The dimensions that will minimize the cost of the metal to manufacture the can is r = 5.42 dm and h = 10.84 dm.
To minimize the cost of the metal to manufacture the can, minimize the surface area of the can. The surface area of a cylinder can be found using the formula 2πr(r + h) where r is the radius and h is the height.
The volume of the cylinder is given by the formula πr²h, and it is known that it needs to be equal to 1000 l or 1000 cubic dm.
Set the volume equation equal to 1000 and rearrange it in terms of r.
πr²h = 1000 cubic dm
h = 1000/(πr²)
Substitute this value of h back into the surface area equation and minimize it with respect to r.
2πr(r + h) = 2πr(r + 1000/(πr²))
To minimize the surface area, take the derivative of this expression with respect to r and set it equal to zero, then solve for r.
d(2πr(r + 1000/(πr²)))/dr = 0
d(2πr² + 2000πr/(πr²))/dr = 0
d(2πr² + 2000/r)/dr = 0
4πr - 2000/r² = 0
4πr = 2000/r²
r³ = 2000/4π
r = ∛(500/π)
r = 5.42 dm
Substitute it back into the equation for h and find the corresponding value of h.
h = 1000/(πr²)
h = 1000/(π(∛(500/π))²)
h = 10.84 dm
So, the dimensions that will minimize the cost of the metal to manufacture the can are r = 5.42 dm and h = 10.84 dm.
Learn more about cylinder here: https://brainly.com/question/9554871
#SPJ4
Please help meee I need this
Answer:
TS
Step-by-step explanation:
QT≅TS because QS is bisected by PR
Use the slope formula to find the missing coordinates (-6,0),(1,y);m=8/7
Answer:
8
Step-by-step explanation:
y=mx+b
m=slope=change in y divided by change in x
change in y=y-0
change in x=1--6
y/7=8/7
so y=8
given stw bfn find each missing measure
The missing measures in the given triangles are,
BN = 9 cm
TW = 14 cm
BF = 12 cm
m ∠W = 82°
m ∠B = 67°
m ∠F = 31°
What is isomorphic triangles?
The triangulations of two simple polygons, Tp and Tq, are referred to as isomorphic (or occasionally compatible) if an isomorphism exists between the vertices of P and Q, and the isomorphism has the property that three vertices of P form a triangle in Tp if and only if the mapping of the three vertices in Q also form a triangle in Tq.
Given: ΔSTW ≅ ΔBFN
We have to find the missing measure.
As the triangles are isomorphic.
⇒ All sides and angles of two triangles are same.
⇒ ST ≅ BF, TW ≅ FN, SW ≅ BN
∠S ≅∠B, ∠T ≅ ∠F, ∠W ≅ ∠N
As SW = 9 cm ⇒ BN = 9 cm
As FN = 14 cm ⇒ TW = 14 cm
As ST = 12 cm ⇒ BF = 12 cm
As m ∠N = 82° ⇒ m ∠W = 82°
As m ∠S = 67° ⇒ m ∠B = 67°
Now m ∠F = 180° - 67° - 82°
⇒ m ∠F = 31°
Hence, the missing measures in the given triangles are,
BN = 9 cm
TW = 14 cm
BF = 12 cm
m ∠W = 82°
m ∠B = 67°
m ∠F = 31°
Complete question:
Complete question is attached below.
Patrick is collecting data on shoe size. What type of data is this? Select the correct answer below:
A. qualitative data
B. discrete quantitative data
C. continuous quantitative data
D. none of the above
B. discrete quantitative data is correct answer.
Because shoe size may only take on specific values, such as 5, 5.5, 6, 6.5, etc., it is a discrete type of quantitative data.
Discrete refers to anything unique or separate. The values that fall under integers or whole numbers are contained in the discrete data. Discrete data include things like the overall number of students in the class. There is no way to convert these data into decimal or fractional values. The discrete data cannot be subdivided because they are countable and have finite values. Typically, a bar graph, number line, or frequency table is used to depict these data.
