Community Theater Owner A community theater currently sells 200 season tickets at $50 each. In order to increase its season-ticket revenue, the theater surveys its season ticket holders to see if they would be willing to pay more. The survey finds that for every $5 increase in the price of a season ticket, the theater would lose 10 season-ticket holders. What action, if any, should the theater owner take to increase revenue? a. Let n be the number of $5 price increases in the cost of a season ticket. Write an expression for the cost of a season ticket after n price increases, and an expression for the number of season-ticket holders after n price increases. b. Use the expressions from part a to create a revenue function, R (n) , from the survey information. c. Graph the revenue function. Be sure to label the axes with the quantities they represent and indicate the axis scales by showing numbers for some grid lines.

Answer:

[tex]2h^{2} + 7hk - 15k^{2}[/tex]

Step-by-step explanation:

Distribute (2h − 3k)(h + 5k).

2h^2 + 10hk - 3hk - 15k^2

2h^2 + 7hk 15k^2

Answer:

1,014

Step-by-step explanation:

Assuming those 13’s represent the Length and Width of the sides of the prism, the equation would be

13x13x6 (6 sides)

=1014

Answer:

507

Step-by-step explanation:

apeex

Answer:

not quite sure what this is asking for but the average speed is 7800/11

Answer:

3 or 3/1

Step-by-step explanation:

Slope is also known as rise/run.

The formula used to find slope is y^2-y^1/x^2-x^1.

The work is below:

-1-5/0-2

-6/-2

3/1

m=3

When we calculate the slope using the formula, we find that the slope(m) equals to 3/1 or 3 which means that you rise up by 3 and run to the right 1.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

The slope of the line through (0, 5) and (-2, -1) will be 3 or 3/1.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same). A measure of steepness is a slope. When building roads, one must determine how steep the road will be. These are some examples of slopes in real life.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given the line is passed through the following points,

(x₁,y₁)=(0, 5)

(x₂,y₂)=(-2, -1)

The slope of the line is found as,

m=(y₂-y₁) / (x₂-x₁)

Substitute the given values,

m=-(1-5)/(0-2)

m=(-6)/(-2)

m=3/1

The slope(m) equals 3/1, or 3 when we compute the slope using the formula, meaning that you rise up by 3 and move to the right by 1.

Thus, the slope of the line through (0, 5) and (-2, -1) will be 3 or 3/1.

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Hello!

Answer:

f(x) = (x + 4)² - 4

Step-by-step explanation:

Write the equation f(x) = x² + 8x + 12 in vertex form by completing the square:

f(x) = (x² + 8x + (8/2)²) + 12 - (8/2)²

Simplify:

f(x) = (x² + 8x + 16) + 12 - 16

Subtract to find the 'k' value:

f(x) = (x + 4)² - 4. This is the equation in vertex form.

Answer:same here

Step-by-step explanation:

Answer: either 5, 5, 14

First, we know the median is 5.  Thus, the middle value of the data is 5, so the set can now be read x, 5, y.  Then, because the mode is 5 and the set is not trimodal, either x or y must be 5.  Thus, the set could either be 5, 5, 14, or

-4, 5, 5.  However, because it must contain only positive number, the answer is 5, 5, 14

Hope it helps <3

The three positive numbers will be 5, 5 and 14.

In this case, we've been given 2 of the numbers to be 5.

Then, the last number will be:

x - 5 = 9

x = 9 + 5

x = 14

Therefore, the three positive numbers are 5, 5 and 14.

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Hi,

[tex]3x - 9 = 5(x-3)\\3x - 9 - 5(x-3)= 0\\3x -9 -5x +15 =0\\6-2x=0\\6=2x\\x=3[/tex]

Have a good day.

Answer:

4 cm (A)

Step-by-step explanation:

triangle BAC is just a larger version of triangle EAD. given that ED is 5cm, and BC is 10cm, triangle BAC must be twice the size of EAD. since the ratio of AD to ED is 4:5, and BC is twice the size, all we need to do is multiply both sides by 2 to find length AC. 4*2 = 8. now we can subtract length AD from AC to get CD. 8 - 4 = 4.

sorry if what i wrote is a little confusing

Answer:

5x+2y=48 or 5x-12y=-8

The value of x is 5 and y is 4.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

The Equations are:

5x - 12y= -8...................(1)

and, 5 x + 2 y = 48 ..................(2)

Solving the Equation (1) and (2) we get

-12y -2y = -8 - 48

-14y = -56

y= -56 /(-14)

y = 4

and, 5x +2y= 48

5x + 8 = 48

5x= 40

x= 5

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Answer:

2. sinθ= cos 35°

sinθ= sin(90°-35)

θ= 55°

3. cos4θ= sin5θ

cos 4θ= cos (90-5θ)

