Answer:
−590+5√5
^-^hope this helped^-^
Suppose that the market for bananas in Binghamton on an average weekday is given by the following equations:
demand:
supply:
P=92−2Q
P=12+2Q
where P is the price of a bushel in dollars and Q is quantity in bushels. a. What is the equilibrium price and quantity? Show graphically. b. Assume that the National Institutes of Health issues a study showing that bananas reduce the risk of cancer. The demand for bananas increases to: demand': P=132−2Q At the original equilibrium price, is there a shortage or a surplus? Of how much? c. What is the new equilibrium price and quantity? Show graphically.
a. the equilibrium price is $52 per bushel and the equilibrium quantity is 20 bushels.
b. the new equilibrium price is $42 per bushel and the new equilibrium quantity is 15 bushels.
Equilibrium price and quantity:
The equilibrium is the point where the supply and demand curve intersect each other. The point where the demand and supply curve intersect each other, P and Q determine the equilibrium price and quantity respectively.
The given equations for demand and supply of the bananas in Binghamton are:
P = 92 - 2QP = 12 + 2QThe equilibrium price and quantity can be obtained by equating the demand and supply equations,92 - 2Q = 12 + 2Q⇒ Q = 20P = 92 - 2(20)⇒ P = 52
Therefore, the equilibrium price is $52 per bushel and the equilibrium quantity is 20 bushels.
The given equations for demand and supply of the bananas in Binghamton are:
P = 92 - 2QP = 12 + 2QThe demand for bananas increases due to the National Institutes of Health’s study, which shows that bananas reduce the risk of cancer.
The new demand equation is given by:
P = 132 - 2QAt the original equilibrium price ($52), the quantity demanded exceeds the quantity supplied.
Therefore, there is a shortage.
The shortage can be calculated as follows:
Quantity demanded at equilibrium price (P = $52) = Quantity supplied at equilibrium price (P = $52)Qd = 92 - 2(20) = 52 bushels Qs = 12 + 2(20) = 52 bushels Shortage = Qd - Qs= 52 - 52 = 0
Therefore, the shortage is 0 bushels.
c. Show graphically.
The new demand equation is given by:
P = 132 - 2QTo find the new equilibrium price and quantity, we need to equate the new demand equation with the original supply equation,P = 12 + 2Q (original supply equation)P = 132 - 2Q (new demand equation)⇒ 12 + 2Q = 132 - 2Q⇒ 4Q = 60⇒ Q = 15P = 12 + 2(15)⇒ P = 42
Therefore, the new equilibrium price is $42 per bushel and the new equilibrium quantity is 15 bushels.
The graphical representation is given below:
Graphical representation of new equilibrium price and quantity.
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Is x = 5 a solution to the equation 19 - x= 14?
A. Yes, because 19 - 5 = 14 is not true.
B. No, because 19 - 5 = 14 is not true.
C. Yes, because 19 - 5 = 14 is true.
D. No, because 19 - 5 = 14 is true.
Answer:
C.
Step-by-step explanation:
If you plug in the value of x (5) into the equation you get...
19-5=14
Then solve.
14=14
Is 14=14?
Yes!
Meaning that it is a solution.
Hope this helps!
14. The two-way table shows whether the 576
students at Jim's school rode the bus or in a car to
school. Of the 6th graders, find the relative frequency
of those who rode in a car to the nearest percent.
Using it's concept, it is found that the relative frequency of 6th graders who rode a car is given by:
D. 55%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The number of 6th graders is given by:
N6 = 576 - (219 + 189) = 168.
The number of 6th graders who rode a car is:
N6C = 168 - 75 = 93
Hence the relative frequency is given by:
r = 93/168 = 55%.
Hence option D is correct.
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which of the following is an area of mathematics that studies how competing parties interact
An area of mathematics that studies how competing parties interact is known as "game theory."
Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.
Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.
The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.
Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.
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find the slope on the line
Answer:
slope is -3
Step-by-step explanation:
change in y over change in x is -3/1
Help plsssssssssssssssss???
Answer: y= (6/5)x - (18/5)
Find the 22nd term of the following sequence:5, 8, 11,
step by step gets brainliest
Answer:
68
Step-by-step explanation:
5,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50,53,56,59,62,65,68
State the domain and range of the following function. {(2,3), (7,9), (4,-7), (6,2), (3,-5)} a. Domain: {-7, -5, 2, 3, 7}; range: {2, 4, 6, 9} b. Domain: {2, 2, 3, 4, 7}; range: {-7, -5, 2, 9, 3} c. Domain: {2, 3, 4, 6, 7}; range: {-7, -5, 2, 3, 9} d. Domain: {-7, -5, 2, 3, 9}; range: {2, 3, 4, 6, 7}.
