yoo i got a paper due tmrw if anyone could answer this that’d be bomb thank u
x/8- 3/4=5/8 , solve the equation for x
Suppose f(x) = - 3x² + 9x − 2. Compute the following:
A.) ƒ( − 2) + f(1) =
B.) ƒ( − 2) – ƒ(1) =
Step-by-step explanation:
\( f(x) = - 3 {x}^{2} + 9x - 2\)
A) f(-2) + f(1) = -32 + 4 = -28
B) f(-2) - f(1) = -32 - 4 = -36
In each of Problems 17 and 18, find the fundamental set of solutions specified by Theorem 3.2.5 for the given differential equation and initial point.
17.y′′+y′−2y=0,t0=0
The fundamental set of solutions for the given differential equation is {e^(-2t), e^t}.
To find the fundamental set of solutions for the differential equation y'' + y' - 2y = 0 with the initial point t₀ = 0, we can follow the steps outlined in Theorem 3.2.5.
Find the characteristic equation:
The characteristic equation is obtained by substituting y = e^(rt) into the differential equation, where r is a constant:
r² + r - 2 = 0
Solve the characteristic equation:
Factoring the equation, we have:
(r + 2)(r - 1) = 0
Setting each factor equal to zero and solving for r, we get:
r₁ = -2
r₂ = 1
Determine the fundamental set of solutions:
The fundamental set of solutions is given by:
y₁(t) = e^(r₁t)
y₂(t) = e^(r₂t)
Substituting the values of r₁ and r₂, we have:
y₁(t) = e^(-2t)
y₂(t) = e^t
Therefore, the fundamental set of solutions for the given differential equation is {e^(-2t), e^t}.
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An aquarium is on on sale for $59.50. If this represents a 15% discount from the original price, what is the original price to the nearest cent.
Answer:$68.43
Step-by-step explanation:
Answer the following questions Exercise 1: Let X
=(X 1
,X 2
,…,X n
) be a random sample with size n taken from population has the following distributions; a) Poisson (θ) b) f x
(x;θ)= Γ4
θ 4
x 3
e −θx
,x>0,θ>0. I. Find the maximum likelihood estimator (MLE) of the mean. II. Show that the MLE of the mean is an efficient estimator. III. Show that the MLE of the mean is a consistent estimator. IV. Obtain the asymptotic distribution of MLE. Exercise 2: Find the maximum likelihood estimator of the unknown parameter τ(θ) if X
=(X 1
,X 2
,…,X n
) is a random sample with size n taken from population has pdf : a. Negative Binomial (r,θ),r is known, and τ(θ)=e θ
. b. f X
(x;θ)=e −(x−θ)
,x≥θ, and τ(θ)=n−θ. Exercise 3: Let X
=(X 1
,X 2
,…,X n
) be a random sample with size n taken from population has pdf f X
(x;θ)=θ(1−x) θ−1
,0
1
. b. Obtain the asymptotic distribution of MLE.
MLE of the mean for a Poisson distribution is the sample mean.
What is the maximum likelihood estimator (MLE) of the mean for a Poisson distribution?The maximum likelihood estimator (MLE) of the mean for a Poisson distribution is simply the sample mean. For a random sample X = (X₁, X₂, ..., Xₙ) from a Poisson distribution with parameter θ, the MLE of the mean is given by:
\($\hat{\theta}_{\text{MLE}} = \frac{1}{n} \sum_{i=1}^{n} X_i$\)
To show that the MLE of the mean is an efficient estimator, we need to demonstrate that it achieves the Cramér-Rao lower bound (CRLB) for efficiency. For the Poisson distribution, the MLE of the mean is both unbiased and achieves the CRLB, which means it is an efficient estimator.
The MLE of the mean for the Poisson distribution is a consistent estimator. This means that as the sample size increases (n → ∞), the MLE converges in probability to the true population mean. The consistency of the MLE can be proven using the Law of Large Numbers.
