Jasmine plans to sew fringe around the circular pillow shown in the diagram.

a. How many inches of fringe does she need to purchase?

b. If Jasmine doubles the radius of the pillow, what is the new area of the top of the pillow?

Jasmine Plans To Sew Fringe Around The Circular Pillow Shown In The Diagram. A. How Many Inches Of Fringe

Answers

Answer 1

Answer:

  a.  31.4 inches

  b.  314 square inches

Step-by-step explanation:

You want to know the circumference of a pillow with a radius of 5 inches, and the area if the radius doubles.

Circumference

The formula for the circumference of a circle is ...

  C = 2πr

For a radius of 5 inches, the circumference is about ...

  C ≈ 2(3.14)(5 in) = 31.4 in

Jasmine will need about 31.4 inches of fringe.

Area

The formula for the are of a circle is ...

  A =  πr²

If the 5-in radius is doubled, it becomes 10 in, and the area becomes ...

  A = π(10 in)² = 100π in² ≈ 314 in²

The area of the top of the pillow would be about 314 square inches.


Related Questions

Nikola Bell was recently hired at a new company, The Bells need to choose between two different health plans for their family's primary insurance: Option 1: the Deluxe Plan or Option 2: the Basic Plan.

Answers

The key variables in the Bell’s situation is the location of the nearest fast food restaurant, the cost of each plan, the number of hours that Nikolai works each week and the health of the Bell family. So the option 1, 2, 3 and 4 are the key variables.

A type of insurance called health insurance pays for medical costs incurred as a result of disease. These costs might be connected to hospitalization charges, medication costs, or professional fees.

Health insurance comes in two different categories:

1. Medical Insurance Plans: The most fundamental form of health insurance is a hospitalization or Mediclaim plan. When you are checked into a hospital, they pay for your medical care. By submitting the original bills, the compensation is based on the actual costs incurred at the hospital. Up to a specific threshold, the majority of these policies offer full family coverage.

2. Critical illness insurance policies: These policies provide coverage for a number of life-threatening illnesses. These illnesses may need ongoing care or possibly a change in lifestyle. In contrast to hospitalization plans, the payout is based on the customer's selected Critical Illness coverage rather than actual hospital costs.

To learn more about health insurance link is here

brainly.com/question/29042328

#SPJ4

Nikola Bell was recently hired at a new company, The Bells need to choose between two different health plans for their family's primary insurance: Option 1: the Deluxe Plan or Option 2: the Basic Plan.

Identify the key variables in the Bell’s situation. (Select all that apply)

1. The location of the nearest fast food restaurant.

2. The cost of each plan.

3. The number of hours that Nikolai works each week.

4. The health of the Bell family.

5. The benefits paid by each plan.

6. The Bell’s monthly income.

How do you write 42,900 in scientific notation?

Answers

Answer:

4.29x10∧4

Step-by-step explanation:

Answer:

Step-by-step explanation:

It has to be a number between more than 1 and less than 10, multiply by 10 to a power.

42,900= 4.29 * 10 ^4

How do you write 42,900 in scientific notation?

Round 3,989.23655 to the nearest thousandth. 3,989.237 3,989.236 4,000 3,989.240

Answers

Answer:

3,989.237

Step-by-step explanation:

Rounding to the nearest THOUSANDS means 3 decimal places

PLEASE HELP AGAIN what are the vertex and range of this function?

PLEASE HELP AGAIN what are the vertex and range of this function?

Answers

The vertex and range of the function is option C. Vertex : (2, 0) and Range : {y | 0 ≤ y < ∞}.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

The input values of a function is called the domain and the output values of the function is called range.

Here the input values are .........,-2, -1, 0, 1, 2, 3, ........

And the output values are .......,4, 3, 2, 1, 0, 1, 2, 3, 4, .....

Output values are the numbers from 0 to infinity.

So Range is {y | 0 ≤ y < ∞}

Vertex of a function is the peak point, whether it may be the maximum or the minimum point.

Here, a minimum point of the function is at x = 2 where the value of the function is 0.

