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kotegsom [21]
3 years ago
8

Serena is cycling from a dance class to her home the equation shows Serena’s distance (y) in miles from her home after x minutes

Mathematics
1 answer:
mote1985 [20]3 years ago
7 0
16 is the original distance her dance class was from home
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Answer:

Step-by-step explanation:

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3 years ago
Write the sentence as an inequality.<br> 5 is no greater than 4 times a number minus 2.5.
garri49 [273]

Answer:

<em>5 ≤ 4x - 2.5</em>

Step-by-step explanation:

<u>Inequalities</u>

The expression "no greater than" can be better expressed as "less or equal than".

The expression 4 times a number, being x the unknown number can be written: 4x

Thus, the equivalent inequality of the sentence is:

5 ≤ 4x - 2.5

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0.1x=0.2(x+2<br> 1/6d+2/3=1/4(d-2)
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28. sylvia researched changes in the deer population in her state's parks during her lifetime
kifflom [539]

Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.

<h3>What is an exponential function?</h3>

An exponential function is modeled by:

y = ab^x

In which:

  • a is the initial value.
  • b is the rate of change, as a decimal.

In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:

A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}

The population will be of 600 when A(t) = 600, hence:

A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}

600 = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}

\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{600}{4800}

\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{1}{8}

\left(\frac{1}{2}\right)^{\frac{t}{8}} = \left(\frac{1}{2}\right)^3

Hence:

t/8 = 3.

t = 24.

It will take 24 years for the current population of 4800 deer to reduce to 600.

More can be learned about exponential functions at brainly.com/question/25537936

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2 years ago
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Vesna [10]
That person is really smart good job
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3 years ago
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