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3 years ago

Which point is the best estimate of 11?

Mathematics

1 answer:

Likurg_2 [28]3 years ago

6 0

Answer:

Step-by-step explanation:

Step 1: Find √11

√11 is between perfect squares √9 and √16

√9 < √11 < √16

3 < √11 < 4

So it is between 3 and 4

Step 2: Evaluate

√11 = 3.31662

Closest dot is B.

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Determine whether the integral is convergent or divergent. ∫[infinity] 2 e^−1/x / x^2 dx : O Convergent O divergent If it is con

monitta

Let $f(x)=e^{-1/x}$ . Then $f'(x)=\frac1{x^2}e^{-1/x}>0$ for all $x\ge2$ , so $f$ is strictly increasing. As $x\to\infty$ , $e^{-1/x}\to e^0=1$ , so $f$ is bounded above by 1. This is to say,

$e^{-1/x}$

and the integral of $\frac1{x^2}$ converges over the same domain, so this integral must also converge by comparison.

We have, by setting $y=-\frac1x$ ,

$\displaystyle\int_2^\infty\frac{e^{-1/x}}{x^2}\,\mathrm dx=\int_{-1/2}^0e^y\,\mathrm dy=e^0-e^{-1/2}=1-\frac1{\sqrt e}$

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3 years ago

Using the given table of an exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Ty

Westkost [7]

Answer:

The growth rate is 0.6

The growth factor is 1.6

Step-by-step explanation:

Generally, the exponential equation can be written as;

y = a(1 + r)^x

Where a is the initial value of 100

r is the growth rate

So let us form equations;

160 = 100(1 + r)^1 •••••(i)

Also;

256 = 100(1 + r)^2 •••••••(ii)

Divide equation ii by i

256/160 = 1 + r

1.6 = 1 + r

r = 1.6-1

r = 0.6

7 0

2 years ago

Smplify the expression:<br> 5+6i/4+6i

skelet666 [1.2K]

The answer would be 5 + 15i/2.

1. 5 + 3i/2 + 6i

2. 5 + (3/2i + 6i)

3. 5 + 15i/2.

5 0

2 years ago

Multiply the binomials: (w-9) • (w-4)

Novay_Z [31]

Answer:

w² - 13w + 36

Step-by-step explanation:

Given

(w - 9)(w - 4)

Each term in the second factor is multiplied by each term in the first factor, that is

w(w - 4) - 9(w - 4) ← distribute both parenthesis

= w² - 4w - 9w + 36 ← collect like terms

= w² - 13w + 36

3 0

2 years ago

What is the complement of 57?

umka21 [38]

Complements are numbers that add 90. Since one is 57, the other has to add to 57. So 33 would add with 57 to get 90.

4 0

3 years ago