( what’s the better deal ) please help me with this, i’ve been trying for a long time

( Whats The Better Deal ) Please Help Me With This, Ive Been Trying For A Long Time

Answers

Answer 1

Answer:

Brand A is the better deal!

Step-by-step explanation:

Let's start by comparing.

We know brand B has the following cost: 5 ounces = $3.75

10 ounces $7.50 and 16 ounces = $12

Now check the graph.

6 ounces cost $3

12 ounces cost $6

20 ounces cost $10

I don't think we need to look any further but brand A is the better deal!

( Whats The Better Deal ) Please Help Me With This, Ive Been Trying For A Long Time

Related Questions

Jane and her friends are going on a hiking trip. Jane wants to make snack packs
to take on the trip. She has 24 apples and 36 small bags of trail mix. Each snack
pack must have the same number of apples and the same number of bags of

Answers

Answer:

Answer: 4 apples and 6 bags of trail mix per pack

Step-by-step explanation:

Which expression is equivalent ?

Which expression is equivalent ?

Answers

Answer:

D

Step-by-step explanation:

When you do a power to a power you multiply

4 * 2/9 = 8/9

Answer:

12^8/9

Step-by-step explanation:

Solve for y. 40 = 25y Simplify your answer as much as possible.

Answers

mark me as the brainliest
Solve for y. 40 = 25y Simplify your answer as much as possible.
Answer: y = 8/5

Alternative form: y= 1 3/5 , y=1.6

Find the lengths of LM⎯⎯⎯⎯⎯⎯ and PQ⎯⎯⎯⎯⎯ and determine whether they are congruent.
Hint: Congruent line segments have the same length.

Find the lengths of LM and PQ and determine whether they are congruent. Hint: Congruent line segments
Find the lengths of LM and PQ and determine whether they are congruent. Hint: Congruent line segments

Answers

Answer:

The fourth option is the answer.

Step-by-step explanation:

Use distance formula

\( {x}^{2} + {y}^{2} = {d}^{2} \)

where x is the distance between the two endpoints of the congruent line segment and y is the distance between the congruent line segment.

\( {3}^{2} + {6}^{2} = 45\)

Set 45 equal to d^2.

\(45 = {d}^{2} \)

\( \sqrt{45} = d\)

\(3 \sqrt{5} = d\)

L and M have the same distance between points as well. so they are congruent.

if I draw a marble 48 times a white marble is selected 35 times ana a yellow one is selected 13 times what is the probability of the next one to be yellow
A 13%
B 27%
C 51%
D 63%

Answers

The probability of drawing a yellow marble on the next draw is 13/48, which is option A, 13%.

What is the probability of the next marble is yellow?

The probability of drawing a yellow marble in the next draw depends on whether the drawing process is with or without replacement.

If the drawing process is with replacement, meaning that the marble is put back into the bag after each draw, then the probability of drawing a yellow marble remains the same at 13/48.

If the drawing process is without replacement, meaning that the marble is not put back into the bag after each draw, then the probability of drawing a yellow marble changes. After 48 draws, there are 35 white marbles and 13 yellow marbles left in the bag.

Therefore, the correct answer is A) 13%.

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During the summer, jody earns 10$ per hour babysitting and 15$ per hour doing yardwork. This week she worked 34 hours and earned 410$. If x represents the number of hours she babysat and y represents the number of hours she did yardwork, which system of equations models this situation?

Answers

Answer:

x + y = 34

10*x + 15*y = 410

Step-by-step explanation:

The equation system that models the situation would be made up of two equations:

The first equation would be the total number of hours for both jobs, that is, the number of babysat work hours and the number of yardwork work hours equals 34 total hours.

x + y = 34

The second equation would be the total amount of money earned, in this case it would be to multiply the earnings of each job by the number of hours of each job and add it up and you should give a total of 410 which are your total earnings.

10 * x + 15 * y = 410

Therefore the system of equations would be:

x + y = 34

10 * x + 15 * y = 410

Name the rule for this sequence.

