0.0181 yd/s. To solve this problem you use dimensional analysis. You convert the feet and minutes to yards and seconds by using this process. The units of feet and minutes cancel out, so you are left with yards per second. You should get 0.0180555555 when you multiply and divide everything, but you can just round it to 0.0181 or whatever place your teacher wants.
Answer and Step-by-step explanation:
A) The first three terms are:
5, 8, 11
B) The tenth term is 32
You find the answer by plugging in the value for n. So for A), you would plug in 1, 2, and 3 (the first 3 terms), then to find the tenth term, you plug in 10 for n.
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Answer:
1. Consistent equations
x + y = 3
x + 2·y = 5
2. Dependent equations
3·x + 2·y = 6
6·x + 4·y = 12
3. Equivalent equations
9·x - 12·y = 6
3·x - 4·y = 2
4. Inconsistent equations
x + 2 = 4 and x + 2 = 6
5. Independent equations
y = -8·x + 4
8·x + 4·y = 0
6. No solution
4 = 2
7. One solution
3·x + 5 = 11
x = 2
Step-by-step explanation:
1. Consistent equations
A consistent equation is one that has a solution, that is there exist a complete set of solution of the unknown values that resolves all the equations in the system.
x + y = 3
x + 2·y = 5
2. Dependent equations
A dependent system of equations consist of the equation of a line presented in two alternate forms, leading to the existence of an infinite number of solutions.
3·x + 2·y = 6
6·x + 4·y = 12
3. Equivalent equations
These are equations with the same roots or solution
e.g. 9·x - 12·y = 6
3·x - 4·y = 2
4. Inconsistent equations
Inconsistent equations are equations that are not solvable based on the provided set of values in the equations
e.g. x + 2 = 4 and x + 2 = 6
5. Independent equations
An independent equation is an equation within a system of equation, that is not derivable based on the other equations
y = -8·x + 4
8·x + 4·y = 0
6. No solution
No solution indicates that the solution is not in existence
Example, 4 = 2
7. One solution
This is an equation that has exactly one solution
Example 3·x + 5 = 11
x = 2
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
In order to make the offer attractive such that it would earn £25,000 for Ian Vector, Paddington Games would have to sell 460 games.
The game can be sold for £25,000 or for £2,000 and then a fee of £50 for every game sold.
In order for the amount to be the same, the amount from games sold will have to equal the difference between the £25,000 and the £2,000.
Difference is:
= 25,000 - 2,000
= £23,000
The <u>number of games to be sold</u> is:
= Difference / Amount per game
= 23,000 / 50
= 460 games
In conclusion, 460 games need to be sold to make the offer attractive.
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