The diameter is twice the radius, so it is decreasing at a rate of [tex]$2(1.26 \times 10^{-2} \ \text{cm}/\text{hr}) = \boxed{2.52 \times 10^{-2} \ \text{cm}/\text{hr}}$[/tex]
The volume of the grindstone is [tex]$\pi r^2 h = \pi \cdot 100^2 \cdot 10 = 3141600 \ \text{cm}^3$[/tex], so the rate at which it is wearing away is [tex]$\frac{50}{3141600} = 1.59 \times 10^{-4} \ \text{cm}^3/\text{hr}$[/tex]
The grindstone is a cylinder, so its volume is proportional to its radius squared. Therefore, the radius is decreasing at a rate proportional to [tex]$\sqrt{1.59 \times 10^{-4}} = 1.26 \times 10^{-2} \ \text{cm}/\text{hr}$[/tex].
The diameter is twice the radius, so it is decreasing at a rate of [tex]$\sqrt{1.59 \times 10^{-4}} = 1.26 \times 10^{-2} \ \text{cm}/\text{hr}$[/tex].
A diameter is a line segment that passes through the centre of a circle or other curved shape and has its ends at the circumference. The length of a diameter is twice the length of the radius of the circle. A radius is a line segment joining the centre of a circle or other curved shape to any point on its circumference. The length of a radius is half the length of the diameter of the circle. Both the diameter and radius are fundamental measurements in determining the size and shape of a circle or other curved shape.
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The diameter of the grindstone is decreasing at a rate of 5/(πr) cm/hr.
Therefore the answer is b) 5/ (πr) cm/hr.
The grindstone is losing material at a rate of 50 cm³/hr, and since it is a cylinder, we can use the formula for the volume of a cylinder to find the rate at which its diameter is decreasing.
The volume of a cylinder is given by:
[tex]V= \frac{ \pi D^{2} h}{4}[/tex]
where V is the volume, d is the diameter and h is the height (in this case the thickness of the grindstone).
We know that the grindstone is losing material at a rate of 50 cm³/hr, and that the grindstone's thickness is 10 cm. To find the rate at which the diameter is decreasing, we need to find the rate at which the radius is decreasing, which we can find by differentiating the volume equation with respect to time.
So
[tex]\frac{dV}{dt} = -50\ cm^{3}/hr[/tex]
[tex]\frac{d(\frac{\pi\\D^{2}h }{4}) }{dt} = -50\ cm^{3}/hr[/tex]
[tex]\frac{2}{4}\pi Dh\frac{dD}{dt} = -50\ cm^{3}/hr[/tex]
Substitute the known values,
[tex]\frac{2}{4}\pi *(D)*(10cm)\frac{dD}{dt} = -50\ cm^{3}/hr[/tex]
[tex]\frac{dD}{dt}= (-50 cm^3/hr)*\frac{4}{2\pi *(D cm)*(10 cm)}[/tex]
[tex]\frac{dD}{dt}= \frac{-10}{\pi D}cm/hr[/tex]
We know D = 2r
[tex]\frac{dD}{dt}= \frac{-10}{\pi*(2r)}cm/hr[/tex]
[tex]\frac{dD}{dt}= \frac{-5}{\pi r}cm/hr[/tex]
--The question is incomplete, answering to the question below--
"A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of 50 cm³/hr. At what rate is it's diameter decreasing?
a. 5/ (2πr) cm/hr
b. 5/ (πr) cm/hr
c. 5/ (2π) cm/hr
d. 5/ π cm/hr"
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PLEASE HELP MARKING BRAINLIEST!!!
A horizontal number line is given.
A number line that starts at negative four with tick marks every one half unit up to positive four. The values of negative three halves and positive three halves are labeled.
How do the two values plotted compare, and what is their relationship to zero?
The values are opposites of each other and have different distances to zero.
The values are opposites of each other, and their distance to zero is three halves units.
The values are the same, and their distance to zero is three halves units.
The values are the same, and their distance to zero is negative three halves unit
The two values on the number line are of opposite values, and have a distance of three halves units to zero. Thus option B.
Number Line.A number line is a system in which the position of a directed number is located. It extends from negative infinity to positive infinity, thus all numbers can be located on a number line.
A directed number is any type of number which has either a negative or positive sign i.e its direction.
