Answers
Answer:
It is a diagnal line that goes through (0,0) and (1,1) and has a slope of 1
Step-by-step explanation:
It would look like this /
Related Questions
Create a list of steps, in order, that will solve the following equation. (x-5)^2=25(x−5) 2 =25left parenthesis, x, minus, 5, right parenthesis, squared, equals, 25 Solution steps:
Answers
The value of x in the equation (x - 5)² = 25 is 10.
How to solve an equation?(x - 5)² = 25
Take the square root of both sides
Therefore,
√(x - 5)² = √25
x - 5 = 5
add 5 to both sides
x - 5 + 5 = 5 + 5
x = 10
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Dwayne is walking on a straight sidewalk. He spots
a vertical flagpole 10 feet to his right. His friend
Ursula says that the flagpole and sidewalk can be
used to model two lines. Which term best describes
the sidewalk and the flagpole?
Answers
Answer:
Skew lines
Step-by-step explanation:
Skew lines are two straight lines in three dimensional space that are neither parallel nor do they intersect Examples of skew lines are the front sidewalk and a line that goes along one of the top edges of the house, or lines that connecting opposite edges of a regular tetrahedron
Other examples of skew lines can be found in non co-planar non parallel, parts of a bridge.
please help, it is similar to angles. halpp
Answers
Answer:
Step-by-step explanation:
Because those 2 lines are parallel, then 2x + 10 and 2x - 30 are same side interior and are supplementary. Therefore,
2x + 10 + 2x - 30 = 180 and
4x - 20 = 180 and
4x = 200 so
x = 50
Answer:
x = 50
Step-by-step explanation:
Two Parallel lines and an transversal.
Given angles are co - interior angles and they are supplementary.
2x + 10 + 2x - 30 = 180
2x + 2x + 10 -30 = 180 {Combine like terms}
4x - 20 = 180
4x = 180 + 20 (Add 20 to both sides}
4x = 200 {Divide both sides by 4}
x = 200/4
x = 50
If CD = 20 and DE = 17, what is CE? Write your answer as a decimal or integer.
Answers
Answer:
37
Step-by-step explanation:
The position of a particle moving in the xy-plane is given by the parametric functions x(t) and y(t) for which x′(t)=t sin t and y′(t)=5e−3t+2 What is the slope of the tangent line to the path of the particle at the point at which t=2?
Answers
Answer:
To find the slope of the tangent line to the path of the particle at the point where t = 2, we first need to find the values of x(2) and y(2), as well as their derivatives x'(2) and y'(2).
Using the given parametric functions, we can find:
x(2) = ∫ x'(t) dt = ∫ t sin(t) dt = -t cos(t) + sin(t) + C
where C is the constant of integration.
Since we want x(2), we can evaluate the above expression at t = 2:
x(2) = -2 cos(2) + sin(2) + C
Similarly, we can find:
y(2) = ∫ y'(t) dt = ∫ (5e^(-3t) + 2) dt = (-5/3)e^(-3t) + 2t + C'
where C' is the constant of integration.
Again, since we want y(2), we can evaluate the above expression at t = 2:
y(2) = (-5/3)e^(-6) + 4 + C'
Now we can find the derivatives x'(2) and y'(2) by taking the derivative of x(t) and y(t), respectively, and evaluating them at t = 2:
x'(2) = 2 sin(2) - cos(2)
y'(2) = (5/3)e^(-6)
Therefore, at t = 2, the particle is at the point (x(2), y(2)) = (-2 cos(2) + sin(2) + C, (-5/3)e^(-6) + 4 + C'), and the slope of the tangent line to the path of the particle at this point is given by:
dy/dx = (dy/dt)/(dx/dt) = y'(2)/x'(2)
Substituting the values we found:
dy/dx = [(5/3)e^(-6) + 4 + C']/(2 sin(2) - cos(2))
Since we don't have enough information to find the value of C', we cannot find an exact value for the slope. However, we can simplify the expression by using the trigonometric identities:
sin(2) = 2 sin(1) cos(1)
cos(2) = cos^2(1) - sin^2(1)
where we let t = 1 for simplicity. Then, we can substitute these expressions and simplify:
dy/dx = [(5/3)e^(-6) + 4 + C']/(4 sin(1) cos(1) - cos^2(1) + sin^2(1))
dy/dx = [(5/3)e^(-6) + 4 + C')/(4 sin(1) cos(1) - 1)
Therefore, the slope of the tangent line to the path of the particle at the point where t = 2 is given by the above expression.
