Answer:
$302
Step-by-step explanation:
p(x) 3x^4 = x^4-3x^2+5
We put 3 in for x and solve
3(3)^4 = 3^4 -3(3)^2 + 5
3(81) = 81 -3(9) + 5
243 = 81 - 27 + 5
243 = 59
Then we add 243 with 59 and get
$243 + $59 = $302
So, they spend together $302
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find the gradient of a line passing through each of the following pair of points (0,-5) and (6,3)
The width of a rectangle is the length minus 2 units. The area of the rectangle is 8 square units. What is the length, in units, of the rectangle?
The length of the rectangle is 4 units.
What is rectangular shape?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
Let n be the length of the rectangle.
The width of a rectangle is the length minus 2 units.
The width = n - 2
The area of the rectangle is 8 square units.
The area of the rectangle = length x width
8 = n (n-2)
n²-2n - 8 = 0
n²-4n+2n - 8 = 0
n(n-4)+2(n-4) = 0
(n+2)(n-4) = 0
n = 4 and -2.
So the length is 4 units.
Therefore, 4 units are the length of the rectangle.
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It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars each, the number sold is given by n = a/(x-c) + b(95-x), where a and b are positive constants. What selling price will bring a maximum profit? Express the total profit P in terms of X. P(x) The selling price that will maximize profit is $
The total profit P in terms of x can be expressed as
P(x) = (a - c) (a/(x-c) + b(95-x))
The selling price that will maximize profit is the positive constant, a in dollars.
To find the selling price that will bring a maximum profit, we need to find the derivative of the profit function P(x) and set it equal to 0.
The profit function P(x) is given by P(x) = nx - nc,
where n is the number of backpacks sold and c is the cost to manufacture and distribute each backpack.
Substituting the given expression for n into the profit function gives:
P(x) = (a/(x-c) + b(95-x))x - c(a/(x-c) + b(95-x))
P(x) = (a - c) (a/(x-c) + b(95-x))
To find the selling price that will maximize profit, we need to find the critical points of P(x) by taking the derivative of P(x) with respect to x and setting it equal to 0:
P'(x) = (a - c) (-a/(x - c)² - b) = 0
Thus P'(x) = 0 at c = a or (x - c)² = -a/ b
a and b are positive constants, so -a/ b is negative but (x - c)² is never negative, so it is not a possible solution.
So only solution is c = a, that is for maximum profit selling price, c should be equal to the positive constant, a.
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Ash and her 2 friends went to dinner. If the bill was $124.72, and they left an 18% tip, how much did each person pay
Each person will pay $49.056. The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.
Which percentage is it?A percentage, often known as percent, is a division by 100. Percentage, which meaning "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
Amount of bill = $124.72
and tip they left = 18% of $124.72
total amount is =$124.72 + $124.72*18%=$147.1696
so, each person pay= $147.1696/3=$49.056
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A grocery tore ha 13%-off ale on all bread. You decide to purchae 6 loave of bread. Let b be the original price of a loaf of bread. Expand the expreion 6(b-0. 13b). Once the expreion i expanded, who do the term repreent
6b - 0.78b it will result after expanding the expression.
What is an expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.
There are three different expression types:
There is just one arithmetic value that an arithmetic expression may produce.A character expression evaluates to just one character value.One logical value is produced by the evaluation of a logical or relational statement.Let, b represent the original price of a loaf of bread.
Given that,
A grocery store has 13%-off sale on all bread.
This means that the amount by which the price of bread was reduced would be
13/100 × b = 0.13 × b = 0.13b
The new price for the loaf of bread would be: b - 0.13b
you decide to purchase 6 loaves of bread. The expression would be:
6(b - 0.13b)
Expanding the expression, it becomes: 6b - 0.78b
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What is the name of a 3 4 5 triangle?
The right angle triangle is the name of the 3, 4, and 5 triangles.
A right-angled triangle is a triangle with one of the angles at 90 degrees. A 90-degree angle is called a right angle.
The formula states that in a right triangle:
The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude.
