Answer:
1 + 492008 = 492009
Step-by-step explanation:
OR
200009 + 292000 = 492009
PLEASE HELP! WILL MARK BRAINLIEST!
Name three collinear points.
D
А
B)
N
OS
OD
ON
ОА
ОС
DB
answer _------Three or more points , , , ..., are said to be collinear if they lie on a single straight line. .
a regular polygon has n sides Each exterior angle is 5n/2 degrees find the value of n.
Answer:
12
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
Since there are n sides and each exterior angle = [tex]\frac{5n}{2}[/tex] , then
n × [tex]\frac{5n}{2}[/tex] = 360 ( multiply both sides by 2 to clear the fraction )
5n² = 720 ( divide both sides by 5 )
n² = 144 ( take the square root of both sides )
n = [tex]\sqrt{144}[/tex] = 12
The polygon has 12 sides
How much t-shirts does the business man need to sell in order to break even or make a profit
On a coordinate plane, 4 points are plotted. Point A is on the y-axis, Point B is at the origin, Point C is at (1, 2), and point D is on the x-axis. Which statements are true? Select all that apply. C is on the y-axis. B is on the y-axis. D is at the origin. B is at the origin. D is on the x-axis. A is on the x-axis.
Answer:
B is at the origin. D is on the x-axis.
Step-by-step explanation:
For a point to be at the origin, it lies at the intersection of both the x- axis and the y - axis. Both axes intersect at the origin. So, point B is at the origin.
For a point to be on the x - axis, its coordinate on the y- axis is zero. So, for a point on the x- axis with coordinate, x, it is the point (x,0) and it lies on the x axis. So, point D is on the x - axis.
For a point to be on the y - axis, its coordinate on the x - axis is zero. So, for a point on the y- axis with coordinate, y, it is the point (0,y) and it lies on the x axis. So, point A is on the y - axis.
The point C which is at (1,2) lies in the plane x-y since it has both x and y coordinates.
The correct option is B is at the origin. D is on the x-axis.
The following information should be considered:
For a point to be at the origin, it lies at the intersection of both the x- axis and the y - axis. Both axes intersect at the origin. So, point B is at the origin.
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a right circular cylinder with radius 2 is inscribed in a hemisphere with radius 5 so that its bases are parallel to the base of the hemisphere. what is the height of this cylinder?
Answer:
Step-by-step explanation:
We can use the Pythagorean Theorem to find the height of the cylinder
We have
height = √ [ 5^2 - 2^2 ] = √[25 - 4] = √21 units
Question 1 (20%) (a) If Matrix A and B are orthogonal, determine whether the following are orthogonal or not. Give full justifications for your answer. (i) AT, (ii) B-¹, (iii) B-¹ A B. (b) Consider the transformation f: R² → R³ given by f(x, y) = (x+2y, x − y, −2x+3y). Show that f is a linear transformation. Find a matrix form of this transformation.
In part (a) of Question 1, we are asked to determine whether certain matrices are orthogonal or not, given that matrices A and B are orthogonal. We need to justify our answers. Specifically, we need to determine if AT (transpose of A), B-¹ (inverse of B), and B-¹AB are orthogonal matrices.
In part (b), we are given a transformation f from R² to R³ and asked to show that it is a linear transformation. Additionally, we need to find a matrix representation of this transformation.
(a) To determine if AT, B-¹, and B-¹AB are orthogonal matrices, we need to recall the properties of orthogonal matrices. An orthogonal matrix is a square matrix whose transpose is equal to its inverse.
(i) For AT, since A is orthogonal, we know that AAT = I, where I is the identity matrix. Taking the transpose of both sides, we have (AAT)T = IT, which simplifies to ATA = I. Therefore, AT is also orthogonal.
(ii) For B-¹, if B is orthogonal, then BB-¹ = I. Taking the transpose of both sides, we have (BB-¹)T = IT, which simplifies to (B-¹)TBT = I. Therefore, B-¹ is orthogonal.
