Answer:The error in #1 is that it should read "3x²•(-2x⁴)=3•(-2)•x²⁴=6x⁸". The error in #2 is that it should read "4a²•3a⁵=4•a²•3•a⁵=12a⁷". The error in #3 is that it should read "x⁶•x³=x⁶•x³=x⁹". The error in #4 is that it should read "3⁴•2³=3⁴•2³=24".
Step-by-step explanation:
easy
a drawer contains 6 red so cks, 4 green so cks, and 2 black so cks. two so cks are chosen at random. what is the probability that they match?
Answer: 2/12 (1/6 simplified) I think I don’t know I didn’t think much about it
Step-by-step explanation:
HELPP please
Find the length of the unknown side of the triangle.
10 ft
5 ft
The length of the unknown side of the triangle is
(Simplify your answer. Type an exact answer, using radicals as needed.)
Answer: [tex]5\sqrt{5} \ \text{ feet}[/tex]
Work Shown:
[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{5^2+10^2}\\\\c = \sqrt{125}\\\\c = \sqrt{25*5}\\\\c = \sqrt{25}*\sqrt{5}\\\\c = 5\sqrt{5}\\\\[/tex]
For more information, search out "pythagorean theorem".
dave wants to buy a new collar for each of his 5 cats. the collars come in a choice of 9 different colors. step 1 of 2 : how many selections of collars for the 5 cats are possible if repetitions of colors are allowed?
If repetitions of colors are allowed, there are 59,049 possible selections of collars for the 5 cats.
If Dave can choose from 9 different colors for each of his 5 cats, then he has 9 choices for the first cat, 9 for the second cat, and so on. To find the total number of possible selections, we can multiply the number of choices for each cat together:
9 x 9 x 9 x 9 x 9 = 59,049
In this case, there are 9 ways to choose the collar color for the first cat. Since Dave can choose from the same 9 colors for each of the 5 cats, so he has 9 choices for each cat. Therefore, by the principle of counting, the total number of ways to choose collars for all 5 cats is:
Therefore, if repetitions of colors are allowed, there are 59,049 possible selections of collars for the 5 cats.
To learn more about principle of counting, visit here
https://brainly.com/question/29079509
#SPJ4
a force of 192 lb is required to hold a spring stretched 3 ft beyond its natural length. how much work w is done in stretching it from its natural length to 9 inches beyond its natural length?
The work required to stretch the spring from its natural length to a distance of 9 inches beyond its natural length is 2.25 lb-ft.
The problem involves calculating the work required to stretch a spring from its natural length to a distance of 9 inches beyond its natural length, given that a force of 192 lb is required to hold the spring stretched 3 ft beyond its natural length.
To solve the problem, we use the formula for the work done by a force that varies with distance, which is given by:
W = (1/2) k (x2^2 - x1^2)
where W is the work done, k is the spring constant, x1 is the initial distance, and x2 is the final distance.
In this case, the initial distance is the natural length of the spring, which is 0 ft, and the final distance is 9/12 ft. To find the spring constant, we use the fact that a force of 192 lb is required to hold the spring stretched 3 ft beyond its natural length, which gives us:
192 = k * 3
Solving for k, we get k = 64 lb/ft.
Substituting the values into the formula, we get:
W = (1/2) * 64 * (9/12)^2
Simplifying, we get:
W = 2.25 lb-ft
This calculation shows how the work done by a force that varies with distance can be calculated using the spring constant and the distances involved.
To learn more about work click on,
https://brainly.com/question/21433254
#SPJ4
There are total of 452 cows and goats in a farm. 5/7 of
the cows are equal to 13/27 of the goats in the farm.
Find the total number of legs of cows.
