1) By the inscribed angle theorem, \(m\angle B=\frac{1}[2}(60^\circ})=\boxed{30^{\circ}}\)
2) By the inscribed angle theorem, arc RT measures twice 63 degrees, or 126 degrees.
1+1 i a struggling whit this answer plz help
Answer:
the answer u r looking for is 5 I might be wrong tho lol
PLEASE HELPP!!
A hollow cylinder (empty from inside) is obtained rotating a 2D figure about the axis h, as shown in the image.
h
Which 2D figure was rotated to obtain the hollow cylinder?
Check the picture below.
Data analysis and probability unit test
Students should be able to apply these concepts and tools in real-world situations, such as calculating the probability of winning a game or analyzing data from a scientific Experiment.
The probability is a measure of the possibility of an event happening. It is expressed as a fraction or decimal between 0 and 1, or as a percentage between 0% and 100%. Probability can be used to determine the likelihood of an event happening or not happening.
Data analysis is the process of analyzing data to extract valuable insights from it. It involves examining data sets to uncover trends, patterns, and relationships that can be used to make informed decisions. Data analysis is an important tool in many fields, including business, finance, and science.
The data analysis and probability unit test assesses students' understanding of these concepts and their ability to apply them in real-world situations.
The test typically includes questions that require students to use probability to determine the likelihood of an event happening or not happening, as well as questions that ask students to analyze data sets to extract valuable insights.In order to prepare for the data analysis and probability unit test, students should review the key concepts and formulas related to probability, such as the addition rule, the multiplication rule, and the complementary rule.
They should also practice analyzing data sets using tools like histograms, scatter plots, and box plots, and should be familiar with key concepts like mean, median, and mode.
Finally, students should be able to apply these concepts and tools in real-world situations, such as calculating the probability of winning a game or analyzing data from a scientific experiment.
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PLS HELP ME WITH THIS
Using it's concept, the experimental probability of getting an odd number and a number greater than 6 is given by:
1/5.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes. An experimental probability is calculated considering the results of previous trials.
In this problem, there are 10 trials, and of those, 2 of them, trial 8 and trial 10, resulted in an odd number and a number greater than 6, hence the probability is:
p = 2/10 = 1/5.
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Dean shovels a driveway in d minutes and Rad shovels a driveway in r minutes. Together they shovel a driveway in 6 minutes
If d and r are positive integers, what are the possible pairs d and r
The possible pairs d and r if d and r are positive integers is (2, 4)
How to determine the possible pairs d and r
From the question, we have the following parameters that can be used in our computation:
Dean = d
Rad = r
Altogether, we have
Both = 6
This means thst
d + r = 6
d and r are positive integers
This means that
d, r > 0
Set d = 2
So, we have
2 + r = 6
Evaluate
r = 4
This means that the possible pairs d and r is (2, 4)
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what is the decimal value of the following binary number? 10011101
The following binary number has the value of 157 in decimal form.
How can a binary number be converted to a decimal?Step 1: Compose the binary number in writing. 10011101
Multiplying each binary digit by the corresponding power of two in step two:
1x27 + 0x26 + 0x25 + 1x24 + 1x23 + 1x22 + 0x21 + 1x20
Solve the powers in Step 3:
1x128+0x64+0x32+1x16+8+4+0x2+1x1=128+0 + 0 + 0 + 16+8+4+0 + 0 + 1
Step 4: Add the figures listed above:
128 + 0 + 0 + 16 + 8 + 4 + 0 + 1 = 157.
What does the binary number system mean?A binary number is a number that is expressed in the binary system or base 2 numeral system, according to digital technology and mathematics. It talks about numerical values.by the two distinct digits 1 (one) and 0 (zero). The base-2 system is the positional notation that uses 2 as the radix.
Define decimal.A number that has been divided into a whole and a fraction is called a decimal. To express the numerical value of entirely and partially entire quantities between integers, decimal numbers are used.
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If £2000 is placed into a bank account that pays 3% compound interest per year how much will be in the account after two years
Answer:
£2121.8
Step-by-step explanation:
2000 X 1.03 X 1.03 = 2121.8
Adele and Nellie are hosting events that are catered by the same company. Adele plans to have 94 adults and 45 children attend, so the total projected cost of her meals is $5,502. Nellie has 94 adults and 86 children on her guest list, so she will pay the caterer $6,404. How much does the caterer charge for each meal?
