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3 years ago

How to work out a magic square

Mathematics

1 answer:

zloy xaker [14]3 years ago

8 0

Do you just need the 3 by 3? Then see attached.

To see how to make other ODD magic squares 1728.com/magicsq1.htm

To see how to make EVEN (divisible by 4) magic squares 1728.com/magicsq2.htm

To see how to make EVEN magic squares (NOT divisible by 4) 1728.com/magicsq3.htm

I think that should answer yor question.

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Given logbM=3.2 logbN=-1.5 and logbP=2.4 find the value of logb(m^2N/p)

artcher [175]

The formulas:
$\log_a (xy)=\log_a x + \log_a y \\
\log_a (\frac{x}{y})=\log_a x - \log_a y \\
\log_a (x^n)n \log_a x$

Expand the expression:
$\log_b (\frac{m^2n}{p})=\log_b m^2 + \log_b n - \log_b p= 2 \log_b m+\log_b n - \log_b p$

Plug the values into the expression:
$\log_b m=3.2 \\ \log_b n=-1.5 \\ \log_b p=2.4 \\ \\
2 \log_b m+\log_b n - \log_b p=2 \times 3.2-1.5-2.4=6.4-3.9=2.5 \\ \\
\boxed{\log_b (\frac{m^2n}{p})=2.5}$

3 0

3 years ago

Cal is buying T-shirts and shorts. T-shirts cost $12 and shorts cost $25. He plans on spending no more than $160 and wants to bu

Semenov [28]

12t (that's the $12 for a shirt) + 25s (25 dollars for shorts) < (or equal too) 126
The combination cost for the shirts and shorts has to be less than or equal to $126

t + s > (or equal too) 5

The total number of items has to be greater then or equal too or equal to 5

8 0

3 years ago

Question 1<br> Simplify<br> √-100?

Hitman42 [59]

Answer:

√100 = 10

so √-100 =

i√10

6 0

3 years ago

The scheduled arrival time for a daily flight from Boston to New York is 9:30 am. Historical data show that the arrival time fol

Galina-37 [17]

Answer:

Step-by-step explanation:

Let x be a random variable representing the flight arrival time from Boston to New York.

For a uniform probability distribution, the notation is

X U(a, b) where a is the lowest value of x and b is the lowest value of x

The probability density function, f(x) = 1/(b - a)

Mean, µ = (a + b)/2

Standard deviation, σ = √(b - a)²/12

From the information given, the time difference in minutes is 9:57 - 9:07 = 50 minutes. Therefore,

a = 0

b = 50

µ = (0 + 50)/2 = 25

σ = √(50 - 0)²/12 = 14.43

b) converting to minutes, it is 9:30 - 9:07 = 23 minutes

the probability that a flight arrives late(later than 9:30 am) is expressed as P(x > 23)

f(x) = 1/(50) = 0.02

P(x > 23) = (50 - 23)0.02 = 0.54

7 0

3 years ago

the new parking lot has spaces for 450 cars the ratio of spaces for full size cars to compact cars is 11 to 4 how many spaces ar

Bogdan [553]

The ratio 11:4 means that the total number of spaces is a multiple of 15 parts, this multiple is what value is assigned to each part.

450/15=30 so each part is equal to 30 spaces

Full sized car spaces are 11*30=330 spaces

Compact car spaces are 4*30=120 spaces.

6 0

3 years ago