Fill in the blank: If a number is located to the left
of another number on the number line, that
number is ____ the other number

Answer:

a)

24 = 2³ × 3

40 = 2³ × 5

b)

LCM = 120

Step-by-step explanation:

a)

                 24                                      40

              /       \                                  /      \

            2         12                           2         20

                      /     \                                   /      \

                    2       6                               2      10

                           /     \                                     /    \

                        2         3                               2       5

24 = 2³ × 3

40 = 2³ × 5

b)

LCM = 2³ × 3 × 5

LCM = 120

Recently, the Town of Aberdeen announced they were going to acquire a large parcel of land for a new park initiative.

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The test score representing the 3rd decile is 67. So the option a is correct.

In the given question, an achievement exam was given to a population of 1,000 students.

However, a sample of only seven of student scores is listed along with their respective z score and percentile rank in the following table.

TEST SCORE      42        57        67        72        77        87        97

z score              -1.50     -0.75    -0.25     0        0.25     0.75     1.25

percentile rank  10         25        30       45        50       75        95

Using the table information, we have to find the test score representing the 3rd decile.

As we know that the 3rd decile is equal to the 30th percentile.

So that the 3rd decile have the percentile rank = 30

The test score equivalent to percentile rank 30 is 67.

So, the test score representing the 3rd decile is 67. So the option a is correct.

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The movie need to earn $ 1,512,500 in the next 7 weeks.

The unitary technique involves first determining the value of a single unit,

followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A company spent 762500 to make a movie.

The total movie will be earned

= 762500 + 2000000

= 2,762,500

First week the movie earned 1, 250,000.

So, in 7 weeks the movie needs to earned

= 2,762,500 - 1, 250,000

= 1,512,500

Hence, the movie earn 1,512,500 more.

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Answer:

(-1,0)

Step-by-step explanation:

To find the x value of the vertex use the equation

-b/(2a)

-4/(2*2)= -1

this means that the x coordinate is -1

Now that we know the x value we need to find the corresponding y value

to do this we just plug in x into the equation

2(-1)²+4(-1)+2

2-4+2=0

put it all together and get (-1,0)

Answer: n=9

Step-by-step explanation:

I'm assuming you want to solve for n, as that's the only possible question I can think of.

To solve for n, we want to isolate n by using inverse operations.

2n+4=22            [subtract both sides by 4]

2n=18                 [divide both sides by 2]

n=9

Therefore, n=9 Is the answer.

x->∞,y->∞ and as x-> - ∞ , y-> - ∞ this statement  best describes the end behavior.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

First, we need to analyze the plotting of the graph. When it is on the negative axis of x, as the values of x increase (x values increasing in the negative axis means it's decreasing in value), the y values also increase. So as x decreases, y increases.

On the positive axis of x, as the x values increase, the corresponding values of y also increase with x. So as x increases, y values also increase with it.

Hence, x->∞,y->∞ and as x-> - ∞ , y-> - ∞ this  statement  best describes the end behavior.

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The volume of the cylinders are 320.625 m³, 921.6 ft³,824 in³ and 35.6 in³

Volume is the amount of space occupied by a three dimensional shape or object.

Volume of cylinder = π * radius² * height

a) Volume of cylinder = π * (15/2)² * 5.7 = 320.625 m³

b) Volume of cylinder = π * (8)² * 14.4 = 921.6 ft³

c) Volume of cylinder = π * (6)² * 24 = 824 in³

d) Volume of cylinder = π * (2)² * 8.9 = 35.6 in³

The volume of the cylinders are 320.625 m³, 921.6 ft³,824 in³ and 35.6 in³

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6.666666666666666 (6.6 repeating, I just don’t know how to use the sign online)

I multiplied 3 1/3 by 2

Answer:

C

Step-by-step explanation:

Hope this helpssss

Answer:

311 cm squared

Step-by-step explanation:

Formulas/things to know:

area of circle = pi times r^2

diameter = r * 2

pi = 3.14159

r = radius

__________________________________________________________

CIRCLE 1:

diameter 36, radius = 36/2 = 18

area of circle = pi times 18^2

3.14159 times 324

= 1017.87601976

CIRCLE 2:

diameter 30, radius = 30/2 = 15

area of circle = pi times 15^2

3.14159 times 225

= 706.858347058

__________________________________________________________

Great, now we can calculate the difference between the areas!

1017.87601976 - 706.858347058

= 311.017672702

and then round to the nearest square centimeter: 311

answer: 311 cm squared

note: make sure to round at the end, not after calculating area for the most accurate result! :) Hope this helped

Rotation of PQRS by 90 degree.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's final shape and location. What are the four mathematical transformations?

Translation, rotation, reflection, and enlargement. You must be able to carry out each transformation and recognize which ones have already been done.

