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Ksivusya [100]
3 years ago
13

20 years later, the same runner now wants a pierce of 5 miles in 55 minutes. How many minutes will it take him to run 1 mile at

this pace?
Mathematics
1 answer:
Elan Coil [88]3 years ago
8 0

Answer:

It will take 11 minutes per mile

Step-by-step explanation:

If he wants to run all the miles equally, just divide 55 by 5 to get an equal amount of minutes.

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I need answers for Question 1 and 2
Xelga [282]

Answer:  The answer to your first question would be A. 1.  This is simply because anything raised to the power of 0 is 1 no matter what.  The answer to your second question would be B. 1, for the same reason as above, anything to the power of 0 is 1.  Hope this helped and make sure to remember that rule, it is important and easy to remember!

4 0
3 years ago
The rate of change of the number of mountain lions N(t) in a population is directly proportional to 725 - N(t), where t is the t
wolverine [178]

Answer:

a) The implied differential equation is \frac{dN}{725 - N} = kdt

b) The general equation is N = 725 - C e^{-kt}

c) The particular equation is N = 725 - 325 e^{-0.49t}

d) The population when t = 5, N(5) = 697 = 700( to the nearest 50)

Step-by-step explanation:

The rate of change of N(t) can be written as dN/dt

According to the question, \frac{dN}{dt} \alpha (725 - N(t))

\frac{dN}{dt} = k (725 - N)\\\frac{dN}{725 - N} = kdt

Integrating both sides of the equation

\int {\frac{1 }{725 - N}} \, dN  = \int {k} \, dt\\- ln (725 - N) = kt + C\\ ln (725 - N) = -(kt + C)\\725 - N = e^{-(kt + C)} \\725 - N = e^{-kt} * e^{-C} \\725 - N = C e^{-kt}\\N = 725 - C e^{-kt}

When t = 0, N = 400

400 = 725 - C e^{-k*0}\\400 = 725 - C\\C = 725 - 400\\C = 325

When t = 3,  N = 650

650 = 725 - (325 * e^{-3k})\\325 * e^{-3k} = 75\\e^{-3k} = 75/325\\e^{-3k} = 0.23\\-3k = ln 0.23\\-3k = -1.47\\k = 1.47/3\\k = 0.49

The equation for the population becomes:

N = 725 - 325 e^{-0.49t}

At t = 5, the population becomes:

N = 725 - 325 e^{-0.49*5}\\N = 725 - 325 e^{-2.45}\\N = 696.95\\N(5) = 697

N(5) = 700 ( to the nearest 50)

6 0
3 years ago
Someone help.I'm new<br>i suck at math​.Pleaseweee 50 points?
MrMuchimi

Answer:

45°

Step-by-step explanation:

Let's understand "supplement" and "complement" -- basics of geometry of angles.

  • When we say two angles, a & b, are supplementary, we mean that both ADD up to 180.
  • When we say two angles, a & b, are complementary, we mean that both ADD up to 90.

<em><u>If we have given an angle, such as "x", to find its supplement, we subtract the angle from 180. Similarly, we would need to subtract the angle x from 90 if we were to find the complement of the angle.</u></em>

<em><u /></em>

We want to find complement of 45, so we subtract 45 from 90 to get:

90 - 45 = 45°

Hence, the complement of a 45° angle = 45°

3 0
3 years ago
(x-4)/(2x+1)-3 can you help me with this question
lilavasa [31]

Answer:

\frac{(x - 4)}{(2x + 1)} - 3 = \frac{-7x- 7}{3x + 1}

Step-by-step explanation:

Given

\frac{(x - 4)}{(2x + 1)} - 3

Required

Solve

Express 3 as a fraction

\frac{(x - 4)}{(2x + 1)} - \frac{3}{1}

Take LCM

\frac{x - 4 - 3(2x + 1)}{3x + 1}

\frac{x - 4 - 6x - 3}{3x + 1}

Collect Like Terms

\frac{x - 6x- 4  - 3}{3x + 1}

Simplify like terms

\frac{-7x- 7}{3x + 1}

Hence:

\frac{(x - 4)}{(2x + 1)} - 3 = \frac{-7x- 7}{3x + 1}

4 0
3 years ago
If 1=3 , 2=3 , 3=5, 4=4, 5=4 then , 6=?
Juli2301 [7.4K]

Answer:

is 3, because ‘six’ has three letters

4 0
2 years ago
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