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4 years ago

At a rodeo full with cowboys and horses someone counted 26 legs and 9 heads how many cowboys and horses were at the rodeo

Mathematics

1 answer:

11111nata11111 [884]4 years ago

4 0

2 Horses because you need to multiply 9 x 2 and the remaining would be divided by 4

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A centimeter is equal to <img src="https://tex.z-dn.net/?f=1%2F10" id="TexFormula1" title="1/10" alt="1/10" align="absmiddle" cl

victus00 [196]

Answer:

20 cm

because

1 cm = 0.1 dm

so 1 dm = 10 cm

then:

2 dm = 2 * 10 cm = 20 cm

5 0

3 years ago

I found the interval of convergence, but I am not sure how to do the second part, finding the sum of the series as a function of

antiseptic1488 [7]

The given series is geometric with common ratio $6^x - 9$ , which converges if $|6^x - 9|$ (i.e. the interval of convergence). We have the well-known result

$\displaystyle |r| < 1 \implies \sum_{n=0}^\infty ar^n = \frac{a}{1-r}$

If you're not familiar with that result, it's easy to reproduce.

Let $S_N$ be the $N$ -th partial sum of the infinite series,

$\displaystyle S_N = \sum_{n=0}^N \left(6^x - 9\right)^n = 1 + \left(6^x - 9\right) + \left(6^x - 9\right)^2 + \cdots + \left(6^x - 9\right)^N$

Multiply both sides by the ratio.

$\left(6^x - 9\right) S_N = \left(6^x - 9\right) + \left(6^x - 9\right)^2 + \left(6^x - 9\right)^3 + \cdots + \left(6^x - 9\right)^{N+1}$

Subtract this from $S_N$ to eliminate all the powers of the ratio between 0 and $N+1$ .

$\left(1 - \left(6^x - 9\right)\right) S_N = 1 - \left(6^x - 9\right)^{N+1}$

Solve for $S_N$ .

$S_N = \dfrac{1 - \left(6^x - 9\right)^{N+1}}{10-6^x}$

Now as $N\to\infty$ , the exponential term converges to 0 and we're left with

$\displaystyle \sum_{n=0}^\infty \left(6^x-9\right)^n = \lim_{N\to\infty} S_N = \boxed{\frac1{10-6^x}}$

7 0

2 years ago

Here are three numbers 5 7 9 show what that means these three numbers is 7

NemiM [27]

Answer:

See below

Step-by-step explanation:

The 'mean' is the three numbers added together

then this sum is divided by 3

(5 + 7 + 9 )/3 = 21/3 = 7

4 0

2 years ago

A rope weighs 400 grams per meter of length. What is the weight in kilograms of 6.3 m of this rope

torisob [31]

<span>A rope weighs 400 grams per meter of length.
length=6.3m

400*6.3=2520g
2520g=2520/1000kg=2.52kg

The answer is D.</span>

7 0

3 years ago

Which sentence fully illustrates that polygon ABCD is congruent to polygon PQRS?

SVETLANKA909090 [29]

Answer: The correct answer is B.

Step-by-step explanation:

8 0

3 years ago