Considering the values given in the question, it can be deduced that;
i. Both values are opposite of each other because of the negative and positive signs (i.e their directions)
ii. The two values are at a distance of one and a halve to the zero point. So that;
one and a halve = 1 1/2
= 3/2
Thus both values are at a distance of three halves to zero.
Therefore, the correct option is B. The values are opposites of each other, and their distance to zero is three halves units.
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How do you write the domain for FX?
The domain of a function is the set of all possible inputs for the function.
Let us consider y as our function.
Therefore y = f(x) ( since given )
let y = f(x) be a function with an independent variable x and a dependent variable y. Here x is being considered as an independent variable since we can give any input which is x and y is a dependent since it is the output dependent on the output value x.
If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.
If x can be taken as any value as the function is not specified then the domain of f is (−∞,∞).
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Adriana arranges 5 square carpet tiles in a row to cover a rectangular walkway. If the total area of the carpeted walkway is 45 square feet, what is the length of the walkway in feet?
The length of the walkway in feet is 15.
The area of a square.Any plane shape that has four equal length of sides is referred to as a square. Its area is the amount of space that it covers in a 2 dimensional plane. And the area of a square is given as;
area of a square = length x length
= length^2
It is measured in squared units.
Given that there are 5 square carpet tiles which covered an area of 45 square feet, then the area of one square carpet tile is;
area of one square carpet tile = total area covered/ number of tiles
= 45/ 5
area of one square carpet tile = 9 square feet
But,
area of a square = length^2
9 = length^2
length = 3 feet
So that,
length of the walkway = 5 x 3
= 15 feet
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A motorboat travels kilometers in hours going upstream and kilometers in hours going downstream. What is the rate of the boat in still water and what is the rate of the current
The rate of the motorboat in still water is 49 km/hr. The rate of the current is 6 km/hr.
We have, A motorboat travels 258 km in 6 hours going upstream. It travels 330 km going downstream in the same amount of time. We have to calculate the rate of the boat in still water and the rate of the current. Let the speed of the boat in still water and rate of stream be "B" and "S" respectively.
Using the relative speed formula , the speed upstream is B - S and the speed downstream is B + S.
Use the distance , in speed/rate formula ,
Rate × Time = Distance
Upstream : (B-S)6 = 258
=> B - S = 43 --(1)
Downstream: (B+S)6 = 330
=> B + S = 55 --(2)
Solve the linear equations by elimination method. Add the two equations.
=> 2B = 98
=> B = 49 km/hr
Substitute this value of B in equation(2) and solve for S, B+S = 55
=> 49+S = 55
=> S = 6 km/hr
So, the rate of the current is 6 km/hr.
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Complete question:
A motorboat travels 258 km in 6 hours going upstream. It travels 330 km going downstream in same amount of time. What is the rate of the boat in still water and what is the rate of the current.
How many solutions does the system of linear equations represented in the graph have? Coordinate plane with one line that passes through the points negative 2 comma negative 5 and 0 comma negative 4 and another line that passes through the points 0 comma 1 and 1 comma negative 1. One solution at (2, −3) One solution at (−3, 2) No solution Infinitely many solutions
The number of solutions that the system of equations has is given as follows:
One solution at (2, −3).
How to obtain the number of solutions?The first step in obtaining the number of solutions of the system of equations is obtaining the linear function that represents each line.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope.b is the y-intercept.The first line goes through these following points:
(-2,-5) and (0,-4).
The slope is given by change in y divided by change in x, hence:
(-4 - (-5))/(0 - (-2)) = 1/2 = 0.5.
When x = 0, y = -4, hence the intercept is of b = -4 and the function is given as follows:
y = 0.5x - 4.
The second line goes through these following points:
(0,1) and (1,-1).
Hence the slope is of:
m = (-1 - 1)/(1 - 0) = -2.
The intercept is of b = 1, and the equation is given as follows:
y = -2x + 1.
Hence the solution is obtained as follows:
-2x + 1 = 0.5x - 4.
-2.5x = -5.
x = 2.
Hence the y-coordinate of the solution is given as follows:
y = -2(2) + 1 = -3.
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Please help with this problem, thanks.
The absolute value function on the graph is the one in option D.
y = |x| + 1
Which function is the graphed one?On the graph we can see an absolute value function that has a vertex at (0, 1) and a slope of 1.
