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2 years ago

I need help with number 9, plz help me

Mathematics

1 answer:

Nuetrik [128]2 years ago

7 0

I can’t see the whole question, so i tried to answer as much as i could think of

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Help there are five people at the carnival they are 15 people at the other carnival how many people are there

faltersainse [42]

I think there are 20 people

7 0

2 years ago

Simplified form of expression 125 2/3

masha68 [24]

Answer:

377/3

Step-by-step explanation:

In general if we have a fraction ( mixed) as ,

$a\dfrac{c}{d}$

Then the improper fraction will be ,

<u>Improper</u><u> fraction</u><u> </u><u>:</u><u>-</u><u> </u>

$\dfrac{ d\times a + c}{d}$

Using this concept we have ,

→ 125 ⅔

→ 125 × 3 + 2 / 3

→ 375 + 2/3

→ 377/3

<h3>Hence the simplified form of the expression is 377/3 .</h3>

3 0

2 years ago

Prove the following by induction. In each case, n is apositive integer.<br> 2^n ≤ 2^n+1 - 2^n-1 -1.

frutty [35]

<h2>Answer with explanation:</h2>

We are asked to prove by the method of mathematical induction that:

$2^n\leq 2^{n+1}-2^{n-1}-1$

where n is a positive integer.

Let us take n=1

then we have:

$2^1\leq 2^{1+1}-2^{1-1}-1\\\\i.e.\\\\2\leq 2^2-2^{0}-1\\\\i.e.\\2\leq 4-1-1\\\\i.e.\\\\2\leq 4-2\\\\i.e.\\\\2\leq 2$

Hence, the result is true for n=1.

Let us assume that the result is true for n=k

i.e.

$2^k\leq 2^{k+1}-2^{k-1}-1$

Now, we have to prove the result for n=k+1

i.e.

<u>To prove:</u> $2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1$

Let us take n=k+1

Hence, we have:

$2^{k+1}=2^k\cdot 2\\\\i.e.\\\\2^{k+1}\leq 2\cdot (2^{k+1}-2^{k-1}-1)$

( Since, the result was true for n=k )

Hence, we have:

$2^{k+1}\leq 2^{k+1}\cdot 2-2^{k-1}\cdot 2-2\cdot 1\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{k-1+1}-2\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-2$

Also, we know that:

$-2$

(

Since, for n=k+1 being a positive integer we have:

$2^{(k+1)+1}-2^{(k+1)-1}>0$ )

Hence, we have finally,

$2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1$

Hence, the result holds true for n=k+1

Hence, we may infer that the result is true for all n belonging to positive integer.

i.e.

$2^n\leq 2^{n+1}-2^{n-1}-1$ where n is a positive integer.

6 0

3 years ago

Need this question ASAP!!! Grayson bought a rectangular waste basket that is 1 1/2 feet long, 3/4 foot wide, and 2 feet high . F

deff fn [24]

Answer:

9/4 cubic feet

Step-by-step explanation:

1.5*3/4*2=9/4

4 0

2 years ago

Help me please !!!!!!

PilotLPTM [1.2K]

The correct answer is B. x is greater than -2.

7 0

3 years ago