The number of cords in 1 m^3 are four.
Here , volume of a cuboid is involved. If l, b, h are respectively the length, breadth and the height of the cuboid , then its volume is given by
V = l x b x h cubic units.
Now, here we know that 1 m =3.28 ft.
So, 1 m^3 = (3.28)^3 cubic feet. = 35.288 cubic feet.
So, we have to find the number of cords in 35.288 cubic feet.
Now, volume of a single cord = l x b x h = 8 x 4 x 4 = 128 cubic feet.
So, no. of cord = 128/35.288 = 3.66.
Since, the number of cords is always a whole number , so 3.66 can treated as 4 by rounding it off to unit's place.
Hence, The number of cords in 1 m^3 are four.
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The number of cords in 1 m^3 is four.
Here, the volume of a cuboid is involved. If l, b, h are respectively the length, breadth and height of the cuboid, then its volume is given by
V = l x b x h cubic units.
Now, here we know that 1 m =3.28 ft.
So, 1 m^3 = (3.28)^3 cubic feet. = 35.288 cubic feet.
So, we have to find the number of cords in 35.288 cubic feet.
Now, the volume of a single cord = l x b x h = 8 x 4 x 4 = 128 cubic feet.
So, no. of cord = 128/35.288 = 3.66.
Since the number of cords is always a whole number, 3.66 can be treated as 4 by rounding it off to the unit's place.
Hence, The number of cords in 1 m^3 is four.
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In AJKL, j = 520 inches, k = 730 inches and l=640 inches. Find the measure of ZK to
the nearest degree.
The measure of ∠K is 72°.
To find the measure of ∠K in ΔJKL, we can use the Law of Cosines. The formula is:
cos C = (a^2 + b^2 - c^2) / 2ab where C is the angle opposite the side of length c.
In this case,
a = JK = 720 inchesb = KL = 640 inchesc = LJ = 520 inches.Plugging in the values, we get:
cos C = (720^2 + 640^2 - 520^2) / 2 * 720 * 640
cos C = 0.4756
Finally, to find the measure of ∠K, we use the inverse cosine function:
∠K = cos^-1 (0.4756)
∠K = 72.22°
Rounding to the nearest degree, ∠K = 72°.
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The complete question is:
In ΔJKL, j = 520 inches, k = 730 inches, and l=640 inches. Find the measure of ∠K to the nearest degree.
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a jar contains 8 blue balls and 4 red balls. if a person selects 6 balls at random, without replacement, what is the probability that all red balls will be selected.
The probability that all red balls will be selected is 0.0083.
The total number of ways to select 6 balls from the jar is 12C6, which is equal to 495. The number of ways to select only red balls is 4C6, which is equal to 1. So, the probability of selecting all red balls is 1/495 = 0.0083. This means that only a small chance of selecting all red balls exists among all possible selections of 6 balls.
Probability is a mathematical concept that provides a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means an event is impossible and 1 means an event is certain to occur.
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Question 3(Multiple Choice Worth 1 points)
(05. 06 MC)
The scatter plot shows the number of stamps Katie collected in different months:
210
180
150
120
Number of
Stamps 90
60
30
Months
What is the approximate predicted number of sta
mps she collected in the 25th month?
By applying linear equation concept, it can be concluded that the number of stamps in the 25th month is 990 stamps
Linear equation is equations whose highest power of the variables is 1. The graph of a linear equation is a straight line.
y = mx + C where
m = Δy / Δx = slope of the line
C = constant
We have the following data:
Month Number of stamps
1 30
2 70
3 110
4 150
5 190
As we look at the attached graph, this data is depicted as a linear graph. Thus we want to find the linear equation.
First, we calculate the m:
m = Δy / Δx
= (70 - 30) / (2 - 1)
= 40 / 1
= 40
To find C, we pick one point, let say point (1,30) and input it into the equation:
y = mx + C
30 = 40*1 + C
30 = 40 + C
C = -10
Now we have the linear equation:
y = mx + C
y = 40x - 10
We want to know the number of stamps in the 25th month, so we input this value into the equation:
y = 40x - 10
= 40*25 - 10
= 1000 - 10
= 990
Thus, the number of stamps in the 25th month is 990 stamps.
