Answer:
x=-1 y=3
Step-by-step explanation:
so next the equation equal so
-8X+3y=17
+8x+9y=19
make it so that the first equation y can eliminate second equation y
sorry ghee too lazy to type working out
Find each measure.
m∠ JLK
The measure of the major arc JLK will be 206°. Then the correct option is B.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
The measure of the minor arc JK will be 154°.
Then the sum of the major arc and minor arc in a circle is 360°.
Then the major arc JLK will be given as,
JLK + JK = 360°
JLK + 154° = 360°
JLK = 206°
The measure of the major arc JLK will be 206°. Then the correct option is B.
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For the function f(x)=(x+3) (x+1)^n (x-2)^2, what is the multiplicity of the zero at x = 2?
Group of answer choices:
a.3
b.1
c.n
d.2
Answer:
D.2
Step-by-step explanation:
When graphed, the line touches x=2 twice.
What is the distance between (1,3) and (-2,4) on the coordinate plane, to the nearest tenth?
Answer: 3.2 would be the correct answer.
Step-by-step explanation:
Result
Distance: 3.1622776601684
Steps:
Distance (d) = √(-2 - 1)2 + (4 - 3)2
= √(-3)2 + (1)2
= √10
= 3.1622776601684
Slope and Angle:
ΔX = -2 – 1 = -3
ΔY = 4 – 3 = 1
Slope (m) =
ΔY
ΔX
=
1
-3
= -0.33333333333333
θ =
arctan( ΔY ) + 180°
ΔX
= 161.56505117708°
Equation of the line:
y = -0.33333333333333x + 3.3333333333333
or
y =
- 1 x
3
+ 10
3
When x=0, y = 3.3333333333333
When y=0, x = 10
X1 Y1
Point 1: (
1
3
)
X2 Y2
Point 2: (
-2
4
)
Calculate
Brenda is opening a savings account which compounds interest quarterly. Her banker gave her the following expression to find the amount that will be in the account, in dollars, after t years.
Which statement below best describes the coefficient, 3,700?
3700(1.05)^4t
A. the amount of the yearly earnings
B. the rate at which the account is increasing
C. the amount of the initial deposit
D. the number of times the account has compounded since it was opened
This statement best describes the coefficient, 3,700 is "the amount of the initial deposit". which is the correct answer would be option (C).
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
The exponential function is given in the question as:
3700(1.05)^4t
This expression is for the amount that will be in the account, in dollars, after t years.
As per the question,
The coefficient, 3,700 represents the amount of the initial deposit in the given exponential function
Thus, the correct answer would be an option (C).
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Give examples of matrices A for which the number of solutions to Ax = b is (a) 0 or 1, depending on b. (b) [infinity], regardless of b. (c) 0 or [infinity], depending on b. (d) 1, regardless of b.
(a) An example of a matrix A for which the number of solutions to Ax = b is 0 or 1, depending on b, is a 2x2 matrix with either a nonzero determinant or a zero determinant and a nonzero nullspace.
(b) An example of a matrix A for which the number of solutions to Ax = b is ∞, regardless of b, is a matrix with a zero determinant and a nonzero nullspace.
(c) An example of a matrix A for which the number of solutions to Ax = b is 0 or ∞, depending on b, is a 2x2 matrix with a zero determinant and a nonzero nullspace.
(d) An example of a matrix A for which the number of solutions to Ax = b is 1, regardless of b, is a matrix with a nonzero determinant and a nullspace of zero.
If the determinant of A is nonzero, then there is only one solution to Ax = b, regardless of b.
This type of matrix is known as a singular matrix. The nullspace of such a matrix is nonempty, and since any vector in the nullspace is a solution to Ax = b, there are infinitely many solutions.
If the right hand side of the equation b is orthogonal to the nullspace of A, then the equation Ax = b has no solutions. However, if b lies in the nullspace of A, then the equation Ax = b has infinitely many solutions.
A matrix A for which solutions to Ax = b is 1, regardless of b, is a matrix with a nonzero and a nullspace of zero. This type of matrix is known as a nonsingular matrix, and in this case there is only one solution to Ax = b, regardless of the value of b.
