Identify the directrix, focus, and vertex of the parabola in the figure.
(Image Attached Below in Pic 1)
Directrix
^(0,4), (-3, 2), (-3, 3), y = 4, (1,-1), x = 4
Focus
^(0,4), (-3, 2), (-3, 3), y = 4, (1,-1), x = 4
Vertex
^(0,4), (-3, 2), (-3, 3), y = 4, (1,-1), x = 4
__________________________________________
2) Identify the directrix, focus, and vertex of the parabola in the figure.
(Image Attached Below in Pic 2)
Match the correct coordinates or equation with the correct part of the parabola.
Directrix
^(2, -4), y = -6, x = -6, (6, -1), (2, -5), (0, -6)
Focus
^(2, -4), y = -6, x = -6, (6, -1), (2, -5), (0, -6)
Vertex
^(2, -4), y = -6, x = -6, (6, -1), (2, -5), (0, -6)
1) Directrix is y=4, focus is (-3,2), and vertex is (-3,3).
Focus and vertex are given to youThe vertex is equidistant from the focus and the directrix. Since the distance from the vertex to the focus is 1, the distance from the vertex to the directrix must also be 1, giving its equation to be y=4.2) Directrix y=-6, focus (2,-4), vertex (2,-5)
Focus and vertex are given to youThe vertex is equidistant from the focus and the directrix. Since the distance from the vertex to the focus is 1, the distance from the vertex to the directrix must also be 1, giving its equation to be y=-6.Will give correct answer brainliest
ST ~ FM
T ~ M
JS ~ BF
S ~ F
hope this hellpss
What is the difference between the sum of the measures of the interior angles in an octagon and the sum of the measures of the interior angles in a hexagon?.
The difference between the sum of the measures of the interior angles in an octagon and the sum of the measures of the interior angles in a hexagon is 360°.
Interior angle refers to the angle inside a polygon that is formed by two of its adjacent sides. The sum of the measures of the interior angles of a polygon is given by the equation:
180°(n - 2)
where n is the number of sides
An octagon is a polygon that has 8 vertices and 8 sides. The sum of the measures of the interior angles of an octagon is:
180°(8 - 2) = 180°(6) = 1080°
On the other hand, a hexagon is a polygon that has 6 vertices and 6 sides. The sum of the measures of the interior angles of an octagon is:
180°(6 - 2) = 180°(4) = 720°
Subtracting the sum of the interior angles of the two polygons,
1080° - 720° = 360°
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Evaluate the expression 120n+160,500120n+160,500 when n=32n=32.
Answer: The answer should be 164,340.
84 = 7d A. 8 B 12 C. 77
Answer:
B
Step-by-step explanation:
84=7d
Divide by 7
12=d
can someone help me with this plz and thank u
Answer:
1. B
2.C
3.A
4.C
5. B
6.D (because all the other ones are wrong and i cant see D)
i hope this helped!! :)
se differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers to four decimal places.) Squareroot 24.6 using differentials________ using a calculator ________
The differentials to approximate the value of the expression and compare with the answer of the calculator for sqrt 24.6 are shown below;
We have to find out the value of sqrt 24.6 using differentials.
Approximation using differentials:
We have to find the value of `sqrt(24.6)`. Let `f(x) = sqrt(x)`.Here, `x = 24.6` and `dx = 0.1`.
Let's first find `df(x)` using the derivative of `f(x)`.df(x) = `1/(2sqrt(x)) dx` (chain rule)df(24.6) = `1/(2sqrt(24.6)) 0.1` = `0.025`
Therefore, `delta f = df(x) dx = 0.025`.We know that `delta f` is the change in `f(x)` corresponding to a small change `dx` in `x`.
Thus, we can write the following equation:f(x + dx) ≈ f(x) + delta f = `sqrt(24.6) + 0.025`.Approximation using calculator:We will use the calculator to find `sqrt(24.6)`. We get, `sqrt(24.6) = 4.959838`.
Comparing both the values we get,`sqrt(24.6) ≈ 4.9600` (approximation using differentials)`sqrt(24.6) ≈ 4.9598` (approximation using calculator)
Thus, the value obtained using differentials and calculator are almost equal.
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pooled variance =a. SS1 + SS2 / df1 + df2b. SS1 + SS2 / n1 + n2
The formula you have given (SS₁ + SS₂) / (n₁+ n₂) is actually the formula for the unweighted average of the variances, which is not appropriate when the sample sizes and variances are different between the two samples.
The formula for pooled variance is:
pooled variance = (SS₁+ SS₂) / (df₁ + df₂)
where SS₁ and SS₂ are the sum of squares for the two samples, df₁ and df₂ are the corresponding degrees of freedom, and the pooled variance is the weighted average of the variances of the two samples, where the weights are proportional to their degrees of freedom.