The number of needle sticks, the number of pregnancies, and the number of hospitalizations are a few examples of discrete quantitative variables.
know more about quantitative data here
https://brainly.com/question/14810759#
#SPJ4
What is the scale factor?
The scale factor is 3. The segment JA' is a transformation of JA.
What is the scale factor?
A scale factor is defined as the ratio of the scale of a given original object to the scale of a new object that is its representation but of a different size (bigger or smaller). For example, we can enlarge a rectangle with sides of 2 cm and 4 cm by multiplying each side by a number, say 2.
The unit of scale factor is unitless.
Given that the length of the segment JA is 7 in. and the line segment JA' is 21 in.
The ratio of the final length and the original length is the scale factor.
Therefore, JA'/JA = 21/7 = 3
To learn more about dilate of a line segment, click on the below link:
https://brainly.com/question/15443291
#SPJ1
6. a bus starts with 5 people and stops at 7 different stops. assume that passengers are equally likely to depart at any stop, no new passengers enter the bus, and all passengers eventually leave the bus. (a) in how many ways can these 5 people leave the bus? (b) find the probability that no two passengers leave at the same bus stop. (c) find the probability at two (or more) passengers get off at the same stop.
Probability refers to potential. It is a field of mathematics that examines how random events occur.
What is probability in maths?The area of mathematics known as probability deals with numerical terms of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events.Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.Given data :
Let us break down the problem and first look at the situation.
a ) Out of 7 stops 5 peoples can depart any of the stop. So the possible outcomes is 7
b) the probability that no two passengers leave at the same bus stop, we have to pick 2/5 out of 7 possibilities.
c ) Multiple passengers can get down at a stop, or none may get down at a stop.
The number of possibilities 1 passenger can alight, given there are 7stops: 7C1 = 7.
Since there are 5 such passengers, with each of them having 7 possibilities, we multiply the number of possibilities = 7 x 7 x 7 x 7 x 7 = 7^5
Thus, the number of ways these 5 people can leave the bus is 7^5.
Learn more about Probability refer to :
https://brainly.com/question/24756209
#SPJ4
What is the distance of (- 3/5 from y-axis?
The distance of the given point ( -3 , 5 ) from y - axis is equal to 3 units in the left direction ( negative x-axis).
As given in the question,
Given coordinates points in the coordinate plane is given by :
( - 3 , 5 )
Let us consider a horizontal line with the given coordinates on y - axis.
Coordinates on y-axis of the horizontal line are:
( 0 ,5 )
Distance between ( -3 ,5 ) and ( 0 , 5 ) is equal to :
= √ ( 5 - 5)² + ( 0 -(-3))²
= √ 9
= ±3
(-3,5) is in the second quadrant which is in the left direction of y-axis.
Therefore, the distance between the given point and y-axis is given by 3 units in the left direction.
The above question is incomplete , the complete question is :
Find the distance of the point (-3,5) from y-axis.?
Learn more about distance here
brainly.com/question/15172156
#SPJ4
What is the domain and range for this function?
The domain of this function is {-2, 2, -4, 4} and the range of this function is {-2, 0}.
What is the domain and range of the function?
The domain of a function is the set of all possible input values (x-values) for which the function is defined. It is the set of all values for which the function produces a valid output (y-value). In other words, it is the set of all x-values that can be plugged into the function without causing an error.
The range of a function is the set of all possible output values (y-values) that the function can produce, given any input value from the domain. It is the set of all possible y-values that can be obtained by plugging different x-values from the domain into the function.
The domain and range of a function is the set of all possible input and output values of the function.
In this case, the function is represented by a set of ordered pairs (-2 , -2) (2 , -2) (-4 , 0) (4 , 0).
The domain of the function is the set of all possible x-values which are: -2, 2, -4, 4.
The range of the function is the set of all possible y-values which are: -2, 0.
Hence, the domain of this function is {-2, 2, -4, 4} and the range of this function is {-2, 0}.
To learn more about the domain and range of the function, Visit
https://brainly.com/question/10197594
#SPJ1
Zendaya is going to invest $330 and leave it in an account for 19 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest hundredth of a percent, would be required in order for Zendaya to end up with $1,060?
