The following graph shows a proportional relationship
What is the constant of proportionality between y and z in the graph?
y
6
5-
4
3+
2+
1+
6
Constant of proportionality=
Answers
Answer:
The constant of proportionality between 'y' and 'x' in the graph is 0.75
Step-by-step explanation:
The constant of proportionality is the constant ratio between two quantities that are directly proportional.
When two quantities are directly proportional, then a percentage increase in one of the quantities will result in an equal percentage increase in the other quantity, and the two quantities are therefore, increasing at the same rate to each other
From the graph we have;
When x = 0, y = 0, all graphs of directly proportional relationships have x = 0 when y = 0
However;
When x = 2, y = 1.5
When there is an 100% increase, we have;
When x = 2 + 100/100 ×2 = 4, y = 1.5 + + 100/100 ×1.5 =3
Therefore, when x = 4, y = 3
The constant of proportionality = The ratio between each 'y' and 'x' value
∴ The constant of proportionality = y/x = 1.5/2 = 3/4 = 0.75
Therefore;
The constant of proportionality between 'y' and 'x' in the graph = 0.75.
Related Questions
how do i get only 50 point questions
Answers
Answer:
what?
Step-by-step explanation:
if your asking to filter out all questions for only those that give you 50 points, its not possible at this moment
If (5^n)^3 = 5^12 then n= ?
6
Answers
Answer: n=4
Step-by-step explanation:
Uh I did some trial and error and it came up with the right answer
The lengths, in cm, of the sides of a triangle are 3x – 5, 2x – 1 and x + 1 (a) Write down an expression, in terms of x, for the perimeter of the triangle.
Answers
Answer: [tex]6x-5[/tex]
Step-by-step explanation:
Given
The side lengths of a triangle are [tex]3x-5, 2x-1,\text{and}\ x+1[/tex]
Perimeter(P) is the sum of the side length of the triangle i.e.
[tex]\Rightarrow P=3x-5+2x-1+x+1\\\Rightarrow P=6x-5[/tex]
Therefore, the perimeter of the triangle is [tex]6x-5[/tex]
determine equation for line that is perpendicular to x=-2 and passes through the point (6,1)
Answers
Answer:
y = 1
Step-by-step explanation:
can someone help me
Answers
ASAP HELP NEEDED, TAKING A TEST
Question: Based on the data set above for the hours per day sixth graders spend using an electronic device, what is the mean number of hours sixth graders use an electronic device?
No links, useless words, or anything like that. I will report you.
Answers
Answer:
Step-by-step explanation:
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
1+1+1+1+2+3=9
2+4+4+5+6+6+7+8+8=50
50/9=5.55555555556
or
9/50=0.18
Find the missing length of the
figure.
20 cm and 12 cm
Answers
Answer:
16 cm
Step-by-step explanation:
Since all sides of a square are equal
Side x can be gotten using pythagoras theorem
hypothanous² = adjacent² + opposite²[tex] {20}^{2} = \: {12}^{2} \: + \: {x}^{2} \\ 400 \: = \: 144 \: + \: {x}^{2} \\ {x}^{2} \: = \: 400 \: - \: 144 \\ {x}^{2} \: = 256 \\ x = \sqrt{256} \\ x = 16cm[/tex]What is the value of this expression when a= 3 and b- -2? (3a^-2 b^6)/(2a^-1 b^5)^2
No links please. Will give Brainlest on who is right. (This gamer girl is bad at math uwu)
Answers
Answer:
1
Step-by-step explanation:
PLEASE HELP WORTH 15 POINTS
Answers
Question 10 of 10
Sample A and sample B are from the same population. If the sample
proportion for sample A is 0.53, the sample proportion for sample B has to be
0.53
A. True
B. False
Answer is false
Answers
Answer:
It’s false
Step-by-step explanation:
It doesn’t need to be the same
Devontae and three of his friends drive the Pennsylvania Turnpike from Ohio to New Jersey. If they split the $47.00 toll equally, how much does each person pay?
