The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is 2 amperes when the resistance is 770 ohms. What is the current when the resistance is 808 ohms? Round your answer to two decimal places if necessary.
Answers
Answer: The value of the current is 1.91 A.
Step-by-step explanation:
From the question, the current I in an electrical conductor varies inversely as the resistance R of the conductor.
The equation can be written as,
Here, K is the proportionality constant and R is the resistance.
It is given in the problem that the current is 2 amperes when the resistance is 770 ohms.
Calculate the value of K by using above expression.
Put I= 2 A and R= 770 ohm.
Calculate the value of the resistance when R= 808 ohms.
Put K= 1540 and R= 808 ohms.
Therefore, the value of the current is 1.91 A.
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Answers
The recursive function which represents the number of stamps he has on any day in the future is F(n) = 80 + 2ⁿ.
Given that:
Number of stamps that Nathan has in the beginning = 80
He adds 1 stamp to it today.
Each day he plans to add twice the number of stamps as the previous day.
So, the number of stamps will be in the order:
80 + 1, 80 + 2(1), 80 + 2(2(1)), 80 + 2(2(2(1))), ...
That is each day, the added stamps become twice.
On the first day, he added 1, on the second day, he added 2, on the third day, he added 4, ...
So, the recursive function can be written as:
F(n) = 80 + 2ⁿ, where n starts from 0.
Learn more about Recursive Functions here :
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We start with 80 and we add 1 on the first day, 2 on the 2nd, 4 on the 3rd, etc.. Looking at the numbers being added 1 = 202 = 214 = 228 = 2316 = 24...We start with 80 and we add 2n to it where n represents the number of days into the iterationwith n starting at 0 The function that shows how many stamps we have on any given day is DS = 80 + ∑ 2n Where D is the number of days we are into the iteration n=0NOTE: This starts at day 0 which would be S = 80 + 20 = 80 + 1 = 81 stamps Example: To find how many stamps we have on D = 4 we would haveS = 80+20+21+22+23+24 = 80+1+2+4+ 8+16 = 111 stamps
Answers
Answer:
four hundred eighty three thousand, four hundred ninety three.
sixty six thousand four hundred fifty.
one hundred thirty seven thousand six hundred seventeen.
Step-by-step explanation:
Answer:
483,493- four hundred eighty-three thousand four hundred ninety-three
66,450- sixty-six thousand four hundred fifty
137,617- one hundred thirty-seven thousand six hundred seventeen
Step-by-step explanation:
Answers
Answer:
- 6 bookcases
- 12 TV stands
Step-by-step explanation:
Given Andrew has $600 for materials and can make 18 pieces of furniture, you want to know the number of each kind that maximizes profit if each bookcase costs $20 and gives $60 profit, while each TV stand costs $40 and gives $100 profit.
Setup
If x and y represent the numbers of bookcases and TV stands Andrew builds, respectively, then he wants to ...
maximize 60x +100y
subject to ...
- x + y ≤ 18
- 20x +40y ≤ 600
Solution
The attached graph shows the solution space for these constraints. The profit is maximized at the vertex of the space where the profit function line is farthest from the origin. Andrew maximizes his profit by building ...
- 6 bookcases
- 12 TV stands
Final answer:
Andrew needs to solve a linear programming problem to find how many bookcases and TV stands he should manufacture for optimal profit. This is done by setting up and solving inequalities representing Andrew's time and material cost constraints, graphing the feasible region, and finding the point(s) in this region that yield the highest profit.
Explanation:
This question deals with the topics of linear programming and profit maximisation. Here, Andrew has to decide how much of each type of furniture, bookcases or TV stands, he should produce to maximise profit while considering time and material cost constraints.
From the given conditions, we get two inequalities. The first related to time says that the total number of bookcases and TV stands is less than or equal to 18: let bookcases be x, TV stands be y, thus we have x + y <= 18. The second involving the cost of material says that the total cost spent on materials for both products does not exceed $600: thus, we also have 20x + 40y <= 600.
You can graph these inequalities on the x-y plane to get a visual representation of the possibilities.
Finally, to find the optimal solution (i.e., the highest profit), you calculate the profit function P = 60x + 100y for each point in the feasible region and select the point that provides the highest profit.
Learn more about Linear Programming here:
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Answers
Answer: 5 Years
Step-by-step explanation:
Got it right on Edge
X2-15x+50=0
Answers
Answer:
(x - 10)(x - 5)
Step-by-step explanation:
Well to factor X^2-15x+50
we need to find 2 numbers that multiply to get 50 and add to get -15.
-5 * -10 = 50
-5 + -10
x*x = x^2
Factored (x - 10)(x - 5)
Hope this helps :)
Answer:
(x - 10)(x - 5)
Step-by-step explanation:
Step 1- Find 2 numbers that multiply to be 50.
10 × 5
-10 × -5
25 × 2
-25 × -2
All these multiply to get 50.
But the numbers must also add up to be -15.
Step 2- Find the 2 numbers that also add up to be -15.
10 + 5 = 15
-10 + -5 = -15
25 + 2 = 27
-25 + -2 = -27
The correct equation would be - 10 + -5
The 2 number you would use when you factor would be -10 and -5
Step 3- Write the equation
You can write the equation as (x - 10)(x - 5)
Or you can also write it as (x - 5)(x - 10)