As part of maintenance, you need to replace a cross tie for a wooden roller coaster. You have a board that is 2.5 meters long, but a cross tie should be 1.5 meters long. Without a ruler or measuring tape, how would you know where to cut the board so that the cross tie is the correct length?

Answer:KIH=18

Step-by-step explanation:

4x+3+4x+3=12x

X=1.5

4(1.5)+3=9

4(1.5)+3=9

12(1.5)=18

y = 7/2x represents the relation that is shown in the graph.

Here the line goes through points (0, 0), (1, 3.5), (2, 7).

This means that these points must satisfy the equation of the line.

Let us, check each equation one by one

A. y = x + 2/7

Here if we take x = 0,

y = 0 + 2/7

y = 2/7

Thus, (0,0) does not satisfy and hence, we eliminate this option.

B. y = x + 7/2

Here if x = 0

y = 7/2

Thus, again (0,0) does not satisfy and hence, we eliminate this option.

C. y = 2/7 x

Here, if x = 0

y = 0

Hence, (0,0) satisfies.

if x = 1

y = 2/7

or y = 0.28

Thus, (1, 1.35) does not satisfy and hence, we eliminate this option.

D. y = 7/2x

Here, if x = 0

y = 0

Hence, (0,0) satisfies.

if x = 1

y = 7/2

or y = 3.5

Hence, (1, 1.35) satisfies.

if x = 2

y = (7/2)(2)

y = 7

Hence, (2, 7) also satisfies.

Thus, y = 7/2x represents the relation that is shown in the graph.

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Which equation represents the relation that is shown in the graph?

Cost of Buying Comic Books. On a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7).

y = x + 2/7

y = x + 7/2

y = 2/7 x

y = 7/2x

Answer:

1.  -10x+36

2.  24x+121

3.  2x-8xy+32y

4.  50x-10xy+y^2

Step-by-step explanation:

i think dis right

Answer:

see explanation

Step-by-step explanation:

using the following expansions

a² + 2ab + b² = (a + b)²

a² - 2ab + b² = (a - b)²

1

x² - 12x + 36

with a = x and b = 6 , then

x² - 12x + 36 = x² - 2(x)(6) + 6² = (x - 6)²

2

x² + 22x + 121

with a = x and b = 11 , then

x² + 22x + 121 = x² + 2(x)(11) + 11² = (x + 11)²

3

x² - 8xy + 16y²

with a = x and b = 4y , then

x² - 8xy + 16y² = x² - 2(x)(4y) + 16y² = (x - 4y)²

4

25x² - 10xy + y²

with a = 5x and b = y , then

25x² - 10xy + y² = 25x² - 2(5x)(y) + y² = (5x - y)²

El precio unitario del terreno rectangular es $ 32 por cada metro cuadrado.

Tenemos un terreno rectangular con dimensiones y costo total conocido. El área de un rectángulo (A), en metros cuadrados, es igual al producto de su largura (l), en metros, y su anchura (a), en metros, cuya fórmula se presenta a continuación:

A = a · l

El precio del metro cuadrado se obtiene dividiendo el precio del terreno por su área:

A = (17.50 m) · (15.60 m)

A = 273 m²

c = C / A

c = 8736 / 273

c = $ 32 / m²

El precio unitario del terreno rectangular es $ 32 por cada metro cuadrado.

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Angle 5 = 180 - 146 = 34

Angle 6 = 146 since vertical angles are congruent

Angle 7 = 34 since vertical angles are congruent, or you could say 180-146 = 34 again. Any pair of adjacent angles add to 180. All four angles add to 360.

She make 5 apple pie and 2 peach pie.

In the given statement is:

Bonnie made 7 pies. there were 6 slices in each apple pie and 7 slices in each peach pie. if Bonnie made 44 slices of pie in total.

To find the how many of each pie did she make

Now, According to the question :

Let start the solution

Total number of slices made by Bonnie is 44

Let Number of apple pies be x

and, number of peach pies is (7 - x) ............(1)

Pieces of an apple pie is 6x

Pieces of peach pie = 7 (7 - x)

Calculation

6x + 7(7 - x) = 44

6x + 49 -7x = 44

-x = 44 - 49

-x = -5

x = 5

Put the value of x in equation (1)

7 - x = 7 - 5 = 2

She make 5 apple pie and 2 peach pie.

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Answer:

x = 14    y = 59

Step-by-step explanation:

the angle (5x - 11) is equal to the angle (3x + 17) and 3x+ 17 is equal to y

5x - 11 = 3x + 17

5x - 3x = 17 + 11

2x = 28

x = 28/2

x = 14

3x+17 = y

3(14) + 17 = y

y = 59

Step-by-step explanation:

Fact 1: Alternate angles are equal.

Angles, (5x-11)° and (3x+17)° are ALTERNATE angles and so,

(5x-11)° = (3x+17)°

5x - 3x = 17 + 11

2x = 28

x = 28 ÷ 2

x = 14

NB: x does NOT have the degree sign because it's NOT an angle on its own, but rather within the bracket/part of the calculation to get the angle degree.