Remember that an absolute value function with a slope of 1 with a vertex at (h, k) can be written as.
y = |x -h| + k
So, knowing that the vertex is at (0, 1) we conclude that the absolute value function is:
y = |x| + 1
Thus the correct option is D.
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For a lower tail test, the test statistic z is determined to be zero. The p-value for this test is
a +.5.
b -.5.
c zero.
d 1.
The p-value for a lower tail test with a test statistic z of zero is 1, meaning that the probability of obtaining a result at least as extreme is 100%.
The lower tail test is a type of hypothesis test used to determine if a sample of data comes from a population with a certain mean or below. The test statistic z is used to calculate the p-value of the test, which is the probability of obtaining a result at least as extreme as the one observed. In this case, the test statistic z is zero, so the p-value of the test is 1, meaning that the probability of obtaining a result at least as extreme is 100%. To calculate this, the z-score is determined by subtracting the mean of the population from the sample mean and dividing by the standard deviation of the population. Then, the cumulative probability is calculated by finding the area under the normal distriabution curve from negative infinity to the z-score obtained from the calculation. The p-value is then equal to the cumulative probability. In this case, the p-value is 1 since the z-score is zero.
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the graph represents
On solving the provided question we can say that from the graph the value of the equation y = 4x^2 will 256.
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
here,
from the graph,
equation is = y = [tex]4x^2[/tex]
and x = 8
so, y = 256
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D) 3-2 (s-1) = 13+6s
Answer: -1
E) 2 (n+9) = -6 (2n-5) +8
Answer: 10/7
F) 5 (4k-3) -5k = 10+2 (3k+1)
Answer: 3
Explain how u got answer
The solutions to each equality are given as follows:
D) s = -1.
E) n = 10/7.
F) k = 3.
How to solve the equalities?The expressions are solved applying the distributive property when needed, then combining the like terms, and finally isolating the variable.
The solution for item d is given as follows:
3 - 2s + 2 = 13 + 6s -> Distributive property.
8s = 5 - 13 -> Combine the like terms.
8s = -8
s = -8/8
s = -1.
The solution for item e is given as follows:
2(n + 9) = -6(2n - 5) + 8
2n + 18 = -12n + 30 + 8 -> Distributive property.
14n = 20 -> Combine the like terms.
n = 20/14
n = 10/7.
The solution for item f is given as follows:
5(4k - 3) - 5k = 10 + 2(3k + 1)
20k - 15 - 5k = 10 + 6k + 2
15k - 15 = 12 + 6k
9k = 27
k = 27/9
k = 3.
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ou observe Alice's demeanor and other than looking very tired, she seems very coherent. You review the prescriptio below. Are there any red flags with this prescription? (Select all that apply). Select the image below to magrury. To return to the assessment question, select any area OUTSIDE of the mage O No, the prescription is valid and should be filled right away. O Yes, Alice is too old for this prescription and should be prescribed something else. O Yes, the writing on the prescription seems inconsistent making it suspicious. O Yes, the doctor does not live in the same geographical location as Alice. Submit acer Firefox (3)
The red flags in the prescription are;
Alice is too old for this prescription and should be prescribed something else. The writing on the prescription seems inconsistent making it suspicious. What is a prescription?We know that the term prescription would have to do with the drugs that an individual has been asked to take in a given situation. Usually, when a person is sick, the person would have to go to a doctor to get a prescription.
There may be certain red flags in a prescription and these would have to do with the state of health of the patient that is being given the prescription drugs to taken.
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AB= 6 cm, AC = 12 cm
Calculate the length of CD.
Give your answer to 3 significant figures.
C
4 55°
D
12 cm
B 6 cm
A
Optio
Answer:
108/11*sqrt*3
Step-by-step explanation:
CB=sqrt 108, DBC=90; DCB=35. CAB=60; ACD=65.
I need help with this question please and thank you .
Answer:
Exact answer: Square root of 80
Approximate answer: 8.94
Step-by-step explanation:
The base of a solid is the region in the first quadrant bounded by the y-axis, the graph of y = ????????????-1x, the horizontal line y = 3 and the vertical line x = 1. For this solid, each cross section perpendicular to the x-axis is a square. What is the volume of the solid?
