Answer:
y = -3√(x -1) +2
Step-by-step explanation:
You want the equation of the given square root function with its vertex at (1, 2) and point (2, -1) on the graph.
Square root functionThe parent square root function has its vertex at (0, 0). It extends upward from that vertex, and goes through the point (1, 1).
Transformed functionThe function shown in the graph has its vertex at (1, 2), so has been translated 1 unit to the right and 2 units upward. The function extends downward from the vertex, so has been reflected vertically.
We know a function translated h units right and k units up becomes ...
g(x) = f(x -h) +k
When it is reflected across the x-axis, it also has a multiplier (-a):
g(x) = -a·f(x -h) +k
Scale factorWe can find the value of 'a' by using the given point in the translated function.
g(x) = -a·√(x -1) +2
-1 = -a√(2 -1) +2
-3 = -a√1 = -a
The value of 'a' is 3.
The graph is described by the function ...
y = -3√(x -1) +2
A ________ is the ratio of probabilities that two genes are linked to the probability that they are not linked, expressed as a log10.
LOD score
A LOD score is the ratio of probabilities that two genes are linked to the probability that they are not linked, expressed as a log10. This measure is commonly used in linkage analysis, a statistical method used to determine whether genes are located on the same chromosome and thus tend to be inherited together.
In linkage analysis, the LOD score is used to determine the likelihood that two genes are linked, based on the observation of familial inheritance patterns. A LOD score of 3 or higher is generally considered to be strong evidence for linkage, indicating that the likelihood of observing the observed inheritance pattern by chance is less than 1 in 1000.
The LOD score is also used to estimate the distance between two linked genes, with higher LOD scores indicating that the two genes are closer together on the chromosome. In general, the LOD score is a useful tool for identifying genetic loci that contribute to complex diseases or traits.
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O DATA ANALYSIS AND PROBABILITY
Range of a data set
Ann is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
74, 64, 90, 74, 92, 68, 71
Find the range of the data set.
a
X
5
The range of the data set is, 28
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The data set is,
74, 64, 90, 74, 92, 68, 71
Now, We know that;
Range of data set is calculating by subtracting the lowest value from highest value.
Hence, The range is,
⇒ Highest value - Lowest value
⇒ 92 - 64
⇒ 28
Thus, The value of range = 28
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Let p(n) be the number of primes less than n. What is p(50)
Answer:
There are 15 prime numbers less than 50
Step-by-step explanation:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53
Someone help pls. hurry
Answer:
slope = -1/4 intercept = 50
Step-by-step explanation:
Sally and anne went to the movies. They each purchased a drink. They also bought one popcorn and one veggie cup to share. Which expression can be used to find how much money each woman spent? one-half (9 + 1. 35 + 3. 50 + 1. 74) 9 + 1. 35 + one-half (3. 50 + 1. 74) 18 + 2. 70 + one-half (3. 50 + 1. 74) 9+1. 35+2(3. 50+1. 7).
Expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].
As given in the question,
Condition for the expression:
Sally and Anne both went for a movie.
Each one purchased a drink.
Shared one popcorn and one veggie bought by them.
Consider movie ticket price = 9
drink price = 1.35
Popcorn price = 3.50
Veggie price = 1.74
Explanation for different expressions are:
1. one-half (9 + 1. 35 + 3. 50 + 1. 74)
Here sum of all the amount is divided equally, which is not correct as movie ticket and drink they have purchased individually.
2. 9 + 1. 35 + one-half (3. 50 + 1. 74)
This is correct option as it represents :
Movie ticket price = 9
Drink = 1.35
one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.
3. 18 + 2. 70 + one-half (3. 50 + 1. 74)
As per consideration of price this is not correct option.
Movie ticket price =18
Drink = 2.70
one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.
4. 9+1. 35+2(3. 50+1. 7)
This is not correct option as popcorn and veggie price is doubled.
Therefore, expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].
