Answer:
-6, -2, 2, 6, 10
Step-by-step explanation:
10^1 = 10
10^2 = 100 {10 x 10 = 100}
10^3 = 1000 {10 x 10 x 10 = 1,000}
10^4 = 10000 {10 x 10 x 10 x 10 = 10,000}
The exponent represents how many zeros will be used in the answer. For example, 10^6 would include 6 zeros in it’s answer; 1,000,000.
Answer:
the rug is 8.5 feet
Step-by-step explanation:
you need to find the slope by using 2 points (0,3) (-3,0)
m= (y2-y1)/(x2-x1) = (-3)/(-3)=1
equation of the line in point slope form
y-y1 = m (x-x1)
y-0 = 1 (x- -3)
y = x+3
You have to use carefully Venn Diagram to solve this problem:
n, here below means number of students
GIVEN
----------
n(Cigarettes) = 645
n(Alcohol) = 859
n(Drugs) = 207
n(Alcohol ∩ Cigarettes) = 397
n(Alcohol ∩ Drugs) = 109
n(Alcohol ∩ Cigarettes ∩ Drugs) = 85
And 274 Students "Clean from any of the above"
Let x be the unknown number, that is n(Cigarettes ∩ Drugs)
Start by drawing 3 intersecting circles, one for Alcohol, another for Cigarettes and the 3rd for Drugs:
1) n( Alcohol ONLY) =859-397-109-85 = 268 (only Alcohol)
2) n( Cigarettes ONLY) =645-397-85 - x= 163 - x (only Cigarettes)
3) n( Drugs ONLY) =207- 109 -85 - x = 13 - x (only Drugs).
(Remember that there are 274 Students clean, not shown in Venn)
Total of students (we need it to solve):
TOTAL n(STUDENT) = Alcohol Alone+ Cigarette Alone+ Drug Alone + 274
TOTAL n(STUDENT) = 268 + (163-x) + (13-x) + 274
TOTAL n(STUDENT) = 718 -2x
(hope you can get the TOTAL n(STUDENT) to be able to find x, which is the
n(Drugs ∩ Cigarettes)