The volume of the solid is 9 cubic units, which is determined by the base in the first quadrant bounded by the y-axis, the graph of y = x-1, the horizontal line y = 3, and the vertical line x = 1. As the cross sections perpendicular to the x-axis are squares, the volume can be calculated.
The volume of the solid can be calculated by finding the area of the base and then multiplying it by the height of the solid. The base of the solid is in the first quadrant and is bounded by the y-axis, the graph of y = x-1, the horizontal line y = 3, and the vertical line x = 1. This region forms a trapezoid, with an area of 6. As the cross sections perpendicular to the x-axis are squares, the height of the solid is 3 units. Thus, the volume of the solid is 6 multiplied by 3, which gives us a total volume of 9 cubic units. To calculate the volume, it is important to identify the base of the solid and the shape of the cross sections perpendicular to the x-axis. This will allow us to calculate the area of the base, and multiply it by the height of the solid to determine the total volume.
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A rocking hi has a weight limit if 60lbs what weight is 95% of the limit
If a rocking hi has a weight limit if 60lbs .The weight that is 95% of the limit is 33 pounds.
How to find the weight of the limit?First step is to convert the 60lbs to kg
1 pounds to 1 kg = 0.453592
60 pounds = 27.2155kg or 27kg
OR
60 lbs×0.45359237 kg/1 lbs = 27.2155422 kg
Second step is to find the weight of the limit
Weight of the limit = Weight limit - Kilogram
Weight of the limit = 60 -27
Weight of the limit = 33
Therefore we can conclude that the weight of the limit is 33 pounds.
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Avery says the greatest common factor of 12 and 15 is 60. Is Avery Correct? Explain how you know.
Answer:
Incorrect
Step-by-step explanation:
60 is the lowest common multiple of 12 and 15, not the greatest common factor.
The greatest common factor of 12 and 15 is 3, not 60.
A scientist uses a submarine to study ocean life.
She begins at sea level, which is an elevation of 0 feet.
She travels straight down for 74 seconds at a speed of 4.8 feet per second.
She then travels directly up for 27 seconds at a speed of 3.7 feet per second.
At this point, what is her elevation, in feet?
At this point, the scientist's elevation, in feet, is 255.3 feet.
How is the current elevation computed?The scientist's current elevation can be computed as the difference between the down and up distances covered.
Traveling down speed = 4.8 feet per second
The total time used = 74 seconds
The distance covered traveling down = 355.2 feet (74 x 4.8)
Traveling up speed = 3.7 feet per second
The total time taken = 27 seconds
Distance traveling up = 99.9 feet (3.7 x 27)
The difference in distances = 255.3 feet (355.2 - 99.9)
Thus, we can conclude that currently, the scientist is 255.3 feet below sea level.
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evaluate the iterated integral by converting to polar coordinates. a 0 0 2x2y dx dy − a2 − y2
A. The result of the iterated integral by converting to polar coordinates is 0.
To evaluate this iterated integral, we will convert it to polar coordinates. First, we need to make the substitution x = rcos(θ) and y = rsin(θ). Then, we will need to find the limits of integration for r and θ. The region of integration is the area between the circles with radii a and 2 and between the x-axis and y-axis.
In polar coordinates, the integral becomes ∫∫r dr dθ from r = a to r = 2, and θ = 0 to θ = π/2.
We can now solve the integral by multiplying the integral of r by the integral of θ.
∫2^2 r dr dθ = ∫π/2^0 (-1/2)r^3 dθ = -1/2 * [(r^2)/2] from r = 2 to r = a = -1/2*(2^2 - a^2) = -1/2*(4-a^2) = -2+a^2/2
So the result of the integral is -2+a^2/2 = -2+4/2 = -2+2 = 0
Note that this is not a common way to solve iterated integrals, but rather a way to check the correctness of the solution. The common way is to find the limits of integration by solving the inequality and graphing the area of integration.
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Helppp!!!!
Solve for N
12/9 = 4/N
Answer:
n=3
Step-by-step explanation:
you must cross multiply
What is the perimeter of a triangle with vertices (-1,1), (-3, -4), and (5,-2)?
The perimeter of the triangle is 21
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.
The perimeter of the triangle is found by adding all the sides
The vertices of the triangle ABC are (-1,1), (-3, -4), and (5,-2). let A be (-1,1), B be (-3, -4) and C be (5,-2).
