Fractions can be proper, improper or mixed numbers
The solution for p is \(p = -\frac{53}{2170}\)
The equation is given as:
\(p217 = -5.3\)
Rewrite the equation properly as:
\(217p = -5.3\)
Divide both sides of the equation by 217
\(p = -\frac{5.3}{217}\)
Multiply the fraction by 10/10
\(p = -\frac{53}{2170}\)
Hence, the solution for p is \(p = -\frac{53}{2170}\)
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Slope =3 and passes through (2,-5)
Y = 3x -11 is the equation where the slope is 3 and the coordinates pass through (2,-5)
what is slope ?What determines a line's steepness is its slope. Gradient overflow is a mathematical expression for the gradient (the change in y divided by the change in x). The slope is the proportion of the vertical increase (rise) over the distance between the two points to the width change (run) over the same distance. Slope-intercept form about an equation is used to express a straight line's equation, which is written as y = mx + b. A point on the line where the slope is m, b is b, and the y-intercept is placed is (0, b). An illustration would be the slope and y-intercept of the formula y = 3x - 7 (0, 7). At the location of the y-intercept, the line has a slope of m, b, and c. (0, b).
given
Substituting the values of the supplied point for x and y in the equation
= line y = mx + b with m = 3 is known as substitution.
= -5 = 3(2) + b.
= b = -11
Y = 3x -11 is the equation where the slope is 3 and the coordinates pass through (2,-5) .
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The complete question is :- Find the equation of line whose slope is 3 and passes through ( 2, - 5) .
Can you explain exponents
Answer:
Read Exp:
Step-by-step explanation:
Exponents are like a simpler way to multiply something by itself a certain amount of times.
So like if you were to see 7^4 on a test or assignment you would solve it like this:
- 7x7x7x7.
It just means 7 times itself 4 times. NOT 7 times 4.
an x-bar--r chart has been in control for some time. if the range suddenly and significantly increases, the mean will:
If the range on an X-bar-R chart suddenly and significantly increases, it indicates an increase in process variation. In this scenario, the mean (X-bar) may or may not be affected.
The mean represents the central tendency or average value of the process, while the range measures the dispersion or variation within the process.
If the mean remains stable and unaffected despite the increase in range, it suggests that the process average is still within control. However, if the range increase is accompanied by a significant shift in the mean, it indicates a potential shift in the process average.
To make a definitive determination, additional analysis and investigation are necessary to identify the underlying cause of the increased range and its impact on the process mean.
This could involve examining individual data points, performing hypothesis testing, or conducting further statistical analysis to assess the process stability and potential issues.
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Which of the following represents a rotation of △EFG, which has vertices E(4,−3), F(−7,5), and G(2,8), about the origin by 180°?
Using translation concepts, the vertices of the rectangle after the translation about the origin by 180° will be as follows:
E'(-4,3), F'(7,-5) and G(-2,-8).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The rule for a rotation of 180º about the origin is:
(x,y) -> (-x,-y).
Hence, for triangle EFG, the vertices after the translation will be given as follows:
E'(-4,3), F'(7,-5) and G(-2,-8).
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Answer:
Step-by-step explanation:
PLEASE HELP FAST NEED IT FAST =)
Which pair of triangles demonstrates congruence with the AAS Postulate?
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
brainliest?
the value of [{(6to the power 2+8 to the power 2)to the power 1/2}]to the power 3
Answer:
Step-by-step explanation:
\([(6^{2}+8^{2})^{\frac{1}{2}}]^{3} = [(36+64)^{\frac{1}{2}}]^{3}\\\\= [(100)^{\frac{1}{2}}]^{3}\\\\= 10^{3}\\\\= 1000\)
k + 11 < -3. someone helppp
Plssssss I neeed help I will mark brainlist
Answer:
so i think it is rst on the right
The following information should be taken into consideration to answer this item: If the scores of 400 subjects in a psychological scale have been distributed normally with the mean score of 100 and standard deviation of 15: The Z score that equivalent to the raw score 92.5 is.... A.+ 0.5 B. -1.25 C.-0.5 D.-0.25
The Z score that is equivalent to the raw score 92.5 is B. -1.25.
A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.
Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:
Z = (92.5 - 100) / 15
Z = -7.5 / 15
Z = -0.5
Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.
The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.
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if the train that megan is riding covers 150 miles in 3 hours, how fast is the train traveling?
Speed = Distance / time
Speed = 150 miles / 3 hours
Speed = 50 miles per hour.
