The function f(x) = 100x + 300 represents the cost for the physics club to attend science weekend at

the local theme park where x represents the number of students who attend. At least 4 students but

no more than 9 students will attend the fieldtrip due to transportation and chaperone restrictions.

9. Is this a discrete or continuous situation? Explain.

Answers

Answer 1

Answer:

Discrete

Step-by-step explanation:

Given the function:

f(x) = 100x + 300

Where ;

x = number of attendees

At least 4 students but no more than 9 students will attend the fieldtrip due to transportation and chaperone restrictions

Range of attendees :

4 ≤ x ≤ 9

Is this a discrete or continuous situation?

It is a discrete because the number of students who will attend the science weekend are finite and countable.

The number of attendees range from:

4, 5, 6, 7, 8 and 9.


Related Questions

Help please asappp!!!!!!

Answers

The answer is x=17. Remember linear pair means they both =180 degrees together

x=17

See attached picture

what's X equal, I don't know ahah-

3x-3 (x+ 1) = 3​

Answers

Answer:

The answer is~ no solution

Step-by-step explanation:

its no solution because

3x−3(x+1)=3

Step 1: Simplify both sides of the equation.

3x−3(x+1)=3

3x+(−3)(x)+(−3)(1)=3(Distribute)

3x+−3x+−3=3

(3x+−3x)+(−3)=3(Combine Like Terms)

−3=3

−3=3

Step 2: Add 3 to both sides.

−3+3=3+3

0=6

Answer:

There are no solutions.

The function f(x) is translated left 3 units, down 2 units and is reflected across the x-axis to make the
new function g(x). Which of the following best represents g(x)

Answers

Answer:

2,3 is the paired fraction

Step-by-step explanation:

May you please help me with my geometry. ​

Answers

Answer:

uhm

Step-by-step explanation:

helppp me agin guysssssss

Answers

Answer: 13x -8y

Hey there!

To get started we need to figure out what the equation is by remembering the sum is addition.

6x-y + 7x-7y

Then we need to combine like terms

(6x+7x) (-7y-y)

to get...

13x-8y

Solve for j.

j² − 36 = 0

Write your answers as integers or as proper or improper fractions in simplest form.

j =
or j =

Answers

Answer:

( J - 6 ) × (J + 6 )

Step-by-step explanation:

j^2 -6^2

( J - 6 ) × ( j + 6 )

The area of a rectangle is modeled by the graph where y is the area (in square meters) and x is the width (in meters).

What dimensions result in the maximum area?

A rectangle_ meters by_ meters results in the maximum area.

Answers

Answer:

The dimensions that result in the maximum area are therefore;

Width = 3.5

Height = 3.5

Step-by-step explanation:

The given parameters are;

The area of the rectangle, y = x × h

Where;

x = The width of the rectangle

h = The height of the rectangle

By examination, we have;

x + h = 7

Therefore, x = 7 - h

Which gives;

y = x × (x - 7) = x² - 7·x

y = x² - 7·x

At x = 0, y = 0

At x = 7, y = 0

However, at x = 1, y = -6

Therefore, the function should be, y = -(x² - 7·x)

The maximum occurs where dy/dx = 0, which gives;

dy/dx = d-(x² - 7·x)/dx = 0

dy/dx = 2·x - 7 = 0

2·x - 7 = 0

x = 7/2 = 3.5

On second derivative, we have;

d²y/dx² = 2, which gives a local minimum

x = 3.5 at maximum height

Which give, the maximum height, [tex]y_{max}[/tex] = -(x² - 7·x) at x = 3.5

∴ [tex]y_{max}[/tex] = -(3.5² - 7×3.5) = 12.25

The maximum height = 12.25

The dimensions that result in the maximum area are therefore;

Width, x = 3.5

Height, h = 7 - x = 7 - 3.5 = 3.5

Height, h = 3.5.

Here goes another question

Answers

Answer:

y = x - 8

Step-by-step explanation:

In order to solve this, we need to use point-slope form.:

y - y1 = m(x - x1)

Substitute the numbers into the equation:

y - (-8) = 1(x - 0)

y + 8 = x

y = x - 8

the answer would be y=x-8 ...!

Solve for d in the proportion.

10/15 equals d/12

Answers

Answer:

8

Step-by-step explanation:

Since there are two fractions, it is easiest to cross multiply the fractions before doing anything else. Basically:

10/15 = d/12  becomes 120 = 15d.

then you just divide 15 to both sides to get your answer:

d = 120/15, which is the equivalent of d = 8.

Find the product of 4^2 x 3 ^6

Answers

Answer: 11664

I think

Answer:

11,664

Step-by-step explanation:

4^2 x 3^6

16 x 729

11,664

If anyone can read my teachers bad handwriting, please help me it is 1:30 in the morning and if someone does this for me I will be giving them a cookie and hugs::):):)

Answers

Answer:

she wrote: (3,1) (6,1) (6,4)

1 step one R (X-axis) -->   step two R (180°,0) --> step three R (Y-axis)

(I honestly have no clue what she is doing but, its stupid)

Lin read 44 pages in 132 minutes. Diego read 35 pages in 140 minutes. Who is reading at a faster rate, Lin or Diego? Show and Explain your reasoning.

