A new movie theater opens at the local mall. During the first month, the owner collected information
on how many customers they had throughout each day. The owner concluded that the number of
customers the theater has at any given moment can be represented by C(x) = -x2 + 11x where x
represents the number of hours that the movie theater has been open on a given day. The theater
opens at 12:00 PM.
At what time does the theater have no customers?
a.
11:00 PM
b. 5:30 PM
c. 2:00 PM
d. 8:30 PM

Answer:

Step-by-step explanation:

→ y² -16y +64

→ y²-8y-8y+64

→ y(y-8) -8(y-8)

→ (y-8) (y-8)

Step-by-step explanation:

1. We have to divide 4200 by a number which is a multiple of 10.

Let us assume that the number is 20, which is a multiple of 10.

Now, after division the quotient will be .

2. We have to check whether the quotient is multiple of 10 or not.

Here, the quotient is 210 which is a multiple of 10.

Hence, the required number which is a multiple of 10 is 20.

Answer:

  the correct choice is marked

Step-by-step explanation:

The tip is 20% of the bill:

  20% × $124.00 = $24.80

When that is added to the bill, the total is ...

  $124.00 +24.80 = $148.80

Answer:

A.

Step-by-step explanation:

You need to find 20% of the order to find the tip then add that to the original bill.

So, you need to solve 124x0.20 to get 24.80. That's the tip.

Next, add 124+24.80=148.80. There is your answer.

Hope you get an A! <3

Answer:

[tex]B = A + C \\ \\ C = B - A[/tex]

ANSWER-

Answer:

2(w - 6) > -15

Step-by-step explanation:

2(w - 6) > -15

⇒ 2w - 12 > -15

⇒ 2w > -3

⇒ w > -3/2

Answer:

None of them are correct as the correct one is 0.345 (maybe you made a typo when typing the options)

Step-by-step explanation:

We can make:

[tex]\frac{345}{1000}[/tex] which equals 0.345 km

Answer:

A=6 should be the answer.

Answer:A

Step-by-step explanation: Count the edges, which is 6

Answer:

32

Step-by-step explanation:

let both sides of equation be squared

((x+4)^½)² = 6²

x+4 = 36

x = 36-4

x = 32

Answer:

Step-by-step explanation:

Both are essentially same questions, considering 30 = 25 + 5.

Solving c)

Solution:

Part-C)

Part-D)

Hoped this helped!

Answer:

[tex]2x+3y-45=0[/tex]

Step-by-step explanation:

The slope of the line that goes through (18, 3) and (21, 1) is

[tex]\frac{1-3}{{21-18}}=\frac{-2}{3}\\[/tex]

The slope of the line that goes through (18, 3) and (x, y) is

[tex]\frac{y-3}{{x-18}}[/tex]

So

[tex]\frac{y-3}{{x-18}} = \frac{-2}{3}\\-2(x-18)=3(y-3)\\-2x+36=3y-9\\2x+3y-45=0[/tex]

Answer:

  a)  21, 34.5, 54.75, 85.125

Step-by-step explanation:

All of the answer choices differ in the first term, so that is the only one you need to figure here. However, we will do them all, so you can see it done.

We note that x > 0 for all of the values of x that we need to use. That means the recursive relation is the one we're using for computation.

f(1) = 3/2·f(0) +3 = (3/2)(12) + 3 = 18 +3 = 21 . . . . . . matches choice (a)

f(2) = 3/2·f(1) +3 = (3/2)(21) +3 = 63/2 +3 = 69/2 = 34.5

f(3) = 3/2·f(2) +3 = (3/2)(34.5) +3 = 51.75 +3 = 54.75

f(4) = 3/2·f(3) +3 = (3/2)(54.75) +3 = 82.125 +3 = 85.125

__

When you're computing for sequential input values, each depends on the previous value you computed.

_____

Additional comment

Using an exponential regression calculator (or spreadsheet), the explicit function can be found to be ...

  f(x) = 18·1.5^x -6

[tex] \tt \dfrac{1}{10} \times 315[/tex]

31.5 <---- Ans

Answer:

31.5

Step-by-step explanation

If you divide something by 10 you move the decimal over one place to the left.

315.0 / 10 = 31.5

Answer:

1. FH, 2. GH,  3.IH  4. GI,  5. FG

Step-by-step explanation:

According to a certain geometric theorem, the smallest angle is always opposite to the smallest side of a triangle. Likewise, the largest angle is always opposite to the largest side. Using this theorem we can properly order the angles and sides.

