Answer:
Step-by-step explanation:
<u>Combination for the school government requires:</u>
- 5 out of 8 seniors = 8! / 3!5! = 6*7*8/2*3 = 7*8 = 56
- 4 out of 9 juniors = 9! / 4!5! = 6*7*8*9/2*3*4= 7*2*9 = 126
- 3 out of 12 sophomores = 12! / 3!9! = 10*11*12/2*3 = 10*11*2 = 220
- 2 out of 7 fishermen = 7! / 2!5! = 6*7/2 = 21
<u>So number of total ways is:</u>
Answer:
13
Step-by-step explanation:
f(-3)=2(-3)-5(-3)+4. = -6+15+4= 13. f(a)=13
X^2 + y^2 - 2x + 7y + 1 = 0
(x^2 - 2x) + (y^2 + 7y) + 1 = 0
(x^2 - 2x + 1) + (y^2 + 7y) + 1 = 0+1
(x^2 - 2x + 1) + (y^2 + 7y + 49/4) + 1 = 0+1+49/4
(x - 1)^2 + (y + 7/2)^2 + 1 = 0+1+49/4
(x - 1)^2 + (y + 7/2)^2 + 1-1 = 0+1+49/4-1
(x - 1)^2 + (y + 7/2)^2 = 49/4
(x - 1)^2 + (y + 7/2)^2 = (7/2)^2
The final answer is choice B
The growth formula is:
y = a•(1+x)^(t/p)
y is the end result
a is the initial amount
x is the percent growth as a decimal
t is the total amount of time
p is how often the growth occurred
Note that t and p both need to be the same units, whether that be seconds or days or months or years etc.
So,
y = 380000 • (1.065)^(10/1)
y = 380000 • 1.87713746527
y = 713312.236802
y = 713312