A movie theater sells popcorn in bags of different sizes. The table below shows the volume of the popcorn and the price of the bag. (do not forget your units in your answer. Do not put any spaces in your answer)

For every ounce of popcorn how much does the price increase?

If the theater wanted to offer a 60-ounce bag of popcorn, what would the price be?


If the theater offered a 1 ounce bag of popcorn, what would the price be?

A. Tyrell's mistake was he did not open the bracket properly.

B. The correct simplified expression is 8 -6x.

From the question,

Tyrell simplified the expression 16 - 2 (4 + 3x) as 16 - 8 + 3x.

16 - 2 (4 + 3x)

First, open the bracket by distributing -2. We get

16 -8 -6x

Simplifying further, we get

8 -6x

Hence, the correct simplified expression is 8 -6x.

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Answer:

independent events

Step-by-step explanation:

dependent is when the previous event affects the outcome of the next event.

Ex: When I draw a card without replacement at first I will have 52 cards. Once I draw the card, I will have only 51 cards to choose from.

Independent event is when the outcome is not related.

Example like the problem given to you

Answer:

1 miles is 5280 so False

Step-by-step explanation:

Answer:

Increasing interval

Step-by-step explanation:

Answer:

x = 1/25

y = 32/25

Step-by-step explanation:

Answer:

21.88

Step-by-step explanation:

Answer:

21.88

Step-by-step explanation:

The drink cost 3.24 $ after the discount still we don't have enough to buy and we are 24 cents short.

A discount is a reimbursement or an offer made to consumers at the product's quoted price. The indicated price sometimes referred to as the list price

Given, The price of a venti vanilla bean Frappuccino from Starbucks is $4.45, but you have only $3 with you. Your friend is working and gets you a discount of 20%.

After the discount price of venti = 4.45*( 1- 20%) = 3.24$

Since we have only 3$.

Therefore we are not able to buy this dring from the store today even after the discount and we are 23 cents short.

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a)The estimate of the area under f(x) = 9 - x² between x = -3 and x = 3 using the midpoint rule with two rectangles of equal width is 30.

b)The exact value of the area under f(x) = 9 - x² between x = -3 and x = 3 is 36.

a) The function is as follows:f(x) = 9 - x²Range of the function: [-3, 3]Width of each rectangle: (3 - (-3))/2 = 3Units on the x-axis: -3, -1, 1, 3The height of the midpoint of each rectangle should be f(x) at the midpoint of the rectangle's base. Midpoints of the rectangle's base: (-3 + (-1))/2 = -2 and (1 + 3)/2 = 2The height of each midpoint of each rectangle: f(-2) = 9 - (-2)² = 5 and f(2) = 9 - 2² = 5Area of each rectangle = height × widthArea of the rectangle with base at (-3, 0) and height of 5 = 5 × 3 = 15Area of the rectangle with the base at (-1, 0) and height of 5 = 5 × 3 = 15Total area is the sum of the area of the two rectangles = 15 + 15 = 30

b) The area under the curve f(x) = 9 - x² between x = -3 and x = 3 is given by the definite integral:∫ [-3, 3] (9 - x²)dxUsing the definite integral, we get;∫ [-3, 3] (9 - x²)dx= [9x - (x³/3)] [-3, 3]= [(9 * 3) - (3³/3)] - [(9 * -3) - (-3³/3)]= (27 - 9) - (-27 + 9)= 18 + 18= 36.

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Answer:

0%

Step-by-step explanation:

ITS A CUBE BRUH!!!!

Answer:

perpendicular lines

Step-by-step explanation:

The diagonal line presented in a normal q-q plot output indicate a high r2 value. b. false.

