Archives: solutions

Question 9 of 10 Multiple Choice: Please select the best answer and click “submit.” Which angle in △DEF has the largest measure? A. ∠D B. ∠E C. ∠F D. Cannot be determined

Question 9 of 10 Multiple Choice: Please select the best answer and click "submit." Which angle in △DEF has the largest measure? A. ∠D B. ∠E C. ∠F D. Cannot be determined

Answer: ∠F Explanation: Subject: Math — Geometry (triangle side–angle relationships). Key fact: in any triangle, the largest angle lies opposite the longest side. The side lengths shown are DF = 6, FE = 7, and DE = 11, so DE is the longest side; therefore the angle opposite DE, which is ∠F, is the largest. […]

Question 10 of 10 2 Points Which of the following is an arithmetic sequence? A. -4, -7, -10, -13, -16, … B. 3, -3, 3, -3, 3, … C. 1, 5, 25, 625, … D. 2, 5, 10, 15, …

Question 10 of 10 2 Points Which of the following is an arithmetic sequence? A. -4, -7, -10, -13, -16, ... B. 3, -3, 3, -3, 3, ... C. 1, 5, 25, 625, ... D. 2, 5, 10, 15, ...

Answer: A. -4, -7, -10, -13, -16, … Explanation: Subject: Math — sequences (arithmetic sequence / arithmetic progression). An arithmetic sequence has a constant difference d between consecutive terms; general term: \(a_n=a_1+(n-1)d\). To decide, compute consecutive differences for each choice and check whether they are all equal. Only choice A has a constant difference (-3), […]

4.3.8 How Far Away Is …? In this exercise, you will write a program to compute the distance between any two geo-locations. In this program, you will ask the user for four numbers: Starting latitude Starting longitude Ending latitude Ending longitude Then, using the GeoLocation class and our earlier example as a reference, compute the distance in miles between the two locations. A sample program run should match exactly as below: Enter the latitude of the starting location: 48.8567 Enter the longitude of the starting location: 2.3508 Enter the latitude of the ending location: 51.5072 Enter the longitude of the ending location: 0.1275 The distance is 208.08639358288565 miles.

Answer: See the Java program below (one file containing the main program and a GeoLocation class). It reads the four numbers, computes the great‑circle distance (in miles) and prints the result in the same format as the sample. Explanation: This uses the spherical law of cosines to compute the central angle between two latitude/longitude points […]

Convert 230 pounds to kilograms.

Answer: \(230\ \text{lb} \approx 104.33\ \text{kg}\) Explanation: Use \(1\ \text{lb} = 0.45359237\ \text{kg}\). Then \(230 \times 0.45359237 = 104.3262451\), which rounds to \(104.33\ \text{kg}\).

Andrea Apple opened Apple Photography on January 1 of the current year. During January, the following transactions occurred and were recorded in the company’s books: 1. Andrea invested $13,700 cash in the business. 2. Andrea contributed $22,000 of photography equipment to the business. 3. The company paid $2,300 cash for an insurance policy covering the next 24 months. 4. The company received $5,900 cash for services provided during January. 5. The company purchased $6,400 of office equipment on credit. 6. The company provided $2,950 of services to customers on account. 7. The company paid cash of $1,700 for monthly rent. 8. The company paid $3,300 on the office equipment purchased in transaction #5 above. 9. Paid $295 cash for January utilities. Based on this information, the balance in the A. Apple, Capital account reported on the Statement of Owner’s Equity at the end of the month would be: Multiple Choice $34,200. $41,600. $33,550. $42,555. $32,855. Is the service revenue on account added to the revenue, and what about the prepaid insurance payment do you add that to expenses when figuring net income?

Answer: $42,555 Explanation: Add assets and subtract liabilities (no owner withdrawals). After recording the transactions: Cash = \(13,700 -2,300 +5,900 -1,700 -3,300 -295 = 12,005\) Photography equipment = \(22,000\) (owner contribution) Office equipment = \(6,400\) Prepaid insurance = \(2,300\) Accounts receivable = \(2,950\) Total assets = \(12,005+22,000+6,400+2,300+2,950 = 45,655\) Liabilities (accounts payable) = \(6,400-3,300 = […]

Question 6 of 7 (1 point) Graph the line y = -7.

Question 6 of 7 (1 point) Graph the line y = -7.

Answer: A horizontal line crossing the y-axis at \(y=-7\) (slope \(0\), y-intercept \((0,-7)\)). Explanation: Subject: Math — coordinate geometry / linear equations. Concept: The equation \(y=c\) (constant) is a horizontal line. Here \(y=-7\) means every point on the graph has \(y\)-coordinate \(-7\). Steps (how to graph): Note the y-intercept: set \(x=0\) gives point \((0,-7)\). Pick […]

QUESTION 2 Find the average value of the function f(x,y) = 20 – 2y over the rectangle R = [0,3] x [0,5]. A f_ave = 0 B f_ave = 75 C f_ave = 15 D f_ave = 3 E None of these

QUESTION 2 Find the average value of the function f(x,y) = 20 - 2y over the rectangle R = [0,3] x [0,5]. A f_ave = 0 B f_ave = 75 C f_ave = 15 D f_ave = 3 E None of these

Answer: 15 Explanation: Subject: Mathematics — specifically multivariable calculus (double integrals). Use the average-value formula for a function over a region: \[ f_{\text{avg}}=\frac{1}{\text{Area}(R)}\iint_R f(x,y)\,dA. \] Here \(\text{Area}(R)=3\cdot5=15\). Compute the double integral by iterated integration (Fubini’s Theorem) of \(f(x,y)=20-2y\) over \(x\in[0,3],\,y\in[0,5]\), then divide by 15. Steps: Write the average-value expression: \[ f_{\text{avg}}=\frac{1}{15}\int_{x=0}^{3}\int_{y=0}^{5}(20-2y)\,dy\,dx. \] Compute the inner […]