The correct option is C as it consists exact domain and range that we need.
What is domain and range?
The domain of a function f(x) is that the set of all values that the function is outlined, and also the range of the operate is that the set of all values that f takes.
The set of all attainable values that qualify as inputs to a operate is thought because the domain of the operate, or it also can be outlined because the entire set of values attainable for freelance variables. .
Main body:
the given function :
{(2,3), (7,9), (4,-7), (6,2), (3,-5)}
domain = (2,7,4,6,3)
range = (3,9,-7,2,-5)
Hence the correct option is C.
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Last year you could get a hamburger, fries, and a cola at Francisco's Drive-In for $2.00. Since the price of a hamburger has increased 10%, the price of fries has increased 30%, and the price of a cola has increased 50%, the same meal now costs $2.58. If the price of a cola is now 9 cents more than that of a hamburger, what was the price of each item last year?
Answer:
hamburger = h = $0.22
Fries = f = $0.96
Cola = c = $0.82
Step-by-step explanation:
Let
last year's price for each item be hamburger = h
Fries = f
Cola = c
h + f + c = 2.00 (1)
The price of a hamburger has increased by 10%
New price of hamburger = 1.10h
The price of fries has increased by 30%
New price of fries = 1.30f
The price of cola has increased by 40%
New price of cola = 1.40c
The same meal now costs $2.58.
1.1h + 1.3f + 1.4c = 2.58 (2)
If the price of a cola is now 9 cents more than that of a hamburger
1.4c = 1.1h + .09
1.4c - 1.1h = .09
Multiply (1) by 1.4
h + f + c = 2.00 × 1.4
1.4h + 1.4f + 1.4c = 2.8 (3)
1.1h + 1.3f + 1.4c = 2.58 (2)
subtract the new equation:
0.3h + 0.1f = 0.22
Multiply by 10
3h + f = 2.2
Recall,
1.4c - 1.1h = .09
1.4h + 1.4f + 1.4c = 2.8 (3)
- 1.1h + 0.0f + 1.4c = .09
Subtract
2.5h + 1.4f = 2.71
multiply by 10
25h + 14f = 27.1
Recall
3h + f = 2.2
Multiply by 14
42h + 14f = 30.8
25h + 14f = 27.1
Subtract to eliminate f
17h = 3.7
Divide both sides by 17
h = 3.7 / 17
= 0.22
h = 0.22
Substitute h into
1.4c - 1.1h = .09
1.4c - 1.1(0.22) = .09
1.4c - 0.242 = .09
1.4c = .09 + 0.242
1.4c = 1.142
Divide both sides by 1.4
c = 1.142 / 1.4
= 0.82
c = 0.82
Substitute values of c and h into
h + f + c = 2.00
0.22 + f + 0.82 = 2.00
1.04 + f = 2.00
f = 2.00 - 1.04
f = 0.96
Therefore, the price of each item last year was
hamburger = h = $0.22
Fries = f = $0.96
Cola = c = $0.82
a study is planned to compare the proportion of men who dislike anchovies with the proportion of women who dislike anchovies. the study seeks to determine if the proportions of men and women who dislike anchovies are different. a sample of 41 men was taken and the p^ estimate for the true proportion of men who dislike anchovies was determined to be 0.67. a sample of 56 women was also taken and the p^ estimate for the true proportion of women who dislike anchovies was determined to be 0.84. are the requirements satisfied to perform this hypothesis test
Answer:
d. No because n·(1 - \(\hat p\)) = 8.96 is less than 10
Step-by-step explanation:
Question options;
a. Yes because the sample sizes of both groups are greater than 5
b. Yes, because in both cases n·\(\hat p\) > 10
c. Yes, because we know that the population is evenly distributed
d. No, because the n·(1 - \(\hat p\)) is less than 10
Explanation;
The given data are;
The number of men in the sample of men, n₁ = 41
The proportion of men who dislike anchovies, \(\hat p_1\) = 0.67
The number of women in the sample of women, n₂ = 56
The proportion of men who dislike anchovies, \(\hat p_2\) = 0.84
The assumptions for an analysis of the difference between means using a T-test are;
1) The data should be from a random sample of the population
2) The variables should be approximately normal (n·\(\hat p\) ≥ 10, and n·(1 - \(\hat p\)) ≥ 10)
3) The scale of the data is a continuous ordinance scale
4) The sample size should be large
5) The sample standard deviations should be approximately equal
From the requirement for normality, we have;
For the sample of men, n₁·\(\hat p\)₁ = 41 × 0.67 = 24.47 > 10
n₁·(1 - \(\hat p\)₁) = 41 × (1 - 0.67) = 13.53 > 10
For the sample of women, n₂·\(\hat p\)₂ = 56 × 0.84 = 47.04 > 10
n₂·(1 - \(\hat p\)₂) = 56 × (1 - 0.84) = 8.96 < 10
Therefore, the for n₂·(1 - \(\hat p\)₂), the sample does not meet the requirement for normality
The correct option is d. No because n₂·(1 - \(\hat p\)₂) = 8.96 is less than 10
find the value of "w" that makes this quadrilateral a parallelogram.
