I'm having a problem with this can anyone help?
Which equation below represents a proportional relationship?

There may be more than 1 correct answer.

y = 7x
y = 1/7 x
y = x
y = 7x + 2

Answer:

what equation.?

Step-by-step explanation:

It is given that:

1) f(g(x)) will be:

2)The domain will be all real numbers except x=-4.

3)g(f(x)) will be:

4) The domain of g(f(x)) is:

5) f(f(x)) is given by:

6)The domain of f(f(x)) is:

7) g(g(x)) is calculated as:

8)The domain of g(g(x)) is:

Answer:

Step-by-step explanation:

Pedometer

The moment of inertia of the plate with respect to the x-axis is 6.

To find the moment of inertia of a plate with respect to the x-axis, we use the formula:

\(I_x\) = ∫∫\(y^2\) dA

where dA is the differential area of the plate.

In this case, the plate is bounded by x = -1, x = 1, y = 0, and y = 3. So, we need to integrate \(y^2\) over this region.

\(I_x\) = ∫∫\(y^2\) dA

= ∫\(_{-1}^{1}\) ∫\(_{0}^{3} y^2\) dy dx

= ∫\(_{-1}^{1}\) \([y^3/3]{0}^{3}\)dx (integrating with respect to y first)

= ∫\({-1}^{1}\)9/3 dx

= 6

Therefore, the moment of inertia of the plate with respect to the x-axis is 6.

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An equation in slope-intercept form of the line that passes through the point (0, -4) and (2, 0) is y = 2x - 4.

In Mathematics, the point-slope form of any straight line can be calculated by using the following mathematical expression:

\(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\) or y - y₁ = m(x - x₁)

Where:

At data point (0, -4), a linear equation of this line can be calculated in slope-intercept form as follows:

\(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\)

\(y - (-1) = \frac{(0- (-4))}{(2 - 0)}(x - 0)\\\\y +1 = \frac{(0+4)}{(2 - 0)}(x - 0)\)

y + 4 = 2(x - 0)

y = 2x - 4

In this context, we can reasonably infer and logically deduce that a linear equation or function of the line with these the points (0, -4) and (2, 0) in slope-intercept form is y = 2x - 4.

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Answer:

\(x\textdegree = 120\textdegree\)

Step-by-step explanation:

Because alternate exterior angles (of a transversal that intersects parallel lines) are congruent, the bottom left interior angle of the triangle is 55º.

Using this information, we can solve for the bottom right interior angle of the triangle (denoted θ) by setting the sum of the measures of the triangle's interior angles to 180º.

\(55\textdegree + 65\textdegree + \theta = 180\textdegree\)

↓ subtract 55º and 65º from both sides

\(\theta = (180-55-65)\textdegree\)

↓ simplify

\(\theta = 60\textdegree\)

Now that we have the measure of the triangle's bottom right interior angle, we can solve for xº because an interior angle of a triangle and its corresponding exterior angle are supplementary (their angle measures add to 180º).

\(\theta + x\textdegree = 180\textdegree\)

↓ plug in the solved value for θ

\(60\textdegree + x\textdegree = 180\textdegree\)

↓ subtract 60º from both sides

\(x\textdegree = (180 - 60)\textdegree\)

↓ simplify

\(x\textdegree = 120\textdegree\)

Answer:

$19.00

Step-by-step explanation:

If a paper company needs to ship paper to a late printing business. 12 small boxes were shipped and 8 large boxes were shipped.

Using a system of equations to represent the problem.

Let x represent the number of small boxes shipped

Let  y represent the number of large boxes shipped.

We know that:

x + y = 20 (the total number of boxes shipped)

8x + 21y = 264 (the combined volume of all boxes )

Solving the first equation for y: y = 20 - x

Substituting this expression for y into the second equation:

8x + 21(20 - x) = 264

8x + 420 - 21x = 264

-13x = -156

x = 12 (small boxes)

So,

y = 20 - x

y = 20 -12

y = 8 (Large boxes)

Therefore 12 small boxes were shipped and 8 large boxes were shipped.

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Step-by-step explanation:

go right 4

go down 3

it is the answer

Each t-shirt costs $15, and each pair of gym shorts costs $16.

Let's call the cost of each t-shirt "x". Then the cost of each pair of gym shorts is x + $1.

We know that the total cost of the t-shirts is 5 * x, and the total cost of the gym shorts is 2 * (x + $1).