Answer:
about 35.58$
Step-by-step explanation:
Im assuming that the adult and children meals are the same price. So you just have to add up the amount of children + adults and then divide that by the price of the caterers charge by the amount of people that come to the events.
So you get 35.58$ for each meal.
Hope this helps:)
Answer
Meals for children cost $22 Meals for adults cost $48
Step-by-step explanation:
let x = adults and y= children
Adele: 94x+45y=5502
Nellie: 94x+86y=6404
As you notice they both are catering the same amount of adults.
1. subtract 6404-5502=902
2. subtract 86-45=41
3. 41y=902 y=22
4. plug y into one of the two equations 94x+86(22)= 6404
5. solve the equation
94x+ 1892=6404 6404-1892=4512
94x=4512
x=48
help i’m in algebra
Answer:
80 dollars.
Step-by-step explanation:
function f(x) = 5* x
You are asked to find the price for a 16 in^2 painting.
f(x) = 5*16
f(x) = 80
This problem is hard to put into language because the units are in^2 but you do not square the number on the right. It is give to you as units^2
f(x) is in dollars.
Solder-less lugs are quoted at $4.25 each less 40% for standard packages of 100 (quote includes the 40 percent discount). What will be the cost if only 22 are ordered at list price less 35%
The cost of ordering 22 solder-less lugs at the list price less 35% will be $101.20.
Solder-less lugs are priced at $4.25 each, including a 40% discount when purchased in standard packages of 100. To find the original price without the discount, we'll first calculate the price before the 40% discount:
$4.25 / (1 - 0.40) = $4.25 / 0.60 = $7.08 (rounded to 2 decimal places)
Now, if you only need 22 solder-less lugs and are eligible for a 35% discount, we'll calculate the discounted price for each lug:
$7.08 * (1 - 0.35) = $7.08 * 0.65 = $4.60 (rounded to 2 decimal places)
Finally, to find the total cost for 22 solder-less lugs with a 35% discount, we'll multiply the discounted price by the quantity ordered:
$4.60 * 22 = $101.20
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19 Suppose you are building a rain shelter for a local park. The function y = 2 csc e models the lengthy of rafters needed if the peak is 2 feet above the top of the wall. The angle e is formed by the rafters and the top of the wall at of 2 Wall not drawn to scale Use a graphing calculator. Find the length of the rafters needed to make the roof for q 7". Round to the nearest tenth of a foot Select one: O a 2.5 feet Ob 16.4 feet Ос. 0.2 feet od 2 feet
Answer:
b 16.4 ft
Step-by-step explanation:
To solve this problem using a graphing calculator, we need to plug in the value of q (which is given as 7) into the equation y = 2 csc e, and then graph the resulting equation.
First, we need to convert the angle e from degrees to radians, because the csc function takes its input in radians. We can use the conversion formula:
radians = degrees x (π/180)
So for e = 2, we have:
e (in radians) = 2 x (π/180) = 0.0349 radians
Now we can plug this value into the equation y = 2 csc e:
y = 2 csc(0.0349) ≈ 103.8 feet
This tells us that the length of the rafters needed to make the roof is approximately 103.8 feet. However, the question asks us to round to the nearest tenth of a foot, so the answer is:
y ≈ 103.8 feet ≈ 103.8 rounded to the nearest tenth of a foot
Therefore, the length of the rafters needed to make the roof for q 7" is approximately 103.8 feet, rounded to the nearest tenth of a foot.
So the correct answer is (b) 16.4 feet.
Using the graphing calculator, we find that the length of the rafters needed is approximately 16.4 feet, Therefore, the correct answer is option B, 16.4 feet.
To find the length of the rafters needed for the roof with an angle of 7 degrees, we'll use the given function y = 2 * csc(e), where e is the angle formed by the rafters and the top of the wall. Here's a step-by-step explanation:
1. Convert the angle from degrees to radians: e (in radians) = (7 degrees * π) / 180 ≈ 0.1222 radians.
2. Calculate the cosecant (csc) of the angle e: csc(0.1222) ≈ 8.185.
3. Plug the value of csc(e) into the function: y = 2 * 8.185 ≈ 16.37.
Using a graphing calculator, we can input the function y = 2 csc e and graph it. Then, we can use the given angle of 2 to find the length of the rafters needed for a roof with a peak of 7 feet.
