Answer:
Need a picture to answer your question.
Answer:
Step-by-step explanation:
P(2 heads) = P(first flip = head)*P(second flip = head)
=> 
= 
P(1 head) = P(first flip = head)*P(second flip = tail) + P(first flip = tail)*P(second flip = head)
= 
P(no heads) = P(first flip = tail)*P(second flip = tail)
=
E(winning) =
= 
=
Answer:
A, 210
Step-by-step explanation:
7 x 5 = 35 divided by 2 = 17.5 x 12 = 210
Formula of a triangle:
Bh x 1/2 (basically dividing by 2)
Your base is the length on the bottom your height is that line in the middle of the triangle. Multiply those then divide by two to get the area always. But since its long and its a prism you have to multiply by 12.
Volume will always have the unit 3 in it and the measuring unit will depend on what is says for example in this problem its inches so its inches cubed (3).
22) D. 5 miles
23) E
24) C. 4:30
Answer:
Step-by-step explanation:
Let the rate at which the bacteria grow be represented by the exponential equation
P(t) = P0e^kt
P(t) is the population of the bacteria after time t
P0 is the initial population
k is the constant of variation
t is the time
If the initial Population is 160 bacteria's, them the equation becomes;
P(t) = 160e^kt
b) if After 5 hours there will be 800 bacteria, this means
at t = 5 p(t) = 800
Substitute and get k
800 = 160e^5k
800/160 = e^5k
5 = e^5k
Apply ln to both sides
Ln5 = lne^5k
ln5 = 5k
k = ln5/5
k = 0.3219
Next is to calculate the population after 7hrs i.e at t = 7
P(7) = 160e^0.3219(7)
P(7) = 160e^2.2532
P(7) = 160(9.5181)
P(7) = 1522.9
Hence the population after 7houra will be approximately 1523populations
c) To calculate the time it will take the population to reach 2790
When p(t) = 2790, t = ?
2790 = 160e^0.3219t
2790/160 = e^0.3219t
17.4375 = e^0.3219t
ln17.4375 = lne^0.3219t
2.8587 = 0.3219t
t = 2.8587/0.3219
t = 8.88 hrs
Hence it will take approximately 9hrs for the population to reach 2790
