Answer:
Given function f(x) = x + 2
The co-ordinates of ( -2 , 0) , (1 ,3 ),( 2,4)
Step-by-step explanation:
Given function
\(f(x) = \frac{x^{2}- 3 x -10 }{x -5}\)
let \(y = f(x) = \frac{x^{2}- 3 x -10 }{x -5}\)
The Factor \(x^{2} - 3 x - 10\)
x ² - 5 x + 2 x - 10
x ( x -5) + 2 (x-5)
\(f(x) = \frac{x^{2}- 3 x -10 }{x -5} = \frac{(x-5)(x+2)}{x-5} = x +2\)
y = x +2
The co-ordinates of ( -2 , 0) , (1 ,3 ),( 2,4)
the independent variable in either a before/after t or a within subjects f is always of what data scale?the independent variable in either a before/after t or a within subjects f is always of what data scale?
The independent variable in either a before/after t-test or a within-subjects ANOVA is always measured on a nominal or categorical scale.
This is because these statistical tests are used to compare means of two or more related groups, where the independent variable represents the different conditions or time points in which the dependent variable is measured.
For example, in a before/after t-test comparing the effectiveness of a medication, the independent variable would be the two time points (before and after), which are categorical in nature. Similarly, in a within-subjects ANOVA comparing three different treatment conditions, the independent variable would be the three treatment conditions, which are nominal in nature.
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how else could you prove if x^3-a^3=(x-a)(x^2+ax+a^2)
x^3 - a^3
The above expression represent differnt of 2 cubes
This can be re- written as
(x - a)^3
(x - a) ( x ^2 + ax + a^2)
expand the bracket
x * x^2 + ax*x + x *a^2 - a * x^2 - a * ax - a * a^2
= x^3 + ax^2 + a^2x - ax^2 - a^2x - a^3
collecting the like terms
= x^3 + ax^2 - ax^2 + a^2x -a^2x - a^3
ax^2 - ax^2 = 0
a^2x - a^2x = 0
Therefore
= x^3 + 0 + 0 - a^3
= x^3 - a^3
HELP
add.
(8n^2 + 7n + 4) + (2n^2 + 6n + 1)
Answer:
the answer is 10n^2+13n+5
A line segment has endpoints (0,4) and (5,6).
What are the coordinates of the midpoint?
A. (5/2, -5)
B.(0,6)
C. (3,9)
D. (5/2, 5)
Answer:
D.
Step-by-step explanation:
because if its 0.6 then the line segment of 0.4 divided by 5.6 is you're mom
How do you find the tangent between circles?
To find the tangent between two circles, you need to draw a line that is tangent to both circles at the same point. This point of tangency is the point where the two circles meet.
To draw the tangent line, you can first draw a line connecting the centers of the two circles. This line will bisect the point of tangency. Next, draw a perpendicular line to this bisecting line passing through the point of intersection of the circles. The intersection of this line with each of the circles will be the points of tangency. Connect these two points of tangency with a line, and you will have drawn the tangent line between the two circles.
The tangent line between two circles is useful in solving problems related to geometry and physics, such as determining the position of a moving object relative to two stationary objects represented by the circles.
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A lamina occupies the part of the disk x2 + y2 < 16 in the first quadrant and the density at each point is given by the function p(x, y) = 5(x2 + y2). A. What is the total mass? 32pi B. What is the moment about the x-axis? 1024/5 C. What is the moment about the y-axis? 1024/5 D. Where is the center of mass? ( 1024/5 1024/5 . 1024/5 ) E. What is the moment of inertia about the origin? 1024/3
A. The total mass is 40π.
B. The moment about the x-axis is 1024/5.
C. The moment about the y-axis is also 1024/5.
D. The center of mass is located at (8/5, 8/5).
E. The moment of inertia about the origin is 1024/3.
A. The total mass can be found by integrating the density function over the region:
m = ∬D p(x,y) dA
= ∫0^2π ∫0^4 5(r^2)(r dr dθ)
= 40π
Therefore, the total mass is 40π.
B. The moment about the x-axis can be found by integrating the product of the density function and the square of the distance to the x-axis over the region:
Mx = ∬D y p(x,y) dA
= ∫0^2π ∫0^4 5(r^2)(r sinθ)(r dr dθ)
= 1024/5
Therefore, the moment about the x-axis is 1024/5.