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f(x) = 4x^2 - 7x + 7 find f(7)
Answer:
ummmm what grade do you are
Answer:
f(7)=140
Step-by-step explanations:
If 9(1-x) = 27Y and x-y=-11/2, find the value of x + y.
Answer:
-2.25
Step-by-step explanation:
9(1-x) = 27Y
9-9x =27y
-9x -27y = -9 multiply all terms by -1
9x +27y =9 equation (1)
x-y= -11/2 equation (2)
by solving 2 equations
x= -3.875
y= 1.625
∴ x+ y = 1.625 +(-3.875) = -2.25
PLZ HELP i will give brainliest <3
step by step have no idea but it's a
.
.
The mean for the data in the dot plot is 5. What is the
absolute deviation for the data point at 7?
2
2.
3
4
5
6 7
8
Answer:The mean for the data in the dot plot is 5. What is the
absolute deviation for the data point at 7?
2
Step-by-step explanation:
a latin square design is used to determine the order of treatments that will be used in a within-subjects experiment comparing five treatments labeled a, b, c, d, and e. how many groups of participants will receive treatment e as the first treatment?
There is only one group of participants will receive treatment e as the first treatment.
What is lain square design?
A block with a Latin square design has v Latin characters arranged in a
v x v array (a table with v rows and v columns). Latin square designs are
frequently employed in studies in which individuals are assigned to treatments over a predetermined time period, where it is assumed that time has a significant impact on the experimental response.
The Latin Square Design's name comes from the fact that the treatments can be represented by a square written in Latin letters. Latin letters in the Latin square shape represent the treatment factor levels. The number of treatment levels must match the number of rows and columns.
Hence, There is only one group of participants will receive treatment e as the first treatment.
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a thin wire is bent into the shape of a semicircle x2 y2 = 81, x ≥ 0. if the linear density is a constant k, find the mass and center of mass of the wire.
The mass of the wire is k r π, and the center of mass is located at (0, 4k/π).
We can parameterize the semicircle as follows:
x = r cos(t), y = r sin(t)
where r = 9 and 0 ≤ t ≤ π.
The arc length element ds is given by:
ds = sqrt(dx^2 + dy^2) = sqrt((-r sin(t))^2 + (r cos(t))^2) dt = r dt
The mass element dm is given by:
dm = k ds = k r dt
The mass of the wire is then given by the integral of dm over the semicircle:
M = ∫ dm = ∫ k r dt = k r ∫ dt from 0 to π = k r π
The center of mass (x,y) is given by:
x = (1/M) ∫ x dm, y = (1/M) ∫ y dm
We can evaluate these integrals using the parameterization:
x = (1/M) ∫ x dm = (1/M) ∫ r cos(t) k r dt = (k r^2/2M) ∫ cos(t) dt from 0 to π = 0
y = (1/M) ∫ y dm = (1/M) ∫ r sin(t) k r dt = (k r^2/2M) ∫ sin(t) dt from 0 to π = (2k r^2/πM) ∫ sin(t) dt from 0 to π/2 = (4k r/π)
Therefore, the mass of the wire is k r π, and the center of mass is located at (0, 4k/π).
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Terri wrote the system of linear inequalities.
-3x - 3y > -18
-X<-y
Select all of the ordered pairs that are part of the solution set for this system of linear inequalities.
(-1,5)
(2, 4)
(3, 3)
(4.6)
(5,2)
Answer:
Step-by-step explanation:
A,b,d
None of the ordered pairs is a solution to the system of linear inequalities.