Step-by-step explanation:
The slope of the tangent line to the path of the particle at the point where t=2 is approximately 1.55. To find the slope of the tangent line to the path of the particle at the point where t=2,
we need to use the derivatives of x(t) and y(t).
First, we can find the slope of the tangent line by using the formula:
slope = dy/dx = (dy/dt)/(dx/dt)
So, we need to find both dy/dt and dx/dt.
Given that x′(t)=t sin t, we can find dx/dt by taking the derivative of x(t):
dx/dt = x′(t) = t sin t
Given that y′(t)=5e−3t+2, we can find dy/dt by taking the derivative of y(t):
dy/dt = y′(t) = 5e−3t+2
Now, we can find the slope of the tangent line at t=2 by plugging in these values:
slope = (dy/dt)/(dx/dt) = (5e−3t+2)/(t sin t) = (5e−6+2)/(2 sin 2)
Therefore, the slope of the tangent line to the path of the particle at the point where t=2 is approximately 1.55.
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When using Synthetic Division, you can tell if something is a factor if...
1 it has a remainder of over 100.
2. it has a negative remainder.
3.. it has a remainder of zero.
Answers
8. Calculate Cell A normally divides once every two days. If its control mechanisms aren't working correctly, cell A divides six times faster than normal. How many hours does it take cell A to divide when its control mechanisms aren't working correctly?
Answers
After your run the program below, where can you view the output?
ods _all_ close;
ods html file='c:\test.html' style=meadow;
ods html close;
ods listing;
proc print data = orion.test;
run;
ods csvall;
Answers
The program provided sets up output destination options and then executes a PROC PRINT statement to display the data from the "orion.test" dataset. However, without running the program, I can still provide an explanation based on the code.
In the code, the ODS (Output Delivery System) statements are used to control the output format and destination. The first line, "ods all close;", closes all open ODS destinations. The second line, "ods html file='c:\test.html' style=meadow;", directs the output to an HTML file named "test.html" located at "c:\test.html" with a specific style called "meadow". The next line, "ods html close;", closes the HTML output destination.
Following that, the "ods listing;" statement directs the output to the default output destination, which is typically the SAS log or output window. Then, the PROC PRINT statement is used to print the data from the "orion.test" dataset.
Considering the output destinations set up in the program, the output will be available in three different places. First, it will be saved as an HTML file named "test.html" at "c:\test.html". Second, if you have the SAS output window or log open, you will be able to see the output there as well. Finally, the output will also be available as a CSV file since the "ods csvall;" statement directs the output to be generated in CSV format.
In summary, the program generates output in three locations: an HTML file, the SAS output window or log, and a CSV file. These destinations allow for different ways to access and review the output data.
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The resting heart rate of 60 patients is shown in the frequency table below.
Heart Rate
(beats per minute) Frequency
60 1
65 3
70 4
75 12
80 8
85 15
90 9
95 5
100 3
Determine the standard deviation of the data set and explain what it means in terms of the data.
The standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.
The standard deviation is 13.69. The typical heart rate for the data set varies from the mean by an average of 13.69 beats per minute.
The standard deviation is 9.27. The heart rate of a randomly selected patient varies from the mean by 9.27 beats per minute.
The standard deviation is 13.69. The heart rate of a randomly selected patient varies from the mean by 13.69 beats per minute.
Answers
The standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.
