3 years ago

What’s that simplified

Mathematics

1 answer:

bearhunter [10]3 years ago

7 0

Answer:

$2x^2\sqrt{5}$

Step-by-step explanation:

$\sqrt{20}x^2=x^2\sqrt{20}=x^2\sqrt{2*2*5}=x^2*2\sqrt{5}=2x^2\sqrt{5}$

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Choose the ratio that is equivalent to this one: 9/10<br><br> A) 30/27<br> B) 27/30<br> C) 27/29

Licemer1 [7]

Answer: B

Step-by-step explanation: if you divide 27/30 by 3 you get 9/10

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3 years ago

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In a shipment of new books for a library 3/12 of the books were poetry and 2/5 of the books were biographies . The remainder of

Pepsi [2]

Answer:

Step-by-step explanation:

2/5x3/12=6/36

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2 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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2 years ago

If $396 is invested at an interest rate of 13% per year and is compounded continuously, how much will the investment be worth in

Vilka [71]

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

Amount invested = $396

Interest rate = 13% per year

Time = 3 years

We will use the "Exponential growth formula" i.e.

$A=Pe^{rt}$

Here,

P denotes Principle amount

r denoted rate of growth

t denotes number of years,

So, it becomes

$A=396e^{0.13\times 3}\\\\A=396e^{0.69}\\\\A=\$584.88$

Hence, First option is correct.

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2 years ago

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Use the greatest common factor and the distributive property to write and an equivalent expression: 20g+24h

n200080 [17]

4(5g+6h)

You xan remove four from each number, but no letters since they dont have any of the same.

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3 years ago