What kind of slope is this please help!

What Kind Of Slope Is This Please Help!

Answers

Answer 1

Type: Positive

Answer: y = 3/2x + 4

Formula: Rise | up = positive | down = negative

------

Run | right = positive | left = negative

Make sure to find 2 perfect points

aight i dont know what I did, but did it helped?


Related Questions

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

Answers

So its basically the same figure but 3 units up and 6 units left. (From bottom fig)
And 6 units right and 3 units down (from top figure)
The answer is clearly c or b

The prime factor tree for 6 is shown
below.
Complete the prime factor tree for 15 and
use it to help you find the lowest common
multiple (LCM) of 6 and 15.
2
6
3
15

Answers

Answer: 3

Step-by-step explanation:

6 - 2, 3

15- 3, 5

x>-4
except the greater than symbol has a line under. Graph each inequality and write the solution set using both set-builder notation and interval notation.

Answers

The solution set of the inequality x ≥ - 4 using set builder notation and interval notation is {x | x ∈ Z, - 4 ≤ x ≤ ∞ } and [ - 4, ∞ ) respectively.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.

A set can be represented by its elements or the properties that each of its members must meet can be described using set-builder notation.

Interval Notation: A set of real numbers known as an interval contains all real numbers that fall inside any two of the set's numbers.

Consider the inequality,

x ≥ - 4

In the number line, the value of x is equal to and greater than - 4 increasing to infinity.

Therefore,

The solution set using the set builder notation is:

{x | x ∈ Z, - 4 ≤ x ≤ ∞ }

The solution set of the inequality using the interval notation is:

[ - 4, ∞ )

Learn more about set builder notation here:

brainly.com/question/13420868

#SPJ1

Calculate rates (backwards)
If pipe costs $30, at $6 / m, how many metres would you get?

Answers

Answer:

5 m

Step-by-step explanation:

$30 divided by $6 a m

30/6=5 m

I need some help... I am very confused.

Answers

The base of the triangle shown is 12 millimeters

What is an equation?

An equation is an expression that can be used to show the relationship between numbers and variables.

Given that:

A is the area of the triangleb is the base of the triangleh is the height

b = 2A/h

For the triangle, A = 36 mm², h = 6 mm

Substituting:

b = 2(36)/6

Simplifying gives:

b = 12 mm

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The unit cost, in dollars, to produce bins of cat food is $18 and the fixed cost is $30000. The price-demandfunction, in dollars per bin, is p(x) = 568 - 2xFind the cost function.C(x) =Find the revenue function.R(x) = Find the profit function.P(x) = 568 – 2xAt what quantity is the smallest break-even point?

Answers

The smallest breakeven point attains at 75.

A formula or equation that describes the behavior of specific sources of income when it is plotted on a graph is called a revenue function.

The cost function calculates the lowest cost of producing a specific level of output at some fixed factor prices.

A relationship that demonstrates the difference that results from subtracting the cost function from the revenue function is called a profit function.

Here, the Price/Demand Function is presented as

P(x) = 568 - 2x

Which means that when there is a demand for x units of cat food, the price will be set at 568 - x for each unit.

Let's now consider the revenue resulting from this demand, or x units.

Revenue = Demand * Price per unit

R(x) = x * (568-2x)

= 568x – 〖2x〗^2

Now let us Evaluate the Cost Function

Cost = Variable cost + Fixed Cost

Variable cost = cost per unit * number of units

= 18*x

= 318

Fixed Cost = 30000 as given in the problem.

Hence

Cost Function C(x) = 18x + 30000

Now let’s find the Profit Function

Profit = Revenue - Cost

P(x) = R(x) - C(x)

568x - 〖2x〗^2 – (18x + 30000)

568x -〖 2x〗^2 – 18x + 30000

-〖 2x〗^2 + 550x - 30000

Finding the quantity at which we reach break-even point is the next step.

At break-even point, we understand this Profit = 0

Hence P(x) = 0

-〖 2x〗^2 - 550x + 30000 = 0

Dividing both sides by -2 we get

X2 – 275x + 15000 = 0

Now we have to find the factors of 15000 whose sum is 275.

Now we have to solve the above quadratic equation using splitting the middle term method.