The total number of cows is given by the equation c = 182 cows and the total number of legs of cows is n = 728 legs
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The total number of cows and goats = 452
So , c + g = 452 be equation (1)
And , ( 5/7 )c = ( 13/27 )g
On simplifying the equation , we get
c = ( 13 x 7 ) / ( 5 x 27 ) g
c = ( 91/135 )g be equation (2)
Substituting the value of c in equation (1) , we get
( 91 / 135 ) g + g = 452
On further simplification , we get
( 91 + 135 ) / 135 g = 452
( 226 / 135 ) g = 452
Divide by 226 on both sides of the equation , we get
( 1/135 )g = 2
Multiply by 135 on both sides of the equation , we get
g = 270 goats
Now , the number of cows = 452 - 270 = 182 cows
The number of legs = 182 x 4 = 728 legs
Hence , the number of cows is 182 cows
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ9
My parents give me an allowance of $60 every month. To earn some extra money I get a job. I make $7.50 an hour at this job. In order to have a social life and hang out with my friends, I am going to need at least $260 every month.
What is the APPROXIMATE minimum amount of hours I will have to work to accomplish my goal? (HINT: use whole numbers for your answer)
I would need to work at least 27 hours to make enough money to reach my goal.
What are arithmatic operations?
Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.
Let's start by finding the amount of money I receive from my allowance and how much more money I need to make to reach my goal:
Allowance per month = $60
Amount of money I need for social life = $260
Additional amount of money I need to make = $260 - $60 = $200
Now, let's divide the additional amount of money I need to make by the amount I make per hour to find how many hours I need to work:
$200 ÷ $7.50 per hour = 26.67 hours
Since we can't work a fraction of an hour, we need to round up to the nearest whole number.
Therefore, I would need to work at least 27 hours to make enough money to reach my goal.
To learn more about the arithmatic operations visit:
https://brainly.com/question/13181427
#SPJ1
EL VOLUMEN DE UNA CAJA DE BASE CUADRADA DE LONGITUD X Y ALTUR 10
Write an equation in point-slope form for the given point and slope:
Point: (4, -6)
Slope: 2
Answer:
y = 2x -14
Step-by-step explanation:
The point-slope form is y = mx + b
m = 2
y-intercept is located at (0, -14)
So, the equation is
y = 2x - 14
Answer:
y-6=2(x-4)
Step-by-step explanation:
point-slope form y-y1=m(x-x1)
the measure of one interior angle of a parallelogram is 0.25 times the measure of another angle.
The interior angle of a parallelogram is proportional to the measure of another angle with a ratio of 0.25:1.
A parallelogram is a four-sided flat shape that has opposite sides that are parallel and equal in length. The sum of the interior angles of a parallelogram is equal to 360 degrees. If the measure of one interior angle is 0.25 times the measure of another angle, this means that there is a proportionate relationship between the two angles. To find the measure of the second angle, we can use the formula:
Angle 2 = (Angle 1) / 0.25
For example, if Angle 1 is 100 degrees, then Angle 2 is 100 / 0.25 = 400 degrees. This means that if one angle measures 100 degrees, the other angle measures 400 degrees. The sum of the two angles is 500 degrees, which is still less than the total sum of interior angles in a parallelogram, which is 360 degrees.
Learn more about parallelogram :
https://brainly.com/question/29147156
#SPJ4
a publishing industry report predicts that magazine subscriptions will drop by 10% each year if this prediction is correct then how many subscribers will a magazine with 98000 subscribers have in 10 years (round to the nearest whole number if necessary)
Rounding to the nearest whole number, the magazine will have 34638 subscribers in 10 years.
What is whole number?
A whole number is a positive integer that doesn't include any fractional or decimal component. Whole numbers include positive integers such as 0, 1, 2, 3, 4, and so on. Whole numbers do not include fractional numbers or decimals, such as 0.5, 1.7, and so on. Whole numbers are used to count items or represent discrete quantities, such as the number of people in a room or the number of apples in a basket.
If the prediction that magazine subscriptions will drop by 10% each year is correct, then in 10 years the number of subscribers for a magazine with 98000 subscribers will be:
98000 * (1 - 0.10)^10 = 98000 * 0.3548 = 34638 subscribers
So, rounding to the nearest whole number, the magazine will have 34638 subscribers in 10 years.
