To minimize the amount of paper used to create a rectangular poster with a given amount of printing and specific margins, you can use the formula for the area of a rectangle to determine the dimensions that will minimize the area of the poster.
In this case, the area of the poster must be at least 48 square inches to contain the printing, and the margins at the top and bottom must be 3 inches each, for a total of 6 inches. The margins at the sides must be 1 inch each, for a total of 2 inches. Therefore, the minimum area of the poster is 48 + 6 + 2 = 56 square inches.
To minimize the amount of paper used, we want to find the dimensions of the poster that will have the smallest possible area while still satisfying the constraints on the margins and the amount of printing. We can do this by using the formula for the area of a rectangle:
A = lw
where A is the area of the rectangle, l is the length, and w is the width.
In this case, we want to find the length and width that will minimize the area of the rectangle while still satisfying the constraints on the margins and the amount of printing. We can do this by setting the area of the rectangle equal to the minimum area we calculated above (56 square inches) and then solving for the length and width:
A = lw = 56
lw = 56
We can then use the constraints
answer this please i need help
Answer:
it is 180
Step-by-step explanation:
denise rode 3 kilometers on a bike.clark rode 5000 meters on a bike. how many more meters did clark ride than denise
In linear equation, Clark rode 2 kilometres more than Denise .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Equations whose variables have a power of one are called linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
Denise rode 3 kilometres .
Clark rode 5000 metres which is 5 kilometres .
So , Clark rode 2 kilometres more than Denise .
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Okay so if I have a 67 as my overall grade and I get the exact thing for my final exam am I literally getting a 0 as my grade please I’m freaking out???
Answer:
No.
Step-by-step explanation:
Don't worry. Yes, your grade will decrease but won't go to 0.
Answer: It all depends on how weighted your final exam is on your overall grade compared to other assignments.
h(x) = −7x² + 10x - 5
Answer: The expression you provided is a quadratic function in the form of H(x) = ax^2 + bx + c, where a = -7, b = 10, and c = -5. The graph of this function is a parabola with the vertex located at x = -b/2a = -10/(-14) = 5/7. The y-coordinate of the vertex can be found by plugging the x-coordinate into the original function, giving us H(5/7) = (-7)(5/7)^2 + 10(5/7) - 5 = -5/7 + 25/7 - 5 = 0. This means that the vertex of the parabola is located at the point (5/7, 0). The general form of the quadratic function is H(x) = -7(x - 5/7)^2.
Uing the model of upply and demand, conider the market for navel orange. Illutrate the
impact on the market for navel orange if (i) the price of Cutie (a type of mandarin orange) fall
while (ii) change to the Clean Water Act mean that citru farmer have to adopt new expenive
farming practice to avoid nutrient runoff harming the environment. Explain the change to the
navel orange market, drawing concluion about expected change to the market price and
quantity for navel orange
Cuties and naval oranges are interchangeable, therefore when Cuties' price drops, more mandarin oranges will be consumed by consumers, increasing the demand for naval oranges .
As the Mandarin oranges are an alternative for navel oranges, a decrease in the price of Mandarin oranges will result in more people purchasing Mandarin oranges.
The Federal Water Pollution Control Act Amendments of 1972 were passed in response to growing public knowledge of and concern over water pollution (33 U.S.C. 1251 et seq.).
This law was modified in 1977 (P.L. 95-217), and as a result, it became known as the Clean Water Act (CWA).
Given constant levels of the other determinants—tastes, income, prices of related goods, expectations, and the number of buyers—the demand curve is defined as the relationship between the price of the good and the amount or quantity the consumer is willing and able to purchase in a given time period.
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Write this function in standard form:
f(x) = (2x + 3)(x^2 - 5x + 1)
Answer:
Hi!
The answer would be:
f(x)= 2x^3 - 7x^2 - 13x + 3
I hope this helped you! :)
Given
�
∥
�
m∥n, find the value of x.
m
n
t
113°
x°
The value of X is 67°.