X2 – 275x + 15000 = 0

X2 – 200x - 75x + 15000 =0

X(x-200) - 75 (x-200) = 0

(x-75) (x-200) = 0

Either (x - 75) = 0 or (x-200) = 0, therefore

(x-75) = 0 = x =75

(x-200) = 0 x =200

Smallest of which is 75.

As a result, 75 units are required to reach the break-even point.

To learn more about Revenue, Cost & Profit Function visit

https://brainly.com/question/10950598

#SPJ9

Identify the reason that would be used to justify step 2 in the proof below.


Converse of the Consecutive Interior Angle Theorem
Corresponding Angles Postulate
Alternate Exterior Angle Theorem
Vertical Angles Theorem​

Answers

The reason that would be used to justify step 2 in the proof below is: Corresponding Angles Postulate (Option B).

What is A corresponding Angle Postulate?

Congruence and likeness tests in geometry require comparing corresponding sides and angles of polygons. In these tests, each side and angle of one polygon are matched with a side or angle of the second polygon, with care taken to maintain the order of adjacency.

A mathematical proof is an inductive explanation for a mathematical assertion that demonstrates that the provided assumptions logically ensure the conclusion.

There are several methods for demonstrating anything. There are three of them:

direct proof, proof by contradiction, and proof by induction. We'll go through each of these proofs and when and how they're utilized.

Learn more about Corresponding Angles:
https://brainly.com/question/11853802
#SPJ1

- 1/4 x (- 4/3) as a fracction

Answers

Answer: the answer is x/3

Step-by-step explanation:

i need help with the first question in this picture

Answers

[tex]\begin{gathered} sales\text{ price before }Tax\text{ = \$674.25} \\ \text{Tax = \$}54.78 \\ \text{Sales price with tax = \$729.03} \end{gathered}[/tex]

Explanation:

Initial price of the TV = $899

discount in % = 25 % = 0.25

First, we will find the amount discounted:

[tex]\begin{gathered} Amount\text{ discounted = }25\text{ \% }\times\text{ 899} \\ Amount\text{ discounted = }0.25\text{ }\times\text{ 899} \\ Amount\text{ discounted = \$224.75} \end{gathered}[/tex]

sales price after the discount was removed:

[tex]\begin{gathered} sales\text{ price = }initial\text{ price - amount discounted} \\ sales\text{ price = 899 - 224.75} \\ sales\text{ price before }Tax\text{ = \$674.25} \end{gathered}[/tex][tex]\begin{gathered} \text{Sales tax = 8.125 \% = 0.08125} \\ \text{Tax = sales price before tax }\times\text{ sales tax} \\ \text{Tax = 674.25 }\times\text{ 0.08125} \\ \text{Tax = \$}54.78 \end{gathered}[/tex][tex]\begin{gathered} \text{Sales price with tax = sales price before tax + Tax} \\ \text{Sales price with tax = 674.25 + 54.78} \\ \text{Sales price with tax = \$729.03} \end{gathered}[/tex]

Please help me solve this algebra problem on my homework

Answers

We need to determine a few characteristics of the following linear equation:

[tex]y-5=-\frac{1}{2}(x-2)[/tex]

The first step we need to take is to isolate the "y" variable on the left side.

[tex]\begin{gathered} y=\frac{-1}{2}(x-2)+5 \\ y=\frac{-1}{2}\cdot x+1+5 \\ y=\frac{-1}{2}\cdot x+6 \end{gathered}[/tex]

Now we need to analyze this function and provide the necessary characteristics.

First is the Domain. The Domain of a function is the group of all numbers that can be used as an input (x), in this case the Domain is the whole Real group.

Second is the Range, which is the group of numbers that can be the output of the function (y), for this case we also have the whole Real group as Range.

Then we need to find the "Zero". Which is the value at which the function crosses the x-axis, to calculate it we must make "y=0" and solve for x.

[tex]\begin{gathered} 0=\frac{-x}{2}+6 \\ \frac{x}{2}=6 \\ x=12 \end{gathered}[/tex]

The zero is equal to 12.

The slope of the function is the number multiplying "x", in this case it is -1/2.

The slope is negative, decrescent.

