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zvonat [6]
2 years ago
12

A local drive in theatre sells entrance tickets for cars on weekend nights. At compacity, the drive in can hold 72 cars. The fun

ction C(n)=25n represents the drive in' s revenue on a weekend night, where n represents the number of cars. In this situation, what is the domain of C(n)
Mathematics
2 answers:
Deffense [45]2 years ago
8 0

Answer with explanation:

On the Weekend night, Number of cars that Drive in Can Hold =72

Minimum number of cars that can be on any weekend night = 0

Maximum number of cars that can be on any weekend night = 72

It is also given that, C(n)= 25 n, represents the drive in's revenue on a weekend night.

As, the, 0≤ number of cars(n) ≤ 72 , where n=1,2,3,4,5,6.......72.

So→, 25 × 0 ≤ C (n) ≤ 25 × 72

→ 0 ≤ C(n) ≤ 1800

So, if number of cars,

0≤ (n) ≤ 72, then

0 ≤ C(n) ≤ 1800

Domain of C(n) =[0,1800],for, n∈[0,72]

Paraphin [41]2 years ago
4 0
All positive integers less than or equal to 72<span />
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The diagram shows a right angled triangle.
uysha [10]

Answer:

6 root 2

Step-by-step explanation:

Pythagous Therom

A^2 = B^2 + C^2

B^2 = C^2 - A^2

B^2 = 36 - (2 Root 3)^2

B^2 = 24

B = 2 root 6

Base x Height / 2 for area of Triangle

2 root 3 x root 24 = 12 root 2

12 root 2 / 2 = 6 root 2

4 0
3 years ago
5) Derek was surfing through the internet for a good deal on t-shirts. Help Derek find the
AlladinOne [14]

Answer:

The first one

Step-by-step explanation:

To figure out which one is the best deal, for each one how much <em>one</em> t-shirt costs.

<u>First deal:</u>

3 t-shirts for $28.95

To figure out how much money one t-shirt would cost, you divide $28.95 by 3.

1 t-shirt = 28.95/3 = $9.65.

<u>Second deal:</u>

4 t-shirts for $39

Same thing as the last one, except since there are 4 t-shirts you divide $39 by 4.

1 t-shirt = 39/4 = $9.75

<u>Third deal:</u>

5 t-shirts for $49.95

This time you will divide 49.95 by 5.

1 t-shirt = 49.95/5 = $9.99

The last step is to compare the three deals, and since you are trying to find the one that costs the <em>least</em> you can see that the first deal is the best one, because $9.65 per shirt is cheaper than $9.75 and $9.99

5 0
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Which of the following is an rational number?
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7 0
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If you have 4 gallons of sweet tea, how many cups is this?
Angelina_Jolie [31]

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Step-by-step explanation:

6 0
2 years ago
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let t : r2 →r2 be the linear transformation that reflects vectors over the y−axis. a) geometrically (that is without computing a
tangare [24]

(a) ( 1, 0 ) is the eigen vector for '-1' and ( 0, 1 ) is the eigen vector for '1'.

(b)  two eigen values of 'k' = 1, -1

for k = 1, eigen vector is \left[\begin{array}{c}0\\1\end{array}\right]

for k = -1 eigen vector is \left[\begin{array}{c}1\\0\end{array}\right]

See the figure for the graph:

(a) for any (x, y) ∈ R² the reflection of (x, y) over the y - axis is ( -x, y )

∴ x → -x hence '-1' is the eigen value.

∴ y → y hence '1' is the eigen value.

also, ( 1, 0 ) → -1 ( 1, 0 ) so ( 1, 0 ) is the eigen vector for '-1'.

( 0, 1 ) → 1 ( 0, 1 ) so ( 0, 1 ) is the eigen vector for '1'.

(b) ∵ T(x, y) = (-x, y)

T(x) = -x = (-1)(x) + 0(y)

T(y) =  y = 0(x) + 1(y)

Matrix Representation of T = \left[\begin{array}{cc}-1&0\\0&1\end{array}\right]

now, eigen value of 'T'

T - kI =  \left[\begin{array}{cc}-1-k&0\\0&1-k\end{array}\right]

after solving the determinant,

we get two eigen values of 'k' = 1, -1

for k = 1, eigen vector is \left[\begin{array}{c}0\\1\end{array}\right]

for k = -1 eigen vector is \left[\begin{array}{c}1\\0\end{array}\right]

Hence,

(a) ( 1, 0 ) is the eigen vector for '-1' and ( 0, 1 ) is the eigen vector for '1'.

(b)  two eigen values of 'k' = 1, -1

for k = 1, eigen vector is \left[\begin{array}{c}0\\1\end{array}\right]

for k = -1 eigen vector is \left[\begin{array}{c}1\\0\end{array}\right]

Learn more about " Matrix and Eigen Values, Vector " from here: brainly.com/question/13050052

#SPJ4

6 0
1 year ago
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