Answer:
That is true not false dont get confused
M is the midpoint of PQ. PM = 7x + 8 and MQ = 5x+ 20. Find the value of x.
plots are used to detect some of the common violations to the regression model assumptions. These graphical plots are easy to use and provide informal analysis of the estimated regression models.ResidualResponsePerfect multicollinearity
Answer:
Plots that can detect violations in regression assumptions, while response plots help analyse the relationship between the response variable and predictors are Residual plots and scatterplot matrix.
Step-by-step explanation:
There are several graphical plots commonly used to detect violations of regression model assumptions and analyze estimated regression models. Here are a few examples:
Residual plot: A residual plot shows the difference between the observed values of the response variable and the predicted values from the regression model. Patterns in the residuals, such as nonlinearity, heteroscedasticity (unequal variances), or outliers, can indicate violations of assumptions.
Response plot: This plot examines the relationship between the response variable and one of the predictor variables while holding other predictors constant. It helps identify nonlinearity or other issues in the relationship between the response and predictors.
Scatterplot matrix: A scatterplot matrix displays scatterplots between pairs of predictor variables. It can help detect issues like perfect multicollinearity, which occurs when two or more predictors are highly correlated, leading to problems in estimating the regression coefficients.
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I need help with this math question it would be greatly appreciated.
Answer
equation of L₁ is y = 2x - 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given L₂
x + 2y = 3 ( subtract x from both sides )
2y = - x + 3 ( divide through by 2 )
y = - \(\frac{1}{2}\) x + \(\frac{3}{2}\) ← in slope- intercept form
with slope m = - \(\frac{1}{2}\)
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{2} }\) = 2
slope of L₁ = 2 and passes through (3, - 1 ) , then
y = 2x + c ← is the partial equation of L₁
to find c substitute (3, - 1 ) into the partial equation
- 1 = 6 + c ⇒ c = - 1 - 6 = - 7
y = 2x - 7 ← equation of L₁
9) The diameter of a circular ice skating rink is 32 feet. What is the approximate area of the ice skating rink? Use a = 3.14. a) 803.84 square feet b) 50.24 square feet c) 100.48 square feet d) 64 square feet
Answer:
a) 803.84 square feet
Step-by-step explanation:
\(\sf{area~of~circle~=~\pi r^{2} }\\\sf{radius~ =~half~of~diameter}\)
so 32 / 2 = 16 = radius
\(\sf{radius^{2} = 16^{2}=256}\)
256 x 3.14 (because we are taking π as 3.14)
= 803.84
Hope this helps! If you need any further explanation, let me know!
- profparis
Eight more than two times a number is fourteen
Answer: 3
Step-by-step explanation:
3x2 = 6
6+8=14
let f be the function defined above. (a) find the average rate of change of f on the interval − 3 x 4. (b) write an equation for the line tangent to the graph of f at x 3.
(a) The average rate of change of a function f on an interval [a,b] is given by the formula:
average rate of change = (f(b) - f(a))/(b - a)
Using this formula, we can find the average rate of change of f on the interval [-3,4]:
average rate of change = (f(4) - f(-3))/(4 - (-3))
We need to know the function f to calculate f(4) and f(-3). As the function f is not given, we cannot provide a numerical value for the average rate of change of f on the interval [-3,4].
(b) To find the equation of the line tangent to the graph of f at x=3, we need to find the derivative of f at x=3. Let f'(x) denote the derivative of f with respect to x. Then, the slope of the tangent line at x=3 is given by f'(3).
Once we find f'(3), we can use the point-slope form of a line to write the equation of the tangent line:
y - f(3) = f'(3) * (x - 3)
(a) The average rate of change of a function measures the slope of the secant line connecting two points on the function. It is an important concept in calculus and is used to calculate many other important quantities, such as instantaneous rate of change, velocity, and acceleration.
(b) The equation of a tangent line to a curve at a point is given by the point-slope form of a line. To find the slope of the tangent line, we need to find the derivative of the function at that point. The derivative gives the instantaneous rate of change of the function at that point, which is the slope of the tangent line.
(a) We cannot find the average rate of change of f on the interval [-3,4] without knowing the function f.
(b) To find the equation of the tangent line to the graph of f at x=3, we need to find the derivative of f at x=3, and then use the point-slope form of a line to write the equation of the tangent line.