The distance between And B = √ (-3-(-1))²+( -4-1)²
Line AB = √ 2²+-5²
AB = √ 4+25
AB =√29 = 5.4
line AC = √5-(-1)² + (-2-1)²
AC = √ 6²+3²
AC = √ 36+9
AC = √ 45
AC = 6.7
The distance between B and C = √( -3-5)² + (-4-(-2)²
BC = √ 8²+4²
BC =✓64+16
BC = √80
BC = 8.9
Therefore the perimeter of the triangle is AB+ BC + AC = 5.4+6.7+8.9 = 21
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A student collect data about a toy motorized airplane.
Mass = 4 kg
Time = 3 sec
Height = 5 meters
Velocity = 2 m/sec
Gravity acceleration = 10 m/sec2
What is the potential energy?
Answer:
PEg = 196.2 J
Step-by-step explanation:
PEg = mass * gravitational field* height
PEg = 4kg * 9.81m/s² * 5m
PEg = 196.2 kg m²/s²
What is the expected value of M?
A)
It is the sample mean.
B)
It is the sample standard deviation.
C)
It is the mean of the distribution of sample means.
D)
It is the standard deviation of the distribution of sample means.
The expected value of M is described as C: "it is the mean of the distribution of sample means.
In probability theory, the expected value of M is a generalization of the weighted average. In informal words, the expected value refers to the arithmetic mean of a large sample of independently chosen outcomes of a random variable.
Thus, the mean of the distribution of sample means is referred to as the 'expected value' of M. And it is always equal to the mean μ of the population. So the correct answer pertaining to this question is held in option 'C'.
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A particle, moving along the x-axis,
has a position function of:
x(t) = 14 - 6t³+ 812 +41-6 0≤t≤ 5 sec
At what time does the particle change
direction while in positive acceleration?
The velocity is always negetive for 0≤t≤5 so the particle does not change the direction.
What is Speed, Positon and Accelaretion ?The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second is the accepted unit of velocity magnitude (also known as speed).
A vector that depicts a point P on the line in reference to the origin O is used to represent the location of a particle travelling along a straight line. We write x(t) for the particle's position at time t since it is common to think of a particle's position as a function of time.
The rate of change of the particle's velocity with respect to time is known as its acceleration. A vector quantity is acceleration. When both the magnitude and the direction are altered, it changes.
The particle position is given as :
x(t) = 14 -6t³ + 812 + 41 - 6
The particle velocity is the time rate of change of position :
v(t) = d(x(t)/dt = -18t²
The velocity is always negetive for 0≤t≤5 so the particle does not change the direction.
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Find the distance between (3, 11) and (4, 3). Provide an answer accurate to the nearest tenth.
The distance between coordinates is d = 7.1 units.
What are Cartesian plane?The intersection of two perpendicular lines results in the formation of the cartesian plane, a two-dimensional coordinate plane. The X-axis is the horizontal line, and the Y-axis is the vertical line. The Cartesian coordinate point (x, y) indicates that the distance from the origin is x in the horizontal direction and y in the vertical direction. The point is to the right of the origin if the sign of x is positive; otherwise, it is to the left.
Given coordinates,
(3, 11) and (4, 3)
the distance between coordinates is
d=√((x₂ – x₁)² + (y₂ – y₁)²)
here x₁ = 3, x₂ = 4, y₁ = 11 and y₂ = 3
d=√((x₂ – x₁)² + (y₂ – y₁)²)
d=√((4 – 3)² + (4 – 11)²)
d = √(1 + 49)
d = √50
d = 7.0710 units
d = 7.1 units nearest tenth
Hence the distance is d = 7.1 units nearest tenth.
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A survey organization conducted telephone interviews in December 2008 in which 1,009 randomly selected adults in the United States responded to the following question: At the present time, do you think television commercials are an effective way to promote a new product? Of the 1,009 adults surveyed, 676 responded "yes." In December 2007, 622 of 1, 020 randomly selected adults in the United States has responded "yes" to the same question. Do the data provide convincing evidence that the proportion of adults in the United States who would respond "yes" to the question changed from December 2007 to December 2008?
The p-value is less than a chosen significance level (alpha), such as 0.05, we reject the null hypothesis and conclude that there is evidence that the proportion of adults who would respond "yes" to the question changed from December 2007 to December 2008. Otherwise, we fail to reject the null hypothesis.
