The measure of the value of variable {x} is 9.
The complete circle subtends 360 degrees at the center. So, we can write that -
(12x)° + (2x + 5)° + (17x - 14)° + 90° = 360°
12x + 2x + 5 + 17x - 14 + 90 = 360
31x + 81 = 360
x = 9
So, the measure of the value of variable {x} is 9.
Therefore, the measure of the value of variable {x} is 9.
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what is the answer for this question
(0-1)(0+1)
Answer:
Step-by-step explanation:
-1
the LSRL after an exponential transformation is lof y=0.986 + 3.149x. what is the exponential form of the regression
The exponential form of the regression 9.68(1409)^x .
An exponential function is described as a characteristic with a nice regular other than 1 raised to a variable exponent. A function is evaluated with the aid of solving at a specific input price. An exponential model can be found when the boom fee and preliminary cost are recognized.
As Harvard commercial enterprise review put it, “The incremental mindset makes a speciality of making something higher, at the same time as the exponential mindset makes a speciality of making something distinct. Incremental is glad with just five percent.
The exponential characteristic is a mathematical feature denoted by using f(x)=exp or e^{x}. Until in any other case specific, the term commonly refers to the fine-valued function of a actual variable, despite the fact that it is able to be extended to the complicated numbers or generalized to other mathematical items like matrices or Lie algebras.
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Euler's method explains why solutions of the form y(t)=e^at(Acos(Bt) + Bsin(Bt)_ satisfy a 2nd-order, linear, homogenous ODE with constant coefficients whose characteristic equation has roots 1,2 =α±βi.
a. true b. false
The given ODE with roots 1,2 = α ± βi, which have the form y(t) = e^(αt)(Acos(βt) + Bsin(βt)). The statement is false.
Euler's method is a numerical method for approximating solutions to ordinary differential equations (ODEs), but it does not provide any explanation for the form of solutions to specific ODEs.
The form of solutions to a second-order, linear, homogeneous ODE with constant coefficients can be determined by finding the roots of the characteristic equation. If the roots of the characteristic equation are complex conjugates of the form α ± βi, then the solution has the form y(t) = e^(αt)(Acos(βt) + Bsin(βt).
This solution form can be derived using techniques such as the method of undetermined coefficients or the method of variation of parameters, which do not involve Euler's method.
Therefore, Euler's method is not relevant to explaining the form of solutions of the given ODE with roots 1,2 = α ± βi, which have the form y(t) = e^(αt)(Acos(βt) + Bsin(βt)) . The statement is false.
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Choose the best selection for thequadrilateral with vertices at thefollowing points:(0,0), (1,3), (5,0), (6,3)Hint: Start by graphing the points.Distance Formula: d= 7(x2 – x1)2 + (y2 - y1)2A. RectangleB. TrapezoidC. RhombusD. Parallelogram
Solution
We have the following coordinates:
(0,0), (1,3), (5,0), (6,3)
We can find the distance between the vertices like this:
\(d=\sqrt[]{(1-0)^2+(3-0)^2}=\sqrt[]{10}\)\(d=\sqrt[]{(5-0)^2+(0-0)^2}=5\)\(d=\sqrt[]{(6-0)^2+(3-0)^2}=\sqrt[]{45}\)\(d=\sqrt[]{(5-1)^2+(0-3)^2}=5\)\(d=\sqrt[]{(6-5)^2+(3-0)^2}=\sqrt[]{10}\)\(d=\sqrt[]{(6-0)^2+(3-0)^2}=\sqrt[]{45}\)Then the correct answer for this case is:
D. Parallelogram
Matt wants to decorate his skateboard with decals. His skateboard is 28 3/4 inches long. The decals are 5 1/2 inches long. If matt arranged them in a line from the front to the back how many decals will fit?