4. Round the length to the nearest tenth of a foot: 16.37 ≈ 16.4 feet.
When we graph the function, we can see that the length of the rafters is the distance between the x-axis and the point on the graph where y = 7.
So, the length of the rafters needed to make the roof for an angle of 7 degrees is approximately 16.4 feet (Option b).
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27 divided by 8181. Thanks!
Answer: 0.00330033003
simplify
\( {a}^{ - 2} {b}^{3} \)
Answer:
Below
Step-by-step explanation:
● a^(-2) *b^3
●(1/a^2) *b^3
● b^3 / a^2
Verify that x(t) = C1et + C2 is a solution to x" − x' = 0. Find C1 and C2 so that x(t) satisfies x(0) = 10 and x'(0) = 100. Sketch a graph of the solution x(t) given the calculated values of C1 and C2.
The graph of x(t) can be drawn by substituting the values of C1 and C2 into the equation
The second-order linear differential equation can be written as follows:x''(t) - x'(t) = 0To verify that x(t) = C1et + C2 is a solution, we need to differentiate the given function twice and substitute the resulting values back into the equation.x(t) = C1et + C2Differentiating x(t) = C1et + C2 with respect to t once,x'(t) = C1e tDifferentiating x'(t) = C1e t with respect to t once,x''(t) = C1e tSince the resulting values for x''(t) and x'(t) are equal, we can state that x(t) = C1et + C2 is indeed a solution to x''(t) - x'(t) = 0.For x(t) = C1et + C2 to satisfy x(0) = 10 and x'(0) = 100, the following conditions must be satisfied:x(0) = C1e0 + C2 = 10⇒ C1 + C2 = 10andx'(0) = C1e0 = 100⇒ C1 = 100We can solve the two equations above to obtain C1 and C2:C1 + C2 = 10, C1 = 100∴ C2 = - 90Therefore, C1 = 100 and C2 = - 90.The graph of x(t) can be drawn by substituting the values of C1 and C2 into the equation x(t) = C1et + C2 and plotting the resulting function on a graph. This will yield a rising exponential curve that levels off as it approaches the x-axis.
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find three positive numbers whose sum is 130 and whose product is a maximum. (enter your answers as a comma-separated list.)
The three positive numbers whose sum is 130 and whose product is a maximum are 43.33, 43.33, and 43.34 (rounded to two decimal places), respectively.
To find three positive numbers whose sum is 130 and whose product is a maximum, we can use the AM-GM inequality, which states that the arithmetic mean of a set of non-negative numbers is always greater than or equal to the geometric mean of the same set of numbers, with equality holding only when all the numbers are equal.
Let x, y, and z be the three positive numbers we are looking for. Then, according to the AM-GM inequality, we have:
(x + y + z)/3 ≥ (xyz)^(1/3)
Multiplying both sides by 3 and cubing, we get:
(x + y + z)^3 ≥ 27xyz
Expanding the left-hand side and using the fact that x + y + z = 130, we obtain:
x^3 + y^3 + z^3 + 3(xy^2 + x^2y + yz^2 + y^2z + zx^2 + z^2x) ≥ 27xyz
Since we want to maximize the product xyz, we can assume without loss of generality that x ≤ y ≤ z. Then, we can use the fact that x + y + z = 130 to obtain the following inequality:
z ≥ 43.33
Therefore, the three positive numbers that maximize the product are approximately 43.33, 43.33, and 43.34, and their product is approximately 81,537.53.
So the three positive numbers whose sum is 130 and whose product is a maximum are 43.33, 43.33, and 43.34 (rounded to two decimal places), respectively.
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. 6. Find 2 numbers whose difference is 152 and whose product is a minimun (Write out the solution) ( 10pts) 7. Find f if f"(x) = 2 + x^3 + x^6 (Spts)
The function f(x) = \(x^2 + 1/20 x^5 + 1/56 x^8\) is the solution.
Here are the solutions to the given problems:
Solution for problem 6:
Let x and y be the two numbers where x>y, where the difference between them is 152.
So, x = y + 152
Multiplying the two equations, we have the product of the numbers, xy, as follows:
xy = (y + 152) yxy
=\(y^2 + 152y\)
For the product to be a minimum, we need to determine the derivative of the function with respect to y.
Therefore, we differentiate the product of the two numbers with respect to y as follows:
dy/dx(xy) =
2y + 152 = 0
=> 2y = -152
=> y = -76
We can substitute y = -76 into the equation
x = y + 152 to obtain:
x = -76 + 152
= 76
Therefore, the two numbers are -76 and 76. The difference between them is 76 - (-76) = 152, which satisfies the condition.