To find the value of f(8), we need to replace x by 8 and solve for y.

[tex]\begin{gathered} f(8)=\frac{-8}{2}+6 \\ f(8)=-4+6=2 \end{gathered}[/tex]

The value of f(8) = 2.

To determine the value of x where f(x) is equal to 5, we need to replace f(x) by 5 and solve for x.

[tex]\begin{gathered} 5=\frac{-x}{2}+6 \\ \frac{-x}{2}=5-6 \\ \frac{-x}{2}=-1 \\ -x=-2 \\ x=2 \end{gathered}[/tex]

The value of x for which f(x) is equal to 5, is 2.

Now we need to graph the equation, for that we have to use two of the points we found before, we will use (8, 2) and (2,5). We need to mark these points at the coordinate plane and draw a line between them:

Carla has already written 10 pages of a novel. She plans to write 15 additional pages per month until she is finished. Write and solve a linear equation to find the total number of pages written at 5 months.
(show as much details upon answering)

Answers

Answer:

linear equations;15m+10=w

15 pages written for every month for 5 months plus the 10 pages she has already written is equal to the total number of pages written in 5 months m=number months written in this case it is 5 months.

w=number of pages written in 5 months 15(5)+10=w

75+10=w

85 Pages written=w

will have written 85 Pages in 5 months

Use the following variables for #'s

(3-5):

f= -6 g= 7 h=9


4) 5-f

Answers

The value of the expression 5 - f is 11.

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

A variable is a symbol and placeholder for any mathematical object. In particular, a variable may represent a vector, a number, a function, a matrix, the argument of a function, a set, or an element of a set.

We have the value of the following variables,

f = - 6,

g = 7 and,

h = 9

Now consider the expression 5 - f,

Substituting the value of f in the expression we get,

5 - f = 5 - ( - 6 )

5 - f = 5 + 6

5 - f = 11

Therefore, the value of 5 - f is 11.

Learn more about expression here:

https://brainly.com/question/1859113

#SPJ1

Wendy has a negative balance in her checking account. Her balance is -$13.

If Wendy deposits $60, then buys 4 notebooks for 2 dollars each, how much money would Wendy have in her account after the purchases?

Answers

she’d have $39 left in her account

Classify the TriangleThe answer choices are : equilateral, scalene or isosceles

Answers

The three sides and three angles of the given triangle are given to be equal.

An equilateral triangle has three sides of equal length and three equal angles.

So, the given triangle is equilateral.

33 percent of 300
And 24 percent of 300 PLSS

Answers

the first one is 99 and the second one is 72

Hope this helped

Answer:

33% of 300 is about 99, and 24% of 300 is about 72

Step-by-step explanation:

Hope this helps.

Cheyenne is playing a board game. Her score was −175 at the start of her turn, and at the end of her turn her score was −325. What was the change in Cheyenne’s score from the start of her turn to the end of her turn? How did you determine your answer?

Enter the correct answers in the boxes.

points

I subtracted
from
.

Answers

Answer: -150

Step-by-step explanation:

To find the change in the score we need to find the difference between the two scores. To do this easily, we can add 175 to -325.

-325 + 175 = -150

By doing this we get the difference and the answer to the question.

Answer: -150

Step-by-step explanation: I subtracted from -325.

A 25-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 15 feet from the base of the building. How far above the ground is the point where the ladder touches the building? 

Answers

Let us use a diagram to demonstrate the event .

From the diagram we are asked to find the value h. The value h can be found using pythagora's theorem.

[tex]\begin{gathered} h^2=25^2-15^2 \\ h^2=625-225 \\ h^2=400 \\ \text{square root both sides} \\ h=\sqrt[]{400} \\ h=20\text{ ft} \end{gathered}[/tex]

Solve with substitution method: 3x+5y=10 and 9y+3x=15

Answers

The value of x and y using the substitution method are 5/4 and 5/4.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Two equations:

3x + 5y = 10 _____(1)

9y + 3x = 15 ______(2)

From (1) we get,

3x = 10 - 5y

x = (10 - 5y) / 3 ______(3)

Putting (3) in (2) we get,

9y + 3 x [(10 - 5y) / 3] = 15

9y + 10 - 5y = 15

4y = 15 - 10

4y = 5

y = 5/4

Putting y = 5/4 in (3) we get,

x = (10 - 5 x 5/4) / 3

x = (10 - 25/4) / 3

x = (40 - 25) / (4 x 3)

x = 15 / 12

x = 3x5 / 3x4

x = 5/4

Thus,

The value of x and y using the substitution method are 5/4 and 5/4.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

4 × logx -(2 × logv + 3 × logy)

Answers

Simplifying the given logarithmic equation, the expression is obtained as log([tex]\frac{x^{4} }{v^{2} y^{3} }[/tex]).