Answer:
5 decals
Step-by-step explanation:
Given that :
Length of skateboard = 28 3/4
Length of decals = 5 1/2 inches
The number of decals that will fit can be obtained by:
Dividing the length of skateboard by the length of Decal
28 3/4 ÷ 5 1/2
115 /4 ÷ 11/ 2
115 / 4 * 2 /11
(115 * 2) / (4 * 11)
230 / 44
= 5.227
Hence, the number of decals that will fit is 5
SALES An automobile company sold 2.3 million new cars in a year. If the average price per car was $21,000, how
much money did the company make that year? Write your answer in scientific notation.
Therefore, the company made $48.3 million (written in scientific notation as 4.83 x 10⁷) that year from selling new cars.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The expressions on both sides of the equals sign must have the same value for the equation to be true. Equations can involve a wide range of mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. They are used to solve problems in various fields such as physics, engineering, economics, and many others.
Here,
To find the total revenue generated by the company, we need to multiply the number of new cars sold by the average price per car. We can do this as follows:
Total revenue = number of new cars sold x average price per car
Total revenue = 2.3 million x $21,000
To multiply these two numbers, we can use the distributive property:
Total revenue = (2.3 x 10⁶) x ($21,000)
Total revenue = 2.3 x $21 x 10⁶
Multiplying 2.3 by 21 gives us 48.3, which we can write in scientific notation as 4.83 x 10¹. We can then add the exponents to get:
Total revenue = 4.83 x 10¹ x 10⁶
Total revenue = 4.83 x 10⁷
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What are the vertices of ΔA'B'C' if ΔABC is dilated by a scale factor of 3?
The vertices of ΔA'B'C' can be found by multiplying the coordinates of the vertices of ΔABC by the scale factor of 3.
Therefore, if the coordinates of the vertices of ΔABC are (x₁,y₁), (x₂,y₂), then the coordinates of the vertices of ΔA'B'C' are (3x₁,3y₁), (3x₂,3y₂), and (3x₃,3y₃). This is because a dilation stretches or shrinks a shape by a factor, and the coordinates of the vertices are affected accordingly.
Step 1: Identify the coordinates of the vertices of ΔABC. Let's assume the vertices are A(x₁,y₁), B(x₂, y₂), and C(x₃, y₃).
Step 2: Multiply each coordinate by the scale factor of 3:
A'(3x₁,3y₁), B'(3x₂, 3y₂), and C'(3x₃, 3y₃).
Step 3: Write down the coordinates of the new vertices A', B', and C' after dilation.
The vertices of ΔA'B'C' are A'(3x₁,3y₁), B'(3x₂, 3y₂), and C'(3x₃, 3y₃).after dilating ΔABC by a scale factor of 3.
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you wish to determine the average number of orders placed in the west. what excel formula would be best to use.
The following formula to calculate the average number of orders placed in the West:
= AVERAGE(number1, [number2], ...)
To determine the average number of orders placed in the West, you can use the AVERAGE function in Excel.
The syntax for the AVERAGE function is:
= AVERAGE(number1, [number2], ...)
Where number 1, number 2, etc. are the cells or ranges of cells that contain the data that you want to average.
For example, if the data for the number of orders placed in the West is in cells B2:B5, you can use the following formula to calculate the average number of orders placed in the West:
=AVERAGE(B2:B5)
This formula will return the average of the values in cells B2 through B5. If you want to include additional cells or ranges of cells in the calculation, you can simply add them to the formula separated by commas, like this:
=AVERAGE(B2:B5, C2:C5, D2:D5)
This formula will return the average of the values in cells B2 through B5, C2 through C5, and D2 through D5.
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Choose the graph of this equation. y = 2.5x
Answer:
answers is option C
Step-by-step explanation:
answer option C
The graph of the equation y = 2.5x is the graph in Choice A where evidently, the slope of the graph is 2.5.
To determine which graph is the graph of the equation y = 2.5x;
We must know that the equation takes the slope-intercept form of the equation of a straight line;
Given by; y = mx +c.By comparison, the slope, m = 2.5 and the intercept, c = 0.By observation, the graph drawn in Choice A has a slope of 2.5.
This is evident when we set the value of x = 2, we consequently get the value of y = 5.