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Hamza buys a car for £900 and sells it for £1,280. Write the sale price as a percentage of the original price. Give your answer to the nearest whole percent and include the % symbol.
The sale price of the car as a percentage of the original price is 142%
PercentageCost of buying = £900Cost of selling = £1,280Sale price as a percentage of the original price = sale price / buying price
= 1280/900 × 100
= 1.42222222222222 × 100
= 142.22%
Approximately,
142%
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80% of C is 11 what is C
Answer:
c = 13.75
Step-by-step explanation:
Converting the words in the problem into a math equarion, we get:
80% * c = 11
0.8c = 11.
Simplifying, we get:
8c = 110
c = 13.75
Answer:
55
Step-by-step explanation:
Someone plz help me I wil give brainliest
Answer:
The answer is three quarters, one nickel's dime, and a penny!
Step-by-step explanation:
Answer:
Dime- 4
Penny- 1
Half Dollar- 1
Step-by-step explanation:
A dollar is 100 cents and you have 91
91- 50 (half dollar)= 41
41- 1 (one penny)= 40
40- 40 (4 dimes)= 0
Gina wants to make pumpkin pies for a Thanksgiving dinner. Thanksgiving. You need 8.8 pounds of squash and each pound it costs $0.93. How much will you spend
To calculate how much Gina will spend on squash for making pumpkin pies, we can multiply the required weight of squash by the cost per pound.
Weight of squash = 8.8 pounds
Cost per pound = $0.93
Total cost = Weight of squash * Cost per pound
= 8.8 * $0.93
= $8.16
Therefore, Gina will spend approximately $8.16 on squash for making pumpkin pies for Thanksgiving dinner.
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Solve -2y+1=y-5
Y=6
Y=-6
Y=-2
Y=3
Answer:
y=2
Step-by-step explanation:
-2y+1=y-5
Add 2y to each side
-2y+2y+1=y+2y-5
1 = 3y -5
Add 5 to each side
1+5 = 3y-5+5
6 = 3y
Divide each side by 3
6/3 = 3y/3
2 =y
Answer:
y=2
Step-by-step explanation:
Move y to the other side by subtracting by y on both sides:
-y-2y+1=y-y-5
-3y+1=-5
Move the 1 to the other side by subtracting by 1 on both sides:
-3y+1-1=-5-1
-3y=-6
Divide -3 on both sides to eliminate the -3 on y
-3y/-3=-6/-3
y=2
Rewrite each equation as a subtraction equation.
Make sure you put in what you found for c.
247+c=458
The equation in the form of subtraction is c=458-247.
What is an equation?
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
The definition of an equation in algebra is a mathematical statement demonstrating the equality of two mathematical expressions. For instance, the equation 3x + 5 = 10 consists of the two equations 3x + 3 and 10, separated by the 'equal' sign.
An equation is given as 247+c=458.
Subtract 247 from both sides of the equation to isolate c.
247+c-247=458-247
c=458-247
So, the equation in the form of subtraction is c=458-247.
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What is the slope of the line through (-4,2)(−4,2)left parenthesis, minus, 4, comma, 2, right parenthesis and (3,-3)(3,−3)left parenthesis, 3, comma, minus, 3, right parenthesis?
Answer:
The slope of the line through the points is -5/7
Step-by-step explanation:
Here, we want to calculate the value of the slope through the lines
Mathematically;
m = y2-y1/(x2-x1)
Where (x1,y1) = (-4,2)
and (x2,y2) = (3,-3)
Substituting these values, we have;
m = (-3-2)/(3-(-4)) = -5/7 = -5/7
The slope of the line through (-4, 2) and (3, -3) is; -5/7
According to the question;
We are required to determine the slope of the line through the points given.The slope, m of the line is given mathematically as;
m = (y2 -y1)/(x2 - x1)Therefore, in this case;
Slope, m = (-3 - 2)/(3 -(-4))Slope, m = -5/7
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-10
ious Activity
Type har
-5
10+y
O
-10
-20
5
Select the quadratic inequality that represen
graph.
Ov²(x+3)²-24
vs-(x-3)²+24
v2 - (x-3)2+24
Oys (x+3)²-24
O
The quadratic inequality defined on the graph is given as follows:
y ≥ 2/3(x + 3)² - 24.
