what is the sum of (2x−6)+4(x−3)

Answer:

8, 11, 14

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given

[tex]a_{n}[/tex] = 8 + (n - 1)3 , then

a₁ = 8 and d = 3 , thus

a₂ = 8 + 3 = 11

a₃ = 11 + 3 = 14

The first 3 terms are 8, 11, 14

Answer:

8

11

14

THAT IS THE ANSWER TO THE QUESTION

Answer:

The paper tray is not deep enough.

Step-by-step explanation:

500 * 9 * 10^-3

= 500 * 0.009

= 4.5 cm which is greater than the depth of the paper tray (4 cm).

The paper tray is not enough for sheets of paper.

The thickness of 500 sheets of paper is 45 cm.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

One sheet of paper is [tex]9[/tex] × [tex]10^{-3}[/tex] to the power of -3 to cm thick.

Mark wants to put 500 sheets of paper into the paper tray of his printer.

The thickness of 500 sheets of paper is

 [tex]9[/tex] × [tex]10^{-3}[/tex] × 500 = 45 cm

But the paper tray is 4cm deep

45 cm > 4 cm

So the paper tray is not enough for sheets of paper.

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Answer:

y = 6x + 1

Step-by-step explanation:

Use the point slope equation:

y - y1 = m( x - x1 )

y - 1 = 6 ( x - 0)

y - 1 = 6x

y = 6x + 1

Answer:

Below

Step-by-step explanation:

8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/1

Answer:

135 degree

Step-by-step explanation:

total sum of angle = (8-2) * 180 = 1080

each angle = 1080/8 = 135 degree

Answer:

niamah : jack

2 : 5

2×3 : 5×3

6 : 15

niamah gets 6 pencils

jack gets 15 pencils

*6+15 = 21

Answer:

Step-by-step explanation:

If the ratio of Niamah to Jack is 2:5, that means that for every 2 pencils that N gets, J gets 5. If there are a total of 21 pencils, then

2x + 5x = 21 and

7x = 21 so

x = 3.

That means that N gets 2(3) which is 6, and J gets 5(3) which is 15. Notice that 6:15 is the same ratio as 2:5 when it is reduced.

Answer:

6 seconds

Step-by-step explanation:

- ( 6 - 2)^2 + 16

- (4)^2 + 16

- 16 + 16

= 0

The ball is hits the ground or is at 0 height when x = 6.

Answer:

a) S_tot 320 cm²  (cube), 282.743339 cm²  (cylinder) thus the cube is  a greater surface area.

b) V = 300 cm³ (cube) V = 314.159265 cm³ (cylinder) thus the cylinder has a greater volume.

Step-by-step explanation:

First solve for the cube:

length l = 10 cm

width w = 10 cm

height h = 3 cm

diagonal d = 14.4568323 cm

total surface area Stot = 320 cm²

lateral surface area S_lat = 120 cm²

top surface area S_top = 100 cm²

bottom surface area S_bot = 100 cm²

volume V = 300 cm³

Agenda: l = length

w = width

h = height

d = diagonal

S_tot = total surface area

S_lat = lateral surface area

S_top = top surface area

S_bot = bottom surface area

V = volume

Formulas for a rectangular prism or cube:

Volume of Rectangular Prism:

V = lwh

Surface Area of Rectangular Prism:

S = 2(lw + lh + wh)

Space Diagonal of Rectangular Prism:  

d = √(l² + w² + h²)

_______________________________

Second we solve for the cylinder

radius r = 5 cm  d/2 = 10/2 = 5 cm

height h = 4 cm

volume V = 314.159265 cm³

lateral surface area L = 125.663706 cm²

top surface area T = 78.5398163 cm²

base surface area B = 78.5398163 cm²

total surface area A = 282.743339 cm²

In Terms of Pi π

volume V = 100 π cm³

lateral surface area L = 40 π cm²

top surface area T = 25 π cm²

base surface area B = 25 π cm²

total surface area A = 90 π cm³

Agenda:

Agenda: l = length

w = width

h = height

d = diagonal

S_tot = total surface area

S_lat = lateral surface area

S_top = top surface area

S_bot = bottom surface area

V = volume

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr²h

Calculate the lateral surface area of a cylinder (just the curved outside):

L = 2πrh

Calculate the top and bottom surface area of a cylinder:

T = B = πr²

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)

Answer:

This can be done in a total of 10 ways

Step-by-step explanation:

This is a selection problem.

