Answer: See below
<u>Step-by-step explanation:</u>
y = a(b)ˣ
- y: final population of zombies
- a: initial population of zombies
- b: rate of decrease
- x: number of hours
Given: a = 500,000 b = 50% (0.5)
y = 500,000(0.5)ˣ
Since we want to know the number assassinated (A), subtract the total from the final population of zombies
A = 500,000 - y
a) Equation: 500,000 - 500,000(0.5)ˣ
b)
(Graph attached)
c) The assassins will earn 100,000 + 2(499,985) = $1,099,970 after 15 hours.
The number of zombies needed to assassinate in order to earn $1,000,000:
100,000 + 2z = 1,000,000
2z = 900,000
z = 450,000
d) How long will it take to eliminate all of the zombies?
The population of zombies is zero when x = 20 hours
How much money did the assassinators earn?
100,000 + 2(500,000) = $1,100,000
Answer:
Three cubes
Step-by-step explanation:
The cubes have to be indistinguishable and all orientations of one cube are also have to be indistinguishable.
All ways of connecting two cubes result in the same shape. So answer is larger than two.
After connecting two cubes, there are ten faces where the third cube can be attached, and two faces which are connected, accounting for all 12 faces of two cubes.
Of the 10 exposed faces, exactly two are on opposite ends, both leading to the same straight line figure. The other 8 faces all lead to an L shape, and all L shapes can be rotated to be identical.
Hence, three cubes can only make a straight shape or an angled shape.
Four cubes can make a straight shape, a L shape, a Γ shape (but flipping it over through 3 dimensions makes L and Γ identical), a T shape, and a square shape. That is either four or five different objects depending on if they can be lifted from the table. Anyway, it is more than two.
Answer:
1. force applied to the cart
2. acceleration of the cart
3. mass of the cart
4. acceleration of the cart
Step-by-step explanation:
correct on edge !
The probability P(E) is 13/15.
According to the statement
we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}
And we have to find the probability P(E).
So, For this purpose
Recall the formula for the probability of an event E in case when all outcomes are equally likely:
P(E)= n(E) /n(S)
in which S is the sample space.
But we have the S = {1, 3, 5, 7, 9},
so, n(S) = Sum of all outcomes / number of outcomes
n(S) = 1+3+5+7+9 /5
n(S) = 25 /5
n(S) = 5 and
For n(E) = Sum of all outcomes / number of outcomes
n(E) = 1+5+7 /3
n(E) = 13 /3
n(E) = 13 /3
Substitute these values in the above written formula then
P(E)= n(E) /n(S)
P(E)= (13/3)/ 5
P(E)= 13 /15
So, The probability P(E) is 13/15.
Learn more about the PROBABILITY here brainly.com/question/25870256
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Answer:
3
Step-by-step explanation:
