how do I solve this question ?

The proportional relationship between the price and quantity of ears of corn can be represented using a table or a graph, showing how the price and quantity vary in a consistent manner.

One way to represent the proportional relationship between the price and quantity of ears of corn is by using a table:

Price (in dollars) Quantity (in ears of corn)

             2             5

             4             10

This table shows the corresponding values of the price and quantity.

As we can observe, when the price is $2, the quantity is 5 ears of corn, and when the price is $4, the quantity is 10 ears of corn.

The relationship is proportional because as the price doubles, the quantity also doubles.

Another representation of this proportional relationship is through a graph.

We can plot the points (2, 5) and (4, 10) on a coordinate plane, where the x-axis represents the price and the y-axis represents the quantity.

By connecting these two points with a straight line, we can visualize the proportional relationship.

The line will pass through the origin (0, 0) since zero price corresponds to zero quantity.

The slope of the line will indicate the rate of change between price and quantity.

For similar question on proportional.

https://brainly.com/question/29774220  

#SPJ8

Step-by-step explanation:

to find the answer divide 89.99 by 8

so you got the answer

89.99 ÷ 8 = 11.24875

hope it help you

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

Answer:

Present age = 13 years

Step-by-step explanation:

Let the present age be x years.

14 years after age = (x + 14) years

4 years ago age = (x - 4)

According to the given information:

14 years after age = 3 times 4 years ago age

x + 14 = 3(x - 4)

x + 14 = 3x - 12

14 + 12 = 3x - x

26 = 2x

x = 26/2

x = 13 years

Thus, the present age is 13 years

Answer:

fourth one

Step-by-step explanation:

Answer:

c = 10 / x

Step-by-step explanation:

3(cx - 7) = 9

value in terms of c

c = 10 / x

Using the definition of Big-0,

1. f(n) = O(g(n)) with c = 4 and k = 1.

2. f(n) = O(g(n)) with c = 7 and k = 1.

3. f(n) = O(g(n)) with c = 7 and k = 1.

4. f(n) = O(g(n)) with c = 6 and k = 1.

5. f(n) is not O(g(n)).

To determine the values of c and k for which f(n) = O(g(n)), we need to find constants c and k such that |f(n)| ≤ c|g(n)| for all n ≥ k.

1. For f(n) = \(n^2 + 2n + 1\) and g(n) = \(n^2\) :

  We have |f(n)| = \(n^2 + 2n + 1 ≤ n^2 + 2n^2 + n^2 = 4n^2\) for n ≥ 1.

  Therefore, we can choose c = 4 and k = 1.

2. For f(n) = \(3n^2 + n + 3\) and g(n) = \(n^3\) :

  We have |f(n)| = \(3n^2 + n + 3 ≤ 3n^3 + n^3 + 3n^3 = 7n^3\) for n ≥ 1.

  Therefore, we can choose c = 7 and k = 1.

3. For f(n) = \(n^2 + 6n\) and g(n) = n:

  We have |f(n)| = \(n^2 + 6n ≤ n^2 + 6n^2 = 7n^2\) for n ≥ 1.

  Therefore, we can choose c = 7 and k = 1.

4. For f(n) = 5n + 4 and g(n) = n:

  We have |f(n)| = 5n + 4 ≤ 5n + n = 6n for n ≥ 1.

  Therefore, we can choose c = 6 and k = 1.

5. For f(n) = n + 20 and g(n) = \(n^2\):

  We have |f(n)| = n + 20 ≤ \(n^2 + 20n\) for n ≥ 1.

  However, there are no constants c and k that can satisfy the condition for all n ≥ k since the growth rate of \(n^2 + 20n\) is higher than n + 20. Therefore, f(n) is not O(g(n)).

To know more about Big-0 refer here:

https://brainly.com/question/33167111

#SPJ11

If f(x) = x - 5, then matches  of the following are

f(-1)= -6

f(0)= -5

f(1)= -4

f(2)= -3

f(5)= 0

f(8)= 3

Substitutiοn is a prοblem-sοlving strategy used in mathematics and οther fields tο simplify and sοlve cοmplex equatiοns οr systems οf equatiοns. The methοd invοlves replacing οne variable οr expressiοn with anοther, simpler οne, in οrder tο simplify the οverall equatiοn οr system.

