Answer:
B
Step-by-step explanation:
y=kx+m
k=y2+y1 / x2+x1
(3,5) and (7,9)
k=(9-5)/(7-3)=4/4=1
Now we want to find out what m is. This is by inserting a point in the equation of the line y=kx+m.
so I'll pick (3,5)
5=1×3+m
m= 2
To check if it's correct we could try it with the other point, (7,9).
9=1×7+m
m=2
Therefor the equation would be. y=1x+2
simplify the expression:
2 (-2 - 4r) =
Answer:
-8r-4
Step-by-step explanation:
2(-2-4r)=?
2(-2)= -4
2(-4r)= -8r
2(-2-4r)=-8r-4
Answer:
brainliest plssssssss
Step-by-step explanation:
2(−2−4r)
=(2)(−2+−4r)
=(2)(−2)+(2)(−4r)
=−4−8r
=−8r−4
Factorise 3k+12 with explanation step by step
Answer:
3(k+4)
Step-by-step explanation:
3k and 12 have a common factor of 3
factor 3 out of the two values
3(k+4)
you can check by multiplying everything in the brackets by 3
3xk =3k
3x4=12
Answer:
3(k+4)
Step-by-step explanation:
As the common factor between 3k and 12 is 3.
so 3 goes infront of the open bracket. 3×K =3K and 3×4=12
so k+4 goes inside the brackets.
Catherine saved some money and plans to add the same amount each week to her savings account. The table represents the number of weeks that she will save, x, and the total amount of money that she will have in her account, y.
Weeks, x
Dollars in account, y
4
74
6
86
9
104
11
116
Which linear equation represents Catherine’s situation?
y = one-sixth x + 70
y = 6 x + 50
y = StartFraction 1 Over 9 EndFraction x + 104
y = 11 x + 116
Answer:
b y=6x+50
Step-by-step explanation:
i got it right hope this helps
Answer:
B-y = 6 x + 50
Step-by-step explanation:
Tony notes that an electronics store is offering a flat $20 off all prices in the store. Tony reasons that if he wants to buy something with a price of $50, then it is a good offer, but if he wants to buy something with a price of $500, then it is not a good offer. This is an example of: inconsistent reasoning; saving $20 is saving $20. the proper application of the Cost-Benefit Principle. inconsistent reasoning because prices are sunk costs. rational choice because saving 40% is better than saving 4%.
Answer: inconsistent reasoning; saving $20 is saving $20
Step-by-step explanation: Tony's reasoning would be deemed as being inconsistent because the discount offered on sale of items isn't based on proportion rather it is based on a specified amount. Tony is basing is judgement on percentage rather the specified discount amount on product. Hence, thinking the offer isn't good when buying more expensive product is erroneous as the offer isnt based on proportion and the same specified amount is saved across all items purchased.
Will mark brainliest!
Plz help
Answer:
x = 6
Step-by-step explanation:
Answer:
this is technically not a function, but y<15
Step-by-step explanation:
–5(–2) = WILL GIVE 20 POINTS
Answer:
10Step-by-step explanation:
-5 (-2) = 10
A company buys a new bulldozer for $134350. The company depreciates the bulldozer linearly over its useful life of 21 years. Its salvage value at the end of 21 years is $11500. Depreciation is the decrease or loss in value of the equipment due to age, wear, or market conditions. A) Express the value of the bulldozer, V, in terms of how many years old it is, t. V = _______B) The value of the bulldozer after 5 years is $
A)The expression for the value of the bulldozer in terms of how many years old it is, t, is: V = $134,350 - ($5,530.95 * t) B) The value of the bulldozer after 5 years is $106,695.25.
To express the value of the bulldozer, V, in terms of how many years old it is, t, we can use the concept of linear depreciation. Linear depreciation assumes that the value decreases at a constant rate over time. In this case, the initial value of the bulldozer is $134,350, and it depreciates over 21 years.