The product of the two numbers is -76 x 76 = -5776, which is the minimum value.Solution for problem 7:
The second derivative of f(x) is given as
f''(x) = \(2 + x^3 + x^6.\)
We can find f'(x) by integrating f''(x) with respect to x as follows:
f'(x) = \(\int(2 + x^3 + x^6) dx\)
= \(2x + 1/4 x^4 + 1/7 x^7 + C1\)
Where C1 is the constant of integration. To determine C1, we use the initial condition that
f'(0) = 0.f'(0)
= \(2(0) + 1/4 (0)^4 + 1/7 (0)^7 + C1\)
= 0
=> C1 = 0
Therefore, f'(x) = \(2x + 1/4 x^4 + 1/7 x^7\)
To obtain f(x), we can integrate f'(x) with respect to x as follows:
f(x) =\(\int(2x + 1/4 x^4 + 1/7 x^7) dx\)
=\(x^2 + 1/20 x^5 + 1/56 x^8 + C2\)
Where C2 is the constant of integration. To determine C2, we use the initial condition that
f(0) = 0.f(0)
= \(0^2 + 1/20 (0)^5 + 1/56 (0)^8 + C2\)
= 0
=> C2 = 0.
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The two numbers whose difference is 152 and whose product is minimized are x = 76 and y = -76.
To find two numbers whose difference is 152 and whose product is a minimum, let's denote the two numbers as x and y.
Difference: x - y = 152
We need to find the values of x and y that minimize the product xy.
We can rewrite the difference equation as y = x - 152 and substitute it into the product equation:
P = xy
= x(x - 152)
= x² - 152x
To find the minimum value of P, we can take the derivative of P with respect to x and set it equal to zero:
P' = 2x - 152 = 0
Solving for x:
2x = 152
x = 76
Substituting x = 76 back into the difference equation:
y = 76 - 152
y = -76
Therefore, the two numbers whose difference is 152 and whose product is minimized are x = 76 and y = -76.
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Paul received a loan of $30,000, 5 years ago. The interest rate charged on the loan was 4.86% compounded quarterly for the first 6 months, 5.52% compounded semi-annually for the next 2 years, and 5.91% compounded monthly thereafter.
a. Calculate the accumulated value of the loan at the end of the first 6 months. Round to the nearest cent
b. Calculate the accumulated value of the loan at the end of the next 2 year period. Round to the nearest cent
c. Calculate the accumulated value of the loan today. Round to the nearest cent d. Calculate the amount of interest charged on this loan over the past 5 years. Round to the nearest cent
The accumulated value of the loan after 6 months is approximately $30,766.47. The accumulated value of the loan after the next 2 years is approximately $35,255.63. The accumulated value of the loan today is approximately $44,202.61. The total amount of interest charged on the loan over the past 5 years is approximately $14,202.61.
The loan was compounded quarterly for the first 6 months, so the number of compounding periods is n = 2 (since there are 2 quarters in 6 months). The interest rate per quarter is r = 4.86%/4 = 1.215%. The accumulated value of the loan after 6 months is
A = P(1 + r)^n = 30000(1 + 0.01215)^2 ≈ $30,766.47
The loan was compounded semi-annually for the next 2 years, so the number of compounding periods is n = 4 (since there are 4 semi-annual periods in 2 years). The interest rate per semi-annual period is r = 5.52%/2 = 2.76%. The accumulated value of the loan after the next 2 years is
A = P(1 + r)^n = 30766.47(1 + 0.0276)^4 ≈ $35,255.63
The loan has been compounded monthly for the past 5 years, so the number of compounding periods is n = 5 × 12 = 60. The interest rate per month is r = 5.91%/12 = 0.4925%. The accumulated value of the loan today is
A = P(1 + r)^n = 35255.63(1 + 0.004925)^60 ≈ $44,202.61
The total amount of interest charged on the loan over the past 5 years is the accumulated value of the loan minus the principal amount, which is
I = A - P = 44202.61 - 30000 = $14,202.61
Therefore, the amount of interest charged on this loan over the past 5 years is approximately $14,202.61.
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Can anyone help me with H?
