Answer:
9² + 12² = 81+144 =225
X =
\( \sqrt{225} = 15 \)
Find the coordinates of the turning point for the equation of the graph below.
y
=
x
2
−
16
x
+
39
Answer:
y 7
= =0
x x0
2 2-+x/
− 0-
16 16+x-/
x 0 0x
+ 0+
39 8
Step-by-step explanation:
Choose the slope-intercept form of the equation of the line that passes through (-2, 4) and is perpendicular to the graph of 2x + y = -20.
hey guys could yall solve this problem for me? thanks
Answer:
Given ABCD ~ EFGH
FG = BC(EF/AB)
FG = 7(9/6)
FG = 63/6
FG = 10.5
GH = CD(EF/AB)
GH = 11(9/6)
GH = 99/6
GH = 16.5
EH = AD(EF/AB)
EH = 12(9/6)
EH = 108/6
EH = 18
Pleaseee helppppppppppppppppppp
To find Angle A we use cosine
cos ∅ = adjacent / hypotenuse
From the question
The adjacent is 17
The hypotenuse is 38
So we have
cos A = 17/38
A = cos-¹ 17/38
A = 63.4
A = 63° to the nearest degreeTo find Angle C we use sine
sin ∅ = opposite / hypotenuse
From the question
The opposite is 17
The hypotenuse is 38
So we have
sin C = 17/38
C = sin-¹ 17/38
C = 26.57
C = 27° to the nearest degreeHope this helps you
let be the -factorization of the matrix of rank . show how the least squares problem can be solved using the -factorization.
The -factorization of a matrix of rank provides a way to solve the least squares problem. By decomposing the matrix into the product of two matrices, the least squares solution can be obtained by solving a system of equations.
The -factorization, also known as the singular value decomposition (SVD), decomposes a matrix into the product of three matrices:
A = UΣV^T, where U and V are orthogonal matrices, and Σ is a diagonal matrix with singular values.
For a matrix of rank , the diagonal matrix Σ will have non-zero singular values only in the first columns.
To solve the least squares problem, we consider the linear system
A*x = b, where A is the matrix, x is the unknown vector, and b is the target vector. Using the -factorization, we can rewrite the system as
UΣV^T*x = b.
Since U and V are orthogonal matrices, they preserve vector norms. Multiplying both sides of the equation by U^T, we have ΣV^T*x = U^T*b.
Now, we can solve for x by performing the following steps:
1. Multiply U^T*b to obtain a new vector, say c.
2. Compute the inverse of Σ by taking the reciprocal of its non-zero singular values.
3. Multiply the resulting diagonal matrix with the vector c to get a new vector, say d.
4. Finally, multiply V with the vector d to obtain the least squares solution x.
By utilizing the -factorization, we have effectively transformed the least squares problem into a system of equations that can be solved using straightforward matrix operations.
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New Zealand consists of hundreds of islands. Most of the population lives on the North Island, which has an area of 1.14x105 square kilometers, and the South Island, which has an area of 151,000 square kilometers.
· Which island has a greater area? How many square kilometers greater is it? Express your answer in scientific notation.
· The population of the North Island and South Island combined is about 4.8 x 106. Find the approximate population density in people per square kilometer, rounded to the nearest unit. Explain your steps
Answer:
151,000
Step-by-step explanation:
1.14×105=119.7
151,000
For Exercises 41 through 48, determine the following (answer in interval notation as appropriate): (a) domain and range of the function; (b) zeroes of the function; (c) interval(s) where the function is greater than or equal to zero, or less than or equal to zero; (d) interval(s) where the function is increasing, decreasing, or constant; and (e) location of any local max or min value(s).
