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garik1379 [7]
2 years ago
7

A high-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. Suppose that the radius

r increases at the rate of 0.07 inches per second, and that r = 36 inches at time t = 0. Determine the equation that models the volume V of the balloon at time t, and find the volume when t = 400 seconds.
Mathematics
1 answer:
lord [1]2 years ago
7 0
The increase of the radius is a linear increase since we have the constant rate of 0.07 inches per second

The equation for a linear growth/decay is given by the form y=mx+c where m is the rate of increase and c is the value of y when x=0

We have 
m = 0.07 
c=36 when t=0

So the equation is r=0.07t+36

The length of the radius when t=400 seconds is
r=0.07(400)+36
r=64 inches
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3 years ago
10 people always get on a bus in the same order and sit on the same places. what is the probability that, if the 1st person has
kap26 [50]

The probability that the 10th will be able to sit on his/her original seat when the 1st person has randomly changed his/her seat is 7/9

 

Probability :

In Mathematics, Probability stands for the ratio of the number of favorable outcomes to the total number of outcomes in a random experiment. It is used to predict how likely an event can happen.

Probability of an event,

P(E) = No of favorable outcomes / total number of outcomes

Here we have,

10 people always get on a bus in the same order and sit in the same places.

The 1st person has randomly changed his/her seat

Except for 1 remaining number of seats is 9

If 1st person changes his/her place with the remaining 9 seats the number of ways that 1st person can be seated is 9  

In 9 ways 10th will be able to sit on his/her original seat when the 1st person is seated in 2 to 9 seats i.e 7 seats      

Therefore,

The number of favorable outcomes that the 10th person will be able to seat in his/her original seat = 7  

From the above observations,

The probability that the 10th will be able to sit on his/her original seat

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8 0
9 months ago
What is the answer for this problem: 8540 X 6789
icang [17]
The answer is 57,978,060
4 0
3 years ago
Read 2 more answers
PLS HELP QUICKLY !!!!!!
Olegator [25]
Answer: Choice C) 

--------------------------------------

mean = xbar = (2400+1750+1900+2500+2250+2100)/6
mean = 2150

Subtract the data values from the mean to get

2400-2150 = 250
1750-2150 = -400
1900-2150 = -250
2500-2150 = 350
2250-2150 = 100
2100-2150 = -50
The differences are: 250, -400, -250, 350, 100, -50 

Then you square those values and add up the squares

(250)^2 +  (-400)^2 +  (-250)^2 +  (350)^2 +  (100)^2 +  (-50)^2 = 420,000
3 0
2 years ago
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Renita started her homework at 3:45 P.M. She worked for 2 hours and 15 minutes. What time did she finish her homework?
Flauer [41]

Answer:

6:00 or 6 o'clock

Step-by-step explanation:

1) Add 2 to the hours. So, 3+2=5

2) Add 15 minutes to 45 minutes. So, 15+45=60

3) 60 minutes is an hour, so therefore add one more hour. 5+1=6

4) There are 6 hours and 0 minutes.

So, the time that Renita finished her homework was 6:00.


Hope this helps!!                                                             ~Carley R.

8 0
3 years ago
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