Answer:
1. \((x-6)^{2}\)
2. \((x +11)^2\)
3. \((x-4y)^{2}\)
4. \((5x - y)^2\)
Step-by-step explanation:
1. \(x^{2} -12x +36\) ---> \((x-6)^{2}\)
2. \(x^{2} +22x + 121\) ---> \((x +11)^2\)
3. \(x^{2} -8xy+16y^{2}\) ---> \((x-4y)^{2}\)
4. \(25x^2-10xy + y^2\) ---> \((5x - y)^2\)
Please help meeee! Need the answer for the first box, no phony answers please! Thanks for your help, and happy holidays!
Answer:
y=2(x+5)^2-4.
Step-by-step explanation:
By solving a little bit, we get the vertex to be (-5, -4). Plugging the info given and the vertex into the vertex form, we get y=2(x+5)^2-4. You have a happy holiday season, too!
Note Figure is not drawn to scale.
If r= 2 cm and h = 2 cm, what is the surface area,
in terms of r?
Answer:
your answer is...
Step-by-step explanation:
50.265482457437
I used my calculator
The table represents the function fix).
f(x)
X
-3
-2
−1
0
1
2
3
-3
0
3
69
9
What is (3)?
09
F(3) is equal to 9, based on the given table and the corresponding values of x and f(x). Option D.
To find the value of F(3) based on the given table, we look at the corresponding x-value of 3 and find its corresponding f(x) value.
From the table, we see that when x = 3, f(x) = 9. Therefore, F(3) = 9.
The table shows the values of x and their corresponding f(x) values. We can see that when x increases by 1, f(x) also increases by 3. This indicates that the function has a constant rate of change, where the change in f(x) is always 3 units for every 1 unit change in x.
Given that F(3) represents the value of the function when x = 3, we look at the x-values in the table and find the corresponding f(x) value. In this case, when x = 3, f(x) = 9.
Therefore, the value of F(3) is 9. Option D is correct.
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Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.
Three lines of math. The first line, StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis. The second line, StartFraction one-half EndFraction x minus 7 plus 11 equals StartFraction one-half EndFraction x minus x plus 4. The third line StartFraction one-half EndFraction x plus 4 equals negative StartFraction one-half EndFraction x plus 4.
StartFraction one-half EndFraction x minus 7 plus 11 equals StartFraction one-half Endfraction x minus x plus 4.
StartFraction one-half EndFraction x plus 4 equals negative StartFraction one-half Endfraction x plus 4.
When she subtracts 4 from both sides, Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction x. results. What is the value of ?
–1
–negative StartFraction one-half EndFraction
0
StartFraction one-half EndFraction. BRAINIEST
When she subtracts 4 from both side of the equation, then she gets the value of x is 0.
What is expression?Expressions means the idea of expressing numbers using letters or alphabets without specifying their actual values, the expression is the statement consisting variable, numbers, and arithmetical operation.
Given that, Karissa begins to solve the equation,
1/2(x-14)+11 = 1/2x-(x-14)
1/2x-1/2(14)+11 = -1/2x-x+4
1/2x-7+11 = -1/2x+4
1/2x+4 = -1/2x+4
1/2x+1/2x = 4-4
x = 0
Hence, When she subtracts 4 from both sides, then x = 0
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I Agree With The Other Person
What is the probability that a random sample of 12 second grade students results in a mean reading rate of more than 95 words per minute?
The probability that a random sample of 12 second grade students results in a mean reading rate of more than 95 words per minute is 0.4582.
Given that the population mean, \(\mu\) = 90 wpm
The standard deviation of the population ,\(\sigma\) = 10
Sample size, n = 12
Sample mean, \(\bar x\) = 95
The reading rate of students follows the normal distribution.
Let z = \(\frac{\bar x - \mu}{\frac{\sigma}{\sqrt n} }\)
= \(\frac{95 - 90}{\frac{10}{\sqrt 12} }\)
= 1.732
Probability that the mean reading exceeds 95 wpm = P(\(\bar x\) >95)
= P(z>1.732)
= 1- P(z<1.732)
= 0.4582
[The value 0.4582 found from the area under the normal curve using tables].