What we are trying to do is to properly select 3 week long camps from the total 5. we are looking for the number of ways in which we can do this.

Now, since this is a selection problem, the proper mathematical term and approach to use is the COMBINATION

Mathematically, having r items to pick from a total n, the number of ways to do this is nCr ways

which is mathematically equivalent to;

n!/(n-r)!r!

now applying this to the problem at hand, what we have is 5C3

= 5!/(5-3)!3! = 5!/2!3! = (5 *4)/2 = 20/2 = 10 ways

Answer: the correct answer is -8

Step-by-step explanation:

Substitute the given value of m into the expression:

-4|5 + (-3)|.

Then evaluate using the order of operations:

-4|5 + (-3)|

= -4|2|

= -4(2)

= -8

Substitute the given value of m into the expression:

-4|5 + (-3)|.

Then evaluate using the order of operations:

-4|5 + (-3)|

= -4|2|

= -4(2)

= -8

The first step in evaluating an expression is to substitute the given value of a variable into the expression. Then you can finish evaluating the expression using arithmetic.

A variable is a letter, for example, x, y, or z, that represents an unspecified number. To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

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Step-by-step explanation:

The equation is

X + 10205 = 21894

X = 21894 - 10205

X = 11689

Answer:

x=35

Step-by-step explanation:

The 2 angles are on a straight line together. This means they are supplementary. When they are added together, they must equal 180 degrees.

3x+75=180

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

75 is being added to 3x. The opposite of addition is subtraction. Subtract 75 from both sides.

3x+75-75=180-75

3x=180-75

3x=105

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

3x/3=105/3

x=105/3

x=35

x is equal to 35.

Answer: x = 5 and y=-6

Step-by-step explanation:

If we graph both equations, the interception is the point (5,-6). Therefore the solution for x is 5 and for y is -6.

Answer:

3 3/5 bags

Step-by-step explanation:

We have to find the surface area of the floor of the cage first.

The cage measures 1 yard wide by 6 feet long.

1 yard = 3 feet

The floor of the cage is rectangular, so, the surface area of the floor of the cage is therefore:

3 * 6 = 18 square feet

One bag of shavings covers 5 square feet.

To find the number of bags we need to cover the floor, we divide the surface area of the floor by the number of bags per square feet.

The number of bags needed for the floor of the cage is therefore :

18 / 5 = 3 3/5 bags

Answer:

( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

Step-by-step explanation:

Explanation:-

Type of transformation                            change to co-ordinate point

vertical translation up 'd' units                (x,y)  changes to  (x  , y+d)

vertical translation down 'd' units          (x,y)  changes to  (x  , y-d)

Horizontal translation left 'c' units          (x,y)  changes to  (x-c  , y)

Horizontal translation right 'c' units            (x,y)  changes to  (x+c  , y)

Now by use above table

given data  ( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

Final answer:-

( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

Answer: b) rotation of 180°, reflection across y-axis

Step-by-step explanation:

The black triangle is in Quadrant IV.

A rotation of 180° will move it to Quadrant II.

The red triangle is in Quadrant I so  you must reflect it across the y-axis.

Answer:

1.4 mol

Step-by-step explanation:

                                2NaOH    +     H2SO4 ----->  Na2SO4 + 2H2O

from reaction          2 mol                                      1 mol

given                       2.8 mol                                    x

x = (2.8*1)/2 = 1.4 mol

Answer:

both

Step-by-step explanation:

you can solve this problem with substitution:

5(0) + 12(5) = 60

0 + 60 = 60 is true, therefore the first ordered pair is a solution

the second ordered pair is:

2, 25/6

therefore:

5(2) + 12(25/6) = 60

10 + 50 = 60

10 + 50 = 60 is true, therefore the second ordered pair is also a solution.

in conclusion, both of the ordered pairs are solutions.

