Both lines on the graph represent proportional relationships. What is the constant of proportionality for each line? Choose one option from each drop-down menu to answer the question. Line passes through the point Choose.. . The constant of proportionality between and for line is Chooss.. Choose.. The constant Line passes through the point of proportionality between and for line is Chooss.. pls help soon
Answers
Line a which passes (1, 4) has a constant of proportionality of 4.
Line b runs through (5, 2), with a constant of proportionality of 2/5.
What is the Constant of Proportionality?The constant of proportionality is often represented by the letter "k" and it is used in a mathematical relationship known as a proportionality relationship. The proportionality relationship can be written as y = kx, where y and x are the two variables and k is the constant of proportionality.
This means that the value of y is directly proportional to the value of x and is equal to k times the value of x. The value of k can be found by dividing the value of y by the value of x, when the two variables are in proportion.
Line a passes through the (1, 4), therefore:
constant of proportionality = y/x = 4/1 = 4.
Line b passes through the (5, 2), therefore:
constant of proportionality = y/x = 2/5.
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Related Questions
Given Q(1,-5), R(4,-6), S(-6,5),Q(1,−5),R(4,−6),S(−6,5), and T(-7, y).T(−7,y). Find y such that \overline{QR} \perp \overline{ST}
QR
⊥
ST
.
Answers
The equation of line is calculated and the value of y = 2
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line QR be represented as A
Let the equation of line ST be represented as B
Now , the lines QR is perpendicular to the line ST
And , the product of slopes of lines will be -1
Now , the coordinates of point Q ( 1 , -5 )
The coordinates of point R is R ( 4 , -6 )
The slope of the line QR m₁ = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope m₁ = ( -6 - ( -5 ) ) / ( 4 - 1 )
Slope m₁ = -1/3
Now , the coordinates of point S ( -6 , 5 )
The coordinates of point T is T ( -7 , y )
The slope of the line ST m₂ = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope m₂ = ( y - 5 ) / ( -7 - ( - 6 ) )
Slope m₂ = ( y - 5 ) / -1
Slope m₂ = ( 5 - y )
Now , the product of slopes = -1
m₁ x m₂ = -1
Substituting the values in the equation , we get
( -1/3 ) x ( 5 - y ) = -1
On simplifying the equation , we get
Multiply by 3 on both sides of the equation , we get
- ( 5 - y ) = -3
Multiply by -1 on both sides of the equation , we get
5 - y = 3
Adding y on both sides of the equation , we get
y + 3 = 5
Subtracting 3 on both sides of the equation , we get
y = 2
Hence , the value of y is 2
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Question 9 (2 points)
Lily threw a ball. The balls equation that demonstrated its height and velocity is:
h(x) = -16x² + 3x + 35
What was the initial height that she threw the ball from?
Answers
The initial height of the ball is the y-intercept of the function. The initial height she threw the ball from was 35.
Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax² + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient, and 'c' is called the absolute term of f (x).
The function is as follows:
h(x) = -16x² + 3x + 35
Substitute the value of x = 0.
So, we have:
h(0) = -16(0)² + 3(0) + 35
Evaluate the exponent
h(0) = -16(0) + 3(0) + 35
Evaluate the products
h(0) = 0 + 0 + 35
Evaluate the sum
h(0) = 35
Hence, the initial height she threw the ball from was 35.
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Question
During this same time, the digital print manager tracked the number of visits to the website's
homepage. He found that before launching the new marketing plan, there were 4,800 visits. Over the
course of the next 5 weeks, the number of site visits increased by a factor of 1. 5 each week.
Write an equation to model the relationship between the number of weeks, x, and the number of site
visits, f(x).
Enter the correct answer in the box by replacing the values of a and b.
TT
a а в
sin cos tan sin-'costan-
9
+
o
2 Δ Ο
Σ
U OD
A
yo
>
다
1
5
2
CSC sec cotlog log in
|
4800(0. 081)
Answers
f(x) = 4800 * 1.5^x is the equation to model the relationship between the number of weeks, x, and the number of site visits.
It is said that the number of visits increased by a factor of 1.5 each week, which means it multiplied by 1.5 every week.
So the equation can be modeled as:
f(x) = 4800 * 1.5^x
Where x is the number of weeks and f(x) is the number of site visits.
Note that this equation is only valid for the number of weeks after the new marketing plan has been launched, since before that the number of visits was 4,800.
