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Alexxx [7]
3 years ago
5

In a lab, 450 cells are present at the beginning of an experiment. The number of cells increased by 18% each hour. a) Write an e

xponential growth model giving the number of cells y present t hours after starting the experiment. b) Estimate the time when the number of cells is 1,030.
Mathematics
1 answer:
malfutka [58]3 years ago
8 0

Answer:

Step-by-step explanation:

y = 450 × 1.18^t

:::::

450 × 1.18^t = 1,030

1.18^t = 1,030/450 = 103/45

t×ln(1.18) = ln(103/45)

t ≈ 5 hours

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victus00 [196]

Answer:

0.79

Step-by-step explanation:

Here,  

Let X be the event that the flights depart on time

Let Y be the event that flights arrive on time

So,  

X∩Y will denote the event that the flights departing on time also arrive on time.

Let P be the probability  

P(X∩Y)=0.65

And

P(X)=0.82

We have to find P((Y│X)

We know that

P((Y│X)=P(X∩Y)/P(X) )

=0.65/0.82

=0.79

So the probability that a flight that departs on schedule also arrives on schedule is: 0.79

7 0
3 years ago
A $3,500 loan, taken now, with a simple interest rate of 5% per year, will require a total repayment of $3,850. At what time t w
Alecsey [184]

Answer:

Roughly 2 years

Step-by-step explanation:

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5 0
2 years ago
Read 2 more answers
What is the mean of data set 32 25 25 32 32 10 -10 25​
Marat540 [252]

Answer:

21.375.

Step-by-step explanation:

The mean of an equation is the sum of all total numbers in the set divided by the total numbers in the set.

32 + 25 + 25 + 32 + 32 + 10 + -10 + 25 = 171.

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4 0
3 years ago
Set F1 = 5N at 0 degrees, F2= 5N at 90 degrees, F3 = 5N at 270 degrees and run the simulation. Using trigonometry, what net forc
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Answer: find the solution in the explanation

Step-by-step explanation:

Let's use resolution of forces by resolving into x - component and y- component.

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Sum of forces = F1 - F3 - F4cos 15

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Y - component

Sum of forces = F2 + F4 sin 15

Sum of forces = 0

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Simulating F4 back into the equation

Sum of forces = F1 - F3 - F4cos 15

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Does the angle formed approximate 15 degrees ? NO

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3 years ago
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