4θ=90°-5θ

collect like terms

4θ+5θ=90°

9θ=90° (divide both sides by 9)

therefore θ=10°

Answer:

a. 51

Step-by-step explanation:

[tex]t_{n} =a+(n-1)d[/tex]

201 = 1 + (n - 1)4

200 = (n - 1)4

50 = n - 1

51 = n

Answer:

|-101|  > -85

Step-by-step explanation:

|-101| __ -85

The absolute value is taking the positive value

101 __ -85

101 is greater than -85

|-101|  > -85

Answer:

>

Step-by-step explanation:

Answer:

A.) Option C

B.) Option A

Step-by-step explanation:

A.) Rita is delivering a pizza to Mark's house. We will assume she is starting from rest as She drives at a constant speed toward the house until she hits a traffic jam and has to stop for several minutes. On the graph, the line will be horizontal as she stop for some time.

After, she starts up again and drives at a faster speed than before. The slope of the latter will be greater than the former.

Since the graph is distance - time graph, the best graphical representation for this illustration is C

B.) The is a speed - time graph.

At constant speed, the graphical line will be horizontal. As Chau speed up, that means he accelerated and increased the speed. The slope of the line will be positive. And finally, as he slow down, the car will be decelerating. The slope of the graph will be negative.

The correct graphical representation for this illustration is A

Answer:

8

Step-by-step explanation:

If you want the dot product, here it is:  (0)(0) + (-2i)(4i) = 8

Answer:

see below

Step-by-step explanation:

6r = 72

We need to divide each side by 6, not subtract 6 from each side

6r/6 = 72/6

r = 12

Answer:

Brooke's solution is incorrect

Divide both sides by 6

r=12

Step-by-step explanation:

The equation is:

6r=72

Brooke solved the equation like so:

6r-6=72-6

r=66

Brooke's solution is incorrect. She subtracted 6 from both sides of the equation.

Here is how the equation should be solved:

6r=72

We want to solve for r, so we have to get r by itself. 6 and r are being multiplied (6*r=6r). The inverse of multiplication is division, so we must divide both sides by 6 (not subtract 6 from both sides).

6r/6=72/6

r=72/6

r=12

Brooke's solution is incorrect. She subtracted 6 instead of dividing by 6. The correct solution is r=12.

Answer:

Purple line: 4

Red dashed line: 2

Blue line: 1/2

Step-by-step explanation:

The purple line is the steepest line, therefore it has the biggest constant of proportionality or slope. Since 4 is the biggest number among the others, we attribute it to the purple line (the one with the point C on it).

Think of it this way:

[tex]y = ax+b \\[/tex]

here [tex]b = 0[/tex] so [tex]y = ax[/tex]

The greater a is, the greater y is. So for any value of x, y will be become bigger and bigger if we increase the value of a.

Take for example this one:

[tex]y = 2x \\[/tex]

Take [tex]x=2\\[/tex] therefore [tex]y =4[/tex]

Now take [tex]y = 4x[/tex] and take [tex]x =2[/tex] therefore [tex]y = 8[/tex]

When we increased this constant of proportionality, as you can see from 2 to 4, the value of y increase from 4 to 8.

Hope this is helpful. Think of it really carefully, and I'm sure you'll grasp the concept.

Answer:

the answer is the last one

Step-by-step explanation:

it is in form of f(x) = mx + b and mx is the slope and b is the y intercept

Answer:

f(x)= 2x - 6

Step-by-step explanation:

Answer:

15 units

Step-by-step explanation:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(9 - (-6))² + (8 - 8)²]

d = √[(15²) + (0²)]

d = √15²

d = 15

Answer:

15 units

Step-by-step explanation:

9-(-6) = 15

Answer:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Step-by-step explanation:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

The equivalent statement for the given statement -  It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.

The De Morgan's law states that → ~(p ∧ q) is same as (~ p ∨ ~ q). Theoretically, we can write it as → Not (A and B) is the same as Not A or Not B.

Given is the following statement - It is not the case that a gun and a nose are both weapons.

Now, we know that the De Morgan's law states that → Not (A and B) is the same as Not A or Not B. In the statement given -

A = gun

B = nose

~(p ∧ q) = Not(A ∧ B)

So, we can write it as -

~(p ∧ q) =  Not(A ∧ B) = A gun is not a weapon or a nose is not a weapon.

where -

A gun is not a weapon → ~p

or → ∨

a nose is not a weapon → ~q

Therefore, the equivalent statement for the given statement -  It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.

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Answer:

The bearing from Atlanta to Canada is 220 degrees

Step-by-step explanation:

Given

Represent Canada with C and Atlanta with A

Bearing from C to A = 040

Required

Determine the bearing from A to C

This concept is referred to as Back Bearing and it's calculated as follows.

