1. First, we need to plug in the variables into the numbers from the information to create our first equation for the system. 3j (glasses of orange juice) + 5p (5 pancakes) = 7.60. Now, plug in the variables into the numbers from the information for the second equation for the system. j ( a glass of orange juice) + 2p ( 2 pancakes) = 2.90. 2. Now, we have the system of equation, 3j + 5p= 7.60 and j + 2p= 2.90. Our next step is to plug in j and use the substitution method by changing the j + 2p= 2.90 to -2p + 2.90. Then, we plug this into our first equation. 3(-2p + 2.90) + 5p = 7.60. Now, we use the distributive property. 3 x -2= 6 and 3 x 2.90= 8.70. Now, we have 8.70 – 6p + 5p= 7.60. Then, we combine the like terms in the equation, which
The next step is to isolate Mass (M). Since Mass needs to be directly proportional to v^2 r and inversely proportional to the Gravitational Constant (G), both sides of the equation must be divided by Gm. At this point all the m on the left side of the equation should be canceled. The Gm on the right side will also be canceled out, leaving M by itself on the right side.Now that we have gotten an equation that solves for Mass (M), we can start solving for M, but only once the velocity is known. Due to Object X’s moon having a circular orbit, v can be substituted with the circumference (2πr) divided by the time (P) it takes to make a complete orbit. Since velocity was squared, both the circumference and time will now be squared as well. Once all
Example 1: Find the amplitude, phase, period, and frequency of the sinusoid. v(t)=6cos(25t+5^o) Solution: The amplitude is V_m=6 V The phase is ϕ=5^o The angular frequency is ω=25 rad/s
System.out.println(); System.out.println("Total Sales \t Total Compensation"); System.out.println("----------- \t ------------------"); double minimumSales = 80000; double potentialCommission = minimumSales * 0.05; double potentialCommission1 = 85000 * 0.05; double potentialCommission2 = 90000 * 0.05; double potentialCommission3 = 95000 * 0.05; double potentialCommission4 = 100000 * 0.0625; double potentialCommission5 = 105000 * 0.0625; double potentialCommission6 = 110000 * 0.0625; double potentialCommission7 = 115000 * 0.0625; double potentialCommission8 = 120000 * 0.0625; double potentialCompensation = salary + potentialCommission; double potentialCompensation1 = salary + potentialCommission1; double potentialCompensation2 = salary + potentialCommission2; double potentialCompensation3 = salary + potentialCommission3; double potentialCompensation4 = salary + potentialCommission4; double potentialCompensation5 = salary + potentialCommission5; double potentialCompensation6 = salary + potentialCommission6; double potentialCompensation7 = salary + potentialCommission7; double potentialCompensation8 = salary + potentialCommission8;
Figure~\vref{fig:res}, shows the characteristic functions of the classes of the linear power amplifiers in which the active device operates as a current source. Its major disadvantage is holding a voltage to the transistor terminals during the conductance of the current, resulting in power dissipation. As shown, classes A and B are linear, while class C is incapable of storing amplitude information, hence often not be considered one of these classes.
1) Problem 6: Suppose demand and supply are given by Qd = 60 – P and Qs = P – 20.
Quan plans to spend less than $80 for buying groceries. He plans to spend $68.25 on food and spend the rest on juice. Each juice carton costs $3. He is curious how many juice cartons he can purchase before he runs out of money.
4. Solve the system of equations x + y = 5 x - y = -9 x + y = 5
26. Mallory Furniture buys 2 products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75000 to invest in shelves this week, and the warehouse has 18000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is $150. Which of the following is not a feasible purchase combination?
Solve the system of equations you wrote algebraically. Show all work neatly. Round to the nearest thousandths place (3 decimal places) if needed.
[p - z * SE, p + z * SE] = [0.035 - 2.576 * 0.0092, 0.035 + 2.576 * 0.0092]
(ii) x – 3y + 10 = 0, x – 2y – 10 = 0, where x and y are the ages (in years) of Nuri and Sonu respectively. Age of Nuri (x) = 50, Age of Sonu (y) = 20. (iii) x + y = 9, 8x – y = 0, where x and y are respectively the tens and units digits of the number; 18. (iv) x + 2y = 40, x + y = 25, where x and y are respectively the number of Rs 50 and Rs 100 notes; x = 10, y = 15. (v) x + 4y = 27, x + 2y = 21, where x is the fixed charge (in Rs) and y is the additional charge (in Rs) per day; x
4350 sales price * (x units)=[(660 fixed overhead + 770 fixed marketing)*3000 units] + [(550 variable materials + 825 variable labor + 420 variable overhead +275 variable marketing)*(x units)]
In order to look at the above equation as a system of Linear equation, take
possible outcomes for each equation instead of three. The hope was that we will be able to help