How to define the quadratic inequality?The coordinates of the vertex of the quadratic function are given as follows:
(-3, -24).
Hence the quadratic function is given as follows:
y = a(x + 3)² - 24.
In which a is the leading coefficient.
When x = 3, y = 0, hence the leading coefficient a is obtained as follows:
0 = a(3 + 3)² - 24
36a = 24
a = 24/36
a = 2/3.
Hence:
y = 2/3(x + 3)² - 24.
The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:
y ≥ 2/3(x + 3)² - 24.
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(08.07 mc) the table of values represents a quadratic function f(x).
x f(x)
−7 14
−6 7
−5 2
−4 −1
−3 −2
−2 −1
−1 2
0 7
1 14
what is the equation of f(x)?
f(x) = (x − 4)2 − 1
f(x) = (x − 3)2 − 2
f(x) = (x + 3)2 − 2
f(x) = (x + 4)2 − 1
The quadratic function's equation is (c) f(x) = a(x + 3)² - 2.
How do you find the quadratic function's equation :-
We can use the following table of values to calculate the answer to the question:
An illustration of a quadratic equation is :-
f(x) = a(x - h)² + k
Where
Vertex = (h, k)
From the graph, we have the vertex to be,
(h, k) = (-3, -2)
Substitute (h, k) = (-3, -2) in f(x) = a(x - h)² + k
So, we have
f(x) = a(x + 3)² - 2
Also, from the graph, we have the point (0, 7)
This means that
a(0 + 3)² - 2 = 7
So, we have
9a = 9
Divide both sides by 9
a = 1
Substitute a = 1 in f(x) = a(x + 3)² - 2
f(x) = a(x + 3)² - 2
Hence, the equation is f(x) = a(x + 3)² - 2
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A tailor needs meters of cloth to make a poncho. How many meters does he need to make 15 ponchos of the same size?
A.
B.
C.
D.
E.
Answer: C.51
Step-by-step explanation:
3 2/5*15=51
find all values of x in the interval [0, 2????] that satisfy the equation. (enter your answers as a comma-separated list.) 8 sin2(x) = 4
The values of x in the interval [0, 2π] that satisfy the equation 8sin(2x) = 4 are π/12 and 5π/12.
To find the values of x that satisfy the equation 8sin(2x) = 4 in the interval [0, 2π], we can solve for x by isolating sin(2x) first and then finding the corresponding angles.
Let's solve the equation step by step:
8sin(2x) = 4
Divide both sides of the equation by 8:
sin(2x) = 4/8
sin(2x) = 1/2
To find the values of x, we need to determine the angles whose sine is 1/2. These angles occur in the first and second quadrants.
In the first quadrant, the reference angle whose sine is 1/2 is π/6.
In the second quadrant, the reference angle whose sine is 1/2 is also π/6.
However, since we're dealing with 2x, we need to consider the corresponding angles for π/6 in each quadrant.
In the first quadrant, the corresponding angle is π/6.
In the second quadrant, the corresponding angle is π - π/6 = 5π/6.
Now, let's find the values of x in the interval [0, 2π] that satisfy the equation:
For the first quadrant:
2x = π/6
x = π/12
For the second quadrant:
2x = 5π/6
x = 5π/12
Therefore, the values of x in the interval [0, 2π] that satisfy the equation 8sin(2x) = 4 are π/12 and 5π/12.
So, the comma-separated list of values is π/12, 5π/12.
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What is the perimeter of the composite figure?
A. 119.5 cm
B. 85 cm
C. 107.5 cm
D. 97 cm
60 students recorded their favourite drink. The results are shown in the pie chart.
a) Calculate the angle for the sector labelled Lemonade.
b) Calculate the number of students who chose Banana shake.
Apple juice
66°.
120°
Lemonade
Banana shake
Cola
Plz with steps urgent
Answer:
a) 360 -(66+120+90)=84
b)90 from 360
f x from 66
x=(90 x 66)÷360=16.5
Graph the following system of inequalities.
Y≥x - 2
Y ≤ 4x - 2
Enter the amplitude of the function f(x).
f(x)=−sin(3x)−1
A graduate student is designing a research study. She is hoping to show that the results of an experiment are statistically significant. What type of p-value would she want to obtain?.
