The period of an function, is how many times it takes to complete one cycle, if the period is 2π then after 2π the function would have been completed one entire cycle, but what I mean by cycle?
It's when the function start again, these functions are called periodic functions for a reason, after between that interval, the function goes up, goes to 0 again, go down and finally goes zero again, it means a cycle! the function goes up, down and then return to the same point.
If you look at the picture, the function took 2π just to go up and zero, it needs more 2π to go down and return to zero, then it's period is 4π.
The bottom function complete its cycle in just π!
I hope you liked it, maybe the draw will help you!
Any doubt? just write in the comment and I'll help you.
Find the perimeter of the figure to the nearest hundredth.
6 cm
10 cm
8 cm
12 cm
Answer:
36 cm
Step-by-step explanation:
Perimeter = sum of lenght of all sides
Perimeter = 6 + 10 + 8 + 12
Perimeter = 36 cm
Question
n⃗ =⟨−2, −1⟩ and D=[−4423].
What is D⋅n⃗ ?
Enter your answer as a vector by filling in the boxes.
The dot product of the D⋅n is 32.
According to the statement
We have given the value of n vector and d matrix and we have to find the dot product of these.
So, For this purpose,
The given values:
n = {-2,-1} and D = [−4423].
The dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers, and returns a single number.
So, The d matrix become
\(D = \left[\begin{array}{cc}-4&4&\\2&3&\\\end{array}\right]\)
Now solve it with the help of multiplication then the matrix become
D = (-12, -8)
and n = {-2,-1}
Now multiply both terms with the dot product.
So, the dot product of the both terms will become
D.n = 24 +8
Then
The output of the dot product of both terms is 32.
So, The dot product of the D⋅n is 32.
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Please help fast please
Answer:
A not similar
Step-by-step explanation:
72 × 2 = 144
78 × 2 = 156
Find the missing angles.
with solution
Hello!
y = 88° (opposite are equal)
z = 180° - 128° = 52° (straight angle = 180°)
x = 180° - 140° = 40° (straight angle = 180°)
Answer:
x=40°
y=88°
z=52°
Step-by-step explanation:
Solution Given:
x+140°=180°
Since the sum of the angle of a linear pair or straight line is 180°.
solving for x.
x=180°-140°
x=40°
\(\hrulefill\)
y°=88°
Since the vertically opposite angle is equal.
therefore, y=88°
\(\hrulefill\)
z+128°=180°
Since the sum of the angle of a linear pair or straight line is 180°.
solving for z.
z=180°-128°
z=52°
Can somebody help me if you know what this is
Answer:The LCM of 15 and 20 is 60.
Step-by-step explanation: I used the internet/gggle
The group of individuals fitting a description is the _____
A.census
B.sample
C.parameter
D.population
The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.
What is population?The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.
There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.
Therefore, the correct option is D
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See full text below
A group of individuals fitting a description is the _____
Which of the term below fit the description above.
A.census
B.sample
C.parameter
D.population
. Let X and Y be random variables of possible percent returns (0%, 10%,
15%, and 20%) for stock A and, with the joint probability distribution given
in the Table below:
Joint Probability Distribution for Random Variables X and Y
Y Return
X Return 0 5 10 15
0 0.0625 0.0625 0.0625 0.0625
5 0.0625 0.0625 0.0625 0.0625
10 0.0625 0.0625 0.0625 0.0625
15 0.0625 0.0625 0.0625 0.0625
(a) Find the marginal probabilities.
(b) Determine if X and Y are independent.
(c) Find the means and variances of both X and Y.
(a) The marginal distribution of X is
Pr(X = x) = ∑ Pr(X = x, Y = y)
… = 0.0625 + 0.0625 + 0.0625 + 0.0625
… = 0.25
That is, the first equality follows from the law of total probability, with the sum taken over y from {0, 5, 10, 15}. Each probability Pr(X = x, Y = y) is given in the table to be 0.0625.
Similarly, the marginal distribution of Y is
Pr(Y = y) = 0.25
(b) Yes, they're independent because
Pr(X = x, Y = y) = 0.0625,
and
Pr(X = x) Pr(Y = y) = 0.25 • 0.25 = 0.0625.