Fact 2: Opposite angles are equal.

Y° and (3x+17)° are OPPOSITE angles

y = (3x+17)°

y = (3x14) + 17

y= 42 + 17

y = 59°

Hope this helps!

Answer: I think its 4

Step-by-step explanation: because 4+9=13

1) This is an arithmetic sequence and the complete sequence is;

5, 10, 15, 0, 25, 30, 35,....

2)This is a geometric sequence and the complete sequence is given as;

20, 10, 5, 2.5, 1.25, .....

3) This is an arithmetic sequence and the complete sequence is given as; 2, 5, 8, 11, 14, 17, .....

4) This is an arithmetic sequence and the complete sequence is given as; 30, 24, 18, 12, 6,.....

1) The sequence is given as;

5, 10, 15, ___, 25, 30, _____

This is an arithmetic sequence with the formula;

a_n = 5 + (n - 1)d

In this case, the common difference is;

d = 10 - 5 = 5

The complete sequence is;

5, 10, 15, 0, 25, 30, 35,....

2)The sequence is given as;

20, 10, ___, 2.5,  _____, .....

This is an geometric sequence with the formula;

a_n = 20r^(n - 1)

In this case, the common ratio is;

r = 10/20 = 1/2

The complete sequence is given as;

20, 10, 5, 2.5, 1.25, .....

3)The sequence is given as;

2, 5, 8, ___, 14,  _____, .....

This is an arithmetic sequence with the formula;

a_n = 2(n - 1)d

In this case, the common difference is;

d = 5 - 2 = 3

The complete sequence is given as;

2, 5, 8, 11, 14, 17, .....

4) The sequence is given as;

30, 24, ___, 12, 6,.....

This is an arithmetic sequence with the formula;

a_n = 30(n - 1)d

In this case, the common difference is;

d = 24 - 30 = -6

The complete sequence is given as;

30, 24, 18, 12, 6,.....

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The possible coordinates of point l are (7,3),(7,-13),(-5,3),(-5,-13),(9,1),(9,-11),(-7,1), and (-7,-11).

Given that:-

Coordinates of k = (1,-5)

Distance between point k and point l = 10 units.

We have to find the coordinates of point l.

Let the coordinates of point l be (x,y).

By using distance formula, we can write:-

[tex]\sqrt{(x-1)^2+(y+5)^2} =10[/tex]

Squaring on both sides, we get:-

[tex](x-1)^2+(y+5)^2=100[/tex]

For, integer coordinates, the possibilities are 36+ 64 or 64+36.

Hence, we can write,

[tex](x-1)^2+(y+5)^2 = 36 + 64 \\or\\(x-1)^2+(y+5)^2 = 64 + 36[/tex]

Hence,

[tex](x-1)^2 = 36[/tex]

x - 1 = 6 or x -1 = -6

x = 7 , -5

[tex](y+5)^2 =64[/tex]

y + 5 = 8 or y + 5 = -8

y = 3,-13

or

[tex](x-1)^2=64[/tex]

x - 1 = 8 or x - 1 = -8

x = 9,-7

[tex](y+5)^2[/tex]

y + 5 = 6 or y + 5 = -6

y = 1,-11

Hence, the possible values of coordinates of point l are (7,3),(7,-13),(-5,3),(-5,-13),(9,1),(9,-11),(-7,1), and (-7,-11).

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Answer:

f(- 2) = 7

Step-by-step explanation:

assuming you mean find f(- 2)

substitute x = - 2 into f(m)

f(- 2) = 3(- 2)² - 5 = 3(4) - 5 = 12 - 5 = 7

Answer:

7

Step-by-step explanation:

Plug in -2 for m:

f(m)=3(-2)^2-5

Simplify:

(-2)^2 or (-2)(-2)=4

f(m)=3(4)-5

3x4=12

f(m)=12-5

f(m)=7

The values of the functions are:

a. When x =-4 then f(x) =  -x+4

b. When x = -2 then f(x) =  -x+4

c. When x = -1 then f(x) =  -x+4

d. When x=1/2 then f(x) = 3

e. When x = 2 then f(x) =  2x-5

Given, g(x) = {-x+4 , if x≤-1

                      3 ,   if -1≤x<2

                      2x-5, if x≥2 }

a. when x = -4, f(x) = ?

-4 comes under the condition x≤-1.

therefore, when x=-4 ⇒ f(x) = -x+4

f(-4) = -4+4 = 0

b. when x=-2, f(x)= ?

Again -2 comes under the condition if x≤-1

therefore when x=-2 ⇒ f(x) = -x+4

f(-2) = -2+4 = 2

c. when x=-1, f(x) = ?

-1 comes under the condition if x≤-1

therefore, when x=-1 then f(x) = -x+4

f(-1) = -1+4 = 3

d. when x=1/2 , f(x) = ?

1/2 comes under the condition, if -1≤x<2

therefore, when x=1/2 then f(x) = 3.

e. when x=2, f(x) = ?