(iii) For B-¹AB, we can rewrite it as (B-¹A)B. Since A and B are orthogonal matrices, B-¹A is also orthogonal. Multiplying an orthogonal matrix (B-¹A) by another orthogonal matrix (B) results in another orthogonal matrix. Therefore, B-¹AB is orthogonal.
(b) To show that f is a linear transformation, we need to verify two properties: additivity and homogeneity.
Additivity: f(u + v) = f(u) + f(v) for any vectors u and v in R².
Let u = (x₁, y₁) and v = (x₂, y₂). Then f(u) = (x₁ + 2y₁, x₁ - y₁, -2x₁ + 3y₁) and f(v) = (x₂ + 2y₂, x₂ - y₂, -2x₂ + 3y₂). Adding these two vectors, we get f(u + v) = (x₁ + x₂ + 2(y₁ + y₂), x₁ + x₂ - (y₁ + y₂), -2(x₁ + x₂) + 3(y₁ + y₂)). By comparing f(u + v) with f(u) + f(v), we see that they are equal. Hence, f satisfies additivity.
Homogeneity: f(cu) = cf(u) for any scalar c and vector u in R².
Let u = (x, y). Then f(u) = (x + 2y, x - y, -2x + 3y). Multiplying this vector by scalar c, we get f(cu) = (cx + 2cy, cx - cy, -2cx + 3cy). By comparing f(cu) with cf(u), we see that they are equal. Hence, f satisfies homogeneity.
To find the matrix representation of f, we can write the coordinates of f(u) as a linear combination of the standard basis vectors in R³:
f(u) = x(1, 1, -2) + y(2, -1, 3)
The matrix representation of f is then:
[1 2]
[1 -1]
[-2 3]
This matrix can be used to perform vector operations on u directly.
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Helpppo:)))))) pleaseeee
Answer:
32
Step-by-step explanation:
Step 1: Define
f(x) = 3x² - 5x - 4
g(x) = -4x - 12
Step 2: Find f(g(x))
f(g(x)) = 3(-4x - 12)² - 5(-4x - 12) - 4
f(g(x)) = 3(16x² + 96x + 144) + 20x + 60 + 4
f(g(x)) = 48x² + 288x + 432 + 20x + 64
f(g(x)) = 48x² + 308x + 496
Step 3: Find f(g(-4))
f(g(-4)) = 48(-4)² + 308(-4) + 496
f(g(-4)) = 48(16) - 1232 + 496
f(g(-4)) = 768 - 736
f(g(-4)) = 32
Someone help. Will give brainliest
Answer:
Step-by-step explanation:
3/4 is 0.75 and 1 1/2 is 1.5
plot the numbers:
1.1, 3/4 , -0.9 , -1, 1 1/2 ( the line is not up to scale)
_|_______|__|_______|_____|___|__|_____|____|_
-2 -1 -0.9 0 3/4 1 1.1 1 1/2 2
the number the least is -1
the number greatest 1 1/2
the correct order from least to greatest is
-1 , -0.9 , 3/4 , 1.1 , 1 1/2
x2-5x+10=0 is it quadratic equation? how can i identify the value of a,b,c? help
Did I do this right?
Which of the following is NOT the guideline of color usage in a chart? A. Use minimum number of colors. B. Use contrasting colors to show inherently similar variables. C. Consider the color-blind. D. Use black or gray in text, labels, and other marks that are not conveying the data information.
The guideline of color usage in a chart that is NOT correct is D. "Use black or gray in text, labels, and other marks that are not conveying the data information." The use of black or gray in text, labels, and other non-data elements is actually a common practice in data visualization.
This guideline ensures that the data-related elements stand out and are easily distinguishable from the auxiliary information. By using black or gray for non-data elements, the focus is directed towards the actual data points, making them more prominent and easier to interpret. On the other hand, guidelines A, B, and C are all valid principles of color usage in charts. Using a minimum number of colors helps to avoid visual clutter and confusion. Contrasting colors are important to differentiate inherently similar variables and make them visually distinguishable. Considering color-blind individuals is essential to ensure that the chart can be interpreted accurately by a wider audience. Therefore, option D is the one that does not align with the recommended guidelines for color usage in charts.