18, 14, 10, 6, 2,…
A. subtract 4 from the previous term
B. add 4 from the previous term
C. divide the previous term by 4
D. divide the previous term by 4

Answers

Answer:

It is A

Step-by-step explanation:

Because 18 to 14 is subtracting 4 and then it goes 14 to 10 which is another 4. Hope you ace the quiz or test or whatever your doing hope it helps.

Option A

It's an arithmetic sequence

First term=a=18Common difference=d=4.

Rule is

\(\\ \rm\hookrightarrow a_n=a+(n-1)d\)

\(\\ \rm\hookrightarrow a_n=18+(n-1)4\)

Zach bought 200 shares of Goshen stock years ago for $21.35 per share. He sold all 200 shares today for $43 per share. What was his gross capital gain?

Answers

Zach's gross capital gain is calculated as the difference between the selling price and the purchase price, multiplied by the number of shares sold:

Gross capital gain = (selling price - purchase price) x number of shares sold

The purchase price was $21.35 per share, and he bought 200 shares, so the total purchase price was:

Purchase price = $21.35 x 200 = $4,270

The selling price was $43 per share, and he sold all 200 shares, so the total selling price was:

Selling price = $43 x 200 = $8,600

Therefore, the gross capital gain is:

Gross capital gain = ($8,600 - $4,270) x 200 = $8,6600

So Zach's gross capital gain from selling his 200 shares of Goshen stock is $8,6600.

Answer: 8,600

Zach's gross capital gain can be calculated as follows:

Total proceeds from selling the stock = 200 shares x $43/share = $8,600

Total cost of buying the stock = 200 shares x $21.35/share = $4,270

Gross capital gain = Total proceeds - Total cost = $8,600 - $4,270 = $4,330

Therefore, Zach's gross capital gain from selling 200 shares of Goshen stock is $4,330.

Find the volume of radius 7 cm in diameter of 12 cm in 3.14

Answers

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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Helpppppppppppppppp

Helpppppppppppppppp

Answers

Answer:

when h(x) = 0, x = 7/3

Step-by-step explanation:

0 = 3x - 7

7 = 3x

7/3 = x

Your answer,7/3 is answer if you need explanation please told me from comments

Between 20 and 40 units per hour, the long-run average cost curve exhibits?
a. economies of scale.
b. constant returns to scale.
c. diseconomies of scale.
d. both economies and diseconomies of scale.

Answers

Between 20 and 40 units per hour, the long-run average cost curve exhibits constant returns to scale. The statement that indicates between 20 and 40 units per hour, the long-run average cost curve exhibits constant returns to scale. This is option B.

In microeconomics, the long-run average cost (LRAC) is a method of showing the average expense per unit for a given level of production input. It is the cost of producing goods per unit using a specified number of inputs, such as labor and capital.

Long-run average cost is the average cost per unit of production after the company has adapted its production scale fully. As a result, the term "long-run" denotes a period in which all of the firm's inputs are variable.

The cost structure's shape is represented by the long-run average cost curve. The curve is determined by dividing the cost of producing goods by the number of goods produced. It aids in identifying the production rate at which a firm may generate the most output at the lowest cost.The long-run average cost curve depicts how the average cost of production varies with scale.

The curve might be downward-sloping, indicating economies of scale, flat, implying constant returns to scale, or upward-sloping, indicating diseconomies of scale, based on the company's production methods.

Hence, the answer is B.

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Convert this rational number to its decimal form and round to the nearest thousandth

Convert this rational number to its decimal form and round to the nearest thousandth

Answers

Answer:0.1667

Step-by-step explanation:

the sum of 7 times a number and 3 equals 8

Answers

Answer:

7x+3=8

Step-by-step explanation:

this is the answer

A solution to a system of linear equations in two variables is an ordered pair that.

Answers

The solution to a system of linear equations is the ordered pair (or pairs) that satisfies all equations in the system.

What ordered pair is a solution to the system of linear equations?

An equation is said to linear when it is in ax+ by = c form where a , b and c are real numbers . System of linear equation consist of a set of two or more equation with same variables. such as ,

a₁ x + b₁ y = c₁

a₂ x + b₂ y = c₂

A solution to a linear system is an ordered pair (x ,y) that solves both the equations .