Because the front bearing is less 180 (040, to be precise), we have to add it to 180 to get the back bearing;

Hence,

[tex]A\ to\ C\ =\ 180\ + C\ to\ A[/tex]

Substitute 040 for C to A

[tex]A\ to\ C\ =\ 180\ + 040[/tex]

[tex]A\ to\ C\ =\ 220[/tex]

Hence, the bearing from Atlanta to Canada is 220 degrees

Answer:

a. 0.2061*2000 apples = 412.20 or about 412 apples.

b. 0.2389*2000 apples = 477.8 or about 478 apples.

Step-by-step explanation:

We have to find the corresponding probabilities using the standard normal table (or also we can use statistics software for doing this).

The parameters for this normal distribution are (without using units):

The mean, [tex] \\ \mu = 8.2[/tex].

The standard deviation, [tex] \\ \sigma=2.8[/tex]

We need to use z-scores, given by:

[tex] \\ z = \frac{x-\mu}{\sigma}[/tex]

For a diameter smaller than 5.9cm, we have:

[tex] \\ z = \frac{5.9-8.2}{2.8}[/tex]

The value for z:

[tex] \\ z = -0.82142 \approx -0.82[/tex]

Then, find the cumulative probability for this z, P(z<-0.82), using the standard normal table (for this, use -0.8 (in right column), and -0.02 in the first row of the table).

Then, P(z<-0.82) = 0.2061

How many apples would have a diameter: a) smaller than 5.9cm?

The answer is 0.2061*2000 apples = 412.20 or about 412 apples.

How many apples would have a diameter: b) larger than 10.2cm?

We can proceed similarly as before. Calculate z, find the cumulative probability using the standard normal table.

[tex] \\ z = \frac{10.2-8.2}{2.8}[/tex]

[tex] \\ z = 0.71428 \approx 0.71[/tex]

Then, P(z<0.71) = 0.7611

But we are asked for P(z>0.71), then (because of the symmetry of the normal distribution):

P(z>0.71) = 1 - P(z<0.71)

P(z>0.71) = 1 - 0.7611

P(z>0.71) = 0.2389

The answer is 0.2389*2000 apples = 477.8 or about 478 apples.

Answer::

Choice B : fleur has enough boards but not enough nails

Answer:

Fleur has enough boards but not enough nails.

Step-by-step explanation:

T = 3

C = 9

substitute

Answer:

1.) 3/5

2.) 3/10

3.) 50

Step-by-step explanation:

i believe my answers are right, they might be wrong. I'm not that old so I can't solve most of these problems.

1.) to get this, you need to multiply the remaining shirts and 2/3

2.) subtract 1/10, and 3/5 from 1, which equals 3/10

3.) is 3/10 is equal to 15, then 1/10 is equal to 5, 5*10=50

Answer:

1) 3/5

2) 3/10

3) 35

Step-by-step explanation:

For majority of the questions, you just have to multiply the numbers together. I think all of them is right... T-T

sry if its wrong.. :|

Answer:

This is not an exponential function because the variable is in the exponent position.

Answer: x ≤ -14

Step-by-step explanation:

3 - [tex]\frac{1}{2}[/tex]x ≥ 10

1) You want to subtract 3 from both sides of the equation: 3 - [tex]\frac{1}{2}[/tex]x ≥ 10

                                                                                               -3           -3

                                                                                          ------------------------

2) Once you subtract 3 from both sides of the equation you'll be able to cancel out 3-3.

3) After, you'll be left with; -[tex]\frac{1}{2}[/tex]x ≥ 7

4) You'll then want to divide both sides by -[tex]\frac{1}{2}[/tex] to isolate x.

5) Divide 7 by -[tex]\frac{1}{2}[/tex]

6) X ≥ -14, but then you'll want to flip the inequality since you divided by a negative.

7) X ≤ -14

Answer:

92°

Step-by-step explanation:

We know that [tex]\overline{QV}[/tex] is a straight line which means that we know that ∠QTU + ∠VTU = 180

11x+4+∠VTU = 180

∠VTU = 180-11x-4

∠VTU = 176-11x

Then, using the triangle inequality, we know that ∠VTU+∠TUV+∠UVT = 180

3x+14+54+176-11x=180

-8x+244=180

-8x = -64

x=8

Now we can substitute and solve for ∠UTQ

11(8)+4 = 88+4 = 92°

Answer: 92°

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

(x - 2)^2 + (y - 4)^2 = 9

The equation of a circle is written as

(x-h)^2+ (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x - 2)^2 + (y - 4)^2 = 3^2

The center is ( 2,4) and the radius is 3

Answer:

r = 3

Step-by-step explanation:

The stock equation for a circle of center (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.  Comparing this with the given (x - 2)^2 + (y - 4)^2 = 9, we see that r^2 must be 9 and therefore r = 3.

Answer:

80$

Step-by-step explanation:

total amount of needed=200

Total =Tef +Angelina+Jason

200=90+30+Angelina

Angelina=200-120

Angelina=80$