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2 years ago

The smallest prime number that is a foctor of 15

1 answer:

6 0

The factors of 15 are 1, 3, 5 and 15. Now, as 1 is neither prime and nor a composite number (1 is not Prime because for a number to be a prime, it should have exact 2 factors i.e. 1 and itself, but 1 has only one factor. Therefore 1 is not prime.)

So the smallest prime factor of 15 is 3.

Hope this helped! :)

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Determine if 2x = 14 + y and 4x + 2y = 10 are parallel, perpendicular, or neither.

kozerog [31]

Answer:

Neither

Step-by-step explanation:

To tell if lines are perpendicular or parallel just from the equations, you need to look at the slopes. So get the equations into slop-intercept form

(y = slope * x + y-intercept)

2x = 14 + y

-14 -14

2x - 14 = y OR y = 2x - 14

*So the slope of the first equation is 2*

4x + 2y = 10

-4x -4x

2y = -4x + 10

/2 /2

y = -4/2 + 10

*So the slope is -2*

For the lines to be parallel, the slopes have to be the same. For them to be perpendicular, the slopes have to be opposite (negative is the opposite of positive and vice versa) and reciprocal (A flipped fraction, so the reciprocal of 2 would be 1/2)

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3 years ago

Nickel-63 has half-life of about 96 years. after 336 years,about how many milligrams of an 800 mg sample will remain?

vagabundo [1.1K]

F=ar^t if the half-life is 96 years...

.5=r^96

ln(.5)=96lnr

ln(.5)/96=lnr

r=e^((ln.5)/96)

f=800e^(336(ln.5)/96)

f=70.71

So about 71mg will remain after 336 years.

5 0

3 years ago

Read 2 more answers

Use a graphing calculator or online application to find the solutions to x^2-9 =6sqrt3/x to the nearest tenth.

Olegator [25]

Answer:

{-1.7, 3.5}

Step-by-step explanation:

I find it convenient to graph the difference of the two sides of the equation. That difference is zero when the equation is satisfied. This equation has two solutions, near x = -1.7 and x = 3.5.

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2 years ago

Calculate the median 5,10,12,4,6,11,13,5

damaskus [11]

For this case, we have by definition that, the median of a set of numbers is the average number in the set, after the numbers have been ordered from lowest to highest. If there is an even number in the set, the median is the average of the two middle numbers.

So, the given set is:

{4,5,5,6,10,11,12,13}

Since there are 8 numbers, the set is even. Then we find the average of the two numbers in the middle:

$\frac {6 + 10} {2} = \frac {16} {2} = 8$

The median is 8

ANswer:

8 0

3 years ago

Sample size n=150 are randomly selected from the U.S. census data, and the income range is found for each sample. What is the di

Mekhanik [1.2K]

Not enough information

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3 years ago