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Anastasy [175]
2 years ago
8

[asy] size(7cm); draw((1.8,0)--(3.2,0),Arrows); draw((2,0.03)--(2,-0.03)); draw((3,0.03)--(3,-0.03)); for(real i=15/7; i<2.9;

i+=1/7){ draw((i,0.02)--(i,-0.02)); }; label("2",(2,-0.02),S); label("3",(3,-0.02),S); label("$\heartsuit$",(16/7,-0.01),S,red); [/asy] What is the simplest fraction whose value is equal to the number $\textcolor{red}{\heartsuit}$ depicted on this number line?
Mathematics
1 answer:
shutvik [7]2 years ago
3 0

Answer:

2 2/7

Step-by-step explanation:

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Answer:

f(h)=2d+4.3

= 2 x 1.5+4.3

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Lim (sin x )^tanx as x-&gt;pi/2
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 <span>lim (x → π/2) (sinx)^(tanx) 
= lim (x → π/2) e^[(tanx) ln (sinx)] 
= e^ [lim (x → π/2) (tanx) ln (sinx)] ... (1) 

lim (x → π/2) (tanx) ln (sinx) 
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Using L'Hospital'stheorem, 
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I hope my answer has come to your help. Thank you for posting your question here in Brainly.
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3 years ago
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8 0
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A sample of nitrogen in a glass bulb has a mass of 245 mg. What is this mass in kilograms? (Note: 1,000 mg = 1 g, 1,000 g = 1 kg
notka56 [123]

You can use the specified conversion scale to convert the weight given to kilograms.

The mass of given bulb in kilogram is 0.000245 kilogram.

<h3>How to convert from one unit to another unit?</h3>

If a quantity is given in one unit and its unit of measurement has to be changed to other unit, then you will have to get to know how is first unit related to other. Based on that, you can convert the unit of measurement to desired unit of measurement.

<h3>How to convert 245 mg to kilogram?</h3>

Since 1000 mg = 1 gram, thus,

Dividing by 1000 on both sides, we get:

\dfrac{1000}{1000} \: \rm mg  = \dfrac{1}{1000} \: \rm g\\&#10;\\&#10;1 \: mg = 0.001 \: g\\&#10;\\&#10;\text{Multiplying 245 on both sides}\\\\&#10;245 \times 1 \: mg = 245 \times 0.001 \: g = 0.245 \: g\\&#10;245 \: mg = 0.245 \: g

Now since 1000g = 1 kg, thus,

Dividing by 1000 on both the sides,

\dfrac{1000}{1000} \: \rm g  = \dfrac{1}{1000} \: \rm kg\\\\1 \: g = 0.001 \: kg\\\\\text{Multiplying 0.245 on both sides}\\\\0.245 \times 1 \: g = 0.245 \times 0.001 \: kg = 0.000245 \: kg\\0.245 \: g = 0.000245 \: kg\dfrac{1000}{1000} \: \rm g  = \dfrac{1}{1000} \: \rm kg\\\\1 \: g = 0.001 \: kg\\\\\text{Multiplying 0.245 on both sides}\\\\0.245 \times 1 \: g = 0.245 \times 0.001 \: kg = 0.000245 \: kg\\0.245 \: g = 0.000245 \: kg

Thus, 245 mg = 0.245g = 0.000245 kg

The mass of given bulb in kilogram is 0.000245 kilogram.

Learn more about unit conversion here:

brainly.com/question/16418622

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