The depreciation per year can be calculated by subtracting the salvage value ($11,500) from the initial value and dividing it by the useful life of the bulldozer:
Depreciation per year = (Initial value - Salvage value) / Useful life
Depreciation per year = ($134,350 - $11,500) / 21
Now, we can express the value of the bulldozer, V, in terms of the number of years, t, using the depreciation per year:
V = Initial value - (Depreciation per year * t)
V = $134,350 - ([$134,350 - $11,500] / 21) * t
B) To find the value of the bulldozer after 5 years, we substitute t = 5 into the expression:
V = $134,350 - ($5,530.95 * 5)
V = $134,350 - $27,654.75
V = $106,695.25
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What is the numerical coefficient of the variable m.
m/6
Answer:
Step-by-step explanation:
xy is the coefficient of 6m, mxy is the coefficient of 6 and so on……. Note: In the term 'm', the coefficient of m is 1 since 1 times m is equal to m. Similarly, in the term '-m' the coefficient of m is -1 since -1 times m is equal to -m.
ASAP HELP PLEASE WILL MARK BRAINLIST
Answer:
A and D
Step-by-step explanation:
[tex]A)3\frac{2}{3} +\sqrt\frac{36}{4} \\=3\frac{2}{3} + \frac{6}{2} \\=\frac{11}{3} +\frac{6}{2} \\=\frac{22+18}{6} \\=\frac{40}{6} \\\\D)3\frac{2}{3} * \sqrt\frac{36}{4} \\=\frac{11}{3} *\frac{6}{2} \\=11[/tex]
As 40/6 form a ratio and can be expressed in a p/q form where p=40 and q=6, it is rational
As 11 forms a ratio(11:1) and can be expressed in a p/q form where p=11 and q=1, it too is rational
Use set theoretic or vector notation or both to describe the points that lie in the given configurations
v = (1,−1, 2)+t(2, 3, 1) satisfies the equation 5x −3y −z −6 = 0.
To describe the points that satisfy the given equation and configuration, we can use set-theoretic and vector notation.
Set-theoretic notation:
Let A be the set of points that satisfy the equation 5x - 3y - z - 6 = 0 and lie on the line defined by the vector v = (1, -1, 2) + t(2, 3, 1), where t is a real number.
A = {(x, y, z) | 5x - 3y - z - 6 = 0, and there exists t ∈ ℝ such that (x, y, z) = (1, -1, 2) + t(2, 3, 1)}
Vector notation:
Let v0 = (1, -1, 2) be the initial point on the line, and let d = (2, 3, 1) be the direction vector of the line.
The set of points that satisfy the equation and lie on the line can be represented as:
A = {v0 + t * d | 5(v0 + t * d) - 3y - z - 6 = 0, t ∈ ℝ}
In this notation, v0 represents the initial point on the line, t is a scalar parameter, and d represents the direction vector of the line.
Both notations describe the same set of points that satisfy the equation and lie on the given configuration.
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what is PEMDAS? and how do you use it?
Answer:
please excuse my dear aunt sallyStep-by-step explanation:
PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. For any expression, all exponents should be simplified first, followed by multiplication and division from left to right and, finally, addition and subtraction from left to right.
PEMDAS stands for Parentheses, Exponents, Multiply, Divide, Add, and Subtract.
How to use it?
Well, if you have a problem like:
19 + 4 x 3.
If someone didn't know the rule of PEMDAS, they would start from the beginning of the problem, but no.
If you follow the rule, MULTIPLYING comes before ADDING. So you need to solve whatever comes first in PEMDAS.
4 x 3 = 12, then plus 19 = 31
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Store A charges $1,200 for repairs with a 6 percent sales tax. Store B charges $1,350 with a 7 percent sales tax. Explain how you would determine the amount of money saved by using Store A instead of Store B?
Answer:
The total repair cost for each store is the cost of repairs added to the sales tax. The amount of money saved will be the difference between the two total costs.
Answer:
Gratuity of $180 I would multiply the actual repair cost without including tax to determine the gratuity. So just multiply $1200 by 0.15 getting $180. As an suggestion, calculating 15% in your head is actually quite simple. What you do is calculate 10%, divide that in half, then add together. So for the $1200 example, you have 1200/10 = 120 half of 120 is 60 120 + 60 = 180 So you have a top of $180.
Step-by-step explanation:
Hellllppppppeee pleaseeee!!!!!!