Learn more about whole number click here:
https://brainly.com/question/461046
#SPJ1
HELP PLS! ITS DUE IN 30 MIN!!!!!!!
The altitude of an airplane coming in for a landing is represented by the equation shown below, where y represents the altitude, in feet, of the airplane and x represents the number of minutes the plane has been descending:
y = -10x + 300
Part A:
Create a table for the values when x = 0, 5, 8, 10, 30.
Include worked-out equations used to identify the values within the table.
Part B:
Identify the altitude after 5 minutes and after 30 minutes. Use 1-2 sentences to explain the altitude at these two times and describe what is happening to the airplane at these time intervals.
The altitude of an airplane coming in for a landing is represented by the equation shown below, where y represents the altitude, in feet, of the airplane and x represents the number of minutes the plane has been descending:
y = -10x + 300
Part A:
Create a table for the values when x = 0, 5, 8, 10, 30.
Include worked-out equations used to identify the values within the table.
Part B:
Identify the altitude after 5 minutes and after 30 minutes. Use 1-2 sentences to explain the altitude at these two times and describe what is happening to the airplane at these time intervals.
Using the given linear equation, we found the altitude of the plane at different time periods and the altitude of airplane at 5 and 30 minutes is found to be 250 feet and 0 feet respectively.
What is a linear equation?
A linear equation is one that has the highest degree of 1 possible. This indicates that there are no variables in a linear equation with exponents greater than 1. A linear equation's graph almost always takes the shape of a straight line.
The linear equation which shows the altitude of an airplane is as follows,
y = -10x + 300
where y = altitude (in feet)
x = time of descend ( minutes)
a) when x = 0
y = 300 feet
when x = 5 minutes
y = -10 * 5 + 300 = 250 feet
when x = 8 minutes
y = -10 * 8 + 300 = 220 feet
when x = 10 minutes
y = -10 * 10 + 300 = 200 feet
when x = 30 minutes
y = -10 * 30 + 300 = 0 feet.
the table is as follows:
x (minutes) 0 5 8 10 30
y(feet) 300 250 220 200 0
b) From the above table, we can see that at 5 minutes the altitude is 250 feet and at 30 minutes, the altitude is 0 feet. There is a decrease in altitude, which suggests the plane is descending and finally landed when the time was 30 minutes.
Therefore using the given linear equation, we found the altitude of the plane at different time periods and discussed the altitude of airplane at 5 and 30 minutes.
To learn more about linear equations, follow the link.
https://brainly.com/question/28732353
#SPJ1
c) In the following figure, AE = 8 cm, BE =3 cm and CE = 4 cm. Find the length of DE .
Answer:
DE = 6 cm
Step-by-step explanation:
The concept behind this question is the Chord-Chord Power Theorem. This product states that "if two chords intersect in a circle, then the products of the lengths of the chords segments are equal". In this case:
CE × DE = AE × BE
4 × DE = 8 × 3
4 × DE = 24
DE = 6 cm
Hope this helps!
What is the common ratio of the geometric sequence shown? -2,4,-8,16,. . .
Answer:
-2,-4,-8,-16
common ratio of geometric sequence shown is -2
this sequence is in the decreasing form.
the next number in this sequence is -32
I hope that helps.
Which set of steps shows how to find f(-3) when f(c)=-4x-5?
Answer:
7
Step-by-step explanation:
f(-3)
f(x) = -4x-5
f(-3) = -4(-3) - 5
f(-3) = 12 - 5
f(-3) = 7
An equilateral triangle with side length 3 cm is shown in the diagram, work out the height of the triangle.
Give your answer rounded to 1 DP.
Answer:
The height of an equilateral triangle can be found using the Pythagorean theorem by treating it as a 30-60-90 triangle. In a 30-60-90 triangle, the ratio of the side lengths is 1:√3:2. In this case, the side length of 3 cm is the shorter leg, so the height (the longer leg) is 3√3 cm. Rounding to 1 decimal place, the height is approximately 5.1 cm.
a certain country's factory sales of electronic goods to dealers from 1990 through 2001 can be modeled as
The factory sales of electronic goods from a certain country to dealers from 1990 to 2001 can be modeled using a mathematical equation .
