PLEASE HELP!
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:

f(d) = 11(1.01)d

Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)

Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent? (4 points)

Answers

Answer 1

The average rate of change of the function f(d) from d = 2 to d = 7 means that the radius of the algae specie increases by 0.1145 mm per day

The reasonable domain to plot the growth function

The function is given as:

f(d) = 11(1.01)^d

The domain is the number of days, the function can take

From the question, we have:

f(d) = 11.79 ---- maximum range

So, we have:

11(1.01)^d = 11.79

Divide both sides by 11

(1.01)^d = 1.07

Take the logarithm of both sides

d * log(1.01) = log(1.07)

Divide both sides by log(1.01)

d = 7

Hence, the reasonable domain of the function is 0 ≤ d ≤ 7

What the y-intercept represents?

We start by setting d to 0.

d = 0

So, we have:

f(0) = 11(1.01)^0

Evaluate

f(0) = 11

This means that the y-intercept implies that the initial radius of the algae specie is 11 mm

The average rate of change from d = 2 to d = 7

Calculate f(2) and f(7)

f(2) = 11(1.01)^2 = 11.2211

f(7) = 11(1.01)^7 = 11.7935

The average rate is then calculated as:

Rate = (f(7) - f(2))/(7 - 2)

This gives

Rate = (11.7935 - 11.2211)/(7 - 2)

Evaluate

Rate = 0.1145

Hence, the average rate of change of the function f(d) from d = 2 to d = 7 is 0.1145 and it means that the radius of the algae specie increases by 0.1145 mm per day

Read more about functions at:

https://brainly.com/question/8728504

#SPJ1


Related Questions

can someone please help me answer this question??? help me please due in 15 min!!!

can someone please help me answer this question??? help me please due in 15 min!!!

Answers

Answer:

c. 69

Step-by-step explanation:

In calculating the _____________(estimated standard error M1 - M2, pooled variance), you typically first need to calculate the ____________(estimated standard error M1 - M2, pooled variance). The ________________(estimated standard error M1 - M2, pooled variance) is the value used in the denominator of the t statistic for the independent-measures t tests.

Answers

Standard error with equal n = S(m1 - m2 ) = √S₁²/n₁ + S₂²/n₂

and Standard error with unequal n = S(m1 - m2 ) = √Sp²/n₁ + Sp²/n₂

What is the standard deviation?

When comparing a population mean to a sample mean, the standard error of the mean, or simply standard error, shows how dissimilar the two are likely to be. It informs you of the degree to which the sample mean would fluctuate if the research were to be repeated with fresh samples drawn from the same population.

Standard error with equal n = S(m1 - m2 ) = √S₁²/n₁ + S₂²/n₂

Standard error with unequal n = S(m1 - m2 ) = √Sp²/n₁ + Sp²/n₂

Learn more about Standard error

brainly.com/question/13179711

#SPJ1

The complete question is -

In calculating the _____________(estimated standard error M1 - M2, pooled variance), you typically first need to calculate the ____________(estimated standard error M1 - M2, pooled variance). The ________________(estimated standard error M1 - M2, pooled variance) is the value used in the denominator of the t statistic for the independent-measures t tests.

what is the perimeter of the entire design

Answers

First full question is this: What is the perimeter of the entire design?

Cameron makes a quilt design using four congruent

triangles as shown below.

ooo

O 46 cm

O 64 cm

O 108 cm

O 147 cm

9 cm

14 cm.    

ANSWER:  B) 64

I am confused on how to do this.​

I am confused on how to do this.

Answers

The answer is A.....

xion orders 5 loves of bread from the website bakery the total shipping weight is 9 pounds as model of the bread what is in pounds each of the lovaes

Answers

Each loaf of bread is 1.8 pounds

A cab company charges a $6.00 fee to pick up a fare plus $0.20 per mile. If you pay the cab driver $9.40, how many miles did you go?

Answers

Answer is 6.00+0.20-9.40

3.2

or

6.00-0.20-9.40

3.2

Answer:3.2

Step-by-step explanation:

If you could help I would really appreciate it, but if not that’s fine. Thank you.

If you could help I would really appreciate it, but if not thats fine. Thank you.

Answers

Answer:

c po ang sagot jan parehas tayo

Dean wants to buy a scooter. He has a coupon for 20% off his purchase, and has already saved $50. If the scooter is $79, how much more money does Dean need to be able to purchase it?