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given g(x)=3x+5 find g(-6)
Answer:
THE ANSWER IS -13
Step-by-step explanation:
YOU REPLACE THE -6 In THE given function as follows
g(x)=3x+5
g(-6)=3(-6)+5
g(-6)=-18+5
g(-6)=-13
the body mass of a man is xkg.thebody mass of his two children are five-sixth and four_fifths of their father5 x over 6 + 4 x over 5 5 x over 6 + 4 x over 5
56/120
Step-by-step explanation:
The body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.
Let the body mass of the man be x kg.
The first child's body mass is five-sixths of their father's body mass:
Body mass of the first child = (5/6) * x
= 5x/6 kg.
The second child's body mass is four-fifths of their father's body mass:
Body mass of the second child = (4/5) * x
= 4x/5 kg.
Therefore, the body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
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a company has salespeople. a board member at the company asks for a list of the top salespeople, ranked in order of effectiveness. how many such rankings are possible?
Let's assume that the company has n number of salespeople.
We know that when the company has n salespeople, then there are n ways to choose the best salesperson and there are (n-1) ways to choose the second-best salesperson, n-2 ways to choose the third-best salesperson, and so on.
Therefore, the total number of possible rankings is the product of all these individual choices. Therefore, the total number of possible rankings of salespeople is as follows:
$$
n(n-1)(n-2)....(2)(1) = n!
$$
Where n! denotes n factorial.
Therefore, the answer is n! or n factorial.
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one factor of x^3-x^2-x+1 is x-1 the other factor is
let f1 and f2 be functions from r to r such that f1(x) = 3 – 2x and f2(x) = x 1. what is the function f1+f2, f1 f2?
The function with f1(x) = 3 – 2x and f2(x) = x + 1 have the value of f1+f2 as 4 - x and f1 f2 as the -2x² + x + 3.
A function is an expression, rule, or law in mathematics that describes a connection between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical connections in the sciences.
Let f1 and f2 be functions
f1(x) = 3 – 2x
f2(x) = x + 1.
So (f1+f2) (x) = 3 - 2x + x + 1
= 4 - x
(f1+f2) = 4 - x
(f1 f2) (x) = (3-2x) (x+1)
= 3x + 3 - 2x² - 2x
= x - 2x² + 3
(f1 f2) = -2x² + x + 3
A function is a collection of statements that work together to complete a certain goal. R includes a vast variety of built-in functions, and users can write their own.
Because a function in R is an object, the R interpreter can transfer control to the function as well as parameters that may be required for the function to perform the actions
In turn, the function completes its duty and returns control to the interpreter, as well as any results that may be stored in other objects.
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when the consumption schedule lies below the 45-degree reference line, saving:
When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.
How to explain the informationThe consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.
In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.
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When the consumption schedule lies below the 45-degree reference line, saving what does it means?
An advertising company is purchasing a new industrial-sized color printer. The company has been approved for a $75,000 loan at two different
banks. The terms of each loan are:
Offer 1: 4.99% annual simple interest, with a total account balance of $91,529.38 after a 53-month term
Offer 2: 3.5% annual interest compounded monthly for a 62-month term
Assuming no payments are made, what is the difference in the account balances at the end of the loan terms. Round your answer to the nearest
penny.
O $1,624.49
$1,686.87
$1,894.02
O $2,207.67
The difference in the account balances at the end of the loan terms is given as follows:
$1,686.87.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.The parameters for the offer 2 are given as follows:
P = 75000, r = 0.035, n = 12, t = 62/12.
Hence the balance of the offer 2 is given as follows:
B = 75000 x (1 + 0.035/12)^(12 x 62/12)
B = $89,842.51.
The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:
91529.38 - 89842.51 = $1,686.87.
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4. This function represents the profits, P, that the circus will make per day from selling a certain number of tickets, x.
The circus sold 300 tickets on Monday, 407 tickets on Tuesday, and 90 tickets on Wednesday. How much profit did the circus make for the three days?
A. $1,559. 25
B. $1,734. 25
C. $1,891. 75
D. $2,689. 50
Please explain how you found your answer:
We get that the closest answer choice to our estimate is option B, $1,734.25. Therefore, B is the best answer.
