The angle measure is given as follows:
θ = 1/3 radians.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the equation presented as follows:
C = 2πr.
The radius is half the diameter, hence it is given as follows:
r = 27 ft. (half the diameter).
Hence the circumference is given as follows:
C = 54π cm.
The fraction represented by a distance of 9 ft is given as follows:
9/54π = 1/6π
The entire circumference is of 2π units, hence the angle is given as follows:
1/(6π) x 2π = 1/3 radians.
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I’ll give brainlist!!What is the restricted domain of the quadratic(y=x^2 +4) that would ensure that the inverse is a function? Justify the answer
Finding the Inverse of a Polynomial Function by Restricting the Domain
Substitute y for f(x).Replace x with y.After determining y, rename the function to f−1(x).What is meant by Polynomial Function?When a variable in an equation like the quadratic equation, cubic equation, etc. has only non-negative integer powers or only positive integer exponents, the function is said to be polynomial. One polynomial with an exponent of 1 is 2x+5, for instance. Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. For polynomial expressions, addition, subtraction, multiplication, and positive integer exponents are all arithmetic operations that are possible, however division by variables is not one of them. The absence of square roots of variables, fractional or negative powers on the variables, and the absence of variables in any fraction's denominator are specifically required for an expression to qualify as a polynomial term.To learn more about Polynomial Function, refer to:
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Jessica has $70,000 in the bank and is earning 5% compounded monthly. She plans to purchase a used car, for which the down payment is $500 and the monthly payments are $280?
Will her monthly interest cover the cost of the down payment? Explain?
Answer:
Yes
Step-by-step explanation:
5% of 70,000 is 3,500 (70,000 x 0.05 = 3,500)
That means she is earning at least $3,500 a month from interest.
$3,500 is plenty to cover the monthly payment of $280.
You know what, I think Jessica should get a brand new car instead.
Yes, her monthly interest will cover the cost of the down payment and Jessica should get a brand-new car instead.
How to find the compound interest?If n is the number of times the interest is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
\(a = p(1 + \dfrac{r}{n})^{nt}\)
We have given that Jessica has $70,000 in the bank and is earning 5% compounded monthly.
And the down payment is $500 and the monthly payments are $280
5% of 70,000 = 3,500
70,000 x 0.05 = 3,500
That means that she is earning at least $3,500 per month from interest.
$3,500 is plenty of amounts to cover the monthly payment of $280.
Therefore, Yes her monthly interest will cover the cost of the down payment and Jessica should get a brand-new car instead.
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the equation y=12.7x+15.2 estimates the amount that businesses will spend, in billions of dollars, on internet software to conduct transactions via the web, where x is the number of years after 2002. for what years will the spending be more than $66 billion?
The years when the spending be more than $66 billion is in 4 years time.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
The equation is given as y=12.7x+15.2 and the amount is $66 billion. Therefore, the value of x will be:
y=12.7x+15.2
66 = 12.7x + 15.2
Collect like terms
12.7x = 66 - 15.2
12.7x = 50.8
Divide
x = 50.8 / 12.7
x = 4
The number of years is 4.
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Mitch is buying candy bars for his friends he wants to give 2 bars to each friend and he wants to have 10 spare bars he can afford to buy 24 candy bars
Answer:
e can treat 7 friends
Step-by-step explanation:
2f+10=24
2f=24-10=14
f=14/2=7
carly had 18 rolls of wrapping paper
Answer:
uh huh she has 18 rolls of wrapping paper
Answer:
27
Step-by-step explanation:
Help me eeeeeeeeeeeeee
Answer: WITH ALL OF IT OR ONE OF THEM
Step-by-step explanation:
please help on either of these questions, im lost. :((
Answer:
2. I think is 5
Step-by-step explanation:
Answer : The answer to the second question is -5. Option A.
I'm confused about what the first question means.
Ann, ben , cheryl share money ratio 3:7:10 ben get £660 more than ann what was the tital amount they shared
Given:
Ann, Ben , Cheryl share money ratio 3:7:10 .
Ben get £660 more than Ann.
To find:
The total amount they shared.
Solution:
Let Ann, Ben , Cheryl share money 3x, 7x, 10x respectively.
Ben get £660 more than Ann. So, difference of their share must be £660.
\(7x-3x=660\)
\(4x=660\)
\(x=\dfrac{660}{4}\)
\(x=165\)
Now, the total amount they shared is:
\(Total=3x+7x+10x\)
\(Total=20x\)
\(Total=20(165)\)
\(Total=3300\)
Therefore, the total amount they shared is £3300.
Help pls help me!!!!!
