The cost of student tickets at a movie theater can be
equation: C = $5.50x, where C is the cost and x is the number of student
tickets. Which statements are true about this situation? Select each correct
statement.

A. The constant of proportionality is $5.50.

B. The unit rate is $2.25.

C. Two movie tickets cost $11.00.

Answer:

the first one; 3*1/10^-4

Step-by-step explanation:

10^-4 can be ocnverted into a fraction: 1/10^4

Answer:

3 times 1/10,000

Step-by-step explanation:

Answer:

A. 86.64%

B. 80

C. y(t)= 80[tex]e^{0.8664t}[/tex]

D. y(5.5) = 9388

E. y(t) = 8134 bacteria for every hour

F.  8.28 hours

Step-by-step explanation:

a. The bacteria count after 4 hours y(4) = 2560

The bacteria count after 12 hours y(12) = 2621440

equation 1: ye^4k = 2560

equation 2: ye^12k= 2621440

divide (2) by (1),

e^8k = 1024

Taking ln both sides:

ln(e8k ) = ln(1024)

8k = 6.931

k=0.8664      // after dividing both sides by 8

rate of growth k% = 0.8664*100 = 86.64%

b. substituting for k in equation 2:

   ye^4*0.8664 = 2560

   Initial bacteria count y(4) = 80

c. y(t)= 80e^0.8664t

d. the number of bacteria after 5.5 hours => y(5.5) = 80[tex]e^{0.8664(5.5)}[/tex] ≈ 9388

e. y'(5.5) = 80*0.8664e^0.8664(5.5) = 69.31e^0.8664(5.5) = 8134

f. for bacteria population = 104000

where ye^0.8664t = 104000

   y = 80

   80e^0.8664t = 104000    //divide both sides by 80

   e^0.8664t = 1300

   ln(e^0.8664t = ln(1300)

   t = 7.17 / 0.8664 = 8.28 hours

Answer:

9:6

Step-by-step explanation:

boys= 9 teammates

girls= 6 teammates

Answer:

B

Step-by-step explanation:

1/3

The required value of a is 1/3 for parabola [tex]y = 1/3x^2[/tex].

A parabolic dish with vertex (0,0) at the center, width is 6 inches and depth is 3 inches. y = ax² where a is to be determined.

A parabola is a cross-section cut out of the cone and represented by an equation [tex]y=4ax^2[/tex].

Here,  
Vertex is at the center of the parabolic plate (0,0),
with the help of the width and depth coordinate of the one corner is(3,3).
Now put these coordinates in y = ax²  
3 = a3²
a = 3/3²
a = 1/3

Thus, The required value of a is 1/3 for the parabola [tex]y = 1/3x^2[/tex].

Learn more about parabola here:

brainly.com/question/4074088

#SPJ5

Answer:

no trend

a positive trend would start in the bottom left and go toward the top right

a negative trend would start at the top left and go town the bottom right

this is an example of no trend

Step-by-step explanation:

a "trend" shows an increasing or decreasing relationship between the x and y values, in this they don't have any sort of relationship. you can tell by the repeating y values for multiple different x-values, or the repeating x-values for multiple different y-values.

Answer:

13/-3

Step-by-step explanation:

Answer:

-13/3

Step-by-step explanation:

The slope is rise over run.

From the first point to the other, the line goes 13 units up and -3 units to the right.

Putting it in the form of rise over run we have:

13/-3 which is the same as -13/3

Answer:

1

Step-by-step explanation:

The equation [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1}}[/tex], the points are (-5, -3) and (2, 4), so to know which is which just do it by order, so in this case [tex]y_{1} = 4, y_{2} = -3, x_{1} = -5, x_{2} = 2[/tex] basically like i said, just in order.

So let's separate the equations into 2 for now:

[tex]y_{2} - y_{1}[/tex] = 4 - (-3) = 4 + 3 = 7

[tex]x_{2} - x_{1}[/tex] = 2 - (-5) = 2 + 5 = 7

So put it together into the fraction and it's 7/7 which is 1, so the slope is 1

Answer:

36miles

Step-by-step explanation:

Given parameters:

Rate  = 12mph

Time  = 3hr

Unknown:

Distance = ?

Solution:

The given rate amount is the speed. Speed is the distance divided by the time.

It is mathematically expressed as:

         Speed  = [tex]\frac{distance}{time}[/tex]  

    Distance  = Speed x time

    Distance  = 12 x 3  = 36miles

Answer:

Spiced eye gonna flush my toilet now ;)

Answer:

hes right

Step-by-step explanation:

its 2 because 2plus is 2

Answer:

two map squares ☺️☺️☺️☺️

Answer:

vertex = (- 10, - 10 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

h(x) = x² + 20x + 90

add/subtract ( half the coefficient of the x- term )²

h(x) = x² + 2(10)x + 100 - 100 + 90

      = (x + 10)² - 10 ← in vertex form

with (h, k ) = (- 10, - 10 )

Answer: c

Step-by-step explanation:

Answer:

324

Step-by-step explanation:

Answer:

B is the answer for the question

B IS YOUR ANSWER LOL.

I'm pretty sure it is the fourth answer.

Answer:p

pn gv=0753vc

Step-by-step explanation:

Answer:

+80=0 at the end of the thing

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

-9+9= 18

9x9= 81

they have to use the same number, but one is added and the other is multiplied

Answer:

50

Step-by-step explanation:

you add 42 and 48 i think

Answer:

first

put the value of p(10) in the place n,

2-multiply -8×10^2+9×10

3-:- -8×100+90

4:-800+90=710ans

Answer:

f(-3) = 25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 5(2 - x)

f(-3) is x = -3

Step 2: Evaluate