Exposure to ionizing radiation is known to increase the incidence of cancer. One thousand laboratory rats are exposed to identical doses of ionizing radiation, and the incidence of cancer is recorded during subsequent days. The researchers find that the total number of rats that have developed cancer t months after the initial exposure is modeled by for months. Find the rate of growth of the number of cancer cases at the 7th month.

Answers

Answer 1

Missing information :

The model was omitted from the question ; the possible model relating to the question was browsed online and could possibly be :

N(t) = 1.07t^2.3 for 0 ≤ t ≤ 10 months

Answer:

30.9 cases per month

Step-by-step explanation:

Given the model to determine the number of rats that have developed cancer after initial exposure ; N(t) = 1.07t^2.3

N(t) = 1.07t^2.3

Take the first derivative of N with respect to t to obtain the rate of change ;

N'(t) = (1.07)(2.3)t^2.3-1

N'(t) = (1.07)(2.3)t^1.3

The rate of growth of cancer cases at the 7th month can be calculated thus :

t = 7

N'(7) = (1.07)(2.3)t^1.3

N'(7) = 1.07 * 2.3 * 7^1.3

N'(7) = 1.07 * 2.3 * 12.549529

N'(7) = 30.884

The rate of growth of cancer at the 7th month is 30.9 cases per month.


Related Questions

please help..I dont get this and please Dont put a Link below please.

Answers

Answer:

x = 27, y = 74

Step-by-step explanation:

Hi again :)

Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.

5x + 4 + x + 14 = 180

6x + 18 = 180

6x = 162

x = 27

Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.

5(27) + 4 = 2y - 9

135 + 4 = 2y - 9

139 = 2y - 9

148 = 2y

y = 74

As always, lmk if you have questions.

Sarah normally earns £600 each month. In December she is given a bonus of 1/5 of her normal pay. How much will she now earn this month?

Answers

Answer:

720

Step-by-step explanation:

First you divide 600 by 5 to get 1/5 if the 600 which is 120

Then you add the 120 to the 600 which is your answer 720

What is the value of x in the triangle?

I need help pls :)

Answers

Answer:

17

Step-by-step explanation:

using Pythagorus theroem, you do (√514)² - 15².

This gives you 289 which you then need to square root, giving you 17

The answer your looking for is B explanation : hope this helps :)

If K is the center of the circle, which line segment is the radius?

Answers

the line segment KN is the radius

Matthew bought flowers for his mother. Exactly 1/4 of the roses were white. How many roses were white?

Answers

Answer:

1/4

Step-by-step explanation:

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which of the following numbers is a prime number greater than 23?
a)17 b)24 c)25 d)29 please no links​

Answers

your answer is going to be d)29

Ms. Nelson wants to buy a stair runner carpet to make it easier for her dog, Max, to go up and down the stairs. There are 15 stairs in Ms. Nelson's staircase, and each stair needs 60 centimeters of carpet. How many meters long will Ms. Nelson's stair runner be?

Answers

Find total centimeters by multiply total steps by centimeters per step:

15 x 60 = 900 centimeters total needed.

Convert centimeters to meters by dividing total centimeters by 100:

900/100 = 9

He will need 9 meters

Answer:

Ms nelson need 900 centimeters of carpet

Step-by-step explanation:

15 times 60 cm = 900cm

Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per
gigabyte. He wants to keep his bill under $65 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Justin can use
while staying within his budget.
>
Inequality:
.
Submit Answer
attempt 1 out of 2
I need this answered as soon as possible it’s worth 100 points

Answers

Answer:

Step-by-step explanation:

The inequality Equation =

42 + 5x < 60

To stay within her budget of less than $60 she must use less than 3.6 Gigabytes

Step-by-step explanation:

Under her cell phone plan, Brooklyn pays a flat cost of $42 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.

Let the number of gigabytes = x

Under $60 means less than $60

The inequality =

$42 + $5×x < $60

42 + 5x < 60

Solving for x

42 + 5x < 60

5x < 60 - 42

5x < 18

x < 18/5

x < 3.6 Giga bytes

Hence, to stay within her budget of less than $60 she must use less than 3.6 Gigabytes

Which phase is a description of the expression below 15-7n

Answers

Answer:

[see below]

Step-by-step explanation:

-7n is getting subtracted from 15.

