The relative growth rate r of a function f measures the change in the function compared to its value at a particular point. It is computed as r(t)=
f′(t)
f(t). A logistic growth model for a certain population with a base population of 6 ​individuals, carrying capacity of 15 ​individuals, and a base growth rate of 0.025 is shown below. Complete parts​ (a) through​ (c).
P(t)=
90
6+9e−0.025t
Question content area bottom
Part 1
a. Is the relative growth in 1999 ​(t=​0) for the logistic model of the above population equal to r(0)=
P′(0)
P(0)=0.013 ​(rounding to three decimal​ places)? This would mean that the population was growing at 1.3​% per year.
Yes
Yes
No
No
Your answer is correct.
Part 2
b. Compute the relative growth rate of the population in 2005 and 2020. What appears to be happening to the relative growth rates as time​ increases?
​r(6​)=enter your response here
​r(21​)=enter your response here
​(Round to four decimal places as​ needed.)

Answers

Answer 1

Answer: 2

Step-by-step explanation: If you add the chetes value of 6 x6 x88 v6


Related Questions

divide n^3+15v^2+56n by n+8

Answers

Answer:

n^3 + 15v^2 + 64

Step-by-step explanation:

Hope this helps

Answer:

n^3 + 15v^2 + 64

Step-by-step explanation:

This is the correct answer I believe

At lonestar middle school 2 out of 5 randomly selected students participate in the science fair. If there are 800 students at the school how many students can be expected to Participate in the science fair

Answers

When there are 800 students at the school, the students that can be expected to Participate in the science fair is 320 students.

What is an expression?

It should be noted that an expression is used to illustrate the relationship in the data or regarding the variables given.

In this case, the lonestar middle school picks out of 5 randomly selected students participate in the science fair.

When there are 800 students, the number of students picked will be:

= Fraction × Total students

= 2/5 × 800

= 320 students.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

If the distance between the bus terminus is 32 km, how much should
this distance be drawn on a 1:100000 scale plan?

Answers

The distance that should be drwan on a scale plan of 1:100000 is = 32m

What is distance?

Distance can be defined as the area that is covered by the movement of an object without reference to its direction.

From the scale given,

1cm : 100000cm on the scale plan of the map

The given distance = 32km

Convert km to cm by multiplying by 100000

32km = 32× 100000 = 3,200,000

To determine the equivalent ratio,

1 cm = 100000

n cm = 3,200,000

n cm= 3,200,000/100000

n cm= 32cm

Learn more about distance here:

https://brainly.com/question/26046491

#SPJ1

CREATE and SOLVE a division problem where the divisor is a whole number and the dividend is a decimal. The quotient must be greater than 5 but less than 6. EXPLAIN how you created this problem to meet all of the conditions (requirements) using correct math vocabulary.

Answers

The division problem where a divisor is a whole number and the dividend is a decimal is:

$20.36 are distributed equally among 4 men. How much money will each person get?

Each person will get $5.09.

The divisor of the division problem must be a whole number and the dividend is decimal.

Let's consider the dividend to be 20.36 and the divisor to be 4 which is a whole number.

When we divide 20.36 by 4 we obtain,

20.36/4 = 5.09

Therefore, the quotient is 5.09 which is greater than 5 but less than 6.

The problem:

$20.36 are distributed equally among 4 men. How much money will each person get?

Therefore, each person will get $5.09 each.

Learn more about division here:

brainly.com/question/28733391

#SPJ1

Write the amount in standard scientific notation. 6E 5 petabytes​

Answers

The scientific notation it can be written as 6 x [tex]10^5[/tex] petabytes.

What is Scientific notation?

A given number, equation, or expression is written in a format known as a scientific notation, which adheres to a set of principles. Large numbers like 8.6 billion are difficult to write in their numerical form since they are not only unclear but also time-consuming, and there is a potential that we may write a few zeros more or less. So, we utilise scientific notation to clearly describe extremely large or extremely small integers.

Given:

6E 5 petabytes

Now, we have to write the above number in scientific notation.

Now, the E generally represents the exponents raise to some power.

6E 5 petabytes

= 6 x [tex]10^5[/tex] petabytes

Hence, in scientific notation it can be written as 6 x [tex]10^5[/tex] petabytes.