Answer:
C
Step-by-step explanation:
This is your answer because when you do the math you get c as your answer.
Hope this help:)
pls mark brainly
Answer:
The answer is C
Step-by-step explanation:
You had $72.31 at the beginning of the month but you deposited $11.27 and $14.76 so if you add all of those you get $19.84
Have a great day!
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what is the quoitent of 3 and 1\3 divided by 1 and 1\6
Answer: Exact form: 20/7
Mixed number: 2 6/7
B. 24D. 943. The function f(x) = 6,000(0.5)* models the amount of bacteria on a tablex seconds after being sprayed with cleaner. How much of the bacteria hasbeen removed from the table after 3 seconds?c. 4,000A 750D. 5,250B. 2,000
First, evaluate the given function at x=3 to find the amount of bacteria left after 3 seconds:
\(\begin{gathered} f(x)=6000(0.5)^x \\ \\ \Rightarrow f(3)=6000(0.5)^3=6000(0.125)=750 \end{gathered}\)There are 750 bacteria left after 3 seconds. Since the initial amount of bacteria was 6000, subtract 750 from 6000 to find the amount of bacteria that has been removed:
\(6000-750=5250\)Therefore, the amount of bacteria that has been removed after 3 seconds is 5250.
The correct choice is Option D) 5250.
On a softball field, home plate is 43 feet from the pitcher's mound. A ball is hit at an angle of 27° east of the pitcher's mound. The ball travels 162 feet before it is caught by an outfielder. A triangle is drawn on a baseball field. A point is at home plate, another point is at the pitcher apostrophe s mound, and another point is at an outfielder. The distance from home plate to the pitcher is 43 feet. The distance from home plate to the outfielder is 162 feet. The angle between the 2 sides is 27 degrees. Law of cosines: How far must the outfielder throw the ball to return it to the pitcher? Round to the nearest foot. 112 feet 125 feet 145 feet 156 feet
Answer:
c = 125 f
Step-by-step explanation:
Let´s call points A ( home plate ) B (pitcher´s place ) and C ( outfielder place)
these three points form a triangle in which according to cosine law, one side of a triangle c can be calculated by the equation:
c² = a² + b² - 2a*b*cos∡a,b
a and b are the other sides of the triangle and ∡a,b is the angle between sides a and b
All distances are in feet then the distance between outfielder and pitcher (c) is in feet:
c² = (43)² + ( 162)² - 2*(43)*(162)*cos 27° cos 27° = 0,891
c² = 1849 + 26244 - 12413,4
c² = 15679,6
c = √15679,6
c = 125 f
select all that apply stem-and-leaf diagrams can be used to multiple select question. determine how dispersed the data are. observe individual data points. analyze the shape of the data. analyze qualitative data.
Stem and leaf diagrams can be used to analyze the shape of the data, determine how dispersed the data are, and observe individual data points.
The options given to us are:
1. Determine how dispresed the data are
2. Observe individual data points
3. Analyze the shape of the data
4. Analyze quantitative data
A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.
A stem and leaf plot is shown as a customised table with the first or final digit of each data value divided into a stem and the remaining digit in a leaf. The stem and leaf plot key is the symbol " | " that is used to display the stem and leaf values.
This, here, the right options are:
Option #1: Determine how dispresed the data are
Option #2: Observe individual data points
Option #3: Analyze the shape of the data
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Stem and leaf diagrams can be used to analyze the shape of the data, determine how dispersed the data are and observe individual data points.
The options given to us are:
1. Determine how dispersed the data are
2. Observe individual data points
3. Analyze the shape of the data
4. Analyze quantitative data
A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.
A stem and leaf plot is shown as a customised table with the first or final digit of each data value divided into a stem and the remaining digit in a leaf. The stem and leaf plot key is the symbol " | " that is used to display the stem and leaf values.
This, here, the right options are:
Option #1: Determine how dispresed the data are
Option #2: Observe individual data points
Option #3: Analyze the shape of the data
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Which could be the length of Side B C? 11 ft 13 ft 15 ft 18 ft
Answer:
give me more information on what the problems about pls
Step-by-step explanation:
Answer:
11ft or A
Step-by-step explanation:
What is the x-value of the vertex of the function?
30n^(2)+78n-36=0
Answer:
0
Step-by-step explanation:
trust
(0.24) divided by 6/10
Answer:
0.4
〜
Darling, all you need to do is, factor the numerator and denominator and cancel the common factors, and you'll get the answer 0.4.
Write an equation in slope intercept form with a slope of 1/4 and a y-intercept of 6
Answer:
y=1/4x+6
Step-by-step explanation:
Noah borrowed $17 from his mother. He then paid back $8 of the amount he owed.
Complete the statements to represent the change in the amount of money that
Noah's mother has.
Click the arrows to choose an answer from each menu.
The change in the amount of money that Noah's mother
has can be represented by the
expression Choose... The expression can be simplified to Choose... which
shows that Noah still owes Choose... to his mother.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Amount Noah borrowed from his mother = $17
Amount paid = $8
Change in the amount of money Noah's mother has :
Let initial amount her mother has = x
Hence, the amount she has after Noah paid $8 to her will be :
Initial amount - amount borrowed + amount paid
= x - $17 + $8.
The simplified amount = x - $9
The amount Noah still owes :
Total amount owed - amount paid
$17 - $8 = $9
The change in the amount of money that Noah's mother will be $ 9.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Noah borrowed $17 from his mother. He then paid back $8 of the amount he owed.
Then the amount owed will be given as the difference between the initial amount and paid amount.
→ $ 17 - $ 8
→ $ 9
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Long-run average cost curve is a curve that shows the __________ average total cost at which it is __________ to produce each output when the firm has had sufficient time to change both its plant size and labor employed.
Long-Run Average Cost Curve is a curve that shows the lowest average total cost at which it is possible to produce each output when the firm has had sufficient time to change both its plant size and labor employed.
What is Long-Run Average Cost Curve also known as?A Long-Run Average Cost Curve is also known as a planning curve. This is considering a firm plans to create an output in the long run by selecting a plant on the long run average cost curve corresponding to the output.
It is also called envelope curve, because it envelopes all short run average cost curves. Particularly, it envelops the short run the production levels or the production points.
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i took a sample of the grade point averages for students in my class. for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89. the standard error for the sample was:
The standard error for the sample was 0.13 when "for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89."
What is standard error?The standard deviation of a statistic's sampling distribution, or an estimate of that standard deviation, is the statistic's standard error. The term "standard error of the mean" is used when referring to a statistic that is the sample mean. By dividing the standard deviation by the square root of the sample size, the standard error is determined. By taking into account the sample-to-sample variability of the sample means, it provides the precision of a sample mean.
Here,
The standard error=standard deviation/√number of samples
=0.65/√25
=0.65/5
=0.13
When "for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89," the standard error for the sample was 0.13.
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A) Consider a linear transformation L from R^m to R^n
. Show that there is an orthonormal basis {v1,...,vm}
R^m such that the vectors { L(v1 ), ,L ( vm)}are orthogonal. Note that some of the vectors L(vi ) may be zero. Hint: Consider an orthonormal basis 1 {v1,...,vm } for the symmetric matrix AT A.
B)Consider a linear transformation T from Rm to Rn
, where m ?n . Show that there is an orthonormal basis {v1,... ,vm }of Rm and an orthonormal basis {w1,...,wn }of Rn such that T(vi ) is a scalar multiple of wi , for i=1,...,m
Thank you!
A) For any linear transformation L from R^m to R^n, there exists an orthonormal basis {v1,...,vm} for R^m such that the vectors {L(v1),...,L(vm)} are orthogonal. B) For any linear transformation T from Rm to Rn, where m is less than or equal to n, there exists an orthonormal basis {v1,...,vm} of Rm and an orthonormal basis {w1,...,wn} of Rn such that T(vi) is a scalar multiple of wi, for i=1,...,m.
A) Let A be the matrix representation of L with respect to the standard basis of R^m and R^n. Then A^T A is a symmetric matrix, and we can find an orthonormal basis {v1,...,vm} of R^m consisting of eigenvectors of A^T A. Note that if λ is an eigenvalue of A^T A, then Av is an eigenvector of A corresponding to λ, where v is an eigenvector of A^T A corresponding to λ. Also note that L(vi) = Avi, so the vectors {L(v1),...,L(vm)} are orthogonal.
B) Let A be the matrix representation of T with respect to some orthonormal basis {e1,...,em} of Rm and some orthonormal basis {f1,...,fn} of Rn. We can extend {e1,...,em} to an orthonormal basis {v1,...,vn} of Rn using the Gram-Schmidt process. Then we can define wi = T(ei)/||T(ei)|| for i=1,...,m, which are orthonormal vectors in Rn. Let V be the matrix whose columns are the vectors v1,...,vm, and let W be the matrix whose columns are the vectors w1,...,wn. Then we have TV = AW, where T is the matrix representation of T with respect to the basis {v1,...,vm}, and A is the matrix representation of T with respect to the basis {e1,...,em}. Since A is a square matrix, it is diagonalizable, so we can find an invertible matrix P such that A = PDP^-1, where D is a diagonal matrix. Then we have TV = AW = PDP^-1W, so V^-1TP = DP^-1W. Letting Q = DP^-1W, we have V^-1T = PQ^-1. Since PQ^-1 is an orthogonal matrix (because its columns are orthonormal), we can apply the Gram-Schmidt process to its columns to obtain an orthonormal basis {w1,...,wm} of Rn such that T(vi) is a scalar multiple of wi, for i=1,...,m.