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is the system linear or non-linear? you need to justify your answer. b) is the system time-varying or time-invariant? you need to justify your answer. c) is the system causal or not causal? you need to justify your answer. d) find the impulse response function of the system
Answers
The given system is :
a) Linear
b) Time-invariant
c) Casual
d) Impulse response function is h(n) = 2δ(n-1) + δ(n-2).
a) Linear: A system is considered linear if it satisfies the superposition principle, meaning that if the inputs x1(n) and x2(n) produce outputs y1(n) and y2(n), respectively, then the output of the system to a weighted sum of inputs is equal to the weighted sum of the outputs. In this system, 2x(n-1) and x(2n) are both linear operations, and the sum of two linear operations is also a linear operation. Therefore, this system is linear.
b) Time-invariant: A system is considered time-invariant if the output is not dependent on the current time, but only on the input and its previous values. In this system, the coefficients 2 and 1 do not change with time, and the system does not depend on the current time. Therefore, this system is time-invariant.
c) Causal: A system is considered causal if the output only depends on the present and past inputs, and not on future inputs. In this system, x(2n) only depends on the past and present inputs, and x(n-1) only depends on past inputs. Therefore, this system is causal.
d) Impulse response function: The impulse response function of the system can be found by taking the unit impulse as the input, solving for the output and normalizing it.
h(n) = 2δ(n-1) + δ(n-2)
where δ(n) is the unit impulse function and h(n) is the impulse response function of the system.
Correct Question :
y(n) = 2x(n-1) + x(2n). is the system linear or non-linear? you need to justify your answer. b) is the system time-varying or time-invariant? you need to justify your answer. c) is the system causal or not causal? you need to justify your answer. d) find the impulse response function of the system
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A
Solve for x.
x =
10
x = 4
x = 5
x = 2
10
4
2
E
B
X
Answers
X=5
determine the value of the f(-3) for the function
Answers
Answer: Undefined
Step-by-step explanation:
[tex]\displaystyle\\x=-3\ \ \ \ \Rightarrow\\\\f(x)=\frac{3x+9}{x^3+4x^2+x-6} \\\\\\f(-3)=\frac{3(-3)+9}{(-3)^3+4(-3)^2+(-3)-6}\\\\\\f(-3)=\frac{-9+9}{-27+4(9)-3-6} \\\\\\f(-3)=\frac{0}{-36+36} \\\\\\f(-3)=\frac{0}{0}\\\\\\\\[/tex]
Find the missing length of the figure.
x=
mm
Answers
The measure of the missing length in the figure, found using Pythagorean Theorem is; x = 37 mm
What is Pythagorean Theorem?Pythagorean Theorem states the relationship between the lengths of the sides of a right triangle. According to Pythagorean Theorem, the sum of the squares of the leg lengths of a right triangle is equivalent to the square of the length of the hypotenuse side.
Please find attached a possible figure in the question, obtained from a similar question posted on the website.
The 13 mm side hypotenuse length of the right triangle on the left indicates a other leg length of the right triangle can be found using Pythagorean Theorem as follows;
Square of the length of the hypotenuse side = Sum of the square of the length of the other two sides
13² = 5² + (second leg length)²
The second leg length of the right triangle on the left = √(13² - 5²) = 12
The 12 mm leg length of the right triangle on the left indicates that the leg length of the right triangle on the right which correspond with the 12 mm leg length on the left is 12 mm
The length of the hypotenuse of the right triangle on the right, which is the missing length, x is therefore;
x² = 12² + 35² = 1369
The measure of the missing length x is therefore;
x = √(1369) = 37
The missing length in the figure is; x = 37 mm
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Write an equation of the parabola that satisfies the conditions.
Vertex: (3, 3); y-intercept: (0, -6)
Answers
The equation of the parabola with the given vertex and y-intercept is:
y = -(x - 3)² + 3
How to Write an Equation of a Parabola with a Given Vertex and Y-intercept?The equation of a parabola in vertex form is given by:
y = a(x - h)² + k
Where (h, k) is the vertex of the parabola, and a is a nonzero constant. To find the equation of the parabola that satisfies the given conditions, we can use the vertex and the y-intercept to find the values of a, h, and k.
The vertex of the parabola is (3, 3), so h = 3 and k = 3. The y-intercept of the parabola is (0, -6), which means that when x = 0, y = -6. Substituting these values into the equation of the parabola, we get:
y = a(x - 3)² + 3
When x = 0, y = -6. Plugging in the value of x and y, we get
-6 = a(0 - 3)² + 3
-6 = 9a + 3
-9 = 9a
a = -1
Therefore, the equation of the parabola that satisfies the given conditions is:
y = -(x - 3)² + 3
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simplify. 1.4x−5x+4−x+3 Enter your answer by filling in the boxes. Use decimal form when necessary.
