Oddly enough, when y=-1/3, the value of y is -1/3.
When x = -1/3, the value of y is
.. y = 3*(-1/3) -2
.. = -1 -2
.. = -3
When x = -1/3, the value of y is -3.
1) This is a combination, so use ⁴⁰C₂.
⁴⁰C₂ = 780
There are 780 handshakes in total.
2) I got my solution by using the combinations formula. Or another way you could do this is to add up... 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31... +1. You will end up with 780 (I did this to double check my work).
3) The quickest way to figure this out if Drake invited 1,000 people is to use the natural numbers formula = n(n+ 1)/2.
Plug the numbers in: 999(1000)/2 = 499,500
If Drake invited 1,000 people, there would be 499,500 handshakes.
Answer:
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Step-by-step explanation:
The volume of a hemisphere (
), measured in cubic centimetres, is obtained from this formula:
Where 
is the radius of the hemisphere, measured in centimetres.
We know that radius is the half of the diameter (
), measured in centimetres, then:
(
)
Now, we get the volume of each hemispherical bowl:
The total volume of six hemispherical bowl is:
From Physics we know that 1 litre equals 1000 cubic centimetres. Then:
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Answer:
-7
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
consider f(x)=y
y=-3x+7
compare with y=mx+c
slope m=-3