It is important to note that the sample size and the significance level used to calculate the p-value can affect the result of the test. Additionally, it's important to consider other factors that may have affected the results, such as economic conditions or media coverage.
Hypothesis Test Proportion ChangeTo determine if the proportion of adults in the United States who would respond "yes" to the question changed from December 2007 to December 2008, we need to perform a hypothesis test. The null hypothesis is that the proportion of adults who would respond "yes" to the question did not change from December 2007 to December 2008, and the alternative hypothesis is that the proportion of adults who would respond "yes" to the question did change.
One way to perform the hypothesis test is by using a two-sample proportion test. The test statistic is calculated as:
(p1 - p2) = (676/1009 - 622/1020) = 0.0548
where p1 is the proportion of adults who responded "yes" in December 2008 and p2 is the proportion of adults who responded "yes" in December 2007.
Then, we need to find the p-value for the test statistic, which represents the probability of observing a test statistic as extreme or more extreme than the one calculated if the null hypothesis is true.
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helloooo i need heelpppp pleaseeeeee
Answer:
[tex]21[/tex]
Step-by-step explanation:
[tex]\textrm{If y varies directly with x we can write this relationship as}[/tex]
[tex]y = k \cdot x[/tex]
[tex]\textrm{k is referred to as the constant of proportionality.}[/tex]
[tex]\textrm{Substituting these values into the above equation we get}[/tex]
[tex]3 = k \cdot 2[/tex]
[tex]So\; k = \dfrac{3}{2}[/tex]
[tex]\mathrm{When }[/tex] [tex]x = 14,[/tex]
[tex]y = \dfrac{3}{2} \cdot 14[/tex]
[tex]y = 21[/tex]
HELP PLSSS!!!
Prove the divisibility of the following numbers: 45^45 x 15^15 by 75^30
Answer:
see attached
Step-by-step explanation:
3gh^2 x 4g^3 h^3 what is the answer
Answer: 12, g with exponent 4, h with exponent 5 . (12
g
4
h
5
Brainliest would be much apprechiated
Answer:
2+3+3=8
3×4=12
Step-by-step explanation:
PLEASE HELP!! PICTURE INCLUDED!!
If the money shown is to be divided among 4 people, what should be the first step?
A. Exchange one $100 bill for five $10 bills and fifty $1 bills.
B. Exchange four $10 bills for forty $1 bills.
C. Exchange the two $100 bills for twenty $10 bills.
D. Exchange the six $10 bills for sixty $1 bills.
Answer:
After a little bit of research I found that the right answer is a
reason
you divide the four $10 dollar Bill by 4
so 1 person gets one $10 dollar bill
then you exchange the 100 bill for eight 10 bill and twenty 1 dollar bill
so eight 10 bill divided by 4 so 1 person gets two 10 dollar Bill
twenty 1 dollar bill .Each person here gets five one dollar Bill
so finally
each person gets
1. one $10 dollar bill
2.two 10 dollar bill(from the 100 bill)
3.five 1 dollar bill(from.the 100 too)
Here are three expressions that have the value of - 1/2
-1/4 + (-1/4
1/2 - 1
-2 x 1/4
Write five expressions: a sum, a product , a quotient, and one that involves at least two operations that have the value of -3/4 .
On solving the provided question we can say that three expression whose value = -3/4 are -1/4-3/4; -2/4-1/4; 1-1/4
what is expression ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.
by expression
three expression whose value = -3/4 are -1/4-3/4; -2/4-1/4; 1-1/4
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if x=41.5 and y=13.2 correct to one decimal place.calculate the percentage error in x-y to four significant figures
The percentage error in x/y to four significant figures is 1.5355%
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We are given that x=41.5 and y=13.2 correct to one decimal place.
Now we need to find the percentage error in x-y to four significant figures.
Max val of x 41.5 min 13.35
Max val of y 13.2 min 4.25
max value of x 41.5 = 3.1647
y 13.2
min value of x 13.35 = 3.069
y 4.35
The actual value of x 13.4 = 3.1163
y = 4.3
Absolute error;
3.1642 3.069 = 0.04785
Percentage Error;
0.04785 × 100 = 0.015355 × 100
=1.5355%
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