Let's assume that the profit function is linear, which means that the profits rise or fall in proportion to the quantity of tickets sold at a constant rate. Using the data for two of the days, we can then determine the equation for the profit function:
We can get the slope of the line using the points (300, P1) and (407, P2), where P1 and P2 are the earnings for Monday and Tuesday, respectively.
slope equals (P2 - P1)/ (407 - 300)
The equation for the profit function can then be found by using the point-slope form of a linear equation:
Slope = P - P1 (x - 300)
where x is the total number of tickets sold and P is the profit from those tickets.
By entering x = 90 into this equation, we can determine the profit for Wednesday:
P=P1 plus slope (90 - 300)
The total profit may then be calculated by adding the profits from each of the three days:
Profit total = P1 + P2 + P
Afterwards, we may assess this expression using the provided answer options to determine which one is most similar to our estimate.
Our calculations show that option B ($1,734.25) is the choice that comes closest to our estimate. Hence, the optimum response is B.
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PLS HELP IM TIMED TY
Solve the equation. Enter your answer as an equation that shows the value of
the variable (like s= 2/3, or 4= w).
-7x-3=-31
The solution to the equation -7x - 3 = -31 is x = 4.
To solve the equation -7x - 3 = -31, we will isolate the variable x.
Step 1: Begin by moving the constant term to the other side of the equation.
-7x - 3 + 3 = -31 + 3
Simplifying, we get:
-7x = -28
Divide both sides of the equation by -7 to solve for x.
(-7x) / -7 = (-28) / -7
Simplifying, we have:
x = 4
Therefore, the solution to the equation -7x - 3 = -31 is x = 4.
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combine like terms 3x + 5y - x
A. 7xy
B. x + 5y
C. 2x + 5y
D. 2x - 5y
plz help me
please help, I will really appricaite it :)
Step-by-step explanation:
uploading the picture is an excellent way to make sure we get the original problem definition.
but I just answered this (even without the picture). so, you need it again ?
Please help me w this an explain how you got it!.
Answer:
Vertex → (2, 4)
Step-by-step explanation:
Quadratic equation has been given as,
y = -x² + 4x
We rewrite this equation in the form of a function as,
f(x) = - x² + 4x
By comparing this equation with the standard quadratic equation,
y = ax² + bx + c
a = -1 and b = 4
Vertex of the parabola represented by this equation is given by \([-\frac{b}{2a}, f(\frac{-b}{2a})]\)
x coordinate = \(-\frac{4}{2(-1)}\)
= 2
y-coordinate = f(2)
= - (2)² + 4(2)
= -4 + 8
= 4
Therefore, vertex of the given function is (2, 4)
24x + 32 − 2.1x = 20.9x + 30 + x + 2
Answer:
All real numbers are solutions. (Infintie Solutions any number)
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
24x+32−2.1x=20.9x+30+x+2
24x+32+−2.1x=20.9x+30+x+2
(24x+−2.1x)+(32)=(20.9x+x)+(30+2)(Combine Like Terms)
21.9x+32=21.9x+32
21.9x+32=21.9x+32
Step 2: Subtract 21.9x from both sides.
21.9x+32−21.9x=21.9x+32−21.9x
32=32
Step 3: Subtract 32 from both sides.
32−32=32−32
0=0
Answer:
All "real"numbers are solutions, infintiely many solutions
please help need brainliest
Kip bought one and four sixths pounds of toffee. He gave five sixths of a pound to his friend. How much toffee does Kip have left?
(A )five sixths pound
(B )four sixths pound
(C )two and three sixths pounds
(D )one and one sixth pounds
Answer:
d
Step-by-step explanation:
find the counterclockwise circulation and outward flux of the field f=4xyi 4y2j around and over the boundary of the region c enclosed by the curves y=x2 and y=x in the first quadrant.
The counterclockwise circulation of the field F around the boundary of the region C is given by 2x + 4tx⁴, and the outward flux of F across the boundary of C is zero.
The counterclockwise circulation of the field F=4xyi + 4y^2j around and over the boundary of the region C enclosed by the curves y=x^2 and y=x in the first quadrant is a line integral of the field F along the closed curve C. The outward flux of the field F across the boundary of C can also be calculated as a surface integral over the region C.