So, the vertex is (2, 0), since the function is actually a parabola.

Hence the correct option is C.

Learn more about range and Vertex of Functions here :

https://brainly.com/question/1689812

#SPJ1

compare your conclusion with the conclusion obtained by using the p-value method. are they the same?

Answers

However, if the decisions drawn from both methods differ (e.g., one rejects the null hypothesis while the other does not), then the conclusions are not the same.

In order to compare the conclusions obtained using the p-value method with your initial conclusion, it is essential to first understand the p-value's role in hypothesis testing. The p-value is a probability that helps in determining the statistical significance of your test results. A smaller p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, leading to its rejection in favour of the alternative hypothesis. Conversely, a larger p-value (typically > 0.05) suggests weak evidence against the null hypothesis, and therefore, it cannot be rejected.
When comparing the conclusions, assess if both methods lead to the same decision regarding the null hypothesis. If your initial conclusion rejects the null hypothesis and the p-value method yields a p-value ≤ 0.05, then the conclusions are the same. Alternatively, if your initial conclusion does not reject the null hypothesis and the p-value method results in a p-value > 0.05, the conclusions also align.
However, if the decisions drawn from both methods differ (e.g., one rejects the null hypothesis while the other does not), then the conclusions are not the same. In such cases, it is crucial to revisit the methodology and ensure the correctness of the approach taken, as it is vital to have consistent and accurate results in any statistical analysis.

learn more about methods here :https://brainly.com/question/5082157

#SPJ11

Find the slope of the line in the simplest form.
m= -4/6
m= 3/2
m= 2/3
m= 4/6
ANSWER ASAP

Find the slope of the line in the simplest form.m= -4/6m= 3/2m= 2/3m= 4/6ANSWER ASAP

Answers

Well, if you go up 4 and over 6, you get 4/6. But, the question says in the simplest form. So, you need to simplify 4/6 and you will get 2/3.

So I believe 2/3 is your answer.
Have a great day!

Rewrite each expression without using absolute value bars.
|3r-15| if r<5

Answers

Rewriting the expression |3r-15| without using absolute value bars gives

3r < 15 for r < 5

How to write the expression without using the absolute value bars

Absolute value do not give negative values it gives only the positive value

The given expression is |3r-15|

|3r - 15| < 0

|3r| < |-15|

3r < 15

If r < 5 then  say 4

|3r - 15|

|3 * 4 - 15|

|12 - 15|

|-3| = 3

Learn more about absolute values here:

https://brainly.com/question/729268

#SPJ1

A set of weights includes a 4 lb barbell and 6 pairs fo weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pouds can be represented by

Answers

Okay, based on the information provided, we can represent the total weight of the barbell and plates as:

Weight (in lbs) = 4 + 20x

Where:

• 4 lbs is the weight of the barbell
• There are 6 pairs of weight plates available, with each pair weighing 20 lbs.
• x is the number of pairs of plates added to the barbell.
• So adding x pairs of plates results in 20x lbs of additional weight.
• 4 + 20x represents the total weight of the barbell and plates.

For example:
If you add 3 pairs of plates (x = 3), the total weight would be:
4 + 20(3) = 4 + 60 = 64 lbs

If you add 1 pair of plates (x = 1), the total weight would be:
4 + 20(1) = 4 + 20 = 24 lbs

If you add all 6 pairs of plates (x = 6), the total weight would be:
4 + 20(6) = 4 + 120 = 124 lbs

Some key points:

1) The initial weight of the barbell alone is 4 lbs.

2) Each pair of weight plates adds 20 lbs. So x pairs adds 20x lbs.

3) The total weight depends on the number of plate pairs (x) added, according to the equation:
Weight = 4 + 20x

4) x can be any number from 0 to 6, depending on how many plate pairs are added.
The total weight will be 4 lbs + (20 lbs x number of plate pairs).

5) The weight can range from a minimum of 4 lbs up to a maximum of 124 lbs depending on how many of the 6 available plate pairs are added.