The asymptotic distribution of the MLE can be approximated using the Central Limit Theorem. For a Poisson distribution, as the sample size increases, the MLE of the mean follows an asymptotic normal distribution with mean equal to the true population mean (θ) and variance equal to θ/n. In other words:
\($\hat{\theta}_{\text{MLE}} \sim \mathcal{N}(\theta, \frac{\theta}{n})$\)
For a random sample X = (X₁, X₂, ..., Xₙ) from a Negative Binomial distribution with known parameter r, the maximum likelihood estimator (MLE) of the unknown parameter τ(θ) can be found by maximizing the likelihood function. The MLE of τ(θ) is given by:
\($\hat{\tau}_{\text{MLE}} = e^{\hat{\theta}_{\text{MLE}}}$\)
For a random sample X = (X₁, X₂, ..., Xₙ) from a distribution with pdf fₓ(x; θ) = e^{-(x-θ)}, x ≥ θ, and τ(θ) = n - θ, the MLE of the unknown parameter τ(θ) can be obtained by maximizing the likelihood function. The MLE of τ(θ) is:
\($\hat{\tau}_{\text{MLE}} = \max(X₁, X₂, ..., Xₙ) + \theta$\)
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Find an equivalent ratio in simplest terms: 42:15
Answer:
14:5
Step-by-step explanation:
42:15
Ratios are just like fractions and to find an equivalent one we find a common factor
15 factors are 1 and 15 and 3 and 5
Since 3 and 5 is the only one that is not 1 we can use we can test by dividing 42 by 3
42/3=14
And then we just divide the 15 by 3 too to get
14:5
Hopes this helps please mark brainliest
The vertices of a triangle are J(-3,-5), K(-2,2), and L(1,-4). Draw the figure and its reflection in the x-axis
Answer:
Step-by-step explanation:
need help fast Select the correct answer.
Consider the function f(x) = 7x and the function g(x), which is given below.
G(X) = 1/3 x F(X) = 1/3 x 7^X
How will the graph of g(x) differ from the graph of f(x)?
A.
The graph of g(x) is the graph of f(x) vertically compressed by a factor of three.
B.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of three.
C.
The graph of g(x) is the graph of f(x) vertically compressed by a factor of 1/3.
D.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 1/3.
The correct statement regarding the transformation and the difference of functions f(x) and g(x) is given as follows:
A.
The graph of g(x) is the graph of f(x) vertically compressed by a factor of three.
How to describe the transformation?The parent function for this problem is given as follows:
f(x) = 7^x.
The transformed function for this problem is given as follows:
g(x) = f(x)/3 = (1/3) x 7^x.
The only transformation is a multiplication by the constant 1/3. As the constant has an absolute value less than 1, the graph of g(x) is a vertical compression of the graph of f(x) by a factor of 3.
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when solving a system of equations that includes one linear equation and one quadratic equation, how many solutions can be found?
A system of equations with one linear equation and one quadratic equation has "zero or one or two" solutions.
How to solve a system of equations that includes one linear equation and one quadratic equation?Consider a system of equations with one linear equation and one quadratic equation as
Case (1): y = x² + 4x + 2 ...(1)
and x + y = 2 ...(2)
By the substitution method:
from (2), y = 2 - x; Substituting in (1)
⇒ 2 - x = x² + 4x + 2
⇒ x² + 4x + 2 + x - 2 = 0
⇒ x² + 5x = 0
⇒ x(x + 5) = 0
∴ x = 0 and x = -5
If x = 0, then y = 2 - 0 = 2
If x = -5, then y = 2 + 5 = 7
So, the system has two solutions at (0, 2) and (-5, 7).
Case (2): y = x² + 4x + 2 ...(1)
and x - y = 2 ...(2)
By the substitution method:
from (2), y = x - 2; Substituting in (1)
⇒ x - 2 = x² + 4x + 2
⇒ x² + 4x + 2 + 2 - x = 0
⇒ x² + 3x + 4 = 0
we know that b² - 4ac will decide the nature of roots.
