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3 years ago

Given that 1 inch =2.54 how many centimeters are in 8 feet

Mathematics

2 answers:

True [87]3 years ago

8 0

Answer:

There is 243.84 cm in 8 feet

Step-by-step explanation:

postnew [5]3 years ago

4 0

Answer:

243.84 cm

Step-by-step explanation:

8 feet = 96 inches

96 inches x 2.54 in/cm = 243.84 cm

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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

4 0

3 years ago

6 out of 9 pairs of your jeans are blue. What percentage of you<br>jeans are NOT blue?

Tema [17]

Answer:

33.333333%

Step-by-step explanation:

If 6/9 (66.66666666%) of the jeans are blue it means that 3/9 of the jeans are not blue. 3/9 as a percentage is 33.333333%

8 0

3 years ago

Read 2 more answers

Solve for x using the diagram

liraira [26]

Its bh 5 time 7 = 35 is ur hight

6 0

3 years ago

Lucas compared the prices of some books. He wrote down the prices of the books rounded to the nearest dollar as shown.6, 6, 7, 7

Anon25 [30]

Answer:

The third plot.

Step-by-step explanation:

Use the process of elimination:

The first 4 numbers are 6,6,7,7

The first plot shows 6,6,6,7,7,7 which is not the answer.

Next , the numbers are 9, 10, 10, 10, 10, 10, 10

THERE ARE 6 Tens, ONLY ANSWER CHOICE C HAS 6 TENS

THAT IS THE ANSWER!!!

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4 years ago

What is the value of the digit in the hundred thousands place in the number 178,632 ?

Veronika [31]

The 1. (178,632)
Remember, one hundred thousand is = 100,000

4 0

3 years ago

Read 2 more answers