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Romashka-Z-Leto [24]
3 years ago
10

During his workout Allen spent 28% of the time on the treadmill what fraction of his workout was on the treadmill

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
7 0
7/25 because he was on the treadmill for 28% of his workout and when you turn that into a fraction you get 28/100. Lastly, you simplify by dividing both numbers by the greatest common factor which in this case is 4.
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in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equation
Akimi4 [234]

Answer:

<em></em>f(x) = 63000(0.97)^x<em></em>

<em></em>

Step-by-step explanation:

Given

f(0) = 63000 ---x = 0, in 2012

f(5) = 54100 -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

f(x) = ab^x

Where

b = rate

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

f(x) = 63000(0.97)^x

Set x = 0

f(0) = 63000(0.97)^0 = 63000*1=63000\\

Set x = 5

f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100

<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>

For option (d), we have:

f(x) = 52477(0.97)^x

Set x = 0

f(0) = 52477(0.97)^0 - 52477* 1 = 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

For option (e), we have:

f(x) = 63000(0.97)^\frac{1}{5x}

Set x = 0

f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =undefined

<em>This is false because the f(x) is not undefined at x = 0</em>

For option (f), we have:

f(x) = 52477(0.97)^{5x

Set x = 0

f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

<em>From the computations above, only (c) </em>f(x) = 63000(0.97)^x<em> is true</em>

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3 years ago
I need help with this question. Thanks
masha68 [24]

Answer:

Step-by-step explanation:

4 0
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What does negative 2 over 7 &gt; −4 indicate about the position of negative 2 over 7 and −4 on the number line?
jeyben [28]
-4/7 > -2

If it is greater it goes to the right, and if it is less it goes to the left.

-4/6 is located to the right of -2
6 0
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kayla bought h number of hats for $13.25 each.if she has $50 dollars to spend ,how many hats could she have bought?
shutvik [7]
4 is the answer to your question
7 0
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The triangles below are similar. Which similarity statements describe the relationship between the two triangles? Check all that
Gekata [30.6K]

<u>Complete Question</u>

In triangle ABC: AC=10 , AB=5., Angle C = 30 degrees.  

In Triangle DEF: ED= 7.5 , DF=15, Angle F =30 degrees , Angle E = 90 degrees.  

Answer:

A, D and E

Step-by-step explanation:

The diagram is drawn and attached below.

  • Triangle ABC is similar to Triangle DEF. (Option E)

Writing it backwards:

  • Triangle CBA is similar to Triangle FED. (Option A)

Also,

  • Triangle BAC is similar to EDF. (Option D).

Therefore, A, D and E are the similarity statements that describe the relationship between the two triangles.

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