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ryzh [129]
3 years ago
15

if n is the largest two digit nuber that can be expressed as the product of two prime numbers greater than 3, what is the value

of n?
Mathematics
1 answer:
sasho [114]3 years ago
6 0

List of the first few prime numbers greater than 3:

5, 7, 11, 13, 17, 19, 23, 29

Now find the combination that you can multiply and still have a 2 digit number:

5 x 7 = 35

5 x 11 = 55

5 x 13 = 65

5 x 17 = 85

5 x 19 = 95

5 x 23 = 115 ( 3 digit number, can't use).

7 x 5 = 35

7 x 11 = 77

7 x 13 = 91

7 x 19 = 133 ( 3 digit number, can't use).

The largest 2 digit number would be 5 x 19 = 95

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mamaluj [8]
<h2>Answer:</h2>

0 - 17i

<h2>Step-by-step explanation:</h2>

Given expression;

i⁸⁰ + i³⁸ - i17

To express the expression in the form a+bi;

<em>i. Rewrite the expression such that it contains terms in i²</em>

(i²)⁴⁰ + (i²)¹⁹ - i17

<em>ii. Solve the result from (i) above using the identity i² = -1</em>

We know that the square root of -1 is i. i.e

\sqrt{-1} = i

<em>Squaring both sides gives</em>

<em>=> </em>(\sqrt{-1} )^{2} = i^{2}<em />

=> -1 = i²

Therefore,

i² = -1

<em>Substitute i² = -1 in step (i) above</em>

(-1)⁴⁰ + (-1)¹⁹ - i17

<em>(iii) Solve the result in (ii)</em>

We know that the when a negative number is raised to the power of an even number, the result is a positive number. If it is raised to the power of an odd number, the result is a negative number. Therefore,

(-1)⁴⁰ + (-1)¹⁹ - i17 becomes

1 + (-1) - i17

0 - i17

<em>(iv) Write the result from (iii) in the form a+bi</em>

0 - 17i

5 0
3 years ago
One flickeronie and 2 flickeronies
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Mr.Adams had 24 guests at his house for a party. Each guest brought one item. One-third of the guest bought drinks, one-fourth o
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Answer:

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Step-by-step explanation:

Given;

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Find;

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To solve this problem, all one has to do is multiply the fraction of guests who brought drinks by the total amount of guests.

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If i lose 5 pounds in one week and i weigh 165 pounds how much will i weigh after 5 weeks
GarryVolchara [31]

Answer:

you would weigh 140 lbs

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