Which is the Better buy?
Regular Popcorn (8cups) ($4.00)
Large Popcorn (15cups) ($6.00)

Answer:

Equation of parabola:  8*(y - 2) = (x - 3)^2

or

y = (1/8)*(x - 3)^2 + 2

Step-by-step explanation:

focus at (3,4) and its directrix y = 0.

Focus equation:  (h, k + c) = (3, 4)

Directrix equation  y =  k - c = 0

so  h = 3,   k + c = 4,   k - c = 0

Solve  the system :  k + c = 4 and k - c = 0

add the equations together:     k + c + k - c = 4 + 0

2k = 4

k = 2

so   k + c = 4,    2 + c = 4,   c = 2

4c (y - k) = (x -  h)^2

4*2 *(y - 2) = (x - 3)^2

8*(y - 2) = (x - 3)^2

Answer:

Step-by-step explanation:

sin(0) = 0/2

sin(30) = 1/2

sin(45) = [tex]\sqrt{2}[/tex]/2

sin(60) = [tex]\sqrt{3}[/tex]/2

sin(90) = [tex]\sqrt{4}[/tex]/2

cos(90) = 0/2

cos(60) = 1/2

cos(45) = [tex]\sqrt{2}[/tex]/2

cos(30) = [tex]\sqrt{3}[/tex]/2

cos(0) = [tex]\sqrt{4}[/tex]/2

notice that sin and cos repeat,   but in reverse

the answer for your questions is in there.  

Answer:

Step-by-step explanation:

1. 15 points

2. mode-50    basically the number with the most points

3. median is 45  

Answer:

all of the brackets first

Answer:

Step-by-step explanation:

Those consecutive angles must sum to 180 degrees.

7x+9+7y-4=180

7x+7y+5=180

7x+7y=175

x+y=25

x=25-y

We also have

11x-1+2y+5=180

11x+2y+4=180

11x+2y=176, using x=25-y that we found above makes this

11(25-y)+2y=176

275-11y+2y=176

-9y+275=176

-9y=-99

y=11, and since x=25-y

x=25-11

x=14

Finally

z+7x+9=180

z+7x=171

z=171-7x, we found that x=14 earlier so

z=171-7(14)

z=171-98

z=73

So the three values are

x=14, y=11, and z=73 degrees.

Answer:

[tex]cos(x)[/tex]

Step-by-step explanation:

Let's recall the definition of the trigonometric identities in place:

[tex]cot(x)=\frac{1}{tan(x)} =\frac{cos(x)}{sin(x)}[/tex]  and

[tex]csc(x)=\frac{1}{sin(x)}[/tex]

Then, we substitute and simplify as follows:

[tex]\frac{cot(x)}{csc(x)}=cot(x)*\frac{1}{csc(x)}=\frac{cos(x)}{sin(x)}*sin(x)=cos(x)[/tex]

Answer:

About 207 inches

Step-by-step explanation:

The circumference of a circle is given by the formula ...

 C = πd . . . . . where d represents the diameter

The circumference of the tire is the distance the truck will move when the tire makes one revolution. That distance is ...

 C ≈ 3.1416×(66 in) ≈ 207.35

The truck will travel about 207 inches for each revolution of the tire.

9514 1404 393

Answer:

  b⁶

Step-by-step explanation:

The question tells you how to work it: use the relations you studied.

Here, you have the power of an expression with an exponent. The exponents multiply.

  [tex]\text{Rule: }(a^b)^c=a^{bc}\\\\\text{Appication: }(b^3)^2=b^{3\cdot2}=\boxed{b^6}[/tex]

_____

Additional comment

A coefficient is used to indicate repeated addition: 3x = x + x + x.

An exponent is used to indicate repeated multiplication: x³ = x·x·x.

This is still true when the exponent is applied to an expression with an exponent:

  (b³)² = (b³)(b³) . . . . the factor b³ is repeated 2 times as indicated by the exponent 2

Of course, each of these indicates repeated multiplication, so we really have ...

