7. Is it proportional?
8. If so, what is the constant of
proportionality? (unit rate)
9. Write an equation that
expresses the table in the
form
Y= KX
Answers
Answer:
A unit rate is the rate of change in a relationship where the rate is per 1.
The rate of change is the ratio between the x and y (or input and output) values in a relationship. Another term for the rate of change for proportional relationships is the constant of proportionality.
If the rate of change is yx, then so is the constant of proportionality. To simplify things, we set yx=k, where k represents the constant of proportionality.
If you solve a yx=k equation for y, (like this: y=kx), it is called a direct variation equation. In a direct variation equation, y varies directly with x. When x increases or decreases, y also increases or decreases by the same proportion.
To find y in a direct variation equation, multiply x by the constant of proportionality, k.
For example: Given the relationship y=7x, the constant of proportionality k=7, so if x=3, then y=3×7 or 21.
Given the same relationship, if x=7, then y=7×7, or 49.
Step-by-step explanation:
Answer:
Yes it is. Y=2.5x
Step-by-step explanation:
So, lets start with bthe first values of the table and work our way down:
2x=5y
Lets just divide both sides by the 2:
x=5/2y
This means that for every 1 x, there should be 5/2y's.
Or, for every 1 x, there should be 2.5ys.
Lets check the next few to see if thats correct:
3x=7.5y
Divide both sides by 3:
x=7.5/3
This means for every one x, there are again, 2.5ys.
Lets check one more just to be sure:
4x=10y
Divide both sides by 4:
x=10/4
This means for everyone one x, y equals 2.5ys, yet again,
So we can conclude that the poprotional relationship between x and y is:
When x equals 1, y=2.5
Or
Y=2.5x
Hope this helps!
Related Questions
Using the graph, determine the coordinates of the y-intercept of the parabola.
Answers
Answer:
Y-intercept is 7
Step-by-step explanation:
Y-intercept is when the graph crosses the y-axis
can someone average this out for me and for the term test I made a 36
Answers
Answer: 70.77 or 71 if rounded up
Step-by-step explanation:
Add all the scores then divide to 18.
Find the perimeter of the composite figure 7m 5m 4m 3m
Answers
Answer:
19 just add them toghether 7+5+4+3=19 (m)
Find the surface area of the regular pyramid.
PLS HELP ME
Answers
Answer:
The surface area equals 45.
rome - Test Player
Eest.mapnwea.org/growth/#/test-player
100%
During a debate, Bonnie used 9 minutes to present her opinion, 6 minutes to rebut the opposing opinion, and 5 minutes to summarize.
What percent of the time did she spend summarizing?
A 5%
B. 30%
c. 45%
D. 25%
E. 15%
Answers
D is the answer.
Step-by-step explanation:
9 + 6 + 5 = 20
5/20 = 25%
I hope this helps, have a good day!
Obtuse can have right angles.
True or False
Answers
False. Obtuse is always greater than 90°.
Answer:
False
Obtuse triangles can't have right angles
1. Answer Questions 1(a) through 1(c) for full credit. Show all necessary work.
(Part 1a: 2 points)
(a) Use the website listed below to identify a major league ballpark in which the distance from the right center field fence to home plate is greater than 375 ft. What is the name and location of the major league ballpark that you identified? What is the distance from home plate to the right center field fence in the ballpark?
Please DO NOT choose Kauffman Stadium of Kansas City or Anaheim Angels Stadium. Website link: http://www.andrewclem.com/Baseball/Stadium_lists.html#by_city
Answer:
Name and location:
Distance from home plate to the right center field fence:
© 2016 K12 Inc. All rights reserved. Page 1 of 2 Copying or distributing without K12’s written consent is prohibited.
Math | Graded Assignment | Honors Project: Trigonometry in Baseball
(Part 1b: 5 points)
(b) Draw and label a figure displaying each of the following details for the major league ballpark that you identified:
∙ A triangle showing the relationship between the distance from home plate to the right center field fence, the distance from the right center field fence to third base, and the distance from third base to home plate. Label the sides of the triangle and the known distances and angle measure.
∙ Label the length of the side that represents the distance from the right center field fence to third base x
Answer:
(Part 1c: 8 points)
(c) What is the distance from the right center field fence to third base? Show all of your work and round your answer to the nearest tenth of a foot.
Answer:
Answers
What is the angle of elevation θ that is required for a hit ball to just clear the center field fence when it is hit 2 ft above the ground? Show all of your work and round your answer to the nearest hundredth of a degree.