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a(n) ________ is a complicated set of possibly nonlinear equations.
A neural network is a complicated set of possibly nonlinear equations. There are at least two degrees to a nonlinear equation.
This means that a variable in the equation can only be raised to the power of two or higher. A linear equation is typically represented as y = mx + c, where x and y are variables, m is the line's slope, and c is a constant. A nonlinear equation is one in which the highest degree of any term is two or greater. Since equation 1 has the highest degree of 2, and equation 2 involves variables x and y, this is an example of a nonlinear equation. + 2x + 1 = 0, 3x + 4y = 5, etc.
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3) A moving target at a police academy target range can be hit 88% of the time by a particular individual. Suppose that as part of a training exercise, eight shots are taken at a moving target. a) What 3 characteristics of this scenario indicate that you are working with Bernoulli trials? b) What is the probability of hitting the 6
th
target (Hint: think of this as a single trial)? c) What is the probability that the first time hitting the target is not until the 4 th shot?
a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).
b. The probability of hitting the 6th target is:
P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88
c. Using the binomial probability formula as before, with p = 0.88 and n = 3:
P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)
P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)
P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)
a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:
The experiment consists of a fixed number of trials (eight shots).
Each trial (shot) has two possible outcomes: hitting the target or missing the target.
The probability of success (hitting the target) is constant for each trial (88% or 0.88).
b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where:
P(X = k) is the probability of getting exactly k successes,
C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,
p is the probability of success in a single trial, and
n is the total number of trials.
In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:
P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88
c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.
P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)
The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:
P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)
Using the binomial probability formula as before, with p = 0.88 and n = 3:
P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)
P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)
P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)
Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.
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How is the quotient 5 to the 8th power expressed as a power of 5
Answer:
5^4
Step-by-step explanation:
When dividing exponents with the same base, you subtract their exponents.
8-4=4
This means that 5^8 / 5^4 is equal to:
5^4
m*3 + 2m*3
m cubed plus 2m cubed
Can someone help me please
==========================================================
Explanation:
This is a 45-45-90 right triangle. Any triangle of this form is isosceles, where the two legs are the same length. In this case, m and n are those two legs. So m = n.
We can then apply the Pythagorean theorem to say
a^2 + b^2 = c^2
m^2 + n^2 = (9*sqrt(2))^2
m^2 + m^2 = 9^2*(sqrt(2))^2
2m^2 = 81*2
m^2 = (81*2)/2
m^2 = 81
m = sqrt(81)
m = 9
As a shortcut, the hypotenuse of a 45-45-90 triangle is equal to sqrt(2) times the length of either leg. If m is the length of the leg, then m*sqrt(2) is the length of the hypotenuse. So in a sense, we take this thought process backwards to go from a hypotenuse 9*sqrt(2) to a leg length of 9.
Let fx) = 4(3)*. Complete the table below.
1
12
x
Your answer
b=
Your answer
0
4
2
36
3
a
4
b
Equation for that line slope 12.
What is the process for determining a linear function's equation given two points?If we know the slope between two points on a line, we may use that information to solve for the y-intercept in the slope-intercept equation y=mx+b, which will then allow us to formulate an equation for that line. Writing an equation for the line passing through the points (-1,6) and (5,-4).
Standard form, slope-intercept form, and point-slope form are the three main types of linear equations.
If we know the slope between two points on a line, we may use that information to solve for the y-intercept in the slope-intercept equation y=mx+b, which will then allow us to formulate an equation for that line.
Explanation:
F(x) = 4(3) = 12.
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NEED ANSWER ASAP DOING A QUIZ
what is the area of the figure
Answer:
the answer should be 126
Step-by-step explanation:
when you are looking for the area you multiple all of them so i should be right
Answer:
76.5
Step-by-step explanation:
6+3=9
1/2b*h
1/2*9*3=13.5
7*9=63
13.5+63=76.5
=76.5
Solve the following equation for y.
b = x (y - 3)
Complete the table. Write each as a fraction, decimal, and percent. Fraction Decimal Percent 3% % 1.5 1% 13 20 2. 3 %
Answer:
Step-by-step explanation:
3% in a decimal is 0.03.