1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bond [772]
3 years ago
7

An amusement park is open for 15 hours a day, 7 days a week

Mathematics
1 answer:
sertanlavr [38]3 years ago
3 0

Answer:

The domains are;

0 < x < 3 for f(x) = 15

3 ≤ x ≤ 7 for f(x) = 22

7 < x ≤ 15 for f(x) = 30

Step-by-step explanation:

The duration the amusement park is opened, t = 15 hours

The number of days the amusement is opened = 7 days a week

The prices for the admission are;

x < 3 hours = $15

3 ≤ x ≤ 7 hours = $22

x > 7 hours = $30

The functions are;

f(x) = 15 when x < 3; The domain = 0 < x < 3

f(x) = 22 when 3 ≤ x ≤ 7; The domain = 3 ≤ x ≤ 7

f(x) = 30 when x > 7; The domain = 7 < x ≤ 15.

You might be interested in
Help: Scientists think the _____ is a solid iron with a layer of liquid iron surrounding it.
Alex_Xolod [135]
<span>The inner core is made of solid iron, and it is surrounded by the liquid iron of the outer core. It is solid because the extreme pressure at the center of the earth prevents it from melting, despite the unimaginable temperatures.</span>
3 0
3 years ago
A block of cheese has a volume of 280 cm3 and a mass of 230 g.
Leviafan [203]

Answer:

2.7g/cm^3

step-by-step explanation:

6 0
2 years ago
Write the integral that gives the length of the curve y = f (x) = ∫0 to 4.5x sin t dt on the interval ​[0,π​].
Troyanec [42]

Answer:

Arc length =\int_0^{\pi} \sqrt{1+[(4.5sin(4.5x))]^2}\ dx

Arc length =9.75053

Step-by-step explanation:

The arc length of the curve is given by \int_a^b \sqrt{1+[f'(x)]^2}\ dx

Here, f(x)=\int_0^{4.5x}sin(t) \ dt interval [0, \pi]

Now, f'(x)=\frac{\mathrm{d} }{\mathrm{d} x} \int_0^{4.5x}sin(t) \ dt

f'(x)=\frac{\mathrm{d} }{\mathrm{d} x}\left ( [-cos(t)]_0^{4.5x} \right )

f'(x)=\frac{\mathrm{d} }{\mathrm{d} x}\left ( -cos(4.5x)+1 \right )

f'(x)=4.5sin(4.5x)

Now, the arc length is \int_0^{\pi} \sqrt{1+[f'(x)]^2}\ dx

\int_0^{\pi} \sqrt{1+[(4.5sin(4.5x))]^2}\ dx

After solving, Arc length =9.75053

5 0
3 years ago
Please help and thank you
Scilla [17]

The answer is B.

Hope this helps!

6 0
2 years ago
Please answer-
yarga [219]

The absolute value of -2.65 is positive 2.65

therefore the answer is D. 2.6 and 2.7

7 0
2 years ago
Read 2 more answers
Other questions:
  • 2. Alicia is writing the program for a video game. For one part of the game she uses the rule to move points on the screen.
    10·1 answer
  • 1,258 rounded to rhe nearest thousand is
    14·2 answers
  • Which expression is equivalent to 42 + 30?
    14·1 answer
  • What are the possible prices an item when the discount is 15% and the price is $150
    5·1 answer
  • Given right triangle DEF, what is the value of tan(F)?
    13·1 answer
  • Please help me with the middle question
    5·1 answer
  • circle a has a radius of 7 and arcs rc cs and sm are congruent to the nearest hundereth what is the length of arc rc
    15·1 answer
  • Write two different pairs of decimals whose sums are 8.69. one pair should involve regrouping.
    14·2 answers
  • Find the value of x for the right triangle.<br> 45°<br> х<br> 10
    13·2 answers
  • adult tickets to the fall play cost $8 in student tickets cost $4. The drama class sold 20 more adult tickets than student ticke
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!