Answer:
$318.17, out of state college is $161.12 cheaper per month
Step-by-step explanation:
72*24 = 1728 + 410*4 = 1728 + 1640 = 3368 + 450 = 18/12 = $318.17
8700+650*9 = 8700 + 5850 = 14550/9 = 1616.66
8500+400*9 = 8500 + 3600 = 12100 + 1000 = 13100/9 = 1455.56
1616.67 - 1455.56= $161.11 (use $161.12)
The area of a regular octagon is given by:
A = (4) * (L) * (ap)
Where,
L: side
ap: apotema
Substituting values we have:
A = (4) * (19) * (16)
A = 1216 square inches
Answer:
The area of a regular octagon with an apothem 16 inches long and a side 19 inches long is:
A = 1216 square inches
Actually there is enough information to solve this
problem. First, let us find the total per row and per column.
(see attached pic)
P(Grade 10 | opposed) with P(opposed | Grade 10)
P(Grade 10 | opposed) = Number in Grade 10 who are opposed
/ Total number of Opposed (column)
P(Grade 10 | opposed) = 13 / 41 = 0.3171
P(opposed | Grade 10) = Number in Grade 10 who are opposed
/ Total number in Grade 10 (row)
P(opposed | Grade 10) = 13 / 32 = 0.4063
Therefore:
P(Grade 10 | opposed) IS NOT EQUAL P(opposed | Grade 10),
hence they are dependent events.
Answer:
P(Grade 10 | opposed) < P(opposed | Grade 10)
A)
x^2 - 6x + c = - 5 + c
using a^2 - 2ab + b^2 = (a-b)^2
so
6x = 2 * x * 3
so
c = 9
Answer
c = 9
b)
substitute c = 9
x^2 - 6x + 9 = - 5 + 9
(x - 3)^2 = 4
Answer:
(x - 3)^2 = 4
c) solve for x
(x - 3)^2 = 4
(x - 3)^2 = 2^2
so
x - 3 = 2
x = 5
and
x - 3 = -2
x = 1
Answer: x = 1 , 3
Answer:
4
Step-by-step explanation:
solving equation 1
- log125 base 5√5=x
- [5√5=√(25×5)=√125]
- log125 base 125=x
- [From one of the principles of logarithm " logA base a =1]
- therefore, log125 base 125=1
- x=1
solving equation 2
- log 64 base 2√2=y
- [2√2=√(4×2)=√8]
- log 64 base√8=y
- 64=(√8)^y
- 64=8^(½y)
- 8²=8^(½y)
- (8 cancels in both equations and I evaluate the powers figures)
- 2=½y
- y=2×2=4
the product of x and y=x•y=1×4=4