Answers

he needs $13.2 bc 79*.2 is 15.8 and 79-15.8 is 63.2 and he has 50 dollars so he needs 13.2

what is the expression below equivalent to? PLEASE HELP

what is the expression below equivalent to? PLEASE HELP

Answers

Answer:

2x To the 2 power +  x -13 ... Thats the answer

Step-by-step explanation:

The following table shows the amount of chocolate, in pounds and the price paid. What is the maximum amount of chocolate you can buy with $72.00?

The following table shows the amount of chocolate, in pounds and the price paid. What is the maximum

Answers

Answer:

16

Step-by-step explanation:

if 18 dollars will get your 4, 4 times 18 is 72 so 16 is your answer

suppose that this decade begins on 1 january 2020 which is wednesday and the next decade begins on 1 january 2030. how many Wednesday are there in this decade?​

Answers

Answer:

521

365 *10 = 3650

365/7 = 521.4

Step-by-step explanation:

The sum of two numbers is 544. One of the numbers is 300. What is the other number?

Answers

Answer:

244

Step-by-step explanation:

\(544 - 300 = \\ 244\)

huduko incorporated offers a number of computer services. one server handles its own web page. it receives requests for web pages at the rate of 79 per second. the standard deviation of these interarrival times is 0.02 second. what is the coefficient of variation of the interarrival times for this server?

Answers

Using the standard deviation value of these interarrival times, the coefficient of variation is 0.012.

What do you mean by Standard Deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

What is Coefficient of variation and formula to calculate it?

The standard deviation to mean ratio, or coefficient of variation (CV), illustrates the degree of variability in proportion to the population mean. The dispersion increases with increasing CV.

Formula is given by:

\(CV = \frac {\sigma}{\mu}\)

\(\sigma = 0.02\)

Mean for the time of 0.02 sec is = 79 * 0.02

=1.58

CV= 0.02/1.58

=0.012

To learn more about Coefficient of Variation visit:

https://brainly.com/question/13977805

#SPJ4

Is the dilation an enlargement or a reduction base on the picture attached ?how can u tell ?
NEED HELP ASAP !

Is the dilation an enlargement or a reduction base on the picture attached ?how can u tell ? NEED HELP

Answers

Answer:

Reduction

Step-by-step explanation:

Whenever you see a shape graphed where the points have ' after the letter, then that is the RESULT. So, the yellow parallelogram ABCD is the original, and the blue parallelogram A'B'C'D' is the result, which is obviously smaller than the original. So that means that it's a reduction.

I hope this made sense and helped! :)

Answer:

Step-by-step explanation:

The yellow rectangle is an enlargement of the blue one, and is a positive dilation.  The blue rectangle is shrunken from the yellow one and is a negative dilation.

Please help ASAP!!!??

Please help ASAP!!!??

Answers

Answer:

\(\{-2,-1,1,2,4\}\)

Step-by-step explanation:

Given

The attached graph

Required

Determine the range of the graph

First, we list out the coordinate of each point on the graph:

The points are:

\(\{(-4,-1),(-3,-2),(-2,2),(1,1),(2,4)\}\)

A function has the form: (x,y)

Where

y = range:

From the coordinate points above,

\(y = \{-1,-2,2,1,4\}\)

Order from least to greatest"

\(y = \{-2,-1,1,2,4\}\)

Hence, the range are: \(\{-2,-1,1,2,4\}\)

Kathy has a job on a farm.
. She earns $3.20 every 15 minutes she picks
green peppers.
. She earns $3.00 every 20 minutes she picks
carrots.
She picked green peppers for 45 minutes and
then spent an hour picking carrots.
How much money did Kathy earned? (write
your answer in dollars. cents)

Answers

$18.60
She picked peppers for 45 minutes and earned 3.20 every 15 so 3.20 * 3 is 9.60 then picked carrots for 60 minutes and earned 3 every 20 so 3*3 is 9 add them together it’s 18.60

The distance between A (-4, 2) and B(4, 2) is.
6
8
4.

Answers

Answer:

8 units

Step-by-step explanation:

what does a padaung woman who uses brass rings to stretch her neck illustrate about deviance?

Answers

Answer:

The practice of using brass rings to stretch the neck, also known as neck elongation or neck stretching, is traditionally associated with the Padaung ethnic group from Myanmar (formerly known as Burma).