The objective is to find the resultant expression for 4 × logx -(2 × logv + 3 × logy)

According to logarithmic results,

The product of an integer constant and a logarithm term of a number is equivalent to the logarithm of the number raised to the power of the particular integer constant.

That is, b × log(a) = log([tex]a^{b}[/tex])

Hence, 4 × log(x) = log([tex]x^{4}[/tex]),

2 × log(v) = log([tex]v^{2}[/tex])

and, 3 × log(y) = log([tex]y^{3}[/tex])

So, the equation can be rewritten as log([tex]x^{4}[/tex]) - (log([tex]v^{2}[/tex]) +  log([tex]y^{3}[/tex]))

The sum of the logarithms of two numbers is equivalent to the logarithm of their product.

That is, log(a) + log(b) = log(a×b)

Hence, log([tex]v^{2}[/tex]) +  log([tex]y^{3}[/tex]) = log([tex]v^{2}[/tex][tex]y^{3}[/tex])

So, the equation can be rewritten as log([tex]x^{4}[/tex]) - log([tex]v^{2}[/tex][tex]y^{3}[/tex])

The difference in the logarithms of two numbers is equivalent to the logarithm of their fraction.

That is, log(a) - log(b) = log(a÷b)

Hence, log([tex]x^{4}[/tex]) - log([tex]v^{2}[/tex][tex]y^{3}[/tex]) = log([tex]\frac{x^{4} }{v^{2} y^{3} }[/tex])

Learn more about the linear equation at

https://brainly.com/question/16504886?referrer=searchResults

#SPJ1

Samuel wants to save enough money to buy a new couch, but isn’t sure which bank’s savings account he should sign up for. Wells Fargo has a yearly interest rate of 6%. Chase has an interest rate of 0.5% compounded monthly. If Samuel deposits $3000 at the beginning of the year and makes no additional deposits or withdrawals, which bank would have the higher balance after one year?

Answers

wells Fargo would have a higher balance after one year

Step-by-step explanation:

wells Fargo would have a higher balance after one year

When you write the equivalent algebraic expression f8 for f² f6, why do you add the exponents?

Answers

The equivalent algebraic expression f⁸ for f² f⁶ is because product of power law states to add the exponents.

What is algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).

Algebraic expression types:

Number ExpressionExpression of a BinomialExpression of a Polynomial

let,

RHS = f² f⁶

RHS = f²⁺⁶

RHS = f⁸ = LHS

To know more about algebraic expression please visit:

https://brainly.com/question/953809

#SPJ13

The scatter plot shows the number of roses (x) and daisies (y) a florist sold at a flower
show. How many roses did the florist who sold 125 daisies sell?

100
200
80
170

Answers

The number of roses that the florist sold who sold 125 daisies is; 200

How to Interpret Scatter Plots?

Scatter plots are the graphs that present the relationship between two variables in a data-set.

From the given scatter plots, we see that the x and y axes are marked in intervals of 50 like 0, 50, 100, 150, 200,...e.t.c

Now, from the scatter plot, we see a couple of coordinates and we are told that the x-axis shows the number of roses sold at a flower show while the y-axis shows the number of daises sold at the flower show.

Now, from the scatter plot, we see that when the number of daises sold is 125, we can trace that the number of roses sold was 200 roses.

Read more about Scatter Plots at; https://brainly.com/question/6592115

#SPJ1

Two angles form a linear pair. The measure of one angle is z and the measure of the other angle is 2.4 times z plus 10°. Find the measure of each angle.