Answer:
Scale Factor = 2
Step-by-step explanation:
ABC is your original triangle and A'B'C' is the dilation. You know these are similar triangles so only one side has to be used to find the scale factor. AB has a length of 3 and A'B' has a length of 6 so you know the side lengths of A'B'C' are going to be 2 times the size of triangle ABC side lengths. This gives you a scale factor of 2.
Locate quadrilateral ABCD and quadrilateral EFGH on the coordinate plane. Use GeoGebra to identify the transformations that will map ABCD onto EFGH, and then describe them in the table. Enter the coordinates of the vertices of the images that you created. Paste a screen capture of the images below the table.
Answer:
See image attached
Step-by-step explanation:
The new coordinate of point E will be (1,1),
the new coordinate of point F will be (2,3),
the new coordinate of point G will be (-1,2),
the new coordinate of point H will be (0,1).
What is the transformation?A transformation is the shifting of the picture for changing the shape or position of a point or a geometric figure.
Transformation is a translation of the figure by which the orientation or size of a given figure is changed without any single effect on the shape.
What is the rotation?A rotation is one kind of translation in which the object rotates about a fixed point or axis. The direction of rotation may be either clockwise or anticlockwise.
As we know if we rotate a point of coordinate (x,y) 90° counter clockwise then the new coordinate of the point will be (-y,x).
Here the new coordinate of point A(1,-2) will be (2,1).
the new coordinate of point B(3,-1) will be (1,3).
the new coordinate of point C(2,-4) will be (4,2).
the new coordinate of point D(1,-3) will be (3,1).
As we know if we reflect the point of coordinate (x,y) about the y-axis then the new coordinate will be (-x,y).
Here the new coordinate of point A(2,1) will be (-2,1).
the new coordinate of point B(1,3) will be (-1,3).
the new coordinate of point C(4,2) will be (-4,2).
the new coordinate of point D(3,1) will be (-3,1).
As we know if we translate the point of coordinate (x,y) 3 units right then the new x coordination will be increased by 3. And the new coordinate will be (x+3,y).
Here the new coordinate of point A(-2,1) will be (1,1).
the new coordinate of point B(-1,3) will be (2,3).
the new coordinate of point C(-4,2) will be (-1,2).
the new coordinate of point D(-3,1) will be (0,1).
Therefore the final answer is attached below with a graph.
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The speed limit in a particular neighborhood is 35 miles per hour. Which inequality BEST represents the speed s a person can drive in this neighborhood without breaking the speed limit?
HELP QUICK
Answer:
we have
speed <=35 miles per hour.
A man borrowed $3700 from a bank for 6 months. A friend was co-signer of the mans personal note. The bank collected 8.5% simple interest on the date of maturity. A) how much did the man pay for the use of the money B) determine the amount he repaid to the bank on the due date of the note
Answer:
(A) $157.25
(B) $3,857.25
Step-by-step explanation:
The given values are:
Principle (P)
= $3700
Time (T)
= 6 months i.e., 1/2 years
Rate (R)
= 8.5%
(A)
As we know,
Simple Interest,
⇒ [tex]SI=\frac{P\times R\times T}{100}[/tex]
On putting the values, we get
⇒ [tex]=\frac{3700\times 8.5\times \frac{1}{2} }{100}[/tex]
⇒ [tex]=\frac{15,725}{100}[/tex]
⇒ [tex]=157.25[/tex] ($) (he paid for the use of money)
(B)
Amount he paid to the bank will be:
⇒ [tex]P+SI[/tex]
⇒ [tex]3700+157.25[/tex]
⇒ [tex]3,857.25[/tex] ($)
in one of the films (Year of the Elephant, Bab el-Oued City, and Long Journey Home) feature a representation of Islam either as character, plot, or theme. Discuss the way in which Islam is portrayed in two of the works, comparing and contrasting between the two works AND discussing how these representations help us understand the overall message of the two works
A. The film's overall message seems to emphasize the importance of personal growth, self-discovery, and finding one's own path amidst societal and religious expectations.
B. Both films offer nuanced perspectives on the role of Islam in society, encouraging viewers to critically examine the complexities and implications of religious beliefs and practices.