How to determine the standard deviation of the data set?The dataset is given as:
Heart Rate Frequency
60 1
65 3
70 4
75 12
80 8
85 15
90 9
95 5
100 3
Calculate the mean using
Mean = Sum/Count
So, we have
Mean = (60 * 1 + 65 * 3 + 70 * 4 + 75 * 12 + 80 * 8 + 85 * 15 + 90 * 9 + 95 * 5 + 100 * 3)/(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3)
Evaluate
Mean = 82.25
The standard deviation is
\(\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f -1}}\)
So, we have:
SD = √[1 * (60 - 82.25)^2 + 3 * (65 - 82.25)^2 + 4 * (70 - 82.25)^2 + 12 * (75 - 82.25)^2 + 8 * (80 - 82.25)^2 + 15 * (85 - 82.25)^2 + 9 * (90 - 82.25)^2 + 5 * (95 - 82.25)^2 + 3 * (100 - 82.25)^2)]/[(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3 - 1)]
This gives
SD = √85.9533898305
Evaluate
SD = 9.27
Hence. the standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.
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Given the table below, tje solutions to the quadratic are __ and __ .
Answers
All these linear equation intersect from one point.
-2x + 0y = 0
0x - y = 0
2x + 0y = 0
4x + 3y = 0
6x + 8y = 0
8x + 15y = 0
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with power 1 variables are known as linear equations. axe+b = 0 is a one-variable example in which a and b are real numbers and x is the variable.
all the equations from the table
-2x + 0y = 0
0x - y = 0
2x + 0y = 0
4x + 3y = 0
6x + 8y = 0
8x + 15y = 0
graph is attached here,
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The complete question is -
Given the table below, tje solutions to the quadratic are __ and __ .
x = -2, 0, 2, 4, 6, 8
y = 0, -1,0, 3 , 8 , 15
Identify the initial amount a and the rate of decay r (as a percent) of the exponential function f(t)=475(0.5)t. Evaluate the function when t=3. Round your answer to the nearest tenth.
Answers
The function when t=3 to the nearest tenth is 59.4.
How did we get the value?The initial amount is a = 475, and the rate of decay r is 50%.
To evaluate the function when t=3, we plug in t=3:
f(3) = 475(0.5)^3 = 475 * (0.125) = 59.375
Rounding to the nearest tenth, f(3) = 59.4.
Therefore, the correct answer is as given above. It could be concluded that the rounded answer to the nearest tenth is 59.4
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a) 12 men can complete a project in 27 days. Assuming that all the men work at the same
rate, find the additional number of men needed to complete the project in 6 days.
Answers
Answer:
the additional number of people is 42
Answer:
42 add'lmen required
Step-by-step explanation:
12 men x 27 days = 324 man-days required to complete the project
324 man-days / x men = 6 days
x = 54 men required to complete in 6 days ....or 42 add'l men required
(1 point) parameterize the plane that contains the three points (1,−2,−5), (−10,−6,−12), and (15,20,10). r⃗ (s,t)=
Answers
The parameterized plane that contains the three points is r(s,t) = (1,−2,−5) + s(−11,−4,−7) + t(14,22,15).
To parameterize the plane that contains the three points (1,−2,−5), (−10,−6,−12), and (15,20,10), we can use a vector equation.
We can choose any of the given points as r. Let's choose (1,−2,−5) as our r
r = (1,−2,−5).
To find v, we need to subtract r from any two points on the plane. Let's choose (−10,−6,−12) and (15,20,10) as our points.
⃗v = (−10,−6,−12) - (1,−2,−5) = (−11,−4,−7).
Similarly, we can subtract r from another pair of points. Let's choose (−10,−6,−12) and (15,20,10) again.
⃗w = (15,20,10) - (1,−2,−5) = (14,22,15).
Now we have all the necessary components to parameterize the plane.
r(s,t) = (1,−2,−5) + s(−11,−4,−7) + t(14,22,15).
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I know how to do this, but for some reason got it wring on a Test. Can someone demonstrate how to do it so that I know what I'm doing wrong?
Answers
Answer:
Answer on a graph
11. What is the difference between a theorem and a postulate?
Answers
Answer:
A postulate is a statement that is assumed to be true based on basic geometric principles. A theorem is a mathematical statement that can and must be proven to be true.
Step-by-step explanation:
www.ck12.org
Answer:
A thorem is true and can be proven true vs a postulate is guessed true without any evidence.
Step-by-step explanation:
A theorem is a group of statements that are used to prove something else, whereas a postulate is a statement that is not proved but is true through reasoning.
Please help!!! Angles!
Answers
Answer:
m∠JKM = 63°
m∠MKL = 27°
Step-by-step explanation:
Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.
