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notsponge [240]
3 years ago
7

Find the smallest positive integer that is greater than $1$ and relatively prime to the product of the first 20 positive integer

s. Reminder: two numbers are relatively prime if their greatest common divisor is 1.
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

Answer:

23

Step-by-step explanation:

since the number is relatively prime to the product of the first 20 positive numbers

It number must not have factor of (1-20)

Therefore the smallest possible number is the next prime after 20

Answer is 23

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In general, the value measured by the horizontal axis is called the ________<br> variable.
bixtya [17]

Answer:

independent

Step-by-step explanation:

We put the independent variable on the x axis ( or horizontal)  and the dependent variable on the y axis ( or vertical)

7 0
4 years ago
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How far from an airport can an airplane fly and return in 8 hours, if it's outgoing speed is 160 km per hour and it's returning
PilotLPTM [1.2K]
<span>speed = distance/time
total time is 8 hours

outgoing speed is 160 km per hour, 
so time = d/160

</span><span>returning speed is 240 km per hour,
so time = d/240

 d/160 + d/240 = 8

3d/480 + 2d/480 = 8
5d/480 = 8
5d =480 (8)
5d = 3840
d=3840/5
d=768

answer: so the distance is 768 km</span>
4 0
3 years ago
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Find the maximum production level p = 100x^{0.34}y^{0.66} if the total cost of labor (at $72 per unit) and capital (at $40 per u
Anton [14]

Maximum production p=552728

Step-by-step explanation:

The equation for maximum production is : p=100x^{0.34} y^{0.66}

The number of units of labor is x @$72

The number of units of capital is y @$40

The total cost of labor and capital is limited to $270,000, this can be written as;

72x+40y ≤ $270,000

Graphing the inequality to find values of x and y ,from the graph;

x=3750 units

y=6750  units

Applying the expression for maximum production

p=100*x^{0.34}* y^{0.66} \\\\p=100*3750^{0.34} *6750^{0.66} \\\\p=552727.56\\\\p=552728

Learn More

Inequalities graphs :brainly.com/question/11386040

Keywords: maximum, production,cost, labor,limited to,capital ,unit

#LearnwithBrainly

6 0
3 years ago
Hi
Alona [7]
You’re absolutely amazing and I really appreciate that you’re trying to help others! And if you need anything yourself please feel free to ask :)
5 0
3 years ago
Jack has a pin number that he uses to access his bank account. his code consists of 4 different numbers from 0 to 9. what is the
Tamiku [17]
For each choice of the first two digits you have 10<span> choices for the third digit. Thus you have 10x10x10 = 1000 choices for the first three digits. Finally you have </span>10<span>choices for the fourth digit and thus there are 10x10x10x10 = </span>10 000<span> possible 4 digit combinations from </span>0-9<span>.</span>
5 0
3 years ago
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