Is there a general rule to convert a function to a power series? Examples would be greatly appreciated:)
Step-by-step explanation:
Use the Maclaurin expansion:
f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) xⁿ / n!
For example, for f(x) = eˣ:
f(x) = ∑ₙ₌₀°° e⁰ xⁿ / n!
f(x) = ∑ₙ₌₀°° xⁿ / n!
Use the following information for the questionThe average travel time to work for a person living in kokomo is 17 minutes. Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time follows a normal distribution. Approximately what percentage of people living in Flint have a travel time to work that is less than 12.5 minutes?A) 15% B) 25% C) 75% D) None of these.
Answer:
16%
Step-by-step explanation:
We solve using z score formula
= z = (x-μ)/σ, where
x is the raw score = 12.5 minutes
μ is the population mean = 17 minutes
σ is the population standard deviation = 4.5 minutes
z = 12.5 - 17/4.5
z = -1
Probability value from Z-Table:
P(x<12.5) = 0.15866
Converting to percentage
= 0.15866 × 100
= 15.866%
Approximately , the percentage of people living in Flint have a travel time to work that is less than 12.5 minutes is 16%
The regular price of running shoes is $89.00. They are on sale for 20% off.
a.) What is the amount of discount (amount you are subtracting from the original)?
b.) What is the sale price (the new amount)?
Please explain the question!
Answer:
a. 17.80 b. 71.20
Step-by-step explanation:
I used to hate percents. Let me teach you a trick:
take the og value (89) and multiply it by the percentage (20% or 0.2). Then once you have that answer (17.80), subtract it from the og value (89-17.80). That's your answer for how much you still owe! (71.20)
any other follow up questions? Just ask :)
Read the passage below and summarise it in a minimum of 100 words:
Until a hundred years ago as humans, we had a simple, uncomplicated biological connect. It was a straightforward equation: we drew roughly 3,000 calories each of energy out of the Earth for our food and life’s sustenance. Today that number per capita has grown to 100,000 calories. We still need only 3,000 calories each to nourish life itself. All the rest of this energy is what we extract from the Earth for everything else besides keeping ourselves alive. In some countries, like the US; this per capita number runs at over 200,000 calories! Some of us are concerned about this.
We fret over what we could and should really be doing to soften this abuse of resources. Little things fox us in the welter of things that we get to read. What is sustainable development? How can it be started in our homes? Beyond the ceremonial planting of green arid getting people to run marathons of various lengths in support of the environment, is there- more that we can add to the abstract value of “sustainability”? What are the little things we can do in our day-to-day lives, to reduce demand for things that people make and market? Of course, we know that it helps to avoid a plastic bag when you can use a newspaper bag, or a brown bag, or even a jute bag which you can use for many more years, unlike a plastic bag which you throw away in less than a week or after a few uses.
However, there’s actually quite a bit more than you and I can do without compromise on comfort, with very little as cost incurred, with financial savings that you can gain on energy and water use, and with solutions that are very feasible and within your reach. It is possible to understand our ecological footprint and its disastrous consequences, not merely in terms of our own behaviour as consumers, but really in terms of the impact on the environment we make.
(Source: Building Green and Thinking Green, 2010)
Answer:
Find the summary below.
Step-by-step explanation:
The article compares the standard of healthy living some hundred years ago to what is obtainable in our world today. While the energy gained through food consumption some years ago was just adequate and at the right proportion, what is consumed today, supplies energy that is on an all-time high. This misuse of resources led to the development of sustainable development practices such as planting of trees, exercise routines which are done occasionally.
Another sustainable practice that can be done on a more regular basis is the use of jute or paper bags which are more biodegradable, instead of plastic bags. Finally, the article encourages the adoption of more sustainable practices because they can be more economical compared to the other practices that are presumed to be the status quo.
You can buy 10 APPLES for $12.00. How much will it cost to buy 6 APPLES?
Answer: $7.20
Step-by-step explanation: Let me know if I'm wrong!
Frank wants to go bowling. The bowling alley charges $4 per game and a one-time charger of $3 for bowling shoes. Look at the information below:
y = 4x + 3
y is the total cost of bowling
x is the number of games bowled
Based on the information, which statement is true?
Report that other guy smh... but im not quite too sure but i believe the answer you were looking for was C. The total cost will increase by 4$ every 3 games bowled :D
In a group of 20 students, there are 7 boys. What is the ratio of girls to boys?
Answer: percent is 0.53%
The ratio is 7 to 13 so you just divide 7/13
Step-by-step explanation:
1. Marsha used 2 cups of sugar to make 3 dozen
cookies. How much sugar would she use to make 9
dozen cookies?
The total length of wires A,B and C is 445cm. Wire A is 45cm longer then wire B,and wire B is half as long as wire C. How long is wire A?
