Janie says an inequality has an infinite number of solutions. Is it always reasonable in a real world situation?
Answers
Inequalities find application in real-world situations.
Businesses use inequalities to control inventory, plan production lines, produce pricing models, and for shipping/warehousing goods and materials. Look up linear programming or the Simplex method. These methods allow one to maximize profit or minimize cost subject to a wide variety of constraints. (e.g. limited materials, power costs, labor costs, shipping/storing costs, taxes, etc...)
While in some situations, especially in situations involving celestial bodies, for example, the number of stars, distance in space, an infinite solution can work, it isn't the case for much simpler cases.
Consider a warehouse that stocks items with varying prices. While an inequality can be used to find the way the items can be stocked to maximize profit, the warehouse can only have a limited amount of items stocked at once.
Another case is the number of items that a machine can produce. However well the machine is maintained, it will eventually succumb to wear and fall out of use after a time regardless of how long it's been used. At that point, we will have a finite number of items that have been produced by the machine.
Therefore, it is not always reasonable that an infinite number of solutions would work in a real-world situation.
Related Questions
Which is not a true statement about the figures shown below
Answers
Answer:That is no thing shown below
Step-by-step explanation:
Answer:
I wish I could help you but you didn't attach a picture.
The stranger decides to tell the captain his story. From the look on the stranger's face in Frankenstein, what kind of a story does the captain think he will hear?
A. A love story
B. A strange and harrowing story
C. A story that is funny and entertaining
D. A story that is boring and he really is not interested in hearing it
Answers
Answer: B strange and harrowing story.
Step-by-step explanation: Based on the description of the stranger's face in the novel, it is likely that the captain would expect the stranger to tell a strange and harrowing story. The stranger's face is described as "wild" and "ghastly," which suggests that the story he is about to tell may be disturbing or unsettling in some way. The captain may also expect the story to be emotionally intense, given the stranger's appearance and demeanor.
Which of the following are solutions to the quadratic equation below?
Check all that apply.
x²+7x-8=0
A. -1
B. 2
C. -4
D. -8
E. 1
Answers
Therefore, the solutions to the quadratic equation x² + 7x - 8 = 0 are -8 and 1. The answers are D and E.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It typically consists of variables, constants, and mathematical operations. Equations can be solved by manipulating the expressions to find the value of the variables that satisfy the equation. Equations can be used to model real-world situations, and they are an important tool in many fields, including mathematics, physics, engineering, and economics.
Here,
To check which values are solutions to the quadratic equation, we can substitute each value into the equation and see if it equals zero.
Substituting -1 into the equation:
(-1)² + 7(-1) - 8 = 1 - 7 - 8 = -14, which is not equal to zero.
Substituting 2 into the equation:
2² + 7(2) - 8 = 4 + 14 - 8 = 10, which is not equal to zero.
Substituting -4 into the equation:
(-4)² + 7(-4) - 8 = 16 - 28 - 8 = -20, which is not equal to zero.
Substituting -8 into the equation:
(-8)² + 7(-8) - 8 = 64 - 56 - 8 = 0, which is equal to zero. Therefore, -8 is a solution to the equation.
Substituting 1 into the equation:
1² + 7(1) - 8 = 1 + 7 - 8 = 0, which is equal to zero. Therefore, 1 is a solution to the equation.
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a recipe calls for 2 cups of flour for every 3 cups of sugar. If you are planning to use 5 cups of flour, how many cups of sugar should you use
Answers
Answer:
7½ cups of sugar
Step-by-step explanation:
2 cups of flour needs 3 cups of sugar
1 cups of flour needs 3/2=1.5 cups of sugar
1×5 cups of flour needs 1.5×5=7.5 cups of sugar=7½ cups of sugar ANS
marking as brainlist pls help
Answers
Explanation:
For this problem, we can use the law of cosines to find the length C. We rearrange the formula for C and solve:
c^2 = a^2 + b^2 - 2ab cos(C)
c = sqrt(a^2 + b^2 - 2ab cos(C))
So for the values, use the following from our image:
a = 61
b = 63
C = 142 degrees
c = sqrt( 61^2 + 63^2 - 2(61)(63)cos(142))
c = sqrt( 3721 + 3969 - (-6056.65))
c = sqrt( 13746.65 )
c = 117.246
So, we have found the value of c to be 117.246.
