Answer: There are 495 possible different sets of answers the could contain exactly 8 correct answers of false.
Basically, we are looking for the number of different ways of selecting 8 objects out of a set of 12 objects. Our objects are answers of false and the set is the test.
This is a combination problem. The formula would be:
12! / (8! x 4!) = 495
Answer:
12x+8-30x+5=2x-16-42x+24
-18x+13=-40x+8
22x=-5
x=-5/22
hopefully i did it with out mistakes
Answer: In 10 hours, 4000 bacteria will be present.
Step-by-step explanation:
Given that 2000 bacteria grew to 2400 in 2 hours,
growth/ increase rate = 2400 - 2000
= 400 bacteria increase in 2 hours
Per hour is therefore 400/2 = 200 bacteria increase per hour
If the bacteria increases by 200 per hour
If 200 = 1 hour
X = 10 hours
We cross multiply:
X = 200 x 10
X = 2000
Therefore, a culture with 2000 bacteria at the same growth rate will have increased by additional 2000 in 10 hours
So, after 10 hours, number of bacteria will be 2000 + 2000 = 4000 bacteria
Answer:
y = 2(x+5)²- 60
Step-by-step explanation:
f(x) = ax² +bx +c, is the standard form
f(x) = a(x - h)² +k , is the vertex form where the (h, k) is the vertex
y = 2x²+20x -10 ,
factor 2 from the two terms
y = 2(x² +10x) -10,
what perfect square has x² +10x? ... x²+10x +25 = (x+5)²
y = 2(x²+10x+25 )- 50 -10,
add 25 in parenthesis to get a perfect square yet subtract 2*25 = 50 so the equation will stay the same
y = 2(x+5)²- 60,
the equation has the vertex at (-5, -60)
Answer:
0.75 or 3/4
Step-by-step explanation:
f(-2) = 3•2^-2
f(-2) = 3•0.25
f(-2) = 0.75 or 3/4
Hope this helps! :)