What makes lines parallel?If two lines never cross and always lie at the same distance apart, they are said to be parallel. Both lines need to be parallel (in the same plane). The symbol for parallel lines is represented by two tiny parallel lines when written in geometric shorthand, as this ║. For instance, we write JI║NX to indicate that lines JI and NX are parallel. A transversal line is one that runs parallel to another line. The transversal forms eight angles when cutting across parallel lines. Eight parallel lined angles can be obtained by cutting a transversal across any existing pair of parallel lines by drawing the transversal with a straightedge.These eight angles in parallel lines are:Corresponding anglesAlternate interior angleAlternate exterior anglesSupplementary anglesHence, The value of X is 67°.
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The complete question is:
I need a step-by-step process on how to do:
-3x+y=9
y=x-7
I would think this is a substitution problem.
Answer:
x = -8
y = -15
Step-by-step explanation:
-3x + y = 9
y = x - 7
-3x + x - 7 = 9
-2x - 7 = 9
-2x = 16
2x = -16
x = -8
y = -8 - 7
y = -15
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The value of x in the linear inequality -3(2x - 5) < 5(2 - x) is x > 5 which shows an open circle is at 5 and a bold line starts at 5 and is pointing to the right.
Linear InequalityA system of linear inequalities in two variables includes at least two linear inequalities in the identical variables. When we solve linear inequality then we get an ordered pair. So basically, in a system, the solution to all inequalities and the graph of the linear inequality is the graph displaying all solutions of the system.
In the given inequality, we have -3(2x - 5) < 5(2 - x)
We can expand the graph and simplify
-3(2x - 5) < 5(2 - x)
-6x + 15 < 10 - 5x
15 - 10 < -5x + 6x
5 < x
x > 5
This indicates that an open circle is at 5 and a bold line starts at 5 and is pointing to the right.
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Lisa paid $46.58 for 16.7 gallons of gasoline. What was the cost per gallon, rounded to the nearest hundredth?
Answer: 2.73 is the answer
Step-by-step explanation:
On cold days, nick likes to make hot chocolate. He uses 6 table spoons of coco and 2 table spoons of sugar
Guys please help me on this question its like very hard and please show work
Answer:
For every 3 tablespoons of cocoa, Nate uses 1 tablespoon of sugar.
Step-by-step explanation:
Since the sugar is halved, the cocoa should be halved as well. 6/2 is 3.
What is the image of the point ( − 4 , − 1 ) (−4,−1) after a rotation of 27 0 ∘ 270 ∘ counterclockwise about the origin?
The image of the point (-4, -1) after a rotation of 270 counterclockwise about the origin will be (-4, 1).
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The point (- 4, -1) is in the fourth quadrant. After a rotation of 270 counterclockwise about the origin, then the coordinate would be in the third quadrant.
Let the coordinate of (-x, -y) be the fourth quadrant. Then the coordinate in the third quadrant will be (-y, -x)
Therefore, The image of the point (-4, -1) after a rotation of 270 counterclockwise about the origin will be (-4, 1).
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A room has the floor dimensions of 50 meters by 60 meters. The height of the basement is 10 meters. What is the total area of all four walls?
Hello,
I hope you and your family are doing well!
To find the total area of all four walls of the room, you need to find the area of each wall separately and then add them all together. The area of a wall is the product of its height and width.
The width of each wall is 50 meters, and the height of each wall is 10 meters, so the area of each wall is 50 * 10 = 500 square meters. There are four walls in the room, so the total area of all four walls is 500 * 4 = 2000 square meters.
--
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Happy Holidays!
Answer: 2200
Step-by-step explanation: I looked it up
Somebody solve This maze?
Answer:
check image
Step-by-step explanation:
do the cross method for each one for example for the first one do 11x20 which equals 220 then divide that by 22 so 220/22 that gives you 10
Aiko i encloing a new rectangular flower garden with a rabbit garden fence. She ha 40 feet of fencing
A = -x² + 20 is a quadratic function in standard form that depicts each area as a function of width.
What makes anything a quadratic function?A quadratic in mathematics is a particular kind of problem that involves squaring, or multiplying a variable by itself. This terminology comes from the fact that a square's area equals the product of its side length and itself. Quadratum, the Greek word meaning square, is where the word "quadratic" originates.
Briefing:Now, give the x and y labels to the two sides.