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Fill in the blank A ____ is a graph of points (x,y) where each x-value is from the original set of sample data, and each y-value is the corresponding Z-score that is a quantile value expected from the standard normal distribution
answer options are
histogram
frequency polygon
scatterplot
normal quantile plot
Normal quantile plot is a graph of points (x,y) where each x-value is from the original set of sample data, and each y-value is the corresponding Z-score that is a quantile value expected from the standard normal distribution.
What is a Normal Quantile Plot?
A normal quantile plot is a graphical tool used to determine whether a data set is normally distributed or not.
It plots sample data versus a theoretical normal distribution.
In general, the points on the plot should form a straight line if the data is normally distributed. If the data is not normally distributed, the points on the plot will not form a straight line.
A normal quantile plot can be used to evaluate the following:
Whether or not a data set is normally distributedA data set's skewnessA data set's outliersA data set's center and spread whether or not a transformation is required to make a data set normally distributed.The normal quantile plot of the residuals is the most important diagnostic tool for examining whether the assumptions of a linear regression model have been met.
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2409÷61 as a fraction
Answer:
así es es una fracción si necesita la respuesta me avisa
Compute the flux of F⃗ =3(x+z)i⃗ +2j⃗ +3zk⃗ through the surface S given by y=x^2+z^2, with 0≤y≤16, x≥0, z≥0, oriented toward the xz-plane
It seems there is an error in the given vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ as it does not have a component along the y-axis. Please double-check the vector field or provide the correct vector field to proceed with the calculation.
To compute the flux of the vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ through the surface S given by y=x^2+z^2, with 0≤y≤16, x≥0, z≥0, oriented toward the xz-plane, we can use the surface integral.
The surface integral of a vector field F⃗ over a surface S is given by the formula:
∬S F⃗ · dS = ∬S F⃗ · (n⃗ dS)
where F⃗ is the vector field, dS is the differential area vector, and n⃗ is the unit normal vector to the surface.
In this case, the surface S is given by y=x^2+z^2, with 0≤y≤16, x≥0, z≥0. We can parameterize this surface as:
r(x, z) = xi⃗ + yj⃗ + zk⃗ = xi⃗ + (x^2+z^2)j⃗ + zk⃗
To find the normal vector n⃗ to the surface, we can take the cross product of the partial derivatives of r(x, z) with respect to x and z:
n⃗ = ∂r/∂x × ∂r/∂z
= (1i⃗ + 2xj⃗) × (0i⃗ + 2zj⃗)
= -2xz i⃗ + 2zj⃗ + 2xk⃗
Now, we can calculate the flux:
∬S F⃗ · (n⃗ dS) = ∬S (3(x+z)i⃗ + 2j⃗ + 3zk⃗) · (-2xz i⃗ + 2zj⃗ + 2xk⃗) dS
= ∬S (-6x^2z - 4xz + 6xz^2 + 6xz) dS
= ∬S (-6x^2z + 2xz + 6xz^2) dS
To evaluate this integral, we need to determine the limits of integration for x, y, and z.
Since the surface is defined by 0≤y≤16, x≥0, z≥0, we have:
0 ≤ y = x^2 + z^2 ≤ 16
Simplifying the inequality, we get:
0 ≤ x^2 + z^2 ≤ 16
From this, we can see that x and z both range from 0 to 4.
Now, we can evaluate the flux:
∬S (-6x^2z + 2xz + 6xz^2) dS = ∫∫ (-6x^2z + 2xz + 6xz^2) dA
where dA is the differential area.
Integrating over the limits 0 ≤ x ≤ 4 and 0 ≤ z ≤ 4, we can calculate the flux.
However, it seems there is an error in the given vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ as it does not have a component along the y-axis. Please double-check the vector field or provide the correct vector field to proceed with the calculation.
