-5 is bigger than -9 because they are negative numbers so they go opposite ways on the number line so the concept of normal number backwards. hope this helps
pls help asap if you can!!!
The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent
How to determine the statementTo determine the correct statement, we need to know the properties of a parallelogram.
These properties includes;
Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.Learn more about parallelogram at: https://brainly.com/question/10744696
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qué número entero está entre -2 y 5
Answer:
1.5
Step-by-step explanation:
-2,-1,0,1,2,3,4,5
Le quitamos un número hasta llegar al medio. En el medio hay dos números, el 1 y el 2. Pues tenemos que buscar el promedio de los dos (1+2=3 y 3÷2=1.5).
Nadia is standing 60 ft from a tower. the angle of elevation from where she is standing on the ground to the top of the tower is 30°. how tall is the tower? round the final answer to the nearest tenth. enter your answer in the box.
Answer:
34.6 ft
Step-by-step explanation:
tan A = y/x
tan 30° = y/60
y = 60 tan 30°
y = 34.6
Answer: 34.6 ft
Someone help me with this
The coordinates of the vertices of quadrilateral ABCD are A (8, -3), B(-2, 1), C (-4,-4), and D(6, -8).
Jorge states that quadrilateral ABCD is a parallelogram. Prove or Disprove Jorge's statement.
Yes, quadrilateral ABCD is a parallelogram.
What are the properties of parallelogram?
A parallelogram is a particular sort of polygon. It is a quadrilateral in which the opposite side pairs are parallel to one another.
Properties:
1. Opposite sides are congruent.
2. Opposite angels are congruent.
3. Consecutive angles are supplementary.
4. If one angle is right, then all angles are right.
5. The diagonals of a parallelogram bisect each other.
6. Each diagonal of a parallelogram separates it into two congruent
It is given that the coordinates of the vertices of quadrilateral ABCD are A (8, -3), B(-2, 1), C (-4,-4), and D(6, -8).
According to distance formula,
If A(a,b) and B(x,y) are two coordinates then
AB = \(\sqrt{(x-a)^{2}+(y-b)^{2}}\)
Now, using this distance formula in quadrilateral ABCD
AB = \(\sqrt{(-2-8)^{2}+(1+3)^{2}}= \sqrt{(-10)^{2}+(4)^{2}}=\sqrt{100+16}=\sqrt{116}\)
CD = \(\sqrt{(6+4)^{2}+(-8+4)^{2}}=\sqrt{10^2+(-4)^2}=\sqrt{100+16}=\sqrt{116}\)
Now, If we have two coordinates A(a,b) and B(x,y) then
Slope of AB = \(\frac{y-b}{x-a}\)
Using this formula , finding slope of AB and CD of quadrilateral ABCD we get ,
Slope of AB = \(\frac{1+3}{-2-8}=\frac{4}{-10}=\frac{2}{-5}\)
Slope of CD = \(\frac{-8+4}{6+4}=\frac{-4}{10}=\frac{-2}{5}\)
As slope of both AB and CD is equal therefore, we can say that AB and CD are parallel.
As AB = CD and AB is parallel to Cd Therefore, ABCD is a parallelogram as opposite sides of parallelogram are equal and parallel.
Hence, quadrilateral ABCD is a parallelogram.
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5/9 (d - 12) = 10 A linear equation is shown above. Which of the following values of d is a solution to the equation?
For the given equation, the value of d = 30
How to solve an equation?To solve linear equations, utilize the steps that are provided below. Remove parenthesis from either side of the equation and combine similar phrases to make it simpler. To separate the variable term on one side of the equation, use addition or subtraction. To find the variable, use division or multiplication.
Divide both sides of the equation by the coefficient of variable: d-12 = 10÷ 5/9
Divide a fraction by multiplying its reciprocal: d 9 -12=10 x 9/5
Write as a single fraction: d-12 = (10 x 9) / 5
Calculate the product or quotient: d-12= 90 / 5
Reduce fraction to the lowest term by canceling the greatest common factor: d-12 = 18
Rearrange unknown terms to the left side of the equation: d=18+12
Calculate the sum or difference: d=30
Answer: d=30
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Consider a continuous-time Markov chain with three states 1, 2, 3, 4, 5 and transition rates q12=1, q13 = 2, q21 = 0, q23 = 3, q31 = 0, q32 = 0. (1) Write the system of ODEs for the corresponding transition probabilities Pᵢⱼ (t) . (2) Suppose that the initial state is 1. What is the probability that after the first transition, the process X(t) enters state 2?
the probability of transitioning from state 1 to state 2 after the first transition is:
P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3
To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.
Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.
The ODEs for the transition probabilities can be written as follows:
dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)
dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)
dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)
dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)
dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)
dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)
where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.
Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.
To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.
The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:
total_rate = q₁₂ + q₁₃
Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:
P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate
In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.
Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:
P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3
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Evaluate: (16/81)1/2
Answer:
Decimal0.395062
Step-by-step explanation:
16
(18)(1)
2
32/81
Answer:
The value of (16/81)^1/2 is 4/9.
Step-by-step explanation:
What is the expression?
An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
= the square root of 16/81
=4/9.
The value of (16/81)^1/2 is 4/9.
The probability that a randomly selected statistics textbook will weigh at most x lbs, the number you computed above and the weight of one textbook, is 0.80. Compute and interpret the z-score associated with this probability.
Answer:
0.842
Step-by-step explanation:
Give that:
Probability that statistics book will weigh at most x lbs ; this can be expressed as ;
P(x ≤ x)
Hence,
P(Z ≤ x) = 0.8
Hence, the Z score associated with a probability of P(Z ≤ x) = 0.8 can be obtained using a Z probability calculator :
Hence, Zscore = 0.842
Hence, the standardized score the weight is 0.842
use the diagram below to solve for x
Answer:
see the attachment!
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When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is ________ .a. urinaryb. bladderc. fissured. supravesical
The correct option of the given question is option (c) fissure.
When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is c. fissure.
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The main term to reference in the index when coding the phrase "supravesical fissure of urinary bladder" is c. fissure.
In medical coding, the index is typically organized alphabetically based on the main terms or significant words within medical terminology. In this case, "fissure" is the main term that represents the specific condition or anatomical feature being coded.
The other terms, such as "urinary," "bladder," and "supravesical," provide additional context but are not the primary focus when searching for the appropriate code in the index.
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During the summer, Tyler delivers packages and Miranda cares for animals on a farm. To show their earnings, Tyler makes a graph and Miranda makes a table. Which statement is true?
Answer:
When Miranda works 5 hours instead of 4, her pay goes up by
$56.00 - 44.80 = $11.20
That is, Miranda is paid $11.20 for each hour she works.
The slope of Tyler's graph indicates he is paid $9.00 for each hour he works. Miranda's pay per hour is $11.20 - 9.00 = $2.20 more than Tyler's.
Miranda earns $2.20 more per hour than Tyler
If x=5 what is the perimeter of the rectangle whose length is 6x-4 and 3x+2
How to find the answer
s= 7; 6s²
Answer:
294
Step-by-step explanation:
We will take our equation, and substitute in 7 for s, wherever we see it, so we have:
\(6 * 7^{2}\)
Simplifying, we have:
\(6 * 49\)
Which finally we multiply to:
6 * 49 = 294
So, your answer is 294.
Hope this helped!
Anyone help please....
Answer:
a)
(x,y)
(-3,-6.5),(-2,1)(-1,2.5),(0,1),(1,-0.5),(2,1)
b) C
Step-by-step explanation:
The Tiny family is purchasing a coat for $ 1.3 x10-5 a pair of boots for $ 2.1 x 10-5 and a pair of gloves for $ 7.6 x 10-6. The Tiny family paid with $5.0 x 10-4
What is the Total:______________________________________________________
How much change :
___________________________
The total cost for the items which the Tiny family purchased is $41.6 × 10⁻⁶ while their change is equal to $45.84 × 10⁻⁵.