Deviations away from the diagonal line presented in a normal Q-Q plot output do not necessarily indicate a high r2 value or a proper approximation by the multiple linear regression model. A normal Q-Q plot is a graphical technique for assessing whether or not a set of observations is approximately normally distributed. In this plot, the quantiles of the sample data are plotted against the corresponding quantiles of a standard normal distribution. If the points on the plot fall close to a straight diagonal line, then it suggests that the sample data is approximately normally distributed. However, deviations away from the diagonal line could indicate departures from normality, such as skewness, heavy tails, or outliers. These deviations could affect the validity of the multiple linear regression model and its assumptions, including normality, linearity, independence, and homoscedasticity. Therefore, it is important to check the residuals plots and other diagnostic tools to evaluate the assumptions and the fit of the model.

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Answer:

The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis. An x-intercept is a point on the graph where y is zero, and a y-intercept is a point on the graph where x is zero.

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

The x-intercept is where a line crosses the x-axis.

The y-intercept is where a line crossed the y-axis.

Answer:

According to Hinduism, shiva is the supreme spiritual force

but u havent given option

While the correct answer SHOULD be Shiva, if you are doing this for Connexus, then the answer they teach and are seeking is Brahman.

Based on the information in the graph, we can infer that the star with the highest initial mass is likely to be at position A.

To find the position of the star with the greatest initial mass we must analyze the graph. In this case, the graph shows us the temperature on the x axis and the luminosity on the y axis. According to these data, we can assume that the star with the greatest mass has the greatest luminosity, so we could establish that the position of this star is the one that corresponds to the greatest luminosity. In this case, the place with the greatest luminosity would be position A.

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Answer:

−5(4x+3)

Step-by-step explanation:

Answer:

3 - 7j is the answer

Step-by-step explanation:

-5j + -2j + 3

|_______|

-7j + 3 [or vice versa, like in the above answer]

Answer: −7 j + 3  I hope I helped!!!

The conclusion of the symbolised argument is that N implies (O and P). This can be proven using conditional proof and the eighteen rules of inference, or using the rule of conjunctive simplification.

The symbolic argument's conclusion is that N implies (O and P). This can be demonstrated using conditional proof and the eighteen inference rules.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (3-6 Conditional Proof)

8. N ⊃ (O•P) (2,7 Disjunctive Syllogism)

This leads us to the conclusion that N implies (O and P).

Without the use of conditional proof, the identical result can be reached. The conjunctive simplification rule can be used to do this.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (Conjunctive Simplification)

Therefore, we have derived the conclusion that N implies (O and P).

Complete Question:

Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.

1. N ⊃ O

2. N ⊃ P / N ⊃ (O • P)

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A function with a period 5 orbit means that it cycles through a set of five values, while continuity ensures there are no abrupt changes or discontinuities in the function's values.

We are given a function f: R → R that is continuous and has a period 5 orbit {a₁, a₂, a₃, a₄, a₅}, where f(a) = aᵢ₊₁ for 1 ≤ i ≤ 4 and f(a₅) = a₁.

To explain this further, the function f maps each element in the set {a₁, a₂, a₃, a₄, a₅} to the next element in the set, and f(a₅) wraps around to a₁, completing the period.

The period 5 orbit means that if we repeatedly apply the function f to any element in the set {a₁, a₂, a₃, a₄, a₅}, we will cycle through the same set of values.

The continuity of the function f implies that there are no abrupt changes or discontinuities in the values of f(x) as x moves along the real number line.

Overall, the given information tells us about the behavior of the function f and its periodicity, indicating that it follows a specific pattern and exhibits continuity throughout its domain.

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The equation of the circle graphed in this problem is:

(x - 5)² + y² = 16.

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

For the circle graphed, we have that:

Hence the equation of the circle graphed is:

(x - 5)² + y² = 16.