We also know that the total cost of all items is $107, so we can write an equation to represent this information:

5x + 2(x + $1) = $107

5x + 2x + 2 = $107

7x + 2 = $107

7x = $105

x = $15

So, each t-shirt costs $15, and each pair of gym shorts costs $15 + $1 = $16.

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Answer:

No.

Step-by-step explanation:

If Marissa subtracts a negative number, it would be like - -x, which is x. So, her result would be positive.

Hope this helps!

Answer:

Now, 4 - ( -3 ) = 4 + 3 = 7.

Step-by-step

So, we see that the resulting number is a positive number.

That is, the minus operation with the negative sign will become addition operation.

Hence, the fact that Marissa is obtaining a negative number after subtracting a positive number by a negative number is not reasonable.

Answer:

The coordinates are \(Y'(x,y) = (3, 8)\) and \(Z'(x,y) = (10, 13)\).

Step-by-step explanation:

First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:

\(X'(x,y) = X(x,y) + T(x,y)\) (1)

Where \(T(x,y)\) is the vector translation.

If we know that \(X(x,y) = (2,3)\) and \(X'(x,y) = (4,7)\), then the vector translation is:

\(T(x,y) = X'(x,y)-X(x,y)\)

\(T(x,y) = (4,7) - (2,3)\)

\(T(x,y) = (2, 4)\)

Then, we determine the coordinates for Y' and Z':

\(Y'(x,y) = Y(x,y) + T(x,y)\)

\(Y'(x,y) = (1,4) + (2,4)\)

\(Y'(x,y) = (3, 8)\)

\(Z'(x,y) = Z(x,y) + T(x,y)\)

\(Z'(x,y) =(8,9) + (2,4)\)

\(Z'(x,y) = (10, 13)\)

The coordinates are \(Y'(x,y) = (3, 8)\) and \(Z'(x,y) = (10, 13)\).

Answer:

No, for various value of x the number of tickets sold by me and my friend for the fundraiser can vary but will always remain in the ratio of 11:5.

Step-by-step explanation:

It is given that for a fundraiser, the ratio of tickets you sold to tickets your friend sold was 11:5.

Let us look at the ratio of tickets sold by both the persons.

Now, according to the condition given and the ratio mentioned in the question;

The number of tickets sold by me for the fundraiser be = 11x

and

The number of tickets sold by my friend for the fundraiser be = 5x

It is observed that total number of tickets sold by me and my friend are;

=> 11x + 5x

So, it is inferred that the number of tickets sold by me and my friend are not 11 and 5 respectively and can vary upon the value of x.

For instance, if the value of x = 2 than;

=> 11x + 5x

=> 11 × 2 + 5 × 2

=> 22 + 10

=> 32 tickets

Therefore,

No, for various value of x the number of tickets sold by me and my friend for the fundraiser can vary but will always remain in the ratio of 11:5.

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Step-by-step explanation:

Let's start by writing down Eric's score after each event:

- Starting score: 31,500 points

- Earns 2,450 additional points: 31,500 + 2,450 = 33,950 points

- Loses 3,310 points: 33,950 - 3,310 = 30,640 points

- Score doubles: 30,640 x 2 = 61,280 points

Therefore, the expression for the number of points Eric has at the end of the game is:

2(31,500 + 2,450 - 3,310)

Simplifying the expression:

2(30,640)

61,280

Therefore, Eric has 61,280 points at the end of the game.

Answer:

B. rotation

Step-by-step explanation:

A reflection would mean that the shape would be mirrored across the y-axis or the x-axis. A translation means that nothing about the shape changes except for the location. A dilation (not an answer option but still helpful to know) is the change in size of the shape. And finally, the correct answer for this problem, a rotation means that the shape is rotated at a specific point.

I included a picture that uses a shape to help explain this idea. I hope this helps! Have a lovely day!! :)

Answer:

13

Step-by-step explanation:

\(\frac{91}{7}=\frac{70+21}{7}=10+3=13\)

The solution of 91 divided by 7 in simplest form is,

⇒ 13

We have to given that,

To simplify 91 divided by 7 in simplest form.

It can be written as,

⇒ 91 ÷ (7)

⇒ 91 / 7

⇒ 13

Therefore, The solution of 91 divided by 7 in simplest form is,

⇒ 13

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Answer:

$58.31

Step-by-step explanation:

$49÷100×119= $58.31

Answer:

$58.31

Step-by-step explanation:

First, find the tip.