Learn more about scientific notation here:

https://brainly.com/question/18073768

#SPJ1

12 Apple trees and 29 orange trees and a cherry tree what is the ratio of Apple trees to orange trees

Answers

Answer: 12:29

Step-by-step explanation: 12 apples to 29 orange trees. no need to simplify. 29 is a prime number.

Desiree has $256 in her savings account she adds X dollars in her savings account on Friday if x equals $50.25 write an expression to find the amount of money in Desiree's account . how would we write that in an expression

Answers

We were told that Desiree has $256 in her savings account she adds X dollars in her savings account on Friday. Thus, the expression for the amount of money in Desiree's account is

256 + x

if x equals $50.25, then the amount of money in her account is expressed as

256 + 50.25

= $306.25

A salesman earns 40% commission on all the merchandise that she sells last month she sold $500 worth of merchandise how much commission (in dollars) did she earn last month

Answers

When the salesman earns 40% commission on all the merchandise that she sells last month she sold $500 worth of merchandise, the commission is $200.

What is commission?

Commission simply means the percentage of the sales that is determined based on the rate that's given.

In this case, the commission will be:

= Percentage × Sales

= 40% × $500

= 0.4 × $500

= $200

The commission is $200

Learn more about commission on:

brainly.com/question/957886

#SPJ1

What is the square root of 1648474/737494

Answers

[tex]\sqrt[]{\frac{1648474}{737494}}\approx\sqrt[]{2.235}\approx1.5[/tex]

Calculate the area of parallelogram ABCD.
(-5, 2)
D
(-2,3)
A
E
(-3, 1)
C
(1.-1)
(4,0)
B

Answers

The area of the parallelogram ABCD is 15 square units and is calculated using the distance formula and parallelogram area formula.

As per the question statement, coordinates of points A, B, C, D and E are given as follow:

A(-2,3), B(4,0), C(-3, 1), D(-5, 2) and E(-3, 1).

The parallelogram's area is the product of its base and height.

Base can be calculated using distance formula in points A and E

AE = √[(-3+2)^2 + (1-3)^2]

AE = √[(-1)^2 + (-2)^2]

AE = √[1+4]

AE = √5 units

Height can be calculated using the distance formula in points A and B

AB = √[(4+2)^2 + (0-3)^2]

AB = √[(6)^2 + (-3)^2]
AB = √[36 + 9]

AB = √45 units

Hence area of parallelogram = AB * AE

Area = √45*√5

Area = √225

Area = 15 sq units.

Hence, The area of the parallelogram ABCD is 15 square units and is calculated using the distance formula and parallelogram area formula.

Area: The area is the space occupied by any object, shape or body, be it 2D or 3D and is in square units.Parallelogram: A unique variety of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

To learn more about area & parallelogram, click on the link given below:

https://brainly.com/question/19187448

#SPJ1

6.) Find the radius of a circle with a circumference of 36(3.14) inches.

Answers

circumference = diameter x pi
circumference = 36 x pi
36 / 2 = 18 inches

Help I NEED HELP PLEASE

Answers

Answer:

angle X =80°

angle V = 30°

please solve these asp​

Answers

1. Rolle's first two conditions are not satisfied. Rolle's theorem is not applicable.

2. lim a sin x - sin 2x/[tex]tan^{3} x[/tex] = lim a sin x cos x / [tex]tan^{3} x[/tex] = sin x(a - 2cos x)

= Lim x-0 Sin x [tex]\left[\begin{array}{ccc}a - 21 (1 - x^{2} /2! + ..)\end{array}\right] /tan^{3} x[/tex] = Lim x - 0 sin x [a - 2) + [tex]x^{2}[/tex] ( 1 + higher power of x) ] / [tex]tan^{3} x[/tex]

Hence for the given limit to exist a − 2 = 0 ⇒a = 2, and the corresponding limit is 1.

Rolle's theorem states and iii if f(a) = f(b) then let us assume that there exists at least one value of x, and this value is c. The theorem is that if a function f is continuous on a closed interval, it must be continuous at that particular point in order for the function to be differentiable at any point x = a in its domain, but vice versa. Indicates that it is not always true. For continuity, we need to check the left and right limits and the value of the function at the point x = a.

Learn more about Rolle's theorem here:-https://brainly.com/question/2292493

#SPJ1

Kingsley needs to add two diagonal braces to a wall. The wall is 12m by 5m, what is the length of each brace?