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Dapper Dan's Dancing School charges $85 for enrollment plus $6 per class, whereas Leaping Larry's Dancing School charges $40 for how many classes will leaping larry’s dancing school be more expensive
enrollment plus $12 per class. For how many classes will Leaping Larry's Dancing School be more expensive?
Answer:
The Leaping Larry's Dancing School will be more expensive for a number of classes above 7.5 or equal to and above 8 classes
Step-by-step explanation:
The given information are;
The amount Dapper Dan's Dancing School charges for enrollment = $85
The amount Dapper Dan's Dancing School charges per class = $6
The amount Leaping Larry's Dancing School charges for enrollment = $40
The amount Leaping Larry's Dancing School charges per class = $12
Therefore, we have for X number of classes, when the cost of Dapper Dan's Dancing School and Leaping Larry's Dancing School are equal
$85 + X × $6 = $40 + X × $12
$85 - $40 = X × $12 - X × $6
$45 = X × $6
X = $45/$6 = 7.5
From which we have at X = 7.5 classes, the cost of the two dancing schools will be equal
However below 7.5 classes, for 7 classes for example, we have;
Cost of Dapper Dan's Dancing School = $85 + 7 × $6 = $127
Cost of Leaping Larry's Dancing School = $40 + 7 × $12 = $124
Therefore, for the number of classes below 7.5, Dapper Dan's Dancing School is more expensive than Leaping Larry's Dancing School
Above 7.5 classes, for 8 classes for example, we have;
Cost of Dapper Dan's Dancing School = $85 + 8 × $6 = $133
Cost of Leaping Larry's Dancing School = $40 + 8 × $12 = $136
Therefore, for the number of classes below 7.5, Dapper Dan's Dancing School is less expensive than Leaping Larry's Dancing School
Therefore, Leaping Larry's Dancing School will be more expensive for a number of classes above 7.5 or equal to and above 8 classes.
2x+10=3x-9 solve for x
Answer:
19 = x :)
Step-by-step explanation:
(see attachment for explanation)
The Wallace family split a 17¾ pound bag of dog food between their three dogs. How much dog food does each dog receive?
Answer:
about 9.92 each
Step-by-step explanation:
17.75÷3= 9.91666666666.... I rounded to get 9.92.
Solve the quadratic equation x(x+1)=8-x. Write your answer as a whole number or fraction
Answer:
x=-4 or 2
Step-by-step explanation:
x(x+1)=8-x
x^2+x=8-x
x^2+2x-8=0
x^2+4x-2x-8=0
x(x+4)-2(x+4)
(x-2)(x+4)=0
x-2=0
x=2
or
x+4=0
x=-4
Nikki and Tara want to go to the state fair in Columbia. They are going to take Nikki's car but they need to fill it up with enough gas to get them there and back before they leave. It is 236 miles round trip. If the car gets 18 miles per gallon, how many gallons of gas do they need?
Answer:
they need 13 gallons of gas
Step-by-step explanation:
What is the value of the expression below when x = 3 and y = 8 , 6x + 10y ? Please answer !!!!! Will mark brainliest !!!!!!!!!!!!
A Buggatti can reach a top speed of 300 mph. At this rate, how many more hours would it take for the bugatti to travel 1500 miles if they have already traveled 600 miles?
Subtract miles traveled from total miles:
1500 - 600 = 900 more miles to go
Divide miles to go by speed:
900 / 300 = 3 hours
3 more hours
Answer:
3 more hours
Step-by-step explanation:
. Office productivity is relatively low when the employees feel no stress about their work or job security. However, high levels of stress can also lead to reduced employee productivity. Sketch a plot to represent the relationship between stress and productivity.