(c) The mean of X is
E[X] = ∑ x Pr(X = x)
… = 0.25 ∑ x
… = 0.25 (0 + 5 + 10 + 15)
… = 7.5
and you would find the same mean for Y,
E[Y] = 7.5
The variance of X is
V[X] = E[X^2] - E[X]^2
… = (∑ x^2 Pr(X = x)) - 7.5^2
… = 0.25 (∑ x^2) - 56.25
… = 0.25 (0^2 + 5^2 + 10^2 + 15^2) - 56.25
… = 31.25
and similarly,
V[Y] = 31.25
(each sum is taken with x and y from {0, 5, 10, 15})
The 13-year $1,000 par bonds of Vail Inc. pay 13 percent interest. The market's required yield to maturity on a comparable-risk bond is 14 percent. The current market price for the bond is $870.
a. Determine the yield to maturity.
The current market price for the bond is $870 the yield to maturity is 14.13%
How is yield to maturity calculated?The approximate yield to maturity of this bond is 11.25%, which is above the annual coupon rate of 10% by 1.25%. You can then use this value as the rate (r) in the following formula: C = future cash flows/coupon payments. r = discount rate (the yield to maturity)
knowing that:
Face value (par value) of the bond (F) = $1,000Annual coupon rate (C) = 13% of the face value = 0.13 * $1,000 = $130Years to maturity (n) = 13 yearsCurrent market price of the bond (P) = $870the formula is:
\(P = (C / (1 + r))^1 + (C / (1 + r))^2 + ... + (C + F) / (1 + r)^n\)
Putting the values:
\($870 = (130 / (1 + r))^1 + (130 / (1 + r))^2 + ... + (130 + 1,000) / (1 + r)^13\)
Using the math we find that the percentage is approximately 14.13%;
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Enter the number that belong in the green box please help
Step-by-step explanation:
Since we have three sides and trying to find an angle, use Law of Cosines
\(c = \sqrt{ {a}^{2} + {b}^{2} - 2ab \times \cos(d) } \)
where c is
Solving for the angle d.
\( \cos {}^{ -1 } (( \frac{ {c}^{2} - {b}^{2} - {a}^{2} }{ - 2ab} ) = d\)
where d is in degrees
The angle d is the opposite of the side c.
It does not matter what a and b is(they can be either 4 or 5)
let
c=7
a=4
b=5
\( \cos {}^{ - 1} ( \frac{ - 1}{5} ) = d\)
This angle must be within 0 and 180
We get
\(d = 101.54\)
Find all zeros? One zero has been given.
The zeros of the function f(x) = 2x⁴ + 11x³ + 16x² + x - 6 are x = -3, x = -2,
x = -1 and x = 1/2 respectively
What is the zeros of a function?The zero of a real-, complex-, or generally vector-valued function f, is a member x of the domain of f such that f(x) vanishes at x; that is, the function f attains the value of 0 at x, or equivalently, x is the solution to the equation f(x) = 0. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.
In the given problem, the zero of the function;
f(x) = 2x⁴ + 11x³ + 16x² + x - 6; -3 are
f(-3) = 2(-3)⁴ + 11(-3)³ + 16(-3)² -3 - 6 = 0
f(-2) = 2(-2)⁴ + 11(-2)³ + 16(-2)² - 2 - 6 = 0
f(-1) = 2(-1)⁴ + 11(-1)³ + 16(-1)² - 1 - 6 = 0
f(1/2) = 2(1/2)⁴ + 11(1/2)³ + 16(1/2)² - 1/2 - 6 = 0
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BRAINLIEST!!!
YOU HAVE 5 MINUTES!!!!
Design an easy do-it-yourself compost bin that can be put (exnfe ffpao)
together at home. You can describe it, draw and label it, or both!
Include the following in your design:
• drawing or description of design
• materials used for the bin
• size of the bin
• substances used to fill it
• household items that can go in it
• how long it takes before it is ready
• how you use the compost
2)
Compost bin design: Add these household items to
your compost bin:
Compost is ready to use in this
much time:
Use your compost this way:
Designing an easy do-it-yourself compost bin:
Drawing and Description:
The compost bin can be a simple structure made of wood or wire mesh. It consists of four sides, a bottom, and a removable lid. The sides and bottom are connected securely to form a rectangular shape, while the lid allows for easy access to the contents inside.
The bin can be placed directly on the ground or on a solid surface, depending on personal preference.
Materials Used:
Wood or wire mesh (depending on preference)
Nails or screws to assemble the structure
Size of the Bin:
The size of the bin can vary based on the available space and the amount of compostable materials you generate. A suitable size for a home compost bin could be approximately 3 feet wide, 3 feet deep, and 3 feet tall.
Substances Used to Fill It:
To fill the compost bin, you would need a mix of "green" and "brown" materials. "Green" materials include fruit and vegetable scraps, coffee grounds, tea leaves, grass clippings, and plant trimmings. "Brown" materials consist of dry leaves, shredded newspaper, cardboard, and small twigs.