To round to the nearest tenth, we will have 117.2
Cheers.
If the measure of angle 2 is (5 x + 14) degrees and angle 3 is (7 x minus 14) degrees, what is the measure of angle 1 in degrees?
2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 2, 3, 4.
88 degrees
89 degrees
90 degrees
91 degrees
Answers
Answer:
89 degrees
Step-by-step explanation:
The angle 1 is the same as angle 3.
Angle 2 is the same as angle 4.
The sum of these four angles is 360 degrees.
We have that:
Angle 2 = Angle 4 = 7x - 14
Angle 3 = Angle 1 = 5x + 14
Finding x:
Angle 1 + Angle 2 + Angle 3 + Angle 4 = 360
2*(5x + 14) + 2*(7x - 14) = 360
10x + 28 + 14x - 28 = 360
24x = 360
x = 15
Angle 1:
5x + 14 = 5*15 + 14 = 89 degrees
Answer:
I think it is B
Step-by-step explanation:
For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number.
−66,5
Answers
Answer:
22+_3 because I don't know
Using fluorescent imaging techniques, researchers observed that the position of binding sites on HIV peptides is approximately Normally distributed with a mean of 2.45 microns and a standard deviation of 0.35 micron. What is the probability that a binding site position is between 2.0 and 3.0 microns, approximately
Answers
Answer:
0.8427
Step-by-step explanation:
z = (x-μ)/σ,
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For 2.0 microns
z = (x-μ)/σ
z = 2.0 - 2.45/0.35
= -1.28571
Probability value from Z-Table:
P(x =2.0) = 0.099271
For 3.0 microns
z = (x-μ)/σ
z = 3.0 - 2.45/0.35
z = 1.57143
P-value from Z-Table:
P(x = 3.0) = 0.94196
The probability that a binding site position is between 2.0 and 3.0 microns
= P(x = 3.0) - P(x = 2.0)
=0.94196 - 0.099271
= 0.842689
Approximately = 0.8427
find the size of angle x
Answers
Solve for x, x=25.463345…, but we round to the nearest tenth. x=25.5
Your parents have a credit card with a balance of $3,287.90 at an interest rate of 14.5% APR. They pay $1,200.00 each month on the due date until the card is paid off. How many months does it take to pay off the card, and what is the total amount paid including interest?
Be sure to include in your response:
• the answer to the original question
• the mathematical steps for solving the problem demonstrating mathematical reasoning
Answers
Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.
To find out how many months it takes to pay off the credit card and the total amount paid including interest, we can use the following steps:
Step 1: Calculate the monthly interest rate
Divide the annual percentage rate (APR) by 12 to get the monthly interest rate.
Monthly interest rate = 14.5% / 12 = 0.145 / 12 = 0.01208 (rounded to 5 decimal places)
Step 2: Set up the equation for the number of months
Let's denote the number of months it takes to pay off the card as 'n'. The monthly payment is $1,200.00, and the initial balance is $3,287.90. The monthly interest rate is 0.01208. The equation for the number of months can be written as:
(1) $3,287.90 ×\((1 + 0.01208)^n\) - $1,200.00 ×\([(1 + 0.01208)^n\) - 1] = 0
Step 3: Solve the equation
To find the value of 'n', we need to solve equation (1). However, solving it algebraically can be complex. Instead, we can use numerical methods like trial and error, or we can use a spreadsheet or a calculator to find the solution.
Using a spreadsheet or a calculator, we can input the values and increment 'n' until we find the point where the equation equals zero.
After performing the calculations, it is determined that it takes approximately 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.
Therefore, the answer to the original question is that it takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.
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2.2 2.1.4 a Given that A and B are complementary angles and 7 cos A-3 = 0. Determine WITHOUT the use of a calculator, the value of: 7 cos B-3 tan A. (4)
Answers
Multiplying by which number is equivalent to finding 111%?
