Answer:
63
Step-by-step explanation:
Given:
a set of six elements
The solution would be like this for this specific problem:
number of subsets of n elements = 2^n
(2^6) - 1
= 64 – 1
= 63
Answer:
y=-1/5x-8/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-(-1))/(2-(-3))
m=(-2+1)/(2+3)
m=-1/5
y-y1=m(x-x1)
y-(-1)=-1/5(x-(-3))
y+1=-1/5(x+3)
y=-1/5x-3/5-1
y=-1/5x-3/5-5/5
y=-1/5x-8/5
Just measure the width (or height, if you'll be stacking the pennies
a mile high) of a penny, then divide 5280 feet by whatever you find.
This is a great activity for a class, and in fact a good way to start
the project. First take one penny, and work out an answer. Then get
100 pennies, and measure them; do the same calculation to see how many
pennies it will take to make a mile. There will probably be a
difference, because you can measure 100 pennies more accurately than a
single penny. Or maybe you have a micrometer that will measure one
penny precisely. Which is better can be a good discussion starter. And
don't forget to try it in metric, too.
Just to illustrate, using a very rough estimate of a penny's width,
let's say a penny is about 3/4 inch wide. The number of pennies in a
mile will be
5280 ft 12 in 1 penny
1 mile * ------- * ----- * ------- = 5280 * 12 * 4/3 pennies
1 mi 1 ft 3/4 in
This gives about 84,480 pennies. (This method of doing calculations
with units is very helpful, and would be worth teaching.)
If we measure 100 pennies as 6 ft 1 in, we will get
5280 ft 100 pennies
1 mile * ------- * ----------- = 5280 * 100 * 12 / 73 pennies
1 mi 6 1/12 ft
This gives us 86794.5205 pennies in a mile.
X-4y=0
Turn to slope intercept form y=mx+b
-4y=-x
y=x/4. Slope in this case is 1/4.. because it’s 1x/4 and 1/4 is in front of x. So the slope is 1/4
