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2 years ago

5

the boat in calm water is 30 km / h. How far can tourists travel by boat if they have to return after 2 hours to the place from

which they left? 2 A group of tourists want to take a speedboat ride on a river that runs fast

1 answer:

xeze [42]2 years ago

7 0

Answer:

60km

Step-by-step explanation:

They travel 30km in the first hour, then turn back and travel the same 30km backwards.

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If f(x) = 2x2 +5/(x-2), complete the following statement:

faust18 [17]

For this case we have the following function:

$f (x) = 2x ^ 2 + \frac {5} {x-2}$

By definition, we have that the domain of a function is given by all the values for which the function is defined. The given function is not defined when the denominator is zero.

So:

$x-2 = 0\\x = 2$

Thus, the function is not defined at $x = 2.$

The domain is given by all real numbers except 2.

Answer:

The domain is given by all real numbers except 2.

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3 years ago

Write the ordered pair that represents YZ. Then find the magnitude of YZ. y(-4,12), Z(1,19).

ki77a [65]

The magnitude of YZ is 8.6

<u>Explanation:</u>

<u />

Y( -4, 12)

Z ( 1, 19)

Magnitude of YZ = ?

We know:

$YZ = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

On substituting the value we get:

$YZ = \sqrt{(1+4)^2 + (19 - 12)^2} \\\\YZ = \sqrt{(5)^2 + (7)^2} \\\\YZ = \sqrt{25+49} \\\\YZ = \sqrt{74} \\\\YZ = 8.6$

Thus, the magnitude of YZ is 8.6

6 0

3 years ago

Read 2 more answers

Mario had 9 green,8 red 10 brown 6 orange and 9 blue M &M's. What fraction of the M&M's are orange?

IrinaK [193]

2/11 or 6/33
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8 0

3 years ago

Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh

svetoff [14.1K]

Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by $p = 130e^{0.0205t}$ (1)

where t = 0 corresponds to 1980.

Then , for 2009

t= 2009-1980=29

a. ⇒The population of Phoenix in 2009 = $p = 130e^{0.0205(29)}$

$p = 130e^{0.5945}$

$p =130(1.81212465608)=235.57620529\approx236$

Hence, the population of Orlando in 2009 was about 236,000.

b) Substitute p= 300 in (1) , we get

$300 = 130e^{0.0205t}$

$2.3077= e^{0.0205t}$ (Divide both sides by 130)

Taking Natural log on both sides,

$\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}$

$t=\dfrac{0.836251357528}{0.0205}=40.7927491477\approx41$

Hence, The year Orlando will have a population of 300,000 =1980+41 =2021

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3 years ago

A quadrilateral has vertices (2, 0), (0, –2), (–2, 4), and (–4, 2). Which special quadrilateral is formed by connecting the midp

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The first step to take is to plot the coordinates of the figure. Next, we caculate the distances of the sides of the polygon using distance formula given the coordinates of points. Next we get the midpoint of each side and connect them to each other. we calculate again the distances. The resulting figure is composed of four congruent sides but the angles are not perpendicular. The answer is D. rhombus

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3 years ago