C. The moment about the y-axis can be found by integrating the product of the density function and the square of the distance to the y-axis over the region:
My = ∬D x p(x,y) dA
= ∫0^2π ∫0^4 5(r^2)(r cosθ)(r dr dθ)
= 1024/5
Therefore, the moment about the y-axis is 1024/5.
D. The center of mass can be found using the formulas:
xbar = My / m
ybar = Mx / m
Plugging in the values we found in parts B and C, we get:
xbar = (1024/5) / (40π) = 8/5
ybar = (1024/5) / (40π) = 8/5
Therefore, the center of mass is at the point (8/5, 8/5).
E. The moment of inertia about the origin can be found by integrating the product of the density function and the square of the distance to the origin over the region:
I = ∬D (x^2 + y^2) p(x,y) dA
= ∫0^2π ∫0^4 5(r^2)((r^2 sin^2θ) + (r^2 cos^2θ))(r dr dθ)
= 1024/3
Therefore, the moment of inertia about the origin is 1024/3.
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WILL MARK BRAINLIEST
Which linear function represents the line given by the point-slope equation y + 7 =-(x + 6)?
•f(x)= -2/3x -11
•f(x)=-2/3x-1
•f(x)=-2/3x+3
•f(x)=-2/3x+13
Answer:
im 6 sorry
Step-by-step explanation:
Find the coordinates of the vertex of the following parabola algebraically.
Write your answer as an (x, y) point.
y = x2
Answer:
I have no idea what it is sorry
Given the following information calculate the EAC and select from list below. Project is planned for 12 months
PV $30000
EV $26000
AC$29000
BAC $252000
a. $293,023.25
b. $296,023.78
c. $197, 043.96
d. $256,354,47
The correct answer for the Estimate at Completion (EAC) based on the given information is not among the provided options. The calculated EAC = $319,772.19.
Given the following information calculate the EAC and select from the list below. The project is planned for 12 months PV $30000 EV $26000 AC$29000 BAC $252000.The correct answer is option A) $293,023.25.
What is EAC? EAC (Estimate at Completion) refers to the total expected cost of the project. EAC includes the actual cost incurred to date as well as the expected cost required to complete the remaining project work.
The formula for EAC is as follows:
EAC = AC + (BAC - EV) / (CPI * SPI)
EAC= Estimated Cost at Completion, BAC= Budget at Completion, AC= Actual Cost, CPI= Cost Performance Index, SPI= Schedule Performance Index, EV= Earned Value, and PV= Planned Value.
Given, PV (Planned Value) = $30000EV, (Earned Value) = $26000, AC (Actual Cost) = $29000, BAC (Budget at Completion) = $252000.
Now, calculate CPI and SPI.
CPI (Cost Performance Index) = EV / AC = 26000 / 29000 = 0.8965SPI
(Schedule Performance Index) = EV / PV = 26000 / 30000 = 0.8667
Calculate EAC using the following formula:
EAC = AC + [(BAC - EV) / (CPI * SPI)]EAC = 29000 + [(252000 - 26000) / (0.8965 * 0.8667)]
EAC = 29000 + [226000 / 0.7773]
EAC = 29000 + 290772.19
EAC = $319,772.19
Therefore, the correct answer is not in the given options.
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WILL GIVE BRAINLIEST!!!!!!!!!!!
Answer:
[tex)63^{\circ}\)
Step-by-step explanation:
\(m\angle EHF+27^{\circ}=90^{\circ} \implies m\angle EHF=63^{\circ}\)
Answer:
Since this is a 90 degrees right angle, and FHG is 27 degrees, we can subtract. 90 - 27 is 63.
Line EHF is 63 degrees
Step-by-step explanation:
The ratio of boys to girls in the freshman class is 2 : 3. If there are 120 boys in the class, how many are girls? *
40
120
80
180
A conveyor belt moves at a constant rate of
12 feet in 3 seconds. A second conveyor
belt moves 16 feet in 4 seconds. Is this a proportional relationship, why or why not.
Answer:
Yes!!!
Step-by-step explanation:
Well, 12/3=4 16/4=4
4=4
Mark me Brainliest!!!
UwU
Yes, the conveyors are in a proportional relationship.
Given,
A conveyor belt moves at a constant rate of 12 feet in 3 seconds.
A second conveyor belt moves 16 feet in 4 seconds.
We need to find whether the two conveyors are in proportion relationship.
What is a proportional relationship?
There is a proportional relationship if the ratios of each pair of values are the same.
We have,
- First conveyor belt
12 feet in 3 seconds.
Ratio = 12 / 3 = 4
- Second conveyor belt
16 feet in 4 seconds.
