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[tex]~~~~~~~a(2y+3z) = d(2x+3y)\\\\\implies 2ay+3az= 2dx+3dy\\\\\implies 2ay -3dy = 2dx -3az\\\\\implies (2a-3d)y = 2dx-3az\\\\\implies y = \dfrac{2dx-3az}{2a-3d}~~~~~~~~~~~~;[2a-3d \neq 0][/tex]

A function assigns the values. The list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).

A function assigns the value of each element of one set to the other specific element of another set.

The rate at which the candle burns down is 0.5 inches per hour. Now, if we substitute the value of the point (0,9) in the function of a line, and the rate as well, we will get,

y = mx +c

9 = -0.5(0) + c

c = 9

Now, the equation that can represent the height of the candle at any hour after it is lit will be,

y= -0.5x+9

substitute the value of x as 1, 2, 3, 4, 5, and 6 to get the value of y and form ordered pairs.

Hence, the list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).

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[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=9\\ s=9.7 \end{cases}\implies 9.7=\cfrac{\theta \pi (9)}{180}\implies 9.7=\cfrac{\theta \pi }{20} \\\\\\ 194=\theta \pi \implies \cfrac{194}{\pi }=\theta \implies 62\approx \theta[/tex]

Let x be the total number of student tickets sold.

Then, x - 25 is the number of adult tickets sold.

660 = 3x + 6(x - 25)

660 = 3x + 6x - 150

9x = 810

x = 90

Thus, 90 student tickets were sold.

Characteristics of vectors:

Moving up 5 units and then back down 5 units you would be in the original starting location.

Answer (2,-2)

Step-by-step explanation:

the slope is always the ratio "y coordinate charge / x coordinate change" when going from one point on the line to another.

so, when going from (-2, 1) to (4, -3)

x changes by +6 (from -2 to 4).

y changes by -4 (from 1 to -3).

therefore, the slope is

-4/+6 = -4/6 = -2/3

Answer:

#3

Step-by-step explanation:

You can tell if a table is linear, if the slope is constant within the graph. #3 is the only option that has a constant slope. In the others, if you pick different points from that same table the slope changes. That is how you know that is not a linear function.

A linear equation is an equation in which each term has at max one degree. The table that represents a linear function is Table 3. Thus, the correct option is 3.

A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form

y = mx + c

Linear equation with two variables, when graphed on a cartesian plane with axes of those variables, gives a straight line.

For the table to represent a linear function, the function must have a constant slope between any two points.

For the third table, the slope between the first two points is,

[tex]m = \dfrac{(- 10 + 2)}{(2 - 1)}[/tex]

[tex]m = - 8[/tex]

The slope between the last two points is,

[tex]m = \dfrac{(- 18 + 10)}{(2 - 1)}[/tex]

[tex]m = - 8[/tex]

Hence, the table that represents a linear function is Table 3. Thus, the correct option is 3.

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Answer:

3 vertices

Acute

Step-by-step explanation:

Question

Three polygons are still use the drop-down menus to describe the polygons use a protractor click the protractor button below

answer: 3 vertices first drop down

acute second drop down

Answer:

18-3×6+4=0

18-18+4=0

0+4=4

it is completely right(+) is the correct symbol

Answer:

x = 3

Step-by-step explanation:

the axis of symmetry is a vertical line passing throught the vertex with equation

x = c ( where c is the value of the x- coordinate of the vertex )

vertex has coordinates (3, - 1 ) with x- coordinate 3 , then

equation of axis of symmetry is x = 3

Answer:

Your Answer is D. x = 3

Step-by-step explanation:

The axis of symmetry is x = 3.

I have copied your graph to appear to be this equation.

y = 2 * (x-3)^2 - 1

Answer:

72 m^2

Step-by-step explanation:

0.5 x 9 x 16 = 72

hope this helps

have a good day

Answer:

8.4 x 10

Step-by-step explanation:

Scientific notation

Answer:

8.4 x 10^1

You do not have to use the 1st power that is just the official way of writing it  :)

Step-by-step explanation:

scientific notations

Answer:

B

Step-by-step explanation:

Answer:

25 ÷ 5 + 7 - (4 × 3)

First Brackets :

4 x 3

= 12

Now division :

25 ÷ 5

= 5

So now this is our equation :

5 + 7 -12

Work From left to right:

5 + 7

= 12

12 - 12

==> 0

Hope it helps :))

Answer:

0

Step-by-step explanation:

1. Calculate within the parenthesis:

25 ÷ 5 + 7 - 12

2. Divide:

5 + 7 - 12

3. Add and subtract:

12 - 12

= 0

hope this helps!

Higher Order Thinking There are points on a grid at (0, 0) and (3, 0).

a. What is a possible coordinate of the third vertex if the triangle has

a perimeter of 11 units? Explain.

b. Is there another point that could be the third vertex? Explain.

par poib

signe

Answer:

  a.  57.2

  b.  scalene

Step-by-step explanation:

The lengths of the sides can be found from the coordinates of the vertices using the distance formula. The perimeter of the triangle is the sum of the side lengths.

__

The distance formula is ...

  d = √((x2 -x1)² +(y2 -y1)²)

The length of EF is ...

  d = √((24 -28)² +(27 -24)²) = √(16 +9) = √25 = 5

The length of FG is ...

  d = √((0 -24)² +(24 -27)²) = √(576 +9) = √585 ≈ 24.2

The points E and G lie on the same horizontal line, so the distance between them is the difference of their x-coordinates:

  d = 28 -0 = 28 . . . . length of EG

The perimeter is the sum of side lengths:

  P = EF +FG +GE

  P = 5 +24.2 +28 = 57.2

The perimeter of the figure is about 57.2 units.