Answer: significant
Step-by-step explanation:
at a cafeteria, mary orders two pieces of toast and a bagel, which comes out to $\$3.15$. marie orders a bagel and a muffin, which comes out to $\$3.30$. maria orders a piece of toast, two bagels, and three muffins, which comes out to $\$9.15$. how many cents does one bagel cost?
One bagel costs 155 cents.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.
Let x = cost of one bagel
y = cost of one toast
z = cost of one muffin
If two pieces of toast and a bagel costs $3.15, then 2y + x = 3.15.
2y + x = 3.15 ⇒ x = 3.15 - 2y (equation 1)
If a bagel and a muffin costs $3.30, then x + z = 3.30.
x + z = 3.30 (equation 2)
Substitute equation 1 to equation 2.
x + z = 3.30 (equation 2)
3.15 - 2y + z = 3.30 ⇒ z = 0.15 + 2y (equation 3)
If a piece of toast, two bagels, and three muffins costs $9.15, then
y + 2x + 3z = 9.15 (equation 4)
Substitute equations 1 and 3 to equation 4.
y + 2x + 3z = 9.15 (equation 4)
y + 2(3.15 - 2y) + 3(0.15 + 2y) = 9.15
y + 6.30 - 4y + 0.45 + 6y = 9.15
3y = 2.4
y = 0.8
Substitute the value of y to equation 1.
x = 3.15 - 2y (equation 1)
x = 3.15 - 2(0.8)
x = 1.55
Hence, the cost of one bagel is $1.55 or 155 cents.
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An account pays 9% per year simple interest. In year 1, the amount in the
account is $750. How much is in the account in year 6?
Answer:
$405
Step-by-step explanation:
SI=PTR/100
=9*1*750/100
=$ 67.50
In 6 yrs= 67.50*6
=$405
Answer:
The answer is $1087.50
I got it wrong because someoneeeeeee didnt give the right answer (2 people to be exact)
What is the future value of an annual deposit of $800 earning 6 percent for 15 years
Why Eulerian path can be implemented in linear time, but not Hamiltonian path?
Eulerian path can be implemented in linear time because it follows a specific rule: a connected graph can have an Eulerian path if and only if it has either zero or two vertices of odd degree.
This means that the algorithm can quickly determine whether or not a graph has an Eulerian path by simply counting the number of odd degree vertices. This can be done in linear time, making the implementation of Eulerian path efficient and fast.
On the other hand, Hamiltonian path does not follow a specific rule, and there is no known efficient algorithm to determine whether or not a graph has a Hamiltonian path.
This means that the implementation of Hamiltonian path requires checking all possible paths in the graph, which can take a long time and is not efficient. Therefore, Hamiltonian path cannot be implemented in linear time like Eulerian path can.
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Theo mows a lawn. After working for 1 3/5 hours, he has mowed 7/9 of the lawn. Can Theo mow the lawn in 2 hours if he continue to mow at the same rate?
Yes, he can mow the lawn in 2 hours.
What is work done?We can define the work done as, a work done in a given period of time.
Given that, Theo mows a lawn. After working for 1 3/5 hours, he has mowed 7/9 of the lawn
In \(1\frac{3}{5}\) hours he mows 7/9 part of lawn
Therefore, in 8/5 hours he is mowing 7/9 part of lawn
In 1 hour = 7/9*5/8 = 35/72
In 2 hours = 35/72*2 = 35/36 ≈ 1
Hence, Yes, he can mow the lawn in 2 hours.
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There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?
The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.
To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.
Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.
To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.
Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.
Therefore, the slope of the line that divides the region into two equal areas is 5.
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Find all 3 solutions: 3 − 42 − 4 + 5 = 0
Answer:
Step-by-step explanation:
If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology
The roots are 14.09, 0.30 and -0.39 to nearest hundredth.
Clara created a coordinate grid of her city. The bowling alley is located at (10, 12) and the skating rink is located at (-6, -4). Halfway between the bowling alley and skating rink is the movie theater. clara's house is halfway between the movie theater and skating rink. what are the coordinates of clara's house?
Answer:(-2,0)
Step-by-step explanation:
you just kinda have to guess tbh that’s what i did