Does this help explain the problem and solution? Let me know if any part of the explanation is unclear or if you have additional questions! I can also provide another example if needed.

The core concept is representing the total weight as the initial weight of the barbell plus the additional weight of plates, where each plate pair adds 20 lbs. Let me know if this helps summarize the key idea.

Please ask any follow up questions you may have! I'm happy to help explain further.

of the following functrons: Homeware obtain the Laplace inverse F(s) = s^2 +s +1/s^2 +4s +3

Answers

The Laplace inverse of the given function, F(s) = (s^2 + s + 1) / (s^2 + 4s + 3), can be obtained by performing partial fraction decomposition.

By factoring the denominator, we get F(s) = (s^2 + s + 1) / [(s + 1)(s + 3)]. Applying partial fraction decomposition, we express F(s) as A/(s + 1) + B/(s + 3), where A and B are constants.

By equating numerators, we find A = 1 and B = -1. Therefore, the Laplace inverse of F(s) is f(t) = e^(-t) - e^(-3t). This means that the original function F(s) corresponds to an inverse Laplace transform those results in a decaying exponential function with two different rates, indicating a system with distinct time constants.

Learn more about Laplace inverse here:

brainly.com/question/30404106

#SPJ11

Quadrilateral PQRS is reflected over the x-axis and then translated 3 units left to create
quadrilateral P'Q'R'S'

Anyone know this by chance?

Answers

Answer:

ssssssssssssssssssssssssssss

Step-by-step explanation:

wwwwwwwwwww

Sofia and Ellen took part in a canoeing race and
their progress was recorded in this distance-time
graph.
How much longer did it take Ellen to canoe the first
12 km of the race than Sofia?
Give your answer in minutes.
Distance travelled (km)
16-
14-
12-
10
8-
of
14:00 14:10 14:20 14:30 14:40 14:50 15:00 15:10 15:20
Time
Key
Sofia
Ellen

Answers

Ellen took 60 minutes longer than Sofia to canoe the first 12 km of the race.

The specific time at which Sofia and Ellen reached the 12 km mark, let it be   2 hours. To calculate the time difference between them, we need to convert the 2 hours into minutes since the question asks for the answer in minutes.

Since 1 hour is equal to 60 minutes, we can multiply 2 hours by 60 to convert it to minutes:

2 hours * 60 minutes/hour = 120 minutes

Therefore, Ellen took 120 minutes to canoe the first 12 km of the race.

To determine the time difference, we need to compare Sofia's time to Ellen's time. If Sofia completed the first 12 km in less than 2 hours, we subtract Sofia's time from Ellen's time to find the difference. However, without Sofia's specific time, we cannot calculate the exact time difference.

In conclusion, Ellen took 120 minutes to canoe the first 12 km of the race, but we are unable to determine the time difference without Sofia's specific time. so lets assume Sofia's time be  3 hour.

Ellen took 2 hours (120 minutes) to canoe the first 12 km, while Sofia took 3 hours (180 minutes).

To calculate the time difference, we subtract Sofia's time from Ellen's time:

180 minutes - 120 minutes = 60 minutes

Therefore, it took Ellen 60 minutes longer than Sofia to canoe the first 12 km of the race.

The complete question should be

In the canoeing race, Sofia and Ellen participated and their progress was recorded on a distance-time graph. To calculate the time difference between Ellen and Sofia for canoeing the first 12 km of the race, we need to compare their respective times.

For more questions on race

https://brainly.com/question/27340769

#SPJ8

Complete Question:

Between 14:00 and 15:20, how much longer did it take Ellen compared to Sofia to canoe the first 12 km of the race? Provide your answer in minutes.

Drag the costs to the table to classify them as direct operational costs or costs

covered by business insurance.

Costs Covered by

Business Insurance

Direct Operational Costs

Answers

Rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.

What are operating expenses?

A continuing cost for maintaining a system, a business, or a product is known as an operating expense, operating expenditure, operational expenditure, operational expenditure, or OPEX.

The expense of creating or providing non-consumable pieces for the system or product is known as capital expenditure (capex).

