PLEASE HELP WITH SACLE FACTOR!!!! 100 POINTS!!!

Answer:

LOL this is just facts

Answer:

lol so true

Step-by-step explanation:

Options:

A. [1,10]        B. [10,20]      C. [15,25]     D. [1,30]

Answer:

A. [1,10]

Step-by-step explanation:

Given

[tex]N(t) = 100e^{-0.023t}[/tex]

Required

Interval with the fastest rate of decay

The rate of change over [a,b] is calculated as:

[tex]Rate = \frac{N(b) - N(a)}{b - a}[/tex]

So, we have:

A. [1,10]        

[tex]Rate = \frac{N(10)-N(1)}{10 - 1}[/tex]

[tex]Rate = \frac{N(10)-N(1)}{9}[/tex]

Calculate N(10) and N(1)

[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]

[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]

So:

[tex]Rate = \frac{79.45-97.73}{9} = \frac{-18.28}{9} = -2.03[/tex]

B. [10,20]      

[tex]Rate = \frac{N(20)-N(10)}{20 - 10}[/tex]

[tex]Rate = \frac{N(20)-N(10)}{10}[/tex]

Calculate N(20) and N(10)

[tex]N(20) = 100e^{-0.023*20} = 100e^{-0.46} = 63.13[/tex]

[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]

So:

[tex]Rate = \frac{63.13 - 79.45}{10} = \frac{-16.32}{10} = -1.632[/tex]

C. [15,25]    

[tex]Rate = \frac{N(25)-N(15)}{25 - 15}[/tex]

[tex]Rate = \frac{N(25)-N(15)}{20}[/tex]

Calculate N(25) and N(15)

[tex]N(25) = 100e^{-0.023*25} = 100e^{-0.575} = 56.27[/tex]

[tex]N(15) = 100e^{-0.023*15} = 100e^{-0.345} = 70.82[/tex]

So:

[tex]Rate = \frac{56.27 - 70.82}{10} = \frac{-14.55}{10} = -1.455[/tex]

D. [1,30]

[tex]Rate = \frac{N(30)-N(1)}{30 - 1}[/tex]

[tex]Rate = \frac{N(30)-N(1)}{29}[/tex]

Calculate N(30) and N(1)

[tex]N(30) = 100e^{-0.023*30} = 100e^{-0.69} = 50.16[/tex]

[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]

So:

[tex]Rate = \frac{50.16 - 97.73}{29} = \frac{-47.57}{29} = -1.64[/tex]

By comparing the values of the calculated rates,

-2.03 is the smallest, in other words; the fastest rate

Hence, the interval [1,10] has the fastest rate of decay

The required average rate of change is the fastest on [tex][1,10][/tex].

The formula for the average rate of change on the interval [tex][a,b][/tex]  is,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{b-a}[/tex]

Now, applying the given function into the above function is,

Now, [tex]a=1,b=10[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{10-1} =-2.03[/tex]

Now, [tex]a=10,b=20[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{20-10} =-1.6325[/tex]

Now, [tex]a=15,b=25[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{25-15} =-1.455[/tex]

Now, [tex]a=1,b=30[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{30-1} =-1.64[/tex]

So the average rate of change is fastest on [tex][1,10][/tex]

Learn more about the topic of the average rate of change:

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Answer:

step by step is kid cause it sounds cool

Step-by-step explanation:

so therefore the answer is kid

Answer:

The Answer is C

Answer:

8km/h

Step-by-step explanation:

24/3

8

Hope it helps!

Answer:

To convert 24 km/s to km/h use direct conversion formula below.

24 km/s = 86393.088552916 km/h.

You also can convert 24 Kilometers/Second to other Speed (popular) units.

Step-by-step explanation:

goo gle

Answer:

6/5x -2/3x + 4

Step-by-step explanation:

Simplify the equation

6/5x + 3 -2/3x + 1

6/5x -2/3x + 4

not simplified all the way, but is just exquivalent

Answer 1 13/15x + 5 if simplified or 28/15x + 5 non-simplified

Step-by-step explanation:

2(3/5x+3) = 6/5x + 6 (also can simplfy to 1 1/5x +6)

6/5x + 2/3 = 18/15 + 10/15 = 28/15x ( also can to 1 13/15x)

6-1=5

Answer:

volved with elements and compounds composed of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during a reaction with other substances.

