Which choice is equivalent to the fraction below when x >= 2

Answer:

330.

Step-by-step explanation:

Count all the way up. The first row is 20, then goes, 22,24,26,28,30,32,34,36,38,40. These are the number of seats for all 12 rows, since we added 2 each row. Add them all together including 20 to get 330 seats. The whole auditorium has 330 seats.

Hope this helps!

As per arithmetic Progression, there are 372 seats in the given auditorium.

"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."

Given, the auditorium has 20 seats in the first row.

Then, each successive row contains 2.

We can assume it as an arithmetic progression.

Here, the first term(a) is 20.

The common difference(d) is 2.

Total number of terms(n) is 12.

Therefore, the sum of all the terms is

[tex]= \frac{n}{2}[2a + (n-1)d]\\= \frac{12}{2}[2(20) + (12-1)2]\\= 6[40+(11)2)]\\= 6(40+22)\\= 6(62)\\= 372[/tex]

Learn more about an arithmetic progression here: https://brainly.com/question/20733446

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Answer:

area=3.14 yd^2

Step-by-step explanation:

radius=diameter/2

=2/2

=1

area =π*r^2

=3.14&1

=3.14 yd^2

Answer:

3.14 yd^2

Step-by-step explanation:

First we need to find the radius

r = d/2 = 2/2 =1 yd

The area of a circle is given by

A = pi r^2

   = 3.14 ( 1)^2

   = 3.14 yd^2

Answer:

√2 ft.

Step-by-step explanation:

⇒ Area of square board = 2 ft.²

⇒ (Side of the board)² = 2 ft.²

⇒ Side of the board = √(2 ft.²)

⇒ Side of the board = √2 ft.

Answer:

Here we have:

f(x) = 2^x

g(x) = 0.5*2^(x - 3) - 1

We want to compare g(x) and f(x).

The first thing we should do here, is to define the transformations used.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

if N > 0, the translation is upwards

if N < 0, the translation is downwards.

Horizontal translation:

For a function f(x), a horizontal translation fo N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left

if N < 0, the translation is to the right.

Vertical dilation:

For a general function f(x), a vertical dilation of scale factor k is written as:

g(x) = k*f(x).

Ok, now let's start with f(x), and try to use transformations to construct g(x).

We start with f(x).

If we start with a vertical dilation of scale factor k = 0.5, then:

g(x) = 0.5*f(x)

if now we apply a horizontal translation of 3 units to the right, we get:

g(x) = 0.5*f(x - 3)

if now we apply a vertical translation of 1 unit down, we get:

g(x) = 0.5*f(x - 3) - 1

Replacing by the actual function we get

g(x) = 0.5*2^(x - 3) - 1

So we got g(x).

Then, the graph of g(x) is the graph of f(x) dilated vertically by a scale factor of 0.5, then moved to the right 3 units, and then moved down one unit.

Answer:

∆ABC~=∆PQR

Angle BAC=QPR

Answer:

Step-by-step explanation:

Finding solutions in a problem like this requires factoring. That means we need to do whatever we have to to isolate the x term. Of course, we have to do it in order of operations but backwards. Begin by adding 2 to both sides to get

[tex](x+4)^2=9[/tex] Now we have to undo the squaring on the left by taking the square root of both sides:

[tex]\sqrt{(x+4)^2}=[/tex] ±[tex]\sqrt{9}[/tex] Taking the square root of a square cancels out both, and of course the square root of 9 is + or - 3:

x + 4 = ±3

The 2 solutions are

x = -4 + 3 which is -1, and x = -4 - 3 which is -7. Choice (3) is the one you want.

Answer:

The solution for f(x) = g(x) are;

x = 1 and x = -1

Step-by-step explanation:

The given equations for the functions, g(x) are;

[tex]f(x) = \dfrac{1 + 2\cdot x}{x}[/tex]

g(x) = 2 + x

The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;

When f(x) = g(x), we have;

[tex]\dfrac{1 + 2\cdot x}{x} = 2 + x[/tex]

By cross multiplication, we have;

1 + 2·x = x × (2 + x) = 2·x + x²

∴ x² + 2·x - 2·x - 1 = 0

x² - 1 = 0

(x - 1)·(x + 1) = 0

x = 1, or x = -1

f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1

Therefore, the solution for f(x) = g(x) are;

f(x) = g(x) = 3 or 1 where x = 1 and x = -1.

Answer: a , b

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

The Time of day is skip counting by ten each time

EX: 1000-1010-1020-1030-1040- so on

Answer:

upper left graph:  y = 3/4x-3

lower right graph:  x = 3

Step-by-step explanation:

Answer:

23 grams of snow

Step-by-step explanation:

44% melted, so, 100% - 44% = 56% remained.

56% = 12.88 grams

1% = 12.88/56 = 0.23 grams

100% (= original snow) = 100×1% = 100×0.23 = 23 grams

the question is kind of nonsense, because snow is made of water, and that water weighs the same, if it is in snow form or in liquid form. melting it or freezing it does not change its weight. only its volume.

so, actually the container contained 23 grams of water substance at the beginning, and still contains 23 grams of water substance.

Answer:

11.67 Amperes

Step-by-step explanation:

From Ohm's law,

Ohm's law which state that a current

which flow through a conductor at a distance between two points is proportional directly to the voltage which is flowing across the two points.

I= V/R

Where

I= Current

V= potential difference =35v

R= resistance = 3 ohms

Then substitute the values we have

I = 35 / 3

I= 11.67 Amperes

Answer:

all i know is that the answer is

above 2,400

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

Substitute 3 for x and -4 for y

-5(x-2) + 3y

-5 ( 3 - 2 ) + 3 * -4

-5 * 1 + 3 * -4

-5 - 12

-17

Answer:

( x-2)^2 +(y-5)^2 = 12.25

Step-by-step explanation:

The equation of a circle is given by

(x-h) ^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

( x-2)^2 +(y-5)^2 = (3.5)^2

( x-2)^2 +(y-5)^2 = 12.25

Answer: [tex]108^{\circ}[/tex]

Step-by-step explanation:

Given

The top left and right corners measures [tex]72^{\circ}[/tex] and the bottom right corner measures [tex]108^{\circ}[/tex].

Suppose the missing corner measures [tex]x[/tex]

So, the sum of the four angles of parallelogram is [tex]360^{\circ}[/tex]

[tex]\therefore x+72^{\circ}+108^{\circ}+72^{\circ}=360^{\circ}\\\Rightarrow x=360^{\circ}-252^{\circ}\\\Rightarrow x=108^{\circ}[/tex]

Therefore, the missing angle is [tex]108^{\circ}[/tex].

Answer:B

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

6 (14 + 7)

6 (21)

126

Answer:

y=-1

Step-by-step explanation:

y=-1 just shows the y value which means its just a horizontal line which is parallel to the x axis.

Answer:

HOPE IT HELPED U .....

Step-by-step explanation:

a). f(5)= 2x +6

= 2 *5+6

= 10+6

=16

(b). g (9)= -12x+4

= -12*9+4

= -108 +4

=-104

(c). f(5)+f(9)= 16+(-104)

=-88

Answer:

Step-by-step explanation:

f(x)=2x+6

f(5)=2*5+6

f(5)=10+6

f(5)=16

g(x)=-12x+4

g(9)=-12*9+4

g(9)=-108+4

g(9)=-104

Answer:

ASA

Step-by-step explanation:

In given triangle

Line BC = Line QR

Angle ABC = Angle PQR

Angle ACB = Angle PRQ

Computation:

Angle ABC = Angle PQR (Angle)

Line BC = Line QR (Side)

Angle ACB = Angle PRQ (Angle)

So,

ΔABC ≅ ΔPQR

By Angle Side Angle property

ASA

Answer:

-3

Step-by-step explanation:

[tex]\sqrt{25}[/tex] is equal to 5, so we can sub it in the equation.

This gives 12-3×5 or 12-15.

This solves to -3.

**This content involves simplifying surds, which you may wish to revise. I'm always happy to help!

Answer:

[tex]\sqrt{15}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{3}[/tex] × [tex]\sqrt{5}[/tex] = [tex]\sqrt{3(5)}[/tex] = [tex]\sqrt{15}[/tex]

Answer:

I dont see the question oh nvm

Step-by-step explanation:

Answer:

P=100(A-R)/RT

Step-by-step explanation:

A-R=PRT/100

100(A-R)=PRT

100(A-R)/RT=P

P=100(A-R)/RT

Answer:

The square is the quadrilateral.

Step-by-step explanation:

A quadrilateral is a 2 dimensional geometric shape. It has four sides which may be or may not be equal.

If a quadrilateral is a square and we make its diagonal so that we get two triangles.

These two triangles are isosceles triangle as the two sides are equal and the square has four equal sides and the triangles are congruent to each  other.  

here, the triangles ABC and ADC are congruent and isosceles.

Answer:

IQR = 12

Step-by-step explanation:

interquartile range is the difference between quartile 3 and quartile 1

in this set of data Q3 = 40 and Q1 = 28

so IQR = 12

Answer:

196,836,571.6 miles²

Step-by-step explanation:

the earth is shaped like a sphere. the surface area of the earth can be determined by calculating the surface area of a sphere

surface area of a sphere = 4πr²

π= 3.14

r = 7,917.5 / 2 = 3958.75 miles

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

4 x 3.14 x 3958.75² = 196,836,571.6 miles²

Answer:

71. 8

Step-by-step explanation:

volume of a cylinder = 4/ 3 π r² h

=> 4817 = 4/ 3 × 22/ 7 × 4² × h

=> h = (4817 × 3 × 7)/ (4 × 22 × 4²)

=> h = 71.8