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3 years ago

Best tip for Maths test to figure out challenging problems

Mathematics

1 answer:

padilas [110]3 years ago

3 0

First solve the easier questions which can be solved in very low time.
Drop out the harder questions for last.
After completing the easier questions take your time to complete harder ones.
Stay away from unsolvable questions

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What is the quotient in simplest form?

enyata [817]

The third one 02 2/5 is the answer

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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

Classify the triangle with angles measuring 85°, 60°, and 35°.

OLEGan [10]

They are acute angels cause there smaller than 90

6 0

3 years ago

Read 2 more answers

Decrease £16870 by 3% , give your answer rounded 2 decimal places

lidiya [134]

To decrease it by 3% we need to fine 97% of it and 97% is the same as 0.97

16870 times 0.97=16363.9

16870 decreased by 3% is 16363.9

I hope I've helped!

5 0

3 years ago

2/3 employees of a company drive to work, 1/3 travel by bus and the rest walk . find the number of who walk.

olasank [31]

Zero
2/3 drive plus 1/3 bus = 3/3 or 1 whole
Cannot be any that walk

8 0

2 years ago

Best tip for Maths test to figure out challenging problems​

Best tip for Maths test to figure out challenging problems