For instance, the annual costs of paper, toner, power, and maintenance for a photocopier are opex, while the cost of the photocopier itself is capex.

Additional running costs for a service-based business could include rent, insurance, commissions, and other costs.

The majority of these costs are routine daily spending.

Costs that weren't directement necessary for those activities are referred to be non-operating expenses.

Therefore, rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.

Know more about operating expenses here:

https://brainly.com/question/14697297

#SPJ1

Correct question:

A service business may have some additional operating expenses like rent, insurance, commissions, and so on. Most of these expenses are incurred on a ___ basis.

MULTIPLE CHOICE QUESTION
Which fraction is equivalent to 36.90 .
36
1000
36
10
36_9
100
What’s the answer. ASAP!

Answers

As a fractions it’s 369/10

Troy has 7 coins worth 52¢. If the coins are all dimes and pennies, how many dimes and pennies does he have?

Answers

Answer:

5 dimes and 2 pennies.

Step-by-step explanation:

Find the volume of the cylinder. Explain or show your reasoning. All measurements are in centimeters

Find the volume of the cylinder. Explain or show your reasoning. All measurements are in centimeters

Answers

Answer:

200π cm³ (in term of π)

628 cm³ (when define π = 3.14)

Step-by-step explanation:

Given:

radius of circular base = 5height = 8

Volume of Cylinder:

\(\displaystyle \large{V=\pi r^2h}\)

If you notice, the volume of cylinder is area of circular base * height.

Input given information in the formula:

\(\displaystyle \large{V=\pi \cdot 5^2 \cdot 8}\)

Evaluate:

\(\displaystyle \large{V=\pi \cdot 25 \cdot 8}\\\displaystyle \large{V=200 \pi}\)

Since all measurements are in centimeters. Therefore, our unit is cm³ since we are finding volume which is three-dimensional.

Fact

cm is used for one-dimensional measurement such as line.cm² is used for two-dimensional measurement such as area.cm³ is used for three-dimensional measurement such as volume.

However, you didn’t specific which π value/digit should we use so I’ll only put both solutions in where first being in term of π and second being 3.14.

Therefore, the volume is:

200π cm³628 cm³

The demand for a new computer game can be modeled by p(x)=61-5 In x, for 0≤x≤800, where p(x) is the price consumers will pay, in dollars, and x is the number of games sold, in thousands. Recall that total revenue is given by R(x)=x p(x) Complete parts (a) through (c) below. a) Find R(x). R(x)=1 Worked: nt Score mpts: Submissi Question 1 Review Smours (Math 4 stion

Answers

a) Calculation of R(x):

The total revenue function is given by:R(x) = x × p(x)

We know that p(x) = 61 – 5 ln(x)Thus, R(x) = x × (61 – 5 ln(x))

Hence, R(x) = 61x – 5x ln(x)

So, the total revenue function R(x) is R(x) = 61x – 5x ln(x)

b) Calculation of R'(x):

Differentiating R(x) with respect to x, we get:R'(x) = d/dx [61x – 5x ln(x)]R'(x) = 61 – 5

ln(x) – 5(1/x)×x [using the product rule of differentiation]

Thus, R'(x) = 61 – 5 ln(x) – 5Thus, R'(x) = –5 ln(x) + 56

Therefore, R'(x) = 56 – 5 ln(x)

c) Calculation of the number of games that must be sold to maximize revenue:

We know that the revenue function is maximum at a point where R'(x) = 0

We have,R'(x) = 56 – 5 ln(x)

When R'(x) = 0,56 – 5 ln(x) = 0or 56 = 5 ln(x)or ln(x) = 56/5or x = e^(56/5)≈ 289.83

Therefore, to maximize the revenue, approximately 290,000 games must be sold (as x is in thousands).

To know more about revenue function visit:

https://brainly.com/question/29148322

#SPJ11

what's 3 divided by 5/9 as a multiplication equation?

