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3 years ago

Help calculate population size

Mathematics

1 answer:

LekaFEV [45]3 years ago

8 0

I think you have to calculate it all up- add them all up
= 8329 ( i used a calculator)

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A thermometer is removed from a room where the temperature is 70 F and is taken outside where the air temperature is 10 F. After

Dafna11 [192]

This question is the application of differential eqns in order to derive a model for the temperature dependence with time. Actually, a general equation has already been derived for this type of cases. This equation is known as the Newton's Law of Cooling. The equation is

(T - Ts) / (To -Ts) = e^(-kt)

where T is the the temperature at any time t
Ts is the surrounding temperature
To is the initial temperature
k is the constant
t is the time

several assumptions have been made to arrive at this form, i suggest you trace the derivation of the general formula.

First we need to look for k using the initial conditions that is @t = 1.5 min, T = 50 F

substituting we get a k = 0.2703

therefore @ t = 1 min, T = 55.79 F

@ T = 15 F the time required is 9.193 min.

7 0

4 years ago

PLEASE HELP !!

Firlakuza [10]

Answer:

200

Step-by-step explanation:

pi · radius · height

3.14 · 8 · 25 = 200

extra : i used symbolab.com :)

7 0

3 years ago

X+y=27 x-y=1 What is x? What is y?

Zina [86]

Answer:

x= 14 y= 13

Step-by-step explanation:

Use substitution or elimination

8 0

4 years ago

Read 2 more answers

an employee at an arcade determined he could use the equation y=50-2x to predict the number of tokens a guest has,y, based on th

givi [52]

Answer:

The rate at which how many tokens a person loses per minute.

Step-by-step explanation:

If we move around the terms in the equation to fit standard form, it will be easier to determine the slope.

y = 50 - 2x

y = -2x + 50

We know that the slope is the coefficient of the x variable, so m = -2 or $\frac{-2}{1}$ .

Since the slope is negative, we know that the line will go down as x increases. Since the slope is multiplied by the number of minutes x, we know that the slope represents the typical rate at which a guest spends tokens per minute. In simpler words, how many tokens a person loses every minute.

8 0

3 years ago

Write the slope- intercept form of the equation of the line through (0,3) and (1,1)

PolarNik [594]

Answer:

y = - 2x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

Calculate m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1,1)

m = $\frac{1-3}{1-0}$ = - 2

note the line passes through (0, 3) ⇒ c = 3

y = - 2x + 3 ← equation in slope-intercept form

6 0

3 years ago