We are aware that a rectangle's area is;
A = length * width
Thus;
A = xy
Given that she has 40 feet of fencing, the following follows:
y = 0.5(40) - x
y = 20 - x
Consequently, the area in the quadratic function formula is;
A = x(20 - x)
A = 20x - x²
A = -x² + 20
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does 2+x have an y-intercept of 2 and slope of 1
A right triangle has a hypotenuse of 12√2 and one leg equal to 9√2. What is
the length of the other leg?
Answer: 3√14 units
Step-by-step explanation:
Let the length of the other leg equal to x
Hence, according to Pythagoras' theorem
[tex]x^2+(9\sqrt{2} )^2=(12\sqrt{2})^2 \\\\x^2+9^2(\sqrt{2)^2}=12^2(\sqrt{2})^2\\\\x^2+81(2)=144(2)\\\\x^2+162=288\\\\x^2+162-162=288-162\\\\x^2=126[/tex]
Extract the square root of both parts of the equation:
[tex]x=\sqrt{126} \\\\x=\sqrt{9(14)} \\\\x=3\sqrt{14}\ units[/tex]
Arrange 0. 4, 0. 52 , 0. 81 and 0. 43 in acending order. Now pick the firt number and add 2 to it,
after adding 2 to it ubtract thi number from 5 and finally multiply the reult with 100
The ascending order of the given numbers will be 0.4, 0.43, 0.52 and 0.81 and the final number after performing all the indicated operations is 260.
According to the question,
We have the following information:
0.4, 0.52, 0.81 and 0.43
Now, we know that in ascending order we order from the smallest to the largest.
Ascending order of the given numbers:
0.4, 0.43, 0.52 and 0.81
Now, the first number is 0.4.
Adding 2 to this number:
0.4+2
2.4
Subtracting the number from 5:
5-2.4
2.6
Now, multiplying it by 100:
2.6*100
260
Hence, the ascending order of the given numbers will be 0.4, 0.43, 0.52 and 0.81 and the final number after performing all the indicated operations is 260.
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-6(10x-10) - 5 how do I solve this
Answer: x= 11/12
Step-by-step explanation:
-6(10x-10) - 5
-60x +60 - 5
-60x + 55
Subtract 55 on both sides
-60x = -55
x= 55/60
x= 11/12
Sale! 75% OFF
of the original price!
If a strawberry milkshake has a sale price of $1, what was the original price?
Submit
Answer: $4
Step-by-step explanation:
75% = 3/4
If 4/4 = full price,
subtract 3/4
4/4 - 3/4 = 1/4 = 25% of the original price
25% = $1
75% = $3
$1 + $3 = $4
if you were to guess how probability of tunneling through a finite barrier scales with barrier size (once it's bigger than a wavelength), which would you pick?
As an object's mass and the energy difference between it and the barrier's energy increase, the probability that it will tunnel through the barrier diminishes.
And although while the functionality shows that the wave function never fully hits zero, this explains why tunneling is common at the nanoscale but insignificant at the larger scale. The probability of tunneling declines exponentially with the square root of the mass of the particle (smaller particles may more easily tunnel through barriers than larger ones) and the barrier thickness.
Three requirements must be satisfied for a quantum particle to appreciably tunnel through a barrier ,
The barrier's height must be limited and its thickness should be minimal.The barrier's potential energy (E/V) is greater than the particle's kinetic energy.The fact that the wavefunction can pass through the barrier indicates that the particle possesses wave characteristics. This shows that quantum tunneling does not apply to macroscopic items and only applies to microscopic objects like protons or electrons.To learn more about tunnelling
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what does the univariate t test tell you that the bivariate correlation test alone does not? what does the bivariate test tell you that the univariate test does not tell you?
In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.
The definition of univariable data is "one variable," and it is generally understood to be one sort of data. It is one of the straightforward methods for data analysis. The data in univariable data only include one variable.
The cat's weight, for instance, is 10, 15, 25, 27, 30, 35, and 40.
The variable is hence "Cat weight."
The definition of bivariate data is "Two Variable," and it essentially consists of two different forms of data. It is a straightforward type of statistical analysis.
Only one variable is analysed at a time in univariate statistics. Two variables are compared in bivariate statistics. Multiple variables are compared using multivariate statistics.
