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Anni [7]
2 years ago
9

Noah is running a portion of a marathon at a constant speed of 6 mph. Complete the table to predict how long it would take him t

o run different distances at that speed and how far he would run in different time intervals.
Time in hours Miles traveled at 6mph
1.
1/2
1 1/3
1 1/2
9
4 1/2
Mathematics
2 answers:
konstantin123 [22]2 years ago
6 0

Answerhe is right the one thats obove mine asnwer

Step-by-step explanation:

ycow [4]2 years ago
3 0

Answer:

\begin{array}{cc}\text{Time}&\text{Distance}\\ \\1&6\\ \\\dfrac{1}{2}&3\\ \\1\dfrac{1}{3}&8\\ \\1\dfrac{1}{2}&9\\ \\9&54\\ \\4\dfrac{1}{2}&27\end{array}

Step-by-step explanation:

Noah's running speed = 6 mph.

Use formula D=v\cdot t, where

D is the distance,

v is the speed,

t is the time.

If t=1 hour, then D=6\cdot 1=6 miles.

If t=\dfrac{1}{2} hour, then D=6\cdot \dfrac{1}{2}=3 miles.

If t=1\dfrac{1}{3} hours, then D=6\cdot 1\dfrac{1}{3}=6\cdot \dfrac{4}{3}=8 miles.

If t=1\dfrac{1}{2} hours, then D=6\cdot 1\dfrac{1}{2}=6\cdot \dfrac{3}{2}=9 miles.

If t=9 hours, then D=6\cdot 9=54 miles.

If t=4\dfrac{1}{2} hours, then D=6\cdot 4\dfrac{1}{2}=6\cdot \dfrac{9}{2}=27 miles.

So, the table is

\begin{array}{cc}\text{Time}&\text{Distance}\\ \\1&6\\ \\\dfrac{1}{2}&3\\ \\1\dfrac{1}{3}&8\\ \\1\dfrac{1}{2}&9\\ \\9&54\\ \\4\dfrac{1}{2}&27\end{array}

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F(x) = x²    increases at a faster rate than g(x) = 2x.

f(x)

Reason:

x =  0,   1,   2,   3,   4,   5,   6,   7

f(x) = 0,   1,  4,  9,   16,  25,   36,   49

g(x) = 0,  2,  4,   6,    8,  10,    12,    14.

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2 years ago
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sergij07 [2.7K]

Using function concepts, it is found that it is increasing on the interval:

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---------------

The function is given by:

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The graph is given at the end of this question.

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A similar problem is given at brainly.com/question/13539822

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In other words, to compute the next term in the series you have to multiply the previous one by r.

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The information about the sum tells us that

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We have a formula to compute the sum of the powers of a certain variable, namely

\displaystyle \sum_{i=0}^n r^i = \cfrac{r^{n+1}-1}{r-1}

So, the equation becomes

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The only integer solution to this expression is n=6, r=3.

If you want to check the result, we have

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