Divide both by a number that can go into both terms so it will be 5 .
which is 5(c-3)
Answer:
2144.66 would be the correct answer
Step-by-step explanation:
The smallest prime number of p for which p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.
<h3>What is the smallest prime number of p for which p must have exactly 30 positive divisors?</h3>
The smallest number of p in the polynomial equation p^3 + 4p^2 + 4p for which p must have exactly 30 divisors can be determined by factoring the polynomial expression, then equating it to the value of 30.
i.e.
By factorization, we have:
Now, to get exactly 30 divisor.
- (p+2)² requires to give us 15 factors.
Therefore, we can have an equation p + 2 = p₁ × p₂²
where:
- p₁ and p₂ relate to different values of odd prime numbers.
So, for the least values of p + 2, Let us assume that:
p + 2 = 5 × 3²
p + 2 = 5 × 9
p + 2 = 45
p = 45 - 2
p = 43
Therefore, we can conclude that the smallest prime number p such that
p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.
Learn more about prime numbers here:
brainly.com/question/145452
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The answer is 30
Explanation:
So all of the angles in a triangle add up to 180 degrees and so if you split the triangle into separate triangles then you can add up the angles that are known and subtract from 180 to get the size of the missing angle e.g 90 + 56 = 146, 180 -146 = 34 for the other triangle 90 + 26 = 116, 180 - 116 = 64 and so 64 - 34 = 30
Answer:
A ray is known as a half-infinity line. As it starts from a point while the other end is pointing towards the direction till infinity.
As already discussed ray shows a direction as well, therefore, it is a vector quantity and is denoted by an arrow over the line name.
As shown below a ray can be drawn. therefore, which is starting from point A and continuing toward the right side infinity.
Step-by-step explanation:
I know math :)