To check that an ordered pair is a solution ,we have to substitute the corresponding values of our variables (x ,y) into our equations and see if they satisfy both the equations.

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Find the value of the trigonometric ratio to the nearest 10,000

Tan 26

Find the value of the trigonometric ratio to the nearest 10,000Tan 26

Answers

The value  of the trigonometric tan of tan 26 degrees to the nearest ten thousandth is

0.4877

How to find the trigonometric tangent

The tangent (tan) of an angle in a right triangle is known as the measure of the ratio of the length of the side opposite the angle, against that of the side adjacent to it.

Assuming a right-angled triangle with an acute angle of 26 degrees, the tangent of this angle is calculated by comparing the measurements of the opposite and the adjacent.

A scientific calculator or trigonometric table can be employed to determine the approximate value of Tan 26, which is approximately 0.4877326.

Nearest ten thousandth is four decimal place which is written as 0.4877

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a lamina occupies the part of the disk x2 y2 ≤ 1 in the first quadrant. find its center of mass if the density at any point is proportional to its distance from the y-axis.

Answers

the center of mass of the lamina is (x_cm, y_cm) = (3/16, 3/16).

To find the center of mass of the lamina, we need to calculate the coordinates (x_cm, y_cm) where the mass is concentrated.

The density at any point is proportional to its distance from the y-axis. This implies that the density (ρ) at a point (x, y) is given by ρ = kx, where k is a constant of proportionality.

To find the center of mass, we need to integrate over the lamina's region to calculate the mass (M) and the moments (Mx and My) about the x and y axes, respectively. Then, we can use these values to find the coordinates of the center of mass.

Let's proceed with the calculations:

1. Finding the mass (M):

The mass element dm at a point (x, y) is given by dm = ρ * dA, where dA is the differential area element.

Since ρ = kx, we have dm = kx * dA.

To calculate the mass, we integrate this expression over the region of the lamina:

M = ∫∫ρ * dA

  = ∫∫kx * dA

  = k * ∫∫x * dA

The region of integration is the part of the disk x² + y² ≤ 1 in the first quadrant.

We can rewrite the bounds of integration as follows:

0 ≤ x ≤ 1 (since it's in the first quadrant)

0 ≤ y ≤ √(1 - x²) (using the equation of the disk)

Now, we can set up the double integral:

M = k * ∫[0 to 1]∫[0 to √(1 - x²)]x * dy * dx

2. Finding the moments (Mx and My):

The moments about the x and y axes are given by:

Mx = ∫∫x * ρ * dA

My = ∫∫y * ρ * dA

Using the same region of integration and density expression, we can set up the double integral for My:

My = k * ∫[0 to 1]∫[0 to √(1 - x²)]y * x * dy * dx

3. Calculating the center of mass:

The coordinates of the center of mass (x_cm, y_cm) are given by:

x_cm = Mx / M

y_cm = My / M

Now, we can evaluate the integrals to find the mass and moments, and then calculate the coordinates of the center of mass:

Step 1: Calculate the mass M

M = k * ∫[0 to 1]∫[0 to √(1 - x²)]x * dy * dx

M = k * ∫[0 to 1]x * √(1 - x²) dx

Let u = 1 - x²

du = -2x dx

When x = 0, u = 1

When x = 1, u = 0

M = -k * ∫[1 to 0]√u du

M = k * ∫[0 to 1]√u du

M = k * (2/3) * u³/² |[0 to 1)

M = k * (2/3) * (1 - 0)

M = k * 2/3

Step 2: Calculate the moment Mx

Mx = k * ∫[0 to 1]∫[0 to √(1 - x²)]x * y * dy * dx

Mx = k * ∫[0 to 1]x * ∫[0 to √(1 - x²)]y * dy * dx

Mx = k * ∫[0 to 1]x * (1/2) * y² |[0 to √(1 - x²)] dx

Mx = k * ∫[0 to 1]x * (1/2) * (1 - x²) dx

Mx = k * (1/2) * ∫[0 to 1](x - x³) dx

Mx = k * (1/2) * (x²/2 - x⁴/4) |[0 to 1]

Mx = k * (1/2) * (1/2 - 1/4)

Mx = k * (1/2) * (1/4)

Mx = k/8

Step 3: Calculate the moment My

My = k * ∫[0 to 1]∫[0 to √(1 - x²)]y * x * dy * dx

My = k * ∫[0 to 1]x * ∫[0 to √(1 - x²)]y * dy * dx

My = k * ∫[0 to 1]x * (1/2) * y² |[0 to √(1 - x²)] dx

My = k * ∫[0 to 1]x * (1/2) * (1 - x²) dx

My = k * (1/2) * ∫[0 to 1](x - x³) dx

My = k * (1/2) * (x²/2 - x⁴/4) |[0 to 1]

My = k * (1/2) * (1/2 - 1/4)

My = k * (1/2) * (1/4)

My = k/8

Step 4: Calculate the coordinates of the center of mass

x_cm = Mx / M = (k/8) / (k * 2/3) = 3/16

y_cm = My / M = (k/8) / (k * 2/3) = 3/16

Therefore, the center of mass of the lamina is (x_cm, y_cm) = (3/16, 3/16).

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help me pleaseee xxoxo

help me pleaseee xxoxo

Answers

Answer:

4cube×acube×b power 6

sorry if you don't understand

How much storage is needed to represent a simple graph with n vertices and m edges using
a) adjacency lists?
b) an adjacency matrix?
c) an incidence matrix?

Answers

The amount of storage required to represent a simple graph with n vertices and m edges can vary depending on the chosen representation. Here's the storage requirement for each representation:

a) Adjacency lists:

In an adjacency list representation, we typically use an array of size n to store the vertices, and for each vertex, we maintain a linked list or an array to store its adjacent vertices. The space complexity of this representation is O(n + m), where n is the number of vertices and m is the number of edges.

Each vertex requires constant space, and each edge is represented by a link or entry in the adjacency list.

b) Adjacency matrix:

In an adjacency matrix representation, we use a 2D matrix of size n x n to represent the graph. Each entry (i, j) in the matrix represents whether there is an edge between vertices i and j. The space complexity of this representation is O(n^2), as we need to store n^2 entries for the complete matrix. However, if the graph is sparse (few edges compared to vertices), the space complexity can be reduced to O(n + m) by only storing the entries corresponding to the existing edges.

c) Incidence matrix:

In an incidence matrix representation, we use a 2D matrix of size n x m, where n is the number of vertices and m is the number of edges. Each entry (i, j) in the matrix represents whether vertex i is incident to edge j. The space complexity of this representation is O(n * m), as we need to store n * m entries for the matrix.

Similar to the adjacency matrix, if the graph is sparse, the space complexity can be reduced to O(n + m) by storing only the entries corresponding to the existing edges.

In summary:

a) Adjacency lists: O(n + m)

b) Adjacency matrix: O(n^2) or O(n + m) for sparse graphs

c) Incidence matrix: O(n * m) or O(n + m) for sparse graphs

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In single-factor experiments, if Στ. = 0 i=1 where T, resembles the effect of the ith level, then Ti all treatment means must be equal. Select one: True False

Answers

True, if Στ = 0 in a single-factor experiment, then all treatment means must be equal.

In single-factor experiments, if the sum of the treatment effects (Στ) is equal to zero (Στ = 0) for all levels (i=1 to n), then it implies that all treatment means (Ti) must be equal.

In a single-factor experiment, a single independent variable (factor) is manipulated, and its effect on the dependent variable is studied across different levels or treatments.

The treatment effects (τ) represent the differences in the mean response between each treatment level and the overall mean of the dependent variable.

If the sum of these treatment effects (Στ) is equal to zero (Στ = 0), it means that the positive and negative differences cancel each other out, resulting in a net effect of zero.

If Στ = 0, it implies that the total treatment effect across all levels is balanced, indicating that there are no systematic differences between the treatment means.

Consequently, if all treatment effects cancel out and Στ = 0, it implies that the means of all treatment levels (Ti) must be equal since any deviations from the overall mean are offset by equal and opposite deviations in other treatment levels.

Therefore, if Στ = 0 in a single-factor experiment, it indicates that all treatment means must be equal.

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82,300,000 in scientific notation

Answers

Answer:

82300000 in scientific notation = 8.23 × 107.

