Answer:
About 5043.58
Step-by-step explanation:
The standard form for an exponential decay after t time is:
Where a is the initial value, r is the rate decay, t is the time that has passed, and d is the amount of time it takes for 1 cycle.
The initial value is 9800. So a = 9800.
The quantity cuts in half. So, r = 1/2.
And it cuts in half every 6 days. For this question, we will convert this to hours. 6 days = 144 hours. So, we can let d = 144, where t will be in hours.
Therefore, our function is:
Where t is the amount of time that has passed, in hours.
Then the quantity left after 138 hours will be:
Answer:
39 apples
Step-by-step explanation:
45 is 3/4 or 75% of an hour. So, multiply 52 by 75% to find the answer.
75% ÷ 100 = 0.75
52 x 0.75 = 39
Answer:
The probability is 10/121
Step-by-step explanation:
In this question, we are tasked with calculating probability.
The probability to be calculated is that we have an ordered selection of picking a red marble after which we pick a yellow marble.
Firstly let us know the total number of marbles we have. That will be 4 + 5 + 2 = 11 marbles
Probability of picking a red marble will be 5/11 while the probability of picking a yellow marble will be 2/11
Now, the probability of picking a red marble before a yellow marble will be mathematically equal to; P(r) * P(y) = 5/11 * 2/11 = 10/121
Ok so I’m thinking that s = 93 because first I multiply first sides of the equation by -4, which was s-61=32. Then I moved the constant to the right hand side and change its sign which will be s=32+61. After I did all of that I added the numbers together and got 93..... therefore s=93
4x + 3y = 9
4x - 4x + 3y = -4x + 9
3y = -4x + 9
3 3
y = -1¹/₃x + 3