Ratio = 16 / 4 = 4
Ratios are the same.
4 = 4
Thus the conveyors are in a proportional relationship.
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what statement is true about this equation -4(2p + 5) + 8p = -11 A. The equation has one solution, p = 2. B. The equation has one solution, p = -2 C. The equation has no solution. D. The equation has infinitely many solutions.
Answer:
C) The equation has no solution .Step-by-step explanation:
To find:-
The correct choice.Answer:-
The given equation to us is,
\(\longrightarrow -4(2p+5) + 8p = -11 \\\)
Simplify by opening the brackets,
\(\longrightarrow -8p - 20+8p = -11 \\\)
Rearrange the terms,
\(\longrightarrow (-8p + 8p ) - 20 = -11\\\)
Both the terms inside the brackets would cancel each other and the resultant will be 0 ,
\(\longrightarrow -20 = -11 \\\)
Here we arrived a contradiction, -20 is not equal to -11 .
Henceforth, the system has no solutions .
Therefore, the correct choice is option C .
What is the slope of the line passing through the points (1, -5) and (4, 1)?
A. 2
B. -4/5
C. 5/4
D. -2
Answer:
5/4
Step-by-step explanation:
m = y2-y2 / x2-x3
5. i. Which of the following is an example of a chemical property?
A. color
C. the ability to rust
B. density
D. phase
ii. Why?
The answer is C. Ability to rust. This is because rusting is a chemical property of a substance, which is caused by environmental factors causing said substance to tarnish.
Solve for x
x/5 + 1 = 7
Steps:
Step 1: Simplify both sides of the equation.
1 /5x+1=7
Step 2: Subtract 1 from both sides.
1/5x+1−1=7−1
1/5x=6
Step 3: Multiply both sides by 5.
5*(1/5x)=(5)*(6)
Description:
Since we are solving for x first steps is to Simplify both sides of the equation. Then subtract 1 from both sides. After that multiply both sides by 5 and you will get your answer. The correct answer for this question is x=30.
Answer: x=30
Please mark brainliest
Hope this helps.
The value of x from the given equation is 30.
The given equation is x/5 +1=7.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, x/5 +1=7
Transpose 1 to other side of the equation, we get
x/5 =7-1
x/5 = 6
Transpose 5 to other side of the equation, we get
x = 6×5
x = 30
Therefore, the value of x from the given equation is 30.
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factorise x^2-6x-55=0
Answer:
(x+5)(x-11)=0
Step-by-step explanation:
x^2-6x-55=0
[Multiply the coefficient of last and first, (55*1=55) and find such a factor of it such that its product is equal to the product of coefficient of last and first and such that it adds or subtracts(11-5=6)(depending on the sign of last coefficient) up to the coefficient of middle term]
x^2-11x+5x-55=0
x(x-11)+5(x-11)=0
(x+5)(x-11)=0
Which statement is true regarding the graphed functions?
f(0)=g(0) f(-2)=g(-2) f(0)=g(-2) f(-2)=g(0)
Answer:
f(-2)=g(-2)
Step-by-step explanation:
1. Find the general solution of the nonlinear equation dy\dz = 3²+Bay+ \3: Show that the equation is homogeneous with respect to andy and use the transformation y=zv(z).
We obtain: ∫dv/[(3² + Ba|z|)v + √(3)|z|] = ∫dz/|z|. The resulting expression will provide the general solution for v(z).
To find the general solution of the nonlinear equation dy/dz = 3² + Bay + √(3), we first need to show that the equation is homogeneous with respect to y. Then we can use the transformation y = zv(z) to simplify the equation. To show that the equation is homogeneous, we substitute y = zv(z) into the equation dy/dz = 3² + Bay + √(3) and differentiate with respect to z: dy/dz = dv/dz * z + v. Next, we substitute this expression back into the original equation: dv/dz * z + v = 3² + Bazv(z) + √(3). To simplify further, we divide the entire equation by z: dv/dz + v/z = 3²/z + Bav + √(3)/z
Now we have a linear ordinary differential equation in terms of v(z). Since this equation is linear, we can solve it using standard techniques. The general solution for this linear equation will involve an integrating factor. The integrating factor is given by I(z) = exp(∫(1/z)dz), which simplifies to I(z) = exp(ln|z|) = |z|. Multiplying the entire equation by the integrating factor, we get: |z| * dv/dz + v = 3²|z|/z + Ba|z|v + √(3)|z|/z. Simplifying further: |z| * dv/dz + v = 3²|z| + Ba|z|v + √(3)|z|
This is now a separable first-order linear equation. We can rearrange it as: dv/[(3² + Ba|z|)v + √(3)|z|] = dz/|z|. Integrating both sides of the equation with respect to z, we obtain: ∫dv/[(3² + Ba|z|)v + √(3)|z|] = ∫dz/|z|. The left-hand side can be integrated using partial fractions, and the right-hand side can be integrated using the natural logarithm. The resulting expression will provide the general solution for v(z).
