12x-4
————
2

Simplify

a. triangle P been rotated by 90 degree in anticlockwise direction

b. triangle P been rotated by 270 degree in clockwise direction

What is angle of rotation ?

In mathematics, the angle of rotation is a measurement of the amount, of namely angle, that a figure is rotated about a fixed point, often the center of a circle.

a. if we rotate the triangle P at 90 degree, from point O at anticlockwise direction, we get triangle Q

b. if we rotate triangle P at 270 degree from point O at clockwise direction, we get triangle Q

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Answer:

2.16

Step-by-step explanation:

if I understand the description correctly:

3.5*x / 9 = 4.2 / 5

3.5x = 4.2*9 / 5

x = 4.2*9 / 5*3.5

x=2.16

Answer:

6 thousands + 4 hundreds

4727>6400

Step-by-step explanation:

4727<6400

Answer:

18/20 * 17/19 ≈ 0.805263158

Step-by-step explanation:

18/20 for the first chocolate not to be coco cream

then, the number of non-coco ones is lowered by 1 and the number of total too, so

17/19 for the second chocolate not to be coco cream

The chance that neither of the 2 chocolates is coconut cream is 18/20*17/19 ≈ 0.805263158

The volume is 3105 and the surface area is 1742

The given parameters are

Length = 27 yards

Width = 23 yards

Height = 5 yards

The volume is

Volume = Length * width * height

So, we have

Volume = 27 * 23 * 5

Evaluate

Volume = 3105

The surface area is

A =2 *(LW + LH + WHW)

So, we have

A = 2 * (27 * 23 + 27 * 5 + 23 * 5)

Evaluate

A = 1742

Hence, the volume is 3105 and the surface area is 1742

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Answer: i think the overall shape of a baseball bat would be more rectangular

Step-by-step explanation:

reason for thinking so: because a baseball bat depending on size, would normally fit into a rectangular box

Answer: 43 ==> C

Step-by-step explanation:

3w − 11=

3(18)-11=

54-11=43 ==> C

Answer:

c, 43

Step-by-step explanation:

3 times 18, minus 11

Hi!

#1: Sarah would have $3 left.

#2:

10-2=8

14-6=8

15-9=6

17-6=11

13-5=8

11-8=3

20-8=12

16-7=9

12-9=3

12 – 9 = 3

21 – 9 = 12

11 – 6 = 5

5 – 5 = 0

4 – 0 = 4

16 – 8 = 8

10 – 5 = 5

18 – 7 = 11

13 – 8 = 5

12 – 4 = 8

#3:

a. 6,321 – 4,879 = 1,442

b. 451 – 275 = 176

c. 15,278 – 6,327 = 8,951

d. 23,000 – 14,995 = 8,005

e. 54 – 19 = 35

#4

a. How many kilowatt hours of electricity did the Smiths use during February?

They used 19,423 (I believe)

b. How many kilowatt hours did they use during March?

They Used 865

#5:

Last year, Terry earned $19,436. This year, Terry got a raise that increased her income to $23,457.

a. How much more money did Terry make this year?

39,893 (I believe)

b. If Terry gets the same raise again next year, what will her total income be then?

63,350 ( i believe)

#6: 5,972 Ft taller

#7: 59 words.

#8:

a. 769 – 362 = 407

b. 502 + 17 = 519

c. 7,802 – 3,461 = 4,341

d. 1,432 + 2,568 = 4,000

Answer:

Hello,

Step-by-step explanation:

4)

[tex]u_n=1+3*n\\u_{12}=1+3*12=37\\[/tex]

5)

[tex]u_n=-14+4*n=\\u_{10}=-14+4*10=26\\[/tex]

6)

[tex]u_n=\dfrac{5}{3} +\dfrac{n}{3} \\\\u_{16}=\dfrac{5}{3} +\dfrac{16}{3} =\dfrac{21}{3} =7[/tex]

Answer:

The first graph.

Hope this helps :)

Step-by-step explanation:

The y-intercept in the equation y = x^2 - 1 is -1.

So the first graph represents the point where the line intercepts the y-axis which is at - 1.

The y-intercept for the second graph is not - 1.

So the first graph would be correct for the equation

So the first graph would be correct for the equation y = x^2 - 1

We can conclude that the equation 36x + 9 equals -1/4.

So,

Therefore, we can conclude that the equation 36x + 9 equals -1/4.

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Answer:

40.56

Step-by-step explanation:

:)

The value in fig 4 x = 18.7 and γ = 12.72 . The value in fig 5 x = 10 and γ = 40 .

In figure 4 .

Solving linear equation in two variable

10 γ + 4 x - 22 = 180

3 γ + 11 + 7 x + 4 = 180

10 γ + 4 x = 202     ... eq 1

3 γ + 7 x = 169       ... eq 2

mult. ... eq 1 by - 3 and ... eq 2 by 10 .

- 30 γ - 12 x = - 606

30 γ + 70 x = 1690

Adding above 2 eqns

58 x = 1084

x = 18.7

γ = 12.72

Measurement of angles : 127.2 degrees , 52.8 degrees 134.9 degrees , 49.16 degrees .

In fig . 5

4 x + 13 x + 10 = 180

17 x = 170

x = 10

2 ( γ + 25 ) + 2 γ - 30 = 180

4 γ + 20 = 180

4 γ = 160

γ = 40

Measurement of angles are 130 degrees , 50 degrees , 130 degrees , 50 degrees  .