  (b³)(b³) = (b·b·b)·(b·b·b) = b·b·b·b·b·b

And this can be simplified using an exponent to show the repeated multiplication:

  = b⁶

Then, by going the long way around, we arrive at ...

  (b³)² = b⁶

Answer: 2.25

Step-by-step explanation: This is because 2.25*40 is 90

Hope this helps and brainliest would be appreciated

Answer:

£32 and £32

Step-by-step explanation:

The computation of the amount that should be left and equally distributed is shown below:

The cost of hotel for one night is £84

Brenda has make a deposit of £20

So, the remaining amount left is

= £84 - £20

= £64

Now this amount should be equally distributed between them i.e. £32 and £32

Answer:

2 to the power of 2 +  

Step-by-step explanation:

Distribute

Eliminate redundant parentheses

Subtract the numbers

Combine like terms

Combine like terms... again

Multiply by 1 = 2 to the power of 2 +

Answer:

(32+3+3)−1(2+2+3)(3x^{2}+3x+3)-1(x^{2}+2x+3)

(3x2+3x+3)−1(x2+2x+3)

Simplify

1

Distribute

(32+3+3)−1(2+2+3)(32+3+3)−12−2−32

Eliminate redundant parentheses

(323+3)−12−2−332+3+3−12−2−33

Subtract the numbers

32+3+3−2−2−332+3−12−24

Combine like terms

32+3−12−222+3−25

Combine like terms

22+3−222+16

Multiply by 1

Solution

22+

Answer:

12π

is the correct answer

Answer:

1.50

Step-by-step explanation:

Answer:

Nerf football cost is $9.48.

Step-by-step explanation:

Total order made by Mr. DiCanio = $97.23

A playground ball cost $17.25 each, so that the cost of 4 playground balls can be determined by;

4 playground balls = $17.25 x 4 = $69.0

A package of 10 jump ropes = $18.75

Cost incurred on the items above = $69.0 + $18.75

                                                         = $87.75

Thus,

The cost of 1 Nerf football = $97.23 - $87.75\

                                           = $9.48

Therefore, the cost of Nerf football is $9.48

Ax+ By = C for x

Ax = C - By

x = (C - By)/A

Done.

Answer:

>

Step-by-step explanation:

Step-by-step explanation:

The answer is B

Answers is B

Answer:

x = 10

Step-by-step explanation:

3x - 5 = 2x + 5

3x - 5 + 5 = 2x + 5 + 5

3x = 2x + 10

3x - 2x = 2x - 2x + 10

1x = 10

x = 10

Answer:

I think A

Step-by-step explanation:

3x5=15-5=10

2×5+5=15

So x = 10

Is the closest

Answer:

only if I know how, otherwise I'll try and help

Step-by-step explanation:

Answer:

ion even kno just tryna get points

Step-by-step explanation:

use g00glek

Answer:

Answer:

hello your question lacks some information attached below is the complete question

answer : NO

Step-by-step explanation:

Determine the probability of not selecting an obese subject in 3 trials

= P ( not obese in 3 randomly selected ) = ( 1 - 0.111 )^3

= 0.703

The probability > 0.05

hence it is insignificant therefore the answer is NO

Answer:

Step-by-step explanation:

can you repost with the image

Answer:

blue

Step-by-step explanation:

1/3·π·8∧2·8=536.17

(1/3·π·r∧2·h)

Answer:

Step-by-step explanation:

I assume that 16 m is the radius, not a diameter.

Answer:

Yes is just like using the slope intercept form

Step-by-step explanation:

Answer:

Step-by-step explanation:

Five students= 5x

They all got two more= 5x + 2(5)

5x + 10 = 30

     - 10    -10

5x = 20

    5

x = 4

Answer:

Yes

Step-by-step explanation:

Because 9/12 and 6/8 are both equivalent to 3/4 of the total.