Answer:
w=7
Step-by-step explanation:
A parallelogram is defined as a four-sided plane rectilinear figure with opposite sides parallel. This means that GH and FE must be equivalent, and HE and GF must be equivalent. Now, we just use those equations to solve.
16w-63=7w
9w-63=0
9w=63
w=7!!!
and we can double check.
16w-81=15w-74
16w=15w+7
w=7
Which expression is equivalent to (2x*+6)(x-2)?
Answer:
(2x*+6)(x-2)
2x(x-2)+6(x-2)
2xx+2x(-2)+6x +6(-2)
we know ;
(-). (-) = +
(-). (+) = -
(+). (-) = -
(+). (+) = +
2xx-2x(2)+6x -6(2)
2x^2 - 4x + 6x -12
2x^2 - 2x -12
Step-by-step explanation:
YALL SOMETHING IS WRONG WITH MY ACCOUNT :( I WAS AN EXPERT AND HAD TONS OF POINTS AND NOW THEY ARE ALL GONE WHAT IS HAPPENING IM LITERALLY SO UPSET
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Need help. Find the value of x
Answer:
Step-by-step explanation:
14
Volume (look at the picture)
Answer:
108
Step-by-step explanation:
You start by finding the area of the trapezoid, which is ((3+5)/2) 3 = 12, then you multiply 12 by 9 which is 12*9 = 108
The value of W is inversely proportional to m. If w=8 then m=25, What is m when W is 20?Show me all the steps please?
Answer:
m = 10
Step-by-step explanation:
The values of w is inversely proportional to m
Mathematically the above statement is expressed as:
w ∝ 1/m
w = k × 1/m
w = k/m
Where k is the Proportionality Constant
First step
Solve for k
If w=8 then m=25
w = k/m
8 = k/25
Cross Multiply
k = 25 × 8
k = 200
Second step
what is m when w=20? Show me the steps please
We solve for m
w = k/m
k = 200
20 = 200/m
Cross Multiply
20m = 200
m = 200/20
m = 10
An independent basic service set (IBSS) consists of how many access points?
An independent basic service set (IBSS) does not consist of any access points.
In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.
Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.
To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.
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The 20% on a $8 sandwhich?
Answer: 1.60
Step-by-step explanation:
ask siri
Answer:
1.6$Step-by-step explanation:
Greetings!!
\(step1\)
20%=100%/5
\(step2\)
8/5=1.6
\(step3\)
5= 10/2
\(step4\)
Divide the numbers by 10:
8/10=0.8
\(step5\)
Multiply the numbers from step4 by 2.
0.8×2= 1.6
If you have any questions tag it on comments
Hope it helps!!!
Mark owes his sister $15. He earned $24 for mowing the grass. He gave 1/6 of his earnings to a local charity and then paid his sister. How much money will Mark have after he repays his sister? *
Answer:
$5
Step-by-step explanation:
(5/6)*24=20
20-15=5
Solve and check the following equation. −75 = −5d − 150d =
Answer:
15/31 is the answer.
Step-by-step explanation:
-75 = -5d- 150d
-5d- 150d= - 155d
divide -75 from -155d
-155d / -155= -75 / -155
=15 / 31
Please help giving 20 points thank you
Answer:
B
Step-by-step explanation:
A pet store has 5 tanks of fish. Each tank has 30 fish. How many fish does the store have?