Answers
1/2x + 3 = 4
What does x equal?
Answers
1/2x = 1|•2
x = 2
PLEASE HELP!!!
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.
T. A. =
Answers
The total area of the pyramid is (24√3 + 72) square units or 113.57 square units.
What is a hexagonal pyramid?A hexagonal pyramid is a 3D design in which the base is hexagonal and the faces or sides are isosceles triangles, which come together to form the hexagonal pyramid at the summit of the pyramid. A hexagonal pyramid has six sides on the base and six isosceles triangles on the sides.
Given a hexagonal pyramid,
base length = 4
slant height = 6
area of pyramid = sum of the area of the base to the lateral area
area of pyramid = A(base) + A(lateral)
Area of base = 3√3/2*(a²)
a = base length = 4
Area of base = 3√3/2*(4²)
Area of base = 24√3 square units
now lateral area or area of triangular faces,
lateral area = 6*1/2*b*h
h = height of triangle = 6
b = base of triangle = 4
lateral area = 6*1/2*4*6
lateral area = 72 square units
total area = A(base) + A(lateral)
total area = (24√3 + 72) square units
Total area = 113.57 square units.
Hence the area of the pyramid is (24√3 + 72) square units or 113.57 square units.
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Given V=4ti-6tj find the Integral of the magnitude over the bounds [-2,2]?
Answers
The integral of the magnitude of a given vector is 0.
What is vector ?
Vector can be defined as the object in which it has both magnitude and direction.
Given
vector , V=4t i-6t j
we have to find the Integral of the magnitude over the bounds [-2,2]
So, Lets integrate the given vector
we get,
-[tex]\int\limits^2_2 { v dt } \, dx[/tex] =
|v| = √4t^2 + (-6t)^2
= √16t^2 + 36t^2
= √52t^2
= 2√13 t
-[tex]\int\limits^2_2 {2\sqrt{13}t } \, dt[/tex] = 2√13 t^2 / 2
when we integrate t , we get t = t^2 / 2
= √13 t^2
=√13 (2^2 - (-2)^2 )
=√13 (4 - 4 )
= 0
Hence, The integral of the magnitude of a given vector is 0.
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This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Select the correct choices to complete the sentence.
TICKETS Jamal has $40 to buy tickets to a performance for himself and his friends. If he buys a $10 membership, he can buy tickets for $5 each. How many tickets can he buy while remaining within his budget?
Part A
If x represents the number tickets Jamal purchases, write an inequality that represents the situation.
, 1 of 4.
Select Choice
+, 2 of 4.
Select Choice
x , 3 of 4.
Select Choice
, 4 of 4.
Select Choice
Part B
Select the correct choices to complete the sentence.
Part B
Solve the inequality.
x , 1 of 2.
Select Choice
, 2 of 2.
Select Choice
Answers
Within his budget, he can still purchase 6 tickets. The inequality is 40 < 5x + 10.
Unitary method: what is it?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
In light of the query
With his $40, Jamal may get tickets for himself, his friends, and a show.
If he spends $10 to join a membership,
Money remaining = $40 - $10 = $30
Now he may purchase the ticket at $5 apiece.
Now, tickets that he may purchase while staying within his budget found using utilizing the unitary technique.
Tickets= $30 / $5
Tickets = 6
As a result, he may purchase the remaining 6 tickets for his budget.
A:
Number of tickets = x
Hence, the inequality is 40 < 5x + 10.
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What do i put in the boxes ?…
Answers
The quotient of the expression 76 ÷ 6 is, 4
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
⇒ 76 ÷ 6
Now, By using division calculation, we get;
| 10 | 2 |
| | | 4
6 | 60 | 16 |
_________
Thus, We get;
The quotient of the expression 76 ÷ 6 is, 4
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A heat source generates heat at a rate of 70. 0 W (1 W = 1J/s). How much entropy does this produce per hour in the
surroundings at 28. 5 °C? Assume the heat transfer is reversible.
Answers
The entropy produced by the heat source is 2.17 J/K per hour.
In order to calculate the amount of entropy produced by a heat source, we need to use the formula for entropy change: ΔS = Q/T,
where Q is the amount of heat transferred and T is the temperature of the surroundings in kelvins.
To convert the temperature to Kelvin, we add 273.15 to the temperature in degrees Celsius.
In this case, the heat source generates 70.0 W of heat and the temperature of the surroundings is 28.5 °C.
So, to find the entropy change per hour, we need to multiply the power generated by the time:
ΔS = (70.0 W) * (3600 s/h) / (28.5+273.15)
This calculation results in approximately 2.17 J/K * h or 2.17 J/K per hour.