Step-by-step explanation:

Not sure if that's right.

Answer:

8.23×10^7

Step-by-step explanation:

to convert a number i to scientific form just drag the point to first non zero digit and write it with some multiple of 10

how much time fo students at your school spend on the internet? you collect sata from the 32 members of your ap statistics class and calculate the mean amount of time that these students spent on the internet yesterday

Answers

Calculating the mean amount of time that these students spent on the internet yesterday it is not appropriate because sample is a convenience sample to determine condition for population mean.

In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode.

The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organized in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.

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We can view ⊂ as a binary relation between sets, because given any two sets A,B, either A⊂B or A⊂B. Let S be an arbitrary nonempty set and P(S) its power set. Is ⊂ a partial order on P(S) ? Is it also a total order? Explain.

Answers

The relation ⊂ (subset) can be considered as a binary relation between sets, and it is a partial order on the power set P(S) of an arbitrary nonempty set S. However, it is not a total order.

A partial order is a binary relation that satisfies three properties: reflexivity, antisymmetry, and transitivity. Let's analyze whether ⊂ satisfies these properties for the power set P(S).

Reflexivity: For any set A, A is a subset of itself (A⊂A) holds true. Therefore, ⊂ is reflexive.

Antisymmetry: If A⊂B and B⊂A, then A and B must be equal sets. In other words, if two sets are subsets of each other, they must be the same set. This property is satisfied, and ⊂ is antisymmetric.

Transitivity: If A⊂B and B⊂C, then A⊂C. If one set is a subset of another set, and the other set is a subset of a third set, then the first set is also a subset of the third set. This property is satisfied, and ⊂ is transitive.

Therefore, ⊂ satisfies the properties of reflexivity, antisymmetry, and transitivity, making it a partial order on P(S).However, ⊂ is not a total order because it does not satisfy the total ordering property. In a total order, for any two distinct elements, one must be greater than or equal to the other. In the case of ⊂, there are sets A and B that are not subsets of each other (neither A⊂B nor B⊂A). Therefore, it is not a total order.

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Question 8(Multiple Choice Worth 5 points)

(05.01 MC)

Which statement best describes the area of Triangle ABC shown below?

A triangle ABC is shown on a grid. The vertex A is on ordered pair 4 and 5, vertex B is on ordered pair 6 and 2, and the vertex C is on ordered pair 2 and 2.

It is twice the area of a square of side length 4 units.
It is one-half the area of a square of side length 4 units.
It is twice the area of a rectangle with sides 4 units × 3 units.
It is one-half the area of a rectangle with sides 4 units × 3 unit

Question 8(Multiple Choice Worth 5 points)(05.01 MC)Which statement best describes the area of Triangle

Answers

Answer:

It is twice the area of a rectangle with sides 4 units × 3 units.

Answer:

C as far as i know

Step-by-step explanation:

In a​ survey, 400 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 3.

Number 1 2 3 4 5
Frequency 32 96 128 112 32

Answers

Answer:

The value of the experimental probability is greater

Step-by-step explanation:

For the theoretical probability;

the probability that a card with the number 3 is selected is 1/5

We consider that the probabilities of each selection are equal, for the theoretical probability

For the experimental, we simply place the frequency of the selection 3 over the total

that will be 128/400 = 8/25

As we know that 8/25 is greater than 1/5

We can conclude that the value of the experimental probability is greater than that of the theoretical

Answer:

I hate math

Step-by-step explanation:

√≈≈≈≈≈Which of the following is a one-to-one function? y = [[2x]], y = x^2, f(x) = { 4x + 1;x < -2

Answers

The one-to-one function is obtained as f(x) = 4x + 1 which is a linear function.

What is a function?

A function y = f(x) is defined as a one to one relation between sets X and Y. The set X is called the domain while Y is called the range of f(x).

A function can either have one-to-one or many-to-one mapping.

One-to-one mapping implies unique element in the domain for each element in the range while for many-to-one mapping there are many elements in the domain for one element in the range.

The given functions are y = [2x] , y = x² and f(x) = 4x + 1 respectively.

