what famous ancient greek mathematician came up with an approximate value of pi by circumscribing and inscribing circles in and around regular polygons?

Answers

Answer 1
Answer: Archimedes came up with \pi
Answer 2
Answer: Archimedes came up with an approximate value of pi. 


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Use the order of operations to evaluate the expression below. 9 + 16 x (6 - 5) x (7 + 9) - 8

Answers

9+16x(6-5)x(7+9)-8
  9+16x1x16-8
      9+256-8
        265-8
         257

Answer:2

Step-by-step explanation:

i got it wrong

Find the value of the combination.A farmer buys three cows, two pigs, and ten sheep from a seller who has seven cows, four pigs, and ten sheep. How many choices of animals does he have?

54,264
210
42

Answers

It's past my bed-time and there's a whopping 5 points at stake, so
I'm going to violate my own #1 Prime Cardinal Rule here, and just
give a stripped down answer without going through a full explanation.

The number of combinations of 3 cows out of 7 is (7·6·5) / 3!  = 35 .

The number of combinations of 2 pigs out of 4 is  (4·3)/2  =  6

The number of combinations of 10 sheep out of 10 is  1 .

The number of ways he can select his animals is (35 · 6 · 1)  =  210 .

Factor the expression: 2n³ + 22n² + 60n

Answers

Answer:

2n(n + 5)(n + 6)

Step-by-step explanation:

given the expression

2n³ + 22n² + 60n ← factor out the common factor of 2n from each term

= 2n(n² + 11n + 30) ← factorise the quadratic

consider the factors of the constant term (+ 30) which sum to give the coefficient of the n- term (+ 11)

the factors are + 5 and + 6 , since

+ 5 × + 6 = + 30 and 5 + 6 = + 11

use these factors to split the n- term

n² + 5n + 6n + 30 ( factor the first/second and third/fourth terms )

= n(n + 5) + 6(n + 5) ← factor out (n + 5) from each term

= (n + 5)(n + 6)

Then

2n³ + 22n² + 60n

= 2n(n + 5)(n + 6) ← in factored form

what is the total pay for 12 hours of work at a base rate of p per hour plus a temporary raise of $2.50 per hour?

Answers

Answer:

$ 12(p+2.5)

Step-by-step explanation:

Given: base rate of pay is  p per hours plus a temporary raise of $2.50 per hour.

To Find: total pay for 12 hours of work

Solution:

Total hours for which work is done =\$12\text{hours}

base rate of payment =   \text{p} per \text{hours}

temporary raise = \$\text{2.50 per hour}

Total rate of payment = \$ (p+2.5)

Total pay = \text{total time work done}*\text{total pay rate}

putting values

              = \$12(\text{p+2.5})

therefore,

Total pay for 12 hours of work is \$12(\text{p+2.5})

12(p+2.5)

Since he makes p + 2.5 per hour, and he is working for 12 hours, the above is how you would express it as a formula.

A snowbank that is 6 inches deep is melting at a rate of 0.5 inch per hour. Write a linear function to model the scenario and identify the domain and range of the function.

Answers

Answer:

y = -0.5x + 6, Domain [0,12] and Range [0, 6]

Step-by-step explanation:

The slope in a linear function represents the rate of change. Since the amount of snow is decreasing (indicating a negative slope) at 0.5 inches an hour, our slope would be -0.5.

Our y intercept, 6, would be the starting amount of snow. At 0 hours, no snow has been melted.

Our domain is [0,12] these are the x values from where at zero there is 6 inches of snow and at 12 there is 0 inches of snow.

Finally, our range is [0,6]. Since there cannot be no more than 6 or less than 0 inches of snow, our range is [0,6]

Hope this helped!

Which fraction is not equivalent to 16/24 A. 2/3 B. 5/8 C. 32/48 D. 4/6

Answers

b) 5/8
because:
2/3 x 8 = 16/24
32/48 divided by 2 = 16/24
4/6 x 4 = 16/24
so b) 5/8 it is


5/8 because 
If you divide 16 by 8 then you get 2 and if you divide 24 by 8 you get 3 this equals=2/3
32/48- If you multiply 16 by 2 you get 32, if you multiply 24 by 2 you get 48 which gives you an answer to 32/48
4/6- If you divide 16 by 4 you get an answer of 4, if you divide 24 by 4 you get an answer of 6, which gives you an answer of 4/6