Please help me!! What is the sum?
Answer:
-6x^2 + x + 8
Step-by-step explanation:
here's your solutio
=>-6x^2 - 1 + x + 9
=> like term will added with each other
=> - 6x^2 + x + 8
if the work required to stretch a spring 1 ft beyond its natural length is 15 ft-lb, how much work is needed to stretch it 6 in. beyond its natural length?
To stretch a spring 1 ft. from its natural length, a 15 ft-lb work is needed. To stretch a spring 6 in. from its natural length, the required work is 3.75 ft-lb
The work done on a spring is given by the formula:
W = 1/2 . kx²
Where:
k = spring constant
x = spring displacement
From the formula, we know that the work is directly proportional to the square of displacement, or mathematically:
W ∝ x²
Therefore,
W₁ : W₂ = x₁² : x₂²
Data from the problem
W₁ = 15 ft-lb
x₁ = 1 ft
x₂ = 6 in. = 0.5 ft
Hence,
15 : W₂ = 1² : 0.5²
W₂ = 0.25 x 15 = 3.75 ft-lb
Hence, the required work to stretch the spring 6 in beyond its natural length is 3.75 ft-lb
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There are 18 tires on one truck. How many tires are on 3 trucks of the same type
Answer:
54 tires
Step-by-step explanation:
Just multiply 18 and 3 to get the answer of 54.
Answer: 54
Step-by-step explanation: 18x3=54 should be correct just used a calculator :)
You are at (1,−2,−2) facing the yz plane. You walk forward 3 units, turn right and walk for another 3 units. What are your coordinates now? Are you above or below the xy plane?
Your new coordinates are (4, -2, 1), and you are above the xy-plane.
After walking forward 3 units from the starting point (1, -2, -2) in the direction you are facing, you would be at the point (1, -2, 1). Then, after turning right and walking for another 3 units, you would move parallel to the x-axis in the positive x-direction. Therefore, your new coordinates would be (4, -2, 1).
To determine if you are above or below the xy-plane, we can check the z-coordinate. In this case, the z-coordinate is 1. The xy-plane is defined as the plane where z = 0. Since the z-coordinate is positive (z = 1), you are above the xy-plane.
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In this problem we consider a differential equation in the form Mdx + Ndy =0.
(3x^(2)y+e^y)dx+(x^3+xe^y-2y)dy=0
Find: My
Nx
Is the equation (1) Exact or (2) Not Exact?
If the problem is exact then the solution is given as f(x,y)=C
where C is an arbitrary constant. In this case enter f(x,y)below.
To find My, we need to take the partial derivative of N with respect to y: My = ∂N/∂y = x(e^y - 2). the potential function f(x, y) is: f(x, y) = x^3y + xe^y - y^2. The solution to the exact differential equation is: f(x, y) = C, where C is an arbitrary constant. In this case, the solution is: f(x, y) = x^3y + xe^y - y^2 = C.
To determine whether the equation is exact or not, we need to check if M and N satisfy the condition:
∂M/∂y = ∂N/∂x
1.)Taking the partial derivative of M with respect to y:
∂M/∂y = 3x^2 + e^y
2.)Taking the partial derivative of N with respect to x:
∂N/∂x = 3x^2 + e^y
Since ∂M/∂y = ∂N/∂x, the equation is exact.
To find the solution, we need to integrate M with respect to x and N with respect to y, then equate them to a constant C:
∫M dx = ∫(3x^2y + e^y) dx = x^3y + xe^y + g(y)
∫N dy = ∫(x^3 + xe^y - 2y) dy = x^3y + ye^y - y^2 + h(x)
Equating them:
x^3y + xe^y + g(y) = x^3y + ye^y - y^2 + h(x)
Simplifying:
xe^y + y^2 - h(x) = -g(y)
Since both sides are functions of different variables, they must be equal to a constant C:
xe^y + y^2 - h(x) = -g(y) = C
Therefore, the solution is:
f(x,y) = x^e^y + y^2 - C = x^e^y + y^2 - (xe^y + y^2 - h(x)) = h(x) + x^e^y - xe^y - C
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Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.
If the length,breadth, height of cuboid are 16 m, 5 m,4 m , slant height of pyramid is 10m, height be 6 m then the surface area of composite figure be 444 \(m^{2}\).
Given that the length,breadth,height of cuboid are 16m,5 m, 4m and slant height be 10 m and height be 6 m.
Surface area is basically sum of area of all the sides of a figure.
