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2 years ago

The width of a rectangle is 1 less than twice its length. If the area of the rectangle is 176

Mathematics

1 answer:

Vitek1552 [10]2 years ago

5 0

Answer:

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Define fn : [0,1] --> R by the

sasho [114]

Answer:

The sequence of functions $\{x^{n}\}_{n\in \mathbb{N}}$ converges to the function

$f(x)=\begin{cases}0&0\leq x$ .

Step-by-step explanation:

The limit $\lim_{n\to \infty }c^{n}$ exists and converges to zero whenever $\lvert c \rvert$ . But, if $c=1$ the sequence $\{c^{n}\}$ is constant and all its terms are equal to $1$ , then converges to $1$ . Using this result, consider the sequence of functions $\{f_{n}\}$ defined on the interval $[0,1]$ by $f_{n}(x)=x^{n}$ . Then, for all $0\leq x$ we have that $\lim_{n\to \infty}x^{n}=0$ . Now, if $x=1$ , then $\lim_{n\to \infty }x^{n}=1$ . Therefore, the limit function of the sequence of functions is

$f(x)=\begin{cases}0&0\leq x$ .

To show that the convergence is not uniform consider $0$ . For any $n>1$ choose $x\in (0,1)$ such that $\varepsilon^{1/n}$ . Then

$\varepsilon$

This implies that the convergence is not uniform.

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2 years ago

Corey is 66 inches tall. At noon, Corey casts a shadow 108 inches long. At the same time, a tree casts a shadow 216 inches long.

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2 years ago

There are 2.54cm in an inch, 12 inches in a foot, and 5,280 feet in a mile.which expression gives the number of centimeters in a

geniusboy [140]

Answer:

(2.54×12) ×5280

Step-by-step explanation:

Since there are 2.54cm in an inch, multiply 2.54 by 12 to find out how many cm there are in a foot. Then you multiply that by 5280

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2 years ago

What is the value of x? *36 *72 *108 *144

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Answer:

Step-by-step explanation:

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1 year ago

Find the equation of the line shown below...

vovangra [49]

Answer:

y = -1/4x+2

Step-by-step explanation:

We can find the slope by finding two points on the line, and doing (y1-y2) ÷ (x1-x2). The two points I chose were (0,2), and (4,1). We can plug this into the equation to get (2-1) ÷ (0-4), to get -1/4, which is our slope. We can see on the graph, that the line intersects with the y axis when the y coordinate is 2, making the y-int 2.

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2 years ago

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