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of 4
Workers in an office of 40 staff were asked their favourite type of take-away.
The results are summarised in the table.
Take-away
Pizza
Curry
Fish & chips
Kebab
Other
What fraction of a person is one degree?
Give your answer in its simplest form.
Frequency
4
4
8
5
19
Angle
a
b
C
d
e
Answers
Workers in an office of 40 staff were asked their favourite type of take- away.1/9 bit of a person is one degree.
What's Fraction?
An element of a total is a bit. The number is represented mathematically as a quotient, where the numerator and denominator are resolve. Both are integers in a simple bit. A bit appears in the numerator or denominator of a complex bit. The numerator of a proper bit is lower than the denominator.
The magnitude of an angle is measured using a unit of dimension. In magnitude, 1 degree is original to1/360 of a full gyration.
Degree 1 – direct.
Degree 2 – quadratic.
Degree 3 – boxy.
Degree 4 – quartic( or, if all terms have indeed degree, biquadratic)
Given that;
total workers = 40
Bit of a person = 1 degree
we know that 360 ° = 40 person
so for 1 degree = 40/360 = 1/9
Hence,1/9 bit of a person is one degree.
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I NEED THE ANSWER ASAP plssss-Solve the following multiplying polynomials question:Cindy wants to buy flooring and baseboards for her office. She needs to know how much to buy. What is the area and perimeter of her office?
Answers
The perimeter of a 500-square-foot square is roughly 89.44 feet.
To calculate the perimeter, we must assume the room is square. We take the square root of the area to calculate the length of one side of a square:
√500 = 22.36 feet
As a result, each side of the square is roughly 22.36 feet long.
To get the perimeter, multiply the length by four:
22.36 feet × 4 = 89.44 feet.
This dimension is critical for establishing the quantity of baseboard and flooring required. To make the computation procedure easier, round the measurements to the closest foot. Cindy will be able to evaluate the cost and make an informed buying decision with the aid of this information.
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The question is -
Solve the following multiplying polynomials question: Cindy wants to buy flooring and baseboards for her office. She needs to know how much to buy. What is the perimeter of 500 square feet?
Determine the domain of the graph
Answers
Answer:
x [tex]\geq[/tex] -2
Step-by-step explanation:
The domain is all the possible numbers that x can be.
Help Me Please!!!!!
Homework!
Answers
A graph of the solution of this inequality w ≤ 200 is shown in the image attached below.
How to graph the inequality?In this exercise, we would solve the given inequality by making w the subject of formula as follows;
w/-10 ≤ -20
By multiplying both sides of the inequality by -10, we have the following:
-10 × w/-10 ≤ -20 × -10
w ≤ 200
Next, we would use an online graphing calculator to plot the inequality as shown in the graph attached below. Additionally, the circle on the number line (graph) is closed because of the less than or equal to (≤) symbol.
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The equation represents length Y of Ben and jada's hair in inches after X months which ordered pair (0,0) (4,7) or (4,8)is a solution to the system will their hair ever be the same length explained
Answers
(4, 7) is a solution to the system, will their hair ever be the same length.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
The equation represents length y of Ben and Jada's hair in inches after x months.
And we have equations,
Ben : y = 3/4(x) + 4
Jada : y = 1/4(x) + 6.
Substituting the values of ordered pair,
when x = 0 then y = 0
we get,
Ben : y = 4
Jada : y = 6.
But not equals to y = 0.
When x = 4 then y = 8
we get,
Ben : y = 7
Jada : y = 7.
But not equals to y = 8.
When x = 4 then y = 7
we get,
Ben : y = 7
Jada : y = 7.
This is required solution.
Therefore, (4,7) is a solution.
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Can someone help me asap please?
Answers
By Interception of a point f(x) = 3.75b + 25 and this we get the Value 3.75.
How do you find the interception of a point?A line's x-intercept and y-intercept are the points at which the x- and y-axes cross, respectively.In order to locate the point or points of intersection, we must solve the equation f(x) = g. (x). We shall learn the x value(s) of the intersection point(s) from the solution of this equation. Once we have determined the value for x, we may use it to solve one of the original equations to determine the value of y.Examples :
f(x) = 3.75b + 25
Axis interception points of 3.75b + 25:
X intercepts:(-20 / 3,0),
Y intercepts : (0.25)
Slope of 3.75b + 25: 3.75.
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Can someone please help me with this please please thank you
Answers
Answer: Keith on top, Patricia below Keith, Jim below Patricia, and Sara at the bottom.
Please help me with my math homework! It’s due soon!