Answer:
We know that Zendaya is going to invest $330 and leave it in an account for 19 years, and she wants to end up with $1,060 after 19 years.
The interest is compounded quarterly, which means that the interest is added to the principal and then becomes part of the new principal four times a year.
To find the interest rate, we can use the formula:
A = P(1 + r/n)^(nt)
Where A is the final amount, P is the principal, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
We can re-arrange the formula to get the interest rate
r = (A/P)^(1/nt) - 1
We can plug in the known values:
r = (1060/330)^(1/19*4) - 1
r = 1.0920 - 1 = 0.0920 or 9.20%
To the nearest hundredth of a percent the interest rate is 9.20%
The rate of compound interest is given by R = 6.189 %
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the rate of interest be represented as R
Let the principal amount be P = $ 330
Let the number of years be T = 19 years
Now , the amount after 19 years is A = $ 1060
where the compound interest is done quarterly
So , R = n [ ( A / P ) 1 / nt - 1 ]
On simplifying , we get
R = 4 x [ ( 1,060.00 / 330.00 ) 1 / ( 4 ) ( 19 ) - 1 ]
R = 0.0618912
Multiply by 100 , we get
R = 6.189 %
Hence , the rate of interest is 6.189 %
To learn more about compound interest click :
https://brainly.com/question/21270833
#SPJ2
1,000,000,000 times 800,000
a rug is made by weaving 24 lb of yarn that is 50% wool with a yarn that is 15% wool. how many pounds of the yarn that is 15% wool must be used if the finished rug is to be 36% wool?
16 pounds of the yarn that is 15% wool must be used if the finished rug is to be 36% wool.
We know that the rug is made by weaving 24 lb of yarn that is 50% wool and with a yarn that is 15% wool.
The percentage of wool in the final rug is 36%.
Let's call the weight of yarn that is 15% wool as x.
We know that the total weight of wool in the final rug is (24*50%)+(x*15%) = 0.36(24+x)
We know that the final rug is 36% wool and we can write the equation as:
(24*50%)+(x*15%) = 0.36(24+x)
Simplifying the equation:
12 + 0.15x = 0.36(24+x)
0.15x = 0.36(24+x) - 12
0.15x = 8.64 + 0.36x - 12
0.21x = 8.64 - 12
x = 8.64 - 12 / 0.21
x = 16 pounds
Therefore, 40 pounds of the yarn that is 15% wool must be used if the finished rug is to be 36% wool.
Read more about Percentage:
https://brainly.com/question/28998211
#SPJ4
(02.01 LC)
For a certain industry, the mean annual salary rose from $68,860 to $71,350. Calculate the percent of increase. Round to the nearest
tenth.
3.6%
3.5%
3.7%
3.4%
$52,000 times 3.0 equals a yearly raise of $1,560.
What is the formula for percentage?We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.
Work out the difference (reduction) between the two numbers you are comparing before calculating the percentage drop. Then, increase the result by 100 after dividing the decrease by the initial number. The outcome expresses the change as a percentage, or the change in percentage.
What does a 3 percent raise cost?Let's begin with our hypothetical $52,000 employee. According to our calculation, a 3 percent raise would be as follows:
$52,000 times 3.0 equals a yearly raise of $1,560.
To know more about percentage visit:-
brainly.com/question/16797504
#SPJ1
Which fraction is equal to 53/?
0 120
4
15
4
23
4
53
4
I need help
23/4 is the correct answer for your question
Answer:
[tex]\frac{23}{4}[/tex]
Step-by-step explanation:
First, since the fraction part of 5 3/4 ( 3/4 ) the denominator or the bottom number will be the bottom of the fraction.. :
[tex]\frac{x}{4}[/tex]
Now lets multiply 5x4=
20…
Now remember that the original number was 5 3/4, well since there was a 3 on top of the 4 ( or the numerator ) were gonna add:
20+3=
23…
Put 23 on top of 4..
[tex]\frac{23}{4}[/tex]
Boom! There you go!