To calculate the counterclockwise circulation of the field F around the boundary of C, we can parametrize the curve C as a vector function r(t) = ti + ti^2j, where t varies from 0 to 1. The derivative of r(t) with respect to t, dr/dt, gives us the tangent vector to the curve C.
dr/dt = i + 2tj
Next, we can calculate the dot product of the field F with dr/dt:
F · dr/dt = (4xyi + 4y^2j) · (i + 2tj)
= 4xt + 8ty^2
Substituting y = x^2 (since the curve C is y=x^2), we get:
F · dr/dt = 4xt + 8t(x^2)^2
= 4xt + 8tx⁴
To find the counterclockwise circulation, we integrate F · dr/dt with respect to t from 0 to 1:
∮ F · dr = ∫(0 to 1) (4xt + 8tx⁴) dt
= 4x(1/2)t² + 8tx^4(1/2)t² evaluated from 0 to 1
= 4x(1/2)(1)² + 8tx⁴(1/2)(1)² - 4x(1/2)(0)² - 8tx⁴(1/2)(0)²
= 2x + 4tx⁴
Next, to calculate the outward flux of F across the boundary of C, we can use Green's theorem, which relates the counterclockwise circulation of a field around a closed curve to the outward flux of the curl of the field across the enclosed region.
The curl of F is given by:
curl F = (∂Fy/∂x - ∂Fx/∂y)k
= (0 - 0)k
= 0
Since the curl of F is zero, the outward flux of F across the boundary of C is also zero. Therefore,
The counterclockwise circulation of the field F around the boundary of the region C is 2x + 4tx⁴, and the outward flux of F across the boundary of C is zero.
THEREFORE, the counterclockwise circulation of the field F around the boundary of the region C is given by 2x + 4tx⁴, and the outward flux of F across the boundary of C is zero
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The perimeter of a square field is 900 m. Find its area.
Answer:
Given perimeter=900m
So each side = 900/4
= 225
as area of square = side^2
=225^2
=50,625 meters
At the airport, ten people are waiting on standby. two seats become available, one first class and one coach. how many ways are there to fill the two seats?
At the airport, ten people are waiting on standby. two seats become available, one first-class and one coach, There are 90 ways to fill the two seats.
It is given that there are ten people waiting on standby.
Two seats are available, One is first class and another one is coach.
It is required to find how many ways are there to fill the two seats.
What is permutation?A permutation can be defined as the number of ways a set can be arranged.
We have ten people and two seats in which only two people can seat out of ten.
It is a problem based on the permutation concept.
So for the first seat, there are 10 ways to fill the first seat
and for the second seat, there are \((10-1)\) ways to fill the second seat.
If "P" is the number of ways we can assign the seats:
Then, P = 10×(10-1) = 10×9 = 90
Thus, there are 90 ways to fill the two seats.
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Answer:
D. 90
Step-by-step explanation:
Have a good day!
What is the least common denominator (lcd) of 1/2 2/3
Answer:
6
Step-by-step explanation:
Find the least common multiple (LCM) of the denominators in order to find the least common denominator (LCD).
PLEASE HELP I DON'T KNOW WHAT TO DO
Solve for f (n) and show your work.
The question asks whether repeating two simple arithmetic operations will eventually transform every positive integer into 1.
Yes, repeating two simple arithmetic operations will eventually transform every positive integer into 1.
Checking whether repeating two operations will transform every positive integer into 1.From the question, we have the following parameters that can be used in our computation:
f(n) = n/2 if n%2 = 0
f(n) = 3n + 1 if n%2 = 1
The above definition means that
f(n) = n/2 if n is even
f(n) = 3n + 1 if n is odd
To check if repeating operations would transform to 1, we can set n = 10
and then evaluate the function values
So, we have
f(10) = 10/2 = 5
f(5) = 3(5) + 1 = 16
f(16) = 16/2 = 8
f(8) = 8/2 = 4
f(4) = 4/2 = 2
f(2) = 2/2 = 1
See that the end result of the operations is 1
Hence, repeating two operations will transform every positive integer into 1
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.(a) Write the following complex numbers z1=−1+3i in: (i) Polar form. (ii) Exponential form.