From a sociological perspective, the use of brass rings to stretch the neck can be seen as an example of deviance, which refers to behavior that violates social norms and expectations. Deviance can be either criminal or non-criminal, depending on the specific behavior in question and the cultural context in which it occurs.

In the case of Padaung women, the use of brass rings to elongate the neck is a form of non-criminal deviance, as it does not violate any laws. However, it does violate cultural norms and expectations in many other societies, where elongated necks are not seen as desirable or attractive.

Therefore, the practice of neck elongation among Padaung women can be seen as a form of cultural deviance, in which members of a particular group engage in behavior that is not considered acceptable or desirable by the larger society in which they live. At the same time, it can also be seen as an expression of cultural identity and tradition, as the practice has been passed down through generations and is an important part of Padaung culture and heritage.

i need someone to explain how to find the answer

i need someone to explain how to find the answer

Answers

Answer:

46 degrees

Step-by-step explanation:

Angles 3 and 7 are corresponding angles which also means that they are congruent. Since they are congruent, angle 7 is also 46 degrees.

Phil and Stacy create repeating patterns using shapes. Phil's rule is "oval, square," and Stacy's rule is "oval, square, circle, oval." If they both have 96 shapes in their pattern, which pattern has more ovals?

Answers

Using proportions, it is found that both patterns have the same number of ovals.

This question is solved by proportions, using rule of three.

For Phil:

There are 96 shapes.1 of each two shapes is oval, hence:

1 oval - 2 shapes

x oval - 96 shapes

Applying cross multiplication:

\(2x = 96\)

\(x = \frac{96}{2}\)

\(x = 48\)

For Stacy:

There are 96 shapes.2 of each two shapes are oval, hence:

2 oval - 4 shapes

x oval - 96 shapes

Applying cross multiplication:

\(4x = 192\)

\(x = \frac{192}{4}\)

\(x = 48\)

Both patterns have the same number of ovals.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

what is the temperature after 1 minute? choose the t-coordinate of the fixed point to be equal to 1. what is the corresponding y-value?

Answers

The temperature after 1 minute is 5, the t-coordinate of the fixed point to be equal to 1 is f(t) = 2t + 3 and the corresponding y-value is 5.

In a two-dimensional coordinate system, such as the Cartesian coordinate system, each point is represented by an ordered pair (x,y) where x represents the horizontal position and y represents the vertical position.

The problem statement asks us to find the temperature after 1 minute, which means we need to find the y-coordinate of the point on the graph that corresponds to t=1. In other words, we need to evaluate the function f at t=1 to find the corresponding y-value.

If the function f(t) is given by f(t) = 2t + 3, then the point corresponding to t=1 would have coordinates (1, 5), since f(1) = 2(1) + 3 = 5. Therefore, the corresponding y-value would be 5, which represents the temperature after 1 minute.

To know more about coordinate here.

https://brainly.com/question/27749090

#SPJ4

what is x? plz help :)

what is x? plz help :)

Answers

Answer:

13

Step-by-step explanation:

using the Pythagorean theorem  a²+b²=c²

or the two shorter sides square added together equal the longest side squared

5²+12²

5²=25

12²=144

144+25=169

then we just have to take the square root of 169

√169=12

have a great day :D

36x + 31 = 535
A.
none of these
B.
1
C.
17
D.
12

Answers

Answer:

A

Step-by-step explanation:

36x = 535 - 31

36x = 504

36/36 x = 504/36

x = 14

\({ \green{ \boxed{ \red{ \sf{x = 14}}}}}\)

Step-by-step explanation:

\({ \purple{ \tt{36x + 31 = 535}}}\)

\({ \purple{ \tt36x = 535 - 31}}\)

\({ \purple{ \tt{36x = 504}}}\)

Divide both the sides by 36 then,

\({ \purple{ \tt{ \frac{ \cancel{36}}{ \cancel{36}}}}} = { \purple{ \tt{ \frac{ \cancel{504}} { \cancel{36}}}}}\)

\({ \red{ \boxed{ \green{ \sf{x = 14}}}}}\)

What is the measure of angle B?

What is the measure of angle B?

Answers

60 degrees, because it's an equilateral triangle, as you can tell because the sides are all the same length.

a triangle undergoes a dilation with a scale factor of 9/5. the resulting triangle is _[blank]_ the original triangle.

Answers

The resulting triangle is 9/5 the original triangle.

How triangle dilated with scale factor?