The given system of inequalities is:
-3x - 3y > -18
-x<-y
From the inequality -3x - 3y > -18
-3(x + y) > -18
Multiply both sides by -1
3(x + y) < 18
Divide both sides by 3
x + y < 18/3
x + y < 6.......(*)
Also from the inequality -x < -y
Multiply both sides by -1
-1(-x) > -1(-y)
x > y...............(**)
Any ordered pair that is a solution to the system of linear inequalities must fulfil the inequalities in (*) and (**)
Since none of the ordered pairs given fulfill the conditions in (*) and (**), none of the given options is correct
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A company blends two gasolines from High-Quality Fuels and Junk Petroleum (inputs) into two commercial products, Super and Regular gasoline (outputs). For the inputs, the octane ratings, the lead content in grams per litre, and the amounts available in cubic metres (m 3
) and their prices are known. These are: For the Super and Regular gasolines the requirements are: We define the variables as follows: H and J are respectively the amount of gasoline in m 3
purchased from High-Quality Fuels/Junk Petroleum. S and R are respectively the amount of Super/Regular gasoline in m 3
blended and sold. HS, HR, JS, and JR are respectively the amounts in m 3
of High-Quality/Junk gasoline used to make Super/Regular gasoline. For this and each of the other four questions which follow, make sure that you answer parts (a), (b), and (c) as given at the bottom of the previous page.
Answer:
ok, here is your answer
Step-by-step explanation:
As the question and information provided do not have a specific part (a), (b), and (c) to be answered, I will provide a general approach to solving this problem.
Let's define the objective function and constraints of the given problem.
Objective function: To minimize the cost of producing Super and Regular gasoline
Cost = (price of High-Quality Fuel * amount purchased from High-Quality Fuel) + (price of Junk Petroleum * amount purchased from Junk Petroleum) + (cost of blending Super gasoline) + (cost of blending Regular gasoline)
Constraints:
- The total amount of Super gasoline produced should be less than or equal to the total amount of gasoline purchased
- The total amount of Regular gasoline produced should be less than or equal to the total amount of gasoline purchased
- The amount of High-Quality Fuel used to produce Super gasoline should be less than or equal to the total amount of High-Quality Fuel purchased
- The amount of Junk Petroleum used to produce Super gasoline should be less than or equal to the total amount of Junk Petroleum purchased
- The amount of High-Quality Fuel used to produce Regular gasoline should be less than or equal to the total amount of High-Quality Fuel purchased
- The amount of Junk Petroleum used to produce Regular gasoline should be less than or equal to the total amount of Junk Petroleum purchased
- The octane rating of Super gasoline should be greater than or equal to 96
- The octane rating of Regular gasoline should be greater than or equal to 87
- The lead content of Super gasoline should be less than or equal to 0.5 grams per litre
- The lead content of Regular gasoline should be less than or equal to 0.15 grams per litre
Now, we can set up the linear programming model for this problem and use software like Excel Solver or MATLAB to solve it and find the optimal values of the decision variables (H, J, S, R, HS, HR, JS, JR). The optimal solution will give us the minimum cost of producing Super and Regular gasoline while satisfying all the constraints.
mark me as brainliestWhat is a positive integer? what is a negative integer?.
a good way to get a small standard error is to use a ________.
Answer: A good way to get a small standard error is to use a large sample.
Step-by-step explanation:
In order to find the small standard error, there is always need of a complete set which is called the large sample.
If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.
Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!
-From a 5th Grade Honors Student
5 divided by 13 multiply by 52000
Answer:
5 divided by 13 multiply by 52000 is 20,000
In ΔJKL, m∠J = 83° and m∠L = 90°. Determine the measure of the exterior angle to ∠K. 7° 86.5° 97° 173°
Answer: 173
Step-by-step explanation:
just add the two angles together to get the exterior angle
The measure of the exterior angle k is derived to be 173°.
What is exterior angle theorem of a triangle?
The exterior angle theorem states that the size of an exterior angle of a triangle is equal to the two opposite interior angles added together.
The triangle JKL have two interior angles J = 83° and L=90° which are opposite the exterior angle at angle K.
Let the exterior angle of the angle K be x so that;
x = angle J + angle L
x = 83°+ 90°
x = 173°
Hence, from the exterior angle theorem of a triangle, we have been able to determine that the exterior angle to the given angle K is 173°
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Write an equation in slope intercept form passing through the point (-10,1) and parallel to the line 10x+5y=15.
An equation in slope intercept form passing through the point (-10,1) and parallel to the line 10x+5y=15 is y=-2x+19.
How to get the slope intercept form of a straight line equation?If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
y = mx +c
To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.
Given;
Line is passing through the point (-10,1)
Parallel to the line 10x+5y=15.
So, the slope of the line is equal to the line parallel to it
Slope of given line
5y=-10x+15
y=-10x/5+15
m=-2
Equation; 1=-2x+c
c=-2*-10-1
c=19
Therefore, the equation will be y=-2x+19.
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Find values of x, HJ, and JK.
Answer:
x = 2, HJ = JK = 11
Step-by-step explanation:
Given that H is the midpoint of JK , then
HJ = JK = 6x - 1 and
HJ + JK = JK , that is
6x - 1 + 6x - 1 = 3x + 16 ← simplify left side
12x - 2 = 3x + 16 ( subtract 3x from both sides )
9x - 2 = 16 ( add 2 to both sides )
9x = 18 ( divide both sides by 9 )
x = 2
Then
HJ = JK = 6x - 1 = 6(2) - 1 = 12 - 1 = 11
Neil has 3 partially full cans of white paint. They contian 1/3 gallon, 1/5 gallon and 1/2 gallon of paint. About how much paint does neil have
Answer:
1 1/30 gallon
Step-by-step explanation:
Can A = 1/3 gallon
Can B = 1/5 gallon
Can C = 1/2 gallon
Total paint Neil has = Can A + Can B + Can C
= 1/3 + 1/5 + 1/2
The lowest common multiple of 3, 5 and 2 is 30
= (10+6+15) / 30
= 31/30
= 1 1/30 gallon of paint
Neil has a total of 1 1/30 gallon of paint
evaluate the definite integral. ⁄2 csc(t) cot(t) dt ⁄4
The definite integral ∫π/4 to π/2 csc(t) cot(t) dt is undefined.
To see why, note that csc(t) = 1/sin(t), which is undefined at t = π/2. Therefore, the integrand is undefined at t = π/2, making the definite integral undefined as well.
Alternatively, we can use the fact that the integral of csc(t) from π/4 to π/2 is divergent (i.e., it does not converge to a finite value) to show that the integral of csc(t) cot(t) from π/4 to π/2 is also divergent.
To see this, we can use the identity csc(t) cot(t) = 1/sin(t) * cos(t)/sin(t) = cos(t)/sin^2(t). Then, using the substitution u = sin(t), du/dt = cos(t) dt, we can write the integral as:
∫π/4 to π/2 csc(t) cot(t) dt = ∫1/√2 to 1 cos(u)/u^2 du
Since the integral of cos(u)/u^2 from 1 to infinity is divergent, the integral of cos(u)/u^2 from 1/√2 to 1 is also divergent. Therefore, the definite integral ∫π/4 to π/2 csc(t) cot(t) dt is undefined.
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Question 291 ptHow many real solutions does the quadratic equation below have?y = 2? + 5x + 100 1 real solutionNo real solutions2 real solutionsInfinite number of real solutionsNexDrevious
The quadratic equation is:
\(y=2x^2+5x+10\)To find if the number of solutions, we use the discriminant of the equation. But first, we compare the given equation with the general quadratic equation:
\(y=ax^2+bx+c\)By comparison, we find the values of a, b, and c:
\(\begin{gathered} a=2 \\ b=5 \\ c=10 \end{gathered}\)Now, as we said previously, we have to use the discriminant to find the number of solutions. The discriminant is defined as follows:
\(D=b^2-4ac\)• If the value of D results to be equal to 0, there will be 1 real solution.
• If the value of D results to be greater than 0, there will be 2 real solutions.
• And if the value of D results to be less than 0, there will be no real solutions.