Household Items That Can Go in It:
You can add a variety of household items to the compost bin, such as fruit and vegetable peels, eggshells, coffee grounds, tea bags, yard waste (leaves, grass clippings, plant trimmings), shredded paper, cardboard, and natural fibers (like cotton or wool scraps).
Time for Compost to Be Ready:
The time it takes for the compost to be ready varies depending on factors like temperature, moisture, and the type of materials used. Generally, it takes about 2 to 6 months for compost to fully decompose and become ready to use.
Using the Compost:
Once the compost has broken down into a dark, crumbly, and earthy material, it is ready to use. You can spread it in your garden beds or pots as a nutrient-rich soil amendment. It improves soil structure, retains moisture, and provides essential nutrients for plants' growth.
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What is 3 + 4 1/3
Plz help I really would appreciate it :D
Answer:
7 1/3
Step-by-step explanation:
Add the whole numbers in the equation:
3+4=7
This will get you 7 1/3
Brittany's W-2 reported total Medicare withholding based on wages of as $117,676. She contributed
$72.07 biweekly to her FSA and 10% of each paycheck to her retirement plan. She received a 1099 from
her bank for interest and dividends of $2,404 and a 1099 form in the amount of $4,600 from an employer
for whom she did some consulting work. What is Brittany's adjusted gross income?
Answer:
Step-by-step explanation
I:
Vincent earns $546 on Monday and he earns $352 on Tuesday. How much total money does Vincent earn?
Answer:
$898
Step-by-step explanation:
Easy, 546 + 352 =
898
Compute the required rate of return on two stocks with beta values of 0.5 and 2 respectively assuming the risk-
free rate of 5% and the market return of 10% using the capital asset pricing model. Please show work. Thank you.
The required rate of return for the stock with a beta of 0.5 is 7.5% and for the stock with a beta of 2 is 15%.
What is Rate of return?Rate of return is the amount of profit or loss earned on an investment over a certain period of time, expressed as a percentage of the initial investment or total asset value.
What is stock?A stock is a type of security that represents ownership in a company. Investors buy stocks to become shareholders and share in the company's profits and losses.
According to the given information:
The Capital Asset Pricing Model (CAPM) is expressed as:
R = Rf + beta*(Rm - Rf)
Where:
R = Required rate of return
Rf = Risk-free rate of return
beta = Beta coefficient (systematic risk)
Rm = Expected market return
Using the given values, we can compute the required rate of return for each stock:
Stock with beta of 0.5:
R = 5% + 0.5*(10% - 5%)
R = 7.5%
Stock with beta of 2:
R = 5% + 2*(10% - 5%)
R = 15%
Therefore, the required rate of return for the stock with beta of 0.5 is 7.5%, and the required rate of return for the stock with beta of 2 is 15%.
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what is a example of a false conditional statement and a true converse
Answer:
if you get good grades then you will not get into a good college
Step-by-step explanation:
Write the prime factorization of 38.
Add 10% of 300 to 50% of 20
Answer:
40
Step-by-step explanation:
10% of 300 = 300/10 = 30
50% of 20 = 20/2 = 10
30+10=40
perimeter.
6) A quadrilateral can have 2
reflex angles.
Answer:
False
Step-by-step explanation:
Answer:
A quadrilateral can't have 2 reflex angles
Step-by-step explanation:
A quadrilateral can't have 2 reflex angles because reflex angles > 180° so if you add two together, it is > 360°
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
URGENT!!!! PLS HELP
Use the figure to find the measure of angle 5
Trey invested $15,000 into a savings account for five years at 7% interest. How much is in the account if the interest is compounded monthly?
Multipuly po ba (15;000 7%)
1 point
Barbara financed a new bedroom set at the furniture store for $1,800. The store offered no interest for 6 months or 20 percent annually if the balance
was not paid in full prior to the end of the interest free period. How much interest will she be charged once she lets the account go past 6 months
before making a payment?
Answer:
She will be charged $180 once lets the account go past 6 months before making a payment.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
\(E = P*I*t\)
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
\(T = E + P\)
In this question:
If she pays within 6 months, she is not charged any interest.
However, if after 6 months she has not paid the balance, she is charged 20% interest for this period.
Barbara financed a new bedroom set at the furniture store for $1,800.
This means that \(P = 1800\)
20 percent interest
This means that \(I = 0.2\)
How much interest will she be charged once she lets the account go past 6 months?
6 months is half a year, so this is E when \(T = 0.5\)
\(E = P*I*t\)
\(E = 1800*0.2*0.5\)
\(E = 180\)
She will be charged $180 once lets the account go past 6 months before making a payment.
A chocolatier makes chocolate bon-bons in the shape of a sphere with a radius of 2cm. The chocolate used in the bon-bons has a density of 1.31 g/cm^3. If the chocolate
used costs $0.06 per gram, how much would the chocolate for 140 bon-bons cost, to
the nearest cent?
We will get the mass of each chocolate sphere, and the cost of 140 of these is $368.56
How much would it cost?
A sphere of radius R has a volume:
V = (4/3)*3.14*R^3
The mass of a sphere of chocolate will be given by the volume times the density, then one ball of chocolate has a mass:
M = (4/3)*3.14*(2cm)^3*(1.31 g/cm^3) = 43.88 g
And we know that the cost is of $0.06 per gram, the cost for 140 of these spheres is:
cost = 140*(44.88 g)*$0.06 = $368.56
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Based on a $600 loan amount, rank the following companies from the lowest to highest annual percentage rate (APR)
The ranking from the lowest to highest APR for the given companies is A, B, D, C.
The correct option is b.
To rank the companies from the lowest to highest Annual Percentage Rate (APR) based on a $600 loan amount, we need to calculate the APR for each company. The formula to calculate APR is APR = (Fees / Loan Amount) * (365 / Terms of Loan).
Let's calculate the APR for each company:
For Company A:
APR_A = ($60 / $600) x (365 / 18) = 0.1 x 20.28 = 2.028%
For Company B:
APR_B = ($80 / $600) x (365 / 12) = 0.1333 x 30.42 = 4.054%
For Company C:
APR_C = ($90 / $600) x (365 / 10) = 0.15 x 36.5 = 5.475%
For Company D:
APR_D = ($110 / $600) x (365 / 14) = 0.1833 x 26.07 = 4.79%
Now, we can rank the companies from the lowest to highest APR:
Company A - APR: 2.028%
Company B - APR: 4.054%
Company D - APR: 4.79%
Company C - APR: 5.475%
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What is 7/11 x 1/4 in simplest form
Answer:
\(\frac{7}{11} * \frac{1}{4}\) = \(\frac{7}{44}\).
Cannot reduce it. Then it will make the numerator a decimal
Which cannot happen.
\(\frac{7}{44}\) is the answer then
Answer:
7/11 x 1/4 = 0.015
I hoped it helped you.
Suppose set A contains 336 elements and the total number elements in either set A or set B is 642. If the sets A and B have 78 elements in common, how many elements are contained in set B?
Answer:
math
Step-by-step explanation:
How long is a average teen suppose to be
Answer:
The way adolescents spend their time can strongly influence their health later in life. For youth to maintain a healthy future, they need plenty of sleep; good nutrition; regular exercise; and time to form relationships with family, friends, and caring adults. Additionally, the time adolescents spend in school and in after-school activities with peers and adults can advance healthy academic, emotional, social, and physical development. The amount of time they spend on screens and in social media may also influence adolescents’ overall well-being.
The American Time Use Survey, collected by the U.S. Bureau of Labor Statistics, contains detailed information about how individuals ages 15 and older use their time and provides a picture of a typical weekday and weekend day for a high school teen during the school year. Here we specifically analyze how adolescents ages 15-19 who are enrolled in high school spend their time.
Step-by-step explanation:
The ratio 5/8 to 10/9 has a unit rate of 9/16
True or false
Answer:
This is false.
Step-by-step explanation:
The easiest thing to do is notice that 8 goes into 16 whilst 9 doesn't so that shows 9/16 would not be the unit rate.
The ratio 5/8 to 10/9 has a unit rate of 9/16 is false.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given are two ratios 5/8 and 10/9.
The unit rate of (5/8) is (5/8)/(8/8) = 5/8 = 0.625 similary the unit rate of the ratio 10/9 is 1.11.
Now, the unit rate of 9/16 is 0.5625 which is not in the range of two ratio's unit rates.
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Scores on a common final exam are normally distributed with mean 71 and standard deviation 9. Department policy is that the top 10% of students receive an A. The minimum exam score to be awarded an A is about:
Answer:
The minimum exam score to be awarded an A is about 8.52.
Step-by-step explanation:
Let X represent the scores on a common final exam.
It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.
It is provided that according to the department policy is that the top 10% of students receive an A.
That is, P (X > x) = 0.10.
⇒ P (X < x) = 0.90
⇒ P (Z < z) = 0.90
The corresponding z-score is:
z = 1.28
Compute the value of x as follows:
\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)
Thus, the minimum exam score to be awarded an A is about 8.52.