\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)
Solve the equation for x:
\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)
We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,
m∠JKM = 12(5) + 3 = 60 - 3 = 63°
m∠MKL = 6(5) - 3 = 30 - 3 = 27°
Please help me out please please please
Answers
Answer:
-18 + 30 s - 72 t + 12 u
Step-by-step explanation:
Expand the following:
-6 (3 - 5 s + 12 t - 2 u)
-6 (3 - 5 s + 12 t - 2 u) = -6×3 - 6 (-5 s) - 6×12 t - 6 (-2 u):
-6×3 - 6 (-5) s - 6×12 t - 6 (-2) u
-6×3 = -18:
-18 - 6 (-5) s - 6×12 t - 6 (-2) u
-6 (-5) = 30:
-18 + 30 s - 6×12 t - 6 (-2) u
-6×12 = -72:
-18 + 30 s + -72 t - 6 (-2) u
-6 (-2) = 12:
Answer: -18 + 30 s - 72 t + 12 u
A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two-year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 6,193 with a standard deviation of 598. Of the 35 two-year colleges surveyed, the mean enrollment was 4,305 with a standard deviation of 572. Test the student's claim at the 0.01 significance level.
Answers
At a significance level of 0.01, we can confidently state that the student's claim is true.
The hypothesis in this question can be stated as follows:
Null Hypothesis: H0: μ1 = μ2 (There is no difference between the mean of four-year college enrollment and two-year college enrollment.)
Alternative Hypothesis: H1: μ1 > μ2 (Mean enrollment of four-year colleges is greater than the mean enrollment of two-year colleges in the United States.)
The significance level (α) is given as 0.01, which represents the probability of rejecting the null hypothesis when it is actually true.
To calculate the test statistic, we can use the formula:
z = ((X1 - X2) - (μ1 - μ2)) / √((σ1² / n1) + (σ2² / n2))
Substituting the given values:
z = ((6193 - 4305) - (0)) / √((598² / 35) + (572² / 35))
z = 10.33
Since this is a right-tailed test, we need to compare the test statistic with the critical value. At a significance level of 0.01, the critical value is 2.33.
The calculated test statistic (10.33) is greater than the critical value (2.33). Therefore, we reject the null hypothesis and conclude that there is enough evidence to support the claim that the mean enrollment at four-year colleges is higher than at two-year colleges in the United States.
In conclusion, at a significance level of 0.01, we can confidently state that the student's claim is true. The mean enrollment at four-year colleges is higher than at two-year colleges in the United States.
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Why does everyone need to follow the order of operations when evaluating expressions?
Answers
Answer:
They make sure everyone gets to the same answer. Many people memorize the order of operations as PEMDAS (parentheses, exponents, multiplication/division, and addition/subtraction). The order of operations are one set of agreements for how to evaluate expressions. They make sure everyone gets to the same value.
Step-by-step explanation:
PLEASE HELP! THANKS!!
Answers
Answer:
\( = 10 {x}^{2} - 4x\)
Step-by-step explanation:
\(2x(5x - 2)\)
\( = 10 {x}^{2} - 4x\)
=(2x*5x)-(2x*-2)
=10x^2-4x
Rewrite the function f (x) =-3(x + 2)2 + 7 in the form f(x) = ax++bx+c.
Answers
Answer:
f(x)= -3x² - 12x - 5
Step-by-step explanation:
-3(x+2)² + 7
-3(x+2)(x+2) + 7
(-3x-6)(x+2) + 7
-3x² - 6x - 6x - 12 + 7
-3x² - 12x - 5
the angle that is a corresponding angle with angle 1 is?
Answers
Answer:
C. 3
Step-by-step explanation:
1. (5 pts) The (per hour) production function for bottles of coca-cola is q=1000K L
, where K is the number of machines and L is the number of machine supervisors. a. (2 pts) What is the RTS of the isoquant for production level q? [Use the following convention: K is expressed as a function of L b. (1 pt) Imagine the cost of operating capital is $40 per machine per hour, and labor wages are $20/ hour. What is the ratio of labor to capital cost? c. (2 pts) How much K and L should the company use to produce q units per hour at minimal cost (i.e. what is the expansion path of the firm)? What is the corresponding total cost function?
