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
vagabundo [1.1K]
3 years ago
15

The number of visitors to a park is expected to follow the function v(x) = 8(x − 1), where x is the number of days since opening

. On the first day, there will be a ceremony with 32 people in attendance. What is the function that shows total visitors, including the ceremony?
Mathematics
1 answer:
mina [271]3 years ago
5 0
You have the function v(x) = 8(x − 1), where x <span>is the number of days since opening.

 </span><span>On the first day, there will be a ceremony with 32 people in attendance.

 Therefore, keeping the information above on mind, the </span><span>function that shows total visitors, including the ceremony is:

 f(x)=8(x-1)+32

 So, as you can see, the answer is: 
</span>
 f(x)=8(x-1)+32
You might be interested in
PLEASE I NEED HELP CLICK ON THIS IMAGE
harkovskaia [24]

Answer:

24 miles per hour.

Step-by-step explanation:

you divide 144 by 6 to get 24.

5 0
2 years ago
Read 2 more answers
Change each of the following points from rectangular coordinates to spherical coordinates and to cylindrical coordinates.
FromTheMoon [43]

Answer and Step-by-step explanation: Spherical coordinate describes a location of a point in space: one distance (ρ) and two angles (Ф,θ).To transform cartesian coordinates into spherical coordinates:

\rho = \sqrt{x^{2}+y^{2}+z^{2}}

\phi = cos^{-1}\frac{z}{\rho}

For angle θ:

  • If x > 0 and y > 0: \theta = tan^{-1}\frac{y}{x};
  • If x < 0: \theta = \pi + tan^{-1}\frac{y}{x};
  • If x > 0 and y < 0: \theta = 2\pi + tan^{-1}\frac{y}{x};

Calculating:

a) (4,2,-4)

\rho = \sqrt{4^{2}+2^{2}+(-4)^{2}} = 6

\phi = cos^{-1}(\frac{-4}{6})

\phi = cos^{-1}(\frac{-2}{3})

For θ, choose 1st option:

\theta = tan^{-1}(\frac{2}{4})

\theta = tan^{-1}(\frac{1}{2})

b) (0,8,15)

\rho = \sqrt{0^{2}+8^{2}+(15)^{2}} = 17

\phi = cos^{-1}(\frac{15}{17})

\theta = tan^{-1}\frac{y}{x}

The angle θ gives a tangent that doesn't exist. Analysing table of sine, cosine and tangent: θ = \frac{\pi}{2}

c) (√2,1,1)

\rho = \sqrt{(\sqrt{2} )^{2}+1^{2}+1^{2}} = 2

\phi = cos^{-1}(\frac{1}{2})

\phi = \frac{\pi}{3}

\theta = tan^{-1}\frac{1}{\sqrt{2} }

d) (−2√3,−2,3)

\rho = \sqrt{(-2\sqrt{3} )^{2}+(-2)^{2}+3^{2}} = 5

\phi = cos^{-1}(\frac{3}{5})

Since x < 0, use 2nd option:

\theta = \pi + tan^{-1}\frac{1}{\sqrt{3} }

\theta = \pi + \frac{\pi}{6}

\theta = \frac{7\pi}{6}

Cilindrical coordinate describes a 3 dimension space: 2 distances (r and z) and 1 angle (θ). To express cartesian coordinates into cilindrical:

r=\sqrt{x^{2}+y^{2}}

Angle θ is the same as spherical coordinate;

z = z

Calculating:

a) (4,2,-4)

r=\sqrt{4^{2}+2^{2}} = \sqrt{20}

\theta = tan^{-1}\frac{1}{2}

z = -4

b) (0, 8, 15)

r=\sqrt{0^{2}+8^{2}} = 8

\theta = \frac{\pi}{2}

z = 15

c) (√2,1,1)

r=\sqrt{(\sqrt{2} )^{2}+1^{2}} = \sqrt{3}

\theta = \frac{\pi}{3}

z = 1

d) (−2√3,−2,3)

r=\sqrt{(-2\sqrt{3} )^{2}+(-2)^{2}} = 4

\theta = \frac{7\pi}{6}

z = 3

5 0
3 years ago
-120 = -8x what is x ?
lora16 [44]

Answer:

- 15 is your answer.

I hope it will help you a lot.

4 0
3 years ago
Read 2 more answers
A television station is interested in predicting whether or not voters are in favor of an increase in the state sales tax. It as
slamgirl [31]

Answer: (C) the 2633 viewers who phoned in.

Step-by-step explanation:

In statistics , a sample is a countable subset of a large population that represents the entire population.

Given : A television station is interested in predicting whether or not voters are in favor of an increase in the state sales tax.

It asks its viewers to phone in and indicate whether they support or are opposed to an increase in the state sales tax in order to generate additional revenue for education.

Of the 2633 viewers who phone in, 1474 (55.98%) are opposed to the increase.

i.e. 1474 out of 2633 viewers opposed to the increase.

Clearly , 2633 viewers are representing the entire population of viewers.

Hence, the sample obtained is the 2633 viewers who phoned in.

8 0
3 years ago
Pick the number of the equation that matches this sentence. Four times a number less 10 is equal to 16.
Katen [24]

Answer:

2. 4(x-10) = 16

7 0
2 years ago
Other questions:
  • Find the slope-intercept of the line whose slope is 7 and passes through the point (-5,12).
    5·1 answer
  • Graph g(x) = 72 + 2] – 3.
    9·1 answer
  • Explain how to write 5/8 as a product of a whole number and a unit fraction
    14·1 answer
  • Explain how to find the greatest number of identical arrangements that can be made with 54 roses and 42 tulips with no flowers l
    12·2 answers
  • If f(x)= 6x and g(x)= 4x+1, find (f o g)(x)<br><br>a. 24x^2+6x<br>b. 24x+1<br>c. 24x+6<br>d. 10x+1
    14·1 answer
  • Write an equation that you can use to find the value of x. Perimeter of square: 30 mm
    14·1 answer
  • The mean of this set of numbers <br> {20, 30, 40, 50, 60, 70, 80} is??
    14·2 answers
  • 40% of a nurse’s time is spent dispensing medicine to patients. If 16 hours per week is spent dispending medicine, how many hour
    10·1 answer
  • After losing the __________, the Chinese government was forced to make reparation payments to Britain.
    7·2 answers
  • PLEASE ANSWER ASAP<br> expand and simplify the following:<br> a) (√6+√3)(√6-√3) b)(√5-√2)(√2+√5)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!