Answers
NEED HELP ASAP!!! PLZ HELP!!!!
Answers
Answer:
45.8
Step-by-step explanation:
Please help..
Solve for the area of the figure below and show work.
Answers
Answer and Step-by-step explanation:
1. We can see that this kite-shape has 4 triangles in it.
The area of a triangle is as follows:
[tex]A = \frac{bh}{2}[/tex]
Where:
b = Base (length)
h = Height
Top Right Triangle Area:
b = 9
h = 3
A = [tex]\frac{3 * 9}{2}[/tex]
A = [tex]\frac{27}{2}[/tex]
Bottom Right Triangle Area:
b = 9
h = 3
A = [tex]\frac{3 * 9}{2}[/tex]
A = [tex]\frac{27}{2}[/tex]
Top Left Triangle Area:
b = 4
h = 3
[tex]A = \frac{4*3}{2}[/tex]
A = [tex]\frac{12}{2}[/tex]
A = 6
Bottom Left Triangle Area:
b = 4
h = 3
[tex]A = \frac{4*3}{2}[/tex]
A = [tex]\frac{12}{2}[/tex]
A = 6
Now, we add all the areas together to get the area of the kite figure.
A = [tex]\frac{27}{2}[/tex] +
A = 27 + 12
A = 39
The area of the kite figure is 39 [tex]m^{2}[/tex].
2. We have to find the area of the trapezoid.
(I'm not sure if the 9 is for the entire bottom side length)
If the bottom side length is 9, then we would use the formula:A = [tex]\frac{a + b}{2} h[/tex]
to find the area of the entire trapezoid.
A = [tex]\frac{2.4 + 9}{9}[/tex] × 8.2
A ≈ 46.74 [tex]mi^{2}[/tex]
#teamtrees #PAW (Plant And Water)
what value of 3x makes the equation true?
5x+3x=5x+15/2
Answers
Answer:
2.5
Step-by-step explanation:
when you 5x automatically cancels, and 7.5 / 3 is 2.5
Wyatt does 29 push-ups in the morning and 36 more push-ups in the evening. If he does the same number of push-ups every day of the week for 4 weeks, about how many push-ups will he do in all?
Answers
Answer: 1,820 Pushups
Step-by-step explanation: 29+36=65
65 x 7 (days in a week)=455
455 x 4(as in the 4 weeks)=1,820 Pushups total
I hope this helped! let me know if you need more help! :)
Doug is in line at the store. He has three items that cost $4.50, $3.05, and $1.50. Explain how Doug can add the cost of the items mentally before he pays for them.
Answers
Answer:
He can add through calculater or by doing addition in his mind
Find the area.I will mark the BRAINIEST
Answers
Answer: C. 64 ft
Step-by-step explanation:
Find the volume of the figure
Answers
Answer:
384
Step-by-step explanation:
L times W times H
1. A line has a slope of 6 and includes the
points (-1, q) and (0, -7). What is the
value of q?
Answers
Answer:
q = - 13
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 6
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, q) and (x₂, y₂ ) = (0, - 7)
m = [tex]\frac{-7-q}{0+1}[/tex] = - 7 - q , then
- 7 - q = 6 ( add 7 to both sides )
- q = 13 ( multiply both sides by - 1 )
q = - 13
Answer:
q = -13?
