Which of the following numbers is divisible by 11?

Answer:

29o

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

edge 2020

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

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.

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:

answer _------Three or more points , , , ..., are said to be collinear if they lie on a single straight line. .

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:

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

The radio station gives away a total of $315.79 during the contest.

In the first day of the contest, the radio station gives a prize of $300 to the first listener who answers the trivia question correctly. The amount of the prize decreases by 5% for each day that passes. We are required to find the total amount of prize money the radio station gives away during the contest.Let X be the total amount of prize money given away during the contest. Then we can write the following equation:X = $300 + $285 + $270.75 + $257.21 + …After solving this infinite geometric series, we can find the total amount of prize money that the radio station gives away during the contest.X = a1 / (1 - r), where a1 is the first term and r is the common ratio.Substituting the values of a1 and r, we get:X = $300 / (1 - 0.05) = $300 / 0.95 = $315.79 (rounded to two decimal places)

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Answer:

150 for 26.75

Step-by-step explanation:

26.75/150 is .178

18.5/100 is .185

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

66 is the correct answer

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.

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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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

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.

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

Answer:

about 9.92 each

Step-by-step explanation:

17.75÷3= 9.91666666666.... I rounded to get 9.92.

Answer:

19 = x :)

Step-by-step explanation:

(see attachment for explanation)

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

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  

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.

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

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:

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Answer:

they need 13 gallons of gas

Step-by-step explanation:

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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