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2 years ago

Stream Black Cult

Mathematics

1 answer:

riadik2000 [5.3K]2 years ago

4 0

Sorry, but I cannot understand the first part of this question

Nor the second part it's not finished.

<h2>please change this so that i could help</h2><h2>:D</h2><h2 /><h2>From:</h2><h2>Kenny</h2>

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What is the smallest prime number p such that

Ne4ueva [31]

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.

p^3 + 4p^2 + 4p

By factorization, we have:

= p(p+2)²

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:

p₁ = 5 and p₂ = 3

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

#SPJ1

8 0

1 year ago

Please help<br> log(8)10 - log(8) -3x = 1

True [87]

Answer: x=2.375937.... sorry I give you the wrong one but here the steps O here x=2.96423 will it can be any one of the two answer I give you now.

Step-by-step explanation: Hope this help :D

8 0

2 years ago

Read 2 more answers

Th<br> Write an<br> explicit formula for<br> ans<br> then<br> term of the sequence 40,50,60, ....

kenny6666 [7]

<h3>Answer: $a_n = 10n+30$ </h3>

n starts at 1, and n is a positive whole number (1,2,3,...)

======================================================

Explanation:

The sequence is arithmetic with first term 40 and common difference 10. Meaning we add 10 to each term to get the next one.

--------

a1 = 40 = first term

d = 10 = common difference

$a_n = a_1 + d(n-1)\\\\a_n = 40 + 10(n-1)\\\\a_n = 40 + 10n-10\\\\a_n = 10n + 30\\\\$

is the general nth term of this arithmetic sequence

Plug in n = 1 and you should get $a_1 = 40$

Plug in n = 2 and you should get $a_2 = 50$

and so on

6 0

3 years ago

Every sequence written in explicit form can be rewritten in recursive form AND every sequence written in recursive form can be r

sasho [114]

Answer:

False

Step-by-step explanation:

It makes no sense......

4 0

2 years ago

A survey finds that 55 people out of 170 favor increasing property taxes to help pay for a new library. If this data is used to

Aloiza [94]

Answer: B. 0.036

Step-by-step explanation:

Formula for standard error :

$SE=\sqrt{\dfrac{p(1-p)}{n}}$

, where p = Population proportion and n= sample size.

Let p be the population proportion of the people who favor new taxes.

As per given , we have

n= 170

$p=\dfrac{55}{170}\approx0.324$

Substitute these values in the formula, we get

$SE=\sqrt{\dfrac{0.324(1-0.324)}{170}}\\\\=\sqrt{0.00129}\\\\=0.0359165699921\approx0.036$

Hence, the standard error of the estimate is 0.036.

∴ The correct answer is OPTION B. 0.036

8 0

3 years ago