The gοal οf substitutiοn is tο reduce the equatiοn οr system tο a fοrm where it can be sοlved mοre easily, οften by isοlating οne variable and sοlving fοr it. Substitutiοn can be used tο sοlve equatiοns with οne οr multiple variables and can be applied tο a variety οf mathematical cοncepts such as algebra, geοmetry, calculus, and mοre.

Using the given functiοn, f(x) = x - 5, we can substitute the given values οf x and evaluate f(x) as fοllοws:

Given f(x)=x-5

f(-1)= -1-5

   = -6

f(0)=0-5

     = -5

f(1)=1-5

    = -4

f(2)=2-5

   = -3

f(5)=5-5  

    =0

f(8)=8-5

= 3

To learn more about Substitution technique click here

https://brainly.com/question/30239466

#SPJ1

Complete question:

If f(x) = x - 5, then match each of the following.

1. f(-1) -3

2. f(0) 0

3. f(1) -6

4. f(2) -5

5. f(5) -4

6. f(8) 3

The answer is (a) 0.8161.

In statistical analysis, the proportion of the variation in the response variable (selling price) explained by the predictor variables (square footage, age, number of bedrooms, number of bathrooms, and number of garages) is known as the coefficient of determination or R-squared value. The R-squared value ranges from 0 to 1, where a value closer to 1 indicates that the predictor variables explain a higher proportion of the variation in the response variable. In this case, an R-squared value of 0.8161 suggests that the predictor variables (square footage, age, number of bedrooms, number of bathrooms, and number of garages) explain about 81.61% of the variation in the selling price.

The R-squared value is an important statistic in regression analysis, as it indicates the goodness of fit of the regression model. A high R-squared value suggests that the model fits the data well and can be used to make accurate predictions. However, a high R-squared value does not necessarily mean that the regression model is the best model for the data. It is important to also consider other factors such as model complexity and statistical significance of the predictor variables.

To learn more about coefficient, click here:

brainly.com/question/1594145

#SPJ11

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

Learn more about equation at

https://brainly.com/question/12998758

#SPJ11

Answer:

5/8

Step-by-step explanation:

There are 8 sections, and 4 sections that are 1, and 1 pink section. So adding these up, we get 5/8.

Hope this helped! :)

Answer: 1.2 m

Step-by-step explanation:

Given

The length of the ramp to the building is 3.7 m

Distance from the beginning of the ramp to the base of the building is 3.5 m.

Suppose h is the height of the ramp

from the figure, we can write

\(\Rightarrow 3.7^2=3.5^2+h^2\\\Rightarrow 13.69-12.25=h^2\\\Rightarrow h^2=1.44\\\Rightarrow h=1.2\ m\)

So, the height of the ramp is 1.2 m

Answer:

How should I answering the math

Yes, we can conclude that A = B. This is because the given conditions state that the union and intersection of A and C are equal to the union and intersection of B and C, respectively.

This implies that the elements in A and B are the same, as they share the same elements with C. Therefore, A and B are equivalent, and we can conclude that A = B. The given conditions also ensure that all the elements in A and B are contained within C, so they do not affect the equality of A and B. Overall, the given conditions provide enough information to conclude that A = B. Based on the given information, we cannot definitively conclude that A = B. Although the union and intersection of A and B with C are equal, this does not guarantee that A and B are identical sets. To prove A = B, we need to show that every element in A is also in B, and vice versa. Without additional information about the specific elements in sets A, B, and C, we cannot reach a conclusion about the equality of A and B. It's possible that they are equal, but the provided conditions are not sufficient to prove it.

To know more about intersection visit:

https://brainly.com/question/12089275

#SPJ11

Answer:

Step-by-step explanation:

Answer:

the answers in the photo

Step-by-step explanation:

Answer:

f(2) = 4

f(3) = 9

Step-by-step explanation:

a function means you are supposed to input the given number into the statement you have been given, I hope it makes sense.

The value of C needed to obtain a solution that satisfies the initial condition y(1) = 2 is C = 2/e.

In the given problem, we have a function y(t) = Ce^t^2, where C is a constant.

To show that y is a solution to the differential equation y' - 2ty = 0, we need to substitute y(t) into the equation and verify that it holds true. Let's differentiate y(t) with respect to t:

y'(t) = 2Cte^t^2.

Now substitute y(t) and y'(t) back into the differential equation:

y' - 2ty = 2Cte^t^2 - 2t(Ce^t^2) = 2Cte^t^2 - 2Cte^t^2 = 0.

As we can see, the expression simplifies to zero, confirming that y(t) satisfies the given differential equation.