Answers
Answer:
1.11
Step-by-step explanation:
100 x 1.11
becuase 1.11 is the multiplier
hello I have a question for you whats is the best estimate for √74
Answers
Answer: 8.6
Step-by-step explanation:
The square root of 74 cannot be simplified, but its decimal form is 8.6.
A cylinder has a height of 20 cm and a diameter of
6 cm. What is the volume, in cubic centimeters, of the
cylinder? Use 3.14 for T.
Answers
PLEASE HELP FAST!! 1) Construct the perpendicular bisector of the given
line segment.
2) Construct the perpendicular bisector of the side
opposing A.
Answers
Answer:
1) The perpendicular bisector of the given line segment is 90 degrees
Step-by-step explanation:
I don't know the second one
What is the value of y in the figure below?
(7y + 27)
(15x - 5)
125°
Answers
Answer:
Simplifying
(7y + 27) + (15x + -5) = 125
Reorder the terms:
(27 + 7y) + (15x + -5) = 125
Remove parenthesis around (27 + 7y)
27 + 7y + (15x + -5) = 125
Reorder the terms:
27 + 7y + (-5 + 15x) = 125
Remove parenthesis around (-5 + 15x)
27 + 7y + -5 + 15x = 125
Reorder the terms:
27 + -5 + 15x + 7y = 125
Combine like terms: 27 + -5 = 22
22 + 15x + 7y = 125
Solving
22 + 15x + 7y = 125
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-22' to each side of the equation.
22 + 15x + -22 + 7y = 125 + -22
Reorder the terms:
22 + -22 + 15x + 7y = 125 + -22
Combine like terms: 22 + -22 = 0
0 + 15x + 7y = 125 + -22
15x + 7y = 125 + -22
Combine like terms: 125 + -22 = 103
15x + 7y = 103
Add '-7y' to each side of the equation.
15x + 7y + -7y = 103 + -7y
Combine like terms: 7y + -7y = 0
15x + 0 = 103 + -7y
15x = 103 + -7y
Divide each side by '15'.
x = 6.866666667 + -0.4666666667y
Simplifying
x = 6.866666667 + -0.4666666667y
Step-by-step explanation:
Because I know
Quadrilateral RSTU is similar to quadrilateral LMNO. What is the value of LO if RU is 6 inches, LM is 45 inches, and RS is 9 inches?
Answers
The value of LO if RU is 6 inches is solved to be 30 inches
What are similar polygons?This is a term used in geometry to mean that the respective sides of the polygons are proportional and the corresponding angles of the triangles are congruent
Hence assuming the corresponding angles of the polygon are congruent then the side should be in proportions
Examining the figure when LM is 45 inches, and RS is 9 inches
the constant of proportionality from quadrilateral RSTU to quadrilateral LMNO is 5
9 * 5 = 45
when RU = 6 inches
6 * 5 = 30 inches
hence LO is 30 inches
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What is the length of the hypotenuse of the triangle when x=9 now!!!
Answers
The concept Pythagoras theorem is used here to determine the length of the hypotenuse. It is an important theorem which explains the relation between the sides of a right angled triangle. The length of hypotenuse is
According to Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides. The sides of this triangle have been named perpendicular base and hypotenuse.
Hypotenuse² = Perpendicular² + Base²
9² + 4² = 97
√97 = 9.84 cm
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Your question is incomplete most probably your full question was:
What is the length of the hypotenuse of the triangle when x=9 now and other side y = 4.
use the points (6,56) and (12,26) from the following data set to determine the point-slope form of an equation that represents the data set. x 5 6 7 8 10 11 12 12 14 y 58 56 53 46 37 33 26 23 13 answer
Answers
The point-slope form of the equation that represents the data set is y - 56 = -5(x - 6), or y = -5x + 86.
EquationsWe are given two points: (6,56) and (12,26) from the data set. We can use the point-slope form of a linear equation to find an equation that represents the data set.
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope of the line.