Among the three films mentioned, "Year of the Elephant" and "Bab el-Oued City" feature representations of Islam. Let's discuss how Islam is portrayed in these two works, compare and contrast their depictions, and analyze how these representations contribute to the overall messages of the films.
"Year of the Elephant": "Year of the Elephant" is a Moroccan film directed by Hamid Bennani. It is based on a novella by renowned Moroccan author Tahar Ben Jelloun. The story revolves around Zahra, a young woman struggling with her faith and personal identity. Islam is a central theme in the film, explored through Zahra's spiritual journey.
Islam is portrayed as a deeply ingrained cultural and religious force in Zahra's life. Zahra grapples with societal expectations and norms associated with being a Muslim woman. The film highlights traditional interpretations of Islam that restrict women's freedom and agency. There is a focus on the pressures faced by Zahra, including her arranged marriage and adherence to conservative gender roles prescribed by her community.
The portrayal of Islam in "Year of the Elephant" raises questions about the intersection of religion, culture, and personal autonomy. It examines the tension between adhering to religious traditions and pursuing individual desires. The film's overall message seems to emphasize the importance of personal growth, self-discovery, and finding one's own path amidst societal and religious expectations.
"Bab el-Oued City": "Bab el-Oued City" is an Algerian film directed by Merzak Allouache. The narrative revolves around societal tensions and political unrest in Algeria during the 1990s. While Islam is not the primary focus of the film, it is depicted as an influential aspect of Algerian society, particularly within the context of political and ideological struggles.
In "Bab el-Oued City," Islam is portrayed through various characters representing different perspectives and interpretations. Some characters are depicted as devout Muslims, engaging in rituals and prayers, while others exploit religion for personal gain or political manipulation. There is a portrayal of religious fundamentalism and its impact on society, highlighting the extremist views held by certain individuals.
The film explores the complex relationship between Islam, politics, and social dynamics. It sheds light on how religious ideologies can be manipulated to serve political agendas, leading to division and conflict within communities. The representation of Islam in "Bab el-Oued City" serves to provoke thought about the consequences of radicalization and the need for societal unity amidst ideological differences.
While both films touch upon the theme of Islam, their portrayals differ in focus and approach. "Year of the Elephant" primarily explores the personal struggles and identity crisis of an individual Muslim woman within a traditionalist society. On the other hand, "Bab el-Oued City" delves into the broader socio-political implications of Islam within a country undergoing significant turmoil.
In terms of their overall messages, "Year of the Elephant" emphasizes individual liberty and self-discovery within the confines of religious and societal expectations. It encourages viewers to question and challenge prevailing norms to find personal fulfillment. Conversely, "Bab el-Oued City" draws attention to the dangers of extremism and manipulation of religious beliefs for political purposes. It underscores the importance of understanding and bridging ideological divides to foster harmony and progress.
Both films offer nuanced perspectives on the role of Islam in society, encouraging viewers to critically examine the complexities and implications of religious beliefs and practices.
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Part 1 out of 2 Select the word problem that can be modeled by the addition of two negative numbers. A Virginia sold her pottery for $5 and then sold a hat for $2. By how much did Virginia's account change after her transactions? B Amir bought a VCR for $8 and then resold it for $9. By how much did Amir's account change after his transactions? C Polly bought a cracker for $4 and then bought a parrot for $2. By how much did Polly's account change after her transactions? D Marcus sold a cat for $9 and then bought a plant for $4. By how much did Marcus's account changed after his transactions?
Answer: C Polly bought a cracker for $4 and then bought a parrot for $2
-$6
Step-by-step explanation:
Word problem which can be modeled by the addition of two negative numbers :
Option A:
Selling or making a sales will yield a positive value
OptionB:
Purchasing is negative, however, reselling is positive
OptionC:
Purchasing a cracker (c) for $4 = - 4
Purchasing a parrot (p) for $2 = - 2
Hence, both are negative
c + p
-4 + (-2)
= - $6
Option D:
Selling is positive ; purchasing is negative
Simplify the radicals
3√2 ÷ √50
and
√8 ÷ √100
If you could show your work, I would greatly appreciate it.
can I please have help
Answer
uhg k
Step-by-step explanation:
Given f(x)=2x+1, find the domain value if the range is 4
5 = 2x - 1
+1 +1
---------------
2x = 4
-- --
2 2
x = 2. Then the domain point is x = 2 when y = 5. So, the domain point is (2,5).