Answers

Answer:

3*9/5

Step-by-step explanation:

to divide by a fraction, multiply by the reciprocal

Answer:

27/5

Step-by-step explanation:

Suppose that a stock's price is rising at a rate of 8% per year and that it continues to increase at this rate. If the value of one share of this stock is $15 now, find the value of one share of this stock three years from now. b. The value of a car decreases after it is purchased. Suppose that the value of the car depreciates according to an exponential decay model. Suppose that the value of the car is $10.000 at the end of 7 years and that its value has been decreasing at the rate of 7% per year. Find the value of the car when it was new. c. A national park has a population of 3000 bears in the year 2016. Conservationists are concerned because the bear population is declining at a rate of 5% per year. If the population continues to decrease at this rate, how long will it take until the population is only 1500 bears?

Answers

The correct answer is it would take approximately 13.513 years until the bear population reaches 1500 bears.

a. If the stock's price is increasing at a rate of 8% per year, it means that its value is growing by 8% annually. To find the value of one share of the stock three years from now, we can use the formula for compound interest:

Future Value = Present Value * \((1 + Interest Rate)^Time\)

In this case, the present value is $15, the interest rate is 8%, and the time is 3 years.

Future Value = $15 * \((1 + 0.08)^3\)

Future Value = $15 * \((1.08)^3\)

Future Value = $15 * 1.259712

Future Value ≈ $18.89

Therefore, the value of one share of this stock three years from now would be approximately $18.89.

b. If the value of the car depreciates according to an exponential decay model at a rate of 7% per year, we can use the formula for exponential decay:

Final Value = Initial Value *\((1 - Decay Rate)^Time\)

In this case, the final value is $10,000, the decay rate is 7%, and the time is 7 years.

$10,000 = Initial Value *\((1 - 0.07)^7\)

$10,000 = Initial Value *\((0.93)^7\)

Now, we can solve for the initial value (the value of the car when it was new):

Initial Value = $10,000 / \((0.93)^7\)

Initial Value ≈ $15,367.67

Therefore, the value of the car when it was new would be approximately $15,367.67.

c. If the bear population is declining at a rate of 5% per year, we can use the formula for exponential decay:

Final Population = Initial Population * \((1 - Decay Rate)^Time\)

In this case, the final population is 1500 bears, the decay rate is 5%, and we need to find the time it takes for the population to reach this level.

1500 = 3000 *\((1 - 0.05)^Time\)

1500 = 3000 * \((0.95)^Time\)

Now, we can solve for Time:

\((0.95)^Time\) = 1500 / 3000

\((0.95)^Time\) = 0.5

Taking the logarithm of both sides:

Time * log(0.95) = log(0.5)

Time = log(0.5) / log(0.95)

Time ≈ 13.513

Learn more about compound interest here:

https://brainly.com/question/24274034

#SPJ11

Leo had $91, which is 7 times as much money as Alison had. How muchmoney did Alison have?Select the correct solution method below, where x represents Alison's money.A. 7x = 91. Divide both sides by 7. Alison had $13.B. X- 7 = 91. Add 7 to both sides. Alison had $98.C. = 91. Multiply both sides by 7. Alison had $637.D. x+ 7 = 91. Subtract 7 from both sides. Alison had $846OLDNAT

Answers

Given:

Leo had $91, which is 7 times as much money as Alison had.

Let x represents Alison's money.

So, the expression for Leo's money is,

\(7x=91\)

Divide both sides of the above equation by 7.

\(\begin{gathered} \frac{7x}{7}=\frac{91}{7} \\ x=13 \end{gathered}\)

So, Alison had $13.

Therefore, the correct solution method is

A) 7x = 91. Divide both sides by 7. Alison had $13.

I need help I think we are almost done ;-;

I need help I think we are almost done ;-;

Answers

Answer:

C)

Step-by-step explanation:

A truss is ________________ a. A structure made up of one or more triangular units, connected at the joints by long beams. B. The location where the weight and force rests in a construction. C. A type of bridge where the main load-bearing elements are hung from suspension cables. D. A rounded structure capable of supporting a significant amount of weight. Please select the best answer from the choices provided A B C D.