Answer:
A = 145cm
Step-by-step explanation:
A+B+C = 445cm
b = 1/2c
a = b+45 = 1/2c + 45
445 = c + (0.5c) + (0.5c + 45)
445 = 2c + 45
445 - 45 = 2c
400/2 = c
c = 200cm
a = 1/2c + 45 = 1/2*200 + 45 = 100 + 45 = 145cm
the number in unit form is all mixed up convert it tostandard form
Answer:
Step-by-step explanation:
What number?
Which ratio is an equivalent ratio to the tape diagram? Select all that apply.
12 to 15
3 to 4
8 to 10
4 to 10
Answer:
hi kermit
Step-by-step explanation:
the answer is 4 to 10 its a 50 50 chance of wrong or right
Answer:
b
Step-by-step explanation:
I'm going with my gut along with what the image shows me.
The CEO of a large company claims that 85% of customers are repeat customers. They define a repeat customer as someone who makes more than one purchase per month. A random sample of 200 customers shows that 162 are repeat customers. Do these data provide convincing evidence at the 5% significance level that less than 85% of customers of this company are repeat customers?
Answer:
1. customers
2. all customers
3. 170
4. 30
5. 10
Step-by-step explanation:
edgen 2020 :)
c) If the speed of the car is tripled, what will happen to the time taken?
Answer:
I think the time taken will be 1/3 of what the time is now since the time of the car is tripled.
Step-by-step explanation:
Answer:
divide time by 3 since time&speed are directly proprtional
Step-by-step explanation:
so there.
Solve for this equation: 500:10||x:50
x=10 and pls give me a thanks
A sonographer is trying to determine the size of a gallstone. If
the stone is spherical and has a diameter of 12 millimeters, what
Is its volume?
Answer:
0.9 cubic centimeters
Step-by-step explanation:
What is the first step equation=6x – 4x + 3 = 15
A.
Add 4x to both sides of the equation.
B.
Subtract 4x to both sides of the equation.
C.
Combined the variable terms on the left side of the equation.
D.
Combine the constant terms on the right side of the equation.
On Monday, Deborah ran 3 2− 5miles and on Tuesday she ran 4 1− 5miles. How many miles did she run on these two days together?
Mixed fraction:
3 2/5 = 17/5
4 4/5 = 24/5
Miles she ran:
17/5 + 24/5
= 41/5 miles or 8.2 miles
what is the approximate area of the shaded sector in the circle shown below?
Answer:
The sector given in the figure is a semi-circle because the degree measure of the chord is 180 degrees.
Area of semicircle = 0.5π[tex]r^{2}[/tex] = 0.5π×4.5 = 6.75 sq. inches
Which expression represents 4 less than twice a number, n?
Answer:
x = 2n - 4
Step-by-step explanation:
hope this helped have a great day
find QR. 18+x + 2x+23=17
Step-by-step explanation:
1.) x+2x=17-18-23
2)3x=-24
3)x=. -8
Martin is an after-school math tutor. He noticed that 6 people still needed help and only Two-fifths of the tutoring session time was left. Since each person is to be given an equal amount of time, Martin wrote the expression below to find the fraction of the tutoring session each person who still needed help would be allotted.
Two-fifths divided by 6
Which expression is equivalent to Martin’s expression?
StartFraction 6 Over 15 EndFraction divided by 6
StartFraction 6 Over 5 EndFraction divided by 2
Five-halves times 6
Two-fifths times 6
Answer:
150
Step-by-step explanation:
Answer:
150 is the answer of 2/5 divided by 6
Step-by-step explanation:
If the circumference of the circle is 24 inches what is the
approximate diameter
Answer:
7.64 in.
Step-by-step explanation:
The diameter of the circle whose circumference is 24 inches is 7.654 inches.
What is a circle?A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).
Given:
The circumference of the circle, C = 24 inches,
Calculate the radius of the circle as shown below,
Circumference = [tex]2\pi r[/tex]
C = 2 × π r
r = 24 / 2π
r = 3.819
r = 3.82 inches
Calculate the diameter as shown below,
Diameter = 2 × r
Diameter = 2 × 3.82
Diameter = 7.639 inches
Thus, the diameter is 7.64 inches.
To know more about circle:
https://brainly.com/question/266951
#SPJ2
Please help and don’t answer with random letters I actually need the answer
Multiply x ^ (3/4) * x ^ (1/5)
1) x ^ (4/9)
2) x ^ (3/20)
3) x ^ (11/20)
4) x ^ (19/20)
Answer:
the answer is 4) i think
Step-by-step explanation:
i'm not sure but what i know, if the base is the same number, u can just add the power. for example, the bases is the same number which is x, so u can just solve the power which 3/4 + 1/5 then u get answer.
p/s: sorry for my english
select all the equations on which the point (10, 0) lies. A. 5x+2y=15 B. 2x+4y=20 C. x+6y=10 D. 3x+3y=13 E. 4x+2y=20 F. 6x+y=50
Answer:
The answer to this problem is B, C, and E.