Modeling factory sales of electronic goods from a certain country to dealers from 1990 to 2001 involves creating a mathematical equation to represent the data . To begin, one must collect the data from the sales of electronic goods from the given country to dealers from 1990 to 2001. This data should include the total amount sold for each year. Once the data is collected it must be organized into a visual representation, such as a line graph or a scatter plot. The visual representation should then be examined for patterns in the data which can be used to create a mathematical equation. This equation should be able to accurately describe the data and be able to predict future data points. The equation should then be tested to ensure accuracy before it is used to model the factory sales data.
Learn more about equation here
https://brainly.com/question/29514785
#SPJ4
magic the gathering is a popular card game. cards can be land cards, or other cards. we consider a game with two players. each player has a deck of 40 cards. each player shuffles their deck, then deals seven cards, called their hand. (a) assume that player one has 10 land cards in their deck and player two has 20. with what probability will each player have four lands in their hand? (b) assume that player one has 10 land cards in their deck and player two has 20.with what probability will player one have two lands and player two have three lands in hand? (c) assume that player one has 10 land cards in their deck and player two has 20. with what probability will player two have more lands in hand than player one?
Probability the player two have more lands in hand than player one is:
A) 0.0135
B) 0.102
What is probability?
The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.
Here, we have
Given: each player has a deck of 40 cards. each player shuffles their deck, then deals seven cards, called their hand.
A ) probability of each player having four lands in their hand
Given data:
player 1 has 10 land cards
player two(2) having 20 land cards
Hence, the probability can be calculated as
= 0.0135
B) probability of player one having two lands and player two having three lands in hand
Given data:
player one (1) has 10 land cards
player two has 20
Hence, the probability of player one having two lands and player two having three lands in hand can be calculated as attached below
= 0.102
To learn more about the probability from the given link
https://brainly.com/question/24756209
#SPJ1
A mathematics teacher wanted to see the correlation between test scores and
homework. The homework grade (x) and test grade (y) are given in the
accompanying table. Write the linear regression equation that represents this
set of data, rounding all coefficients to the nearest tenth. Using this equation,
estimate the homework grade, to the nearest integer, for a student with a test
grade of 31.
Homework Grade (x) Test Grade (y)
The regression equation is y = x - 10.4
Homework grade (x) = 41
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
From the table,
We have ∑X = 488, ∑Y =439, ∑XY = 31458, ∑X² = 34834, n=7
Standard linear equation is y= a+bx
a= [ ∑Y × ∑X² - ∑X × ∑XY ]/ [ n × ∑X² - ( ∑X)² ]
On substituting and simplifying , we get a= -10.4
b= [ n × ∑XY - ∑X × ∑Y ] / [ n × ∑X² - ( ∑X)² ]
On substituting and simplifying , we get b ≈ 1
The regression equation is y = x - 10.4
Given test grade y=31
We have 31=x-10.4 => x= 41.4
Nearest integer is 41
Homework grade (x) = 41
To learn more about the equation from the given link
https://brainly.com/question/28218072
#SPJ1
Amy ray Kim and jammel are on a Trivia team. They gained for correct answers and lose points for incorrect answers. During the contest, Amy gains 3 point, ray loses 4 point, Kim loses 2 points, and jammel gains 5 points. How many points does a team have at the end of the contest?
Answer:
2
Step-by-step explanation:
Amy +3
Ray -4
Kim -2
Jammel +5
So,
3 - 4 - 2 +5 = ?
Answer is 2 points.
What is meant by the present value of money?
A. The sum of the deposit and the simple interest
B. The amount borrowed or deposited
C. The difference between the future value and
D. The maximum amount of money that can be deposited
Answer: The amount borrowed or deposited
Step-by-step explanation:
there isn't really an explanation, I just know the answer because I took a test with the exact same question and answer
Option C is correct, The difference between the future value and the amount of interest earned is the present value of money
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The present value of money refers to the value of a future amount of money in today's dollars, based on a certain interest rate or discount rate.