Multiply the tip rate by the check total.

tip = tip rate * check total

The tip rate is 19% and the total is $49.

tip = 19% * $49

Convert 19% to a decimal. Divide 19 by 100 or move the decimal place 2 spots to the left.

19/100=0.19                or               19.0  -->  1.9  -->  0.19

tip = 0.19 * $49

tip= $9.31

Next, find the total.

Add the tip to the check total.

total = tip + check total

The tip is $9.31 and the check total is $49.

total = $9.31 + $49

total= $58.31

The total with tip is $58.31

The researcher should consider the following steps when creating the two groups: Random assignment, Pairing students with similar abilities, Controlling for potential confounding variables,

Collecting data and analyzing results.
Random assignment:

To minimize any potential bias, the researcher should randomly assign one student from each pair to receive extra homework problems while the other does not.
Pairing students with similar abilities:

In order to make a valid comparison, the researcher should pair students with similar algebra skills or previous performance in the subject.

This way, any observed differences in the test results are more likely to be due to the extra homework rather than differences in ability.
Controlling for potential confounding variables:

The researcher should control for any other factors that could influence students' algebra test results, such as attendance, study habits, and teacher quality.

After the two-week period, the researcher should collect the test scores of both groups and compare their performance.

This can be done using statistical methods, such as a paired t-test, to determine if there is a significant difference between the groups.

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Answer:

They did the multiplication incorrectly

Step-by-step explanation:

The correct statements are:

The triangle and trapezoid area formulas have 1/2.

The parallelogram and rectangle formulas are both the same.

In the trapezoid formula, the bases are added.

A triangle is a polygon with three sides and three vertices. A triangle's angles add up to 180 degrees.

Area of a triangle = 1/2 x base x height

A trapezium is a quadrilateral that is convex. A trapezium is made up of at least two parallel sides. Area of a trapezium = 1/2  x (sum of the lengths of the parallel sides) x height

A rectangle is a quadrilateral in two dimensions with four right angles. Area of a rectangle = length x width

A parallelogram is a quadrilateral with two parallel sides. The opposite sides equal in length

Area of a parallelogram = base x height

Hence, the correct statements are options (A), (B), and (D).

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The question seems to be incomplete the correct question would be:

A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The neighborhood is

considering how to split up the area. Which statements about the formulas for finding areas are true? Check all that

apply.

A. The triangle and trapezoid area formulas have 1/2.

B. The parallelogram and rectangle formulas are both the same.

C. In the parallelogram formula, the bases are added.

D. In the trapezoid formula, the bases are added.

E. In the triangle formula, the sides are added, then multiplied by 1/2​

Answer:

x=1

Step-by-step explanation:

It will be x=1 because once it is at x=1, the parobola is split into 2 EQUAL parts. For example, if you graph this on paper and try to guess the middle and place a line where you want to split it, the line will go at x=1

Thank you :)

Answer:

7, 22, 39 hope this helps :)

Step-by-step explanation:

It’s adding 7, then 9, then 11, and so on.

The next three terms are 3, 12 and 21.

An arithmetic progression (AP) can be defined in one of two ways:

Given:

-33, -24, -15, -6, ...

first term,

a=-33

d= -24 + 33 = 9

so, \(a_5\) = a+ 4d

         = -33 +4(9)

         = 3

\(a_6\) = a+ 5d

         = -33 +5(9)

         = 12

\(a_7\) = a+ 6d

         = -33 +4(9)

         = 21

Hence, the next three terms are 3, 12 and 21.

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Given,

F= Fixed Cost = $18,000

V= Variable Cost per unit = $0.90

P= Price per unit = $3.20

a) Q= Quantity = 12,000 cupcakes annually

Total Cost (TC) formula is:TC = F + V x Q = 18,000 + 0.90 × 12,000 = $29,400

Total Revenue (TR) formula is:TR = P × Q = 3.20 × 12,000 = $38,400

Profit formula is:Profit = TR − TC = 38,400 − 29,400 = $9,000.

b) The bakery will need to sell 6,924 cupcakes in order to break even.