Answer:
13 units
Step-by-step explanation:
It is an equilateral triangle, so all sides have the same length
find x if m<2=6x-12
a)12
b)9
c)6
d)-7
Answer:
12 ,,............,.,...,,,.
The value of x is 12 (Option a) if m∠2 = 6x - 12.
The given figure is an equilateral triangle, it means all three angles are equal. Therefore, we can assume that m∠2 is one of the angles of the equilateral triangle.
From the given information, we have:
m∠2 = 6x - 12
Since all angles of an equilateral triangle are equal, we can set up the equation:
m∠2 = m∠1 = m∠3
Let's assume m∠1 = m∠2 = m∠3 = y (where y represents the measure of each angle in the equilateral triangle).
We can equate the measures of the angles:
y = 6x - 12
Now, let's solve this equation to find the value of x:
6x - 12 = y
Since y represents the measure of each angle in the equilateral triangle, we can substitute y with 60° (since the sum of the angles in an equilateral triangle is 180°, and each angle is 60°).
6x - 12 = 60
Adding 12 to both sides:
6x = 72
Dividing both sides by 6:
x = 12
Therefore, the value of x is 12.
So, the correct option is: (a) 12
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Which two features are parts of a line graph?
A a line of best fit
Answer:
D and C
Step-by-step explanation:
yes
A lump of butter has a mass of 250 g and a volume of 290 cm³. Find its density in g/cm³. Give your answer to 3 decimal places.
The density in butter has a mass of 250g and volume of 290cm³ is 0.862 g/cm³.
What is meant by density?Density is a physical property of matter that is defined as the amount of mass per unit of volume. It is measured in units of kilograms per cubic meter (kg/m^3) and is usually represented by the Greek symbol ρ (rho).
Density is a measure of how tightly the particles of a substance are packed together. The denser a substance is, the more mass it contains in a given volume.
Most commonly, density is used to compare different substances, such as solids, liquids, and gases.
In general, solids are more dense than liquids, and liquids are more dense than gases.
The density of a substance can change based on temperature, pressure, and other factors. For example, water has a greater density at 4°C than at any other temperature, and the density of a gas increases with increasing pressure.
Density is an important factor in many physical and chemical processes, including buoyancy, diffusion, and surface tension.
Density is also used in many calculations, such as calculating the volume of a container or the mass of an object.
Density, p = m/v
Where, m is mass of butter and v is volume of butter.
p = 250/290
p = 0.862 g/cm³
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(1 point) parameterize the plane that contains the three points (1,−2,−5), (−10,−6,−12), and (15,20,10). r⃗ (s,t)=
The parameterized plane that contains the three points is r(s,t) = (1,−2,−5) + s(−11,−4,−7) + t(14,22,15).
To parameterize the plane that contains the three points (1,−2,−5), (−10,−6,−12), and (15,20,10), we can use a vector equation.
We can choose any of the given points as r. Let's choose (1,−2,−5) as our r
r = (1,−2,−5).
To find v, we need to subtract r from any two points on the plane. Let's choose (−10,−6,−12) and (15,20,10) as our points.
⃗v = (−10,−6,−12) - (1,−2,−5) = (−11,−4,−7).
Similarly, we can subtract r from another pair of points. Let's choose (−10,−6,−12) and (15,20,10) again.
⃗w = (15,20,10) - (1,−2,−5) = (14,22,15).
Now we have all the necessary components to parameterize the plane.
r(s,t) = (1,−2,−5) + s(−11,−4,−7) + t(14,22,15).
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what’s 3.8 - (-7.45)? write it in a simplified fraction
Answer:
11.25
Step-by-step explanation:
Since there is a double negative, you just simply add the two numbers together.
\(3.8 + 7.45=11.25\)
Hope this helps :)
A right rectangular prism has a length of 10 centimeters a width of 2.5 centimeters and a height of 0.9 centimeters what is the volume of the rectangular prism
Answer:
22.5
Step-by-step explanation:
22.5 Cubic centimeters is the volume of the rectangular prism.
What is volume?Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.
Given, A right rectangular prism has a length of 10 centimeters a width of 2.5 centimeters and a height of 0.9 centimeters
From the general formula of Volume of rectangular prism:
Volume = length * width * height
In our case,
Length = 10 cm
width = 2.5 cm
and height = 0.9 cm
thus, Volume = 10 * 2.5 * 0.9
Volume = 22.5
Therefore, the volume of the given rectangular prism is 22.5 Cubic centimeters.
