The loss in producer surplus as a result of the tax given the information in the diagram is $9000.
What is the loss in the producer surplus?Producer surplus is the difference between the price of a good and the least price the seller is willing to sell the product
The dead weight loss of tax can be determined by calculating the reduction in total surplus as a result of the tax
Loss = (1/2 x 600 x 40) - (1/2 x 300 x 20)
12000 - 3000 = $9000
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pls help me how do they get 9 7/5 = 10 2/5 ( its in the example number 1) plss help me i don't know :⊂
Answer:
INSTRUCTION FOLLOWED: write the sum as a mixed number where the fractional number is less than one.5/5 out of the 7/5 make ONE whole while 2/5 is left over.
The ONE whole is added to nine to make 10 and the remaining 2/5 is also added to the 10 hence 9 7/5 = 10 2/5
Step-by-step explanation:
INSTRUCTION FOLLOWED: write the sum as a mixed number where the fractional number is less than one.5/5 out of the 7/5 make ONE whole while 2/5 is left over.
The ONE whole is added to nine to make 10 and the remaining 2/5 is also added to the 10 hence 9 7/5 = 10 2/5
Solve the following quadratic by completing the square.
Answer:
[tex]x = -5 \pm \sqrt{26}[/tex]
Step-by-step explanation:
[tex]x^2+10x-1=0\\\\\implies x^2+2\cdot 5 x +5^2-5^2-1=0\\\\\implies (x+5)^2-25-1=0\\\\\implies (x+5)^2 -26=0\\\\\implies (x+5)^2 = 26\\\\\implies x +5 = \pm\sqrt{26}\\\\\implies x = -5 \pm \sqrt{26}[/tex]
Which expression represents 25 times the sum of m and 3?
Answer:
25(m+3)
Step-by-step explanation:
25 is multiplied by (m+3)
'the sum of m and 3' is a quantity which must be indicated using parentheses
Hello!
The sum of means we add:
m+3
Multiply it times 25:
25(m+3)
The answer is Option C.
Now, the option you selected is wrong for the following reasons:
If you translate it into a verbal phrase, this is what it means:
25 plus the product of m and 3
Hence, Option C is correct.
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power! :-)
Help picture below problem 12
Answer:
78°
Step-by-step explanation:
Angles on a straight line = 180°
AD is the straight line
Angle BFA = 48
Angle CFD = 54
54 + 48 = 102
180 - 102 = 78
Therefore, Angle BFC = 78°
Find the mean median and range of the data 0,1,1,2,2,3,3,3,4,4,4,4,5,5,5,5,6,6,7,7,7,8,8,9,9,17
Answer:
Mean: 5.19 or 5.2
Median: 5
Range: 17
Step-by-step explanation:
Range: Q3 - Q1
0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 17
Here, we have 26 numbers
Minimum: 0
Maximum: 17
Median: 5 + 5 = 10/2 = 5
Lower quartile (Q1): 3
Upper quartile (Q3): 7
Range (biggest # - the smallest #): 17 - 0 = 17
Mean (add up all the numbers, and divide it by 26): 135/26 = 5.19 or 5.2
Hope this helps!
Lola bought 4.25 yards of ribbon. The ribbon cost $1.59 per yard. What was the
total cost of her ribbon to the nearest cent?
Fill in the blanks with an operation symbol and a number to complete the
equation.
4.25___$1.59 = $_
can someone please tell me the answer to this I can’t figure it out!!
Answer:
the answer is (0, 0) trust me
En un estadio 6/8 de los asistentes son mayores edad y de estos 2/4 son mujeres ¿que fraccion de los asistentes mayores de edad son mujeres?
Answer: 3/8
Step-by-step explanation: 6/8 x 2/4 = 3/8
The fraction of attendees of legal age who are women are 3/8
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have in a stadium, 6/8 of the attendees are older and of these 2/4 are women.
The fraction of attendees of legal age who are women are -
2/4 of 6/8
2/4 x 6/8
12/32
3/8
Therefore, the fraction of attendees of legal age who are women are 3/8
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[English translation of question -
In a stadium, 6/8 of the attendees are older and of these 2/4 are women, what fraction of the attendees of legal age are women?
Spanish translation of answer -
Tenemos en un estadio, 6/8 de los asistentes son mayores y de estos 2/4 son mujeres.
La fracción de asistentes mayores de edad que son mujeres son:
2/4 de 6/8
2/4 x 6/8
32/12
3/8
Por tanto, la fracción de asistentes mayores de edad que son mujeres son 3/8
]solve for X 3.5x/9= 4.2/5 Please help me
Answer:
x=2.16
Step-by-step explanation:
1. Cross multiply. 3.5x(5) = 9(4.2)
2. Simplify. 17.5x=37.8
3. Divide both sides by 17.5. x=2.16
find the equation (in terms of x) of the line through the points (-2,1) and(2,9)
Y=
Answer:
2
Step-by-step explanation:
gradient =y² -y¹ /x²-x¹
=9-1/2--2
=8/4
=2
Answer:
y = 2x + 5
Step-by-step explanation:
There are 2 ways to find this equation:
The first way: We have: y = ax + b (this is the line, right?)
