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Anna35 [415]
2 years ago
13

Victor plants 56 seeds in some flower pots if he puts 7 seeds in each pot how many flower pots does he have

Mathematics
1 answer:
Papessa [141]2 years ago
8 0

Answer:

8

Step-by-step explanation:

The total seeds Victor plants in the flower pots=56

He puts 7 seeds in each pot.

So to find the number of pots;

You need to divide the total seeds(56) by the seeds put in each(7)

So it's going to be;

56÷7

=8

Therefore the total number of flower pots is 8.

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Prove that 2n^3 + 3n^2 + n is divisible by 6 for every integer n > 1 by mathematical induction. (7 marks)
notka56 [123]

Answer:

The answer is True

Step-by-step explanation:

A <em>mathematical induction</em> consists in only 2 steps:  

<u>First step</u>: Show the proposition is true for the first one valid integer number.

<u>Second step</u>: Show that if any one is true then the next one is true  

Finally, if first step and second step are true, then the complete proposition is true.

So, given 2*n^3+3*n^2+n

First step: using and replacing n=2 (the first valid integer number >1)

2*(2)^3 +3*(2)^2+2=30

\frac{30}{6} =5

As the result is an integer number, so the first step is true.

Second step: using any next number, n+1, let it replace

2*(n+1)^3+3*(n+1)^2+(n+1)\\2*(n^3+3*n^2+3*n+1)+3*(n^2+2*n+1)^2+(n+1)\\2*n^3+6*n^2+6*n+2+3*n^2+6*n+3+n+1\\(2*n^3+3*n^2+n)+(6*n^2+12*n+6)

As the First step is true, we know that

2*n^3+3*n^2+n=6*k,

So let it replace in the previous expression

6*k+6*(n^2+2*n+1)\\6*[k+(n^2+2*n+1)]

Finally

\frac{6*[k+(n^2+2*n+1)]}{6} =k+(n^2+2*n+1)

where the last expression is an integer number

So the second step is true, and the complete proposition is True

5 0
3 years ago
The quotient of 8 and twice a number z
juin [17]
2z divided by 8
Z= 16
4 0
3 years ago
Use the law of cosines to gind the value of x and y.​
ivanzaharov [21]

Answer: Answer:x = 49.8^\circ\\y = 54.6^\circStep-by-step explanation: Kindly refer to the image attached in the answer region for labeling of triangle.

Step-by-step explanation: u multiply the numbers

4 0
2 years ago
D’Andra has a dentist appointment in 5 weeks. There are 7 days in a week. How many days are in 5 weeks?
Lisa [10]

Answer:

A. 35

Step-by-step explanation:

Each week has 7 days, and we have 5 weeks.

Week 1 has 7 days.

Week 2 has 7 days.

Week 3 has 7 days.

Week 4 has 7 days.

Week 5 has 7 days.

We can add all these together to get the total number of days: 7 + 7 + 7 + 7 + 7 = 7 * 5 = 35.

Thus, the answer is A.

Hope this helps!

8 0
3 years ago
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Quadratic equations are never used to solve word problems. True or false?
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Quadratic equations CAN be used to solve word problems so the answer to your question is false
7 0
3 years ago
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