So, (3)² - 4(1)(4) = 9 - 16 = -7 < 0
Since the determinant is less than 0, the roots are imaginary. Hence the system has no solution. That means the line and the parabola do not meet.
Case (3): y = x² + 4x + 2 ...(1)
and y = x - 1/4 ...(2)
Substituting (2) in (1), we get
⇒ x - 1/4 = x² + 4x + 2
⇒ x² + 4x + 2 - x + 1/4 = 0
⇒ x² + 3x + 9/4 = 0
⇒ 4x² + 12x + 9 = 0
⇒ (2x + 3)² = 0
⇒ 2x + 3 = 0
∴ x = -3/2
If x = -3/2 then y = -3/4 - 1/4 = -7/4
So, the system has one solution at (-3/2, -7/4).
Therefore, the given type of system has "zero or one or two" solutions.
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. michael is a basketball player who typically makes 70% of his free
throws. which assignment of random digits represents him successfully
making a free throw attempt?
a. letting "00-70" represent a made shot and "71-99" represent a missed shot
b. letting "0,1,2,3,4,5,6" represent a made shot and "7,8,9" represent a missed shot
c. letting "1,2,3,4,5,6,7" represent a made shot and "8,9" represent a missed shot
d. letting "0,1,2,3,4,5,6,7" represent a made shot and "8,9" represent a missed shot
0-7 (70%) probability should represent a made shot and 8-9 (30%) should represent a missed shot.
d. Using the numbers "0,1,2,3,4,5,6,7" to indicate a hit and "8,9" to indicate a miss.
Since Michael has a 70% success rate, the probability that he will make the shot is 70%. The assignment of random digits should be such that 70% of the digits represent a made shot and 30% of the digits represent a missed shot. Therefore, the correct answer is d.
70% = 70/100 = 0.7
30% = 30/100 = 0.3
Therefore, 0-7 (70%) should represent a made shot and 8-9 (30%) should represent a missed shot.
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Find the perimeter. Help please !
Answer:
2t + 15
Step-by-step explanation:
you add the expressions
\(perimeter=(t+5)+(t)+(10)=2t+15\)
I hope this help you
multiple choice, brainliest, and 100 points!!!
Answer:
(-10,4)
Step-by-step explanation:
Use the FIRST equation as a definition of 'x' to substitute into the second equation to get :
y + 3 ( y-14) = - 26 solve for 'y'
y + 3y - 42 = -26
4y = 16
y = 4 use this value of 'y' in either of the equations to calculate 'x'
x = y -14
x = 4 - 14 = -10
Is 5 x 3^{x} equal to 15x?
Here's your answer, folks:
Without substitution, yes, here? No.
The value of the substituted numbers is essential to finding the correct answer in algebra.
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
5 x 3 = 15
15 squared or cubed = 15 x 15 || 15 x 15 x 15
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
In that case, 15 times a number could not possibly be equal to 5 x 3 unless x was actually 1, which we do not know.
Answer:
NO
Step-by-step explanation:
5*3^x\(\neq\)15x
because 3 is raised to the x power not multiplied by it, so it is not equal
laura measured a picnic area near the river and made a scale drawing. the scale she used was 3 inches : 2 yards. if the picnic area is 90 inches wide in the drawing, how wide is the actual picnic area?
The acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards will be 60 yards.
Let the actual width of the picnic area be x yards.
According to the given question.
Laura measured a picnic area near the river and made a scale drawing.
The scale she used was 3 inches : 2 yards.
⇒ The scale is 3 inches : 2 yards
The width of the picnic area in the drawing is 90 inches.
As we know that, a proportion is a fraction of a total amount, and the measures are related using a rule of three.
Thereofore, the acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards is given by
3inches : 2 yards = 90inches : x
⇒ 3x = 180
⇒ x = 60yards
The acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards will be 60 yards.