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
In order to determine the total cost, we would add all of the costs incurred by Tiny family as follows:
Total cost = 1.3 × 10⁻⁵ + 2.1 × 10⁻⁵ + 7.6 × 10⁻⁶
Total cost = (1.3 + 2.1) × 10⁻⁵ + 7.6 × 10⁻⁶
Total cost = 3.4 × 10⁻⁵ + 7.6 × 10⁻⁶
Total cost = $41.6 × 10⁻⁶
Next, we would calculate the change as follows:
Change = Amount paid - Total cost
Change = $5.0 x 10⁻⁴ - $41.6 × 10⁻⁶
Change = $45.84 × 10⁻⁵
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.2. Determine whether the feasible set for each of the following systems of constraints is convex, and if not, indicate points x^1 and x² that violate definition. a) (x1)² + (x2)² > 9
x1 + x2 ,10
x1, x2 > 0
The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.
a) (x1)² + (x2)² > 9
This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.
b) x1 + x2 ≤ 10
This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.
c) x1, x2 > 0
This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.
Now, let's analyze the intersection of these constraints:
Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).
To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.
If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).
Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
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Can you use a proportion to solve for a missing side length when given two similar triangles?
Answer:
yes you can.
Step-by-step explanation:
to answer the question asked you can solve a proportion when given two triangles, but in this one I feel somethings missing like its possibly a multiple choice.
I tried every way I could think of and got this 6.5 for the bottom A-B
and for x about 4.153311-
You are given two functions, f: RR, f (x) = 3x and g:R+R, 9(r) = x+1 a. Find and record the function created by the composition of f and g, denoted gof. b. Prove that your recorded function of step (a.) is both one-to-one and onto. That is prove, gof:R R; (gof)(x) = g(f (r)). is well-defined where indicates go f is a bijection. For full credit you must explicitly prove that go f is both one-to-one and onto, using the definitions of one-to-one and onto in your proof. Do not appeal to theorems. You must give your proof line-by-line, with each line a statement with its justification. You must show explicit, formal start and termination statements as shown in lecture examples. You can use the Canvas math editor or write your math statements in English. For example, the statement to be proved was written in the Canvas math editor. In English it would be: Prove that the composition of functions fand g is both one-to-one and onto.
a) The function gof is gof(x) = 3x + 3.
b) The function gof: RR is well-defined.
a. The value of function gof(x) = 3x + 3.
To find the composition gof, we substitute the expression for g into f:
gof(x) = f(g(x))
= f(x + 1)
= 3(x + 1)
= 3x + 3
b. To prove that gof is both one-to-one and onto, we need to show the following:
(i) One-to-one: For any two different inputs x1 and x2, if gof(x1) = gof(x2), then x1 = x2.
(ii) Onto: For every y in the range of gof, there exists an x such that gof(x) = y.
Proof of one-to-one:
Let x1 and x2 be two different inputs. Assume that gof(x1) = gof(x2).
Then, 3x1 + 3 = 3x2 + 3.
Subtracting 3 from both sides, we have 3x1 = 3x2.
Dividing both sides by 3, we obtain x1 = x2.
Therefore, gof is one-to-one.
Proof of onto:
Let y be any real number in the range of gof, which is the set of all real numbers.
We need to find an x such that gof(x) = y.
Consider the equation 3x + 3 = y.
Subtracting 3 from both sides, we have 3x = y - 3.
Dividing both sides by 3, we obtain x = (y - 3)/3.
Thus, for any y in the range of gof, we can find an x such that gof(x) = y.
Therefore, gof is onto.
Since gof is both one-to-one and onto, it is a bijection.
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1- Random response The question on the right appears on a survey. Why are people told to roll a dice? It makes the survey more fun to do If they have lied about being sick they will be more likely to answer truthfully It will bring them good luck if their boss finds out they've been lying % When 420 people are surveyed, 115 tick the yes box. Estimate the proportion of people who have lied to their boss about being sick. Round your answer to 1 d. p. [1] [5] OFFICIAL SURVEY Roll a dice. If the dice shows 6 tick the box marked yes. If the dice shows a different number, answer the question. Have you ever lied to your boss about being sick in order to get a day off work?
It takes Henry 8 hours longer to paint one room than it does Sally. If they work together Sally and Henry can paint one room in 3 hours. How long does it take Sally in hours, working alone, to paint one room?
