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Pepsi [2]
3 years ago
13

there are 5 people at a party. each person must shake hands once with every other person at the party. how many handshakes does

it take to do this?
Mathematics
1 answer:
Viefleur [7K]3 years ago
3 0
Here's why: 

<span>Say the 5 people are A, B, C, D, E </span>

<span>A shakes hands w/ B C D E </span>
<span>B shakes w/ C D E </span>
<span>C with D E </span>
<span>D with E </span>

<span>That's 10</span>
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lora16 [44]

Answer:

{(1,4) (2,8) (3,12) (4,16)}

4 0
3 years ago
The product of w and 2 is greater than or equal to 19.
madam [21]

Equation Form:

w x 2 \geq 19

Divide both sides by 2:

w \geq 9.5

So, w must be equal to or greater than 9.5 for this equation to work.

5 0
2 years ago
the population P (t) of a culture of bacteria is given by P (t) =-1710t +92,000t+10,000, where t is the time in hours since the
Akimi4 [234]

The question might have some mistake since there are 2 multiplier of t. I found a similar question as follows:

The population P(t) of a culture of bacteria is given by P(t) = –1710t^2+ 92,000t + 10,000, where t is the time in hours since the culture was started. Determine the time at which the population is at a maximum. Round to the nearest hour.

Answer:

27 hours

Step-by-step explanation:

Equation of population P(t) = –1710t^2+ 92,000t + 10,000

Find the derivative of the function to find the critical value

dP/dt = -2(1710)t + 92000

         = -3420t + 92000

Find the critical value by equating dP/dt = 0

-3420t + 92000 = 0

92000 = 3420t

t = 92000/3420 = 26.90

Check if it really have max value through 2nd derivative

d(dP)/dt^2 = -3420

2nd derivative is negative, hence it has maximum value

So, the time when it is maximum is 26.9 or 27 hours

5 0
3 years ago
The base of a pyramid has n sides. Write and expression for the number of faces of the pyramid
11111nata11111 [884]

Remark

The number of faces reaching out in the 3rd dimension of the pyramid = the number of edges on the base.

Givens

Number of edges (or sides on the base)= e

Number of faces = f

Formula

F = e + 1 Don't forget that the base is also a face.

5 0
3 years ago
The length of the rectangular tennis court at wimbledon is 6 feet longer than twice the width. if the court's perimeter is 240 f
KATRIN_1 [288]

Length (L): 2w + 6

width (w): w

Perimeter (P) = 2L + 2w

               240 = 2(2w + 6) + 2(w)

               240 = 4w + 12 + 2w

               240 = 6w + 12

               228 = 6w

                 38 = w

Length (L): 2w + 6   = 2(38) + 6   = 76 + 6   = 82

Answer: width = 38 ft, length = 82 ft

8 0
2 years ago
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