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aksik [14]
3 years ago
14

Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?

Mathematics
1 answer:
vovangra [49]3 years ago
3 0

Answer:

The method that is valid in finding the unit rate for a proportional relationship is by:

Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to arrive at the next point on the graph. Write these two numbers as a fraction. The unit rate is the slope, which is the rise over run.

Step-by-step explanation:

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Part A
klasskru [66]

Answer:

a) The y-intercept is 160. It represents the initial distance Jayden was from his home.

b) The x-intercept is 4. It represents the amount of time taken for Jayden to reach his home.

Step-by-step explanation:

The y-intercept can be found by looking at the value of y when x=0. When x=0, y= 160. Since the x-axis is the amount of time in hours, x=0 would mean the initial time. The x-axis is the number of miles from Jayden's home thus, Jayden was 160 miles away from his home when x=0 hours.

The x-intercept can be found by looking at the x value when y=0. When y=0, x=4. This means that it took Jayden 4 hours to reach home or 4 hours to travel 160miles to his house.

8 0
3 years ago
Determine the critical value for a 98% confidence interval when the sample size is 12 for the t ‑distribution. Enter the positiv
Natalija [7]

Answer:

+2.718

Step-by-step explanation:

from the question,

the sample size is 12

therefore the degree of freedom,

df = 12 - 1

= 11

alpha = 1 - 0.98

= 0.02

this is because the confidence level is 98%

under the t distribution table, a degree of freedom of 11 and 0.02 alpha level = <em>2.718</em>

<em>the</em><em> </em><em>crit</em><em>ical</em><em> </em><em>valu</em><em>e</em><em> </em><em>t</em><em>*</em><em> </em><em>=</em><em> </em><em>2</em><em>.</em><em>7</em><em>1</em><em>8</em>

<em>I </em><em>hop</em><em>e</em><em> </em><em>th</em><em>is</em><em> </em><em>helps</em><em>!</em>

5 0
3 years ago
Graph a line that contains the following point (-5, 3) and a slope of -6.
LenaWriter [7]
It -8 because if u do -5+-6+3 it =8
6 0
2 years ago
Each of the samples below is randomly selected from a company with 320 employees. Choose which samples are representative sample
morpeh [17]

Step-by-step explanation:

For all the recent strides we’ve made in the math world, like how a supercomputer finally solved the Sum of Three Cubes problem that puzzled mathematicians for 65 years, we’re forever crunching calculations in pursuit of deeper numerical knowledge. Some math problems have been challenging us for centuries, and while brain-busters like the ones that follow may seem impossible, someone is bound to solve ‘em eventually. Maybe.

For now, take a crack at the toughest math problems known to man, woman, and machine.

1. The Collatz Conjecture



DAVE LINKLETTER

Earlier this month, news broke of progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao’s breakthrough is good news, the problem isn’t fully solved.

A refresher on the Collatz Conjecture: It’s all about that function f(n), shown above, which takes even numbers and cuts them in half, while odd numbers get tripled and then added to 1. Take any natural number, apply f, then apply f again and again. You eventually land on 1, for every number we’ve ever checked. The Conjecture is that this is true for all natural numbers.

Tao’s recent work is a near-solution to the Collatz Conjecture in some subtle ways. But his methods most likely can’t be adapted to yield a complete solution to the problem, as he subsequently explained. So we might be working on it for decades longer.

The Conjecture is in the math discipline known as Dynamical Systems, or the study of situations that change over time in semi-predictable ways. It looks like a simple, innocuous question, but that’s what makes it special. Why is such a basic question so hard to answer? It serves as a benchmark for our understanding; once we solve it, then we can proceed to much more complicated matters.

The study of dynamical systems could become more robust than anyone today could imagine. But we’ll need to solve the Collatz Conjecture for the subject to flourish.

6 0
2 years ago
Read 2 more answers
The ratios of corresponding sides in the two triangles are equal. What other information is needed to prove that △FGE ~ △IJH by
schepotkina [342]

solution: option B and C both are correct i.e., option C is correct i.e., ∠E ≅∠H and ∠I ≅ ∠F .

option C is correct i.e., ∠E ≅∠H.

explanation:

it is given that ratio of corresponding sides of ΔFGE and ΔIJH are equal

i.e.,  

\frac{GE}{JH}=\frac{EF}{HI}

and if ∠E ≅ ∠H

Then ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.  

so option C is correct i.e.,  ∠E ≅ ∠H.

and option B is also correct

explanation:

since it is given that

\frac{FG}{IJ}=\frac{EF}{HI}

And if ∠I ≅ ∠F

then  ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.  

7 0
3 years ago
Read 2 more answers
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