(Hypotenuse)² = (Base)² + (Altitude)²
c²=a²+b²
The three numbers which satisfy the above formula are the Pythagorean triplets
Properties of right angle:
The largest angle is always 90º and called the hypotenuse which is always the side opposite to the right angle.
The measurements of the sides follow the Pythagoras rule, which cannot have any obtuse angle.
consider c=5 a=3, b=4 substitute in above formula:
5²=3²+4²
⇒25=9+16
⇒25=25
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Question 10 options:
Which is not a property of a parallelogram?
A) All sides are congruent. B) Diagonals are perpendicular bisectors of each other. C) Opposite angles are congruent. D) Diagonals are congruent.
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. All angles are congruent, and the diagonals bisect each other and are congruent. It does not, however, have the property that all angles are equal.
A parallelogram is a four-sided shape with two pairs of parallel lines. The opposite sides of the parallelogram must be congruent, meaning that they have the same length. All angles are congruent, which means that they all have the same measure. The diagonals of the parallelogram bisect each other, meaning that they divide each other into two equal parts, and they must also be congruent. All of these properties are true for a parallelogram, except that the angles do not have to be equal. The angles can be either acute, obtuse, or right angles, but they must all have the same measure. So, in conclusion, the property that is not true for a parallelogram is that all angles are equal.
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Hint: your answer will be a fraction or decimal. ex: 3/5 or 0.6 *
Find the probability that a point chosen at random on the part of the number line shown will lie
between points B and C.
On solving the provided question we can say that - the probability of the event will be there are two red sides, thus multiplying 16.6667 by two results in 33.3333%.
What is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.
Each side would be 50%, and if one side were divided among three people, it would equal 16.6667 per person.
Given that there are two red sides, you can multiply 16.6667 by 2 to get 33.3333%.
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A team of scientists is developing a computer model to predict the change in average global temperatures over the next 100 years. The model accounts for a wide variety of variables that could affect temperature during this time. Which variable would most likely affect the temperatures that the model predicts
Scientists are developing a computer model to predict the change in average global temperatures over the next 100 years. The model accounts for a wide variety of variables that could affect temperature during this time.
These variables include:
Carbon dioxide emissions from human activity (x) - This variable is considered to have the greatest impact on temperature predictions as human activities have significantly increased the amount of carbon dioxide in the atmosphere, which is a major greenhouse gas that causes global warming. Carbon dioxide emissions from activities in nature (y) - This variable also plays a role in temperature predictions as it contributes to the overall amount of carbon dioxide in the atmosphere.Global sea level (z) - The time interval is sufficiently large for the global sea level to have a greater impact on temperature predictions as rising sea levels can affect coastal regions and weather patterns.Global rates of photosynthesis (p) - Changes in the Earth's orbital path can affect the global rates of photosynthesis, which in turn can affect temperature predictions.The acidity of ocean water (q) - While the acidity of ocean water is an important variable, it is considered to have a less significant impact on temperature predictions compared to the other variables listed above.In summary, the variables are ranked in order of their likely impact on temperature predictions, with carbon dioxide emissions from the human activity being the most significant variable, followed by carbon dioxide emissions from activities in nature, global sea level, global rates of photosynthesis, and acidity of ocean water.
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11c+ 8) (-9c - 1)
Help plssss
Answer:
Step-by-step explanation: (11c + 8) (-9c - 1)
Then expand
which would be 11c ( -9c - 1) + 8 ( -9c - 1)
-99c^2 -11c - 72c - 8
It becomes -99c^2 - 83c -8
I hope this was helpful
What is an equation of the line that passes through the point (-5,-6) and is parallel to the line 4x−5y=35?
Answer: To find an equation of the line that passes through the point (-5,-6) and is parallel to the line 4x−5y=35, we can use the fact that two lines are parallel if and only if they have the same slope.
The slope of the line 4x−5y=35 is -4/5. Therefore, we can find an equation of the line that passes through (-5,-6) and is parallel to 4x−5y=35 by using the slope-intercept form of a linear equation, y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).