The focuses in the direction planes are A(0, 2), B(2, 1), C(- 2, - 2). In the event that the scale factor is 2, each direction point of the first triangle is duplicated by the scale factor 2. Subsequently, the expanded triangle will be A'B'C' and the direction focuses got are A'(0, 4), B'(4, 2), C'(- 4, - 4).

According to question:

Let we have a triangle ABC,If this triangle undergoes a dilation with a scale factor of 9/5,

Then changed triangle is  A'B'C'

So, relation between them is A'B'C' = 9/5(ABC)

Thus, the resulting triangle is 9/5 multiple of triangle ABC.

to know more about scale factor visit:

brainly.com/question/29464385

#SPJ4

Light passes through a diffraction grating with 3550 lines/cm and forms a first-order maximum at an angle of 12.07°. At what angle will the second maximum appear?

Answers

Answer:The angle at which the first-order maximum appears can be calculated using the formula:

sin(θ) = mλ/d

where θ is the angle at which the maximum appears, m is the order of the maximum (in this case, m=1 for the first-order maximum), λ is the wavelength of the light, and d is the spacing between adjacent lines on the diffraction grating.

We can rearrange this formula to solve for d:

d = mλ/sin(θ)

For the first-order maximum:

d = (1)(λ)/(sin(12.07°))

Now, to find the angle at which the second maximum appears, we can use the same formula but with m=2:

sin(θ) = 2λ/d

Rearranging this formula to solve for θ:

θ = arcsin(2λ/d)

Substituting the values we have already calculated:

θ = arcsin(2λ/[(1)(λ)/(sin(12.07°))])

Simplifying:

θ = arcsin(2sin(12.07°))

θ ≈ 24.17°

Therefore, the second maximum will appear at an angle of approximately 24.17°.

Step-by-step explanation:

calculations:

1. We are given the number of lines per centimeter on the diffraction grating, which is 3550 lines/cm.

2.We are also given that the light forms a first-order maximum at an angle of 12.07°.

3.We can use the formula sin(θ) = mλ/d to find the spacing between adjacent lines on the diffraction grating. Rearranging this formula to solve for d, we get d = mλ/sin(θ).

4.Substituting the values m=1, λ (which we assume to be the wavelength of the light), and θ=12.07°, we can solve for d. We get d = (1)(λ)/(sin(12.07°)).

5.Next, we want to find the angle at which the second maximum appears. We can use the same formula, but with m=2: sin(θ) = 2λ/d.

6.Rearranging this formula to solve for θ, we get θ = arcsin(2λ/d).

7.Substituting the values we calculated for d and assuming the same wavelength of light, we can solve for the angle θ. We get θ = arcsin(2sin(12.07°)).

8.Finally, we evaluate this expression and get the answer: the second maximum will appear at an angle of approximately 24.17°.

Write the function in slope-intercept form
4y=-8x-10
WILL MARK BRAINLIEST

Answers

Answer:

Y=2x- 5

       -----

          2

Step-by-step explanation:

Interpret line plots with fraction addition and subtraction

The weights of 11 different babies are recorded on the line plot below. Each weight was rounded to the nearest

1

pound.

|||||

|||||

6 6

7

7층

8

8

9

9

What is the difference, in weight, between the two heaviest babies?

pounds

Your answer should be

a proper fraction, like 1/2 or 6/10

100

8

P100

10

Answers

To interpret this line plot with fraction addition and subtraction, we need to understand how to read the plot and how to perform the necessary calculations with fractions.

Looking at the line plot above, we can see that each horizontal line represents one pound, and each vertical line represents one baby's weight. The numbers on the vertical axis show the weights of the babies in pounds. For example, there are two babies that weigh 6 pounds, three babies that weigh 7 pounds, two babies that weigh 8 pounds, and so on. To find the difference in weight between the two heaviest babies, we need to first determine which babies are the heaviest. From the line plot, we can see that the two heaviest babies are the ones at the top of the plot, which both weigh 9 pounds. Converting the weight of the heaviest baby to a fraction with a denominator of 72 gives us 9/1 x 72/72 = 648/72. Converting the weight of the second heaviest baby to a fraction with a denominator of 72 gives us 8/1 x 72/72 = 576/72. Now that both weights are expressed as fractions with a common denominator, we can subtract them to find the difference: 648/72 - 576/72 = 72/72 = 1

Therefore, the difference in weight between the two heaviest babies is 1 pound, or 1/72 of a hundredweight (since there are 100 pounds in a hundredweight). The answer we were asked to provide is a proper fraction, so we can express this as 1/72. In summary, to interpret a line plot with fraction addition and subtraction, we need to understand how to read the plot to determine the weights of the babies, how to perform the necessary calculations with fractions, and how to express our answer as a proper fraction if required.

