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Marina CMI [18]
2 years ago
10

The size, S, of a tumor (in cubic millimeters) is given by S=2^t, where t is the number of months since the tumor was discovered

. Give units with your answers.
(a) What is the total change in the size of the tumor during the first 9 months?

Answer: The total change is
and its units = .

(b) What is the average rate of change in the size of the tumor during the first 9 months?

Answer: The average rate of change is

,
and its units = .

(c) Use an interval of 0.001 to approximate the rate of change at which the tumor is growing at t=9.

Answer: The rate is

,
Mathematics
1 answer:
nordsb [41]2 years ago
4 0
A) you just do 2^9 which is 512 cubic millimeters
b) using the average rate of change formula you get 56.78 cubic millimeters per month
c) I do not understand at all I am stuck on the same one<span />
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Customer: "I buy the same items every week and my bill is normally $90.00. Why am I now being charged $108.00 for the exact same
scZoUnD [109]
18
108.00- 90.00= 18.00
7 0
2 years ago
A solid cylindrical metal is melted and recast into cubes of metal of sides 3cm . The base radius of the initial cylindrical met
belka [17]

Answer:

808

Step-by-step explanation:

The volume of the initial cylindrical metal must be equal to the total volume of the cubes.

Let the number of cubes made be x. Therefore:

V_C = V_c * x

where V_C = volume of the cylinder

V_c = volume of each cube

Each of the cubes have sides of length 3 cm.

The volume of a cube is given as:

V_c = L^3

where L = length of side of cube

Therefore, the volume of each cube is:

V_c = 3^3 = 27 cm^3

The volume of a cylinder is given as:

V_C = \pi r^2h

where r = radius

h = height of the cylinder

The volume of the cylinder is:

V_C = \pi * 10.5^2 * 63 = 21823.55 cm^3

Therefore:

21823.55 = 27 * x

=> x = 21823.55 / 27

x = 808.27

Since the number of cubes can only be a whole number, the number of cubes that will be made is 808.

8 0
2 years ago
In a survey of adults in a certain country conducted during a period of economic​ uncertainty, ​% thought that wages paid to wor
Ghella [55]

Answer:

Hello your question has some missing parts below is the complete question

In a survey of 2065 adults in a certain country conducted during a period of economic​ uncertainty, 63​% thought that wages paid to workers in industry were too low. The margin of error was 4 percentage points with ​95% confidence. For parts​ (a) through​ (d) below, which represent a reasonable interpretation of the survey​ results? For those that are not​ reasonable, explain the flaw.

part a:(We are 95 % confident 63 % of adults in the country during the period of economic uncertainty felt wages paid to workers in industry were too low.)

part b:  We are 91 % to 99 % confident 63 % of adults in the country during the period of economic uncertainty felt wages paid to workers in industry were too low.

part c:  We are 95 % confident the proportion of adults in the country during the period of economic uncertainty who believed wages paid to workers in industry were too low was between 0.59 and 0.67. Is the interpretation reasonable?

part d: In 95 % of samples of adults in the country during the period of economic uncertainty, the proportion who believed wages paid to workers in industry were too low is between 0.59 and 0.67. Is the interpretation reasonable?

Answer : For part A :

The interpretation is flawed. No interval has been provided about the population proportion.  

part B :

The interpretation is flawed. The interpretation indicates that the level of confidence is varying.  

Part C

The interpretation is reasonable.

Part D

The interpretation is flawed. The interpretation suggests that this interval sets the standard for all the other intervals, which is not true.

Step-by-step explanation:

Given data: Population = 2065 ,

probability = 63% = 0.6,

margin of error = 4% = 0.04

confidence interval (95%) = ( 0.59,0.67 )  

For part A :

The interpretation is flawed. No interval has been provided about the population proportion.  this is because the confidence interval is not mentioned

part B :

The interpretation is flawed. The interpretation indicates that the level of confidence is varying.  this is because the confidence interval is a fixed value

Part C

The interpretation is reasonable.

this is because the confident level given is fixed

Part D

The interpretation is flawed. The interpretation suggests that this interval sets the standard for all the other intervals, which is not true.

3 0
1 year ago
What is the value of the expression when n = 3?<br> -2n(5+n - 8 -3n)
DIA [1.3K]

Answer:

54

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The diagram shows 3 identical circles inside a rectangle.
Leya [2.2K]

one side is 12 as the radius is 2 so x 2 for diameter which is 4. there are 3 circles so times it by 3 which = 12.

the other side is 4 as one circle daimeter is 4.

4 x 12 = 48.

I am not exactly sure how to do the second part but i hope this helps u

3 0
1 year ago
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