In the first table, y = 4x. So y is proportional to x.
In the second table, y is not proportional to x.
In the third table, 2y = 3x. So, y is proportional to x.
<h2>
Answer with explanation:</h2>
We are asked to prove by the method of mathematical induction that:
where n is a positive integer.
then we have:
Hence, the result is true for n=1.
- Let us assume that the result is true for n=k
i.e.
- Now, we have to prove the result for n=k+1
i.e.
<u>To prove:</u> 
Let us take n=k+1
Hence, we have:
( Since, the result was true for n=k )
Hence, we have:
Also, we know that:
(
Since, for n=k+1 being a positive integer we have:
)
Hence, we have finally,
Hence, the result holds true for n=k+1
Hence, we may infer that the result is true for all n belonging to positive integer.
i.e.
where n is a positive integer.
Answer:
your answer should be 90
Step-by-step explanation:
Amount of water that the faucet leaks in 1 week = 42 gallons
That means Amount of water that the faucet in Kali's house leaks in 7 days = 42 gallons So The amount of water that the faucet in Kali's house leaks in 1 day = (42/7) gallons = 6 gallons Then The amount of water that the faucet in Kali's house leaks in 3 days = 6 * 3 gallons = 18 gallons
So it can said from the above deduction that the amount of water leaked by the faucet in Kali's house is 18 gallons.
hope this help .-.
Answer:
∛3, ∛3 to the fourth power, 3³∕ ², 3³∕ ², radical 3 to the fifth power
Step-by-step explanation:
I'm going to convert all these to decimal form to make it easier.
3³∕ ² = 4.5
∛3 = 1.44
radical 3 to the fifth power= 15.60
∛3 to the fourth power= 4.33