Answers

Answer:

Diego

Step-by-step explanation:

divide 132 minutes by 44 pages and you get 3 pages per minute, then divide 140 minutes by 35 pages and you will get 4 pages per minute. so Diego reads 1 more page a minute than lin. hope i helped you :)

What's the slope and y-intercept of the 2 points: (1, -7) (-5, 0)

Answers

Answer:

Slope is -7/6. Y - intercept is -35/6

Step-by-step explanation:

Hope this helps!


this is kinda confusing but it says “if 1 cm represents 2 meters, how long would each measurement be on an actual basketball court?”

Answers

Answer:

28 m15 m24.8 m1.0 m

Step-by-step explanation:

The given statement is the scale factor:

  [tex]\dfrac{\text{scale distance}}{\text{actual distance}}=\dfrac{1\text{ cm}}{2\text{ m}}[/tex]

This can be rearranged to the formula ...

  [tex]\text{actual distance}=\text{(scale distance)}\dfrac{2\text{ m}}{1\text{ cm}}[/tex]

Filling in the given scale distances, you find the actual distances to be ...

  [tex]\textbf{(a) }(14\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=14\cdot2\text{ m}=28\text{ m}\\\\\textbf{(b) }(7.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=7.5\cdot2\text{ m}=15\text{ m}\\\\\textbf{(c) }(12.4\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=12.4\cdot2\text{ m}=24.8\text{ m}\\\\\textbf{(d) }(0.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=0.5\cdot2\text{ m}=1.0\text{ m}\\\\[/tex]

Answer:

28 m

15 m

24.8 m

1.0 m

Step-by-step explanation:

60% of a firm's employees are men. Suppose four of the firm's employees are selected. a. What is the random variable we can consider here? b. What is probability of finding three men and one woman? c. What is the answer for part if 75% of employees were men?

Answers

Answer:

60% of the employees are men.

Then the 40% left must be women.

4 of them are selected.

a)  What is the random variable we can consider here?

A random variable is a variable that can have different outcomes or values, in other words, it is a stochastic variable.

We have a selection of 4 employees at random, then we can define the variable X, that represents (for each employee) the possibility of being man or woman.

b) Probability of 3 men and 1 woman.

Suppose that the selection is in the order:

man-man-man-woman.

We have:

0.6 tree times.

0.4 one time.

P = 0.6^3*0.4

But this is for the case where the woman is in the last selection, it can be in the first, second and third, then we have 4 permutations, the actual probability is:

P = 4*( 0.6^3*0.4) = 0.3456.

c) If now we have tat 75% are men, then 25% are women.

Now we can do the same as before, but now the probability for a man is 0.75 and for a woman is 0.25, then the previous equation is now:

P = 4*(0.75^3*0.25) = 0.421875

(a) The random variable will be "Men percentage".

(b) The probability of finding 3 men and one woman be "0.3456".

(c) The probability be "0.4219".

Probability

(a) A random variable represents a variable which might have several occurrences as well as quantities; it is indeed a stochastic quantity.

If we choose four workers at random, users may create the variable X, which reflects the potential of someone being a male or even a woman.

(b) The probability be:

→ P(3 men and women) = [tex]4C_3[/tex] (0.6)³ (1 - 0.6)¹

                                       = 0.3456

(c) The probability be:

→ P(3 men and women) = [tex]4C_3[/tex] (0.75)³ (1 - 0.75)¹

                                       = 0.4219

Thus the response above is correct.

Find out more information about probability here:

https://brainly.com/question/24756209

whoever answers all correctly gets a brainliest.

if you answer incorrectly, I steal all your points.
if you look at the questions and leave, I will steal all your points.
if you answer with something like 'bfdiydf' or 'i don't know sorry' i will steal your points.

Answers

First: 2/5 ( the / is fraction )
Second: 13/64
Third: 1 1/5
Then next question:
First: 28 1/3
Second: 4 2/3
Third: 8 1/6
Hope this helps :)

A large container holds 5 gallons of water. It begins leaking at a constant rate. After 10 minutes, the
container has 4 gallons of water left.
Part 1 out of 2
At what rate is the water leaking? Express your answer as a positive value.
The water is leaking at the rate of
gal/min.

Answers

Answer:

2/5  or 0.4

Step-by-step explanation:

This is simplified. For  the question 4/10 .

Is -8 greater than positive eight

Answers

Answer:

nope

+8 is greater than -8

answer for 5 stars pls I need it quick​

Answers

Answer:The answer is 1/x^12y

Step-by-step explanation:

The height above the surface of the Earth​ (in meters) of a rock thrown into the air at 10​ m/s after x seconds is given by f(x)=−9.8x2+10x+1.5. On the surface of the​ moon, the height is given by g(x)=−1.6x2+10x+1.5. How much higher does the rock travel on the moon than on​ Earth? The rock travels about __ ​meter(s) higher on the moon than on Earth.

Answers

Answer:

Rock travels about 8.2x²meters higher on the moon than on the Earth.