Answers

Two angles form a linear pair.

so, the sum of the angles are 180

the measure of the angles are z and (2.4 * z + 10)

so,

z + (2.4 * z + 10) = 180

solve for z

so,

z + 2.4 * z + 10 = 180

3.4 z = 180 - 10

3.4 * z = 170

divide both sides by 3.4

so, z = 170/3.4 = 50

so, the angles are 50 and 130

6.
Select all the conditions for which it is possible to construct a triangle.
A. A triangle with angle measures 60 degrees, 80 degrees, and 40 degrees
B. A triangle with side lengths 4 cm, 5 cm, and 9 cm
C. A triangle with side lengths 4 cm, 4 cm, and 7 cm
D. A triangle with side lengths 5 cm and 12 cm and a 90 degree angle.
E. A triangle with 2 right angles.
Help idmeadiitly

Answers

Answer= a and e
Both add up to 180 degrees
60+40+80=180
Right angles equal 90 so since their are 2 it would equal 180

He following cards are dealt to three people at random, so that everyone gets the same number of cards. what is the probability that everyone gets a red card?

Answers

The probability that everyone will get a red card is 0.5.

What probability exactly is?Probability is a branch of mathematics that deals with numerical representations of the probability that an event will happen or that a statement is true.The probability of an event is a number between 0 and 1, with 0 roughly denoting impossibility and 1 denoting certainty.The probability is the likelihood that something will happen, to put it simply.The likelihood or likelihood of various outcomes can be discussed when we don't know how an event will turn out.The study of events that fit into a probability distribution is known as statistics.

So, the probability that everyone gets a red card:

Probability formula: P(E) = Favourable events/Total number of eventsAs cards are distributed to 3 people, divide both favorable events and total events by 3.

Then,

P(E) = Favourable events/Total number of eventsP(E) = (26/3)/(52/3)P(E) = 26/3 × 3/52P(E) = 26/52P(E) = 0.5

Therefore, the probability that everyone will get a red card is 0.5.

Know more about probability here:

brainly.com/question/25870256

#SPJ13

Quadrilateral PQRS is dilated by a scale factor of to
form quadrilateral P'Q'R'S'. What is the measure of side
QR?

Answers

Answer: 24 units

Step-by-step explanation:

If you are multiplying a shape by a scale factor, the dimensions are also multiplied by the scale factor.

QR= x

Q'R'= (1/2)(X)

12=(1/2)(X)

(2)12= 1/2x(2)

24=X

If you're multiplying QR by 1/2 you would get 12. 12 is a half of QR. Therefore, QR is 24.

kelly sold 35 books at £1.40 each. 28 bracelets at £1.50 each. some badges at 80p each. She got a total of £115. Work out how many badges Kelly sold

Answers

Answer:

the answer is 30 !! :)

Step-by-step explanation:

115-(35*1.40)-(28*1.50)= 24

24/.8 = 30

y = 2x - 3
I need to find the y-int and the slope for the graph

Answers

Answer:

y-int = (0,-3)

slope = 2

Step-by-step explanation:

The slope is found by the number before x. If its just x then the slope is 1. The y-int is found by the number all the way at the end. In this case its -3. So the y-int is (0,-3)

Answer:

Step-by-step explanation:

y

=

2

x

+

3

The slope-intercept form is

y

=

m

x

+

b

, where

m

is the slope and

b

is the y-intercept.

y

=

m

x

+

b

Find the values of

m

and

b

using the form

y

=

m

x

+

b

.

m

=

2

b

=

3

The slope of the line is the value of

m

, and the y-intercept is the value of

b

.

Slope:

2

y-intercept:

(

0

,

3

)

Select the correct answer.
Which expression is equivalent to 2x² . √16x, if x>0?

Answers

The expression is equivalent to option A, 8x[tex]\sqrt[6]{x}[/tex].

Option A is correct

How do expressions work?

Variables, constants, and mathematical operators make up an expression, which is a mathematical statement.

How can one locate equivalent expressions?

Add any like terms together, combining x-terms with x-terms and constants with constants, on either side of the equation. The x-term is typically put before constants when arranging the terms in the same sequence. It is said that two expressions are equivalent if every phrase in them is the same.