Distance from Home plate to the center field fence: 425 ft
Height of the center field fence: 8 ft
____________________________
ANSWER:
The fence height = 8ft
The fence height takes 2 ft from the ground and doesn't count towards the angle.
Therefore subtract the difference = 8-2 = 6ft
The fence height from the 2ft to the fence top = 6ft
Angle of elevation (θ):
Tan(θ) = opposite/adjacent
Adjacent = Distance from Home plate to the center field fence = 425 ft
Opposite = 6ft
Tan(θ) = 6/425Tan(θ) = 0.0141θ = arctan(0.0141)arctan = inverse of tangent = tan-¹θ = 0.8078°Angle of elevation (θ) = 0.81°I’ll mark the first person to answer
Answers
Answer:
$3.00 per person $8.00 per vehicle
Step-by-step explanation:
2x3=6 6+8=14
4x3=12 12+8=20
8x3=24 24+8=32
Hope this helps
Answer plzz
2. What fraction of the students spent 7 hours doing homework that
week ? Express in simplest form.*
Hours Spent Doing Homework
Answers
Simplify. 24 7/12 - 4 3/8
20 4/4
20 5/24
20 4/96
5/24
Answers
Answer:
20 5/24
Step-by-step explanation:
helpppppp pleaseeeee
Answers
Answer:
length is 17
width is 14
Step-by-step explanation:
The graph represents the piecewise function:
Answers
Answer:
x if -3is less than x is less than -1
5 is -1 is less than x is less than 1
Step-by-step explanation:
You find the slope of the line for the first piece when the x-values range from -3 to -1.
For the second piece, the line is y=5 because the line is horizontal.
Answer:
x+3; 5
Step-by-step explanation:
The first piece, shows the diagonal part in Quadrant II.
The line segment is colinear with the line y=x+3, because the slope is 1, and the y-intercept is 3. So the piece would be defined as x+3.
The second line segment is the flat one, which has a slope of 0 and its y-intercept is 5. So the piece would be defined as 0x+5 or 5
Please help asap first correct answer will get the brainly crown
25x-22.5=12x+22.5+2x
Answers
11x=45
x=45/11 or ~4.09
help please!! ill mark you as brainliest if it’s correct
Answers
Answer:
[tex] {6}^{2} \times \pi \times 15 + \frac{1}{2} \times \frac{4}{3} \times \pi \times {6}^{3} = 19 \times {6}^{2} \times 3.14 = 2147.76[/tex]
Answer:
Step-by-step explanation:
Hemisphere Formula: ( 2 / 3 ) πR = V
Substitution: ( 2 / 3 ) 3.14 * 6 = 12.56
Cylinder Formula: πR^2 * H = V
Substitution: 3.14 * 6^2 * 15 = 1695.6
1695.6 + 12.56 = 1708.16
Please give me Brainliest if I'm correct ! :)
A bag of marbles contains 4 red marbles and 4 green marbles. Each red marble was labeled with a different number, 1 through 4, and each green marble was labeled with a different number, 1 through 4. Which set represents the event, A, that Karen took a marble that was either green or had an even number?
Answers
Answer:
I think is b
Step-by-step explanation:
please do this <33333
Answers
We know that,
In a right-angled triangle,
Hypotenuse ² = Base ² + Height ²
1 – 10 ² = 6 ² + X ²
Or, X ² = 10 ² – 6 ²
Or, X ² = 100 – 36
Or, X ² = 64
Or, X = √ 64
Or, X = 8 Units
2– X² = 7² + 3²
Or, X² = 49 + 9
Or, X² = 58
Or, X = √58
Or, X = 7.61 Units ( Approx )
3 – 15 ² = EF ² + 9
Or, EF² = 15 ² – 9 ²
Or, EF ² = 225 – 91
Or, EF ² = 134
Or, EF = √ 134
Or, EF = 11.6 Inches ( Approx)
.II} 1 – Here the length of the ladder will be the hypotenuse.
Hence, Hypotenuse = 13 Metre
.Now, The vertical wall will be the height.
Hence, Height = 12 Metre
Distance of the foot of the ladder to the wall will be the base.
Let base be B.
Now, Hypotenuse ² = Base ² + Height ²
Or, 13² = B² + 12²
Or, B² = 13² – 12²
Or, B² = 169 – 144
Or, B² = 25
Or, B = √25
Or, B = 5 Metre
Hence, the distance of the foot of the ladder from the wall is 5 metre apart.
2 x 6/7
SEND HELP!!!!!!!!!!!