Answer:
Step-by-step explanation:
The plot chart below best represents the relationship between stress and productivity in the workplace. As seen in the chart both high and low levels of stress equate to very low productivity levels for employees in the workplace. While just enough stress creates very productive employees. This tends to be because employees are worried about the possibility of losing their jobs so they work hard in order to keep the job but are not so worried that they think it will happen tomorrow and become burned out.
There are 3 pink marbles, 5 orange marbles, and 8 blue marbles. What is the ratio of blue marbles to the total amount of marbles? Make sure your ratio is in simplest form. *
Answer:
1:2
Step-by-step explanation:
The total number of marbles is
3+5+8 = 16
blue : total
8 : 16
Divide each side by 8
8/8 : 16/8
1:2
Answer:
1:2
Step-by-step explanation:
There are 16 marbles in total. 3+5+8=16
8 of them are blue so it is 8:16 simplify 1:2
help pls im strugglin
66 is the correct answer
please someone help for geometry !
Answer:
1st one
Step-by-step explanation:
Rotation: Turn
Clockwise: The direction a clock turns, right.
2, 3, and 4 are not correct because 2 is a translation, or a slide. 3 includes more than one rigid transformations, and 4 is a reflection.
When you turn bottom left triangle one more time to the right, it will fit into the top left triangle. There is no need to reflect or translate the shape.
Evaluate 5/8 × 7/15 Give your answer in its simplest form.
Answer:
The answer to your question is 7/24. 7/24 is in simplest form.
Hope this helps, have a nice day, have a wonderful weekend and stay safe!
Also Happy Halloween! :) :D :3
En una escuela se organiza una campaña para recolectar botellas plásticas vacías. Uno de los padres de familia ofrece llevar cajas para acopiar las botellas; si en cada caja entran 12 botellas, ¿cuántas cajas debe llevar el padre de familia para guardar 72 botellas recolectadas?
Responder:
6 cajas
Explicación paso a paso:
Dado que las cajas se traen para recoger cajas:
12 botellas caben en cada caja;
Por lo tanto,
1 caja = 12 botellas
Número de cajas necesarias para 72 botellas;
Sea número de cajas = b
1 caja = 12 botellas
b = 72 botellas
Multiplicar en cruz:
12 * b = 72 * 1
12b = 72
b = 6
Número de cajas = 6
100 square feet of denim for $18.50 OR 150 square feet of denim for $26.75
Answer:
150 for 26.75
Step-by-step explanation:
26.75/150 is .178
18.5/100 is .185
Jed is baking shortbread for a bake sale. The recipe calls for 1 1 4 cups of flour and 1 2 stick of butter. How many cups of flour will Jed need if he uses 3 sticks of butter?
15/2 cups of flour!
Sierra is getting her car fixed at a mechanics. The total cost after tax is represented by 0.065(30h) + 30h, where h represents the number of hours it takes to repair the car. What part of the expression represents the amount of money she will have to pay in tax? Explain.
Given :
Sierra is getting her car fixed at a mechanics. The total cost after tax is represented by 0.065(30h) + 30h, where h represents the number of hours it takes to repair the car.
To Find :
What part of the expression represents the amount of money she will have to pay in tax.
Solution :
Total cost , T = 30h( 1 + 0.065)
T = 30h + 30h(0.065)
T = (30h) + (30h )× 6.5 %
Here, 30h is the cost of repairing the car.
Other part shows the tax she have to pay which is 6.5% of the total amount.
Hence, this is the required solution.
Greatest common factor of 66 and 77, will mark brainlist to the first 1 who gets it right
Answer:
D (11)
Step-by-step explanation:
77 / 11 = 7
66/11 = 6
Answer:
the factors and prime factorization of 66 and 77. The biggest common factor number is the GCF number. So the greatest common factor 66 and 77 is 11.
Step-by-step explanation:
In the diagram, mAngleFLI is 106°, mAngleFLG = (2x – 1)°,
mAngleGLH = (x + 17)°, and mAngleHLI = (4x – 15)°.What is the measure of the smallest angle in the diagram?
15°
29°
32°
45°
Answer:
29o
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
edge 2020