Please show your work

Answers

Answer:

king need 12m by 5m 12×5 =

60

Step-by-step explanation:

look up and read

What is the equation of the least squares regression line for the data set?

y=.81x+12.25


y=-.81x-12.25


y=-.78x+11.22


y=.78x+11.21

Answers

The equation of the least squares regression line for the data set is: A. y = .81x + 12.25

What is a regression line?

A regression line simply refers to a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line refers to a line which best fits a set of data.

In this scenario, x₁ would be plotted on the x-axis of the scatter plot while y₁ would be plotted on the y-axis of the scatter plot.

By critically observing the scatter plot (see attachment) which models the data in the given table, we can reasonably and logically deduce that the equation for the line of best fit is given by:

y = 0.81x + 12.25

Read more on linear regression here: brainly.com/question/16793283

#SPJ1

Write in terms of i.
Simplify your answer as much as possible.
√-144

Answers

Answer:

12i

Step-by-step explanation:

√-144 = 12i

12i × 12i = -144

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the inequality. Explain all steps and identify the properties used. 3a - 4 < 5 ►

Answers

[tex]\begin{gathered} 3a-4<5 \\ 3a<5+4 \\ 3a<9 \\ \text{therefore,} \\ a<\frac{9}{3} \\ a<3 \\ \text{hence, the solutions is }a<3 \end{gathered}[/tex]

In this diagram, lines AB and CD are parallel. D B Angle ABC measures 35 degrees and angle BAC measures 115 degrees. a. What is m ZACD b. What is mZDCB c. What is mZACB

Answers

|CD| is parallel to |AB|

[tex]\angle ACD=\angle ACB+\angle DCB[/tex][tex]\begin{gathered} ACBisatriangle.Thesumofanglesinatriangleis180^o. \\ \angle ACB+\angle ABC+\angle BAC=180^o \\ \angle ACB=180^o-35^o-115^o \\ \angle ACB=30^o \end{gathered}[/tex]

Also;

[tex]\begin{gathered} S\text{ ince CD and AB are parallel;} \\ \angle DCB=\angle ABC\text{ (because alternate angles are equal)} \\ \angle DCB=35^o \end{gathered}[/tex][tex]\begin{gathered} \angle ACD=\angle ACB+\angle DCB \\ \angle ACD=30^o+35^o \\ \angle ACD=65^o \end{gathered}[/tex]

ANSWERS:

(a) The measured angle ACD is 65degrees

(b) The measured angle DCB is 35degrees

(c) The measured angle ACB is 30 degrees

15 + x ≤ –45 pls help lawd

Answers

15+x < -45
Subtract 15:
x < -60

Answer: x≤-60

Step-by-step explanation:

Subtract -15 to isolate X:

[tex]\ \ \ 15 + x \leq -45 \\-15 \ \ \ \ \ \ \ \ -15\\[/tex]

      [tex]x \leq -60[/tex]

Can someone help me solve this?

The sum of the first 26 terms for an arithmetic sequence is 1417.
The sum of the first 8 terms for the same arithmetic sequence is 76.
Find the value of the first term.

Answers

The value of the first term is - 8.

Given that:-

Sum of the first 26 terms for an arithmetic sequence = 1417.

Sum of the first 8 terms for the same arithmetic sequence = 76.

We have to find the value of the first term.

We know that,

Sum of first n terms of an AP is given by:-

S(n) = (n/2)(2a + (n - 1)d)

Where,

n is the number of terms,

a is the first term and,

d is the common difference.

Hence,

S(26) = 1417 =  (26/2)(2a + (26 - 1)d) = 13(2a + 25d) = 26a + 325d

S(8) = 76 = (8/2)(2a + (8 - 1)d) = 4(2a + 7d) = 8a + 28d

Here we have two equations:-

26a + 325d = 1417  ...(1)

8a + 28d = 76  ....(2)

Multiplying (1) by 4 and (2) by 13 , we get

104a + 1300d = 5668

104a + 364d = 988

Subtracting and eliminating a , we get,

936d = 4680

d = 4680/936 = 5

Substituting d = 5 in (2), we get

8a + 28(5) = 76

8a + 140 = 76

8a = 76 - 140

8a = -64

a = -64/8 = -8

Hence, the first term is -8.

To learn more about arithmetic sequence, here:-

https://brainly.com/question/10396151

#SPJ1

a certain forest covers an area of . suppose that each year this area decreases by . what will the area be after years? use the calculator provided and round your answer to the nearest square kilometer.

