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just olya [345]
2 years ago
6

Write the radical expression in exponential form.

x%7D%20%7D%20" id="TexFormula1" title=" \frac{1}{ \sqrt[2]{x} } " alt=" \frac{1}{ \sqrt[2]{x} } " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Len [333]2 years ago
5 0
1/x = x^-1
sqrt(x) = x^(1\2)

Therefore, answer is:

x^(-1/2)
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105.6 L/h = ___ L/min?
Drupady [299]
(\frac{105.6\ L}{hour})(\frac{1\ hour}{60\ minutes})

The hours cancel out and you divide 105.6 by 60 to get 

1.76 L/min
5 0
2 years ago
In international morse code, each letter in the alphabet is symbolized by a series of dots and dashes: the letter a, for example
Ostrovityanka [42]
Morse code is essentially the same as binary. That is, there are two "digits", a dot or a dash.

There are 26 letters in the English alphabet. Clearly, we can't just use one dot or dash, since that could only encode 2 letters at the most. We can't use two symbols because that could only encode 4 letters at the most. Similarly, 3 symbols means 2^3=8 letters at most.

We have to select the smallest power of 2 that exceeds or is equal to 26. In this case, 2^5=32>26, so we would have to use up to 5 symbols to encode each letter in the alphabet.
5 0
3 years ago
Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point. If her total r
Masja [62]

Answer:

about 26 min

Step-by-step explanation:

Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point

First we find the average speed

We add both speed and divide it by 2

\frac{4.5+5.5}{2} = 5

Now we find the distance for round trip

given total time is 48 mins. convert mins into hours

48 mins = 48 divide by 60 = 0.8

average speed = 5 km/hr

Distance = speed * time = 5 * 0.8 = 4 km

distance covered both ways = 4 km

so 4 divide by 2 = 2 km each way

To find time taken for upstream = distance of each way / speed of upstream

time = \frac{2}{4.5} = 0.44 hours

Now convert hours into minutes

0.44* 60= 26.4 minutes





3 0
2 years ago
Daniel is printing out copies of a presentation. It takes 3 minutes to print a color copy and 1 minute to print a black-and-whit
Effectus [21]
Work the information to set inequalities that represent each condition or restriction.

2) Name the variables. 

c: number of color copies
b: number of black-and-white copies

3) Model each restriction:

i) <span>It takes 3 minutes to print a color copy and 1 minute to print a black-and-white copy.
</span><span>
</span><span>3c + b
</span><span>
</span><span>
</span><span>ii) He needs to print at least 6 copies ⇒ c + b ≥ 6
</span><span>
</span><span>
</span><span>iv) And must have the copies completed in no more than 12 minutes ⇒</span>

3c + b ≤ 12
<span />

4) Additional restrictions are c ≥ 0, and b ≥ 0 (i.e. only positive values for the number of each kind of copies are acceptable)

5) This is how you graph that:

i) 3c + b ≤ 12: draw the line 3c + b = 12 and shade the region up and to the right of the line.

ii) c + b ≥ 6: draw the line c + b = 6 and shade the region down and to the left of the line.

iii) since c ≥ 0 and b ≥ 0, the region is in the first quadrant.

iv) The final region is the intersection of the above mentioned shaded regions.

v) You can see such graph in the attached figure.

6 0
3 years ago
I WILL GIVE A CROWN JUST NEED HELP ASAP
pav-90 [236]

Answer:

$720

Step-by-step explanation:

First tutor = 30 x 10 = $300

Second tutor = 30 x 14 = $420

Total = 420 + 300 = $720

3 0
2 years ago
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