They can be examined one by one as follows,

(a) y = [2x]

It is a greatest integer function.

At x = 1.1, y = [2 × 1.1] = [2.2] = 2

And, for x = 1.2, y = [2 × 1.2] = [2.4] = 2

It implies for different values of x, the function has same value.

Thus, it is not one-to-one function.

(b)  y = x²

Find values of the function at two different x as,

x = -2, f(x) = (-2)² = 4

And, for x = 2, f(x) = 2² = 4.

It implies for different values of x, the function has same value.

Thus, it is not one-to-one function.

(c) f(x) = 4x + 1

It is a equation of a straight line.

Which implies it has different values for different values of x.

Thus, it is a  one-to-one function.

Hence, out of the given functions only f(x) = 4x + 1 is one-to-one.

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Evaluate express your answer in exact simplest form9P4=

Answers

The formula for Permutation is,

\(^nP_r=\frac{n!}{\left(n-r\right)!}\)

The expression given is,

\(^9P_4\)

Given:

\(n=9,r=4\)

Plug in n = 9, r = 4

\(\frac{9!}{\left(9-4\right)!}\)

Simplify

\(\frac{9!}{5!}=\frac{9\times8\times7\times6\times5!}{5!}=9\times8\times7\times6=3024\)

Hence, the answer is 3,024.

Please help
I’m need this because it’s already late

Please help Im need this because its already late

Answers

Answer:

KL = 12

Step-by-step explanation:

KL/GH = NK/JG

KL/37 = 17/52.5

52.5·KL = 629

KL = 11.98

Find the sum to infinity of the infinite G.P.
1-½+¼........​

Answers

Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

The sum to infinity of a GP is

\(S_{infinity}\) = \(\frac{a}{1-r}\) ; | r | < 1

where a is the first term and r the common ratio

Here a = 1 and r = - \(\frac{1}{2}\) ÷ 1 = - \(\frac{1}{2}\) , thus

\(S_{infinity}\) = \(\frac{1}{1-(-\frac{1}{2}) }\) = \(\frac{1}{1+\frac{1}{2} }\) = \(\frac{1}{\frac{3}{2} }\) = \(\frac{2}{3}\)

Answer:

2/3

Step-by-step explanation:

1-1/2+1/4.....

\(r=\frac{\frac{-1}{2} }{1} =-\frac{1}{2} \\if~|r|<1,then~s_{\infty}=\frac{a}{1-r} ,a=first~term.\\s_{\infty}=\frac{1}{1-(\frac{-1}{2}) } =\frac{1}{1+\frac{1}{2} } =\frac{1}{\frac{3}{2} } =\frac{2}{3}\)

square root of 33 to the nearest interger

Answers

Answer:

6

Step-by-step explanation:

the square root of 33 to the nearest integer is 6

If two quantities are proportional, which must be true of a graph showing the relationship between them? Select all that apply. A The graph is a curve. B The points on the graph are connected. C The graph increases from left to right. D The points of the graph form a straight line. E The points of the graph must include the origin. F The points must all form equivalent ratios.

Answers

If two quantities are proportional, the true statements about the graph showing the relationship between them are-

D. The points of the graph form a straight line.

E. The points of the graph must include the origin.

F. The points must all form equivalent ratios.

What is proportionality?

In mathematics, two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is called the coefficient of proportionality or proportionality constant.

Now let us suppose there are two quantities x and y.

A graph between two quantities is plotted.

Suppose x is directly proportional to y.

Thus, these Two variable quantities have a constant ratio

So, we can write

y ∝ x

Applying constant of proportionality,

y = kx

Where k is the constant of proportionality.

It represents a straight line.

Now,the value of x = 0 then the value of y must be equal zero, then the line which represented the direct variation must be passes through the origin

Now  If two variable quantities have a constant ratio and since y = kx is a straight line and passes through origin therefore from the given options the correct answer are-

D. The points of the graph form a straight line.

E. The points of the graph must include the origin.

F. The points must all form equivalent ratios.

Thus, If two quantities are proportional, the true statements about the graph showing the relationship between them are-

D. The points of the graph form a straight line.

E. The points of the graph must include the origin.

F. The points must all form equivalent ratios.

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