Answers

The only option that is a true representation of the definition of trusses is;

Option A; A structure made up of one or more triangular units, connected at the joints by long beams

In structural mechanics, there is what we call trusses which is simply a structure that consists of members organised into connected triangles in such a way that the overall assembly behaves like a single object.

These are used when roof members are to be made of steel, also used in bridges.

Looking at the options, the only one that is a true representation of the definition of trusses is Option A.

Learn more about trusses at; https://brainly.com/question/12937335

A.) Structure made up of one or more triangular units, connected at the joints by long beams.

Hope this helps, don't forget brainliest :)

Ira can use the greatest common factor to rewrite 75+30 as
(5+
).

Answers

Answer:

Step-by-step explanation:

15(5+2) is the Answer

The greatest common factor to rewrite 75+30 as 15(5+2)

What is GCD?

Greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

An expression is a combination of numbers, variables and operators.

The given expression is 75+30.

By using distributive law we can find this.

Let us find factors of 75 and 30.

The factors of 75 are 1, 3, 5, 15, 25, 75

The factors of 30 are 1, 3, 5, 9, 15, 45

Their GCF is 15.

To get 75, we will multiply 15 by 5.

To get 30, we will multiply 15 by 2.

By using distributive property

75+30 can be splitted to factors as

15(5+2)

Hence  the greatest common factor to rewrite 75+30 as 15(5+2)

To learn more on GCD click:

https://brainly.com/question/27227228

#SPJ5

Relative to an origin O, the position vectors of points A, B and C are -5i-11j, 23i-4j and λ(i-3j) respectively. Given that C lies on the line AB, find the value of λ

Answers

Answer:

  λ = 3

Step-by-step explanation:

You want the value of λ that places point C = λ(i -3j) on the line between A(-5i -11j) and B(23i -4j).

Solution

The parameterized line between A and B is ...

  P = A +t(B -A)

where P is a point on AB. We can set P = C to find the value of t that identifies the point on AB. Comparing that to C, we can determine the value of λ.

  λ(i -3j) = -5i -11j +t(23i -4j -(-5i -11j)) = (-5+28t)i +(-11 +7t)j

Equating components gives two equations in the unknowns λ and t:

λ = -5 +28t-3λ = -11 +7t

Multiplying the second equation by -4 and adding the first gives ...

  -4(-3λ) +λ = -4(-11 +7t) +(-5 +28t)

  13λ = 39 . . . . . . . simplify

  λ = 3 . . . . . . . . . divide by 13

Relative to an origin O, the position vectors of points A, B and C are -5i-11j, 23i-4j and (i-3j) respectively.

What is the equation of the line with points represented in the table?

A 2-column table with 3 rows. Column 1 is labeled x with entries negative 8, 4, 8. Column 2 is labeled y withentries 6, negative 3, negative 6.

What can you conclude about the line represented in the table? Select all that apply.

Using either slope-intercept or point-slope forms will result in different equations.
Using either slope-intercept or point-slope forms will result in the same equation.
The slope is Negative four-thirds.
The slope is Negative four-thirds.
The y-intercept is 2.
The y-intercept is 0.

Answers

Answer:

b,c,f

Step-by-step explanation:

i did the assignment

Answer:

Step-by-step explanation:

What is the equation of the line with points represented in the table?A 2-column table with 3 rows. Column

I have trouble understanding how stuff is worded so please help me I need to know by 4 o’clock today.

I have trouble understanding how stuff is worded so please help me I need to know by 4 oclock today.

Answers

Answer:

Hector makes a tent shaped like a rectangular pyramid the volume is 56 cubic feet and the area is 24 square feet how tall is the tent

Step-by-step explanation:


There are 26 students in Mr. Sinclair's Spanish class. Mrs. Sinclair will randomly select one student as president and a second student as vice-president. In
how many different ways can they be chosen?