Answers
Answer: C. 2 6/7
Hope that helped! :)
Jenelle invested $13000 in two mutual funds. Fund A earned 5% profit during the first year, while Fund B suffered a 2.5% loss. If she received a total of $290 profit, much had she invested in each mutual fund a
Jenelle invested $ ____ fund A
Jenelle invested $ ____into fund B
Answers
Answer:
hola la respuesta es 3900 y 2348
Step-by-step explanation:
espero que te sirva
Which of the following is a line segment shown in the drawing?
Answers
I think the question must be which of the following is not a line segment shown in drawing........
Because three of them are and one isn't. If the question is that, then the answer is LJ.
Help! I will Mark Brainliest!
For the graphed function f(x) = (4)x − 1 + 2, calculate the average rate of change from x = 1 to x = 2.
−3
3
2
−2
Answers
Answer:
Your answer is B. I had some help from my mom.
Step-by-step explanation:
the average rate of change on the interval [1, 2] is found by computing
(f(2) - f(1))/(2 - 1)
= ((4^1+2) - (4^0+2)/1
= (6-3)
= 3
Solve the following system of equations algebraically:
y = x^2 – 10x + 15
y = 2x – 5
Answers
Answer:
(2, -1)
(10, 15)
Step-by-step explanation:
Subtract the second equation from the first
y = x² – 10x + 15
- (y = 2x – 5)
————————————
0 = x² - 12x + 20
Factor
(x - 2)(x - 10) = 0
x = {2, 10}
-------------------
For x = 2
y = 2(2) - 5
y = -1
Solution 1
(2, -1)
----------------------
For x = 10
y = 2(10) - 5
y = 15
Solution 2
(10, 15)
Help quick please, look at the photo I attached
Answers
Answer:
A ≈ 5.6
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] × PQ × PR × sin P
= 0.5 × 5.2 × 2.8 × sin50°
≈ 5.6 ( to 1 dec. place )
What is the weight of the bird in grams on the scale below? I think the answer is 100 grams
Answers
Estimate: 587 is about what percent of 1,012?
Answers
Answer:
its 58
it is very simple to answer just find the percent of it
Jack decides to coast to a stop on his bicycle, so he quits pedaling. The table represents his velocity (in meters per second) as a
function of time (in seconds). According to the table, which point is the y-intercept on a graph representing the data?
A) (0,0)
B) (0, 12)
C) (12,0)
D) (0, 20)
Answers
Answer:
1 cubic meter (m3) is equal to how many cubic center meters(cm3)Answer:
B if your doing prep
Step-by-step explanation:
math
Confused bab in need ☹️
Answers
Answer:
25 in^2
Step-by-step explanation:
So the area of a triangle is (Base * Height) / 2. The base, which is where the triangle "sits" is 10 in. The height is 5 in.
With this, these numbers can both be plugged in to get the answer:
(10 * 5) / 2
50/2
25 in^2
It is squared after the units since it is the area.
can someone answer this w²+7w-18
Answers
Answer:
Using the "AC Method" I got (w - 2) (w + 9)
Step-by-step explanation:
Answer:
(w−2)(w+ 9)
Step-by-step explanation:
Grouping
Step 1:
Use the sum-product pattern
w² + 7 − 18
w² + 9 − 2 −18
Step 2:
Common factor from the two pairs
w²+ 9 − 2 − 18w
( w+ 9) − 2( w+ 9)
Step 3:
Rewrite in factored form
(w + 9) − 2( w+ 9)
(w−2)(w+9)
a car travels a distance and of 180 km in 2 hours on a straight road .how many km can it travel in 3 hours at the same speed
Answers
Answer:
270 KM
Step-by-step explanation:
180 divided by 2= 90
90*3= 270
Independent Practice
Find the GCF of the first two terms and the GCF of the last two terms for the polynomial.
2z3 + 12z2 – 5z – 30
A.
z2; –5
B.
2z; –5
C.
2z2; –5
D.
2z2; 5
Answers
Answer:
C.
2z2; –5
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
( z + 6 ) ( 2 z 2 − 5 )
Answer:
2z^2; –5
Step-by-step explanation:
2z3 = 2 • z • z • z 12z2
= 2 • 2 • 3 • z • z
The GCF is 2z2.
–5z3 = –1 • 5 • z • z • z
–30 = –1 • 5 • 6
The GCF is –5.
What is the correct theorem?
Answers
SAS because its is side angle side for both of them
Answer:
SSS (Side-Side-Side)
Step-by-step explanation:
It is given that PS ≅ RQ. Shown by congruency symbols, PR ≅ RQ. Lastly, QR ≅ QR due to the reflexive property.
Due to all three sides between the two triangles being congruent, you can conclude that they are congruent by SSS, or Side-Side-Side.