It is the amount of money that would need to be invested today, at a given rate, to equal the future amount.
To calculate the present value of a future amount of money, we need to discount the future amount based on the interest rate or discount rate, which accounts for the time value of money
The difference between the future value and the amount of interest earned.
Hence, option C is correct, the difference between the future value and the amount of interest earned is the present value of money
To learn more on Percentage click:
https://brainly.com/question/24159063
#SPJ2
find the lower quartile and the upper quartile of the data set
Answer:
Lower Quartile = 13 min; Upper Quartile = 27 min
Step-by-step explanation:
Since we have the median, we now separate the data equally to the left and right of the median.
Thus, on the left (lower) portion we have 10, 11, 13, 18, and 19. We see 13 is the middle term of these 5 values so 13 is the lower quartile (Q1).
Similarly, one the right (upper) portion, we have 22, 25, 27, 30, and 32. We see 27 is the middle term of these 5 values so 27 is the upper quartile (Q3)
Greta has two pet lizards, Draco and Lizzy. For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets. Last week, Greta fed Draco 77 crickets.
Greta feeds Lizzy 56 crickets when she feeds Draco 77.
What do you understand by Proportion?Proportion, in general is referred to as a part, share or number considered in comparative relation to a whole.
According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.
The ratio is a way of comparing two quantities of the same kind by using division. The ratio formula for two numbers a and b is given by a: b or a/b
Given:
For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets.
Let solve it by an equality
[tex]\frac{11}{8} = \frac{77}{x}[/tex]
We want to solve for x.
We can do so by finding how much larger the second fraction is than the first.
In this case, 77 is 7 times larger than 11.(77/11 = 7)
So, we know that x must be 7 times larger then 8( because the fractions are proportinal)
Since x is 7 times larger than 8, we can use 7 times 8 to find the value.
7 times 8 i s56
56 crickets for Lizzy.
To know more about Equality visit:
brainly.com/question/9070018
#SPJ1
x is 7 times larger than 8, we can use 7 times 8 to find the value, 7 times 8 is 56. Greta feeds Lizzy 56 crickets while she feeds Draco 77.
What is the Proportion?
Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole.
According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.
The ratio is a way of comparing two quantities of the same kind by using division. The ratio formula for two numbers a and b is given by a: b or a/b
Given:
For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets.
Let solve it with an equality
11/8 = 77/x
We want to solve for x.
We can do so by finding how much larger the second fraction is than the first.
In this case, 77 is 7 times larger than 11.(77/11 = 7)
So, we know that x must be 7 times larger than 8( because the fractions are proportional)
Hence, x is 7 times larger than 8, we can use 7 times 8 to find the value.
7 times 8 is 56.
56 crickets for Lizzy.
To know more about Proportion visit:
https://brainly.com/question/1496357
#SPJ1
Combine like terms to simplify the expression:
1. 17
−
0. 07
�
+
(
−
3. 92
�
)
1. 17−0. 07a+(−3. 92a)
So the simplified expression of the expression given in the question is: 1.17 - 3.99a
To simplify the expression, we can combine the like terms, which are terms with the same variable and exponent. Starting with the first two terms: 1.17 - 0.07a. The next two terms are the opposite of each other, so we can add them: 1.17 - 0.07a + (-3.92a) = 1.17 - 0.07a - 3.92a. Finally, we can simplify the expression by combining the like terms, which are terms with the same variable: 1.17 - 0.07a - 3.92a = 1.17 - (0.07 + 3.92)a = 1.17 - 3.99a. So the simplified expression is: 1.17 - 3.99a
To learn more about variable and exponent click here
brainly.com/question/24177809
#SPJ4
Complete Question
Combine like terms to simplify the expression:
1. 17 − 0. 07 + ( − 3. 92 ) 1. 17−0. 07a+(−3. 92a)
the probability that a specific vulnerability within an organization will be attacked by a threat is known as . a. determinism b. externality c. potential
The probability that a specific vulnerability within an organization will be attacked by a threat is known as potential.