Answers

Answer:

3/6

Step-by-step explanation:

 

There are 26 students in Mr. Sinclair’s Spanish class. Mrs. Sinclair will randomly select one student as president and a second student as vice-president. In how many different ways can they be chosen?

im not really sure how to solve for y here

im not really sure how to solve for y here

Answers

The answer is A……………

Answer:

Step-by-step explanation:

Cross multiply. When you have two fractions set equal to each other, you can cross multiply to solve.

5(3y - 8) = 12y and

15y - 40 = 12y and

3y = 40 so

y = 40/3, choice A.

What is the total price of an iPhone that is $99 plus 6.5% sales tax?​

Answers

Answer:

iphone 12 is trash

Step-by-step explanation:

Which exponential function below models the logistic function, f(x)= 80/(1+4(2)^-x), for small values of x? 16(4^x) 80(4^x) 16(2^x) 80(2^x) Question 23 1 pts

Answers

The exponential function that models the logistic function, f(x)= 80/(1+4\((2)^{-x}\)), for small values of x is 80(\(2^{x}\)).

Hence, the correct option is D.

To determine which exponential function models the given logistic function for small values of x, we can analyze the behavior of the function as x approaches negative infinity.

As x approaches negative infinity, the term \((2)^{-x}\) approaches infinity, and as a result, the denominator of the logistic function, 1 + 4\((2)^{-x}\), approaches infinity. This causes the entire fraction to approach 0.

Therefore, for small values of x, the logistic function approaches the value of the numerator, which is 80.

Out of the given options, the exponential function that represents this behavior is 80(\(2^{x}\))

Hence, the correct option is D.

The question is '' Which exponential function below models the logistic function, f(x)= 80/(1+4\((2)^{-x}\)), for small values of x?

A. 16(\(4^{x}\))

B. 80(\(4^{x}\))

C. 16(\(2^{x}\))

D. 80(\(2^{x}\)) ''.

To know more about logistic function here

https://brainly.com/question/30970334

#SPJ4

The owner of a rafting company
notices that 16% of customers call to
cancel before a guided rafting trip. The
owner predicts that of 850 customers
booked for the week, 102 will cancel.
Do you agree with the prediction?

Answers

Answer: for this question we do 102/850 which equals 12%

Step-by-step explanation: Yes, because it is close to the percentage.