The formula for the Break-even point (BEP) is BEP = F / (P - V) = 18,000 / (3.20 - 0.90) = 6,923.08 ≈ 6,924 cupcakes

5. The graphical representation of the Break-even volume for the Gobblecakes bakery is shown below:

8. Break-even volume as a percentage of maximum operating capacity will be = 58%

Break-even volume as a percentage = (Break-even volume / Maximum operating capacity) x 100%

                                                             = (6,923.08 / 12,000) x 100% = 57.69% ≈ 58%

11. The new Break-even point (BEP) will increase from 6,924 cupcakes to 8,750 cupcakes.

When the selling price for a cupcake changes from $3.20 to $2.75, the new Break-even point (BEP) will be:

BEP = F / (P - V) = 18,000 / (2.75 - 0.90) = 8,750 cupcakes

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Answer: 1, 4, 7

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The limit can be expressed as a definite integral of the function y = f(x) on the interval [a, b] as ∫[a,b] f(x) dx. The evaluation of the definite integral depends on the specific function f(x) and the interval [a, b]. Interpreting the integral as an area, it represents the accumulated area under the curve of the function between the limits of integration [a, b].

To express the given limit as a definite integral, we start by considering the function y = f(x) and the interval [a, b]. The limit of the function as x approaches a can be written as lim[x→a] f(x). By expressing this limit as a definite integral, we have ∫[a,b] f(x) dx.

The definite integral represents the area under the curve of the function y = f(x) on the interval [a, b]. The integral sign, ∫, represents the summation of infinitely many small areas. The function f(x) determines the height of each infinitesimal rectangle, and dx represents the width. By integrating f(x) with respect to x over the interval [a, b], we calculate the total area enclosed between the curve and the x-axis.

To evaluate the definite integral in part (a), we need to know the specific function f(x) and the interval [a, b]. By evaluating the integral, we find the numerical value that represents the area under the curve. The evaluation of the definite integral can be done using various integration techniques, such as the fundamental theorem of calculus or integration rules specific to the function f(x)

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Answer: C = 12.56

Step-by-step explanation:

Since radius is 2, the diameter is double the radius which would be 4. C= 3.14 x 4. C = 12.56

Answer:

13680

Step-by-step explanation:

Since we have number from 0 to 39 inclusive, there are 40 number all together.

Now there are 20 odd numbers and 20 even numbers since half of the the numbers are odd and half even.

Now, since we require 3 numbers for our locker combination which are either all even or all odd, the number of ways we can arrange 3 numbers from 20 when the order matters is ²⁰P₃ = 6480 ways for either odd or even numbers. So, for both odd and even numbers, we have the sum of even and odd number of ways ²⁰P₃ + ²⁰P₃ = 2 × ²⁰P₃ = 2 × 6480 = 13680. So, we have 13680 combinations of locks.

Answer: False. 21 Shelves.

Step-by-step explanation:

First, 12 x 31= 372

This indicates that there are 372 books.

Then, 372 ÷ 18= 20.6666666667

Since we have a decimal that is above 4 we round up.

This leaves 21 shelves needed for all the books o fit on a shelf.

7) The minimum temperature is 31⁰F. So, the answer is option B.

The frequency of various types of values can be easily observed using a stem and leaf plot, also known as a stem and leaf diagram. This graph displays numerical data that is arranged in chronological order. There is a stem and a leaf for each piece of data.

Each first or second digit of the data value is divided into a stem, and the last digit is represented by a leaf, in a stem and leaf plot, which is represented by a particular table. The stem and leaf plot key is the "|" symbol that is used to indicate the values of the stem and the leaf. In the case of 46, the stem is 4 and the leaf is 6.

7) The minimum value in the stem is 3

And the minimum value in the leaf is 1

So, according to the given key 4|3=43°F

Here | denotes the key symbol.

So, in this solution the minimum value of stem is 3 and the minimum value of leaf is 1

Therefore, it must be 3|1

Hence, from the given key

This can be written as 31⁰F

Therefore, the answer is option B.

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There are the number of pods of peas are  = 38

A number is split in the straightforward action of division. It's simpler to visualize it as a set of items being distributed to a certain group of individuals, as in the scenario given above. Naturally, in the interest of fairness, you should always offer each person the same amount.

One of the four fundamental operations of arithmetic, or how to mix numbers to create new ones, is division. Addition, subtraction, and multiplication are the other operations.

total number of peas = 288

peas have per pod  = 6

total number of pods required  = 288/6

                                                    = 38

there are the number of pods of peas are  = 38

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I understand that the question you are looking for is:

George Mendel is examining peas to try to understand how traits are passed from parents to offspring. Today Gregor has 228 peas to examine . The pods have 6 peas per pod. How many pods of peas are there?