To find the value of C that satisfies the initial condition y(1) = 2, we substitute t = 1 and y = 2 into the equation:

2 = Ce^(1^2) = Ce.

Solving for C, we have C = 2/e.

Therefore, the value of C needed to obtain a solution that satisfies the initial condition y(1) = 2 is C = 2/e.

For more information on initial value visit: brainly.com/question/30153142

#SPJ11

Answer:

h=3U

Step-by-step explanation:

flip the equation

U=1/3h

multiply both sides by 3 to get h by itself

U (3) and 1/3h (3)

h=3U

To rotate a point 180° clockwise about the origin, we essentially need to flip the point across the x-axis and then across the y-axis. So the x-coordinate of point A' is -3.

This means that the x-coordinate of the point will become its opposite (negation) and the y-coordinate of the point will also become its opposite.

So, in this problem, we have the point A with coordinates (3, 2). To rotate this point 180° clockwise about the origin, we will negate both the x and y coordinates of the point:

The negation of 3 is -3, so the new x-coordinate of the point will be -3.

The negation of 2 is -2, so the new y-coordinate of the point will be -2.

Putting these together, we get the new coordinate of the point A' as (-3, -2).

So the x-coordinate of point A' is -3.

To learn more about origin please click on below link.

https://brainly.com/question/28528569

#SPJ4

the ordered pair that corresponds to the given pair of parametric equations and the value of t is (14,-5).

To find the ordered pair that corresponds to the given pair of parametric equations and the value of t, we substitute t=3 into the equations for x and y. This gives us:
x = 3t + 5
x = 3(3) + 5
x = 9 + 5
x = 14
y = -2t + 1
y = -2(3) + 1
y = -6 + 1
y = -5
We can confirm that this is the correct answer by plotting the parametric equations and checking that the point (14,-5) lies on the curve at t=3.
In summary, to find the ordered pair that corresponds to a pair of parametric equations and a value of t, we substitute the given value of t into the equations for x and y. This gives us the x and y coordinates of the point on the curve at the given value of t. The ordered pair is then formed by combining these coordinates.

learn more about parametric equations here:

https://brainly.com/question/29275326

#SPJ11

Answer:

42°

Step-by-step explanation:

The interior angles of a triangle always add to 180 degrees.

90+48+x=180

x=180-90-48

=42

x is 42°

The transformed equation is y=-(1/7)(x+8)³ when 1/7 vertical compression, an 8-unit horizontal shift to the left, and an x-axis reflection.

Given that,

We have to find what does y=x³ with the specified transformations look like. 1/7 vertical compression, an 8-unit horizontal shift to the left, and an x-axis reflection

We know that,

The equation is y=x³

We must multiply the function by 1/7 in order to get a vertical compression of a factor of 1/7.

So,

y=(1/7)x³

We must add 8 to x in order to obtain a horizontal shift of 8 units to the left.

So,

y=(1/7)(x+8)³

Finally, we need to multiply the function by one in order to have a reflection over the x-axis.

So,

y=-(1/7)(x+8)³

Therefore, the transformed equation is y=-(1/7)(x+8)³ when 1/7 vertical compression, an 8-unit horizontal shift to the left, and an x-axis reflection.

To learn more about transformation visit: https://brainly.com/question/11709244

#SPJ1

The distance from -4 to 1 is 5 units.

The correct number line and expression to find the distance from -4 to 1 are:

Number line: -4 -3 -2 -1 0 1

Expression: |-4 - 1|

To find the distance, we subtract the smaller number (-4) from the larger number (1) and take the absolute value:

|-4 - 1| = |-5| = 5

Therefore, the distance from -4 to 1 is 5 units.

​for such more question on distance

https://brainly.com/question/12356021

#SPJ8

We have that after answering the provided question As a result, the function transition from ABC to A'B'C' is R90 Fy.

In mathematics, a function is a connection between two sets of numbers in which each member of the first set (known as the domain) corresponds to a single element in the second set (called the range). In other words, a function takes inputs from one set and produces outputs from another. Inputs are commonly represented by the variable x, whereas outputs are represented by the variable y. A function can be described using an equation or a graph. The equation y = 2x + 1 represents a linear function in which each value of x yields a distinct value of y.