Answer:
30 fish
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
5 tanks with 30 fish each so 5x30
5x30=150
Match the square root with its perfect square:
1. 1
√49
2. 6
√4
3. 12
√16
4. 10
√36
5. 3
√121
6. 13
√169
7. 11
√25
8. 4
√81
9. 8
√64
10. 5
√144
11. 9
√1
12. 7
√9
13. 2
√100
The square roots given can be matched to the perfect square as :
(1) 1 = √1, (2) 6 = √36, (3) 12 = √144, (4) 10 = √100, (5) 3 = √9, (6) 13 = √169, (7) 11 = √121, (8) 4 = √16, (9) 8 = √64, (10) 5 = √25, (11) 9 = √81, (12) 7 = √49 and (13) 2 = √4
Given are the square root and perfect squares of the numbers from 1 to 13.
Perfect squares are the whole numbers we get by squaring the whole numbers, that is multiplying to itself twice.
1 = √1² = √1
2 = √2² = √4
3 = √3² = √9
4 = √4² = √16
5 = √5² = √25
6 = √6² = √36
7 = √7² = √49
8 = √8² = √64
9 = √9² = √81
10 = √10² = √100
11 = √11² = √121
12 = √12² = √144
13 = √13² = √169
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Identify the domain and range for the relation: (-4, -2), (-6, -3), (-8, -4), (-10,-5)
Answer:
Domain: {-10, -8, -6, -4}
Range: {-5, -4, -3, -2}
Step-by-step explanation:
The domain is a set of all the x's. Here you were given points and the first number in the parenthesis is the x in (x, y). Sometimes they will give you a table or a graph. But domain is all the x's gathered together. I put them in order from small to big to be neat. There aren't any repeats here, but if there ever are repeats you don't have to list them multiple times, just once.
The range is all the y's in the points (x, y) its the second number. Gather all the y's in a set, that is the range.
What is 0.048 written as a fraction?
six over 1250
six one hundred twenty-fifths
seven one hundred fiftieths
forty-eight one hundredths
Answer:
\(\dfrac{6}{125}\)
Step-by-step explanation:
To convert a terminating decimal into a fraction, begin by dividing the decimal by 1:
\(\implies \dfrac{0.048}{1}\)
Multiply the numerator and denominator by 10 for every digit after the decimal point - this removes the decimal and creates a fraction.
As there are 3 digits after the decimal point, multiply the numerator and denominator by 10³ = 1000:
\(\implies \dfrac{0.048 \times 1000}{1 \times 1000}=\dfrac{48}{1000}\)
Reduce the fraction by dividing the numerator and denominator by their highest common factor (HCF):
\(\implies \dfrac{48 \div 8}{1000 \div 8}=\dfrac{6}{125}\)
Answer:
b) Six one hundred twenty-fifths.
Step-by-step explanation:
Now we have to,
→ write 0.048 as a fraction.
Converting 0.048 into fraction,
→ (0.048/1) × (1000/1000)
→ 48/1000
→ 6/125
Hence, the answer is 6/125.
How do you write 140% as a fraction, mixed number, or whole number?
The requried, 140% is equivalent to 7/5 as a fraction, 1 2/5 as a mixed number, and 2 as a whole number.
To write 140% as a fraction, we first recognize that "percent" means "per hundred," so 140% can be written as the fraction 140/100. We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor (GCF), which is 20:
140/100 = 7/5
To write 7/5 as a mixed number, we divide the numerator by the denominator and express the result as a whole number plus a fraction. In this case:
7 ÷ 5 = 1 with a remainder of 2
So 7/5 can be written as the mixed number 1 2/5.
To write 7/5 as a whole number, we can round it to the nearest whole number. Since 7/5 is greater than 1.5 and less than 2.5, it rounds to 2.
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Does the equation below represent
direct proportion? If yes, identify
the constant of proportionality.
8x2 = y
Answer: 8x2=y. y=16
Step-by-step explanation:
:D
Find the surface area of the pyramid.
Answer:
the surface area would be 353 in for the pyramid
Step-by-step explanation:
help (look at picture linked)
For each sequence first four and Tenth terms are:
a) n+ 5
First four terms:6, 7, 8, 9
Tenth term : 15
b) 2n- 1
First four terms : 1, 3, 5, 7
Tenth term:19
As given in the question,
Given sequence:
a) n+5
First four terms substitute n=1,2,3,4:
6,7,8,9
Tenth term n=10:
10 +5=15
b) 2n-1
First four terms substitute n=1,2,3,4:
1,3,5,7
Tenth term:
2(10)-1=19
Therefore, for each sequence first four and Tenth terms are:
a) n+ 5
First four terms :6, 7, 8, 9
Tenth term:15
b) 2n- 1
First four terms:1, 3, 5, 7
Tenth term:19
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