To know more about subtraction visit:-

https://brainly.com/question/1927340

#SPJ11

If mYXZ = 62° and mVUW = (43 - 5x)°, what is the value of x?

Answers

the value of x is 3.

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The sum of all angle of triangle = 180

mYXZ = 62°

mVUW = (43 - 5x)°

Here (43 - 5x)° + 62 =90

-5x = 90-(43+62)

-5x = 90-105

x = 15/5

x=3

Hence the value of x is 3.

Learn more about triangle, by the following link

brainly.com/question/17335144

#SPJ1

What is the equation of the line to get the tie fighter?

What is the equation of the line to get the tie fighter?

Answers

The equation of the line is y = 13/6x - 5

How to determine the equation of the line?

From the question, we have the following parameters that can be used in our computation:

Points: (0, -5) and (6, 8)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

This means that

c = -5

So, we have

y = mx - 5

Also, we have

(x, y) = (6, 8)

This means that

8 = m x 6 - 5

So, we have

6m = 13

This gives

m = 13/6

So, we have

y = 13/6x - 5

Hence, the equation is y = 13/6x - 5

Read more about linear equation at

https://brainly.com/question/4074386

#SPJ1

Other Questions
a person jumps off a diving board 4.5 m above the water's surface into a deep pool. the person's downward motion stops 2.3 m below the surface of the water. Consider the following. u = (1, -1, 1), v = (2,0, 2) (a) Find the projection of u onto v. (b) Find the vector component of u orthogonal to v. how do I solve this .... question in the image. thank you Interpret the coefficient of variation according to the context, determining the most homogeneous set It is commonplace to find statements on food cans such as Net Weight: 16 oz. (454g) Why do most people find this acceptable? Is height discrete or continuous data? Give a reason for your answer.please help Read the excerpt from "Ellis Island."We lived there for three daysMother and we five children, the youngest of whom was three years old, recalled Angelo Pellegrini, whose family moved from Italy when he was 10. "Because of the rigorous physical examination that we had to submit to, particularly of the eyes, there was this terrible anxiety that one of us might be rejected. And if one of us was, what would the rest of the family do?Along with everyone else, Angelos family was examined for contagious diseases, such as chicken pox, measles, mumps, scarlet fever, and tuberculosis. If an illness could be treated, the sick were hospitalized on the island. About 2 percent were sent back to where they came from.Which illustration would best give readers a clearer understanding of the text?an illustration of a patient with chicken poxan illustration of a hospital room at Ellis Islandan illustration of an eye chart for a physical examan illustration of the medicine used to treat mumps 35,892 rounded nearest hundred what can human resource managers do in order to make the interview process a more reliable indicator of an individuals ability to be successful What is NOT another name for lineq?BS.RKP12eGMIN In the seventeenth century, why did rulers hesitate to crush rebellions? A. City and regional officials might side with the rebels. B.Armies were expensive to deploy, and rulers feared creating martyrs. C. Local rebels easily hid when troops arrived. D.Local rebels rarely caused much damage. true or false: the sympathetic system always stimulates the body and the parasympathetic system always relaxes the body. Find the measure of the missing anglesg=h=k=m= Ellen is buying her mom a new cheese board made by a local carpenter. The cheese board is shaped like a trapezoid and has an area of 93. 5 square inches. Its bases are 10. 5 inches long and 11. 5 inches long. What is the trapezoid's height? what is the energy transformation of a charcoal burning in a coal pot Write the equation of the line that is perpendicular to 3x+2y=8 and goes through the point (-5,2) -2z + 3 + 7z= -12 A. z = -3 B. c = -c + 2 C. c + 2 = c -2 D. c - c = 2 Help me pleeeaasseee which is the solution of the system of inequalities? a 0,2 b 0,0 c 1,1 d 2,4 A large plate carries a uniform charge density = 8. 85 10-9 c/m2. a pattern showing equipotential surfaces with a 5 v potential difference would appear as:_________ Consider a linear system toX =[ -5 1] X + [1][ -1 -2] [1] uY =[3 1] XFind the transfer function of system.