Step-by-step explanation:

Expression showing the height of a rock thrown into the air at Earth is,

f(x) = -9.8x² + 10x + 1.5

Similarly, expression showing the height of rock thrown on the moon is,

g(x) = -1.6x² + 10x + 1.5

Difference in the height of the rock thrown on moon = g(x) - f(x)

= (-1.6x² + 10x + 1.5) - ( -9.8x² + 10x + 1.5)

= -1.6x² + 9.8x² + 10x - 10x + 1.5 - 1.5

= 8.2x²

Therefore, rock travels about 8.2x²meters higher on the moon than on the Earth.

6th grade math help me plzzzzz

Answers

the answer is -3. you just have to add

Answer:

answer =  ⁻3

Step-by-step explanation:

Write a recursive rule for the sequence 4,10,16,22

Answers

Answer:

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 6

Step-by-step explanation:

The terms have a common difference d between consecutive terms, that is

10 - 4 = 16 - 10 = 22 - 16 = 6

To obtain the next term add 6 to the previous term ( recursive rule ), thus

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 6 with a₁ = 4

I need help ASAP answer both questions please show work

Answers

Answer:

3. <BAC = <BCA

so,

x+x+36° = 180°

=>2x + 36 = 180

=>2x = 180–36

=>2x = 144

=>x = 144/2

=>x = 72°

Describe the roots of x2 + 6x + 9 = 0

Answers

Answer:

x2+6x+9=0

x^2+3x+3x+9=0

x(x+3)+3(x+3)=0

x=-3 twice

4) The triangle on the right is an equilateral

Find the value of X and Y

Answers

Answer:

angle Y is 29 degrees

angle X is 120 degrees

Step-by-step explanation:

Well, if the triangle is an equilateral, then all the angles are equal to

60 degrees

that means the the angle at the top point is 60+31 = 91 degrees

the right point is 60 degrees

every triangle has 180 degrees total

180 - (91+60) = 29 degrees

NOW FORGET ABOUT THE EQUILATERAL FOR A BIT

180 = 31+x+29

simplify

180 = 60+x

subtract 60 from both sides

120 = x

Which pair of numbers are relatively prime?

22 and 35
32 and 16
21 and 56
30 and 85

Answers

I believe the answer is 22 and 35!

Answer:

22 35

Step-by-step explanation:

Question 4 Multiple Choice Worth 1 points)
(04.02 LC)
What is the solution to the following system of equations?
X - 3y = 5
2x + y = 10
(5,0)
(0,5)
(7,0)
(0,7)

Answers

Option 1 is the correct answer

(5,0)

Answer:

( 5, 0 )

Step-by-step explanation:

 x - 3y = 5

2x +  y = 10  multiply by 3 to eliminate y and solve for x

 x - 3y = 5

6x + 3y = 30  then add

7x          = 35

simplify:

x = 35 / 7

x = 5  

substitute x = 5 back into the eq.2

 2x +  y = 10

2(5) +  y = 10

           y = 10 - 10

           y = 0

therefore the answer is ( 5, 0 )

Katie has a doll house that is a small model of a real Victorian house. The real house has a rectangular window that measures 65 centimeters long by 45 centimeters wide. The length of the window in Katie's house is 13 centimeters long. How wide is the window in Katie's house?

Answers

Answer:

9

Step-by-step explanation:

65/13=5

45/5=9  The answer is 9

Order each set of numbers from least to greatest {7 , 9 √50, √85

Answers

Answer:

7,√50,9,√85

Step-by-step explanation:

The square root of 50 is 7.071 if you round to the nearest thousandth. The square root of 85 is 9.220. From least to greatest is 7,√50,9,√85

Write a linear function f with f(-4) = 2 and f(6) =-3​

Answers

Answer:

f(x) = - [tex]\frac{1}{2}[/tex] x

Step-by-step explanation:

The standard form for a linear function is

f(x) = ax + b

Using the given values f(- 4) = 2 and f(6) = 3 , then

- 4a + b = 2 → (1)

6a + b = - 3 → (2)

Subtract (2) from (1) term by term to eliminate b

- 10a = 5 ( divide both sides by - 10 )

a = - [tex]\frac{1}{2}[/tex]

Substitute a = - [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for b

Substituting into (1)

2 + b = 2 ( subtract 2 from both sides )

b = 0

Thus the linear function is

f(x) = - [tex]\frac{1}{2}[/tex] x

The linear function is f(x) = -0.5x

For f(-4) = 2

x₁ = -4, y₁ = 2

For f(6) = -3

x₂ = 6, y₂ = -3

The slope(m) is found using the formula

m = (y₂ - y₁)/(x₂ - x₁)

m = (-3-2)/(6-(-4))

m = -5/10

m = -0.5

Substitute m = -0.5, x₁= -4, and y₁ = 2 into the equation below:

y - y₁ = m(x - x₁)

y - 2 = -0.5(x - (-4))

y - 2 = -0.5(x + 4)

y - 2 = -0.5x - 2

y = -0.5x - 2 + 2

y = -0.5x

Therefore, the linear function is f(x) = -0.5x

Learn more here: https://brainly.com/question/17003809

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