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Helppppppppp me FIND C
To find C the Pythagorean formula is used which would be = 7.6
How to calculate the missing side of the triangle?The formula for the Pythagorean theorem is given as follows:
c² = a²+b²
where;
a = 7
b = 3
C = ?
c² = 7²+3²
c² = 49+ 9
c² = 58
C= √ 58
C = 7.6
Therefore, when the Pythagorean formula is being used, the value of the missing side of the triangle = 7.6.
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The hypotenuse of the right triangle is:
C = 7.6
How to find C on the right triangle?On the image we can see a right triangle where C is the hypotenuse of said triangle.
Remember the Pithagorean's theorem, it says that if A and B are the two legs of the right triangle, then C can be written as:
C = √(A² + B²)
Here we can see that:
A = 3
B = 7
Replacing that we will get:
C = √(3² + 7²) =7.6
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please please help me i need it step by step
The lateral Surface Area of a Cylinder is is 345 cm²
What are solids ?
A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.
lateral Surface Area of a Cylinder is :
L= 2 × π × r × h
where, r = base radius,
and h = height of the cylinder
L= 2 × 3.14 × 4.9 × 11.2
=> L= 344.646 cm²
Nearest whole number: 345 cm²
The lateral Surface Area of a Cylinder is is 345 cm²
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A parabolic arch similar to the Hiroshima Peace Arch is 14 m high at the centre of the arch and spans a distance of 30 m. Find the height of the arch at a distance of 7. 5 m from the center
The height of the arch at a distance of 7.5 m from the center is 7m
What is parabola's equation?It's important to keep in mind that a parabola has the usual form of y = a(x - h)2 + k, where (h, k) denotes the vertex and a determines the shape and vertical orientation. x and y are (100, 0) in. You are then provided with the parabola's equation.
What height of the arch, as measured from a point on the water 40 meters from the center of the arch, would sustain a bridge over a river?
The arch is 200 meters wide at water level and 80 meters tall at its tallest point
The peak of the arch might serve as the vertex and be located at position y0 on the y-axis if we wish to plot this on a graph or represent it in an equation
The equation of the parabolic arch is
x² = - 4ay
Lets take x and y for first case as (14, 30)
⇒ 14² = - 4a(30)
⇒ a = −49/30
Now we have a so lets put the formula for another variable to find height
Here, y = 7.5
x² = - 4ay
⇒ x² - 4(-49/30)(7.5)
x = 7
Thus, The height of the arch at a distance of 7.5 m from the center is 7m.
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Are the expressions 1/2(4c+8) + 3c-2 and 4c+2(0.5c+1) equivalent?
How to solve you question!
First, combine multiplied terms into a single fraction.
Like this! (click first file)
sorryyy, i had to do it virtually bc i couldnt find a pencil -.-
then, multiply it by 1.
Like dis! (click second file)
Then, find the common denominator. :>
like dis!!
(obvi, click the third file)
Then, your solution will be dis. (click fourth file.)
Now that we know our solution for the first one, lets do the second one now.
now, if you have the same answers for both, that means, yes, they are equivalent. If no, they are not. If this helped you, please answer my one question of my profile. Thanks!!
Alfred is a real go-getter. He reports that he has raised ninety-eight dollars more than the minimum required. How many total tickets did he sell?.
Alfred sold 98 + the minimum required tickets, so the total number of tickets he sold is 98 + the minimum required.
1. Alfred reported that he raised 98 dollars more than the minimum required.
2. To get the total number of tickets he sold, we will need to add the 98 dollars more than the minimum required to the minimum required amount.
3. Therefore, the total number of tickets Alfred sold is 98 + the minimum required.
Alfred sold 98 + the minimum required tickets, so the total number of tickets he sold is 98 + the minimum required.
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describe the similarities and differences between a frequency table and a frequency distribution. be sure to include which requires qualitative data and which requires quantitative data.
A frequency table is a simple tabular representation of the number of times a particular value or range of values appears in a data set.
It lists the values in one column and the corresponding frequencies in another column. For example, if we have data on the heights of a group of people, a frequency table could list the heights (in cm) in one column and the number of people with that height in the other column.