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Answer:2192.6

Step-by-step explanation:

Answer:

x = - 2 or x = - 4

Step-by-step explanation:

Via completing the square:

x^2 + 6x + 8  = x^2 + 6x + (6/2)^2 - (6/2)^2 + 8

                     = (x + 3)^2 - 3^2 + 8

                     = (x + 3)^2 - 9 + 8

                     = (x + 3)^2 - 1

Since x^2+6x+8=0,

(x + 3)^2 - 1 = 0

(x + 3)^2 = 1

x + 3 = +- sqrt(1)

x + 3 = +- 1

x + 3 = 1 or x + 3 = -1

x = -2 or x = -4

Answer: 5/12 (five over twelve)

Step-by-step explanation:

1. COMBINE LIKE TERMS

1/6

-----   * 10 = x

1/4

5/12 = x

x = 5/12

Answer:

A

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

140° is an exterior angle of the triangle , then

∠ B + 90° = 140° ( subtract 90° from both sides )

∠ B = 50°

∠ ACB and ∠ DCB are a linear pair and sum to 180° , that is

∠ ACB + 140° = 180° ( subtract 140° from both sides )

∠ ACB = 40°

Answer:9

Step-by-step explanation:beacuse if you take 6 by 9 and 10 it will make 2 of 69

Answer:

Definitely Option A.

When you expand the bracket of Option A... You have your equation

Which is

-1/4x + 1/2.

Answer: 32

Step-by-step explanation:              90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

The time taken to complete the rest questions is 32 minutes

Since Yan has already finished Three-fifths of the 45 math problems he was assigned today. The number remaining will be:

= 45 - (3/5 × 45)

= 45 - 27

= 18

Now, the time taken to complete the rest questions will be:

= 18 × 1 4/5

= 18 × 1.80

= 32.4

= 32 minutes.

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Answer:

x = 22 (each friend started with 22 action figures)

Step-by-step explanation:

After buying 8 more action figures, each friend has x + 8 action figures. Because there are 5 friends, the new total number of action figures is 5(x + 8), which we are told is equal to 150. Dividing both sides of this equation by 5 yields x + 8 = 30, and subtracting 8 from both sides yields x = 22.

Answer:

68, 97, 81, 96, 84.2

Step-by-step explanation:

16. The minimum of the data is the smallest value. Take the smallest stem value and find its smallest leaf value, you'll get 68.

17. Take the largest stem value and find its largest leaf value. That's 97.

18. Counting the number of values, there are 10 values here. So you need to look at the mean of the 5th and 6th values. (80 + 82) ÷ 2 = 81

19. Mode: the most frequently occurring value. All values in this dataset are unique except for the two 96s in the last row, hence 96 is the mode.

20. Add all values and divide your result by the number of values.

(68+75+77+79+80+82+92+96+96+97) ÷ 10 = 84.2

Hence 84.2 is your mean.

On solving the provided question, we can say that the equation of the expression is given by y = 6x + 50

Equations with graphs as the unknowns are known as graph equations. The concept of isomorphism is one of the key issues in graph theory. When are two graphs identical, we inquire? Different graph equations may be used to express the aforementioned graphs.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized. A lot of specialists, such as air traffic controllers, architects, computer programmers, and carpenters, employ equations on a daily basis.

From the table we can see that if the equation be

y = mx + c

for x = 0 y = 50

c = 50

again from x = 1 and y = 56

m = 6

So the equation of the expression is given by y = 6x + 50

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Answer: B

Step-by-step explanation:

Area = 4 x 5

         = 20 cm^2

Remember that area of parallelogram is the base x perpendicular height. is The perpendicular height is not 6cm but 5cm. (right angle labelled on diagram)

Answer: 20 cm²

Step-by-step explanation:

area parallelogram = base x height

=> 4 x 5 = 20

Answer:

B

Step-by-step explanation:

This is a neat question

f(x) - g(x) = 2x           Add g(x) to both sides

f(x) = g(x) + 2x

Now you need the right hand side to have 20 added to g(x).

2x must = 20

2x = 20                    Divide by 2

x = 20/2

x = 10

So the answer must be x = 10

Answer:

sin(T)

cos(C)

Step-by-step explanation:

sine goes up or down for angles in the circle.

cosine goes left or right for angles in the circle.

consider a circle with is center at T, and it goes through C (so, the radius is 25 = TC).

then 7 = sin(T)×25

24 = cos(T)×25

so, sin(T) = 7/25

then, sin(T) = cos(90-T)

and the angle at C = 90-T.

therefore, cos(C)=sin(T)=7/25

tan(x) = sin(x)/cos(x)

and that would lead here always to a 7/24 or 24/7 ratio.

so, no tan function is right.

Answer:

y=-1/4x+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

add all the # and see what you get

The graph of the following equation will be a Parabola. The y=1 will be the line of symmetry.

Three different parabolas exist. Vertex form, standard form, and intercept form are the three forms. You can access a unique key feature for the graph on each form.

A set of points in a plane that are equally spaced apart from a directrix or focus are known as parabolas. The difference in distances between a group of points that are situated in a plane and two fixed points—which is a positive constant—is what is referred to as the hyperbola.

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Answer:

SAS

Step-by-step explanation:

Answer:

-3/5

Step-by-step explanation:

from 1st point to second, you go down 3, right 5