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4 years ago

Which pair of numbers is relatively prime?

Mathematics

2 answers:

Lelechka [254]4 years ago

5 0

Answer:

Step-by-step explanation:

Just took quiz

podryga [215]4 years ago

4 0

Relatively prime means having no factors in common.

I will start by checking if they have the factor "3" in common: it's easy to check: the sum of its digit needs to be divisible by 3:

a. 72 And 115

7+2=9
1+1+5=7

not true that both are divisible by 3
b. 120 And 835
1+2=3
8+3+5=16


not true that both are divisible by 3
but, they're both divisible by 5! (0 or 5 at the end)
not relatively prime

 c. 201 And 735

2+1=3
7+3+5=15

both are divisible by 3!

d. 303 And 1041

3+3=6
1+4+1=6

both divisible by 3

the answer is a)

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Help me please! Someone “answered” this question already but it’s not the right answer!

Katyanochek1 [597]

Answer: x < -7 over 3 for the first and x > 5 for the second.

Step-by-step explanation: I took two adderalls and I'm high as a kite.

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3 years ago

Suppose that the population P(t) of a country satisfies the differential equation dP/dt = kP (600 - P) with k constant. Its pop

jeka94

Answer:

The country's population for the year 2030 is 368.8 million.

Step-by-step explanation:

The differential equation is:

$\frac{dP}{dt}=kP(600 - P)\\\frac{dP}{P(600 - P)} =kdt$

Integrate the differential equation to determine the equation of P in terms of t as follows:

$\int\limits {\frac{1}{P(600-P)} } \, dP =k\int\limits {1} \, dt \\(\frac{1}{600} )[(\int\limits {\frac{1}{P} } \, dP) - (\int\limits {\frac{}{600-P} } \, dP)]=k\int\limits {1} \, dt\\\ln P-\ln (600-P)=600kt+C\\\ln (\frac{P}{600-P} )=600kt+C\\\frac{P}{600-P} = Ce^{600kt}$

At t = 0 the value of P is 300 million.

Determine the value of constant C as follows:

$\frac{P}{600-P} = Ce^{600kt}\\\frac{300}{600-300}=Ce^{600\times0\times k}\\\frac{1}{300} =C\times1\\C=\frac{1}{300}$

It is provided that the population growth rate is 1 million per year.

Then for the year 1961, the population is: P (1) = 301

Then $\frac{dP}{dt}=1$ .

Determine k as follows:

$\frac{dP}{dt}=kP(600 - P)\\1=k\times300(600-300)\\k=\frac{1}{90000}$

For the year 2030, P (2030) = P (70).

Determine the value of P (70) as follows:

$\frac{P(70)}{600-P(70)} = \frac{1}{300} e^{\frac{600\times 70}{90000}}\\\frac{P(70)}{600-P(70)} =1.595\\P(70)=957-1.595P(70)\\2.595P(70)=957\\P(70)=368.786$

Thus, the country's population for the year 2030 is 368.8 million.

3 0

4 years ago

Sally has x books that weigh 2 pounds each and 8 books that weigh 3 pounds each. the total weight of her books is 62 pounds. whi

Sholpan [36]

If Sally has x books that are 2 pounds then her x books weights a total of 2x lbs.

8 books of 3 lbs weights 8*3=24lbs

All them add up to 62, therefore we can conclude to the equation :
2x+24=62
or we can simplify to
2x=38
or even
x=19

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4 years ago

Solve for x b - x = c

aliya0001 [1]

Answer:

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x=b-c

Step-by-step explanation:

b-x=c

b-c=x

7 0

3 years ago

A whole number is squared. the result was 16. what was the original number

Serggg [28]

The number that was squared would be 4

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3 years ago

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