RAMPS Rodney is rolling marbles down a ramp. Every second that passes, he measures how far the marbles travel. He records the information in the table shown below.
Make a conjecture about how far the marble will roll in the fifth second.
Answers
Using the principle of common difference , we can observe that the distance moved per roll increases by a constant amount of centimeters . Hence, the distance moved in the 5th roll is 180 cm
Setting up a proportional relationship :
Second = S Distance = dThe common difference between each roll can be obtained thus :
d2 - d1 = d3 - d2 = d4 - d3
60 - 20 = 100 - 60 = 140 - 100
40 = 40 = 40
Hence, the common difference = 40
The distance obtained on the fifth roll :
d(5) = d(4) + common difference
d(5) = 140 + 40
d(5) = 180
Therefore, the distance obtained on the fifth roll is 180 cm
Learn more :https://brainly.com/question/18796573
Related Questions
There are 28 students in a class. 13 of the students are boys. Two students from the class are chosen at random. a) If the first person chosen is a boy, what is the probability that the second chosen is also a boy? Answer in fraction
Answers
Using the probability concept, it is found that there is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.
A probability is the number of desired outcomes divided by the number of total outcomes.In this problem, supposing that the first person chosen is a boy:
There will be 27 students.Of those, 12 are going to be boys.Hence:
[tex]p = \frac{12}{27} = \frac{4}{9}[/tex]
There is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.
To learn more about the probability concept, you can take a look at https://brainly.com/question/25967684
if M is a multiple of 3 and 7 then it is a multiple of 21
Answers
Answer:
It will be true , it is a multiple of 21
Hiroto spends \$68 on e-books and paperback books combined. Each e-book he buys costs $5 and each paperback book he buys costs $12. If Hiroto buys e-books and y paperback books which of the following equations best models the situation?
Answers
The equation that can be used to model the situation regarding the e-books and paperback is 5x + 12y = 68
The following information can be gotten from the question:
Total amount spent on e-books and paperback = $68
Cost of e-book = $5 each.
Cost of paperback = $12 each
Number of e-books = x
Number of paperbacks = y
Therefore, the equation that can be used to model the situation regarding the e-books and paperback will be:
= 5(x) + 12(y) = 68
5x + 12y = 68
The equation will be 5x + 12y = 68
Read related link on:
https://brainly.com/question/25212173
{x: x belongs to N and (x-1)(x-2) = 0}, finite set or infinite set?
Answers
Explanation:
We have a set of x values such that (x-1)(x-2) = 0. Breaking that down leads to either x-1 = 0 or x-2 = 0 through the zero product property. Solving each of those equations gets us x = 1 and x = 2 as the two items in this set.
So the original set your teacher gave you turns into the roster form {1,2}. There are two items in this set and we can see it's a finite set since it does not go on forever. Note that everything in this set is a natural number.
Add 2 1/2 + (-3 1/3). Write your answer as a mixed number in simplest form.
Answers
Answer:
Exact Form: -⅚
Decimal Form: -0.83 repeating
which of the binomials below is a factor of this trinomial?
x² + 2x - 35
Answers
Answer:
(x-5)(x+7)
Step-by-step explanation:
They're the factors of the trinomial x^2+2x-35
you run 15 miles in 150 minutes your brother runs 30 miles in 300 minutes are the rates proportional?
Answers
Answer:
im not sure on how to answer that
Step-by-step explanation:
x^3+10x^2+19x-30/x+6
Answers
Answer:
make it an equation
Step-by-step explanation:
It's not an equation.
PLZZZ HELP X IS 44 .............
Answers
Answer:
y = 136
Step-by-step explanation:
the line is 180 degrees so
180-44 = 136 degrees
Answer:
y=136
Step-by-step explanation:
x=44 y=136
44+136=180
Find range of the real function
[tex]f = \left \{ \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R \right \}[/tex]
from R into R.
Answers
Step-by-step explanation:
[tex] \large\underline{\sf{Solution-}}[/tex]
Given function is
[tex]\rm \longmapsto\:f = \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R[/tex]
To find the range of the function f, Let assume that
[tex]\rm \longmapsto\:y = \dfrac{ {x}^{2} }{ {x}^{2} + 1} [/tex]
[tex]\rm \longmapsto\: {yx}^{2} + y = {x}^{2} [/tex]
[tex]\rm \longmapsto\: {yx}^{2} - {x}^{2} = - y[/tex]
[tex]\rm \longmapsto\: - {x}^{2} (1 - y) = - y[/tex]
[tex]\rm \longmapsto\: {x}^{2} (1 - y) = y[/tex]
[tex]\rm \longmapsto\: {x}^{2} = \dfrac{y}{1 - y} [/tex]
[tex]\rm\implies \:x = \sqrt{\dfrac{y}{1 - y} } [/tex]
For x to be defined,
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: 1 - y > 0[/tex]
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: - y > - 1[/tex]
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: y < 1[/tex]
[tex]\bf\implies \:y \: \in \: [0, \: 1)[/tex]
Hence,
[tex]\bf\implies \:Range \: of \: f \: \in \: [0, \: 1)[/tex]
Factor the following expression completely.
16x^5-x^3
A. 1343 1) (4x + 1)
B. 13(41 – 1)
C. (413 – 22)
D. 13(16x2 – 0)
Answers
X^(16x^2-1) factor the expression
The answer to the graph
X^3(4x-1)(4x+1)
Write an equation in slope-intercept form for the line with slope 4/3 and y-intercept -3. Then graph the line.