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g etween two variables may be explained away by the presence of another variable that accounts for the original correlation. These relationships are known as
A spurious correlation is a correlation between two variables that appears to be causally linked but is actually due to the influence of a third variable that is not considered. The correct answer is spurious correlation.
Spurious correlations are correlations that exist between two variables, but they are not actually causally related to one another, despite the fact that they appear to be causally related at first glance. The relationship between two variables may be accounted for by a third variable that was previously overlooked or not considered, causing the original correlation to be explained away. Spurious correlations are commonly found in science and research, and they can lead to misleading results if not properly identified and accounted for. It is critical to account for all potential confounding variables in order to establish causal links between variables and avoid spurious correlations. Therefore, researchers must carefully consider all variables that might influence the relationship between two variables to avoid drawing inaccurate conclusions.
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What is the growth factor when something is decreasing by:
15.7%
0.12%
When something decreases by 15.7%, the growth factor is about 1.182 and when something decreases by 0.12%, the growth factor is about 1.00012.
In math, what is the definition of multiplying?
Multiplication is a mathematical process that shows the amount of times a number has been added to itself. It is represented by the multiplication symbols (x) or (*). Division is a mathematical process that shows how many equal amounts add up to a given quantity.
If something decreases by 15.7%, the increase in the factor is 100 / (100 - 15.7) Equals 1.182.
As a result, when something decreases by 15.7%, the growth factor is about 1.182.
When something falls by 0.12%, the expansion factor is 100 / (100 - 0.12) = 1.00012.
As a result, when something decreases by 0.12%, the growth factor is about 1.00012.
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a major risk of the delegate model of representation is that
ASAPPPPPP PLEASE HELP MEEEEEEEEEEEEEEEEEEEE
Answer:
4 weeks per level
Step-by-step explanation:
notice the pint (1,4)
the next is (2, 8)
meaning that in 4 weeks she completes 1 level and in 8 weeks she completes 2 levels.
PLEASE HELP!! I NEED THIS ASAP
Step-by-step explanation:
look at the graph !
there is an explicit horizontal limit line at y = -1.
no such vertical line for a limit for x.
as usual for exponential functions, f(x) grows rapidly, but is still valid for all x of R.
so, D is the right answer.
when x gets more and more to the left, f(x) grows and grows strongly, and goes to infinity.
when x gets more and more to the right, f(x) gets closer and closer to -1 (but will never reach it, only at infinity ...).
The tanks at the Georgia Aquarium hold approximately 8.4 × 106 gallons of water. The tanks at the Audubon Aquarium of the Americas hold about 400,000 gallons of water. Use a single digit times a power of 10 to estimate how many times greater the amount of water is at the Georgia Aquarium
Answer:
the answer is 20
hope this helped
Step-by-step explanation:
The amount of water at the Georgia Aquarium is 20 times greater than the aquarium of the Americas hold.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the tanks at the Georgia Aquarium hold approximately 8.4 × 10⁶ gallons of water. The tanks at the Audubon Aquarium of the Americas hold about 400,000 gallons of water.
The number of the time will be calculated as below:-
= 8.4 × 10⁶ / 400,000
= 20.1
Therefore, the amount of water at the Georgia Aquarium is 20 times greater than the aquarium of the Americas hold.
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11. the area of a rectangle is given by the relation a = 8x2 + 18x + 7.
determine expressions for the possible dimensions
of this rectangle.
3
b)) determine the dimensions and area of this rectangle if x = 3 cm.
The dimensions of the rectangle are 7cm by 19cm and the area of the rectangle is 133cm².
The area of a rectangle can be determined using the expression a = 8x² + 18x + 7, where a is the area of the rectangle and x is a dimension of the rectangle.
Therefore, we must factorise the above expression as follows in order to determine the expressions for the potential dimensions of the rectangle;a = 8x² + 18x + 7a = 8x² + 14x + 4x + 7a = 2x(4x + 7) + 1(4x + 7)a = (2x + 1)(4x + 7).
