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olasank [31]
3 years ago
14

The size S of a tumor in mm cubed is given by S=2^t, where t is the number of months since the tumor was discovered a: what is t

he total change in the size of the tumor during the first 6 months?
and b: what is the average rate of change in the size of the tumor during the first 6 months?
and c: estimate the rate at which the tumor is growing at t=6?
Mathematics
1 answer:
Irina18 [472]3 years ago
7 0
When t = 0, S = 2^0 = 1 
<span>When t = 2, S = 2^2 = 4 </span>
<span>Change in size = 4 - 1 = 3 cubic mm. </span>

<span>Average rate of change = (S(2) - S(0))/(2-0) = (4-1)/2 = 1.5 cubic mm/month </span>
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3 0
3 years ago
The volume of a sphere is 267.95 m2. To the nearest meter, what is the radius of the sphere? Use
Novosadov [1.4K]

Answer:

4m

Step-by-step explanation:

  1. v=4/3 pi r^3
  2. substitute 267.95=4/3×3.14×r^3
  3. 267.95= 12.56r^3/3
  4. multiply by the reciprocal on both sides 64=r^3
  5. find the cuberoot on both sides to remove the cube hence 4=r
3 0
3 years ago
A radioactive substance decays exponentially: The mass at time t is m(t) = m(0)e^kt, where m(0) is the initial mass and k is a n
forsale [732]

Answer:

mean life = 8264.5 s

Step-by-step explanation:

k = - 0.000121

The relation is given by

m = mo e^{kt}

Now, the mean life is the life time for which the sample retains.

The mean life is the reciprocal of the decay constant.  

The relation between the mean life and the decay constant is

\tau =\frac{1}{k}\\\\\tau = \frac{1}{0.000121} = 8264.5 seconds

5 0
3 years ago
I need help on these two question
Digiron [165]

3.

A' (30, 5)

B' (40, 5)

C' (40, 0)

D' (30, 0)

4 0
3 years ago
How expensive is Maui? A newspaper gave the following costs in dollars per day for a random sample of condominiums located throu
Leviafan [203]

Answer:

mean=134.3

median=65.5

mode=60

Step-by-step explanation:

Mean is computing by adding the all data values and then divided by number of values

mean=sum of all values/number of values

There are 20 data values.

mean=(88+50+66+60+360+55+500+71+41+350+60+50+250+45+45+125+235+65+60+110)/20

mean=2686/20

mean=134.3

For calculating median we arrange the data in ascending order

41  45  45  50  50  55  60  60  60  65  66  71  88  110  125  235  250  350  360  500

n/2=20/2=10 is an integer

So, the median is the average of n/2 and (n/2)+1 value

The median is average of 10th and 11th value

median=(65+66)/2

median=65.5

Mode is the most repeated value and we see that number of times the values are repeated are

45= 2 times

50= 2 times

60= 3 times

Thus, the most repeated value is 60 and it is the mode of data.

Mode=60

4 0
3 years ago
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