Note that the denominator is df₁ + df₂ not n₁+ n₂. The degrees of freedom take into account the sample sizes as well as the number of parameters estimated in
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Mr. Bell wants to celebrate the class that scores the highest average score on the cycle one exam covering the standard titled, "One Step Equation with Word Problems." His budget for the incentive is $60. For this total, he can purchase "x" amount of boxes of pizza. Each box of pizza cost $9.25. Select the equation that matches the word problem.
Based on the total budget of Mr. Bell for the incentive and the cost of a pizza box, the equation that matches the word problem is 60 ≥ 9.25x
What equation is correct?The amount that Mr. Bell will spend at the most is the budget for the incentive of $60.
He will not spend more than this amount but will spend a maximum of it. This amount of $60 is therefore equal to or greater than the cost of the pizzas:
60 ≥ cost of the pizza
The cost of the pizza is:
= Cost per pizza box x number of boxes
= 9 × x
= 9x
The equation is therefore:
60 ≥ 9.25x
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5 4 6 3
_+. _. =3 _. -. _ = 1
x-1. y-2. x-1 y-2
\(\begin{align}\displaystyle\sf 5+4-6\cdot 3 & = 3 \\ 5x-1 + y-2 & = 3x - 1y - 2 \\ x-1 \cdot y-2 & = 1 \end{align} \)
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
1
A line has a slope of - and passes through point
What is the equation of the line?
oy-- 1 2x + 7/10
O y=-3x+ 1
Oy - - 1 3 x 1
o y = -1 3 x - 4
Answer:
The answer is y=-1/4x+11/16
Step-by-step explanation:
y-y=m(x-x1)
y-1=-1/4(x-(-5/4))
y-1=-1/4x-5/16
+1 +1
y=-1/4x+11/16
On a slow weekend, you spend at least two hours on homework. on a busyweekend, you spend as much as five hours on homework. write an ablosue value inequality that repersents the number of hours you spend doing homework on a typical week day. math problem
The absolute value inequality that represents the number of hours spent on doing homework is 2 ≤ x ≤ 5
Let us assume that one spends x hours doing homework on a typical weekday. Then we can write
The inequality expression for a slow weekend is given as;
X ≥ 2
In the same vein, the inequality expression for a busy weekend is given as;
X ≤ 5
Pooling the two inequalities expression we have;
2 ≤ x ≤ 5
Two inequality expression could be written simultaneously if they can be expressed individually. They are commonly referred to as a “double” inequality and is often written in the form a ≤ f (x) ≤ b
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Alex had 23.74 to spend on clothes. He bought a T-shirt that cost 12.50. Write and equation to represent how much money (m) Alex has left. Then solve for m.
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=2.7 yards and b=1.6 yards, what is c? If necessary, round to the nearest tenth.
Answer:
\(\huge\boxed{\sf c = 3.1\ yards}\)
Step-by-step explanation:
Given that,a = 2.7 yards
b = 1.6 yards
c = hypotenuse
Using Pythagoran Theorem:
\(c^2=a^2+b^2\)
Put the given data.c² = (2.7)² + (1.6)²
c² = 7.29 + 2.56
c² = 9.85
Take square root on both sidesc = √9.85
c = 3.1 yards\(\rule[225]{225}{2}\)
Tell whether x and y show direct variation, inverse variation, or neither.
y-3 = 22
the variables show: (inverse variation, direct variation, or neither)
Answer:
thWhat is c hw wrin hd dont know if I know what x is to find the answer
use stokes theorem to evaluate ∫cf⋅dr where f(x,y,z)=(2y,xz, x y), z =y 3, x^2 y^2) and C is the triangle with vertices (2,0,0), (0,2,0), and (0,0,2) oriented counterclockwise as viewed from above.
The value of the line integral ∫cf⋅dr is (-2 + y) * sqrt(3).
To evaluate the line integral ∫cf⋅dr using Stokes' theorem, we first need to find the curl of the vector field f. The curl of f is given by ∇ × f, where ∇ is the del operator.
Calculating the curl of f:
\(∇ × f = (∂/∂y)(xz) - (∂/∂z)(2y) + (∂/∂z)(xy) - (∂/∂x)(xy) + (∂/∂x)(2y) - (∂/∂y)(2y)\)
\(= x - 2 - x + 2y - y\\= -2 + y\).
Now, let's find the area of triangle C using the vertices given. The triangle with vertices (2,0,0), (0,2,0), and (0,0,2) forms an equilateral triangle in the xy-plane with side length 2.
The area of an equilateral triangle is given by\((sqrt(3)/4) * (side length)^2\), so the area of this triangle is \((sqrt(3)/4) * (2)^2 = sqrt(3)\).