The graph of Choice A is has a point represented by the coordinates, (2,5).
Ultimately, the correct answer is Choice A.
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A marriage counselor is interested in the proportion of clients she counsels who stay married. Define the following in terms of the study. Give examples where appropriate. Part (a) The population A. The population is a group of clients of this counselor. B. The population is all of the clients of this counselor. C. The population is all of the clients of this counselor who stay married. D. The population is all couples in marriage counseling.
Depending on how many couples in marriage counseling exist outside of this counselor's practice.
A. The population is a group of clients of this counselor - this would include all of the clients of the counselor, regardless of whether or not they stayed married.
B. The population is all of the clients of this counselor - this would include all of the clients of the counselor, regardless of whether or not they stayed married.
C. The population is all of the clients of this counselor who stay married - this would include only the clients of the counselor who stayed married.
D. The population is all couples in marriage counseling - this would include all couples, regardless of whether they were clients of this counselor or not.
For example, if the counselor had 100 clients and 50 of them stayed married, the population of part (a) would be 100, the population of part (b) would be 100, the population of part (c) would be 50, and the population of part (d) could be larger or smaller than the other parts, depending on how many couples in marriage counseling exist outside of this counselor's practice.
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statement: if two noncollinear rays join at a common endpoint, then an angle is created. which geometry term does the statement represent?
The statement "if two noncollinear rays join at a common endpoint, then an angle is created" represents the geometry term "angle."
In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle.
The two rays are called the sides of an angle, and the common endpoint is called the vertex.
The angle that lies in the plane does not have to be in the Euclidean space.
An angle is formed when two non-collinear rays join at a common endpoint.
This endpoint is called the vertex of the angle.
The two rays are referred to as the arms of the angle.
Angles can be classified according to their degree measurement.
An acute angle measures less than 90 degrees, a right angle measures exactly 90 degrees, and an obtuse angle
measures between 90 and 180 degrees.
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PLEASE HELP
Which of the following will form the composite function G(Ax)) shown
below?
GAx)) = (x + 1)3 - 6
O A. Ax) = x+1 and G(x) = x3 - 6
B. Ax) = (x + 1)2 and G(x) = -6
O c. Ax) = x - 6 and G(x) = (x + 1)3
D. Ax) = x3 - 6 and G(x) = x + 1
Answer:
A
Step-by-step explanation:
check the above attachment to verify the answer.
x ^ 4 + 5x - 3 even or odd
Answer:
See below.
Step-by-step explanation:
x^4+5x-3
The expression is odd. x^4 is also equal to 1x^4. 5 is odd, and 3 is odd.
-hope it helps
Answer:
The following function is f(x) = -9x 4 + 5x+3 is neither even nor odd.
Step-by-step explanation:
Because a function is said to be even if f (-x) = f (x). Then a function is said to be odd if f (-x) = -f (x). And there is your answer to those who need help with their math.
What's the missing number in the given problem?
6, 22, 14, 18, 16, ?
Let U = {(x, y, z) € R^3 | x + 2y – 3z =0}. a) (2pt) Show directly (by verifying the conditions for a subspace) that U is a subspace of R^3. You may not invoke results learned in class or from the notes. b) (2pts) Find a basis for U. You must explain your method. c) (1pt) Using your answer from part b) determine Dim(U).
a) U is subspace of R^3.
b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.
c) 2.
a) To show that U is a subspace of R^3, we need to verify the following three conditions:
i) The zero vector (0, 0, 0) is in U.
ii) U is closed under addition.
iii) U is closed under scalar multiplication.
i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.
ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:
x1 + 2y1 - 3z1 = 0 (by definition of U)
x2 + 2y2 - 3z2 = 0 (by definition of U)
Adding these two equations, we get:
(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0
which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.
iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:
x + 2y - 3z = 0 (by definition of U)
Multiplying both sides of this equation by c, we get:
cx + 2cy - 3cz = 0
which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.