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A triangle has two sides of lengths 6 and 9. What value could the length of
the third side be? Check all that apply.
OA. 7
B. 2
C. 4
OD. 15
□E. 10
O F. 12
SUBMIT
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that two sides have lengths 6 and 9, we can analyze the possibilities:
6 + 9 > x
x > 15 - The sum of the two known sides is greater than any possible third side.
6 + x > 9
x > 3 - The length of the unknown side must be greater than the difference between the two known sides.
9 + x > 6
x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.
Based on the analysis, the possible values for the length of the third side are:
A. 7
C. 4
□E. 10
O F. 12
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
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describe the structure of the coordinates associated with specific radian measurements on the unit circle
The structure of the coordinates associated with specific radian measurements on the unit circle follows a distinct pattern. The x and y coordinates represents the cosine and sine values of the angle, respectively.
The unit circle is a circle with a radius of 1 unit, centered at the origin of a Cartesian coordinate system.
It is commonly used in trigonometry to relate angles to the coordinates on the circle.
When we measure an angle in radians on the unit circle, we can associate specific coordinates with that angle.
The x-coordinate of a point on the unit circle represents the cosine value of the angle, while the y-coordinate represents the sine value of the angle.
These coordinates follow a pattern based on the radian measurement.
For example, when the angle is 0 radians (or 0 degrees), the corresponding point on the unit circle is (1, 0), where the x-coordinate is 1 (cosine of 0) and the y-coordinate is 0 (sine of 0).
As the angle increases, the coordinates change accordingly. For instance, when the angle is π/2 radians (or 90 degrees), the point on the unit circle is (0, 1), where the x-coordinate is 0 (cosine of π/2) and the y-coordinate is 1 (sine of π/2).
This pattern continues as the angle increases or decreases, and the coordinates on the unit circle change accordingly.
By using trigonometric functions, we can determine the cosine and sine values of any given angle and associate them with the appropriate coordinates on the unit circle.
In summary, the structure of the coordinates associated with specific radian measurements on the unit circle follows a pattern where the x-coordinate represents the cosine value of the angle, and the y-coordinate represents the sine value of the angle.
Together, these coordinates create points on the unit circle that correspond to the given radian measurement.
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Help ASAP!!! No links please!!! ^•^
These tables of values represent continuous functions. For which function will the y-values be the greatest for very values of x?!?!?!?!? ;) The answer selection is in pictures.
Answer:
If im understanding this correctly it should be C
Step-by-step explanation:
They said the wanted the x to be a number and then y to be the highest possible number it just means that whichever one has the biggest y section then thats it.
What is equivalent to 5 to the third power?
Answer:
125
Step-by-step explanation:
5 to the third power is 125
A bag contains 10 white, 12 blue, 13 red, 7 yellow, and 8 green wooded balls. A ball is selected from the bag, its color noted, then replaced. You then draw a second ball, note its color and then replace the ball. What is the probability of selecting 2 red balls
The probability of selecting 2 red balls is the product of the probability of selecting one red ball twice.
To find the probability of selecting 2 red balls, we need to calculate the probability of selecting one red ball on the first draw, and then multiply it by the probability of selecting another red ball on the second draw.
The probability of selecting a red ball on the first draw is 13 (number of red balls) divided by the total number of balls in the bag, which is 10 + 12 + 13 + 7 + 8 = 50.
Since the ball is replaced after each draw, the probability of selecting a red ball on the second draw is also 13/50.
To find the probability of both events occurring (selecting a red ball on the first and second draws), we multiply the probabilities:
Probability of selecting 2 red balls = (13/50) * (13/50) = 169/2500 ≈ 0.0676.
Therefore, the probability of selecting 2 red balls is approximately 0.0676 or 6.76%.
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How do you find the area of a circle with a rectangle?
the area of a circle with a rectangle will be [π w²2]/4.