The line is through the point (-2, 1) so we have:
1 = (-2)a + b (1)
The line is also through the point (2, 9) so we have:
9 = 2a + b. (2)
From (1) and (2) we get a equals 2, b equals 5. Then:
y = 2x + 5
The second way:
Let A(-2, 1) and B(2, 9), then AB = (4, 8).
=> The normal vector of this line is n = (-2, 1).
The line that is through the points A(-2, 1) and B(2, 9), and has the normal vector n=(-2, 1) has the equation:
[tex]-2(x - 2) + 1(y - 9) = 0[/tex]
[tex]-2x + y - 5 =0\\ < = > y = 2x + 5[/tex]
What is the slope-intercept equation for this line?
y = [?]x+ []
Answer:
y=3x+1
Step-by-step explanation:
please I need help with this question
Answer:
$5.40
Step-by-step explanation:
First, find Dave's purchase. To do this, you multiply 15 by the tax percent and add that to the original.
So:
15 x 8% = 15 x 0.08 = 1.2
15 + 1.2 = 16.2
Next, do the same for Mel's purchase:
20 x 8% = 20 x 0.08 = 1.6
20 + 1.6 = 21.6
Then, you subtract Dave's purchase from Mel's:
21.6 - 16.2 = 5.4
This comes out to $5.40
area of the base= 75square inches and heigh = 15 inches
75 ÷ 15 = 5
the width is 5 inches
Find m<1 -will mark brainly
Answer:
50°
Step-by-step explanation:
90-40= 50° ............
Make x the subject of the formula
y = x^2
Answer:
[tex]\displaystyle \large{x=\pm \sqrt{y}}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle \large{y=x^2}[/tex]
Make ‘x’ the subject of the formula by square root both sides:
[tex]\displaystyle \large{\sqrt{y}=\sqrt{x^2}}[/tex]
Cancel the square root and square in RHS and write plus-minus in LHS:
[tex]\displaystyle \large{\pm \sqrt{y}= x}\\\displaystyle \large{x=\pm \sqrt{y}}[/tex]
Therefore, the solution is [tex]\displaystyle \large{x=\pm \sqrt{y}}[/tex]
__________________________________________________________
Summary
To make a variable as the subject of equation means to isolate that variable. For an example, if you want to make y as the subject, you’ll have to isolate y-term.
You may also be curious why do you have to add plus-minus on another side when cancelling [tex]\displaystyle \large{\sqrt{x^2}}[/tex] because [tex]\displaystyle \large{\sqrt{x^2}=|x|}[/tex] and [tex]\displaystyle \large{|x|}[/tex] for their positive and their counterparts (opposite/negative) will always give same y-value.
From an example:
[tex]\displaystyle \large{\sqrt{x^2}=4}[/tex] can be rewritten as [tex]\displaystyle \large{|x|=4}[/tex], cancel absolute sign/square root then write plus-minus which the solution is [tex]\displaystyle \large{x=\pm 4}[/tex] and if you substitute x = 4 or -4, the equation will be true for both values.
__________________________________________________________
Others
Let me know if you have any doubts about my answer, explanation or this question through comment!
At 2:00 PM the temperature is 18°F. At 10:00 PM the temperature is -9°F.
What is the change in temperature from 2:00 PM to 10:00 PM?
Answer:
To figure out the change, we subtract the original temperature by the following after temperature.
18°F - original
-9°F - subsequent time after original
So we set up the equation;
18°F - (-9°F)
(Two negatives combine to form a positive)
18°F + 9°F
= 27°F was the change in temperature.
The change in temperature from 2:00 PM to 10:00 PM is -27° F.
What is Temperature?Temperature is a physical quantity that measures the coldness or hotness of an object in reference to some standard value.
Change in temperature can be defined by the difference of the final temperature with that of the initial temperature.
Temperature is usually measured in degree Celsius or degree Fahreheit.
Temperature at 2:00 PM = 18° F
Temperature at 10:00 PM = -9° F
Change in temperature = Final temperature - Initial temperature
= -9° F - 18° F
= -27° F
Hence, the change in temperature can be calculated as -27° F.
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A={ 0,1,3,5,6}; B={1,2,3,7} draw the venn diagram of AUB Writ
Answer:
Here,
n(A)={0,1,3,5,6}
n(B)={1,2,3,7}
n(AUB)=?
we know that,
AUB={0,1,2,3,5,6,7}
Step-by-step explanation:
is it okay ?
hopefully it works <3 ❣️
Simplify the expression. (x)^2(2xy^3)^5
Answer:
32x^7y^15
Step-by-step explanation:
x^2(2xy^3)^5
can be simplified by adding up the x and y values.
One person is selected at random from a class of 15 males and 14 females. Find the odds against selecting
a) a female.
b) a male.
