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3 years ago

Yesterday I ran 5 miles. Today, I ran 3.7 Miles.

Mathematics

2 answers:

Stella [2.4K]3 years ago

5 0

Answer:

percent decrease

26%

Step-by-step explanation:

Yesterday you ran 5 miles

Today you ran 3.7 miles

The amount went down, so the percent decreased

The percent decrease = (original - new)/original * 100 %

= (5-3.7)/5 * 100%

= 1.3/5 * 100 %

=.26 *100%

= 26%

Zolol [24]3 years ago

4 0

Your percent decrease.
Because you ran 5 miles yesterday, and 3.7 miles yesterday,
As 5>3.7 your percentage decreased by 26 %

Hope it helps you

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Step-by-step explanation:

Let define some notation:

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And we have defined:

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Part a

If we do the dimensional analysis for v we got:

$v = \frac{[L]}{[T]} = LT^{-1}$

Part b

For the acceleration we can use the result obtained from part a and we got:

$a = \frac{[L}{T}^{-1}]}{{T}}= L T^{-1} T^{-1}= L T^{-2}$

Part c

From definition if we do the integral of the velocity respect to t we got the position:

$\int v dt = s(t)$

And the dimensional analysis for the position is:

$\int v dt = s(t) = [L]=L$

Part d

The integral for the acceleration respect to the time is the velocity:

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And the dimensional analysis for the position is:

$\int a dt = v(t) = [L][T]^{-1}=LT^{-1}$

Part e

If we take the derivate respect to the acceleration and we want to find the dimensional analysis for this case we got:

$\frac{da}{dt}= \frac{[L][T]^{-2}}{T} = [L][T]^{-2} [T]^{-1} = LT^{-3}$

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