What is the area of a circle?
The measurement of the circle's boundaries is called as the circumference or perimeter of the circle. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it. The circle's radius is considered while calculating the circumference of the circle using the formula. As a result, in order to calculate the circle's perimeter, we must know the radius or diameter value.
area of the circle will be πr².
The area of a circle inscribed in a rectangle if the length of the rectangle is l and the width is w
= [π w²2]/4.
Hence the area of a circle with a rectangle will be [π w²2]/4.
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An item on sale costs 30% of the original price. If the original price was $90 what is the sale price
When 5 is subtracted from the square of a number, the result is 4 times the number. Find the negative solution.
PLEASE HELP FAST!! LIKE ASAP LOL
Answer:
x = -1
Step-by-step explanation:
First, we can translate this statement to the equation
\(x^2-5=4x\)
Subtracting 4x from both sides gives us a quadratic equation:
\(x^2-4x-5=0\)
From here, we can factor the expression on the right to give us the equation's two solutions. The factored form will look like
\((x+a)(x+b)=0\)
We need a + b = -4 and ab = -5, and picking a = 1 and b = -5 do the job there. Our expression factors then to (x + 1)(x - 5), giving us the equation
\((x+1)(x-5)=0\)
And the solutions x = -1 and x = 5. Since we're only looking for the negative solution, x = -1 is the one we want.
i need help asap! anyone know this?
Answer:
1 = 0
12x12 = 4
100=1
I think the last one is also 1
Step-by-step explanation:
James takes out a loan of 9000 euros which keeps on charging simple interest at a rate of 3% of the original amount per annum until it is cleared. James pays of 770 euros each year to reduce the loan. After how many years will James have fully cleared the loan?
James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.
To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.
The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.
In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.
In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.
This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.
Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.
Combining like terms, we have 9000 + 270 = 1.04x.
Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.
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Which transformation on triangle XYZ results in a triangle that is similar, but not congruent, to triangle XYZ?
A. a translation 3 units to the right
B. a reflection across the line y = - 2x + 3
C. a rotation 90° clockwise around the origin
D. a dilation centered at the origin with a scale factor of
Answer: Choice D
Step-by-step explanation: A dilation would result in a similar triangle because multiplying by the scale factor will create proportional sides. However, this will change the size of the triangle, making it not congruent.
Answer:
D.
Step-by-step explanation:
Congruent means that the triangles are exactly the same in shape and size.
Dilating the triangle is the only answer that will change its size.
Which expression is equivalent to P/6 +(q+8)
In a school of 464 students, 89 students are in the band, 215 students are on sports teams, and 31 students participate in both activities. How many students are involved in neither band nor sports?
A.160 students
B.191 students
C.249 students
D.433 students
Answer:
191 students B option is correct
Step-by-step explanation:
Total students=464
In band=89
sports teams=215
Number of students who participates in activities is
215+89=304
31 participate in both activities so,
304-31=273
273 who participate in activities
Total students-273=Not involved in any activity
464-273=191
Is triangle mno similar to triangle pqo explain
Answer:
need more information or a picture please
Step-by-step explanation:
PLEASE HELP ME
EXPLANATION = BRAINLIEST
Each gridline represents one mile. If Ryan drove from home to the soccer field and then from the soccer field to the library, traveling in a straight line to each destination, he would have traveled ___ miles by the time he reached the library.
Answer:
13 miles
Step-by-step explanation:
Distance from home to Field :
4² + 3² = d²
16 + 9 = d²
25 = d²
d = 5 miles
Field to Library :
8 lines so 8 miles
Total :
5 + 8 = 13 miles
He traveled 13 miles
If my answer is incorrect, pls correct me!
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-Chetan K
3.
Find the inverse of A if it has one, or state that the inverse does not exist.
I can only give you the answer
Answer:
Hello,
Answer A
Step-by-step explanation:
See jointed file: Methode du compagnon