We substitute a, b and c into the discriminant formula:
\(D=5^2-4(2)(10)\)Solving the operations:
\(\begin{gathered} D=25-4(2)(10) \\ D=25-80 \\ D=-55 \end{gathered}\)As we can see, the value of D is less than 0 (D<0) which indicates that there will be no real solutions for this quadratic equation.
Answer: No real solutions
on a winter day, a town experienced a high of 25 degrees f. The following night, the temperature dropped to "-3" degrees f. What is the difference in temperature?
Question 3 Let X1, X2,..., Xn be independent random variables, each having a uniform distri- bution over (0,1). Let M = maximum (X₁, X₂,..., Xn). Show that the distribution function of M, FM(-), is given by FM(x)=x, 0≤x≤1 What is the probability density function of M?
The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.
The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.
In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.
For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).
The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).
To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.
The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.
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There are four candidates for homecoming queen and three for king. How many different king-queen combinatons are there
There will be 12 combination of different king-queen.
When grouping objects or figuring out how many subgroups can be created from a given collection of objects, combinations are employed. We also employ permutations to calculate the number of possible combinations of unrelated things.
To determine the number of different king-queen combinations, we need to multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king.
There are 4 candidates for queen and 3 candidates for king, so:
4 x 3 = 12
Therefore, the total number of different king-queen combinations is 4 multiplied by 3, which equals 12. So, there are 12 different king-queen combinations.
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Three lines intersect at a common point. In the figure below, m∠1=x°, m∠2=2x°, and m∠3=75°
Which equations can be used to determine the value of x? Select all that apply.
Answer:
I think that 2,4,5 are the correct answers . hope it helps .. :)
Answer:
B,D,E should be correctStep-by-step explanation:
what is 12x − y = 10 in slope form equation?
What is the simplified expression for negative 3 (2 x minus y) 2 y 2 (x y)? 8 x y y minus 4 x 7 y minus 4 x negative 4 x minus y
The simplified expression for -3(2x - y)²y²(xy) is -12x²y³ + 6xy⁴.
When simplifying expressions, it is important to remember the order of operations, which is parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right). To simplify this expression, we first need to simplify the terms within the parentheses.
The expression within the parentheses is 2x - y, so we can square it to get (2x - y)², which is equal to 4x² - 4xy + y². We can then substitute this expression back into the original expression to get:
-3(4x² - 4xy + y²)y²(xy)
Simplifying the expression within the parentheses first we get,
-3(4x² - 4xy + y²)y²(xy) = -12x²y³ + 12xy⁴ - 3y⁵x
Next, we can simplify the term y²(xy) to get y³x, and then distribute the negative 3 throughout the expression to get:
-3(4x²y³ - 4xy⁴ + y³x)
This can be further simplified by distributing the negative 3 and combining like terms to get:
-12x²y³ + 6xy⁴
Therefore, the simplified expression for -3(2x - y)²y²(xy) is -12x²y³ + 6xy⁴.
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Evaluate 4 + (-2) - (-3) -6
Yuto has a bag containing 3 red marbles 5 blue marbles 2 green marbles and 8 yellow Marbles what is the total number of possible outcomes for misaki’s marble
Answer:
17
Step-by-step explanation:
Mission Information :
This question is incomplete this line is missing in the question " Rin reaches into the bag, pulls out a blue marble, and puts it in her pocket. Then Misaki reaches in and pulls out a marble. What is the total number of possible outcomes for Misaki’s marble"
Now coming to the solution ,
Given :
Red marbles=3
blue marbles=5
green marbles=2
yellow Marbles=8
Total number of outcomes can be determined by
=Red marbles + blue marbles + green marbles + yellow Marbles
\(= 3\ +\ 5+2 +8=18\)
As mention in the given question the Rin is pulling the 1 marble ,Now Total number of outcomes
\(=18-1\\=17\)
Therefore 17 is the correct answer
My Answer:
17 is the correct answer, so letter C.
Red marbles=3
blue marbles=5
green marbles=2
yellow Marbles=8