Step-by-step explanation:
The true equations are B. 2x+4y=20 and C. x+6y=10
How to determine the equations?The point is given as (10,0)
This means that:
x = 10 and y = 0
Next, we test the options by substituting the above values.
So, we have:
A. 5x+2y = 15
5(10) + 2(0) = 15
50 = 15 ---- false
B. 2x+4y = 20
2(10) + 4(0) = 20
20 = 20 ---- true
C. x+6y=10
10 + 6(0) = 10
10 = 10 ---- true
D. 3x+3y=13
3(10) + 3(0) = 13
30 = 13 ---- false
E. 4x+2y=20
4(10) + 2(0) = 20
40 = 20 ---- false
F. 6x+y=50
6(10) + 0 = 50
60 = 50 ---- false
Hence, the true equations are B. 2x+4y=20 and C. x+6y=10
Read more about linear equations at:
https://brainly.com/question/14323743
#SPJ9
Use the given x and y values to write a direct variation
equation.
x = 5, y = 25
Answer:
k= 1/5
Step-by-step explanation:
x is proportional to y
x = ky (k is const.)
k = x/y
k= 5/25
k = 1/5
Answer:
Equation of direct variation is : [tex]\mathbf{y=5x}[/tex]
Step-by-step explanation:
We are given: x= 5 and y=25
We need to write equation of direct variation.
The formula for direct variation is: [tex]\mathbf{y=kx}[/tex]
So, if y=25 and x=5, k will be:
[tex]y=kx\\25=k(5)\\k=\frac{25}{5}\\k=5[/tex]
So, equation of direct variation is : [tex]\mathbf{y=5x}[/tex]
The degree of the expression 4x5ymz is 10. What is the value of m?
Answer:
the answer is 4
Step-by-step explanation:
Alone, Brenda can dig a ditch in 5 hours. If Jack helps her, the two of them can dig
the ditch in 3 hours. How long would it take Jack to dig the ditch himself?
Brainliest if answered first
Answer:
7.5 hours
Step-by-step explanation:
1/5 in 1 hour and 1/3 in one hour
1/3-1/5 is 2/15
backwards is 15/2
7.5 hours
Hope this helps plz hit the crown ;D
hellpppppp due today will give brainliest
Answer:
The last option. <3
1. Francisco invested $5,000 into an account that earns 3% compounded quarterly. How many
times will Francisco earn interest after keeping the money in the account for 5 years?
2. What will be the value of his account in 5 years if he does not make any additional deposits or
withdrawals?
3. After how many years will Francisco’s account reach $10,000
4. If Francisco wanted to double his money in 12 years, what Interest rate would his account have to earn?
Answer:
10,002.21
Step-by-step explanation:
1)4x5= 20 times
2) principal= 5000
interest rate per year= 3%
compounded times per year=4
time in years = 5
the formula is amt= p*(1+r/n)^(n*t)
thus
Amount = 5805.92
3) If time in years = 23.2
then
amount = 10,002.56
4) Principal = 5,000
interest rate per yr= 5.82%
Compounded times per year = 4
time in years =12
Muller Farms uses at least 800 lb of special feed daily. The special feed is a mixture of corn and soybean meal with the following compositions:
lb per lb of feedstuff
Feedstuff Protein Fiber Cost ($/lb)
Corn .09 .02 .30
Soybean meal .60 .06 .90
The dietary requirements of the special feed are at least 30% protein and at most 5% fiber. The goal is to determine the daily minimum-cost feed mix.
(a) Formulate a linear programming (LP) problem to model the situation (minimizing cost and satisfying constraints). (Hint: let x1 be the lb of corn in the daily mix, and x2 represent the lb of soybean meal in the daily mix. Formulate objective function and constraints (3 constraints and non-negativity) according to the information given above)
(b) Set up an Excel sheet with the information of this LP problem.
(c) Use Excel Solver to compute the solution to this diet problem.
(d) Include in your report a screenshot of the Excel sheet you used to and a solution.
Answer:
470.59x₁ + 329,41x₂ = $437.65
Step-by-step explanation:
minimize: 0.30x₁ + 0.90x₂
where:
x₁ = pounds of corn
x₂ = pounds of soybean
constraints:
x₁ + x₂ ≥ 800
0.09x₁ + 0.60x₂ ≥ 0.30(800) ⇒ 0.09x₁ + 0.60x₂ ≥ 240
0.02x₁ + 0.06x₂ ≤ 0.05(800) ⇒ 0.02x₁ + 0.06x₂ ≤ 40
x₁ ≥ 0
x₂ ≥ 0
the optimal solution is: 470.59x₁ + 329,41x₂ = $437.65