The total land area on Earth is about 6 × 107 square miles. The land area of Australia is about 3 × 106 square miles. About how many times larger is the land area on Earth than the land area of Australia?
Consider statements p, q, and r. p: It is raining. q: Sam is wearing a hat. r: It is winter. For each part below, fill in the symbolic form. Descriptive form Symbolic form (a)If it is raining then Sam is not wearing a hat, and it is not winter. (b)It is winter or Sam is wearing a hat, if and only if it is not raining.
Answer:
a) [tex]p\rightarrow \neg q \wedge \neg r[/tex]
b) [tex]r\vee q \iff \neg p[/tex]
Step-by-step explanation:
Given statements:
[tex]p:[/tex] It is raining
[tex]q:[/tex] Sam is wearing a hat
[tex]r:[/tex] It is winter
To find:
The symbolic forms for the following:
a) If it is raining then Sam is not wearing a hat, and it is not winter.
b) It is winter or Sam is wearing a hat, if and only if it is not raining.
Solution:
a) The statement followed by 'if ' is written on the left hand side and the statement followed by 'then' is written after the symbol [tex]\rightarrow .[/tex]
Not of a statement [tex]s[/tex] is represented as [tex]\neg s[/tex].
And is represented by [tex]\wedge[/tex] symbol.
Therefore, the statement in symbolic form becomes:
[tex]p\rightarrow \neg q \wedge \neg r[/tex]
b) Not of a statement [tex]s[/tex] is represented as [tex]\neg s[/tex].
Or is represented by [tex]\vee[/tex] symbol.
If and only if is represented by the symbol [tex]\iff.[/tex]
Therefore, the statement in the symbolic form becomes:
[tex]r\vee q \iff \neg p[/tex]
HELP PLEASE 80 POINTS
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the equation. 4(px 1)=64 The value of x in terms of p is . The value of x when p is -5 is .
Answer:
x = 15/px = -3Step-by-step explanation:
Given4(px + 1)=64FindSolve for xFind x when p = -5Solution4(px + 1) = 644(px + 1)/4 = 64/4px + 1 = 16px = 15x = 15/pWhen p = -5, substitute p:
x = 15/px = 15/(-5) = -3Answer:
x = 15 px = -3Step-by-step explanation:
given equation: 4(px + 1) = 64
find
value of x in terms of p
let p = -5
4 (px + 1) = 64
4px + 4 = 64
x = 64 - 4
4p
x = 15
p
plugin the given value of p = -5
x = 15
-5
x = -3
For each of the following, determine whether the equation defines y as a function of x. 2 x + 3y = 4 Function O Not a function 4x + y = 0 Function Not a function 2 x + y = 16 Function O Not a function = √√x-1 O Not a function ? y= O Function X
To determine whether an equation defines y as a function of x, we need to check if, for each value of x, there is a unique corresponding value of y. If there is more than one value of y for a particular x, the equation does not define y as a function of x. Based on the given equations, 2x + 3y = 4 and 4x + y = 0 define y as a function of x, while 2x + y = 16 and √√(x-1) = 0 do not define y as a function of x.
The equation 2x + 3y = 4 can be rearranged to solve for y as follows: 3y = 4 - 2x, y = (4 - 2x)/3. For each value of x, there is a unique corresponding value of y, so this equation defines y as a function of x.
Similarly, the equation 4x + y = 0 can be rearranged to solve for y: y = -4x. Again, for each value of x, there is a unique corresponding value of y, so this equation defines y as a function of x.
On the other hand, the equation 2x + y = 16 cannot be rearranged to solve for y in terms of x. There are infinitely many solutions for y for a given value of x, such as y = 16 - 2x, y = 16 - 2x + 5, y = 16 - 2x - 10, etc. Therefore, this equation does not define y as a function of x.
Similarly, the equation √√(x-1) = 0 does not define y as a function of x. This equation represents a square-root operation, and for a given value of x, there can be two possible values of y, one positive and one negative, that satisfy the equation. Hence, it does not define y as a function of x.