Therefore, the possible dimensions of the rectangle are (2x + 1) and (4x + 7).If x = 3cm, the dimensions and area of the rectangle can be determined as follows;Dimensions of the rectangle;l = 2x + 1 = 2(3) + 1 = 6 + 1 = 7cmw = 4x + 7 = 4(3) + 7 = 12 + 7 = 19cm.
Area of the rectangle;a = lw = 7 × 19 = 133cm².Therefore, the dimensions of the rectangle are 7cm by 19cm and the area of the rectangle is 133cm².
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Using the graph what percentage of college graduates believe their education was useful for helping them grow personally and intellectually, but not useful for helping them develop specific skills and knowledge for the workplace?Write your answer as a percentage
62 + 35 = 97
62 represents the people who think the education helped them grow personally
35 represents the people who somewhat believe it helps them develope specific skills in the work place.
93 in total were interviewed for the "helping them grow personally" question
84 in total for the question that talkings about helping the people develop specific skills and knowlege
93 + 84 = 177
If 97 of those people believe the college degree was useful personally and somewhat useful for learning specific skills, we have to find what is 97 of 177 as a percentage.
\(\frac{97}{177}\times100=54.802259887\)54.802259887 rounded is 54.8%
Which means 54.8% of college graduates believe their education was useful for helping them grow personally but not useful for developing specific skills.
uppose that the supply function for milled rice in India is Q = 8 + 9p - 12p, where Q is the quantity in millions of tons of rice per year, p is the price of milled rice in thousands of rupees per ton, and p, is the price of rough rice in thousands of rupees per ton. How does the supply curve change if the price of rough rice increases from 12,000 to 20,000 rupees per ton? M
If the price of rough rice increases from 12,000 to 20,000 rupees per ton, the supply curve of milled rice in India will decrease by 96 million tons per year.
To determine how the supply curve changes when the price of rough rice increases from 12,000 to 20,000 rupees per ton, we need to analyze the given supply function:
Q = 8 + 9p - 12p,
In the supply function, "p" represents the price of milled rice in thousands of rupees per ton. However, there is a typo in the equation provided for the supply function. It appears that the equation contains two terms with the variable "p," which should be corrected.
Assuming the corrected supply function is:
Q = 8 + 9p - 12p',
Where p' represents the price of rough rice in thousands of rupees per ton.
Now, let's calculate the initial supply quantity and then compare it with the new supply quantity after the increase in the price of rough rice.
For the initial price of rough rice (p') at 12,000 rupees per ton:
Q1 = 8 + 9p - 12(12)
Q1 = 8 + 9p - 144
For the new price of rough rice (p') at 20,000 rupees per ton:
Q2 = 8 + 9p - 12(20)
Q2 = 8 + 9p - 240
The change in supply can be calculated as the difference between Q2 and Q1:
Change in supply (ΔQ) = Q2 - Q1
= (8 + 9p - 240) - (8 + 9p - 144)
= -240 + 144
= -96
The change in supply (ΔQ) is -96 millions of tons of rice per year.
Therefore, if the price of rough rice increases from 12,000 to 20,000 rupees per ton, the supply curve of milled rice in India will decrease by 96 million tons per year.
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A 5 inch x 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches
larger than the width and length of the photograph. Which expression represents the perimeter of the frame?
Answer:
Perimeter = 28 + 8x inches
Step-by-step explanation:
Length of the photograph = 7 inches
Width of the photograph = 5 inches
Both the length and width of the frame are 2x inches larger than the width and length of the photograph.
Length of the frame = 7 inches + 2x inches
Width of the frame = 5 inches + 2x inches
Perimeter of the frame = 2(Length + width)
= 2{(7+2x) + (5+2x)}
= 14 + 4x + 10 + 4x
= 28 + 8x inches
Perimeter = 28 + 8x inches
Solve for x.
2(x + 5) + 2 = 4x + 12 - 2x
Hey there!
The answer to your question is infinitely many solutions.
First, we will simplify each side of the equation. On the left side, we are given:
\(2(x+5)+2\)
First, distribute \(2\):
\(2x+10+2\)
Add \(10\) and \(2\):
\(2x +12\)
On the right side, we are given:
\(4x+12-2x\)
So, we subtract \(2x\) from \(4x\):
\(2x+12\)
Now, we have:
\(2x+12=2x+12\)
First, subtract \(2x\) from both sides:
\(12=12\)
We got, \(12=12\), which means \(x\) has infinitely many solutions.
Have a terrificly amazing day! :)