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.
CircumferenceThe 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.
AreaThe 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.
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.
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?
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
Round 3,989.23655 to the nearest thousandth. 3,989.237 3,989.236 4,000 3,989.240
Answer:
3,989.237Step-by-step explanation:
Rounding to the nearest THOUSANDS means 3 decimal places
PLEASE HELP AGAIN what are the vertex and range of this function?
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?
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
Rewrite each expression without using absolute value bars.
|3r-15| if r<5
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 barsAbsolute 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
of the following functrons: Homeware obtain the Laplace inverse F(s) = s^2 +s +1/s^2 +4s +3
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?
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
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
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!
Troy has 7 coins worth 52¢. If the coins are all dimes and pennies, how many dimes and pennies does he have?
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
Answer:
200π cm³ (in term of π)
628 cm³ (when define π = 3.14)
Step-by-step explanation:
Given:
radius of circular base = 5height = 8Volume 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 cm³The 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
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?
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?
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
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 ;-;
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.
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+
).
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
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).
SolutionThe 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 +7tMultiplying 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
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.
Answer:
b,c,f
Step-by-step explanation:
i did the assignment
Answer:
Step-by-step explanation:
I have trouble understanding how stuff is worded so please help me I need to know by 4 o’clock today.
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?
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
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?
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
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?
Answer: for this question we do 102/850 which equals 12%
Step-by-step explanation: Yes, because it is close to the percentage.