The expression is 2[tex]\sqrt[3]{x^2}[/tex]

The expression can be simplified as

= 2.4[tex]x^{2/3}[/tex][tex]x^{1/2}[/tex]

= 8[tex]x^{7/6}[/tex]

= 8x[tex]x^{1/6}[/tex]

= 8x[tex]\sqrt[6]{x}[/tex]

To know more about equivalent expressions visit:-

https://brainly.com/question/28170201

#SPJ13

To solve 1-variable equations and inequalities, we use additive inverses and/or multiplicative inverses to isolate the variable.

Options:
True
False

The multiplicative inverse of 0.1

Options:

1/10


-10


10


-0.1


The multiplicative inverse of 2/6 is 3.

Options:
True
False


The additive inverse of 80.

Options:

80


1/80


-80


8


The multiplicative inverse of 13.

Options:

-13


0.13


1/13


13/1


1 of 5 questions saved

Answers

Answer:

false 1/10 false 80 13/1

Other Questions
A graphic designer charges an hourly rate. In July, the only expense is for advertising. The function graphed models the designer's net income, y, for July for x hours of work.Select True or False to describe each statement.True FalseThe x-intercept represents the amount the designer charges for 1 h of work. True The , x, -intercept represents the amount the designer charges for 1 h of work.False The , x, -intercept represents the amount the designer charges for 1 h of work.The difference between 0 and the y-intercept represents the amount the designer spent on advertising. True The difference between 0 and the , y, -intercept represents the amount the designer spent on advertising.False The difference between 0 and the , y, -intercept represents the amount the designer spent on advertising.The slope represents the designer's hourly rate. True The slope represents the designer's hourly rate.False The slope represents the designer's hourly rate.Graph of a line on a coordinate plane. The graph titled Net Income for July. The horizontal axis is labeled Time Worked (h) and vertical axis is labeled Net Income (S). The horizontal x axis ranges from 0 to 18 in increments of 2. The vertical y axis ranges from negative 400 to 400 in increments of 100. A line passes through the coordinate points begin ordered pair 0 comma negative 300 end ordered pair and begin ordered pair 6 comma 0 end ordered pair Think about the jack and blake example. If you were blake, what would your reaction be and what would you have done differently?. What is the equation of the line that passes through the point (-6,5) and has a slope of -\frac{1}{6}?HELP First one to help me Ill make u brainliest 46. Body cells are called while reproductive cells are known ascells,cells. 7. Which of these drugs, which acts as both a stimulant andcan also cause dangerous dehydration?a hallucinogen,a. LSDb. Ecstasyc. Alcohold. Cocainee. Caffeine no solution one solution infinitely many solutions 3x + 7 = 14 + 3x 22x + 11 = 4x - 7 3(x + 2) = 3x + 6 How much work is done by a crane that lowers a 500.0 newtons of material a distance of 250.0 meters? The electric forces are _______ between particles like two positively charged particles. hi, I nee help with this, I don't know if my answer is correct! it would be helpful if you told me which one it is and than do your explaination if that's possible, it's just more convenient for me! PromptRead Changes on Earth and Changes in Life. Explain how changes in Earth's systems affect the growth of life on Earth. Useevidence from the text to support your answer. What is the definition of business revenue?O Money collected through product salesO Money a firm must pay for productionO Taxes a firm must pay to the governmentO Taxes collected by the government after falling from rest from a height of m, a -kg ball rebounds upward, reaching a height of m. if the contact between ball and ground lasted ms, what average force was exerted on the ball? V is the midpoint of UW. If UV = 2x and VW = x + 8,what is UV?Please explain and show work I need help with questions 5 and 6 the one with the graph? sam doesn't agree that endgame is the best movie of the year, but his friends love it. when they ask him whether he agrees that endgame is the best movie of the year, he says it definitely is. what type of persuasion is this? how did britians victory in the french and indian war affect its colonial holdings in north america the purpose of the family educational rights and privacy act (ferpa) is to: stress is considered a good stress when Simplify 5(5+20) Why didnt the united states respond to the depression like argentina, with a military dictatorship, or like germany, italy, and japan, with fascism and militarism, or like russia, by embracing a government-run planned economy, even though the economy fell steeper and the depression lasted longer in the united states?.