Answers

The area after 15 years is 517.40km²

What is an area?

It is the quantity that expresses the content of the region on the plane or on a curved surface. Area is the size of the surface that can be calculated. It is the amount of space occupied by a two-dimensional figure. It is the quantity that measures the unit of squares. We get the area of the rectangle by multiplying length and width. The area of the figure is counted by the area of unit squares. It determines the area of the number of common shapes, including rectangle, trapezoid, circle, sector, ellipse etc.

y = A(1 - r)t

where,

A = initial area

r = rate

y = 1600(1 - 0.0725)

y = 1600[tex](0.9275)^{t}[/tex]

here we put t=15, then we get

y=1600[tex](0.9275)^{15}[/tex]

y=517.40 km²

Therefore, the area after 15 years is 517.40km²

To know more about area, visit:

https://brainly.com/question/27683633

#SPJ4

"https://www.wyzant.com/resources/answers/224267/a_certain_forest_covers_an_area_of_1600_km2_suppose_that_each_year_this_area_decreases_by_7_25_what_will_the_area_be_after_15_years"

i neeeedd help again ahhh :)

Answers

Answer:

t = -1

Step-by-step explanation:

Solving the equation:

  Distribute (-2) to each term of (t + 4) in the RHS

10t + 4 - 2t = 2 - 2(t + 4)

10t - 2t + 4 = 2 - 2 *t - 2*4

10t - 2t + 4 = 2 - 8 - 2t

Combine the like terms in the LHS and RHS,

        8t + 4 = - 6 - 2t

Subtract 4 from both sides,

        8t      = -6 - 2t - 4

            8t  = -10 - 2t

Add 2t to both sides,

         8t + 2t = -10

           10t    = -10

                 t = -10 ÷ 10

                 [tex]\sf \boxed{t =-1}[/tex]

The triangular based pyramid ABCD is shown
The base ABC is a right-angled triangle and the pyramid has a volume of 72cm^3
D is directly above A
AB=AC
AD=2 x AB
The length AB is labelled x
calculate the lenth x

Answers

Considering the volume of the pyramid, the length x is given as follows:

x = 6 cm.

What is the volume of a pyramid?

The volume of a pyramid is given by the multiplication of one third of the base area Ab and the height h, as follows:

V = 1/3 x Ab x h.

In the context of this problem, the base is a right triangle with two equal sides x, hence the base area is:

Ab = 0.5(x)(x) = 0.5x².

The height is given by segment AD, hence:

AD = 2AB = 2x.

The volume is of 72 cm³, hence we can solve for the length x as follows:

V = 1/3 x Ab x h.

72 = 1/3(0.5x²)(2x)

x³ = 72 x 3

x³ = 216

x = cubic root of 216

x = 6.

Hence the missing side length is of x = 6 cm.

More can be learned about the volume of a pyramid at https://brainly.com/question/18994842

#SPJ1

Harold Crispen worked Monday, Tuesday, and Thursday from 9:00 AM to 4:30 PM with a half hour for
lunch each day. How many total hours did he work?

Answers

Answer:

7 hours

Step-by-step explanation:

Subtract 30 minutes from 4:30 because he had half an hour break at lunch.

9:00 AM to 4:00 PM = 7 Hours

Answer: 21 hours is the answer.

Step-by-step explanation:

9:00 AM to 4:30 PM is 7 hours and 30 minutes so If he gets a half hour off each day for lunch that would leave 7 hours therefore, he works 7 hours a day which would mean: 7 times 3 = 21 hours so he works 21 hours each day.

help write an expression for the area of the shaded part

Answers

Answer:

[tex][(5x+6)(3x)] - [(4x-3)(2)][/tex]

Step-by-step explanation:

Find the total area of the shape   [tex](5x+6)(3x)[/tex]

And subtract the non-shaded area [tex](4x-3)(2)[/tex]

To get this equation:

[tex][(5x+6)(3x)] - [(4x-3)(2)][/tex]

In statistics, a frequency table has the following characteristics (choose all that apply):
*
15 points
A frequency table tabulates data to represent the number of times of occurrence for each score.
A frequency table uses tally marks in groups of 10 to count the frequency of occurrence.
It is possible to analyze the data and its behavior from a frequency table.
A frequency table categorizes the data into different groups based on frequency.

Answers

The characteristics of a frequency table in statistics are:

(A) Data is tabulated in a frequency table to show how frequently each score occurs.