Answer:
48% chance to be female and 52% chance to be male.
Step-by-step explanation:
14 female + 15 males = 29 total people
a) 14 females/29 total = 0.48... * 100 = 48%
b) 15 males/29 total = 0.57.... * 100 = 52%
{(4x+2y=6),(-2x+2y=18):} Solve by using the elimination method
Please help and show me how you did it
Answer:
[tex]\displaystyle [-2, 7][/tex]
Step-by-step explanation:
You want to eradicate one pair of variables so they are set to zero. It does not matter which pair is selected:
[tex]\displaystyle \left \{ {{4x + 2y = 6} \atop {-2x + 2y = 18}} \right.[/tex]
{½[4x + 2y = 6]
{−2x + 2y = 18
>> [tex]\displaystyle \left \{ {{2x + y = 3} \atop {-2x + 2y = 18}} \right. \\ \\ \frac{3y}{3} = \frac{21}{3} \\ \\ \\ y = 7[/tex]
Plug this back into the system to get the x-value of [tex]\displaystyle -2.[/tex]
I am joyous to assist you at any time.
I really need help with the answers
Answer:
Part A: 512 ft²
Part B: 3 cans
Step-by-step explanation:
Part A:
We can divide the shape into 2 areas or rectangles.
The top rectangle's area: 20 x 12 =240
The bottom: 34 x 8 = 272
add these 2 up, 240 +272, and you get 512, the area of this figure.
Part B:
We have to divide the number of feet covered by the area:
512/200 = 2.56
However, we half to round up, cause we cant buy part of a can, we have to buy a whole one.
So, we get 3 cans.
Question 1
Let f(x) = 2x^2 - 3x - 4 and g(x) = x + 5. Find (fg)(x).
The function (fg)(x) is a composite function
The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
How to determine the function (fg)(x)?The functions are given as:
f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.
To calculate (fg)(x), we make use of
(fg)(x) = f(x) * g(x)
So, we have:
(fg)(x) = (2x^2 - 3x - 4) * (x + 5)
Expand
(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20
Collect like terms
(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20
Evaluate
(fg)(x) = 2x^3 + 7x^2 - 19x - 20
Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
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Choose the correct graph of the function y=√x+2 .
Answer:
[D]
Step-by-step explanation:
Graph using the end point and a few selected points.
x y
0 2
1 3
2 3.41
Graph is below:
[RevyBreeze]
These points are linear.
Find the slope.
Х 2 4. 6 8 10
y 7 13 19 25 31
Hint: First calculate the change
between each y-value.
Answer:
3
Step-by-step explanation:
Select an ordered pair: (2, 7)
Select another ordered pair: (6, 19)
slope = (difference in y)/(difference in x)
slope = (19 - 7)(6 - 2)
slope = 12/4
slope = 3
Answer:
Step-by-step explanation:
Pick any two points.
(2 ,7) & (4, 13)
x₁ = 2 ; y₁ = 7 & x₂ = 4 ; y₂ = 13
[tex]Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\dfrac{13-7}{4-2}\\\\\\=\dfrac{6}{2}\\\\\\= 3[/tex]
.......................................
Answer:
what is your question??????
Step-by-step explanation:
nine times a number p plus two
Can someone plss translate this into a algebraic expression.
Answer:
9n + 2
Step-by-step explanation:
Answer:
[tex]9p+2[/tex]
Hope This Helps! Please give Brainliest!
If 10 mm = 1 cm, how many millimeters are in 22 centimeters?
Group of answer choices
Answer:
220 millimeters
Step-by-step explanation:
If you take 22 cm * 10mm/1cm you get 220 mm
Please rate!
7/8m+9/10-2m-53 answer
Answer:
− (45m+2084)/40
Step-by-step explanation:
I do not have one sorry,
In circle O. AD and BE are diameters. The measure of arc AB is 55° and the measure of arc CD is 25° B с F D E What is the measure of BC ? 090 O 110 O 100 O 80
Answer:
100°
Step-by-step explanation:
the total of all angles around O on one side of AD is 180° (as that would represent a half-circle).
and the sum of the arc angles AB + BC + CD covers the whole 180°.
so, we have
180 = 55 + BC + 25
180 = 80 + BC
BC = 100°
construct the exponential function that contains the points (0,2) and (3,54)
The exponential function that passes through (0,2) and (3,54) is a growth function
The exponetial function is y = 2 * 3^x
How to construct the exponential function?The points are given as:
(x,y) = (0,2) and (3,54)
An exponential function is represented as:
y = ab^x
Substitute the points in the equation
2 = ab^0 and 54 = ab^3
Solve 2 = ab^0
a = 2
Substitute 2 for a in 54 = ab^3
54 = 2b^3
Divide by 2
27 = b^3
Take the cube roots of both sides
b = 3
So, we have:
y = ab^x
This becomes
y = 2 * 3^x
Hence, the exponetial function is y = 2 * 3^x
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