The graph shows two options to buy tickets for amusement park rid
Julie can pay $12 for a daily pass or she can pay $1.50 per ride. For
number of rides is the cost of both options the same?
st (in dollars)
15
54322
14
13
12
11
10
D
87
Ticket Options
Pay per Ride
Daily Pass
Answer:
8
Step-by-step explanation:
Julie can pay a ONE TIME fee of 12 or pay $1.50 per ride. And it asks the cost of what number of rides equals the one time fee daily pass
so u do
1.50x=12
x=8
“
law of exponents on edge
Answer:
[tex] {2}^{12} [/tex]
Step-by-step explanation:
[tex] {16}^{3} \\ = (2 \times 2 \times 2 \times 2) ^{3} \\ = ( {2}^{4} {)}^{3} \\ = {2}^{4 \times 3} \\ = {2}^{12} [/tex]
Hope it helps.
If you have any query, feel free to ask.
The McMichael family is going to the movies to see Sing 2. Every ticket costs the same price and they spend a total of $100. If 8 people attend the movie, what is the cost per ticket?
The McMichael paid cost per ticket of $12.5 to see sing 2
What is an equation?An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.
Let x represent the cost of each ticket.
Every ticket costs the same price and they spend a total of $100. 8 people attended, hence:
8 * x = 100
8x = 100
Dividing both sides of the equation by 8:
8x / 8 = 100 / 8
x = 12.5
The cost per ticket was $12.5
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Parallel lines, transversal, and algebra really need help
Parallel lines are two or more lines in a plane that never intersect.
A transversal is a line that intersects two or more lines.
Algebra is the branch of mathematics that studies the rules of operations and relations and the constructions and concepts arising from them.
Relationships between Parallel Lines, Transversal and AlgebraWhen two parallel lines are intersected by a transversal, various geometric relationships between the angles of the transversal and the lines can be observed. This leads to algebraic equations that can be used to describe and solve problems related to these relationships. For example, the angles of the transversal that form opposite angles with the parallel lines can be used to calculate the measure of the angles formed by the parallel lines themselves.
Learn more about Algebra: https://brainly.com/question/22399890
#SPJ4
please answer the questions that are in the 2 blanks
Answer:
A) 460+62x=1142
B) 11
Step-by-step explanation:
B: To find the answer you have to subtract 460 from 1142. And the divide the result by 62 to get your answer.
What is the ratio in which the line segment joining the points A 3 3 and B 27?
The ratio of the line segment joining the given points A(3,−3) and B(−2,7) which was divided by x-axis is equal to 3 : 7.
As given in the question,
Line segment formed by joining the given points :
( x₁ , y₁) = ( 3, -3)
( x₂ , y₂ ) = ( -2, 7)
Let the ratio that divides the line segment by x - axis be m : n
On x-axis coordinates are ( x, 0)
( x, 0 ) = [ (mx₂ + nx₁)/(m + n) , (my₂ + ny₁)/(m + n) ]
⇒ (x, 0) = [ (-2m + 3n)/(m + n) , (7m -3n)/(m + n) ]
⇒ (7m -3n)/(m + n) = 0
⇒ 7m -3n = 0
⇒ m : n = 3 : 7
Therefore, the ratio divides the line segment formed by joining the given points by x-axis is equal to 3 : 7.
The above question is incomplete, the complete question is :
What is the ratio in which the line segment joining the points A(3,−3) and B(−2,7) is divided by x-axis ?
Learn more about ratio here
brainly.com/question/13419413
#SPJ4
In standard form, write the equation of the line through (3,2) that is a parallel to
y= -1/5x - 3
The equation for parallel line is equation is y= -1/5x - 9/2.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Passing point (3, 2) and equation is y = -1/5 x - 3.
First, the slope of given equation is m = -1/5.
Now, the parallel line will have same slope as m= -1/5.