Additionally, the interior degrees of a triangle will always be 180, and the interior of this quadrilateral is 360 degrees. Using this we can determine the missing angles.

180 - 75 - 55 = 50 (first missing angle)

180 - 59 - 63 = 58 (second missing angle)

The smallest angle would be 50 degrees and the largest 75.

The second smallest is 55 degrees, the third smallest is 58 degrees, the fourth smallest is 59 degrees, and the fifth is 63 degrees.

Now, one thing that seems a bit confusing is the fact that GH is opposite to 2 different angles, so how do we know WHICH angle to use to find its length. From what I understand, we should be able to find the average of the two angles across from this side to see what its place would be in terms of length.

63 + 50 = 56.5

This would make side  GH larger than FH but less than HI

This is how I would solve the problem, and I think this is the correct order. Please let me know whether it turns out right.

Mark the formula/theorem below

Here

So the order is

Answer:

(5n + 4p)(5n + 4p)

Step-by-step explanation:

25n^2 + 40np + 16p^2

(5n)^2 + 2(5n)(2^2 * p) + (2^2 * p)^2

(5n + 2^2 * p)^2

(5n + 4p)^2 > (5n + 4p)(5n + 4p)

Answer:

okay?

how much? this isn't even a question!!

Answer:

2

y = (3 x 1) - 1

         ^

      x = 1

y = 3 - 1 = 2

y = 2

Answer:

12.22 would be her total cost after including 8% of tax.

Step-by-step explanation:

$2.29x3=$6.87

$6.87+1.89x2=$10.65

$10.65+$1.49=$12.14

$12.14+¢.08= $12.22

This is what I think is the answer from my work.

Answer:

 7/10

Step-by-step explanation:

1 yard = 3 feet

Then the given ratio is ..

21 feet : 10 yards = 7 yards : 10 yards = 7 : 10

As a fraction, the ratio is 7/10.

The cost per friend is $6.84.

The first step is to determine the total cost of the vegetables the two friends bought.

Total cost of the vegetables = ( 1 x $2.82) + 4.19 X 2 + (1.24 x 2) = $13.60

In order to determine the cost per friend, divide the total cost of the vegetables by the number of friends that purchased the items.

$13.6 / 2 = $6.84

To learn more about division, please check: https://brainly.com/question/194007

Solution:

Let's reread the part of the question carefully.

{one more} {than one third the number of dolls than Sally has}

       ↥                                                 ↥                          

       1                                                s/3

This means that Anne has s/3 + 1 dolls, which is 9 dolls.

Hence, the equation that represents the word problem is S/3 + 1 = A.

Answer:

Option A

Step-by-step explanation:

Given the following question:
Mrs. Hernandez earns $35.60 an hour
One week she earned $854.40

To find the answer we divide 8,544 by 356

[tex]8544\div356=24[/tex]
[tex]854.40\div35.60=24[/tex]

Mrs. Hernandez worked "24 hours last week" by using the first options equation, we can find that answer.

Hope this helps.

Answer

125,000 tons of garbage per landfill

Step-by-step explanation:

250 million total tons of garbage was sent to 2,000 landfills. Since it is assumed each landfill gets an equal amount of garbage, we can easily divide.

250,000,000 / 2,000 = 125,000 tons of garbage per landfill

henceforth, each landfill received 125,000 tons of garbage

The number of comedy DVDs will be equal to 604.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the total number of DVDs are 1830 and the percentage of comedy DVDs is 33%.

The number of comedy DVDs will be calculated as,

N = ( 1830 x 33%)

N = (1830 x 33 ) / 100

N = 604

Therefore, the number of comedy DVDs will be equal to 604.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

Answer:

1. B
2. A
3. D
4. C

The marginal cost that can be deduced from the information given about the company is 40e^-t.

Marginal cost simply means the change in production cost due to an additional unit produced.

From the complete question, the cost function is given as 60 - 40e^-t. Therefore, the marginal cost will be:

C'(t) = d/dt (60 - 40e^-t)

= d/dt (60) - 40 d/dt (etc)

= 0 - 40(-1)e^-t

= 40 e^-t.

Learn more about marginal cost on:

https://brainly.com/question/16615264