Substituting the values into the slope-intercept form, we get:
y = (-4/5)x + b
To find the value of b, we can substitute the coordinates of the point (-5,-6) into the equation:
-6 = (-4/5)(-5) + b
-6 = 8/5 + b
-6 - 8/5 = b
-24/5 = b
Therefore, the equation of the line that passes through the point (-5,-6) and is parallel to the line 4x−5y=35 is:
y = (-4/5)x - 24/5
This can also be written as:
y = -4/5x - 24/5
Step-by-step explanation:
find the total surface area of this cuboid.
The total surface area of the cuboid is 2 (lh + lw+ hw) square units.
What is surface?A surface is the part of solid matter that can be touched by hand or seen with eyes. In other words, it is the place where the solid matter encounters the outside world through contact, light, etc. Solid matter not only effects humans with its surface, but also air, water, and other solid matter. Therefore, things around us work cooperatively with the outside world and with other things through surfaces, without a surface, solid matter would not be able to interact with anything.By changing the characteristics of solid matter, interactions such as the impact on the solid matter from other things (such as environmental conditions and people) as well as the effect that solid matter has on other things can be changed. In other words, certain features of the solid matter can be controlled as needed.To learn more about surface refer to:
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What is the slope of an absolute value function?
Its slope is m = 1 on the right side of the vertex, and m = - 1 on the left side of the vertex.
Absolute Value Function:
An absolute value function is a function that contains an algebraic expression within the absolute value sign. Remember that the absolute value of a number is its distance from 0 on the number line. To graph the absolute value function, select some values of x and find some ordered pairs.
In mathematics, the absolute value or modulus of the real number x, represented as.
|x| is the non-negative value of x, regardless of sign.
x is positive and |xI =-x}. For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3. The absolute value of a number can be thought of as the distance from zero.
Generalizations of the absolute value of real numbers are made in a variety of mathematical contexts. For example, absolute value is also defined for complex numbers, quaternions, ordinal rings, fields, and vector spaces. Absolute value is closely related to the concepts of magnitude, distance, and norm in various mathematical and physical contexts.
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What is the value of 5 by 2?
The value of 5 divided by 2 is 2.5.
Therefore the answer is 2.5.
When dividing 5 by 2, we are trying to find out how many times 2 can fit into 5. The answer is 2 with a remainder of 1, this is why it can also be written as 2 and 1/2.
When dividing 5 by 2, we can also write the result as a fraction, in this case, it is 2 and 1/2 or 2.5 in decimal form. It is the exact same thing as 2.5, just represented in a different way.
It's important to note that, in general, dividing integers will give a decimal number. If you want the result to be a fraction, you will have to express it as such.
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Carlos saves aluminum cans to sell to the recycling center. He recently recycled 43 pounds of cans and received $23. 65. How many dollars would he get at this rate for recycling 200 pounds of cans?
The rate of recycling 200 pounds of cans based on the mentioned information is $110.
Firstly calculating the cost of cans per pounds. Then we will proceed to actual calculation about rate of recycling 200 pounds.
Cost of recycling one pound of can = total cost ÷ number of recycled cans
Keep the values in formula
Cost of recycling one pound of can = 23.65/43
Performing division
Cost of recycling one pound of can = 0.55
Cost of recycling 200 pounds of cans = 0.55 × 200
Performing multiplication
Cost of recycling 200 pounds of cans = 110
Therefore, the required rate is $110.
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In the six weeks, Shapera mowed 7 lawns, worked 36 hours at the pet store, and delivered newspapers 7 days. Did she make enough to buy the computer? Explain your answer
If Shapera mowed 7 lawns and worked for 36 hours at pet store and delivered newspapers 7 days , then she earned $497 which is not enough to buy the computer .
the amount that she earns in mowing each lawn is = $15 ;
So , the amount earned for mowing 7 lawns is = [tex]15\times 7[/tex] = $105 ;
the amount that she earns per hour working at pet store is = $7 ;
So , amount earned for working 36 hours is = [tex]36\times 7[/tex] = $252 ;
the amount that she earns by delivering newspapers per day is = $20 ;
So , amount earned by delivering newspapers for 7 days =[tex]20\times7[/tex] = $140 ;
The total amount earned by Shapera is = [tex]\$ 105 + \$252+\$140[/tex]
On adding all the amount earned ,
we get ;
= $497 ;
The amount earned by Shapera is $497 .