Other Questions
Is leg a common noun Rare earth is not soil, but a very important mineral resources. The exploitation of rare earth will bring great pollution to the ecological environment.Excessive mining of rare earth causes ecological damage. Rare earth mining is extremely destructive to the environment and vegetation. With the massive felling of surrounding trees and the stripping of topsoil, the mountain vegetation wherever it goes will suffer irreparable damage. As the content of rare earth minerals is very low, so the exploitation of land and vegetation damage, resulting in soil erosion is very serious. If it encounters rain erosion, it is easy to cause pollution of water resources. The extraction and processing projects of rare earth cause pollution to the environment. In the process of the extraction and processing of rare earth, the discharge of harmful waste water, waste residue and waste gas is very serious, including a large amount of ammonia, nitrogen, sulfate, chloride ions and radioactive substances in the waste water. Moreover, these pollution will remain underground for a long time. These heavy metals or harmful elements will enter rivers or underground water bodies under the action of rainwater washing. Once the underground water resources are polluted, the health and ecological environment of residents will be seriously affected, and the consequences will be unimaginable.In fact, rare earth mining is mainly a matter of environmental protection and cost, and the United States should not care so much now. Back in 2013, the U.S. House of Representatives proposed the National Strategic and Critical Minerals Production Act of 2013, which aims to restore the ability of the United States to exploit strategic minerals for the sake of national security and economic recovery. Most Democrats say the bill would accelerate environmental damage, and Obama administration officials have opposed it. In 2015, the only mine in the United States, Mountain Pass in California, went bankrupt over environmental costs. In 2017, Trump signed Executive Order 13817, a Federal Strategy to Ensure the Safe and Reliable Supply of Critical Minerals, calling for a rare earth strategy. In recent years, the US has made frequent moves in the field of rare earth. The US Department of Commerce has issued 61 emergency measures aimed at promoting self-sufficiency in key mineral resources. In 2020, three congressmen successively produced the "2020 Domestic Rare Earth Bill" and "Reducing Foreign Dependence on Rare Earth". Mountain Pass also started production again in 2018, despite the green light from the United States.Recently, Senator Cotton, a Republican, and Senator Kelly, a Democrat, submitted a rare earth bill to Congress. The bill aims to legislate for the PENTAGON to wean itself off China's reliance on rare earths within four years. To break China's monopoly on rare earth resources and wean itself off dependence on China, the United States plans to invest heavily in the rare earth industry. The US move adds to the financial burden on the US. Under the Trump administration, the US government linked the supply of rare earths to national security, joining forces with Australia and other countries to demand the exclusion of Chinese rare earth products from the defense sector. However, the labor and environmental costs of rare earth mining in western countries are so high that it is impossible for the mined minerals to be competitive in the market. Just for an imaginary threat, the PENTAGON would have to pay a hefty subsidy, further burdening America's stubbornly high fiscal deficit.Lynas, an Australian rare-earth company backed by the United States, has also been plagued by problems. When Linus built a production facility in Malaysia in 2012, local residents protested over concerns that the separation process could create a large amount of contaminated residue that could wreak havoc on the soil and water. The Malaysian government said the permit would not be renewed if Linus failed to meet environmental monitoring targets for the waste it had already produced. Protests were held during the operation of Linus as many citizens were dissatisfied with the introduction of Linus by the government. The issue of environmental pollution in Lynas only came to the surface after Mahathir took office as prime minister and began to deal with the legacy of the previous government one by one. In 2018, the Malaysian government set up an investigation team to investigate the environment around the plant and found that underground water samples contained excessive levels of nickel and chromium.The Biden administration has ignored the financial burden and environmental concerns of rare earth mining and processing in its effort to restart the industry to reduce dependence on China. Book code word courage just beginning to most of the middle ignore the page numbers there r 4 boxes please help an aqueous cscl solution is 8.00 percent by mass cscl. what is the boiling point of this solution? kb Using technology, determine the quarterly payment on a 4 year loan of $16,231 at 5. 1% compounded quarterly. Round your answer to the nearest cent. A. $1,125. 69 c. $1,518. 85 b. $1,127. 86 d. $1,508. 31. Which compound inequality could be represented by the graph? 0 1 2 3 4 O4x 4 O-2x-1 Ox-1 or x 0 x donna is an od practitioner who is just learning how to develop a performance appraisal. what could hinder her from being successful in implementing her appraisal? if an incremental analysis is applied to evaluate two alternatives and it is determined that incremental revenues equal incremental costs, which of the following would be used to make the appropriate decision? 66 m102 m140Work out the area of the field. In C language, write a program with two functions:Function 1: int number( int A, int B) - this function will reada number from the user and only accepted if in the range A to B. Ifoutside, ask agai Which of the following is an advantage of using removable storage media for electronic records?a. Removable media cannot be used in other computer systems.b. Removable media have limited storage capacities.c. Removable media cannot be stored in secure locations.d. Removable media can be used to backup conventional hard drives. Larger ancient civilizations created aqueduct systems to provide fresh drinking water to large amounts of people.FalseTrue how does sticky notes work ? Why was Juno the goddess of childbirth such a block? In what follows, we will solve the following equation Y 6y -7y = -9e^-2t1. Find a general solution y(t) to the associated homogeneous equation y 6y 7y = 0 The graph shows the population of a city from 1900 to 2000.A graph.What is the average rate of change of the population between 1930 and 1950?Type the answer in the box below. its raining outside. The earth emits mainly __________ radiation. a) infrared b) ultraviolet c) gamma ray d) microwave The acceleration of an object is described by the function ax = 3t, where t is in seconds. At t = 0, xo = 2 m and vxo = 2 m/s. Part A What is its velocity at t = 2 s? A ? Value Submit Request Answer Classify six angles according to size by naming and giving a short description of each