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An urn contains 4 blue and 3 yellow chips, two are removed in succession without replacement. The probability both chips are blue is 15/14

Since the balls are to be removed in succession,

For removing first ball:

Total probability to remove the ball from 7 balls = 7c1

The probability for removing one blue ball out of 4 blue balls = 4c1

So final probability = 4c1/7c1

Now the remaining balls = 7-1 = 6

The remaining blue balls = 4-1 = 3

For removing second ball:

Total probability to remove one ball out of 6 balls = 6c1

The probability for removing one blue ball out of 3 blue balls = 3c1

So final probability = 3c1/6c1

The final probability to remove two blue balls in succession out of 7 balls is = 4c1/7c1 + 3c1/6c1

   = 4/7 + 3/6

   = 15/14

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Answer:

Step-by-step explanation:

boody boody

Remember the shortcut way for graphing quadratic equations

#1

Vertex

As a is positive parabola facing upwards

Find y for same x distance from vertex

I took 3-1=2 and 3+1=4

Now plot vertex and these two points (2,1) and (4,1) on graph then draw a parabola by freehand

#2

Convert to vertex form

Vertex at (-1,-9)

Same take two equidistant x values

Let's take -1-1=-2 and -1+1 =0

Put (-1,-9),(-2,-8),(0,-8) on graph and draw a freehand parabola

#3.

Yes it can be verified by finding the coordinate theoretically on putting them on function then can be verified through putting them on graph whether they matches or not

Step-by-step explanation:

1)Take the time he is traveling divided by the speed to get the time.

2)Subract the time you have got from the average time,then subtract the average distance from the traveling distance,then divide the two to get the speed.

3)Take the total distance, divide it by the total time to get the average speed.

The answer to the question is C, which is integers 4,5 or -4,-3.

Let's call the first integer x and the second integer x+1 (since they are consecutive).
According to the problem, we can set up the following equation:
x(x+1) = x + (x+1) + 19
We can simplify this equation by expanding the left side and combining like terms on the right side:
x^2 + x = 2x + 20
Now we can move all the terms to one side and get a quadratic equation:
x^2 - x - 20 = 0
We can factor this equation as (x-5)(x+4) = 0, which means the solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The long answer includes all the steps of solving the quadratic equation:
x^2 - x - 20 = 0
We can use the quadratic formula to solve for x:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a=1, b=-1, and c=-20.
x = (1 ± √(1 - 4(1)(-20))) / 2(1)
x = (1 ± √81) / 2
x = (1 ± 9) / 2

The two solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The product of two consecutive integers is 19 more than their sum. To find the integers, let's represent them as x and x+1.

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Answer:

Step-by-step explanation:

RQ=QS=SR

5x =3x + 10 =6x-5

5x =3x +10

5x-3x =10

2x =10

X=5

If there are 240 students in the sixth-grade class then the number of votes that Naomi received is: 336 votes.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Bridgette and Naomi ran for sixth-grade class president.

In the election, every sixth-grade student voted for either Bridgette or Naomi.

Bridgette received 5 votes for every 7 votes Naomi received.

the first figure represents 5:7 ratio in the story.

Since Bridgette received 5 votes for every 7 votes Naomi received, Bridgette received 5/7 of the total votes and Naomi received 2/7 of the total votes.

We know that the total number of votes cast is equal to the total number of students in the class, which is 240.

Therefore, we can set up the equation:

⁵/₇(x) + ²/₇(x) = 240

Simplifying the equation, we get:

(5x + 2x)/7 = 240

7x/7 = 240

x = 240 × 7/5

x = 336

Therefore, If there are 240 students in the sixth-grade class then Naomi received 336 votes.

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Cos of 58 degree =0.5299

tan of 23 degree = 0.4244

The closest approximation to the volume of the basketball is 434 cubic inches.

To calculate the volume of a basketball, you can use the formula for the volume of a sphere, which is given by:

V = (4/3)πr³

where V represents the volume and r is the radius of the sphere.

Given that the basketball has a diameter of 9.4 inches, we can find the radius by dividing the diameter by 2:

r = 9.4 inches / 2 = 4.7 inches

Now we can substitute this value into the formula to calculate the volume:

V = (4/3)π(4.7 inches)³

Using the approximation of π as 3.14159, we can evaluate the expression:

V ≈ (4/3) × 3.14159 × (4.7 inches)³

V ≈ 4.18879 × (4.7 inches)³

V ≈ 4.18879 × (103.823 inches³)

V ≈ 433.87005 inches³

Therefore, the closest approximation to the volume of the basketball is 434 cubic inches.

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