Surface area of composite figure = area of cuboid less area of common side + area of 2 slant sides of pyramid+area of two triangles.
=2(lb+bh+hl)-(lb)+2(slant height*breadth of cuboid)+2[1/2* length of cuboid* height of triangle)
=2(16*5+5*4+4*16)-16*5+2(10*5)+2[1/2*16*6]
=2(80+20+64)-80+2*50+2(48)
=2(164)-80+100+96
=328-80+196
=248+196
=444\(m^{2}\)
Hence the surface area of composite figure having a cuboid and pyramid on top is 444\(m^{2}\).
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How to find proportional parts in triangles and parallel lines?
If a line parallel to one side of a triangle contacts the other two sides of the triangle, the line proportionally splits these two sides. If DE = BC, then ADDB=AEEC.
If a line parallel to one side of a triangle contacts the other two sides, the two sides are proportionately divided.
The formula for a proportional equation is y = kx. The letters y and x denote the variables in the equation. The letter k represents the proportionality constant, which is fixed.
Because matching angles produce the AA similarity shortcut, when a line is drawn parallel to one side of a triangle, two similar triangles are generated. Because the triangles are comparable, the parallel line segments are proportionate segments.
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Which of the following is an example of a combination?
O A. Picking 3 books to take with you on vacation from a collection of
20 books
O B. Selecting a president, vice president, and treasurer
O C. The number of ways that 4 people can win 4 different prizes
O D. The number of ways that 7 books can be placed in a row on a
bookshelf
Answer:
a
Step-by-step explanation:
uh this is basic head knowledge for me i cant really explain
sec(pi/2 -x) =csc x true or false
Answer:
true
Step-by-step explanation:
if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:
\(sec\left(\frac{\pi }{2}\:-x\right)\) \(=\frac{1}{\sin \left(x\right)}\)
\(\frac{1}{\sin \left(x\right)}\) \(=\csc \left(x\right)\)
so, yes, \(sec\left(\frac{\pi }{2}\:-x\right)\) \(=\csc \left(x\right)\)
hope this helps!!
Factor -6 out of 12y - 42.
Need this ASAP!!!
Answer:
6(2y-7)
Step-by-step explanation:
on the math portion of the sat, scores are roughly normal, with a mean of 500 and a standard deviation of 100. what percent of scores are above 400?
The percent of scores are above 400 is 84.13 percent.
Given that, mean \((\bar{x})\)=500 and the standard deviation \((\sigma)\)=100.
Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.
Here, from the normalization curve the proportion of SAT scores above 400 is
\((50+\frac{68.26}{2})\%\)
\(= 84.13 \%\)
Therefore, the percent of scores are above 400 is 84.13 percent.
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what do you call someone who studies and writes word, logic, or mathematical puzzles?
A person who studies or involves in stduy and writes word, logic, or mathematical puzzles is known as an Enigmatologist.
In short form, the use of the term Enigmatologist is a general term for anyone who deals with any puzzle science, such as mathematics. However, the word occultism is a new coin coined nearly 30 years ago by the American Will Shortz, the only trained occultist in the world. Shortz graduated from Indiana University with a degree in riddles in 1974 and is now a columnist for the New York Times after many years as editor of the American magazine Games. Hence, someone who studies and writes mathematical, word or logic puzzles.
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likert-type scale response choices must be balanced at the ends of the response continuum.
that it is important for likert-type scale response choices to be balanced at the ends of the response continuum. This means that there should be an equal number of positive and negative response options to avoid any bias or skew in the results.
An explanation for this is that if there are too many positive or negative response options, respondents may feel pressured to choose a certain option even if it doesn't accurately reflect their true opinion. This can result in inaccurate data and can skew the results of the survey or study.
balancing the response choices on a likert-type scale is crucial for obtaining accurate and unbiased data. By having an equal number of positive and negative options, respondents are more likely to provide honest and accurate responses.
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the decimal number 0.24999999 rounded to the hundreds place is equivalent to which fractions
lou have earned 3 point(s) out of 5 point(s) thus far. The following data are the yields, in bushels, of hay from a farmer's last 10 years: 375,210,150,147,429,189,320,580,407,180. Find the IQR.
The Interquartile Range (IQR) of the given data set, consisting of the yields of hay from a farmer's last 10 years (375, 210, 150, 147, 429, 189, 320, 580, 407, 180), is 227 bushels.
