In the first year of production
a play sells 1572 tickets, in its
second year it sells 1753
tickets, in its third year it sells
152 less than in its second
year. How many tickets are
sold in 3 years?

Please add the working out too

Step-by-step explanation:

Let's take any 2 points from the line.

1. (-4,-2)

2. (-2,-7)

[tex]slope \\ = \frac{Δy}{Δx} \\ = \frac{y_{2} - y_1}{x_{2} - x_1} \\ = \frac{ 7 - ( - 2)}{ - 2 - ( - 4)} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} \\ = 2.5[/tex]

Answer:

Given,

[tex] \sqrt{ {x}^{2} + 4x + 4} - 3 = 0 \\ = > \sqrt{ {x}^{2} + 4x + 4} = 3 \\ = > {( \sqrt{ {x}^{2} + 4x + 4} })^{2} = {3}^{2} \\ = > {x}^{2} + 4x + 4 = 9 \\ = > {x}^{2} + 4x + 4 - 9 = 0 \\ = > {x}^{2} + 4x - 5 = 0 \\ = > {x}^{2} + 5x - x - 5 = 0 \\ = > x(x + 5) - 1(x + 5) = 0 \\ = > (x - 1)(x + 5) = 0 \\ \\ \sf \: either \: x - 1 = 0 \: \: \: \: \\ = > x = 1 \: \: \\ \\ \sf \: or \\ x + 5 = 0 \\ = > x = - 5 \\ \\ \green{ \boxed{ \bf \: \: \: \: \: x = 1 \: \: or \: - 5}}[/tex]

But if we put the value of x = 5 then it doesn’t satisfy the equation.

So,

X = 1

Answer:

The answer is [tex]x=1[/tex].

Step-by-step explanation:

To solve this problem, start by factoring the equation using the perfect square trinomial rule, which is states that the middle term is the first term multiplied by the last term, and then multiplied by 2. The formula for the perfect square trinomial rule looks like [tex]a^2+2ab+b^2[/tex], where [tex]a=x[/tex] and [tex]b=2[/tex]. The equation will look like [tex]\sqrt{(x+2)^2}-3=0[/tex].  

Next, pull out the terms from under the radical, assuming positive real numbers, which will look like [tex]x+2-3=0[/tex]. Then, simplify the equation by subtracting 3 from 2, which will look like [tex]x-1=0[/tex]. Finally, add 1 to both sides of the equation, and the answer will be [tex]x=1[/tex].

Step-by-step explanation:

x/3 = 5/6

cross multiply

6x=15

x=2.5

Answer:

x=5/2

Step-by-step explanation:

Answer:

not really

Step-by-step explanation:

because on the first equation you subtract 5and take to y as a negative and in the second equation 5 goes as a positive at least that is what i think

Answer:

no cause

5-x=y

5 is positive , x is negative

BUT

x-5=y

5 is negative, and x is positive

Answer:

21b

Step-by-step explanation:

4 sin(x) + 9 cos(x) = 0

4 sin(x) = -9 cos(x)

tan(x) = -9/4

x = arctan(-9/4) + nπ … … … (in radians)

or

x = arctan(-9/4) + 180n ° … … … (in degrees)

where n is any integer.

I'm guessing you're solving for x over some domain, probably 0° ≤ x < 360°. In that case, you would have two solutions for n = 1 and n = 2 of

x ≈ 113.96°   and   x ≈ 293.96°

Formula for the volume of a cone: V = 1/3 x pi x r^2 x h

Since this is a right cone, the height is given as 8.5 and the radius is 4.

V = 1/3 x pi x 4^2 x 8.5

V = 1/3 x pi x 16 x 8.5

V = 1/3 x pi x 136

V = 45 1/3 pi

V = 142.4 cubic units

Hope this helps!

Answer:

142.4 units^3

Step-by-step explanation:

We use the same formula for volume as for a cone

V = 1/3 pi r^2 h

V = 1/3 pi (4)^2 ( 8.5)

  = 1/3 pi (16)(8.5)

Letting pi = 3.14

 =142.34666667

Rounding to the nearest tenth

  = 142.4

Answer:

29 degrees (~0.506 rad)

Yes. When a graph has more than one line it is a piece wise graph.

9514 1404 393

Answer:

  (-3, -2), (-2, -2), (-2, -3), (-3, -3)

Step-by-step explanation:

Dilation about the origin multiplies each coordinate value by the dilation factor. Here, every coordinate of the original image is multiplied by 1/2 to form the "enlargement." Since the scale factor is less than 1, the "enlarged" image will be smaller and closer to the origin.

The coordinates, clockwise from upper left, are ...

  (-3, -2), (-2, -2), (-2, -3), (-3, -3)

Answer:

T(n) = 4 + 12*n

Step-by-step explanation:

La pregunta completa se puede ver en la imagen de abajo.

En ella, podemos ver que:

La primera figura tiene: 16 palitos

la segunda figura, con n = 2, se añaden 3 palitos en cada extremo, por lo que tendremos 16 palitos + 4*3 palitos = (16 + 12) palitos

De manera similar, en la tercera figura se vuelven a añadir 3 palitos en cada extremo de la cruz, entonces esta figura tendrá:

(16 + 12) palitos + 4*3 palitos = (16 + 12 + 12) palitos.

Así, tenemos la relación:

T(1) = 16

T(2) = 16 + 12

T(3) = 16 + 12 + 12

Podemos asumir que la forma general será:

T(n) = 16 + 12*(n - 1)

podemos reescribir esto como:

T(n) = (12 + 4) + 12*(n - 1)

      = 4 + 12 + 12*(n - 1)

      = 4 + 12*n

La opción correcta es la primera.

Answer:

512 inches ^2

Step-by-step explanation:

The surface area is found by

SA = 2(lw+wh+hl)  where l is the length  h is the height and w is the width

SA = 2( 8*8 + 8*12 + 12 * 8)

   = 2(64+ 96+96)

    = 2 ( 256)

   = 512 inches ^2

Answer:

512 square inches

Step-by-step explanation:

8 x 8 = 64

12 x 8 = 96

64 x 2 = 128

96 x 4 = 384

128 + 384 = 512 in^2

Answer:

smart dot company would be c=.50t+12

communication plus would be c=2.50t

Step-by-step explanation:

smart dot starts with $12 a month and adds $0.50 for each hour of internet use. communication plus has no starting fee so it just adds $2.50 for each hour of internet use.

So then for the table you would put the number given for time in for the letter t and find what c would be. This would then find your cost for that amount of hours. To get you started smart dot company starts off with 0 hours so put that in for t being c=0.50(0)+12 and c=12. Communication plus also starts with 0 so it would be c=2.50(0) and c=0

Then you graph once you have both values you can graph having x=time and y=cost

Let me know if this helps!

The values of BMW after 2, 4 and 8 years  according to the EXPONENTIAL FUNCTION are $33,462, $20,358.28 and $7,535.63 respectively.

Using the parameters given, we define an decreasing exponential function :

[tex]A = A_{0} (1 - r)^{t}[/tex]

Where,

[tex]A_{0}[/tex] = initial amount ; r = Rate ; t = time ; A = final amount

Value after 2 years :

t = 2

A = 55000(1 - 0.22)²

A = 55000(0.78)²

A = $33,462

Value after 4 years :

t = 4

A = 55000(1 - 0.22)^4

A = 55000(0.78)^4

A = $20,358.28

Value after 8 years :

t = 4

A = 55000(1 - 0.22)^8

A = 55000(0.78)^8

A = $7,535.63

Therefore, the value of BMW after 2, 4 and 8 years are $33,462, $20,358.28 and $7,535.63 respectively.

Learn more about Exponential functions :

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Answer:

b^27

Step-by-step explanation:

Answer:

A. b^27

You multiply 9x3 and you get 27 with the base "b"

Step-by-step explanation:

Answer:

The profit or loss combined is $2.99

Step-by-step explanation:

Given;

cost price of first radio, CP = $25.50

profit percent, = 8%

The profit made is calculated as;

[tex]\frac{Profit}{CP} \times 100\% = \frac{SP-CP}{CP} \times 100\% = 8\%\\\\Profit = SP-CP = 0.08CP = 0.08\times \$25.50 = \$ 2.04[/tex]

Cost price of the second radio, CP = $6.30

loss percent = 15%

The loss incurred is calculated as;

[tex]\frac{Loss}{CP} \times 100\% = 15\%\\\\Loss = 0.15CP\\\\Loss = 0.15 \times \$6.30 = \$0.95[/tex]

The profit or loss combined = $2.04 + $0.95

                                               = $2.99

Answer:

1.02secs

Step-by-step explanation:

Using the equation of motion

v = u+at

Since the ball moves upward then:

a = -g

Substitute into the formula

v = u-gt

Given the following

Initial velocity u = 10m/s

Final velocity v = 0m/s (on the ground)

g = 9.8m/s²

Required

Time t

Substitute the given values into the formula

0 = 10-9.8t

-9.8t = -10

t = 10/9.8

t = 1.02secs

Hence your opponent have 1.02secs

Answer:

x= 12  or x = -12

Step-by-step explanation:

|x| means take the positive value of x

|x| =12

We make two equations one positive and one negative

x= 12  or x = -12

Neither statement 1, nor statement 2 are correct

The given Stephon's statements are;

Statement 1; [tex]\mathbf{\lim \limits _{x \to -3} f(x)} \ \mathbf{Exist} \ and \mathbf{\lim \limits _{x \to -3} f(x) = 1}[/tex]

Statement 2; [tex]\mathbf{\lim \limits _{x \to 1} f(x)} \ \mathbf{Exist} \ and \mathbf{\lim \limits _{x \to 1} f(x) = 1}[/tex]

The analysis of the graph and reason for the answer

From the graphed line on the left of the y-axis, we have an open circle at x = -3, and an arrow at the other end pointing towards negative infinity, (-∞) which indicates that the domain is -∞ ≤ x < -3, therefore, at x = -3, f(x) does not exist, therefore, we can write the following statement

The limits of the domain and range of the graph includes;

[tex]\mathbf{\lim \limits _{x \to -3} f(x)} = \mathbf{Does \ not \ exist}[/tex]

f(x) = Defined for -∞ ≤ x < -3

Similarly, from the graphed line on the right of the y-axis, we have an open circle at x = 1 and an arrow at the other end of the line f(x) = 4 pointing towards positive (+∞) infinity, which indicates the domain and the graph of the function is 1 < x ≤ ∞ , therefore, f(x) does not exist at x = 1, and we can write

[tex]\mathbf{\lim \limits _{x \to 1} f(x)} = \mathbf{Does \ not \ exist}[/tex]

From we above, we have that neither statement 1, nor statement 2 are correct

Learn more about open and closed circles on graph lines

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Answer:

Here we have:

p(m) = 2m^2 - 4m + 3

And we want to find p(13)

This means that we just need to replace all the m's by the  number 13 in the equation, so we get:

p(13) = 2*(m = 13)^2 - 4*(m = 13) + 3

p(13) = 2*(13)^2 - 4*13 + 3

       = 338 - 52 + 3 = 289

You can see that none of the options matches this, so maybe the equation or some other part of the question is written incorrectly, but here you have at least the general way of solving these type of problems.

Step-by-step explanation:

it is simple.

there is a constant speaking time of 25 minutes.

the duration of the meeting is the speaking time plus the question answering time.

so,

q = 1 means t = 25 + 1 = 26

q = 2 means t = 25 + 2 = 27

q = 3 means t = 25 + 3 = 28

q = 8 means t = 25 + 8 = 33

here it is :)

do check properly, I have given step by step instructions:)

do give feedback on my answer, would appreciate it!

Answer:

900000

Step-by-step explanation:

[tex]30*10^{4}[/tex]

=3*10000

=30000

=30*30000

=900000

Given that the vertex is at (50, 1000), the max profit is $1000 when 50 items are produced

Answer:

A) y=(1/4)x-1, 4y=x-4

B) y=-2x

Answer:

d may cause f.

Step-by-step explanation:

Here are the options

d must not cause f.

f must cause d.

d must cause f.

d may cause f.

Correlation is a statistical measure used to measure the relationship that exists between two variables.

1. Positive correlation : it mean that the two variables move in the same direction. If one variable increases, the other variable also increases.

For example, there should be a positive correlation between quantity supplied and price

When there is a positive correlation, the graph of the variables is upward sloping

2. Negative correlation :  it mean that the two variables move in different direction. If one variable increases, the other variable decreases.

For example, there should be a negative correlation between quantity demanded and price

When there is a negative correlation, the graph of the variables is downward sloping

3. Zero correlation : there is no relationship between the variables

Part (a)

The radius is r = 42 because OA = 42.

The circumference, aka distance around the circle, is

C = 2*pi*r

C = 2*(22/7)*42

C = 264

We're told that arc AB is 110 mm which is 110/264 = 5/12 of the full distance around the circle.

So we'll apply 5/12 to the full rotation 360 to get (5/12)*360 = 150

==============================================================

Part (b)

Compute the area of the full circle

A = pi*r^2

A = (22/7)*(42)^2

A = 5544

Then take 5/12 of this because we only want 5/12 of the full circle area (to get the area of the shaded pizza slice)

(5/12)*(5544) = 2310

==============================================================

Side note: Both answers are approximate because pi = 22/7 is approximate.

Answer:

11. 5%

Step-by-step explanation:

1 + percent increase = 1.115

Percent increase = 1.115 - 1 = 0.115 = 11.5 /100 = 11.5 %

Answer:

Step-by-step explanation:

In the exponential form of an equation, the growth or decay rate is found inside the parenthesis. The standard form of an exponential equation is

[tex]y=a(1+r)^x[/tex] if it's growth, or

[tex]y=a(1-r)^x[/tex] if it's decay.

Looking at those equations, logically a growth equation is greater than 1, while a decay equation is less than 1. Obviously, our function is a growth.

To determine the rate of growth, we look closely at (1.115) inside the parenthesis. BECAUSE that is greater than 1, we KNOW it is growth, therefore, it follows the (1 + r) pattern. Let's break up our (1.115) so it models that pattern:

(1.115) --> (1 + .115) and since these are percentages in their decimal form, it follows that 1 is 100% and .115 is 11.5%. Our growth rate is 11.5%