It takes Sally 4 hours, working alone, to paint one room.
Let's use the variable "x" to represent the number of hours it takes Sally to paint one room. According to the problem, it takes Henry 8 hours longer, or "x + 8" hours, to paint one room.
When they work together, they can paint one room in 3 hours. This means that their combined rate of painting is 1/3 of a room per hour. We can use this information to set up an equation:
1/x + 1/(x+8) = 1/3
To solve for x, we first need to simplify the equation by finding a common denominator:
(3(x+8) + 3x) / x(x+8) = 1
(6x + 24) / x(x+8) = 1
6x + 24 = x^2 + 8x
0 = x^2 + 2x - 24
Using the quadratic formula, we get:
x = (-2 ± sqrt(2^2 - 4(1)(-24))) / (2(1))
x = (-2 ± sqrt(100)) / 2
We can ignore the negative solution since it doesn't make sense in the context of the problem:
x = (-2 + 10) / 2
x = 4
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evaluate the integral using integration by parts as a first step. ∫sin^−1(x)/4x^2 dx(Express numbers in exact form. Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.)
∫sin^−1(x)/4x^2 dx = -(sin^−1(x)/4x) + (1/4) arcsin(x) + C.
et u = sin^−1(x)/4 and dv = 1/x^2 dx. Then, du/dx = 1/(4√(1-x^2)) and v = -1/x.
Using integration by parts formula, we have:
∫sin^−1(x)/4x^2 dx = uv - ∫v du/dx dx
= -(sin^−1(x)/4x) + ∫1/(4x√(1-x^2)) dx
= -(sin^−1(x)/4x) + (1/4)∫(1-x^2)^(-1/2) d(1-x^2)
= -(sin^−1(x)/4x) + (1/4) arcsin(x) + C
Therefore, ∫sin^−1(x)/4x^2 dx = -(sin^−1(x)/4x) + (1/4) arcsin(x) + C.
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Using the graph, predict the y-value when the x-value is 13
A) 17
B) 18
C) 19
D) 20
9514 1404 393
Answer:
D) 20
Step-by-step explanation:
Each point marked on the graph is 3 units higher and 2 units to the right of the one before. The last dot is at x=9, so a dot at x=13 will be 2×2=4 units to the right. At the same rate of increase, it will be 2×3=6 units higher than 14.
The y-value is predicted to be 20 at x=13.
Select the correct answer from the drop-down menu.
Triangle ABC is shown with angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees.
In this triangle, the product of tan A and tan C is
.
In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.
The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.
We have to find the product of tan A and tan C.
In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.
So, we have, tan A = tan C
Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.
Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.
Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.
Answer: `(BC)^2/(AB)^2`.
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sketch the area represented by g(x). g(x) = x t2 dt 1
The area represented by g(x) is a triangular region with base 1 and height (7/3) x, where x is the variable along the horizontal axis. The resulting shape will be a right triangle with vertices at (0,0), (1,0), and (0, (7/3) x).
It seems like you are asking to sketch the area represented by the function g(x) given as the integral of x with respect to t from 1 to 2. However, there seems to be a typo in your question. I will assume that you meant g(x) = ∫[1 to x] t^2 dt. Please follow these steps to sketch the area represented by g(x):
1. Draw the function y = t^2 on the coordinate plane (x-axis: t, y-axis: t^2).
To sketch the area represented by g(x) = x t2 dt 1, we first need to evaluate the definite integral. Integrating x t2 with respect to t gives us (1/3) x t3 + C, where C is the constant of integration. Evaluating this expression from t=1 to t=2 gives us (1/3) x (2^3 - 1^3) = (7/3) x.
2. Choose an arbitrary x-value between 1 and 2 (e.g., x = 1.5).
3. Draw a vertical line from the x-axis to the curve of y = t^2 at x = 1.5. This line represents the upper limit of the integral.
4. Draw another horizontal axis from the x-axis to the curve of y = t^2 at x = 1. This line represents the lower limit of the integral.
5. The area enclosed by the curve y = t^2, the x-axis, and the vertical lines at x = 1 and x = 1.5 represents the area for the given value of x.