The transformation from ABC to A'B'C' is a 90-degree anticlockwise rotation about the origin followed by a reflection across the y-axis. R90 Fy: (x,y) is the coordinate notation for this transformation (-y,x)

Hence, when we apply this transformation to the ABC vertices, we get:

A (-3,-1) → A' (1,-3) (1,-3)

B (-1,3) → B' (-3,-1) (-3,-1)

C (3,1) → C' (-1,-3) (-1,-3)

A (-3,-1) → A'' (1,-3) (1,-3)

B (-1,3) → B'' (-3,-1) (-3,-1)

C (3,1) → C'' (-1,-3) (-1,-3)

Then, we apply the reflection transformation to the rotation result, yielding the following image:

A'' (1,-3) → A' (1,-3) (1,-3)

B'' (-3,-1) → B' (-3,-1) (-3,-1)

C'' (-1,-3) → C' (-1,-3) (-1,-3)

As a result, the transition from ABC to A'B'C' is R90 Fy.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

In Problem 1, the measure of each marked angle is as follows:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.In Problem 2, the angles indicated by the letters in the given figure are as follows:c = 65º, d = 95º, e = 65º, f = 95º, g = 85º, and h = 85º.

Problem 1:The measures of the marked angles are as follows:(7x + 19)º and (-3x + 5)º are supplementary angles since they are the interior angles on the same side of the transversal "V Vest".

Therefore, we can say: (7x + 19)º + (-3x + 5)º = 180º Simplifying, 7x + 19 - 3x + 5 = 180

Combine like terms and solve for x: 4x + 24 = 180 4x = 180 - 24 4x = 156 x = 39 Now substitute x = 39 in the given expressions and find the value of each angle.

(7x + 19)º = (7 × 39 + 19)º = 292º(-3x + 5)º

= (-3 × 39 + 5)º = -112º(-8x + 30)º = (-8 × 39 + 30)º

= -282º(32 - 2x)º = (32 - 2 × 39)º = -46º(10x - 10)º

= (10 × 39 - 10)º = 380º(2x + 18)º = (2 × 39 + 18)º = 96º(8x + 14)º

= (8 × 39 + 14)º = 326º(12x + 40)º = (12 × 39 + 40)º

= 508º(20x + 10)º = (20 × 39 + 10)º = 790º

Therefore, the measures of the marked angles are:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.Problem 2:The angles indicated by the letters in the given figure are as follows: Angle c: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: c = 65º.Angle d: Vertically opposite angles are equal. Therefore, we can say: d = 95º.

Angle e: Alternate interior angles with respect to the parallel lines n and m are equal. Therefore, we can say: e = 65º.Angle f: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: f = 95º.Angle g: Interior angles on the same side of the transversal are supplementary. Therefore, we can say: g = 180º - 95º = 85º.Angle h: Vertically opposite angles are equal. Therefore, we can say: h = 85º.

To know more about angle visit:-

https://brainly.com/question/31818999

#SPJ11

Answer:

B and C are parallel lines.  A is not parallel.

Step-by-step explanation:

[Brainly somehow saw inappropriate language and blocked posting my original answer.  I can't find the problem, so am randomly altering words.  I hope it is still useful]

See attachments.  Find the slopes for the three Lines as per the attached image.  Slopes are the Rise/Run, calculated for the given points for each line.  The y-intercept, b, is calculated by using the slope and one of the points for each line with:  b = y - mx.

We see that the slopes of lines B and C are both (2/3).  Parallel Lines have the same slope, so B and C are parallel.  A, with a slope of 1, is not parallel.

 So we have the answer to the question, without the need for calculating b.  But in the spirit of making a graph to prove the point, b is calculated and the three equations are graphed in the second attachment.  Note that Lines B (Red) and C (Blue/Green) are parallel.  A  is not parallel.

The surface area of a square pyramid net can be found by adding the areas of the base and the four triangular faces.

First, find the area of the base by multiplying the length and width of the square base.

Area of base = length × width

Next, find the area of one of the triangular faces by using the formula:

Area of triangle = 0.5 × base × height

Since there are four triangular faces in a square pyramid, multiply the area of one triangle by four to find the total area of the triangular faces.

Area of triangular faces = 4 × (0.5 × base × height)

Finally, add the area of the base and the area of the triangular faces to find the total surface area of the square pyramid net.

Surface area = Area of base + Area of triangular faces

= (length × width) + (4 × (0.5 × base × height))

= (length × width) + (2 × base × height)

So, the surface area of a square pyramid net is the sum of the area of the base and the area of the four triangular faces.

To know more about surface area click below:

https://brainly.com/question/29298005#

#SPJ11