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3 years ago

A student is 5 feet, 2 inches tall. What is her height in meters?

1 answer:

6 0

We know that 1 feet is 0.3m and that 1 inch = 0.0254 m
To get the result we have to multiply 5 feet by 0.3 and 2 inches by 0.0254 and add it.
5*0.3=1.5
2*0.0254=0.0508
Now adding
1.5+0.058=1.55m - its the answer

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Marizza181 [45]

Answer:

7.29

cube

Step-by-step explanation:

To be honest I just put this in a calculator. Just remember that 2 is square root, and 3 is cubed root.

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3 years ago

The sum to infinity of a geometric series is 32.The sum of the first four terms is 30 and

gayaneshka [121]

The terms in the series are

$\displaystyle \sum_{n=1}^\infty ar^{n-1} = a + ar + ar^2 + ar^3 + \cdots$

The series converges, so we $|r|$ . All the terms in this particular series are known to be positive, so $0Consider the [tex]N$ -th partial sum of the series,

$S_N = \displaystyle \sum_{n=1}^N ar^{n-1} = a + ar + ar^2 + \cdots + ar^{N-1}$

Multiply both sides by $r$ :

$r S_N = ar + ar^2 + ar^3 + \cdots + ar^N$

Subtracting this from $S_N$ eliminates all the $r^n$ terms between $n=1$ and $n=N-1$ , leaving us with

$(1 - r) S_N = a - ar^N \implies S_N = \dfrac{a(1-r^N)}{1-r}$

As $N\to\infty$ , the $r^N$ term will converge to zero, and the value of the infinite series is

$\displaystyle \sum_{n=1}^\infty ar^{n-1} = \lim_{n\to\infty} S_N = S = \frac a{1-r}$

Now, we're given

$S = \dfrac a{1-r} = 32 ~~~~ \text{ and } ~~~~ S_4 = \dfrac{a(1-r^4)}{1-r} = 30$

By substitution, we have

$S_4 = 32(1-r^4) = 30 \implies 1-r^4 = \dfrac{15}{16} \implies r^4 = \dfrac1{16} \implies r = \dfrac12$

so that

$S = \dfrac a{1 - \frac12} = 32 \implies a = 16$

Then the sum of the first 8 terms is

$S_8 = \dfrac{a(1-r^8)}{1-r} = \dfrac{16\left(1 - \frac1{2^8}\right)}{1-\frac12} = \dfrac{255}8$

and the difference between this and the infinite sum is

$S - S_8 = 32 - \dfrac{255}8 = \dfrac{256-255}8 = \boxed{\dfrac18}$

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1 year ago

Sales increased by 1/2 last month. If the sales from the previous month were $152,850 what were last months sales?

sweet-ann [11.9K]

Answer

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Step-by-step explanation:

Take the previous month sales and cut that in half then add them to the same sales you just cut in half because they've increased by 1/2 and or 0.5

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2 years ago

Tammy ran for president of the chess club and she received 27 votes they were 45 members in the club what percentage of the club

Sonbull [250]

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60% of the club members voted for Tammy

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2 years ago

(20 PTS) Preform the indicated questions, then answer the question!

irinina [24]

Answer:

a. 12

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