Since U satisfies all three conditions, it is a subspace of R^3.
b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:
x = 3z - 2y
y = (x - 3z)/2
Substituting z = t into these equations, we get:
x = 3t - 2y
y = (x - 3t)/2
Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:
(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)
Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.
c) Since the basis for U has two elements, the dimension of U is 2.
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14.36 subtracted by 15.12 ?
Answer:
-0.76
Step-by-step explanation:
Answer:
-0.76
Step-by-step explanation:
this is pretty simple subtraction but you just take 14.36 and subtract it by 15.12 and you know it will be a negative number because 15.12 is bigger than 14.36 and so your answer is -0.76
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 66 Pennies 2929 Dimes 1717 Nickels 2727 Quarters Copy Data What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, a dime
The required probability is 493/2773.
Given that the jar contains:
66 Pennies
29 Dimes
17 Nickels
27 Quarters
So, the total number of coins is:
Total coins = 66+29+17+27 = 139
Now, the probability that you randomly grab a nickel would be:
P(Nickel) = Number of Nickels in jar / Total Number of Coins= 17/139
Now, if you have grabbed a nickel without replacement, then the probability of randomly grabbing a dime would be:
P(Dime) = Number of Dimes in jar / Total Number of Coins= 29/138 (because one nickel is already taken out)
Thus, the probability of randomly grabbing a nickel and then, without replacement, a dime would be:
P(Nickel and Dime) = P(Nickel) × P(Dime)= 17/139 × 29/138= 493/2773
Hence, the required probability is 493/2773.
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Drag and drop the numbers into the boxes to create an expression that is equivalent to the given expression.
5(c+6)
5
6
30
36
—c+—
PLSSSSS HELP ASAP WITH MARK BRAIN LIST
Answer:
5c + 30 is correct, i hoped this helped
Change 50/7 to mixed number: *
Answer:
7 1/7
Step-by-step explanation:
7x7=49
50-49=1
7 1/7
Answer:
7 1/7
Step-by-step explanation:
Its was a improper fraction
Let f:R−{n}→R be a function defined by f(x)= x−n
x−m
R, where m
=n. Then____
The domain of the function is R - {m} and the range of the function is (-∞, ∞).
We are given a function f: R−{n}→R defined by f(x) = (x-n)/(x-m), where m ≠ n.
To find the domain of the function, we need to consider the values of x for which the denominator (x-m) is zero. Since m ≠ n, we have m - n ≠ 0, and therefore the function is defined for all x except x = m.
Therefore, the domain of the function is R - {m}.
To find the range of the function, we can consider the behavior of the function as x approaches infinity and negative infinity. As x approaches infinity, the numerator (x-n) grows without bound, while the denominator (x-m) also grows without bound, but at a slower rate. Therefore, the function approaches positive infinity.
Similarly, as x approaches negative infinity, the numerator (x-n) becomes very negative, while the denominator (x-m) also becomes very negative, but at a slower rate. Therefore, the function approaches negative infinity.
Thus, we can conclude that the range of the function is (-∞, ∞).
In summary, the domain of the function is R - {m} and the range of the function is (-∞, ∞).
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A zoo had 2000 visitors on Tuesday. On Wednesday, the head count was increased by 10%.
How many visitors were in the zoo by the end of Wednesday?
There were 2200 visitors in the zoo by the end of Wednesday.
Step 1: Start with the given information that there were 2000 visitors in the zoo on Tuesday.
Step 2: Calculate the increase in visitor count on Wednesday by finding 10% of the Tuesday's count.
10% of 2000 = (10/100) * 2000 = 200
Step 3: Add the increase to the Tuesday count to find the total number of visitors by the end of Wednesday.
2000 + 200 = 2200
Therefore, by the end of Wednesday, there were 2200 visitors in the zoo.
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A cell phone is on sale at $35
more than half of the regular
price. The sale price is $140.
Determine the regular price of the
cell phone.
Answer: v=210
Step-by-step explanation:
find the measure of side (a)
round to the nearest whole number
a=?