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Ava opened a account first oak with 5000$. Zoe started an account with 4000$ l. No additional deposit or withdrawal from this account. Hiw much more money will be in avas account than zoes at the end of three years
Answer:
This isnt much of an answer just something to help-
Try doing A(1 + B)^I
What is the value of 3x+4?
Answer:
7x
Step-by-step explanation:
add the numbers 3+4
and add the x
find the acute angle between the lines. round your answer to the nearest degree. 6x − y = 2, 5x y = 7
The acute angle between the lines 6x - y = 2 and 5x + y = 7 is approximately 55 degrees.
To find the acute angle between two lines, we need to determine the angle between their direction vectors.
First, let's rewrite the given lines in slope-intercept form:
Line 1: 6x - y = 2 => y = 6x - 2
Line 2: 5x + y = 7 => y = -5x + 7
The direction vector of Line 1 is (6, -1), and the direction vector of Line 2 is (5, -1).
To find the angle between two vectors, we can use the dot product formula:
cos(theta) = (v · w) / (|v| |w|)
where v and w are the direction vectors of the lines, and |v| and |w| are their magnitudes.
Calculating the dot product:
v · w = (6 * 5) + (-1 * -1) = 30 + 1 = 31
Calculating the magnitudes:
|v| = sqrt(6^2 + (-1)^2) = sqrt(36 + 1) = sqrt(37)
|w| = sqrt(5^2 + (-1)^2) = sqrt(25 + 1) = sqrt(26)
Plugging the values into the formula:
cos(theta) = 31 / (sqrt(37) * sqrt(26))
Using an inverse cosine function to find theta:
theta ≈ acos(31 / (sqrt(37) * sqrt(26))) ≈ 54.8 degrees
Rounding to the nearest degree, the acute angle between the lines is approximately 55 degrees.
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The lines shown below are perpendicular
Answer:
Slope of green line:
\(m = \frac{ - 3 - 3}{4 - ( - 4))} = - \frac{6}{8} = - \frac{3}{4} \)
Slope of red line:
\(m = \frac{3 - ( - 5)}{3 - ( - 3)} = \frac{8}{6} = \frac{4}{3} \)
The slopes of these two lines are negative reciprocals of each other.
Therefore, the correct answer is True (A).
Someone please help me. ASAP
Answer:
x = 6
Step-by-step explanation:
we both know you dont wanna know how you just want the answer
can someone help me with this
Answer:
Total Area = 1200 in^2
Step-by-step explanation:
There is a triangle and a rectangle.
Arca Triangle: Area = 1/2 * Base* Height
Area = 1/2 * 40 in * 30 in = 600 in^2
Area Rectangle: Area = Length* Width
Area = 30 in * 20 in = 600 in^2
Total Area = Area Rect + Area Tri
Total Area = 600 in^2 + 600 in^2 = 1200 in^2
equivalent ratio of given ratio to form
Answer:
not enough context
HELP MEEEE PLEASE i don't know how to do this
Answer:
5 hours
Step-by-step explanation:
35x+25 = 40x
25=5x
x= hours
how would you solve this equation?
Answer:
19,188
Step-by-step explanation:
hope this helps ;)
how many solutions are there to square root x =9
Answer:
There are 2 solutions to square root x = 9
They are 3, and -3
Step-by-step explanation:
The square root of x=9 has 2 solutions,
The square root means, for a given number, (in our case 9) what number times itself equals the given number,
Or, squaring (i.e multiplying with itself) what number would give the given number,
so, we have to find the solutions to \(\sqrt{9}\)
since we know that,
\((3)(3) = 9\\and,\\(-3)(-3) = 9\)
hence if we square either 3 or -3, we get 9
Hence the solutions are 3, and -3
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answer:
question 12 is answer B
question 13 is -8x^3
Step-by-step explanation:
exponent rule \(\frac{a^m}{a^n} = a^(^m^-^n^)\)
Assume the distribution of IQ scores for adults can be modeled with a normal distribution with a mean score of 100 points and a standard deviation of 10 points. 90% of adults will have an IQ score higher than what value?