2 comes under the condition, if x≥2

therefore, when x=2 then f(x)= 2x-5.

hence we get the required results of the given functions.

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Answer:

1. 15          2. 30

Step-by-step explanation:

1. (2/5)x = 20

20/(2/5) = x

x = 50

50 × (3/10) = 15

2.  (2/3)y = 24

24/(2/3) = y

y = 36

36 × (5/6) = 30

Answer: By having the arrow going to the left of the number line

Step-by-step explanation:

When subtracting, you always go to the left of the number line. Just like how you go to the right when adding. also having the line going from 5 to 1.

Answer:

B

Step-by-step explanation:

Answer B is the result of simplifying

Answer:

1

Step-by-step explanation:

When you simplify, the answer is 1.

Answer:

1

Step-by-step explanation:

From the rule for when a relation represents a function, we have that:

16) Is not a function.

17) Is a function.

18) Is not a function.

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

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The solution set of the equation is: x = -3, x = 3.

Given the equation, x² + 12 = 21, the solution set is the possible value of x that will make the equation true. To find the values of x, do the following as shown below:

x² + 12 = 21

Subtract 21 from both sides of the equation

x² + 12 - 21 = 21 - 21

x² + 12 - 21 = 0

x² - 9 = 0

Find the difference of the two squares

(x + 3)(x - 3) = 0

x = -3

x = 3

Therefore, the solution set of the equation is: x = -3, x = 3.

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3000 ÷ 40 =

75 ⇐ Quotient

――――

40)3000 ⇐ Dividend

280

---

200

200

3000 divided by 40 is equal to quotient of 75 with no remainder.

To perform long division for 3000 divided by 40, Set up the long division format.

Determine how many times 40 can go into the leftmost digit of 3000 (which is 3).

The answer is 75. Write 75 on top of the division bar.

Now, subtract 3000 - 3000 to get the remainder.

The remainder is 0.

Hence,  3000 divided by 40 is equal to 75.

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The iv (insulin rate) rate should be 7 ml/hr.

Here,

Regular insulin is ordered iv at 7 units/hour.

The iv bag contains 100 units of regular insulin in 100ml of d5w.

We have to find the iv rate.

What is insulin rate?

Basal insulin rate is the rate at which an insulin pump provides small, “background” doses of fast-acting insulin.

Now,

Regular insulin is ordered iv at 7 units/hour.

The iv bag contains 100 units of regular insulin in 100ml of d5w.

The insulin rate in ml/hr = ( 7 units / 1 hr ) * (100 ml / 100 units) = 7 ml/hr

So, The iv (insulin rate) rate should be 7 ml/hr.

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The purpose why these concepts are present in the pictures is to develop imagination power among students.

As you imagine more, your mind becomes stronger and you have greater mental control. Innovation requires a strong imagination. If you succeed in what you set out to do, the same individuals who now accuse you of daydreaming will begin to aspire to be like you. Keep your aspirations high and your imagination expanding.

Imagination is a potent brain stimulant because it forces you to think differently than most people do. Your imagination can help you come up with scenarios that most effectively handle difficulties, even though your brain might classify them as being unexpected.

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Answer:

Step-by-step explanation:

Answer:

The surface area is the sum of all the faces (or surfaces) of a 3D shape. Composite figures are 2 figures put together. (There is an example of a composite figure below) You find an area of both shapes and then add them together, to find the area of the full figure.

Step-by-step explanation:

Step-by-step explanation:

2a: Domain [3,7] Range: [1,5]

2b: domain: (-infinity, 1] Range: All real numbers

2c: domain [-3, 6] range [-4,2]

2d: (-infinity,-2] U (2, infinity] range: [0, infinity)

2e domain is [0, infinity) range is all real numbers

If joe walks by 21 cats in one week then 7 cats are black.

Percentage can be defined as a ratio that is expressed as fraction of 100.

For Example , 1%= 1/100

Given that Joe's town there are 33 black cats

Total cats = 100.

The percentage of black cats in town =[tex]\frac{33}{100}[/tex]=33%

Number of cats joe sees in a week =21

Number of black cats joe sees in a week will be = 33% of 21

[tex]=21*\frac{33}{100} \\ \\ =\frac{693}{100} \\ \\ =6.93\\ \\[/tex]= approx. 7

Therefore , If joe walks by 21 cats in one week then 7 cats are black.

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The solution to the given inequality is x≥50.

The given inequality is 50≤x≥1000.

Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Now,

Move all terms not containing x from the centre section of the inequality.

Inequality Form: x≥50

Interval Notation: [50,∞)

The solution to the inequality is marked on the number line.

Therefore, the solution to the given inequality is x≥50.

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The value of the num will be 18 after the expression is evaluated.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that int x = 4; int y = 9 / 2; int num = 6; num *= x y; the value of num after the evaluation of the expression will be:-

num = x y

num = [ ( 4 x ( 9 / 2 ) ]

num = 9 x 2

num = 18

Therefore, the value of the num will be 18 after the expression is evaluated.

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