Potential refers to the likelihood that a specific vulnerability in an organization's security will be exploited by a threat actor or attacker. In the field of information security, the concept of potential is used to assess the risk associated with a particular vulnerability.
This risk assessment helps organizations to prioritize their security efforts and allocate resources where they are most needed. Determinism is a philosophical and scientific concept that refers to the idea that events are determined by prior causes, rather than by random chance.
Externality is an economic term that refers to the impact of an economic activity on parties not directly involved in the activity. For example, pollution from a factory may have externalities that affect the health and well-being of people who live near the factory.
To learn more about vulnerability click on,
https://brainly.com/question/29023407
#SPJ4
Identify the range of the function shown in the graph.
Range of the function shown by the graph is (-∞ , ∞)
What is range?Range is a statistical measurement of dispersion, or how much a given data set is stretched out from smallest to largest.
The range is the set of possible output values, which are shown on the
y -axis.
Given,
Graph of a function,
Range represents the y-coordinate of the function.
By the graph,
Range of the function is -∞ < y < ∞.
In interval notation,
Range = (-∞ , ∞)
Hence, (-∞ , ∞) is the range of the function shown by the graph.
Learn more about range here:
https://brainly.com/question/28135761
#SPJ9
The 3rd term of an arithmetic sequence is 1407 and the 10th term is 1183. Calculate the number of positive terms in the sequence.
Answer:
Let a be the first term and d be the common difference.
3rd term = 1407
a+2d = 1407 ------- 1
10th term = 1183
a+9d = 1183 ------- 2
By solving 1 and 2, a = 1471 and d = -32
so the general term T(n) = 1471 + (n-1)(-32)
= 1471 - 32n +32
= -32n + 1503
-32n + 1503 [tex]\geq[/tex] 0
-32n [tex]\geq[/tex] -1503
n [tex]\leq[/tex] 46.96875
The number of positive terms = 46
A pole leans away from the sun at an angle of 7°
to the vertical, as shown in Figure 27. When the
elevation of the sun is 55°, the pole casts a shadow
42 feet long on the level ground. How long is the
pole? Round the answer to the nearest tenth.
Using trigonometric ratio, the height of the pole is approximately 60 feet
What is angle of elevationThe angle of elevation is the angle between the horizontal and a line from the observer to a point above the horizontal. In other words, it is the angle between the ground and the line of sight to an object above the ground.
Using trigonometric ratio to solve the angle of elevation problem, the height of the pole can be calculated using the tangent of the triangle.
tanθ = opposite / adjacent
tan 55 = x / 42
x = 42 * tan 55
x = 59.98 ft≅ 60 feet
Learn more on angle of elevation here;
https://brainly.com/question/25748640
#SPJ1
Can someone help me with this question i dont get it
Answer:
Step-by-step explanation:
The equation connects m and n.
Suppose n=1,
m=3/1=3.
If n=2,
m=3/2=1.5
If n=3,
m=3/3=1. This shows that as n increases, m decreases.
If m was equal to 1,
1=3/n
Thus n=3.
If m=2,
2=3/n
n=1.5
If m=3,
3=3/n
n=1.
This also shows that as m increases, n decreases.
Hope this helps :)
Answer:
When I increased n, m decreased.
When I increase m, n decreases
Step-by-step explanation:
Let's say that m is one and n is 3
1 = [tex]\frac{3}{3}[/tex] Us this as our base to compare increasing m and n.
Increase n to 6
[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{6}[/tex]
When I increased n, m decreased.
Increase m to 3
3 = [tex]\frac{3}{1}[/tex]
When I increase m, n decreases
pls help its due on monday...
14-3(8-3)+10=? can someone please answer that for me i keep on getting 11 but its supposed to be 9 i js have to show my work