Answer:

54ft squared

Step-by-step explanation:

All faces:

Front: 2*3/2=4.5f squared * 2 (other side)= 9ft squared

Sides: 10*3/2= 15ft squared * 2 (other side)= 30ft squared

Bottom: 3*10/2= 30/2= 15ft squared

=54 ft squared

Surface area of the triangular prism is 96 feet.

The area of a three dimensional object on it's outer surface is called the surface area of the object.

A triangular prism has 2 triangular bases and 3 rectangular lateral faces.

Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height

There are 2 triangles at the top and bottom.

Here base = 3 feet and height = 2 feet

Total surface area on the top and bottom = 2 × [tex]\frac{1}{2}[/tex] × base × height

                                                                     = base × height

                                                                     = 3 × 2

                                                                     = 6 feet

There are 3 rectangular faces.

Area of the rectangle = Length × width

Here, length = 10 feet and width = 3 feet

Area of the rectangular face = 10 × 3 = 30 feet

Since there are 3 rectangular faces,

Total lateral surface area = 3 × 30 = 90 feet

Total surface area of the triangular prism = 90 + 6 = 96 feet

Hence the total surface area of the given triangular prism is 96 feet.

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Answer:

Simplify the f's variables -2.1

Simplify the numbers -19

-2.1f -19 is the answer

Answer-2.1f-24:

Step-by-step explanation:

Answer: 176 free throws

Step-by-step explanation: 4/5 = 80% 80% of 220 = 176

Answer:

Listing method is a method to list all the elements separating each element by the comma and enclosing

Step-by-step explanation:

Answer:

Step-by-step explanation:

Two matrices A and B are said to be equal if both matrices have the same number of rows and columns. Given the following matrices

[tex]A = -2\left[\begin{array}{ccc}-6&4\\3&7\\12&10\end{array}\right] \\multiplying\ the \ matrix\ through\ by\ -2\ will\ give\\A = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right] \\\\\\B =3 \left[\begin{array}{ccc}-2&2&8\\8&5&6\end{array}\right] \\B = \left[\begin{array}{ccc}-6&6&24\\24&15&18\end{array}\right] \\\\\\D = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right][/tex]

From the above matrices, it can be seen that matrix A and C both has 3 rows and 2 columns each which matrix b has 2 rows and 3 columns.

Based on the conclusion, it can be seen that matrices A and D are equal since they have the same number of rows and columns

Answer:

0≤y≤5

Step-by-step explanation:

The range is the values of the output, or in this case the y values

The y values go from 0 to 5

0≤y≤5

The answer is C.

You can see visually that the function's domain lies within range from -5 to 5 on the x axis.

Answer:

Step-by-step explanation:

Answer:

So a degree means the power. So which ever has a power of three. I think you forgot to show to power, its D i think

D is answer  

Answer:

the 4th option is correct

Step-by-step explanation:

[tex]xy^{2/9}[/tex]   Original expression

[tex]x(y^{2})^{1/9}[/tex]   Split up the exponent

[tex]x(\sqrt[9]{y^{2} } )[/tex]   The 1/9 of an expression is the same thing is the 9th root of the expression.

Answer:

(x + 3) × (2x - 7)

Step-by-step explanation:

2x² - x - 21

Write as a difference

2x² + 6x - 7x - 21

Factor the expressions

2x × (x + 3) - 7 (x + 3)

Factor the expression

(x +3) × (2x - 7)

Answer:

20

Step-by-step explanation:

The triangles are similar so we can use ratios

8       32

---   = -----

8+5    32+x

Using cross products

8(32+x) = 32(13)

Divide each side by 8

(32+x) = 32(13)/8

32+x = 4*13

32+x =52

Subtract 32

x = 20