A frequency distribution is a graphical representation of the same information as a frequency table. It shows the number of occurrences of values in a data set by grouping the values into classes or intervals, and then plotting the frequency of each class or interval. For example, a histogram is a type of frequency distribution where the data is divided into equal-width intervals and the height of each bar represents the frequency of the data that falls within that interval.
A frequency table can be used for both qualitative and quantitative data, whereas a frequency distribution can only be used for quantitative data. This is because the classes or intervals used in a frequency distribution require a numerical representation of the data, which is not possible for qualitative data.
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In two or more complete sentences, describe how to find the interval(s) where the function is increasing and how interval notation is used to express the interval(s). In your final answer, include the interval in which the function is increasing.
The solution is (-5,0), the interval in which the function is increasing.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
In case when you tracking the finger across the line, at which there is an increase or decrease in y axis so this is we called intervals. Moreover, the interval notation is also necessary as it depicts the beginning and ending points. In this, the first number denotes the minimum number while the second number denotes the maximum number
For Decreasing:
(-8,-5)
(4,8)
For Increasing:
(-5,0)
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how to solve 5x^2-x 5 if [f(a)]^2
To solve the equation 5x^2 - x - 5 = 0, you can use the quadratic formula.
First, rearrange the equation to have 0 on the right side:
5x^2 - x - 5 = 0
Next, use the quadratic formula to solve for x:
x = (-b ± √(b^2 - 4ac)) / 2a
where a = 5, b = -1, and c = -5.
Plug in the values:
x = (-(-1) ± √((-1)^2 - 4 * 5 * -5)) / 2 * 5
x = (1 ± √(1 + 100)) / 10
x = (1 ± √101) / 10
So the two solutions are:
x = (1 + √101) / 10
x = (1 - √101) / 10
--The question is incomplete, answering to the question below--
"How to solve 5x^2-x = 5?"
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Find the total when $9500 is invested at 10% simple interest for 5 years.
The total amount when $9500 is invested at 10% simple interest for 5 years is $14, 250
How to determine the total amountIt is important to note that the formula for simple interest is expressed mathematically with the equation;
I = PRT/100
The parameters are given;
I is the simple interest P is the initial amount or the principal amountR is the simple interest rateT is the time takenFrom the information given, we have the values of the principal amount, time and the interest rate
Substitute the values, we get;
Simple interest, I = $9500 × 10×5/100
Multiply the values
Simple interest, I = $475, 000/100
Divide the values
Simple interest, I = $4, 750
Thus, the total amount is $14, 250
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which expression is obtained on subtracting 4x+6 from 7+2x
The expression is obtained on subtracting 4x + 6 from 7 + 2x is -2x + 1
What is the resulting expression of subtracting 4x+6 from 7+2x?Given the two expressions in the question;
( 4x + 6 ) and ( 7 + 2x )
To subtract 4x + 6 from 7 + 2x simply means ( 7 + 2x ) - ( 4x + 6 ).
Now, simplify
( 7 + 2x ) - ( 4x + 6 )
Distribute the negative sign to all the terms in the second expression.
( 7 + 2x ) -4x - 6
Now collect and add like terms
2x - 4x - 6 + 7
Add 2x and -4x
-2x - 6 + 7
Add -6 and 7
-2x + 1
Therefore, the resulting expression is -2x + 1.
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These POINTS are not free please answer each question correctly
Answer:
X=. 1. X=. 2
Step-by-step explanation:
The first story (movie theater) has the equation 6(x+3)= 24. The equation for the juice story is 3(x+6)=24 . The x in the move theater story is the cost of each ticket. The x in the juice story is the amount of juice poured to each friend originally (before the extra 6 ounces). The solution to the movie theater story is 6((1)+3)=24. So x is one is the first story.In the juice story, 3((2)+6)= 24. So x is two. The solution tells me that in the movie theater story that each ticket cost 1 dollar. In the second story, it tells me that 2 ounces of juice where poured to each freind originally. So each freind got a total of 8 ounces of juice.
Step-by-step explanation:
I see only 2 stories and equations.
a.
6(x + 3) = 24
is for the first story (6 show tickets and snacks).
3(x + 6) = 24
is for the second story (juice for 3 friends).
b.
in the first story it is the price of one ticket to the show.
in the second story it is the original amount of juice each friend gets before adding 6 oz.
c. and d.