Therefore , Shapera will not be able to buy the $499 computer as she is $2 less than the price .
The given question is incomplete , the complete question is
Shapera has three sources of income. She earns $15 for each lawn she mows. She earns $7 per hour working part-time at a pet store She earns $20 each day she delivers newspapers.
In the six weeks, Shapera mowed 7 lawns, worked 36 hours at the pet store, and delivered newspapers 7 days. Did she make enough to buy the $499 computer ?
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What is the solution for 7x 5 =- 19?
x = - 8 is the solution for 7x + 5 = - 19. This can be solved using the concept of equation solving.
What is an equation?The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.
Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.
7x + 5 = -19
or, 7x = - 19 - 5
or, 7x = - 24
or, x = - 8
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Please help me! I don't understand
Answer: 12
Step-by-step explanation:
The smaller triangles on the right can be proven congruent, so the other side also equals 6. 6+6=12
Find output, g, when the input, r, is 4. g= 25-3r
when the input r, is 4, then the output g, is 13.
The function g = 25 - 3r gives the output g when the input r is given.
If we substitute r = 4 into the equation, we get:
g = 25 - 3×4
g = 25 - 12
g = 13
Therefore, when the input, r is 4, the output g, is 13.
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What is the length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in?
The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the square of the length of the other two sides (a and b).
In this case, a = b = 9 in, so:
c2 = 92 + 92
c2 = 81 + 81
c2 = 162
c = √162
c = 12.73 in
The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in, calculated using the Pythagorean theorem.The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in.
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An auditorium has 30 seats in the first row, 38 seats in the second row, 46 seats in the third row, and so on. how many seats are in the 10th row?
a. 60
b. 93
c. 102
d. 110
Answer:
Step-by-step explanation:Its actually 102, not 110
What is the midpoint of 0 and 5?
The midpoint of 0 and 5 is 2.5.
The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.
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A ball was dropped from a height of 150 cm. The rebound factor of the ball is
0. 8. About how high, in centimeters, did the ball go after the third bounce?
A. 77
B. 96
C. 234
D. 293
the ball go after the third bounce is 77 centimeters when A ball was dropped from a height of 150 cm. The rebound factor of the ball is
0. 8.
In math, height is defined as the vertical distance from the top to the object's base. Occasionally, it is labeled as 'altitude'. The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry
based on the given information
A ball was dropped from a height of 150 cm.
The rebound factor of the ball is 0.8
Evaluate the ball go after the third bounce is given by
150* 0.8 ^3= 77
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A heavy rainstorm damages this year's crop of peanuts. The price of peanut butter increases. What will happen to the demand of jelly?
Answer the 3 questions below related to this scenario.
Complete sentences are not required. Please number each answer.
1. Will there be an increase or decrease?
2. Which way will the graph shift?
3. What is the determinant?
On solving the provided question, we got to know that - to plot the graph, required equation is 3x +y -8 = 0
What is an expression?a collection of numbers, symbols, and operators (like + and ) that represent a value. Examples - 2 + 3 is a formula and there is also the statement 3 x/2. The equals symbol does not appear in expressions. Actually, none of these = ≠ < > ≤ ≥
We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value. To plot the graph,we need to find the equation first.
and to find the equation -
(y - y1) = m( x - x1)
y1 = -4
x1 = -2
y = 3
x = -5)
equation -
(-3)(x-1) = y-5
-3x + 3 = y-5
3x - 3 = 5-y
3x +y -8 = 0
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A consumer organization estimates that over a 1-year period 17% of cars will need to be repaired once, 7% will need repairs twice, and 4% will require three or more repairs. What is the probability that a car chosen at random will need
The probability that a car chosen at random will need no repairs = 72%; no more than one repair = 91%; some repairs = 9%
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty.
28% of all vehicles will require some sort of repair; of these, 19% will require one repair, 7% will require two repairs, and 2% will require more than two repairs.