__

The three sides have three different lengths. This makes the triangle a scalene triangle.

Answer:

B

Step-by-step explanation:

The number of ways to choose a combination of 7 objects from a group of 15 objects is 15! / (7! 8!)

The answers for the given multiplications are 100 and 2000

Significant figures are the digits of a number that are meaningful in terms of accuracy or precision.

Given that, two numbers, we need to simplify them and then round them to 1 significant figure.

1) 8.2×6.7/0.46 = 119.4347

Rounding to 1 significant figure, = 100

2) 23.4×13.9/0.18 = 1807

Rounding to 1 significant figure, = 2000

Hence, The answers for the given multiplications are 100 and 2000

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The cartesian form of planes perpendicular to the z-axis have in spherical coordinates is z = r cosФ.

Spherical coordinates, also known as spherical coordinates, are a type of curvilinear coordinate system that is useful for defining locations on a sphere or spheroid.

The conversion of cartesian coordinate to spherical coordinate will be

x = r cosθ sinФ

y = r sinθ sinФ

z = r cosФ

The cartesian form of planes perpendicular to the z-axis have in spherical coordinates is z = r cosФ.

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Answer:

2 miles

Step-by-step explanation:

Add the first 2 terms (2 1/6 and 1 3/6) by adding the whole term and fractional term to get 3 4/6, then subtract 1 4/6 by subtracting 1 from 3 and 4/6 from 4/6 to get 2 0/6, which is just 2.

Answer:

The answer is 12

Step-by-step explanation:

1-8(6)

The multiples of 3 would be 3 and 6.

3 and 6 are found 12 times within those 6 spins

For one spin

So

Elements which are multiple of 3

So

Total probability

Now

For 6 spins

Total time spins as multiple of 3

Answer:

Step-by-step explanation:

HOPE ITS HELP

Answer:

x = -7 and x = 5

Step-by-step explanation:

First, make the problem easier by taking out the common factor (6).

6x² - 12x - 210 -----> 6(x² - 2x - 35)

What two numbers multiply to -35 and add to -2? These two numbers are -7 and 5. You can now write the factored form of the expression.

6(x² - 2x - 35) -----> 6(x - 7)(x + 5)

Finally, find the x's by making each term with x equal to zero.

x + 7 = 0 -----> x = -7

x - 5 = 0 ----->  x = 5

The x's are x = -7 and x = 5

The degree of the polynomial will be equal to 3 for the given data.

polynomial an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

The highest exponent of a polynomial function is the degree, which specifies the maximum number of solutions a function can have and the maximum number of times a function will cross the x-axis when graphed.

So in the given function the highest power of the variable is three so the

degree of the polynomial will be equal to 3 for the given data.

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Ratio of mild wings to hot wings

=3:2

3+2=5

mild wings = 90/5×3

=54

hot wings =90/5×2

=36

Answer:

6minutes

Step-by-step explanation:

There is 60minutes in an hour sooo using an online calculator 10% of 60minutes is 6minutes
10% because when you add up everything other than research you get 90%. 90% for everything other than research so 10% for research. They then want it in minutes and they let us know that she spent an hour on her iphone so as stated that's how it works


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The information that provided by the graph are median and the range. The information that cannot be gotten from the graph is the mode.

The interquartile range is 25.

The outlier would distort the value of the median and mean.

The information that can be derived from the box plot are the minimum value, maximum value, range, median, first quartile and third quartile.

The interquartile range is the difference between the first quartile and third quartile.

Interquartile range = 60 - 35  = 25

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Answer:

PART A: You cannot find the mode from the box plot. However, you can find the mean, median, and the range along with outliers.

PART B: 60-35=25 This is the interquartile range.

PART C: The outliers will cause the mean into increase.

Step-by-step explanation:

Answer:

Sally is 27

Jenny is 18

Step-by-step explanation:

using algebra:

x+(x-9)= 45

x+x-9

2x-9=45

2x-9+9=45+9

2x=54

54÷2=27

Sally = 27

27-9 = 18

Jenny = 18

This should be it!

hope this helps :)

Answer: 11.42

Step-by-step explanation: Pythagorean Theorem

Answer:

11.42

Step-by-step explanation:

3,4,5 and 8,3,sqrt(55)

around 11.42

Answer:

100 / (22+3)

=100/25

=4

Step-by-step explanation:

You plan to construct a brick wall measuring 14.5 ft. in length, 5.5 ft. high, and 0.5 ft. in width. If a brick measures 6 in. x 4 in. x 2 in. you will need 3,240 bricks.

The volume of the cuboid is the product of the length, breadth, and height of the given prism.

Volume of cuboid = (length x width x height)

We have given that

Dimensions of a brick wall is given by

Length = 14.5 feet

Width = 0.5 feet

Height = 5.5 feet

Dimensions of a brick is given by

Length = 6 inch

Width = 4 inch

Height = 2 inch

First of all, we will convert the dimensions of a wall from feet into inches.

1 feet = 12 inch

15 feet = 12*15 inch = 180 inch

6 feet = 12*6 inch = 72 inch

We know that volume of a brick wall will be equal to the volume of 'n' bricks, so we can set an equation;

The volume of a brick wall = the volume of 'n' bricks

180 x 72 x 12 = n x 6 x 4 x 2

155520 = n x 48

n = 3240

Therefore, you will need 3,240 bricks.

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