7n is 'the product of 7 and n'

15-7n could be 'the difference of fifteen and the product of 7 and n'. The correct answer choice would be the one closest to this/

Hope this helps.

giving brainliest !!! *easy*

Answers

Answer: 600 sq cm

Step-by-step explanation: Each side is 100 cm^2, and there are a total of 6 sides. 100•6=600.

Hope this helps!

Answer:

SA = 600

Step-by-step explanation:

A cube has six sides.

The formula to find the SA of a cube is 6a^2

6 x 10^2 = 6 x 100 = 600

Alyson worked at a clothing store for the summer. She started in June and her pay increased by 10% each month. Alyson earned $2,904 in August. How much did she earn in June?

Answers

Answer:

i THINK anyson earned 1742.4 a month in June but I’m a middle schooler so

Step-by-step explanation:

The internet

Figure A is enlarged to create figure B. The ratio of the areas of A and B is 16:49.

One side of B is 5ft long. How long would the corresponding side on figure B be. Leave your answer as a fraction. (No image was provided, only the question itself.)​

Answers

Answer: [tex]\dfrac{20}{7}[/tex]

Step-by-step explanation:

Given

The ratio of the area of the similar triangles is equal to the square of the side of the corresponding sides

Suppose the corresponding side on figure A is [tex]x[/tex]

On solving

[tex]\Rightarrow \dfrac{16}{49}=[\dfrac{x}{5}]^2\\\\\Rightarrow \dfrac{x}{5}=\sqrt{\dfrac{16}{49}}\\\\\Rightarrow \dfrac{x}{5}=\dfrac{4}{7}\\\\\Rightarrow x=\dfrac{20}{7}[/tex]

Find 0% of 48:

Find 100% of 48:

Find 50% of 48:

Find 25% of 48:

Find 75% of 48:

Answers

Answer:

0

48

24

12

36

Step-by-step explanation:

please i am struggling allot please

Answers

Answer:

The tree grows 3,14 centimeters per year

Which shape is a parallelogram?

I’ll mark you if you give the right answer!!

Answers

Answer:

The rectangle is a parallelogram.

Step-by-step explanation:

Parallelograms are shapes with two pairs of parallel sides.

The rectangle is the only shape that meets those requirements.

Nick has a bag of 30 pieces of candy.
There are an equal number of Nerds, Starburst
& Jolly Ranchers. Only Nick's favorites!
Callie chooses candy randomly from the bag.
.
What is the probability that she will choose a Starburst
or Jolly Rancher?

Answers

Answer

2/3

Step-by-step explanation:

there are only 3 kinds of candy here and since they all have a equal number they have a chance of 1/3 each but since it is starburst OR jolly its 2/3

Which is true about the polynomial

Answers

binomial with degree of 3
The correct answer is binomial with a degree of 3.

Nicole is buying two posters. One poster costs $7.04 and the second costs $12.45. How much more does the second cost than the first?
A. $5.95
B. $0.54
C. $5.41
D. $19.49

Answers

The answer is C! All you have to do is subtract the numbers! :) (Also, could I get brainliest?)

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ANSWER THE QUESTION FOR BRAINLIEST

Answers

Answer:

A) Ed

Explanation: How i got it was by first looking at what Eric’s weight loss program, I then guessed he lost about the same amount of weight each week (1.5), i then did that times 4 since that’s how many weeks were recorded on the chart which gave me 6. I then looked at the chart again and saw that Ed first started with the weight 205 and by week 4 his weight was 197, I then did 205-197 which equals 8, I then decided that Ed lost more weight.

Answer: Ed

Step-by-step explanation:

PLEASE ITS DUE TONIGHT. All help is really appreciated.

Answers

Answer:

21) 18

22) 9

Step-by-step explanation:

21) (4+8)/2*3 = 18

22) (8+10)/2 = 9

Help!!! Algebra 2
:( Due in 7Mins

Answers

Answer

d

Step-by-step explanation: The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps us differentiate *composite functions*.