The number of vehicles that would not require any form of repairs is equal to the entire number of vehicles less the proportion that requires repairs; for example, 100% - 28% = 72%. The total number of automobiles minus the percentage that require more than one repair equals the percentage of vehicles that will require no repairs or just one
; hence, 100% - (7% + 2%) = 91%. The total number of vehicles in need of repairs is equal to the product of those with two repairs and those with three or more.
the probability that a car chosen at random will need no repairs = 72%; no more than one repair = 91%; some repairs = 9%
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Evaluate the integral by reversing the order of integration.
2
0
6
11ex2 dx dy
3y
When we reverse the integration and evaluation orders, we obtain: [tex]\frac{c}{2}-1[/tex]
What is integration?In mathematics, an integral lends numerical values to functions to represent concepts like volume, area, and displacement that result from combining infinitesimally small amounts of data. Integration is the action of locating integrals.
So, we have:
[tex]$$\int_0^1 \int_x^z e^{\frac{x}{y}} d y d x$$\\[/tex]
Here: [tex]z=\sqrt{x}[/tex]
Next, reverse the sequence:
[tex]$$\int_0^1 \int_m^y e^{\frac{x}{y}} d y d x$$ $m=y^2$$$\\\\\begin{aligned}\\& \int_{=0}^1\left(e^{\frac{x}{y}} y\right) \| \begin{array}{l}y \\y^2\end{array} d y \\& \int_{=0}^1(e y)-\left(e^y y\right) d y\end{aligned}$$[/tex]
The following section uses integration by parts,
[tex]$$\begin{aligned}& \mathbf{u}=\mathbf{y}, \\& d v=e^y\end{aligned}$$$$\mathrm{d} u=1$$$$v=e^y$$$$\begin{aligned}& =\left(\left(\frac{e y^2}{2}\right)-\left(y e^y\right)\right)||_0^1+\int_0^1 e^y d y \\& = \\& =\frac{e}{2}-e+e-1=\frac{e}{2}-1\end{aligned}$$[/tex]
Therefore, when we reverse the integration and evaluation orders, we obtain: [tex]\frac{c}{2}-1[/tex]
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Correct question:
Evaluate the integral by reversing the order of integration.
8 0 2 3ex4 dx dy 3 y
Find the product of the factors 8.075*0.08
Answer: 8.075: gotta get somebody else to do this one...sorry. and 0.08 = 8
Step-by-step explanation:
Did this with a classmate couple months ago. Hope this helps. :)
What is linear equation 8th class?
An equation in which the highest power of the variable is 1 is known as a linear equation. It is also termed a one-degree equation.
There are two types of linear equations, linear equations in one variable and linear equations in two variables. The standard form of a linear equation in one variable is Ax + B = 0. Where x = variable, A = coefficient and B = constant.
The standard form of a linear equation in two variables is Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always formed in a straight line. That is why it is named a 'linear equation'.
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C) Will Qamar have enough lacquer to cover the floor below? (pictured)
D) Justify your answer.
E) If your answer is “No,” how much more lacquer does she need? If your answer is
“Yes,” how much lacquer will she have left over? Show your work to justify your
answer.
Based on the information provided, Qamar will have enough lacquer to cover the floor and 24 square feet will be left over.
How much lacquer does Qamar have?Based on the information given, Qamar has 600 square feet.
How much lacquer does Qamar need?To calculate the total lacquer Qamar needs, it is necessary to calculate the area of the floor that has to be covered. In the case of a parallelogram, the area can be calculated using the following formula:
Area = Base x heigh (in a parallelogram, the height is the distance between the two horizontal lines using a straight line)Area = 48 feet x 12 feetArea = 576 square feetNow, if the total of material available is 600 feet, it can be concluded there is enough material to cover this floor. Let's calculate the lacquer left over:
600 - 576 = 24 feetNote: This question is incomplete; here is the missing information:
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For two weeks the highest temp each day was recorded in four different cities. Line L, M, N, & P are graphs of the temp over time in Lubbock, Memphis, New Orleans, & Phoenix. Which statement is true?
A. the high temp in Lubbock increased as time passed
B. the high temp in Memphis decreased steadily
C. Initially, the high temp was warmer in Phoethen in Memphis
D. The high temp in Phoenix rose faster than the temp in New Orleans