To find the slope, we use the two given points:
m = (y2 - y1) / (x2 - x1)
m = (26 - 56) / (12 - 6)
m = -30 / 6
m = -5
Now that we have the slope, we can use one of the given points, say (6, 56), to write the point-slope equation:
y - y1 = m(x - x1)
y - 56 = -5(x - 6)
y - 56 = -5x + 30
y = -5x + 86
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Write an expression fod the phrase 6 plus the quotient of 15 and 3. Draw a picture to help, if needed. Show your work
Answers
Answer:
6 + (15÷3)
Hope this helps!
What is the end behavior of the polynomial function?
Drag the choices into the boxes to correctly describe the end behavior of the function.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
f(x)=6x9−6x4−6 f(x)=−3x4−6x+4x−5
Answers
The end behavior of each function is given as follows:
f(x) = 6x^9 - 6x^4 - 4, as x -> -∞, f(x) -> -∞ and as x -> ∞, f(x) -> ∞.f(x) = -3x^4 - 6x + 4x - 5, as x -> -∞, f(x) -> -∞ and as x -> ∞, f(x) -> -∞.End behavior of a functionThe end behavior of a function is given by the limits of the function as x goes to infinity, both negative and positive infinity, giving how the function behaves to the left and to the right of the graph.
For a polynomial function, only the term with the highest exponent is considered for the calculation of the limit, which is a standard rule for limits when x goes to infinity.
The first function is given by:
f(x) = 6x^9 - 6x^4 - 4.
Then the limits that define the end behavior of the function are given as follows:
lim x -> -∞ x^9 = (-∞)^9 = -∞.lim x -> ∞ x^9 = (∞)^9 = ∞.The second function is given by:
f(x) = -3x^4 - 6x + 4x - 5.
Then the limits that define the end behavior of the function are given as follows:
lim x -> -∞ -x^4 = -(-∞)^4 = -∞.lim x -> ∞ -x^4 = -(∞)^4 = -∞.A similar problem, also about the end behavior of a function, is presented at https://brainly.com/question/28884735
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Triangle FGH, with vertices F(-5,-7), G(-2,-5), and H(-6,-2), is drawn inside a rectangle, as shown below.
Answers
The area of the triangle FGH is equal to 13√10 unit²
Given that the vertices;
F(-5,-7), G(-2,-5), and H(-6,-2)
We have to find the area of the triangle as;
Area of triangle = 1/2bh²
Here,
Area of triangle FGH = 1/2 (GH) (FG)²
Now,
Length of FG = √26
Length of GH = √10
Then,
Area of triangle FGH = 1/2 (GH) (FG)²
Area of triangle = 1/2 × √10 × √26²
Area of triangle = 1/2 × √10 × 26
Area of triangle FGH = 13√10
Therefore,
The area of the triangle FGH = 13√10 unit²
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What is the ratio of 3 inches to 20 feet
Answers
Answer:
1/80
Step-by-step explanation:
Answer:
3 inches is 1/4th of one foot so to 20 ft is 1/80th
Step-by-step explanation:
Remember, 12 in.=1 FT
Hope this helps
;)
Kyla Brooks
Question 8 - 10 Points
Mar 03, 1:26:31 PM
?
In ACDE, the measure of ZE=90°, DE = 2.1 feet, and CD = 4.4 feet. Find the measure
of ZD to the nearest tenth of a degree.
D
x
4.4
2.1
E
с
Answers
Answer:
What’s the answer
Step-by-step explanation:
Mike and Breanna like to run after swim practice each day. Usually they run the same distance, x miles. Today, however, they ran different
distances.
• Mike ran at 7 miles per hour and ran 2 more miles than usual.
• Breanna ran at 6 miles per hour and ran 1 more mile than usual.
Complete the table to show each person's distance and rate, which could be used to create rational equation relating their distance, rate, and
time
Distance
Rate
Mike
Breanna
Answers
Answer:
Step-by-step explanation: i got it right :) hopefully you get it in time!
How do you calculate run time and speed?