Then, using slope intercept form
y= mx + b
2 = -1/5(2)- b
2 + 5/2 = -b
-b = 9/2
b= -9/2
Hence, the equation is y= -1/5x - 9/2.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ1
A newspaper reporter asked an SRS of 100 residents in a large city for their opinion about the mayor's job performance. Using the results from the sample, the C% confidence interval for the proportion of all residents in the city who approve of the mayor's job performance is 0.565 to 0.695. What is the value of C? (a) 82 (b) 86 (c) 90 (d) 95 (e) 99
The value of C is 95. This is because the 95% confidence interval for the proportion of all residents in the city who approve of the mayor's job performance is 0.565 to 0.695.
To calculate the confidence interval, the formula is used:
CI = p +/- Z * √(p(1-p)/n)
Where p is the proportion of all residents in the city who approve of the mayor's job performance from the sample, Z is the critical value, and n is the sample size.
In this case, p = 0.63, n = 100, and Z is the critical value associated with a 95% confidence interval, which is 1.96.
Plugging these values into the formula, we get:
CI = 0.63 +/- 1.96 * √(0.63(1-0.63)/100)
This yields a confidence interval of 0.565 to 0.695, so the value of C is 95.
Learn more about confidence interval here:
https://brainly.com/question/24131141
#SPJ4
How does the central idea of a story differ from its theme?(1 point) Responses The central idea does not convey a universal message. The central idea does not convey a universal message. The central idea cannot be repeated across cultures. The central idea cannot be repeated across cultures. The central idea focuses on a message about life. The central idea focuses on a message about life. The central idea can apply to other stories. The central idea can apply to other stories.
Answer: The central idea does not convey a universal message.
Step-by-step explanation:
The central idea is exactly what it is the overall idea of the text. The theme is the message the author is trying to convey.
Hope this helps!
Determine which of the lines, if any, are parallel. Explain.
Line a: 4y +x=8
Line b: 2y + x = 4
Line c: 2y = -3x + 6
; The slopes are
The lines are not parallel because the slope of the lines are not the same
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Line a : 4y + x = 8 be equation (1)
On simplifying the equation , we get
Subtracting x on both sides of the equation , we get
4y = -x + 8
Divide by 4 on both sides of the equation , we get
y = -x/4 + 2
So , the slope of the line a is m = -1/4
Line b : 2y + x = 4 be equation (2)
On simplifying the equation , we get
Subtracting x on both sides of the equation , we get
2y = -x + 4
Divide by 2 on both sides of the equation , we get
y = -x/2 + 2
So , the slope of the line a is m = -1/2
Line c : 2y = -3x + 6 be equation (3)
On simplifying the equation , we get
Divide by 2 on both sides of the equation , we get
y = -3x/2 + 3
So , the slope of the line a is m = -3/2
Now , the slopes of the lines are not same
Hence , the lines are not parallel
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ1
Square PQRS with vertices P(-5, 4), Q(2, 8), R(6, 1), and S(-1, -3): <2, -4>.
P Q R S, a square with the vertices P (5, 4), Q (2, 8), R (6, 1), and S (-1, -3), is equal to 2, -4. Consequently, S"s coordinates will be ( 1 , 3 ).
What is the pre-image of the points ?The vertex positions of the square P Q R S are P(-5, 4), Q(2, 8), R(6, 1), and S(-1, -3). The rule to rotate a point by 180 degrees about the origin is (x, y) → (-x, -y) This rule dictates that the image's new coordinates are P(-5, 4) ⇒ P' ( 5 , -4 ) , Q(2, 8) ⇒ Q' ( -2 , -8 ) , R(6, 1) ⇒ R' ( -6 , -1 ) , S(-1, -3) ⇒ S' (1 , 3 )
Consequently, S"s coordinates will be ( 1 , 3 ).
pre-images, singular pre-images (mathematics) The set of all domain elements that are mapped into a certain subset of the co-domain for a given function;ƒ : X → Y and a subset B ⊆ Y, the set ƒ−1(B) = {x ∈ X : ƒ(x) ∈ B}.