6(x + 3) = 24
6x + 18 = 24
6x = 6
x = 1
each ticket to the show was $1.
3(x + 6) = 24
3x + 18 = 24
3x = 6
x = 2
each of the 3 friends got first 2 oz of juice, before they each got additional 6 oz. so, ultimately, each friend got 8 oz.
Which graph represents the linear equation y equals one half times x plus 2 on the coordinate plane? graph of a line passing through the points 0 comma negative 2 and 2 comma negative 1 graph of a line passing through the points negative 4 comma 0 and 0 comma 2 graph of a line passing through the points negative 5 comma 0 and 0 comma 1 graph of a line passing through the points 0 comma 1 and negative 4 comma 0
The graph which represents the linear equation y = 1/2 x + 2 is the graph of a line passing through the points (-4, 0) and (0, 2).
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
The slope intercept form of a line is,
y = mx + c,
m : slope and c : y intercept
y intercept is the y coordinate of a point when x coordinate equals 0.
Given linear equation is y = 1/2 x + 2.
m = 1/2 and c = 2
Find the slope and y intercept of each of the line in the options given.
In the first option, we have the point (0, -2).
y intercept of this line = -2, which is not the required y intercept.
In the second option, points given are (-4, 0) and (0, 2).
Since we have the point (0, 2), y intercept = 2
m = (2 - 0) / (0 - -4) = 2 / 4 = 1/2
So the line in the second option is the required line.
Hence the graph of the line represented in the second option is the required line.
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A salad dressing is made by mixing lemon juice and vinegar in the ratio of 4:3. 700ml is taker for salad dressing . how much lemon juice is used?
Answer:400
Step-by-step explanation:
Find the perimeter of the rectangle ABCD whose sides are 6 cm and 5 cm. ?
The perimeter of the rectangle ABCD is 22 cm.
What is the perimeter of a rectangle?
In order to find the perimeter or distance around the rectangle, we need to add up all four side lengths. This can be done efficiently by simply adding the length and the width, and then multiplying this sum by two since there are two of each side length.
Perimeter = (length+width)×2 is the formula for the perimeter.
The perimeter of a rectangle is the sum of the lengths of all four sides.
If the sides of a rectangle have lengths of 6 cm and 5 cm, then the perimeter can be calculated as follows:
6 cm + 6 cm + 5 cm + 5 cm = 22 cm
The perimeter of a rectangle with sides 6 cm and 5 cm is 22 cm (2 * 6 cm + 2 * 5 cm = 22 cm).
Hence, the perimeter of the rectangle ABCD is 22 cm.
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Sierra is riding on a carousel with a 10 foot radius sheet if she's located 1. 5 feet from the edge of the car so how far will she travel five revolutions
She will travel a distance of 62.8 feet × 5 revolutions = 314 feet.
How to estimate the circumference of the circle?Calculate the circle of the carousel (the distance around the outside) and multiply it by the number of revolutions to determine how far Sierra will move after five rotations.
The following equation can be used to determine the carousel's circumference:
Circumference = 2πr
Where "radius" refers to the carousel's radius and "" is an irrational integer roughly equivalent to 3.14. (in this case, 10 feet).
Substitute the values in the above equation, we get
Circumference = 2 × 3.14 × 10 feet
Circumference = 62.8 feet
Since Sierra will make five revolutions, she will travel a distance
= 62.8 feet × 5 revolutions = 314 feet.
Remember that this is only an estimate because the precise distance may have varied slightly depending on the carousel's speed and Sierra's position on it, among other things.
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Naya had a rectangular carpet, it's too large for her living room.
So she cut off a 1-foot wide strip off each side of the carpet.
As a result, the area of the carpet became 26cubic feet
smaller. What's the original perimeter of this carpet?
Answer: 30 ft
Let's assume the original dimension of the carpet was LxW. Now let's have Lin cut a 1 foot wide strip from the length. That gives her a strip that's L feet long. She then cuts a strip from the other side, giving her another strip that L feet long. She then cuts a strip from the width, giving her a 3rd strip that's (W-2) feet long. And finally, she cuts a 4th strip that's also W-2 feet long. So the total length of all those strips is L + L + W - 2 + W - 2 = 2L + 2W - 4 feet long. And since all the strips are 1 foot wide, they cover 2L + 2W - 4 square feet. So: 2L + 2W - 4 = 26 2L + 2W = 30 Now the original perimeter of the carpet is 2L + 2W, therefore the original perimeter is 30 feet.
