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agasfer [191]
3 years ago
8

For which prime p,p4+8 is also a prime number

Mathematics
1 answer:
irina [24]3 years ago
5 0

Answer: p = 3.

Step-by-step explanation:

Ok, this must be:

p and p^4 + 8

ok, it may be useful to remember the first prime numbers:

2, 3, 5, 7, 11, 13...

So let's play with those and see what happens, this is solving a problem by brute force, this means that we will input those values in the equation p^4 + 8 and see if the result is also prime:

First, p = 2 is not the solution, because 2^4 + 8 = 24: not prime.

now let's try p = 3.

3^4 + 8 =  81 + 8 = 89, and 89 is a prime number, so the solution is p = 3.

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Fill in the blanks for this geometry problem. Translation, reflection, etc type of problem. 70 POINTS!
Shkiper50 [21]

The answer is translation of 2 units left and a reflection over the x-axis.

The triangle is translated 2 units left because the triangle moved two units to the left and it is reflected over the x-axis because the bottom triangle is like a reflection of the original triangle.

7 0
3 years ago
What is the equation of a horizontal line passing through the point (2, 10)?
Romashka [77]
Answer:

O x = 2

Step-by-step explanation:

Only x-intercepts will make the line horizontally and x = 2 is the line that passes through the point (2, 10)
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3 years ago
You have 24 months left until you graduate and you plan on buying yourself a new $20,000 car on graduation day. If you invest $3
shusha [124]

Answer: No, the money won't be enough to buy the car

Step-by-step explanation:

you plan on buying yourself a new $20,000 car on graduation day and graduation day is 24 months time. If you invest $300 a month for the next 24 months.

The principal amount, p = 300

He is earning 4% a month, it means that it was compounded once in four months. This also means that it was compounded quarterly. So

n = 4

The rate at which the principal was compounded is 4%. So

r = 4/100 = 0.04

It was compounded for a total of 24 months. This is equivalent to 2 years. So

n = 2

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount that would be compounded at the end of n years.

A = 300(1 + (0.04/4)/4)^4×2

A = 300(1 + 0.01)^8

A = 300(1.01)^8

A = $324.857

The total amount at the end of 24 months is below the cost of the car which is $20000. So he won't have enough money to buy the car

3 0
4 years ago
How can i solve this? please help.
iogann1982 [59]

Answer:SEARCH NYO SA GOGGLE

Step-by-step explanation:PLZZ

6 0
2 years ago
Is x²-x divisible by 2?​
bagirrra123 [75]

Answer:

Yes

Step-by-step explanation:

There are two cases: Case 1: x is even, so x can be modelled as a generic number 2n, where n is a positive integer. Clearly this product is divisible by two. ... Hence, it is safe to generalise that the term x²-x is divisible by 2 for any positive integer x.

3 0
3 years ago
Read 2 more answers
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