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Levart [38]
3 years ago
8

For a proof by induction of the math statement below, identify the correct step for proving the theorem is true for n = k + 1. H

ELP ASAP THANKS!!

Mathematics
1 answer:
Pavel [41]3 years ago
4 0
<h3>Answer: Choice A</h3>

What we do is simply replace every n with k+1. So (3n)^2 turns into (3(k+1))^2

We see that only choice A has the correct term mentioned on the left hand side, so this must be the answer.

The right hand side is treated the same way. We plug in n = k+1. Your teacher did a bit of algebraic manipulation to get what is shown for choice A.

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your baseball team has won 6 games and lost 4 games. if the team does not lose any more games, how many games must the team win
puteri [66]

Answer:

<em></em>

<em>The team must win 2 games to have a win : loss ratio o 2.</em>

Step-by-step explanation:

  • <u>Ratio win : loss, r</u>:

       r = total wins / total losses

       

  • <u>Total wins, Tw</u>:

        Call n the number of new wins:

        Tw =number of wins until so far + number of new win = 6 + n

  • <u>Total losses, Tl</u>:

        Tl = number of losses so far + number of new losses = 4 + 0 = 4

  • <u>Target ratio</u>:

        r = 2 ⇒ Tw / Tl = (6 + n) / 4 = 2

Solve for n:

  • (6 + n ) = 4 × 2
  • 6 + n = 8
  • n = 8 - 6
  • n = 2

Hence,<em> the team must win 6 more games.</em>

  • <u>Verification</u>: (6 + 2 ) / 4 = 8 / 4 = 2, which is the target ratio.

8 0
3 years ago
Who ran faster, noah or lin?
Rufina [12.5K]
Noah ran faster because he ran more distance then lin
4 0
3 years ago
Zack and his dad baked some cupcakes for his class. They put 6 cups on each of 8 plates. How many cupcakes did they put on the p
kolezko [41]

Answer:

48 cupcakes were put on the plates.

Step-by-step explanation: 6 x 8 = 48

I hoped this answer helped you solve your problem!

Sincerely, iloveyouplease123ims

8 0
3 years ago
I need help with this question
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3 years ago
A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?
Tasya [4]
It should be 7.97 decigrams, since you want to convert 3 milligrams to decigrams (0.03), it is asking "How much more" which means you subtract.  8 subtracted from 0.03 is 7.97.

Hope this helps :)

8 0
3 years ago
Read 2 more answers
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