Since we have the curl of f as -2 + y and the area of the triangle as sqrt(3), we can now evaluate the line integral using Stokes' theorem:
∫cf⋅dr = ∬S (∇ × f) ⋅ dS
= ∬S (-2 + y) ⋅ dS
= (-2 + y) ∬S dS
= (-2 + y) * sqrt(3).
Therefore, the value of the line integral ∫cf⋅dr is (-2 + y) * sqrt(3).
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Amanda ate breakfast at a restaurant. The bill came to $64. She left a 15$ tip, how much was the tip?
Answer:
if you meant she left a 15% tip then the tip was $9.60
Step-by-step explanation:
Place the numbers in order from least to greatest.
= -1050 = 25 = 80 = -800
Answer:
-1050 = -800 = 25 = 80
Step-by-step explanation:
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
1) look at the your numbers and find the negatives. they always are the SMALLEST.
2) as you can see on the line above, there's the middle and from there negative numbers go to the left and positive numbers go to the right.
3) the bigger negative numbers are the smaller they are, super confusing ik
Assume that a procedure yields a binomial distribution with n trials and the probability of success for one trial is p. Use the given values of n and p to find the mean mu μ and standard deviation sigma σ. Also, use the range rule of thumb to find the minimum usual value mu minus 2 sigma μ−2σ and the maximum usual value mu plus 2 sigma μ+2σ. n equals = 200, p equals = 0.6
In summary: Mean (μ): 120, Standard deviation (σ): 6.93, Minimum usual value (μ - 2σ): 106.14 and Maximum usual value (μ + 2σ): 133.86
To find the mean mu μ of the binomial distribution, we use the formula mu = n*p. Therefore, mu = 200*0.6 = 120.
To find the standard deviation sigma σ, we use the formula sigma = sqrt(n*p*(1-p)). Therefore, sigma = sqrt(200*0.6*0.4) = 6.93.
Using the range rule of thumb, we can estimate the minimum usual value by subtracting 2 times the standard deviation from the mean, and the maximum usual value by adding 2 times the standard deviation to the mean. Therefore, the minimum usual value is mu - 2*sigma = 120 - 2*6.93 = 106.14, and the maximum usual value is mu + 2*sigma = 120 + 2*6.93 = 133.86.
So, in summary, the mean mu μ of the binomial distribution is 120, the standard deviation sigma σ is 6.93, the minimum usual value mu minus 2 sigma μ−2σ is 106.14, and the maximum usual value mu plus 2 sigma μ+2σ is 133.86.
For a binomial distribution, the mean (μ) and standard deviation (σ) can be calculated using the formulas:
μ = n * p
σ = √(n * p * (1 - p))
Given n = 200 and p = 0.6, we can find μ and σ:
μ = 200 * 0.6 = 120
σ = √(200 * 0.6 * (1 - 0.6)) = √(200 * 0.6 * 0.4) = √48 ≈ 6.93
Next, we can use the range rule of thumb to find the minimum and maximum usual values:
Minimum usual value (μ - 2σ):
120 - (2 * 6.93) = 120 - 13.86 ≈ 106.14
Maximum usual value (μ + 2σ):
120 + (2 * 6.93) = 120 + 13.86 ≈ 133.86
In summary:
Mean (μ): 120
Standard deviation (σ): 6.93
Minimum usual value (μ - 2σ): 106.14
Maximum usual value (μ + 2σ): 133.86
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On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4).
If a translation of is applied to square ABCD, what is the y-coordinate of B'?
Answer:
-2
Step-by-step explanation:
Answer:
its -8
Step-by-step explanation:
i got it rigth on edge
what is the midpoint of the line segment with endpoints (-5.5, -6.1) and (-0.5, 9.1)
Determine the properties of the binary relation R on the set { 1, 2, 3, 4, … } where the pair (a, b) is in R if a |b. Circle the properties:
Is this relation Reflective?
Is this relation Symmetric?
Is this relation Antisymmetric?
Is this relation Transitive?
R is Reflective, Antisymmetric, and Transitive.
To determine the properties of the binary relation R on the set {1, 2, 3, 4, ...} where the pair (a, b) is in R if a | b, let's examine each property:
1. Reflective: A relation is reflective if (a, a) is in R for all a in the set. Since a | a for all natural numbers, R is reflective.
2. Symmetric: A relation is symmetric if (a, b) in R implies (b, a) in R. In this case, R is not symmetric, as a | b does not always imply b | a. For example, (2, 4) is in R, but (4, 2) is not.
3. Antisymmetric: A relation is antisymmetric if (a, b) in R and (b, a) in R implies a = b. R is antisymmetric because the only time (a, b) and (b, a) are both in R is when a = b (e.g., a | a and a | a).
4. Transitive: A relation is transitive if (a, b) in R and (b, c) in R implies (a, c) in R. R is transitive because if a | b and b | c, then a | c.
In summary, the binary relation R is Reflective, Antisymmetric, and Transitive.
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Solve the equation.
7h-5(3h-8)= -72
7h-15h+40=-72
40+72=15h-7h
112=8h
h=14
Question: What are all the values that a correlation r can possibly take? A. 0 ≤ r ≤ 1 B. r ≥0 C. -1 ≤ r ≤ 1 D. None of the above.
The correct answer is C. -1 ≤ r ≤ 1. The correlation coefficient, r, is a measure of the strength and direction of a linear relationship between two variables. It can take on any value between -1 and 1, inclusive.
A correlation coefficient of -1 indicates a perfect negative correlation, where as one variable increases, the other variable decreases in a perfectly linear fashion. A correlation coefficient of 0 indicates no linear relationship between the two variables. A correlation coefficient of 1 indicates a perfect positive correlation, where as one variable increases, the other variable increases in a perfectly linear fashion.
Therefore, statement A is not correct as it only includes the positive values of r. Statement B is not correct as it does not include negative values of r. Statement C is correct as it includes all possible values of r.
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please help me <3 uwu
Answer:
D or the Last one
Step-by-step explanation:
because the equation equals that and it is a perfect square method because the middle term is not canceled out. Hope this helps!
will give brainlyist if quick
What is the RACI matrix?
a. Resource Allocation & Cost Inventory matrix
b. Matrix of Responsible and Certified Individuals
c. Responsible, Accountable, Consult & Inform matrix
d. Recently Added Control Incident reporting matrix
The RACI matrix is the Responsible, Accountable, Consult & Inform matrix. It is a tool used in project management to clearly define the roles and responsibilities of team members in relation to a project.
c. Responsible, Accountable, Consult & Inform matrix
The RACI matrix is a tool used in project management to clearly define roles and responsibilities. It stands for Responsible, Accountable, Consulted, and Informed. Assigning these roles to individuals or teams, it ensures efficient allocation of resources and effective communication throughout the project.
The matrix identifies who is Responsible for a task, who is Accountable for its completion, who needs to be Consulted before decisions are made, and who needs to be Informed about progress. This helps to avoid confusion and ensure that resources are allocated appropriately, which can ultimately impact the cost of the project.
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You were asked to simplify the following expression on the Pre-Calculus worksheet: 3(x + h)^2 −(x + h) −(3x^2 −x)/h. Write out the limit definition (the one with the limh→0 in it) that would compute the formula for f ′(x) for the function f (x) = 3x^2 −x. Now compute this limit. Note that your answer will be a formula with x’s in it because you are taking the limit as h goes to 0.
The limit definition that computes the formula for f ′(x) is f ′(x) = lim(h→0) [3(x + h)^2 − (x + h) − (3x^2 − x)] / h. Simplifying this expression yields f ′(x) = 6x - 1.
f ′(x) = lim(h→0) [(3x^2 + 6xh + 3h^2) − (x + h) − (3x^2 − x)] / h
= lim(h→0) [3x^2 + 6xh + 3h^2 - x - h - 3x^2 + x] / h
= lim(h→0) [6xh + 3h^2 - h] / h
= lim(h→0) 6x + 3h - 1
= 6x - 1
Therefore, the derivative of the function f(x) = 3x^2 − x, denoted as f ′(x), is equal to 6x - 1.
To find the derivative of the function f(x) = 3x^2 − x, we utilize the limit definition. Simplifying the expression step by step, we arrive at the derivative formula f ′(x) = 6x - 1. This result implies that the slope of the tangent line at any point on the graph of f(x) is given by 6x - 1.
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Identify the cross section that results from slicing the three-dimensional figure.
A) pyramid
B) prism
C) square
D) triangle
For cross-sectional slicing of the three-dimensional figure is that is a square. Thus option C is correct.
What is cross-section slicing ?As per the figure, cross-sectional slicing means the division of the three-dimension into half and they are divided into the 3D view thus forming a square.
All the 3 dimension figures include the cone, rectangle, and triangle. The volume of space that the cross-section of the plane makes tells us about the figure.
Hence the options square is correct as it makes the 3D view from the base of the triangle figure.
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write and equation that would create the graph of the line
we have two points (x, y): (0,1) and (1,3)
We can use the point-slope form
(y - y1) = m (x -x1)
The slope = m= (y2-y1)/ (x2-x1)
or
The slope-intercept form.
y = mx + b
m= (y2-y1)/ (x2-x1)
y-intercept is (0, b)
__________________________
Using The slope-intercept form,
y = mx + b
b = 1
point (0,1)
Replacing
y = mx + 1
finding the slope
point 1 (0, 1), x1= 0; y1= 1
point 2 (1, 3); x2= 1; y2= 3
m= (y2-y1)/ (x2-x1)
Replacing
m= ( 3- 2)/ (1 - 0) = 2/1 = 2
___________________
Replacing the slope
y = 2x + 1
__________________
Answer
y = 2x + 1