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3 years ago

Raise 5 to the 3rd power, then find the quotient of the result and s

Mathematics

1 answer:

Art [367]3 years ago

8 0

Answer:

125/s

Step-by-step explanation:

5^3 = 5 x 5 x 5 = 25 x 5 = 125

Find the quotient of the result and s

125 ÷ s

= 125/s

Hope this helps :)

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Write the equation of the line passing through points (2,-2) and (1,0) in slope intercept form.

katrin2010 [14]

Answer:

y=-2x+2

Step-by-step explanation:

hope it helps!

8 0

2 years ago

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If a wheelchair-marathon racer moving at 13.1 miles per hour expends energy at a rate of 645 calories per hour, how much energy

Anna71 [15]

Answer:

$1290$ calories

Step-by-step explanation:

Given: The racer moves at $13.1$ miles per hour expends energy at a rate of $645$ calories per hour.

To find: Energy in calories, required to complete a marathon race $26.2$ miles at this pace.

Solution: We have,

The racer moves at $13.1$ miles per hour.

The racer expends energy at a rate of $645$ calories per hour.

So, energy expended while moving $13.1$ miles $=645$ calories.

Now, energy expended while moving $1$ mile $=\frac{645}{13.1}$ calories.

So, energy expended while moving $26.2$ miles $=\frac{645}{13.1}\times 26.2=645\times 2=1290$ calories.

Hence, $1290$ calories of energy is required to complete a marathon race $26.2$ miles at this pace.

6 0

3 years ago

Is 1/4 of 8 equal to 2

Svet_ta [14]

Yes, 1/4 of 8 is equal to two.
1/4x8=2
Hope this helps! :)

5 0

3 years ago

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Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species

kotegsom [21]

Answer:

$P(t) = \frac{160000e^{1.36t}}{2000 + 80(e^{1.36t} - 1)}$

Step-by-step explanation:

The logistic equation is the following one:

$P(t) = \frac{KP(0)e^{rt}}{K + P(0)(e^{rt} - 1)}$

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.

In this problem, we have that:

Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that $P(0) = 80, K = 2000$ .