Answer:

4x/3-2

-x/2 +5

this are the answers

Answer:

36

Step-by-step explanation:

2(4.5*3)=13.5

2(3+7.5)=22.5

13.5+22.5=36

Answer:

1/2

Step-by-step explanation:

total of the pockets

= 8

the probability

= 4/8

= 1/2

Answer:

Step-by-step explanation:

Since this is a 2 variable equation system we will find the values of x & y by equaization.

x-5=-7x+11

x+7x=11+5

8x=16

x=16/8

x=2

Please mark brainliest.

Answer: I think it’s 30 you can do it yourself by drawing a rectangle and then multiplying the Length times width

Step-by-step explanation:

Answer:

D) all are true

I think it's helps you

Answer:

x =  -25/6

Step-by-step explanation:

6 (x + 4) + 1 = 0

6x + 24 + 1 = 0

6x + 25 = 0

6x = -25

x = -25/6

Answer:

airplane A

Step-by-step explanation:

Answer:

there is 243.84 cm in 8 feet

round to the nearest hundredths =3266.53

Answer:

Yes, the answer is (0,5) because that is where the lines intercect on the graph.

Answer:

this is answer$10,000$1o,5oo ok

Answer:

C

Step-by-step explanation:

The range is all the (y) values the function could have. The function's left end approaches negative infinity, while the right end approaches the asymptote of the function, y = 2.

So, the range is -∞ < y < 2. The answer is C.

I hope this helps :]

The range of the function is option (C) -∞ < y < 2 is the correct answer.

The range is the set of possible output values, which are shown on the y-axis. The range of a function, f is the set of all values f(x) , such that x is in the domain of f. Graphically speaking, the range is the set of all y such that (x,y) is a point on the graph of f .

For the given situation,

The graph shows the function that is plotted on x-y axis.

The curve of the function tends from x-axis beyond infinity.

It bends at y = 2 and moves towards y-axis beyond infinity.

Hence we can conclude that the range of the function is option (C),        -∞ < y < 2 is the correct answer.

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Answer:

In bold below.

Step-by-step explanation:

Find derivative which gives the velocity:

V = h' = -32t + 28

At maxm height V = 0 so

-32t + 28 = 0

Time to reach maxm height t = -28/-32 = 0.875 seconds.

So maxm height

= -16(0.875)^2 + 28*0.875 + 8

= 20.25 ft.

Answer:

B) 666.6 miles per hour

Step-by-step explanation:

To solve this question, divide the 4000 miles with the 6 hours to get an answer in units of X miles per hour.

4000 miles/6 hours = 666.6 miles per hour

Answer:

C

Step-by-step explanation:

Its C because it doesn't depend on the marbles there to separate picks so neither will affect each other

Answer:

465.4

Step-by-step explanation:

mean=sum of all values/umber of vales

      =506+ 635 +345 +344+ 633 +344+359+ 536 +470+ 482 ​ /10

      =4654/10

   mean   =465.4

Answer:

It is true

Step-by-step explanation:

the area of the rectangle is

72•66=4752

the area of the semi circle is

π33^2= 3421.19/2= 1710.595

4752-1710.595= 3041.405

rounded to nearest tenth

3041.4

Answer: (1,3) (3, infinite)

Step-by-step explanation:

i think this is right

The graph of f(x) = 4/(x² - 2x - 3) is decreasing in the values of (-1,3) ∪ (3,∞)

A graph can be defined as "pictorial representation or the diagram that represent a data or values in an organized manner".

According to the question,

The graph of function f(x) =  4/(x² - 2x - 3).

The values (-1,3) ∪ (3,∞) substitute in the given function

f(-1) = 4/0 = undefined

f(3)= 4/0 = undefined

f(∞)= undefined

Hence, The graph of f(x) = 4/(x² - 2x - 3) is decreasing in the values of

(-1,3) ∪ (3,∞).

Learn more about  graph here

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Answer:

24.9

Step-by-step explanation:

56.2-31.3=24.9