Answers
Answer:
The slope of the line is -2.
Step-by-step explanation:
Rise/Run
you have 2 points on the graph since this is a negative slope you start on the top point
you count straight down up to your next point and you should get 8.
then you count to the right to your next point and should get 4.
that would give you 8/4 as your slope.
8/4 simplified is 2.
The slope is 2
write an equation:
an addition equation with one variable that has a solution of 3
Answers
Answer:
x + 5 = 8
Step-by-step explanation:
x + 5 = 8
Subtract 5 from both sides.
x + 5 - 5 = 8 - 3
x = 3
Answer: x+5=8
Step-by-step explanation:
A rectangular pyramid has a length of 7 cm and a width of 9 cm. Its volume is 231 cubic centimeters. Use the formula for the volume of a pyramid to calculate the height of this pyramid. Show all your work. (PLEASE HELP ME)
Answers
Answer:
h = 11cm
Step-by-step explanation:
Rectangular pyramid formula:
[tex] \frac{lwh}{3} [/tex]
therefore
[tex]\frac{7 \times 9 \times h}{3} = 231[/tex]
simplify 7x9=63, then multiply the equation by 3
[tex]63h = 693[/tex]
now divide by 63
[tex]h = 11cm[/tex]
h=11cm
A right rectangular prism measures 12 cm tall, 8 cm long, and 5 cm wide.
A manufacturer would like to double the surface area of this prism. What should be the height of the new prism so that its surface area is doubled?
Enter your answer, to the nearest tenth, in the box.
cm
Answers
Answer:
24
Step-by-step explanation:
12*8*5 =480 current surface
double = 960
so make the 12 into 24 height.
done
A large container holds 8 gallons of water. It begins leaking at a constant rate. After 32 minutes the container has 6 gallons left. At what rate is the water leaking. Express answer as a positive value.
Answers
Answer:
1/16 gallons per minute
Step-by-step explanation:
The water level drops from 8 gallons to 6 gallons in 32 minutes
The volume of water that has leaked is 8 - 6 = 2 gallons
Since this volume of water has leaked in 32 minutes, rate of leak
+ 2/32 = 1/16 gallons per minute
How is solving a compound inequality in compact form similar to solving a simple inequality? How is it different?
Answers
The similarity between solving a compound inequality in a compact form and solving a simple inequality is that the same basic ways of resolving an algebra are followed in both cases. The difference is that any manipulation on one side of the equation must be repeated on all three sides of the compound inequality.
What are the similarities and differences?The similarity between solving a compound inequality and a simple one is that they both follow the same basic principles of solving an algebra.
However, there is a slight difference because any change that is applied in one part of the expression must be spread to other parts of the expression. If we are dividing or multiplying in compound inequalities, the same must apply to all sides.
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Write two expressions (with at least two terms each) that when added together have a sum of -4n + 6.
(Please answer immediately, worth 25 points and i'll mark brainliest)
Answers
The two expressions that add to get a sum of - n + 6 are
A. (-6n) + (6 + 2n) and
B. (- 10n + 2) + (6n + 4)
Now, According to the question:
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
The expression is :
-4n + 6
Now the expression as
A. (-6n) + (6 + 2n)
After adding, we have;
(-6n) + (6 + 2n) = -6n + 6 + 2n
= - 4n + 6
B. (- 10n + 2) + (6n + 4)
After adding we have;
(- 10n + 2) + (6n + 4) = - 10n + 2 + 6n + 4
= - 4n + 6
Hence, The two expressions that add to get a sum of - n + 6 are A. (-6n) + (6 + 2n) and B. (- 10n + 2) + (6n + 4)
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nine percent of americans have rh-negative o blood type. in a random sample of 200 americans, what is the probability that the sample proportion with rh-negative o blood types will be less than 12% (round off to second decimal place)?
Answers
The probability that the sample proportion with rh-negative o blood types will be less than 12% is 0.93.
According to the question,
91 pts nine percent of Americans have rh-negative o blood type.
In a random sample of 200 Americans, what is the probability that the sample proportion with rh-negative o blood types will be less than 12% = ?
by Using central limit theorem,
P(p cap < p) = P(Z<p cap-p/√p(1-p)/n)
so,
P(p cap < 0.12) = P(Z<0.12-0.09/√(0.09×0.91/200)
= P(Z<1.4825)
= 0.9309 (from Z table)
= 0.93 (Rounded to second decimal place)
so, The probability that the sample proportion with rh-negative o blood types will be less than 12% is 0.93.
Learn more about central limit theorem here :-
https://brainly.com/question/18403552
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