Solve the following equations
9 ^ (x + 10) + 3 = 92
Answer:
We can solve for x by using logarithms.
9^(x + 10) + 3 = 92
9^(x + 10) = 89
Take the log base 9 of both sides:
x + 10 = log9(89)
x = log9(89) - 10
To find the value of log9(89), you can use a logarithm table or calculator.
The solution for x is:
x = log9(89) - 10
Find the hypotenuse of each isosceles right triangle when the legs are of the given measure.
Given = 3√2
_________ inches
Log2+log3=logx find the value of x
The value of x is 6 using logarithmic properties.
What does it mean to be logarithmic?The power to which a number must be increased in order to obtain another number is known as a logarithm (see Section 3 of this Math Review for more about exponents). For instance, the logarithm of 100 in base ten is 2, since ten multiplied by two equals 100: log 100 = 2, since 102 = 100.
Who is the father of the logarithm?The Scottish mathematician John Napier reported his findings on logarithms in 1614. He was there to aid with the multiplication of quantities known as sines at the time.
Given,
Log2+ log3= logx
To find= We need to find the value of x
The value of log2= 0.301
The value of log 3= 0.477
Now, putting the value in the given expression, we get:
0.301+ 0.477= logx
logx= 0.778
Now, taking the antilog os=f x:
x= antilog(0.778)
x= 5.99=6
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unit 1, lesson 13: congruence
Answer: 1. No, because figure 1 is 5 squares and figure 2 is 6 squares
Step-by-step explanation:
Farah is buying clothes from a website. The website shows this information about a jacket Farah wants to buy. The website claims this is a saving of 46%
The website is advertising a 46% discount on the jacket, meaning that Farah will pay 46% less than the original price if she decides to buy it now.
A discount is a reduction in the original price of an item, allowing the customer to purchase it for less than the original price.
To calculate the discount mathematically, we can use the following formula:
Discounted price = Original price * (1 - discount percentage)
Let's assume the original price of the jacket is P dollars.
The discount percentage is 46%, which can be written as a decimal 0.46. To find the discounted price, we need to multiply the original price by (1 - discount percentage), which is (1 - 0.46) = 0.54.
So, the discounted price after the 46% saving will be P * 0.54 dollars.
In other words, Farah will pay 0.54 times the original price, P, to buy the jacket with the advertised 46% saving.
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Reduce to simplest form. − 8 \7 −(− 6 \5 )=
Answer:
[tex] - \frac{8}{7} - ( - \frac{6}{5}) \\ \\ \longrightarrow \: - \frac{8}{7} \: \: + \: \: \frac{6}{5} \\ \\ taking \: LCM \\ \\ \longrightarrow \: \frac{ - 40 + 42}{35} \\ \\ \longrightarrow \: \boxed{ \frac{2}{35} }[/tex]
hope helpful! :-;
Assume that a procedure yields a binomial distribution with a trial repeated
n=5
times. Use some form of technology like Excel or StatDisk to find the probability distribution given the probability
p=0. 649
of success on a single trial.
(Report answers accurate to 4 decimal places. )
k P(X = k)
0
1
2
3
4
5
The discrete probability distribution of the number of successes in a series of n independent experiments is called the binomial distribution with parameters n and p in probability theory and statistics.
What is the binomial distribution?
The binomial distribution formula aids in determining the likelihood that "x" successes will occur in "n" separate trials of a binomial experiment. Recall that there are two possible outcomes for the statistics probability distribution known as the binomial distribution. The binomial distribution in probability theory has two parameters, n and p. When the probability distribution satisfies the following conditions, it becomes a binomial probability distribution. Each experiment may only yield two results, or results that can be reduced to two results. These results could result in success or failure. There must be a specific number of trails. Each trial's results must be distinct from one another.
Additionally, each trial's likelihood success rate must remain constant.