In conclusion, the area represented by g(x) = ∫[1 to x] t^2 dt can be sketched by plotting the curve y = t^2, choosing a specific x-value between 1 and 2, and then finding the enclosed area between the curve, x-axis, and the vertical lines at x = 1 and x = chosen x-value.
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Do you think you can determine the imaginary solutions by examining the graph? Explain your reasoning.
The answer to whether or not it is possible to determine imaginary solutions by examining the graph of p(x)=x^2+1 is no.
What is function?Function is a block of code that performs a specific task. It is a reusable code that can be called multiple times with different parameters. Functions are an important part of programming because they allow you to reuse code and make your code more organized and efficient. Functions also make it easier to debug code, as errors can be contained to a single function instead of spreading throughout the entire program.
The graph of this function does not contain any imaginary solutions, instead it is a parabola with its vertex at the origin and its axis of symmetry being the y-axis. This can be seen from the graph, as the graph is symmetrical about the y-axis and does not contain any points in the fourth quadrant, meaning that any solutions that would fall in this quadrant would be imaginary.
In addition, imaginary solutions cannot be determined from this graph, as the imaginary solutions would not be visible on the graph. Imaginary solutions are solutions that are not real, meaning they are not visible on the graph, as they do not exist in the real number system. This is because the graph only displays real number solutions, not imaginary ones.
Therefore, it is not possible to determine imaginary solutions by examining the graph of p(x)=x^2+1, as the graph only displays real number solutions, and imaginary solutions cannot be seen on the graph.
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The table below shows data for stuffed animals sold at a zoo gift shop. If the data were represented with a comparative dot plot, which animal would have more dots for month 2 than month 1
Answer:elephant
Step-by-step explanation:
23x18
Elephant would have more dots for month 2 than month 1. The Option C.
Which animal has more dots in month 2?Comparing the data for stuffed animals sold at a zoo gift shop in month 1 and month 2 using a comparative dot plot, it is evident that the elephant has a higher number of dots in month 2.
This indicates that more elephant stuffed animals were sold in the second month compared to the first month. The dot plot allows us to visualize the distribution of sales for each animal and easily identify the variations between the two months.
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The equation x³-3x+1 = 0 has roots α, β and γ.
Find a cubic equation with integer coefficients that has roots α², β² and γ² ?
Step-by-step explanation:
Given : x³ - 3x + 1 = 0 has roots α , β and γ
To Find : Cubic equation with roots α² , β² and γ²
Solution:x³ - 3x + 1 = 0 has roots α , β and γ
α + β + γ = 0 as no coefficient of x²
αβ + βγ + αγ = - 3
αβγ = - 1
α² + β² + γ² = (α + β + γ )² - 2(αβ + βγ + αγ)
= 0 - 2(-3)
= 6
α² β² + β² γ² + α² γ² = ?
αβ + βγ + αγ = - 3
Squaring both sides
=>α² β² + β² γ² + α² γ² + 2αβγ( α + β + γ ) = 9
=> α² β² + β² γ² + α² γ² + 0 = 0
=> α² β² + β² γ² + α² γ² = 9
α² β² γ² = (αβγ )² = 1
α² + β² + γ² = 6
α² β² + β² γ² + α² γ² = 9
α² β² γ² = 1
x³ - 6x² + 9x - 1 = 0
x³ - 6x² +9x - 1 = 0 is the required equation
its given α , β , γ are roots and α² , β² , γ² are roots of new
so just replace x with √x in x³ - 3x + 1 = 0
=> (√x)³ - 3√x + 1 = 0
=> x√x - 3√x = - 1
=> √x(x - 3) = - 1
Squaring both sides
=> x(x - 3)² = 1
=> x( x² - 6x + 9) = 1
=> x³ - 6x² + 9x - 1 = 0Can anyone solve this correctly?
Answer:
C. 113.04 ft²
Step-by-step explanation:
Area of a circle = π×radius²
Since diameter is 12, the radius is 6
π×(6)² = π×36 = 113.04
What type of correlation is shown by the graph?
Answer: Positive correlation
Step-by-step explanation:
As you go up and along the graph the values go up.
Both have to be increasing basically.