Answers
Answer:
y = 4/3x -3
Step-by-step explanation:
A quality manager for a publishing company checks 3 of every 250 books printed for typos. At that rate, how many of every 15,000 books will be checked for typos?
Answers
Answer:
Print between 25 - 2,000 books. Your price per book will go down as your quantity increases.
Step-by-step explanation:
Answer these questions pls
1. The constant in the equation is always zero.
Proportional or Non-proportional
2. Y=2x - 4
Proportional or Non-proportional
3.jimmy plans to save $20 every week
Proportional or Non-proportional
Answers
Answer:
1. Non-proportional
2. Proportional
3. Proportional
I hope you can see my question, if you have a phone look at the top for my question. Thank you.
Answers
Answer: 10 7/8
Step-by-step explanation: 11 2/8 - 3/8 = 10 7/8
What is the factored form of this expression?
4t2 − 27t + 18
A.
(4t − 18)(t − 1)
B.
(4t − 3)(t − 6)
C.
(2t − 9)(2t − 2)
D.
(2t − 6)(2t − 3)
Answers
Answer:
B
Step-by-step explanation:
Answer:
Have a great rest of your day :)
Step-by-step explanation:
Please solve with explanation
Answers
Answer:
The x coordinate of S is b.
Step-by-step explanation:
a)
The coordinates of Point Q are:
(2a+2b)/2, 2c/2
= [(a + b), c].
The slope of the line AB
= (0-2c)/(2b-2a)
= -c/(b-a)
So The slope of the line QS = (b - a) / c = (b - a)/c.
Its equation is
y - c = (b - a)/c ( x - (a+b))
y = (b - a)/c ( x - (a+b)) + c.
The coordinates of Point P are:
(2a+0)/2, 2(c+ 0)/2
= (a, c)
The slope of the line AO
= (2c)/2a
= c/a
So The slope of the line PS = -a/c
Its equation is
y - c = -a/c(x - a)
y = -a/c(x - a) + c
b)
So:
(b - a)/c ( x - (a+b)) + c
= -a/c(x - a) + c
(b - a)(x - a - b) + c^2 = -a(x - a) + c^2
(b - a)(x - a - b) = -a(x - a)
bx - ab - b^2 - ax + a^2 + ab = -ax + a^2
bx - ax + ax + a^2 - a^2 - ab + ab = b^2
bx = b^2
x = b = the x coordinate of S.
c). The point R has the same x coordinate as S So RS is perpendicular to OB.
please someone explain to me how did we multiply the denominator in this
Answers
ok so what you wanna do is use multiplication
trying to figure it out
Answers
pls help. i will give brainliest!!!!!!
Answers
Answer:
the strong correlation
Express each number in standard form.
a) 1 X 10^3 + 0 X 10^2 + 4 X 10 + 9 X 1
b) 4 X 10^4 + 3 X 10^3 + 8 X 10^2 + 7 X 10 + 0 X 1
c) 8 X 10^6 + 1 X 10^5 + 5 X 1
Answers
a) 1,000 + 0 + 40 + 9
b) 40,000 + 3,000 + 800 + 70 + 0
c) 8,000,000 + 100,000 + 5
Write the missing exponent that makes the equation true: 4^t times 2^t = 2^what
Answers
4^t × 2^t = 2^what [convert all terms to the same base (2)]
∴ 2^t × 2^t × 2^t = 2^what [use the multiplicat law of exponents]
2^(t+t+t) = 2^what [simplify]
2^3t = 2^what
what = 3t
please help asap!!
-
-
-
-
Answers
Answer:
a. y = 2x + 1
b. 20
Step-by-step explanation:
a. With each increasing figure, two more blocks are added on. Through this, we can determine the rule:
y = 2x + 1
y being the total number of blocks in a figure
x being the number of the figure.
_________
b. To figure out which figure number has 41 squares, we can set the equation we found equal to 41.
41 = 2x + 1
40 = 2x
20 = x
So figure 20 will have 41 squares.
Explain the parts of an angle
Answers
Answer:
line segments are the lines
rays are line segments that have one vertex
a vertex is the endpoint of a line(usually represented by a dot)
Step-by-step explanation:
Bath and Body Works is having a special promotion on fall candles. Every 12th guest is receiving a free pumpkin scented candle and every 36th guest is receiving a free Carmel waffle scented candle. Which number of guests will receive both the pumpkin and caramel waffle scented candles?
Answers
Answer:
i d k but now i want candles from bath and body works
Step-by-step explanation:
36th and you can go on from that But you have to go through 12 three times to get to 36 so be like yeah
anybody answer this question seriously please it has to be correct
Answers
Answer: that epuals 2/7
Step-by-step explanation:exam
PLease answer ASAP BRAINLEST!!1
Answers
Answer:
-7(2x-3y+.7)
Step-by-step explanation:
-14x+21y-4.9
Rewrite in terms of -7
-7 * 2x -7*-3y-7 *.7
Factor out -7
-7(2x-3y+.7)
PLS HELP I GOTTA TURN THIS INNN
Answers
Answer:
Lauren
Step-by-step explanation:
1/2 is Erin
3/4 is Lauren
Answer:
1/2 for Eric and 6/8 for lauren
Eric: 1/2 = 4/8
Lauren: 6/8
Lauren was more succesful
Step-by-step explanation:
what is the equivalent value 3/2×(−2)
Answers
Answer:
= -3
multiplying and dividing fractions
Answer:
-3
Step-by-step explanation:
3/2^(-2)=-3
Colin invests £1200 into his bank account. He receives 3% per year simple interest. How much will Colin have after 4 years? Give your answer to the nearest penny where appropriate.
Answers
Answer:
1440
Step-by-step explanation: