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kozerog [31]
3 years ago
14

Let P (n) be the statement that 12 + 22 + · · · + n2 = n(n + 1)(2n + 1)/6 for the positive integer n. a) What is the statement P

(1)? b) Show that P (1) is true, completing the basis step of the proof. c) What is the inductive hypothesis? d) What do you need to prove in the inductive step? e) Complete the inductive step, identifying where you use the inductive hypothesis

Mathematics
1 answer:
andriy [413]3 years ago
4 0

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

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Answer:

19.

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2 years ago
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Heather sees that two stores have similar sales. Store A says that 5 balloons will cost her $6.00 and store B says that 13 ballo
MatroZZZ [7]

Answer:

Store A and it would cost $32.40 (answer choice A)

Step-by-step explanation:

Let's start by studying how much she would pay for a single balloon on each store:

In store A: (5 balloons for $6) then per each balloon: $6/5 = $1.2 per balloon.

In store BA: (13 balloons for $16.25) then per each balloon: $16.25/13 = $1.25 per balloon.

This shows us that the better price is in store A if she wants to pay as little as possible. Now, at that price, if she wants to buy 27 balloons, she will be paying (27 times $1.2): 27 * $1.2 = $32.40

5 0
3 years ago
What is the solution to the division problem below you can use long division or synthetic division 2x^3-2x^2-10x-6/ x-3
CaHeK987 [17]

Answer:

Step-by-step explanation:

7 0
3 years ago
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I dont understand this at all. I really need help! ​
Westkost [7]

Hello!

\large\boxed{x^{4}}

Recall that:

\sqrt[z]{x^{y} } is equal to x^{\frac{y}{z} }.  Therefore:

\sqrt[3]{x^{2} } = x^{\frac{2}{3} }

There is also an exponent of '6' outside. According to exponential properties, when an exponent is within an exponent, you multiply them together. Therefore:

(x^{\frac{2}{3} })^{6}  = x^{\frac{2}{3}* 6 }  = x^{\frac{12}{3} } = x^{4}

3 0
2 years ago
HELP!! And please explain thanks
ohaa [14]

pic the second one to your left and youll find ur answer

7 0
3 years ago
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