7th grade math help plssss

Answers

Answer:

Radius: R = 12 in

Diameter: D = 24 in

Circumference: C = 75.4in

Area: A = 452.39 in²

Step-by-step explanation:

Solutions:

Diameter d= 2r

D = 2 × 12

D = 24

Circumference

C = 2πr

C = 2 × π × 12

C = 24π

C = 75.3982237

Area:

A = πr²

A = π × 12²

A = 144π

A = 452.389342

... If g(x)= x^2 + 3x, what is the value of g(-3).
(1) 0
(3) 18
(2)3
(4) 21

Answers

Answer:

g(-3) = 0

Step-by-step explanation:

hello :

g(-3) = (-3)² + 3(-3) = 9-9 =0

n automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm. A. Find the probability that one selected subcomponent is longer than 118 cm. Probability

Answers

Answer:

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm.

This means that [tex]\mu = 116, \sigma = 5.4[/tex]

Find the probability that one selected subcomponent is longer than 118 cm.

This is 1 subtracted by the pvalue of Z when X = 118. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{118 - 116}{5.4}[/tex]

[tex]Z = 0.37[/tex]

[tex]Z = 0.37[/tex] has a pvalue of 0.6443

1 - 0.6443 = 0.3557

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

3.2.5
Find a so that the point (-1,4) is on the graph of f(x) = ax^2+1

Answers

9514 1404 393

Answer:

  a = 3

Step-by-step explanation:

Evaluating the given function at the point, we have ...

  f(-1) = a(-1)^2 +1 = 4

  a +1 = 4

  a = 3

The value of 'a' is 3.

HELP!!!

What is the volume of the square pyramid, in cubic inches?

Answers

Answer:648

Step-by-step explanation:

V=a2h

3=92·24

3=648

Answer:

648 in.^3

Step-by-step explanation:

V = (1/3)Bh

V = (1/3)(9 in.)^2(24 in.)

V = 648 in.^3

Samantha jogs 3 miles in 45 minutes.

How many miles can she jog in 1 hour?

Answers

Answer:

4 miles in 1 hour.

Step-by-step explanation:

1 hour = 60 mins

Ratios:

[tex]\frac{3}{45} =\frac{x}{60} \\\\45x=180\\x=4[/tex]

Answer:

4 miles

Step-by-step explanation:

45/3=15 she runs 1 mile in 15 mins so in 1 hour she can jog 60/15=4 miles

Need help ASAP ..... Which of the following pairs best describes a transformation of Figure 1 into Figure 2 followed by a transformation of Figure 2 into Figure 3 ?

Answers

Answer:

reflection reflection

Step-by-step explanation:

rotation doesn't make sense and there is no indication of a center of rotation.

so the obvious answer is reflection reflection


Makers of a new pain-relieving medication claim that it relieves chronic pain faster than the current top-selling pain reliever on the market. A
double-blind experiment was conducted in which 10 people who experience chronic pain were randomly selected to take either the new or the
current medication. Each of the 10 people recorded the time, in minutes, from taking the medication until pain relief. After an appropriate time
period, each of the 10 people took the other medication and recorded the time from taking the medication until pain relief. The medication each
person took first was randomly determined, and because both medications look the same, the people in the study did not know which medication
was taken first. The table below shows summary statistics for the results.​

Answers

Answer:

srry can't help with out the picture, but I would think that if it wasn't the for sure amount that it wouldn't work

The p-value from the appropriate t-test illustrated is 0.1802.

What is a p-value?

The p-value simply means the measure of the probability that an observed difference will have occured due to chance.

In this case, from the complete question, the p-value from the test from the table illustrated is 0.1802. The lower the p-value, the higher the statistical significance.

Learn more about p-value on:

https://brainly.com/question/4621112

factor trinomials x^2-x-6=?​

Answers

Answer:

(x−2)(x+3)

Step-by-step explanation:

x²-x-6=x²+3x−2x−6=x(x+3)−2(x+3)=(x−2)(x+3)

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