The IQ score that is higher than 90% of the population is 112.8.
We know that the IQ scores follow a normal distribution with a mean of 100 and a standard deviation of 10.
Let X be the random variable representing the IQ scores. We want to find the value x such that 90% of the observations lie above x.
Using the standard normal distribution table or calculator, we can find the z-score corresponding to the 90th percentile as 1.28.
The z-score formula is z = (x - μ) / σ, where μ is the mean, σ is the standard deviation and x is the value we want to find.
Plugging in the values, we get 1.28 = (x - 100) / 10. Solving for x, we get x = 100 + 12.8 = 112.8.
Therefore, the IQ score that is higher than 90% of the population is 112.8.
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very confusing i know
Center (-10, -4), Point on Circle: (4,2)
h=
k=
r^2=
Fill in the parenthesis for the equation of the circle:
(Blank 1)² +(Blank 2)²= (Blank 3)
*Just type what you would write in the parentheses with no spaces
Answer:
(x + 10)² + (y + 4)² = 232Step-by-step explanation:
Given Center = (-10, -4)Point on circle = (4, 2)To find The equation of circleSolutionRemember the standard equation of circle:
(x - h)² + (y - k)² = r², where (h, k) is the center and r is radiusWe have
h = -10, k = -4Use distance formula (Pythagorean theorem) to work out the length of the radius. We know that radius is the distance from the center to any point on the circle.
Here we are finding the distance between points (-10, -4) and (4, 2)
r² = (-10 - 4)² + (-4 - 2)² r² = 14² + 6²r² = 232So the equation is:
(x + 10)² + (y + 4)² = 232in forecasting, there is more than one use for linear regression. what are they? check all that apply.
Casual relationship forecasting and Time series forecasting uses linear regression in forecasting.
Linear regression is a statistical tool used in forecasting to model the relationship between a dependent variable and one or more independent variables. Some of the common uses of linear regression in forecasting are:
Predictive modeling: Linear regression can be used to build a predictive model that estimates the value of the dependent variable based on the values of the independent variables..Trend analysis: Linear regression can be used to analyze the trend of the dependent variable over time.Forecast accuracy evaluation: Linear regression can be used to evaluate the accuracy of a forecasting model by comparing the predicted values to the actual values of the dependent variable. Causal analysis: Linear regression can be used to identify the causal relationship between the independent variables and the dependent variable. .Therefore, linear regression is a versatile tool in forecasting, with many useful applications for predicting future values, analyzing trends, evaluating accuracy, and identifying causal relationships.
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The complete question is :
In forecasting, there is more than one use for linear regression. What are the? Check all that apply.
1. Causal relationship forecasting
2. Time series forecasting
Enter the solutions from least to greatest.
(X+ 1)(3x + 4) = 0
lesser x =
greater x =
Answer:
Lesser x = -4/3
Greater x = -1
Step-by-step explanation:
By the Zero Product Property, the roots are found by setting each factor equal to 0:
x+1 = 0
x = -1
3x+4 = 0
3x = -4
x = -4/3
So, the lesser x is -4/3 and the greater x is -1.
Find the length of MN
Answer:
Is there supposed to be a screenshot?
then again this is your first question .....................
For a sequence of statements, compute their complexity functions individually and add them up for (j=0;j
If the sequence of statements is executed within a loop where `j` ranges from 0 to `n`, the overall time complexity is O(n).
To compute the complexity function for a sequence of statements where the variable `j` ranges from 0 to `n`, we need to analyze the complexity of each individual statement and then sum them up.
Let's assume the time complexity of each statement is as follows:
Statement 1: O(1)
Statement 2: O(1)
...
Statement `n`: O(1)
Since all the statements have a time complexity of O(1), we can say that each statement takes constant time regardless of the input size.
Now, we need to consider the loop where `j` ranges from 0 to `n`. In each iteration of the loop, the sequence of statements is executed. Therefore, the time complexity of the loop will depend on the number of iterations.