Step-by-step explanation:
the equation is y = mx + c
m is the gradient
c is the y-intercept
where the line crosses the y axis
If 6 is the gradient then the equation is
y = 6x + c
Find c by using the coordinates given:
-7 = ( 6× 0) +c
-7 = 0 + c
c = -7
the equation is y = 6x -7
Substitute the other coordinates to find q:
y or q = (6 ×-1) - 7
q = -6 -7
q = -13
Solve the equation on the interval [0,2pi)
Answers
The value of θ within the interval is 210 and 330 degrees
Given the equation;
[tex]2sin^2 \theta = 5sin \theta - 3[/tex]
Let P = sinθThe equation will become;
2P² = 5P - 3
2P² - 5P - 3 = 0
Factorize;
2P² - 6P + P- 3 = 0
2P(P-3) + 1(P -3) =0
2P + 1 = 0 and P - 3 = 0
p = -1/2 and 3
Since P = sinθ
sinθ = -1/2
θ = -30 degres
Since sine is negative in the second 3rd and 4th quadrant
θ = 180 + 30 = 210 degrees
θ2 = 360 - 30 = 330 degrees
Hence the value of θ within the interval is 210 and 330 degrees
Learn more on trigonometry here: https://brainly.com/question/24349828
x + 2x +17=25 I need the answer and need do you know how to check if it's right
Answers
Answer:
x=8/3
Step-by-step explanation:
x+2x+17=25
3x+17=25
3x=8
x=8/3
Answer:
X = [tex]\frac{8}{3\\}[/tex]
Step-by-step explanation:
Which expression has a value of -8?
A 14 + 2(−5) − (3)(9)
B (10 ÷ 5) − (2 ∙ 4) − 5 + 8
C −4 − 5 − 1 − 2(4) + 10
D 12 − 2(4) + (5 − 2) − 33
Answers
explanation:
simplify 2 x 4 to 8
-4-5-1-8+10
simplify -4-5 to -9
-9-1-8+10
simplify -9-1 to -10
-10-8+10
simplify -10-8 to -18
-18+10
simplify
-8
The Ferris wheel at a state fair has a radius of 60 feet,
rotates at a constant speed, and completes 1 rotation in
4 minutes. How many degrees does the Ferris wheel
rotate in 30 seconds?
A. 20°
B. 24°
C. 30°
D. 45°
E. 48°
Answers
is 30x176 is three times larger than 10x176
Answers
Answer:
yes
Step-by-step explanation:
Alyssa has 30 pencils, where 60% of the pencils are sharpened. How many sharpened pencils does Alyssa have?
Answers
Answer:
18 sharpened pencils
Step-by-step explanation:
Total = 30 pencils
100% = 30 pencils
1% = 30 ÷ 100 = 0.30
60% = 0.30 x 60 = 18
Answer:
18 sharpened pencils
Step-by-step explanation:
the percent 3/5 can be multiplied by 6 to give u 18/30
Find values for p and q so that the equation has infinitely many solutions.
px - 2 = 4x + x + 9
p =
Answers
First what you should do is subtract the 2 on both sides
You’ll get px = 4x+x+7 then add the x to 4x
Px= 4x^2 +7
Dived the x on the left on both sides like this px/x = 4x^2+7/x
P= 4x+7
The larger triangle is a dilation of the smaller triangle with a center of dilation at (1,−1)
What is the scale factor of the dilation? No Links and brainlest
18
14
4
8
Answers
Answer:
Scale factor = 4
Step-by-step explanation:
Scale factor = [tex]\frac{\text{Dimension of the larger (Image) triangle}}{\text{Dimension of the smaller (Preimage) triangle}}[/tex]
From the given triangle,
Length of one side of the larger triangle = 8 units
Length of the corresponding side of the smaller triangle = 2 units
By substituting the values in the formula of scale factor,
Scale factor = [tex]\frac{8}{2}[/tex]
Scale factor = 4
1. :4
32+4 x (16 x 2)-2-
37:
---
Answers
Answer
Step-by-step explanation:
mulitiply the numbers
add the numbers
rearrange the numbers
10
Find the value of x.
8
9
X
*15
X=
Answers
Answer:
x = 19
Step-by-step explanation:
Here, we want to find the value of x
To get this, we use one of the important circle theorems. This is the theorem of secant segments
We have this that;
8(8 + x)= 9(9 + 15)
64 + 8x = 216
8x =
216-64
8x = 152
x =
152/8
x = 19
Find the measure of angle H
Answers
Answer:
80
Step-by-step explanation:
All triangle angles add up to 180 so:
4x - 20 + 2x + 2x = 180
8x - 20 = 180
8x = 200
x = 25
<H:
4x - 20
4(25) - 20
100 - 20
80