To learn more about pre-image refer to :
https://brainly.com/question/17305122
#SPJ1
Evaluate the difference quotient for the given function. Simplify your answer. f(x)= x + 3/x + 1, f(x) - f(1)/x - 1
The difference quotient is: (f(x) - f(1)) / (x - 1) = (x + 3/x + 1 - (1 + 3/1 + 1)) / (x - 1) = (x + 3/x + 1 - 4/2) / (x - 1) = (x + 3 - 2x) / (x^2 - x - 2).
The difference quotient is a way to approximate the rate of change of a function at a given point. To evaluate the difference quotient for a given function, we need to take the ratio of the change in the function's output to the change in its input.
Given the function f(x) = x + 3/x + 1, the difference quotient is:
(f(x) - f(1)) / (x - 1) = (x + 3/x + 1 - (1 + 3/1 + 1)) / (x - 1) = (x + 3/x + 1 - 4/2) / (x - 1) = (x + 3 - 2x) / (x^2 - x - 2)
This is the simplified form of the difference quotient.
Solve more problems on difference quotient for the function at : https://brainly.com/question/24554649
#SPJ4
Find the midpoint of the segment with the following endpoints.
(-3, -3) and (1, 2)
Answer:
Hi!
midpoint formula x1+x2/2 , y1+y2/2
now by subsituting the values
-3+1/2 , -3+2/2
the coordinates of midpoint are (x,y) = (-1,-1/2)
Nathaniel has 8,640 ears of corn. A bushel of corn contains between 40-60 ears of corn. How many more bushels of corn will Nathaniel have if each uses 40 ears of corn as his measurement than if he uses 60 ears of corn as his measurement?
please hurry its timed!
71 more bushels of corn will Nathaniel have if each uses 40 ears of corn as his measurement than if he uses 60 ears of corn as his measurement.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Nathaniel has 8,640 ears of corn.
First, the bushel have 40 ears of corn then number of bushels required
= 8460/40
= 212
Second, the bushel have 60 ears of corn then number of bushels required
= 8460/60
= 141
So, the difference is = 212- 141 = 71
Hence, 71 more bushels of corn will Nathaniel have in comparison.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ1
What is a system of three equations with no solution?
The required explanation to deal with system of three equations with no solution is described.
What is the system of three equation?By employing a series of steps that compels one variable to be deleted, a system of three equations in three variables can be solved. Change the order of the equations, multiply both sides of an equation by a nonzero constant, and combine a nonzero multiple of one equation with another equation are the steps in this process.
According to question:I) The system is said to be consistent and will have infinite solutions if the values of x, y, and z in terms of t fulfil the third equation.
(ii) The system is considered to be inconsistent and will not have a solution if the values of x, y, and z do not meet the third equation.
To know more about Equation visit:
brainly.com/question/649785
#SPJ4
A plumber is cutting pieces of pipe that are 3.36 meters long. The pipe must be within 0.09 meters of the required length. Write and solve an absolute value inequality to find the range of the length of pipe.
The inequality equation for the length of the pipe is |x - 3.36| ≤ 0.09, and the range varies from 3.27 ≤ x ≤ 3.45.
What is linear inequality?According to the mathematical definition of inequality, neither side is equal. When a relationship leads to a non-equal comparison between two expressions or numbers, it is known as an inequality in mathematics. The equal sign "=" in this statement can be replaced with any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠).
Given the length of the pipe = 3.36 meters
The pipe must be within 0.09 meters
Let x represent the length of the pipe,
inequality equation,
|x - 3.36| ≤ 0.09
case 1: x - 3.36 ≤ 0.09
x ≤ 3.45
Case 2: x - 3.36 ≥ -.09
x ≥ 3.27
range varies from 3.27 ≤ x ≤ 3.45.
Hence the equation is |x - 3.36| ≤ 0.09 and range is 3.27 ≤ x ≤ 3.45.
Learn more about linear inequality;
https://brainly.com/question/11897796
#SPJ1
Alicia found a coupon in the paper for 25% of new jeans our favorite clothing store when she gets to the store to make her purchase she finds out the Pacific pair of jeans she wants is already on sale for 10% off if the original price of jeans is 48. 99 how much will she pay after applying the discount