The loop `for j in range(n)` runs `n` times. In each iteration, the sequence of statements is executed. Since each statement has a time complexity of O(1), the total complexity of the sequence of statements executed in each iteration is O(1).
Therefore, the time complexity of the loop is given by:
O(1) * n = O(n)
Finally, since the loop is the only part that depends on the input size `n`, the overall time complexity of the sequence of statements is O(n).
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Complete Question
For a sequence of statements, compute their complexity functions individually and add them up for (j=0; j < n; j++). Write the complete question.
2) Bobby has 3 apples and 5 oranges. Mary has 2 apples and
one orange. If Bobby eats an orange and then combines
what he has with Mary, what do they have together?
Answer:
3 apples and 6 oranges.
Step-by-step explanation:
5-1=4
4+2=6
0+3=3
6 apples and 3 oranges
What is the rate of change between (3.4,-0.1) and (3.5,0.1)?
The rate of change between the points (3.4, -0.1) and (3.5, 0.1) is 2.
How to find rate of change?The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity.
The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity.
Therefore,
rate of change = Δy / Δx
rate of change = y₂ - y₁ / x₂ - x₁
Hence, let's find the rate of change of (3.4,-0.1) and (3.5,0.1).
rate of change = 0.1 + 0.1 / 3.5 - 3.4
rate of change = 0.2 / 0.1
rate of change = 2
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Whitney is a car saleswoman. Her weekly pay is $375 plus 3.5% of her total sales for the week. Whitney sells x dollars’ worth of cars during the week.
Whitney's weekly pay is $375 plus 3.5% commission on her total sales for the week (represented by x). The equation for her weekly pay is Weekly Pay = $375 + 0.035x.
To calculate Whitney's total weekly pay, we need to add her base salary and the commission she earns from her sales. The base salary is a fixed amount of $375. The commission is calculated as 3.5% of her total sales, represented by the variable x.
The equation to determine Whitney's weekly pay can be expressed as: Weekly Pay = $375 + (0.035 x)
In this equation, x represents the total sales made by Whitney during the week. To calculate her commission, we multiply the total sales (x) by 0.035, which is equivalent to 3.5%.
Adding the base salary and the commission gives us Whitney's total weekly pay. The equation allows for flexibility in accounting for different levels of sales, as the commission is directly proportional to the total sales amount.
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GIVING BRAINLIEST!! PLS HELP :((
At least 2 sides of equal length, 2 pairs of parallel sides, & at least 2 right angles.
Which shapes have all the properties shown? Select All That Apply.
A) Isosceles triangle
B) Parallelogram
C) Rectangle
D) Right Triangle
E) Square
F) Trapezoid
Answer:
A parallelogram is a quadrilateral with 2 pairs of parallel opposite and equal sides. Similarly, the opposite angles in a parallelogram are equal in measure
Step-by-step explanation:
Answer: Parallelogram
Rectangle
Square
Step-by-step explanation:
f(x, m, s) = 1 √278² exp (-2/2 (x-m) ²) 28² Write a function in the form of gauss(x, m=0, s=1) for computing the Gaussian density. Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. Give the name of question5b (c) x-0, m-2, s-1. Give the name of question5e (d) x=0, m=2, s=2. Give the name of question5d (e) x=3, m-3, s-3.
Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.
To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.
First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:
Principal = $1,000
Rate of interest per period = 8% / 4 = 2% per quarter
Number of periods = 12 quarters
Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)
= $1,000 * (1 + 0.02)^12
≈ $1,166.41
Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):
Principal = $1,000
Rate of interest per period = 2% per quarter
Number of periods = 8 quarters
Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)
= $1,000 * (1 + 0.02)^8
≈ $1,165.16
Finally, we add the two values to find the total value of the account on January 1, 2021:
Total value = Value after three years + Value after two years
≈ $1,166.41 + $1,165.16
≈ $2,331.57
Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.
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