In a bivariate analysis, the correlations between the two variables are measured. When there are more than two variables in the data set, a more complicated statistical analysis technique called multivariate analysis is utilized.
Therefore,
In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.
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Some points of a function are plotted as shown. Select all the points that could also be a part of this function. Choose all that apply.
Point (6,2) is part of the function.
What are functions?
In mathematics, a function is a procedure that uniquely connects the value of one variable to the value of another variable (or variables).
Here, we have the plotted points as:
(0,3), (2,7), (3,1), (5,4), (7,6)
Assuming from the above, we get a sinusoid graph as below.
Now if we try to plot the provided points, we see that only (6,2) satisfies the curve.
Hence, (6,2) is a point that is part of the function.
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PLEASE HELP ME. I NEED HELPPPP I WILL GIVE BRAINIEST
The area of the figure is 50.24 units squared.
How to find the area of a figure?The figure above is a quarter of a circle. A circle divided into 4 equal parts is a quarter of a circle. Therefore, the area of the figure can be represented as follows:
Since, the figure is a quarter of a circle, the product of the area of a circle and 1 / 4 is the area of the figure.
Hence,
area of the figure = πr² / 4
where
r = radiusTherefore,
r = 8
area of the figure = 3.14 × 8² ÷ 4
area of the figure = 3.14 × 64 × 1 / 4
area of the figure = 200.96 / 4
area of the figure = 50.24 units squared
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If m is the centroid of triangle abc, am = 44, ce =54, and dm = 23, find each missing measure. fm=?
If m is the centroid of triangle abc, am = 44, ce =54, and dm = 23, then each missing measure fm=88 and ce=44.
What is the centroid ?The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.
How do you find the centroid of a triangle with 3 points?Step 1: Identify each vertex's coordinates.
Step 2: Add together and divide by three all the x values from the coordinates of the three vertices.
Step 3: Add together all the y values from the three vertices and divide the result by three.
Step 4: The centroid coordinate is determined from the values collected in stages 2 and 3.
the ratio of both segments is 2:1.
where;
am = 44 and dm = 23
the longer segment is double of shorter one:
2*23 = 46.
Therefore,
fm = 46-23
= <<23=23>>23
now finding ce:
= 2*44
= 88, so
ce measures
= 88-44
=44.
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Find equivalent equations Of 3+2x-9-4 X +11+ 5x- X
The required expression is 2x + 5 that equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x.
What are Equivalent Expressions?The expressions that have identical values are called to be equivalent expressions.
The expression is given in the question following as:
⇒ 3 + 2x − 9 − 4x + 11 + 5x − x
We have to determine the equivalent expression to the given expression
As per the question, we have
⇒ 3 + 2x − 9 − 4x + 11 + 5x − x
Combine the like terms together in the above expression,
⇒ 2x - 4x + 5x - x + 3 - 9 + 11
⇒ 2x + 5
Thus, the required expression is 2x + 5 that equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x.
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Solve the system algebraically.
2x-y=-5
y=1-3x
Answer:
The answer is x= -2/3
Step-by-step explanation:
Find the total cost to the nearest cent.
$ 22 haircut
tip: 20 %
PLEASE HELP!!!!!!!!!!! BEFORE 11:59 PM EST
Find the equation of a line perpendicular to y 7 = - 4/3x that pae through the point (-8, -1)
The equation of a line perpendicular to y 7 = - 4/3x that pass through the point (-8, -1) is 3x-4y=20 where x-intercept is 3 and y-intercept is -4.
What is an equation or line?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables.
What is equation of a straight line?The formula for a straight line is y=mx+c where c is the height at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.
Given line ;
y 7 = - 4/3x
now comparing it with y=mx+c to find the value of m and we found;
m1=-4/3
now if two lines are perpendicular then,
m1.m2=-1
m2=3/4
now finding the equation of line passing through the point (-8, -1)
x1=-8
y1=-1
(y−y1)=m(x−x1)
Y+1=(3/4)(x+8)
Y+1=(3x/4)+(24/4)
Y=(3x/4)+(6)-1
Y=(3x+20)/4
4y=3x+20
rearrange;
3x-4y=20
this is our required value.
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