32 min * 8 min per mi = 4 miles How to calculate run time. Multiply your pace by your distance; If the pace is 9.5 minutes per mile and you run 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds How to calculate running speed. Divide your run distance by your run time.
What do you do to calculate average speed?
choose one point on the line.choose another point on the line.find the time difference between the points.find the distance differences between the points.divide the differences in the distance by the difference in time.Learn more about average speed here https://brainly.com/question/5147964
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a class of 15 students had a spelling test condsisteting of ten words. the number of spelling mistakes made by each student is listed in the data below.
1, 2 ,1 ,0 ,3 ,1 ,2 ,3 ,1 ,2 ,0 ,4 ,2 ,3, x
A: If there are 2 modes, what are the possible values of x?
B: If there is exactly one mode, write a possible value for x, and the mode.
Answers
Step-by-step explanation:
A: If there are 2 modes, x can be either 1 or 2.
B: To find the mode of the data set, we need to count how many times each number appears.
- 0 appears 2 times
- 1 appears 4 times
- 2 appears 4 times
- 3 appears 3 times
- 4 appears 1 time
Since both 1 and 2 appear 4 times in the data set, there are two modes.
For x, if we add it to the data set, then the mode must be x plus either 1 or 2.
If we choose x to be 2, then the mode would be 2, since 1 and 2 each appear 4 times, and adding another 2 would make it the mode.
So a possible value for x could be 2, and the mode would be 2.
Which property of equality should be used with the equation c+5=78 to solve?
Answers
Answer:
the subtraction property of equality
Step-by-step explanation:
We use the "subtraction property of equality" to solve for the unknown in the equation:
c + 5 = 78
subtract 5 from both sides:
c + 5 - 5 = 78 - 5
c = 73
The area of a triangular-shaped rug is 12 square yards and the height is 3 yards. Find the base.
A. 4 yd
B. 16 yd
C. 10 yd
D. 8 yd
Answers
Answer: d.8
the answer is d 8ndndinwidnwidnwidnwidnwiud
The school librarian ordered 180 books. The order included 36 history books, 62 science books , and 34 English books.
Answers
Answer:
whats the question?
Step-by-step explanation:
12.) Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Pleaseee helppp
Answers
Answer:
Step-by-step explanation:
Given Parallel lines Converse
a. ∠13 ≅ ∠17 a║c Corresponding angles
b. ∠4 ≅ ∠9 d║e Exterior alternate angles
c. m∠20 + m∠21 = 180° a║b Consecutive interior angles
d. ∠8 ≅ ∠19 Vertical angles
e. ∠10 ≅ ∠23 b║c Interior alternate angles
f. m∠14 + m∠17 = 180° a║c Consecutive interior angles
From the given diagram and information, it can be concluded that lines a, b, and c are parallel, and lines d and e are parallel.
The given lines in the diagram are a, b, c, d, and e.
a. It is given that the measure of angle 13 is equal to that of angle 17.
Now, these two angles are made by lines a, c, and d. Now, the angles are corresponding and equal, and hence, lines a and c will be parallel.
b. It is given that the measure of angle 4 is equal to that of angle 9.
These two angles are made by lines d, e, and b. Now, the angles are alternate exterior and equal, and hence, lines d and e will be parallel.
c. It is given that the sum of the measure of angles 20 and 21 is equal to 180 degrees.
These two angles are made by lines a, b, and e. Now, the angles are supplementary and their sum is 180 degrees, and hence, lines a and b will be parallel.
d. It is given that the measure of angle 8 is equal to that of angle 19.
These two angles are vertically opposite angles between lines a and e.
e. It is given that the measure of angle 10 is equal to that of angle 23.
These two angles are made by lines b, c, and e. Now, the angles are alternate interior and equal, and hence, lines b and c will be parallel.
f. It is given that the sum of the measure of angles 14 and 17 is equal to 180 degrees.
These two angles are made by lines a, c, and d. Now, the angles are supplementary and their sum is 180 degrees, and hence, lines a and c will be parallel.
Therefore, it can be concluded that lines a, b, and c are parallel, and the lines d and e are parallel.
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