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4 years ago

10

When a tree was planted, it was 3 ft tall. Since then, it has been growing at a rate of 0.25 ft per year. How long will it take

for the tree to grow to be 15 ft yall?

1 answer:

anzhelika [568]4 years ago

6 0

I think it will be 60 years. 15 divided by 0.25 is 60.

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frez [133]

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Step-by-step explanation:

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3 years ago

A public rectangular-shaped pool is 15 m by 30 m. Public pools must be surrounded by a cement

n200080 [17]

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3 years ago

Need the answer for this thanks. I got C but that is incorrect. Please show work thanks!

natulia [17]

Answer:

Step-by-step explanation:

a: Wrong. The first thing that you have to notice is that the sum goes to infinity. If you want k=4 to be the last condition, then take out the 3 dots.

b: That's the answer.

c: wrong. You get a real mess when you let set k = 0. Try it on your calculator.

1 ÷ 0 = Watch carefully as your calculator mentally melts down.

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3 years ago

Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks

Iteru [2.4K]

Let

$P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}$

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

$P(1):\ 1 = \dfrac{1\cdot 2}{2}=1$

So, the base case is ok. Now, we need to assume $P(n)$ and prove $P(n+1)$ .

$P(n+1)$ states that

$P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}$

Since we're assuming $P(n)$ , we can substitute the sum of the first n terms with their expression:

$\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}$

Which terminates the proof, since we showed that

$P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}$

as required

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3 years ago

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Si 1,2,4,5,8,10,16,20,40,80

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3 years ago