(i) Polar form: z1 = 2(cos(60°) + isin(60°))
(ii) Exponential form: z1 = 2e^{60°i}
The polar form of a complex number z is written as z = r(cos(θ) + isin(θ)), where r is the magnitude of z and θ is the angle of z. The magnitude of a complex number is its distance from the origin in the complex plane, and the angle of a complex number is the angle between the positive real axis and the line segment connecting the origin to z.
In this case, the magnitude of z1 is 2, and the angle of z1 is 60°. Therefore, the polar form of z1 is z1 = 2(cos(60°) + isin(60°)).
The exponential form of a complex number z is written as z = re^{iθ}, where r is the magnitude of z and θ is the angle of z. The exponential form of a complex number is simply the polar form of the complex number written in Euler form.
In this case, the exponential form of z1 is z1 = 2e^{60°i}.
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what is the name for a data value that is far above or below the rest?
The name for a data value that is far above or below the rest is called an outlier.
An outlier is an observation that deviates significantly from other observations in a dataset. It is an extreme value that lies outside the typical range of values and may have a disproportionate impact on statistical analyses and calculations. Outliers can occur due to various reasons, including measurement errors, data entry mistakes, or genuine rare events. Identifying and handling outliers appropriately is important in data analysis to ensure accurate and reliable results.
When dealing with outliers, it is important to assess whether they are the result of errors or genuine extreme values. Statistical techniques, such as box plots, scatter plots, or z-scores, can be used to detect outliers. Once identified, the appropriate action depends on the nature and cause of the outliers. In some cases, outliers may need to be corrected or removed from the dataset, while in other cases, they may provide valuable insights or require further investigation.
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Sandra walks 1.6 miles to her friend’s house. At her usual rate, it takes her 18 minutes. Sandra decides to walk 3.1 miles to the park. How long should she expect the walk to take? Round to the nearest minute.
PLEASE HELP ME ASAP!!
Sandra should expect the walk to the park to take about 35 minutes.
We can use the formula:
time = distance / rate
where "distance" is the distance Sandra will walk and "rate" is her walking rate in miles per minute.
First, we need to find her rate. We know that she walks 1.6 miles in 18 minutes:
rate = distance / time
rate = 1.6 miles / 18 minutes
rate = 0.0889 miles/minute
Now we can use this rate to find out how long it will take her to walk 3.1 miles:
time = distance / rate
time = 3.1 miles / 0.0889 miles/minute
time = 34.9159 minutes
Rounding this to the nearest minute, we get:
time ≈ 35 minutes
Therefore, Sandra should expect the walk to the park to take about 35 minutes.
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What is the value of X in the equation3/2{4x-1}-3x=5/4-{x+2}?
Answer:
x = 3/16
Step-by-step explanation:
Answer: x = 3/4 or X = - 1/8
Step-by-step explanation:
what is the slope of a line containing points (2,-1) (3,5)
Answer:
slope(m)=6
Step-by-step explanation:
(2 , -1)=(x1 , y1)
(3 , 5)=(x2 , y2)
use formula : y2 - y1/x2 - x1
=5-(-1)/3-2
=5+1/1
=6/1
=6
therefore slope of a line is 6.
question 10 a data analyst uses the bias() function to compare the actual outcome with the predicted outcome to determine if the model is biased. they get a score of 0.8. what does this mean?
If a data analyst uses the bias() function to compare the actual outcome with the predicted outcome to determine if the model is biased and gets a score of 0.8, this simply means that: 2. The model is biased.
What is sampling bias?In Mathematics, a sampling bias can be defined as a type of bias in which members of an intended population are selected in such a way that some members have a higher or lower sampling probability (chances) than the other members.
This ultimately implies that, a sampling bias would occur when members of an intended population are selected incorrectly, which eventually results in a sample that is not representative of the entire population.
In conclusion, a bias() function with an outcome score of 0.8 in R programming indicates that a model is biased because the closer a score is to zero, the lower are its chances of being biased.
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Complete Question:
A data analyst uses the bias() function to compare the actual outcome with the predicted outcome to determine if the model is biased. They get a score of 0.8. What does this mean?
1. Bias cannot be determined
2. The model is biased
3. Bias can be determined
4. The model is not biased