Finally, the equation y = 0 is a horizontal line where y is constantly zero, regardless of the value of x. Therefore, it does define y as a function of x.
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Calculate the present value of a loan that could be cleared by payments of $3,400 at the end of every 6 months for 7 years if money earns 5.19% compounded semi-annually.
Round to the nearest cent
The present value of the loan, rounded to the nearest cent, is $37,196.88.
To calculate the present value of a loan, we can use the formula for the present value of an ordinary annuity:
PV = PMT * ((1 - (1 + r)^(-n)) / r),
where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.
In this case, the periodic payment is $3,400, the interest rate is 5.19% compounded semi-annually, and the loan term is 7 years, which is equivalent to 14 semi-annual periods.
First, let's convert the interest rate to its semi-annual equivalent by dividing it by 2. So, the interest rate per semi-annual period is 5.19% / 2 = 2.595%.
Now, we can plug these values into the formula:
PV = $3,400 * ((1 - (1 + 0.02595)^(-14)) / 0.02595).
Calculating this equation, we find that the present value of the loan is approximately $37,196.88 when rounded to the nearest cent.
Therefore, the present value of the loan, rounded to the nearest cent, is $37,196.88.
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how is a solution to an equation different than a solution to an inequality
7 + 5v − 0 + 2v − 1 = ______
HEY CAN ANYONE ANSWER DIS!!
Answer:
Option CStep-by-step explanation:
From the table we can see that
The rate of change is (slope)
$90 - $65 = $25Zero point (y-intercept) considering same rate is
$65 - $25 = $40The rule for the total cost is:
y = mx + by = 25x + 40Correct option is C
For each of the following statements, determine whether the statement is true or false (the latter including "not necessarily true"), and provide a brief explanation.
(a) A situation where everyone is playing a dominant strategy must be a Nash equilibrium.
(b) In a Nash equilibrium, everyone must be playing a dominant strategy.
(c) A two-person game in which each person has access to only two possible strategies will have at most one Nash equilibrium.
(d) In the following game, there exists only one pure-strategy equilibrium.
(e) In the following game of matching pennies, if player 2 plays (1/2∘H,1/2∘T) (i.e., plays both strategies with equal probability) then player 1 strictly prefers playing (1/2∘H,1/2∘ T ) to playing either H or T with probability 1.
(a) False. A situation where everyone is playing a dominant strategy does not necessarily guarantee a Nash equilibrium.
(b) False. In a Nash equilibrium, players may or may not be playing a dominant strategy.
(c) Not necessarily true. A two-person game with only two strategies for each player can have more than one Nash equilibrium.
(d) True. Without specific details about the game provided,
(e) False. In the game of matching pennies, if player 2 plays (1/2∘H,1/2∘T)
(a) False. A situation where everyone is playing a dominant strategy does not necessarily guarantee a Nash equilibrium. A Nash equilibrium occurs when no player can unilaterally change their strategy to improve their own payoff, regardless of what other players do. It is possible for a situation with dominant strategies for each player to result in a Nash equilibrium, but it is not a guarantee.
(b) False. In a Nash equilibrium, players may or may not be playing a dominant strategy. A Nash equilibrium simply represents a stable outcome where no player has an incentive to deviate from their chosen strategy given the strategies chosen by others. Players could be playing non-dominant strategies and still reach a Nash equilibrium.
(c) Not necessarily true. A two-person game with only two strategies for each player can have more than one Nash equilibrium. The number of Nash equilibria is not solely determined by the number of strategies available to each player but also depends on the payoffs and interactions between the strategies chosen by each player.
(d) True. Without specific details about the game provided, we cannot definitively determine if there exists only one pure-strategy equilibrium. However, if it is stated that there is only one pure-strategy equilibrium, then the statement would be true.
(e) False. In the game of matching pennies, if player 2 plays (1/2∘H,1/2∘T) with equal probability, player 1 does not strictly prefer playing (1/2∘H,1/2∘T) over playing either H or T with probability 1. Player 1's preferred strategy would depend on their own payoffs and the corresponding payoffs associated with the opponent's strategies. Without additional information about the payoffs in the game, we cannot make a definitive judgment on player 1's preferences.
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