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miv72 [106K]
2 years ago
9

Highest common factor of 15 and 20

Mathematics
2 answers:
Vikki [24]2 years ago
7 0

Answer:

The highest common factor is 5

Step-by-step explanation:

3x5=15  4x5=20

adoni [48]2 years ago
5 0

Answer:

answer is 5

Step-by-step explanation:

See image below, This is a good website  called Cue math explaining.  

https://www.cuemath.com/questions/gcf-of-15-and-20/

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Brainly which is the distance between (-3,4) and (7,13)
Veseljchak [2.6K]

Answer:

Root 181

Step-by-step explanation:

         Using distance formula, we know that the answer will be the square root of 181. Unfortunately, this is not a perfect square, and it is prime, so that number will remain the same.

Distance Formula: \sqrt{(13-4)^{2} + (7+3})^2} = \sqrt{181}

Hope this helped!

5 0
3 years ago
Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks​
Iteru [2.4K]

Let

P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

P(1):\ 1 = \dfrac{1\cdot 2}{2}=1

So, the base case is ok. Now, we need to assume P(n) and prove P(n+1).

P(n+1) states that

P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}

Since we're assuming P(n), we can substitute the sum of the first n terms with their expression:

\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}

Which terminates the proof, since we showed that

P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}

as required

4 0
3 years ago
Which function is increasing at the highest rate? A. B. A linear function on a coordinate plane passes through (minus 1, 3), and
xenn [34]

The highest rate on increasing is of 12x -6y = -24; Option B is the correct answer.

The options are given in the image attached with the answer

<h3>What is a Function ?</h3>

A function is a law that relates a dependent variable and an independent variable.

It is asked among the options given , which is increasing at the highest rate.

To increase at a rate , the value of the slope , m should be > 0

For the Option 1

for a straight line function , the slope is given by

m = ( y₂ -y₁)/(x₂-x₁)

m = ( -3 -3)/(2- (-1)) = -6 /3 = -2

Therefore the function is decreasing

For Option 2

12x - 6y = -24

-6y = -12x -24

y = 2x +4

m = 2 (increasing)

For option 3

m = (-4 + 5)/(2-1) = 1

For Option 4

(8,0) (0,-4)

m = (-4 -0) /(0-8) = 4/8 = 1/2

The highest rate on increasing is of 12x -6y = -24

Therefore Option B is the correct answer.

To know more about Function

brainly.com/question/21145944

#SPJ1

6 0
2 years ago
Choose improper fraction that is equivalent to mixed number 4 3/10
lakkis [162]

Answer:

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is a theoretical and Experimental Probability?
aniked [119]

Answer:

See below...

Step-by-step explanation:

Theoretical probability is the probability that something should happen based on the beginning conditions.  Such as having a jar of 30 marbles with 5 being blue.  The probability of pulling out a blue marble when selecting 1 marble is

5/30, or 1/6.  Theoretically you should pull one blue marble out every 6 times you pull a marble out.  

This isn't guaranteed to happen though, that's where experimental probability comes form.

Experimental probability is the number of desired outcomes achieved, divided by the total number of outcomes.  This is based on what actually happened.  Say you selected a marble, and put it back 10 times, recording the color each time and you got 2 blue marbles.  Your experimental probability is

2/10, or 1/5, which doesn't match the theoretical probability.  The more times this experiment is conducted, the closer your result will be to the theoretical probability

8 0
3 years ago
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