IQR stands for Interquartile Range which is a range of values between the upper quartile and the lower quartile. To find the IQR of the given data, we need to calculate the first quartile (Q1), the third quartile (Q3), and the difference between them. Let's start with the solution. Find the IQR. Given data are the yields, in bushels, of hay from a farmer's last 10 years: 375, 210, 150, 147, 429, 189, 320, 580, 407, 180
Sort the given data in order.150, 147, 180, 189, 320, 375, 407, 429, 580
Find the median of the entire data set. Median = (n+1)/2 where n is the number of observations.
Median = (10+1)/2 = 5.5. The median is the average of the fifth and sixth terms in the ordered data set.
Median = (210+320)/2 = 265
Split the ordered data into two halves. If there are an odd number of observations, do not include the median value in either half.
150, 147, 180, 189, 210 | 320, 375, 407, 429, 580
Find the median of the lower half of the data set.
Lower half: 150, 147, 180, 189, 210
Median = (n+1)/2
Median = (5+1)/2 = 3.
The median of the lower half is the third observation.
Median = 180
Find the median of the upper half of the data set.
Upper half: 320, 375, 407, 429, 580
Median = (n+1)/2
Median = (5+1)/2 = 3.
The median of the upper half is the third observation.
Median = 407
Find the difference between the upper and lower quartiles.
IQR = Q3 - Q1
IQR = 407 - 180
IQR = 227.
Thus, the Interquartile Range (IQR) of the given data is 227.
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how many whole numbers are there between 121and176
TO KNOW HOW MANY WHOLE NUMBERS THERE ARE BETWEEN 121 AMD 176 WE CAN SIMPLY GET THEIR DIFFERENCE.
THE DIFFERENCE IS THE NUMBER OF WHOLE NUMBERS INBETWEEN 121 AND 176.
\( = 176 - 121 \\ = 55\)
THERE ARE 55 WHOLE NUMBERS BETWEEN 121 AND 176.
Answer:
54
Step-by-step explanation:
Whole numbers are 0,1,2,3,... Following that pattern forever.
Take a simpler example. How many whole numbers between 2 and 5? It would be just 3 numbers; 3 and 4.
We could subtract 5-2 to get 3 and then subtract 1 more to get the answer of 3
What if I wanted to know the number of whole numbers between 3 and 7?
The numbers would be 4,5,6.
7-3 = 4 and then subtract 1 more to get the answer that there are 3 whole numbers between 3 and 7.
176 - 121 = 55 take one more away to get 54
Is the midpoint rule an overestimate or underestimate?
The midpoint rule is an overestimate.
This is because the midpoint rule is a form of numerical integration which approximates the area under a curve by summing the areas of rectangles that are divided into equal intervals. These rectangles are centered on the midpoints of the intervals.
Because the rectangles are centered on the midpoints instead of the endpoints of each interval, the midpoint rule overestimates the area under the curve as the rectangles are wider than the intervals.
This means that the midpoint rule produces a larger area than the exact area under the curve. This is why the midpoint rule is an overestimate.
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The midpoint rule is an overestimate of the definite integral. The midpoint rule is a numerical integration method used to approximate the definite integral of a function.
It works by dividing the interval of integration into smaller subintervals and approximating the integral by summing the areas of rectangles whose heights are determined by the function evaluated at the midpoint of each subinterval.
Since the rectangles in the midpoint rule are taller at the midpoint and shorter at the endpoints, this method generally overestimates the true area under the curve. However, if the function is well-behaved and the subintervals are small enough, the error between the midpoint rule approximation and the true definite integral can be made arbitrarily small.
In conclusion, the midpoint rule is an overestimate of the definite integral, but the error can be made small by using smaller subintervals.
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(3-4i)(3+4i)=
1. 25-24i
2.25+0i
a rectangular room is 3 times as long as it is wide, and its perimeter is 48 meters. find the dimensions of the room.
The dimensions of the room will be 12m x 6m.
What is a dimension?In mathematics, dimensions are the measurements of the size or distance of an item, area, or space in one direction. In layman's words, it is the measurement of something's length, breadth, and height. Length is the most often used dimension.So, now calculate the dimensions of the room as follows:
Let the width be x.Then the length will be 3x.Perimeter = 48 metersSolve as shown:
2 ( x + 3x) = 488x = 48x = 6mlength = 12 mTherefore, 12m x 6m will be the dimensions of the room.
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the base of a triangle is eight less than twice it’s height, if the area of the triangle is 5cm^2 find the length of the base
Answer:
the height = 5cm
the base = 2cm
Step-by-step explanation: