantities, and delivery details.
- The sales order is confirmed with the customer, and the order is queued for fulfillment.
### 5. **Invoice Generation**
- **Description**: An invoice is generated based on the sales order once the products are ready for shipment.
- **Details**:
- The invoice includes details such as item descriptions, quantities, prices, taxes, and payment terms.
- The invoice is sent to the customer, and it serves as a request for payment.
### 6. **Inventory Drop**
- **Description**: When the products are shipped to the customer, the inventory levels are decreased to reflect the sale.
- **Details**:
- The fulfillment team picks and packs the items for shipment.
- The inventory management system is updated to decrease stock levels based on the sales order.
- This step ensures that the available stock reflects the actual inventory on hand.
### 7. **Stock Reorder**
- **Description**: If stock levels fall below a predetermined threshold, a reorder process is initiated to replenish inventory.
- **Details**:
- The inventory management system monitors stock levels and triggers alerts for low inventory.
- A new purchase order is created to restock items, following the same process as the initial purchase order.
### 8. **Production (if applicable)**
- **Description**: If the business produces its own goods, this step involves manufacturing products to replenish stock.
- **Details**:
- Production planning is based on sales forecasts and current inventory levels.
- Raw materials are procured, and the production process is initiated.
- Once production is complete, the finished goods are added to inventory, increasing stock levels.
### 9. **Sold**
- **Description**: The final step in the process is the completion of the sale, where the customer pays for the goods.
- **Details**:
- Payment is received from the customer, either upfront or on credit.
- The sale is recorded in the accounting system, and the transaction is marked as complete.
- Customer records are updated, and any follow-up actions (like delivery confirmation) are initiated.
Q:
What is the value of \( e \) rounded to three decimal places?
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process flow diagram that stock goes through from receipt, production, up until sold.
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Dotas kopas
\( A=(-8 ; 0,7), B=[-2 ; 3], C=(0 ; 15] \)
Izpildi darbības ar kopām!
\( \begin{array}{llll}\text { a) } A \cap B & \text { b) } A \cup C & \text { c) } B \cap C & \text { d) } A \cup B\end{array} \)
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form of the augmented matrix of the matrix equation \( A \boldsymbol{x}=\boldsymbol{b} \) (Hint: You
can find the solution in the slide of Week 2 , but I still suggest that you do
it once again), and do the following:
(1) Record each step (the row operation) with a matrix.
(2) Suppose you get \( t \) matrices \( M_{1}, M_{2}, \ldots, M_{t} \) in order (you may name it
with other names), then
(a) Compute \( E=M_{t} M_{t-1} \cdots M_{2} M_{1} \) (Notice the order);
(b) Compute \( E A \), and check that if it is an identity matrix.
(c) Compute \( E \boldsymbol{b} \), and check that if it equals to the last column
vector in the RREF of the augmented matrix.
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