Using binomial probability formula,
k P(X = k)
0 0.0001
1 0.0020
2 0.0236
3 0.1355
4 0.3899
5 0.4489
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At Tall Timbers Tree Farm, customers can pay to cut their own fir or pine trees. During the first weekend of December, 43 pine trees were sold. The farm sold 97 trees in all that weekend.
Let f represent how many fir trees the farm sold. Which equation models the problem?
The equation models the problem is 54
How to determine the number?The given parameters that will help us to determine the number are
During the first weekend of December, 43 pine trees were sold. The farm sold 97 trees in all that weekend.
There are two kinds of trees
Tir and Pine. On the farm and in the weekend as 97 trees were sold with 43 pine tress.
Let f represent fir trees
This implies that f+43 = 97
⇒f= 97-43
f=54 tress
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Demand is given by QD = 800 - 100P Supply is given by QS = -100 + 200P What is the consumer surplus?
a. $500 b. $1,250 c. $1,500 d. $2,500
The required consumer surplus for the given question is $1000.
How we find the consumer surplus?The consumer surplus can be calculated by finding the difference between the maximum price the consumers are willing to pay and the actual market price.
Given the demand equation QD = 800 - 100P and the supply equation QS = -100 + 200P, we can find the market equilibrium price and quantity by setting QD = QS and solving for P
According to question:800 - 100P = -100 + 200P
900 = 300P
P = 3
So, the market equilibrium price is P = 3, and the market equilibrium quantity is Q = QD = QS = 800 - 100P = 800 - 100 * 3 = 500.
To find the consumer surplus, we need to find the area between the demand curve and the market price. The demand curve can be represented by a linear equation: QD = 800 - 100P. The maximum price the consumers are willing to pay for each quantity can be found by substituting the quantity into the demand equation:
Q = 500: 800 - 100P = 500 => P = 5
So, the maximum price the consumers are willing to pay for Q = 500 is P = 5. The consumer surplus can be found by calculating the area of the triangle between the market price P = 3 and the maximum price P = 5:
Consumer Surplus = 1/2 * (5 - 3) * 500 = 1000
So, the consumer surplus is $1000.
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A shower used 60 gallons of water in 6 minutes complete the table and the plot the point
The gallons of water used column should have four entries: 0, 20, 40, andTo plot the point, you need to plot the values from the table on a graph.
Time (minutes): 0, 2, 4, 6
Gallons of Water Used: 0, 20, 40, 60
Plot: (0, 0), (2, 20), (4, 40), (6, 60)
To complete the table, you need to fill in the time (minutes) and gallons of water used columns.
The time column should have four entries: 0, 2, 4, and 6.
The gallons of water used column should have four entries: 0, 20, 40, andTo plot the point, you need to plot the values from the table on a graph.
The point (0, 0) represents 0 minutes and 0 gallons of water used.
The point (2, 20) represents 2 minutes and 20 gallons of water used.
The point (4, 40) represents 4 minutes and 40 gallons of water used.
The point (6, 60) represents 6 minutes and 60 gallons of water used.
The complete question is :
A shower used 60 gallons of water in 6 minutes. Complete the table and plot the point.
Time (minutes): 0, 2, 4, 6
Gallons of Water Used: 0, 20, 40, 60
Plot: (0, 0), (2, 20), (4, 40), (6, 60)
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Why Can't I have the Virtuoso Badge in Brainly? I have met the requirements.
You need 500 factors to rank up and come to be Virtuoso in Brainly app.
Your can check the quantity of brainliest answer for your account itself
To come to be an virtuoso you at the least require five brainliest answer and also you must have it inside the variety of 30 days and now no longer the whole quantity of brainliest answer.
Whilst you get a complete of five brainliest answer inside 30 days then you may rank up.
Benefits using Brainly appUsing the service is quite easy because after registering on the Brainly application, we can immediately ask and answer questions.
Brainly as an application that brings together students and educators online tries to accommodate the need for online teaching and learning activities. Another benefit of Brainly is that it presents a new, more fun way of learning various literature and science. Brainly brings students and educators together in a mobile platform that is very accessible and efficient.
For those of you who feel confused about a question that hasn't been answered, try the brainly site, the solution to each of your questions may already be answered here.
Learn more about brainly app at
https://brainly.com/question/29549542
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