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Answer:

C.

Step-by-step explanation:

[tex]3 \div 10 = 0.3 < 0.4[/tex]

Answer:

C

Step-by-step explanation:

All work and the answer is provided in the attached screenshot! :)

Answer: 24 seconds

Step-by-step explanation:

20/50=0.4

0.4*60=24

Domain: (-∞,∞) {x,x∈R }

Range: [0,∞)

Solution :

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation

Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers. For example, the set of numbers x satisfying 0 ≤ x ≤ 5 is an interval that contains 0, 5, and all numbers between 0 and 5.

Different Types Of Intervals

Intervals can be classified based on the numbers the set comprises. Some sets include the endpoints specified in the notation, while some might partially or not include the endpoints. In general, there are three types of intervals given as,

Open Interval

Closed Interval

Half-Open Interval

Let us understand the interval notation and different types of intervals in detail using solved examples.

Interval Notation:

y = |x4|

(−∞,∞)

Set-Builder Notation:

{x|x∈R}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

[0,∞)

Set-Builder Notation:

{y|y≥0}

Determine the domain and range.

Domain:

(−∞,∞),{x|x∈R}

Range:

[0,∞) , {y|y≥0}

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The value of the given expression is  -121/ 30.

PEMDAS stands for parentheses, exponents, multiplication, division, addition, then subtraction. It is basically the rule of the order in which a mathematical expression must be solved.

Here, we are given an expression- -2/3 (1.5 ÷ 0.25 ÷ 5/4) -5/6

It can be written as -2/3 (15/10 ÷ 25/ 100 ÷ 5/4) -5/6

= -2/3 (3/2 ÷  1/4 ÷ 5/4) -5/6

As per the rules of PEMDAS, we first deal with the terms inside the bracket-

(3/2 ÷  1/4 ÷ 5/4) = (3/2 × 4 × 4/5)

= (3 × 2 × 4/5)

= 24/5

Thus, the expression becomes-

-2/3 (24/5) -5/6

= -48/ 15 - 5/6

LCM of 15 and 6 is 60

⇒ -(48 × 4)/ 60 - (5 × 10)/ 60

-192/ 60 - 50/ 60

= (-192 - 50)/ 60

= -242/ 60

= -121/ 30

Thus, the value of the given expression is  -121/ 30.

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Answer:

C. Left 7

Step-by-step explanation:

The question asks us about the number of units the x-coordinates of the parallelogram moved, therefore we have to look for the horizontal translation of the points A, B, C, and D.

To do this, we can look at the position of any of these points and the position of its corresponding point, to figure out how many units to the left or right they have moved.

For example, let's look at A and A':

To go from A to A', we have to move 7 units to the left.

It's the same for B and B' as well as the other points and their corresponding points.

Therefore the x-coordinates of parallelogram ABCD have moved 7 units to the left.

Answer:

77

Step-by-step explanation:

Answer:

Hello. The domain is (-5, 5), which translates to option D.

-5 ≤ x ≤ 5

The economic value added (EVA) for Home Depot in the fiscal year, 2017, is $6,463.60 million.

Economic value added (EVA) measures a company's financial performance or economic profit.

EVA is based on the residual wealth of the company for the fiscal year. It measures the value a company generates from its invested funds at the cost of capital.

EVA is calculated by deducting the cost of capital from the operating profit after tax (NOPAT).

2017 total capitalization = $21,904 million

2017 interest paid to debt investors = $877 million

Net income to shareholders = $8,654 million

Corporate tax rate = 21%

Profit before taxes = $10,954 million ($8,654/ 1 - 0.21)

Cost of capital = 10%

= $2,190.4 million ($21,904 x 10%)

EVA = NOPAT - (Invested Capital * WACC)

= $8,654 million - $2,190.4 million

= $6,463.60 million.

Thus, the economic value added (EVA) for Home Depot in the fiscal year, 2017, is $6,463.60 million.

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Answer:

M would be at (0,-2)

Step-by-step explanation:

The question asks you to rotate the image 180 degrees clockwise. Clockwise means towards the right, such as how a clock moves. Each axis is 90 degrees, so by moving it twice would land at (0,-2).

A horizontal line (such as the x-axis) is 180 degrees, so by mirroring the point, you would see the point is at (0,-2).

Answer:

Graphed it for you!

Step-by-step explanation:

Answer:

Where is the diagram?

Step-by-step explanation:

Answer:

If your looking for the value it’s 129

(9-7)^3=8

5^0 + (8+3)^2=122

Step-by-step explanation:

The percentage of 0 - 17 in 2015 is 23.97% and the percentage is decreasing by 0.048% in 2015

The equation of the function is given as

P(x) = 26x^-0.03

In 2015, x = 15

Substitute x = 15 in the equation P(x) = 26x^-0.03

P(15) = 26 * 15^-0.03

Evaluate the expression

P(15) = 23.97

Hence, the percentage of 0 - 17 in 2015 is 23.97%

The equation of the function is given as

P(x) = 26x^-0.03

Differentiate the function

P'(x) = -0.03 * 26x^-1.03

In 2015, x = 15

Substitute x = 15 in the equation

P'(15) = -0.03 * 26 * 15^-1.03

Evaluate

P'(15) = -0.048

Hence, the percentage is decreasing by 0.048% in 2015

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