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Which expression is equal to 21/48?
a. 1/2 x 11/48
b. 7/12 x 3/4
c. 3/48 x 7/48
d. 10/6 x 11/8
Answer:
option b
Step-by-step explanation:
21/48 reduced to it's lowest term is 7/16 and solving option b... 7/12 ×3/4 3 would divide 12 to give 4 and multiply what you have left which is 7/4 ×1/4 would be equal to 7/16
the expression to the left of the equals sign is not a valid target for an assignment. matlab
Answer:
The comparison operator is == if( image(j,k,m) == i)
you welcome
Step-by-step explanation:
the family fine arts center charges $24 per adult and $12 per senior citizen for its performances. on a recent weekend evening when 483 people paid admission, the total receipts were $7548. how many who paid were senior citizens?
337 were senior citizens.
What is the system of equations?
A system of equations, also known as an equation system or a set of simultaneous equations, is a finite set of equations for which common solutions are sought.
Here, we
Let
x = the number of adult tickets sold
y = the number of senior tickets sold
483 people paid admission => a total of 483 tickets were sold and
x + y = 483
the total receipts were $7548
24x + 12y = 7548
by solving the system of equations
x + y = 483....(1)
24x + 12y = 7548....(2)
From equation (1), we get
x = 483-y....(3)
Now, we put the value of x in equation (2) and we get
24(483 - y) +12y = 7548
11592 - 24y + 12y = 7548
12y = 4044
y = 337
Now, we put the value of y in equation (1) and we get
x = 483 - 337
x = 146
Hence, 337 were senior citizens.
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Show one way that five children share
two pizzas equally
if there is 2 pizza and 5 children then 1/5 (fraction) of a pizza, or two slices, must be given to each child.
Start with two pizzas of equal size. Cut each pizza into 5 equal slices, so you have a total of 10 slices. Give each child 2 slices of pizza. Each child receives 2 slices of pizza, which is:
2/10 = 1/5 of a pizza
Each child now has 1/5 of a pizza.
Since there are 5 children, the total amount of pizza shared is:
5 × (1/5) = 1 pizza
Therefore, each child has 1/5 of a pizza, or 0.2 of a pizza.
To get the total amount of pizza that was shared, we can add up the amount of pizza each child received:
5 × (2/10) = 1 pizza
So, each child receives 2 slices of pizza, which is 1/5 of a pizza, and the total amount of pizza shared is 2 pizzas, or 1 whole pizza per 2 children.
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Write out the first four terms of the Maclaurin series of f(x) if f(0) = -10, f'(0) = 4, f"0) = -2, F"(0) = 11 f(1) = -10+4x-1x^2-11/6x^3 +...
The first four terms of the Maclaurin series of f(x) can be determined using the provided values. The Maclaurin series is an expansion of a function around x = 0. In this case, the series can be expressed as f(x) = -10 + 4x - (1/2)x^2 + (11/6)x^3 + ...
To find the coefficients of the series, we can use the formula for the Maclaurin series coefficients. The coefficient of x^n is given by f^(n)(0) / n!, where f^(n)(0) represents the nth derivative of f(x) evaluated at x = 0.
Using the provided values, we have f(0) = -10, f'(0) = 4, f"(0) = -2, and f"'(0) = 11. Plugging these values into the formula, we can find the coefficients for each term in the series.
For the first four terms, the coefficients are as follows:
The coefficient of x^0 is f(0) = -10.
The coefficient of x^1 is f'(0) = 4.
The coefficient of x^2 is f"(0) / 2! = -2 / 2 = -1.
The coefficient of x^3 is f"'(0) / 3! = 11 / 6.
Therefore, the first four terms of the Maclaurin series for f(x) are -10 + 4x - (1/2)x^2 + (11/6)x^3.
Learn more about Maclaurin series here:
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Finding the volume of a cylinder
Step-by-step explanation:
Here
Radius=r=2.1mHeight=h=6.3m
\( \sf \: volume_{(Cylinder)} {\gray{\begin{cases} \sf \rightarrowtail \: \pi {r}^{2}h \\ \sf \rightarrowtail \: 3.14 \times {(2.1)}^{2} \times 6.3 \\ \sf \rightarrowtail \: 3.14 \times 4.41 \times 6.3 \\ \sf \rightarrowtail \: 87.23 \\ \sf \rightarrowtail \: 87.2 {m}^{3} \end{cases}}}\)