(B) A frequency table can be used to study the data and its behavior.

(C) Based on frequency, a frequency table divides the data into various groups.

A frequency distribution is a list or table that displays the frequency of different outcomes in a sample. It can also be a graph.

The frequency or count of the values as well as their occurrences within a specific group or interval are shown in the frequency table.

If there are groups, the frequency of occurrence should be in a group of 5.

The number of tallies should be able to be equated to the sum of frequencies, which is determined by the sample size.

The statements that are the characteristics of a frequency table are (A), (B), and (D).

Learn more about frequency table here:

brainly.com/question/9445123

#SPJ1

aaliyah bought a computer for 382.68 including tax she has already saved 37.00 and wants to pay the rest of in 8 equal monthly payments what would aaliyah monthly payment for the computer be

Answers

The amount that Aaliyah will pay for monthly payment for the computer is 43.21.

How to calculate the amount?

From the information, it should be noted that Aaliyah bought a computer for 382.68 including tax she has already saved 37.00 and wants to pay the rest of in 8 equal monthly payments.

Therefore, the following can be deduced:

Total amount = 382.68

Amount saved = 37.00

Let the monthly payment be represented as x. Therefore, the equation will be:

37 + (8 × x) = 382.68

37 + 8x = 382.68

Collect like terms

8x = 382.68 - 37

8x = 345.68

Divide

x = 345.68 / 8

x = 43.21

The monthly payment is 43.21

Learn more about tax on:

brainly.com/question/25783927

#SPJ1

You have $84.25. You earn additional money by mowing lawns. Then you
purchase a new pair of shoes for $75.49 and have $63.76 left. How much
money do you earn mowing lawns?

Answers

Answer:

55.00

Step-by-step explanation:

basically I subtracted 84.25 from 75.49 and I got 8.76. So I too kthat answer and subtracted 8.76 from 63.76. So the answer is 55.00

find the value of x

Answers

The answer would be 18

Which point has coordinates (−2, 1.5) ?

Answers

Answer:

B

Step-by-step explanation:

Always start on the x axis and then the y axis.

Other Questions
Allied Health - A wound was measured to be 0.8 cm in length. Whaat is the greatest possible error of this weight in grams? Write a recursive formula for an, the nthterm of the sequence 8, -2, -12, .... I need help the retake is tomorrow. A cougar with a mass of 80kg is standing at the edge of a cliff. Find the cougar's potential energy if the cliff is 70 m high.I need help with the "work with units" part. thanks for the help!!!!! Which of the following was the first computer-animated film to win animated film to win an academy award? Tin Toy Toys on the Loose Toy Story The Perfect Toyplease help Which of the following reasons best explains why Mistress Owens wants to adopt the mysterious baby?A. Because she and Mr. Owens never had a child while they were aliveB. Because the ghost of the boy's mother begs them to keep her son safeOC. both A and BOD. neither A nor B the term that refers to low levels of ionizing radiation exposure over long time periods that are associated with an increased probability of the occurrence of an adverse health event is: sarrett, j. c. (2017). autism and accommodations in higher education: insights from the autism community. journal of autism and developmental disorders, 1-15 State what an electromagnet is.Describe how to measure and change the current of a circuit.Explain how to test the strength of an electromagnet.Explain three ways to change the strength of an electromagnet. Which of the following is a possible source of food contamination? An amusement park charges $32 for admission and $6 to park your car. Write an inequality that represents the possible number of people that could go for $166. Solve the inequality. What is the maximum number of people that could go? In the answer section, give the question letter and the word TRUE or FALSE for each of the following: Normally, players get huge support in the home ground from the audience. In your opinion, does this support help them win the match or degrade your reputation of players. write which law requires employers to make "reasonable accommodation" to incapacitated individuals Given the volume of storage boxes at 4,800 cubic feet and the cost of storage at 4.5 cents per cubic foot per month, what is the monthly cost of storage?$228$216$206$198None of these choices are correct Write the limit as a definite integral on the interval [a, b], where ci is any point in the ith subinterval. John says goodbye and then waves at his grandchildren. This is an example of what function of nonverbal communication?. Pure Aluminum foildistilled waterNaCl (table salt)Gold Bar (pure Au)All of these may be classified asResponsesA organic compound.organic compound.B compounds.compounds.C pure substances.pure substances.D elements. Please answer this math question below