Answer:
14m
Step-by-step explanation:
sin(28)=\(\frac{a}{30}\)
\(a=sin(28)*30\)
a=\(14.08....\)=14
!!CAN SOMEONE CHECK IF IM CORRECT PLEASEEE!!
The amount that the Jones family would pay in the 18th month would be $1,233.45
How to find the amount ?Prior to determining the required payment for the 18th month, it is paramount to calculate the collective minimum payments by the Jones family during the course of seventeen months.
First, find the amount that had been paid in total by the Jones in 17 months to be :
= Monthly payment x minimum monthly payment
= 17 x 25
= $ 425
The balance after 17 months is :
= $ 1 , 658. 45 - $ 425
= $ 1, 233. 45
The remaining balance of $ 1, 233. 45 would have to be paid in the 18th month.
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An event is successful 1 out of every 5 attempts. what is the probability of the complement of that event?0.15cannot be determined0.800.20
The probability of the complement of the event is 0.8 or 80%.
Suppose we have an event that is successful in 1 out of every 5 attempts. This means that the probability of the event occurring is 1/5 or 0.2. We can represent this probability as P(A) = 0.2, where A is the event of being successful.
Now, the complement of an event is the probability of the event not occurring. In this case, the complement of A is the probability of not being successful. We can represent this probability as P(A').
To find the probability of the complement of an event, we use the formula:
P(A') = 1 - P(A)
where P(A') is the probability of the complement of A, and P(A) is the probability of A.
Using the values given, we have:
P(A) = 0.2
P(A') = 1 - 0.2
P(A') = 0.8 or 80%
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could someone tell me what is 788x99 and how do i find the ansewer
The value of the expression 788 * 99 is 78012
How to evaluate the expression?The expression is given as:
788 * 99
Express 788 as 700 + 88
So, we have
788 * 99 = (700 + 88) * 99
Evaluate the products
788 * 99 = 69300 + 8712
Evaluate the sum
788 * 99 = 78012
Hence, the value of the expression 788 * 99 is 78012
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Answer:
78012
Step-by-step explanation:
You want the product 788×99.
CalculatorThe easiest way to find the product is to use a calculator. It tells you the product is 78012.
Standard algorithmThe standard algorithm has you multiply each digit of one number by the digits of the other number and add the partial products. Usually the product by a single digit is written on one line, with the addition of carries accomplished mentally. Attention must be paid to place value. It is usually easier to put the shorter number at the bottom.
\(\begin{array}{ccccc}&&7&8&8\\\times&&&9&9\\\cline{1-5}&7&0&9&2\\7&0&9&2\\\cline{1-5}7&8&0&1&2\end{array}\)
Distributive propertyShortcuts can often be found in multiplication by taking advantage of the properties of numbers. Here, we notice that 99 = 100 -1. Multiplication by 100 and by -1 are much simpler than multiplication by 99, so we can write ...
788 × 99 = 788 × (100 -1) = 78800 -788
= 78012
You can go another level to make this the product ...
788 × 99 = (800 -12) × (100 -1) = 80000 -1200 -800 +12 = 78012
Calculate the rate of change for each given function.
Answer:
For function B the rise/run or the rate of change is 3/5 and for the chart would be 2
Step-by-step explanation:
Explain because its change in y/ change in x so up 3 over 5 would give 3/5 and for the chart is 2 because its change in y over change in x and since y is 4 and x is 2 4/2=2. hope this helps
f(x)=x^3+2x^2-6x+9
when f(x) is divided by x+a, the remainder is R, when divided by x-a, the reminder is 2R
a) show that 3a^3-2a^2-18a-9=0
b) solve the expression completely
Answer:
Step-by-step explanation:
Here are the number of hours that 9 students spend on the computer on a typical day: 2 4 4 4 5 7 7 10 12 What is the mode number of hours spent on the computer
Answer:
the mode number of hours is 4 because is the hour spent mostly on the computer
therefore the mode number of hours is 4 hours
Write an equation in slope intercept form for this graph shown in the picture?
Answer:
y = -4/1x + 3
Hope this helps!