Answers
The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.
The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.
Given the production function q = 1000KL, we can differentiate it with respect to L:
d(q)/d(L) = 1000K
Therefore, the RTS of the isoquant for production level q is 1000K.
The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.
Labor cost = $20/hour
Capital cost = $40/machine/hour
Ratio of labor to capital cost = Labor cost / Capital cost
= $20/hour / $40/machine/hour
= 0.5
The ratio of labor to capital cost is 0.5.
To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.
Let C(K, L) be the total cost function.
The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:
C(K, L) = 40K + 20L
To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.
The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.
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x/4-6=10 PLEASE HELP I NEED HELP ASAP
Answers
\(\huge \bf༆ Answer ༄\)
Here's the solution ~
\( \sf \dfrac{x}{4} - 6 = 10\)\( \sf \dfrac{x}{4} = 10 + 6\)\( \sf \dfrac{x}{4} = 16\)\( \sf x = 16 \times 4\)\( \sf x = 64\)Value of x is 64
Ok done. Thank to me :>
the melodic kortholt company will change its current health plan if at least half the employees are dissatisfied with it. a trial sample of 25 employees shows that 16 are dissatisfied. the p-value for a right-tailed test is:
Answers
The p-value for a right-tailed test is 0.0096.so the melodic kortholt company should consider changing its current health plan.the standard error for the proportion (SE = sqrt(0.64*(1-0.64)/25) = 0.144).
1. Calculate the proportion of employees dissatisfied (16/25 = 0.64).
2. Calculate the standard error for the proportion (SE = sqrt(0.64*(1-0.64)/25) = 0.144).
3. Calculate the z-score for the test (z = (0.64 - 0.5)/SE = 1.39).
4. Calculate the p-value (p-value = 1 - cdf(z) = 0.0096).
The p-value is an indication of how likely it is that the proportion of employees dissatisfied is significantly different from the expected proportion (in this case, half). The p-value of 0.0096 means that there is only a 0.96% chance that the observed proportion of employees dissatisfied is due to chance alone, and so the melodic kortholt company should consider changing its current health plan.
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Find h.
plz answer thank you
Answers
Answer:
\( \frac{15}{h} = \frac{20}{30} \\ 15 \times 30 = 20 \times h \\ h = \frac{450}{20} \\ h = 22.5\)
Consider the equation 12x - 15y = 70
Solve for x (in terms of y)
Solve for y (in terms of x)
PLEASE HELP MEEEE IM IN A TEST!
Answers
y = (12x-70) / 15
What is five million four thousand three hundred in standard form
Answers
Answer:
5004300
Step-by-step explanation:
5.004300 this is the answer because it just is
what is the length of a mixed segment in a trapezoid with bases of 27 and X +8
Answers
Applying the trapezoid midsegment theorem, the length of the midsegment of a trapezoid whose bases are 27 and x a+ 8 is determined as: (x + 35) / 2.
What is the Trapezoid Midsegment Theorem?According to the trapezoid midsegment theorem, the length of the midsegment of a trapezoid is equal to the sum of the two bases divided by two.
The formula for finding the length of the midsegment of a trapezoid is therefore:
Length of midsegment = (sum of the two bases) / 2.
Given the length of the bases of a trapezoid as 27 and x + 8 respectively, therefore, according to the trapezoid midsegment theorem, we have the equation below:
Length of the midsegment = (27 + x + 8) / 2
Simplify by combining like terms:
Length of the midsegment = (x + 35) / 2
Therefore, the answer is, (x + 35) / 2.
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control limits are based on multiples of the process standard deviation. question 11 options: true false
Answers
Control limits are based on multiples of the sample statistic's standard deviation, hence the assertion is false that "control limits are based on multiples of the process standard deviation".
A control chart is made up of many different parts. There are two control limitations. The top dashed line represents the upper control limit (UCL), and the bottom dashed line represents the lower control limit (LCL).The solid middle line denotes the statistic's average for the plot.
The horizontal lines known as control limits in a control chart show the upper and lower limits of the acceptable range of results for a process. When plotted data goes over a control limit, a process is out of control and requires management action. The control limits are defined as three standard deviations on either side of the mean.
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