41. f(x) = 2x^2 - 8x + 6 a) Domain: [-∞, ∞] Range: [6, ∞] b) zeroes: x = 2, 4 c) Greater than or equal to zero: [6, ∞] d) Increasing: (-∞, 2) Constant: [2, 4] Decreasing: (4, ∞) e) Local minimum at (2, 2)
42. f(x) = (x + 1)^2 a) Domain: [-∞, ∞] Range: [0, ∞] b) zeroes: x = -1 c) Greater than or equal to zero: [0, ∞] d) Increasing: (-∞, -1] Constant: [-1, ∞] e) Local minimum at (-1, 0)43. f(x) = x^3 - 5x^2 + 10x - 8a) Domain: [-∞, ∞] Range: [-8, ∞]b) zeroes: x = 0, 2, 4c) Greater than or equal to zero: [0, ∞]d) Increasing: (-∞, 0) Constant: [0, 2] Decreasing: [2, 4] Increasing: (4,∞)e) Local maximum at (2, 0)44. f(x) = x^4 - 8x^2 + 16a) Domain: [-∞, ∞] Range: [0, ∞}b) zeroes: x = 0, ±2√2c) Greater than or equal to zero: [0, ∞]d) Increasing: (-∞, -2√2) Constant: [-2√2, 0] Increasing: (0, 2√2) Constant: [2√2, ∞]e) Local minimum at (0, 0) Local maximum at (2√2, 16) 45. f(x) = x^2 - 6x + 9 a) Domain: [-∞, ∞] Range: [9, ∞] b) zeroes: x = 3, 3 c) Greater than or equal to zero: [9, ∞] d) Increasing: (-∞, 3] Decreasing: (3, ∞) e) Local minimum at (3, 9) 46. f(x) = x^3 - x^2 a) Domain: [-∞, ∞] Range: [-∞, ∞] b) zeroes: x = 0, 1 c) Greater than or equal to zero: [0, ∞] d) Increasing: (-∞, 0) Increasing: (0, 1) Decreasing: (1, ∞) e) Local minimum at (1, -1) 47. f(x) = x^2 - 5x + 6 a) Domain: [-∞, ∞] Range: [6, ∞] b) zeroes: x = 2, 3c) Greater than or equal to zero: [6, ∞] d) Increasing: (-∞, 2) Decreasing: (2, 3] Decreasing: (3, ∞) e) Local minimum at (2, 2) 48. f(x) = x^3 + 4x^2 - 8x - 16 a) Domain: [-∞, ∞] Range: [-16, ∞] b) zeroes: x = 0, -2, 4 c) Greater than or equal to zero: [0, ∞] d) Increasing: (-∞, 0) Decreasing: (0, -2] Increasing: (-2, 4) Decreasing: (4, ∞) e) Local maximum at (4, 0).
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Rachel has a box in the shape of a
rectangular prism. The length of the box is
3 feet, the width is 1.5 feet, and the height
is 1 foot. What is the volume of the box
measured in cubic inches?
919
Answer:
volume of square based prism = a²h
therefore
150 in³ = x²y
y = 1.5x
150 = 1.5x³
100 = x³
x = ³√100 ≈ 4.64 in
y = 1.5x ≈ 6.96 in
Order these numbers from least to greatest.
3.48, 3.421, 17/5, 3 4/11
50 POINTS
Answer:
4/11, 3, 17/5, 3.421, 3.48
Step-by-step explanation:
4/11 = 0.36363636(repeating)
17/5 = 3.4
4/11 is the smallest given that is is not even 1
3 is smaller than 17/5, an easy way to know that is to simply 17/5 where it equals 3.4
17.5 or 3.4 is slightly smaller than 3.421, it is exactly 0.021 smaller than 3.421
3.421 is smaller than 3.48
least is 4/11 and greatest is 3.48, the in between numbers are all placed correctly in the answer section
Answer:
The answers from least to greatest are 3.36, 3.4, 3.421, 3.48
Step-by-step explanation:
17/5= 3 2/5, 3 2/5 = 3.4
3 4/11 = 3.36
3.421 stays the same
3.48 stays the same
I hope this helps and have a wonderful day!
Jeans cost 4x-5
Gary has (10x + 7) dollars. If Gary decides to buy two pairs of jeans, what expression can be written to represent how much money Gary will have left over after the purchase?
Answer:
\(2 \: jeans = 2{(4x - 5)} \\ = 8x - 10 \\ balance = (10x + 7) - (8x - 10) \\ = (10 - 8)x + (7 + 10) \\ 2x + 17 \: dollars\)
Please help me with the correct answer
Solve (x - 3)^2=5
Answer:
It's B.
Step-by-step explanation:
(5 + 3) ÷ 2 + (52 - 3) Simplify:
Answer:
53
Step-by-step explanation:
To add fractions find the LCD and then combine
Any one help with a step by step answer so I can write notes for future reference when working out similar questions? I need help working out the volume
Answer:
Volume = ( About ) 2406.165 cm^3
Step-by-step explanation:
If you consider a cube or a rectangular prism, you could identify it's volume through the multiplication of it's Base by height. A pyramid has 1 / 3rd that volume, so in order to take a volume of the figure to the left, we would multiply Base * height and take 1 / 3rd of that;
\(Square Pyramid,\\Base ( Square ) = a^2, a = length = 17.2 cm\\Height = 24.4 cm\\\\Volume = 1 / 3 ( Base ) ( Height ),\\Volume = 1 / 3 ( ( 17.2 )^2 )( 24.4 ),\\Volume = 1 / 3( 295.84 )( 24.4 ),\\\\Volume = 98.6133333333( 24.4 ),\\Volume = 2406.16533333,\\\\Volume = ( About ) 2406.165\)
Solution ⇒ ( About ) 2406.165 cm^3
Hope that helps!
Use multiplication to solve the proportion. a/6 = 15/2
Answer:
\(\frac{a}{6}\) = \(\frac{15}{2}\)
2a = 6 · 15
2a = 90
a = 45
Step-by-step explanation:
Need help with this!
Answer:
488
Step-by-step explanation:
Calculate 20% of their take-home pay
3600 * 0.20 = 720
They already pay 122 and 110 per month
720 - (122 + 110)
720 - 232
488
So the largest monthly car payment they can afford is 488
En la papelería " Office Depot", una caja con 24 plumones cuesta $120 y en la papelería "Dabo" una caja con 18 plumones cuesta $84. ¿En qué lugar es preferible comprar los plumones? A- office depot B- dabo
Answer:
B- dabo
Step-by-step explanation:
En la papelería de "Office Depot", una caja con 24 rotuladores cuesta $ 120
En la papelería de "Office Depot", 1 marcador cuesta = $ 120/24 = $ 5
En la papelería "Dabo", una caja con 18 rotuladores cuesta $ 84
En la papelería "Dabo", 1 marcador cuesta = 84 $ / 18 = 4,67 $
Es preferible comprar rotuladores de dabo.
English
At the "Office Depot" stationery, a box with 24 markers costs $ 120
At the "Office Depot" stationery, 1 marker costs= $ 120 /24= $ 5
At the "Dabo" stationery, a box with 18 markers costs $ 84
At the "Dabo" stationery, 1 marker costs =$ 84/18= $ 4.67
It is preferable to buy markers from dabo
Which of the following is the graph of 6x – 4y ≤ 20
Answer:
It should be something like that :
What is fractorization
Answer:
When you split a number into its factors or divisors, that's factorization.
Step-by-step explanation:
Find the volume of the parallelepiped (box) determined by u,v, and w. The volume of the parallelepiped is units cubed. (Simplify your answer.) Let u=j−5k,v=−15i+3j−3k,w=5i−j+k. Which vectors, if any are (a) perpendicular? (b) Parallel? (a) Which vectors are perpendicular? Select the correct choice below and fill in the answer box(es) within your choice. A. The vectors are perpendicular. (Use a comma to separate answers as needed.) B. Vector is perpendicular to vectors (Use a comma to separate answers as needed.) C. None of the vectors are perpendicular.
The volume of the parallelepiped is 360 units cubed. Vector u, vector v, and vector w are all perpendicular (orthogonal).
A parallelepiped is a three-dimensional object with six faces. A parallelepiped is a prism-like object that is slanted or skewed. The face angles of a parallelepiped are all right angles, but its sides are not all equal.
The volume of a parallelepiped is determined by three vectors, namely, u, v, and w, and is represented by V(u,v,w) = |u * (v x w)| where "*" refers to the dot product and "x" refers to the cross product of the two vectors. Substituting the given vectors u, v, and w into the formula and calculating the volume of the parallelepiped gives 360 units cubed.A vector is considered perpendicular if it has a dot product of 0 with the other vector. The given vectors u, v, and w are perpendicular to each other. Thus, A.
The volume of a rectangular parallelepiped is equal to its surface area divided by its height. In this case, the surface area is the same as the rectangle's area divided by its length. As a result, the volume increases to; V is the length, width, and height. Therefore, we can determine the volume of the rectangular box if we know these three dimensions.
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Give a rule for finding the first of four consecutive integers if you know the sum of the four integers.
If we write the first integer as the variable n, all numbers that come after it can be written as n+1, n+2, etc.
so the sum of four consecutive integers is:
sum = n + (n+1) + (n+2) + (n+3)
if we simplify:
sum = 4n +6
and if we want to know what the first integer is, we can re-write the equation as:
\(\frac{sum-6}{4}\) = n
and that is your answer.
Answer:
I am just answering so that potato can get brainliest
pls help answer question in picture
Step-by-step explanation:
2 1/3
=2*3+1/3
=7/3
Combine the radicals .
Answer: Which radicals?
Step-by-step explanation:
I’m soooo stuck on thisss
Answer:
The price would be 120 because 160 - 40 equals 120. 25 percent would represent 40. Hope this helps!
Which of the following is true concerning the pannes in salt marshes?
a.
They are isolated pools of water at low elevations.
b.
They are isolated pools of water at high elevations.
c.
They are interconnected pools of water at low elevations.
d.
They are interconnected pools of water at high elevations.
Please select the best answer from the choices provided
A
B
C
D
Answer:
A. They are isolated pools of water at low elevations.
Answer:
A on edge! hope this helps :D
Step-by-step explanation:
A stick is broken randomly into two pieces. The larger piece is then broken randomly into two pieces. What is the probability of the pieces being able to form a triangle
Answer:
25%
Step-by-step explanation:
Piece 1 = x + y > 1 - x - y
Piece 2 = x + (1 - x - y) > y
Piece 3 = y + (1 - x - y > x
Not going to lie, I had to look up how to calculate the probability of this lol
Hopefully this is right and you do well!
If it is follow my gram Greyhasnoshame
Solve the problem. Find parametric equations for the normal line to the surface
x^2 - 10xyz + y^2 = -8z^2 at the point (1, 1, 1).
a.x = -8t + 1, y = 8t + 1, z = 6t + 1
b.x = -8t + 1, y = -8t + 1, z = 6t + 1
c.x=t-8, y=t-8, z=t+6
d.x = t + 8, y = t + 8, z = t - 6
To find the parametric equations for the normal line to the surface x^2 - 10xyz + y^2 = -8z^2 at the point (1, 1, 1), we first need to find the gradient of the surface at that point. The gradient is a vector that is normal to the surface.
Taking partial derivatives of the equation with respect to x, y, and z, we have:
∂/∂x (x^2 - 10xyz + y^2) = 2x - 10yz
∂/∂y (x^2 - 10xyz + y^2) = -10xz + 2y
∂/∂z (x^2 - 10xyz + y^2) = -10xy - 16z
Evaluating these partial derivatives at the point (1, 1, 1), we get:
∂/∂x = 2(1) - 10(1)(1) = -8
∂/∂y = -10(1)(1) + 2(1) = -8
∂/∂z = -10(1)(1) - 16(1) = -26
Therefore, the gradient vector is (-8, -8, -26).
The parametric equations for the normal line passing through the point (1, 1, 1) are given by:
x = -8t + 1
y = -8t + 1
z = -26t + 1
Therefore, the correct answer is option b) x = -8t + 1, y = -8t + 1, z = -26t + 1.
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ANSWER ASAP GETS BRAINLY Set up a proportion and use cross multiplication to solve. 74.76 is 178% of what number?
133
42
238
96
Answer:
42
Step-by-step explanation:
because i just did this and i got 42 on the asignment
If angle AEB is 60 degrees, then what is the area of rectangle ABCD?
The area of the rectangle ABCD is 56 Unit².
What exactly is a rectangle?
A rectangle is a two-dimensional geometric shape that is characterized by having four sides and four right angles. It is a type of quadrilateral.
The opposite sides of a rectangle are parallel and equal in length, and the adjacent sides are perpendicular to each other. This means that the opposite sides of a rectangle have the same distance apart throughout their entire length. The area of a rectangle is given by the formula A = lw, where l = length and w= width.
Now,
As √AEB=60°, and Side AE is equal to EB
and also angles opposite to equal sides are equal.
Then, ΔAEB is a equilateral triangle.
so, AB=8
Now
area of rectangle=length*breadth
Length=8 and breadth=BC=7
Area=8*7
A=56 unit²
Hence,
The area of the given rectangle ABCD is 56 Unit².
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How do I covert between VOLUME units??
We will convert between volume units by multiplication or division process depending on the standard metric units.
What is unit conversion?
Unit conversion is done either by multiplication or division process between numerical values. There are some standard metric units. By following the standard, we can convert one unit to another. As example we have a box that is 2 square feet area, now we want to know the area in inches. So, we will multiply it by 144 to convert in square inches.
How do we convert between volume units?
We convert between volume units either by multiplication or division process depending on the standard unit. If we find a volume in liter and we can convert it in cubic meter by multiplying the number by 0.001. Assume, we measured a volume in cubic feet, but someone want to know this volume in cubic meter that time we divide this value by 35.32 to convert in required unit.
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Question in picture solve
Answer:
Bike 1
Step-by-step explanation:
If you look at the graph, you'll see that Bike 1 went 9 feet but Bike 2 is at about 7.5 feet in 6 seconds.