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3 years ago

What recursive formula can be used to generate the sequence where f(1) = 5 and n > 1

Mathematics

1 answer:

Rashid [163]3 years ago

7 0

Answer:

idk

Step-by-step explanation:

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An automobile travels past the farmhouse at a speed of v = 45 km/h. How fast is the distance between the automobile and the farm

yulyashka [42]

Answer:

$\frac{ds}{dt} = 39.586 km/h$

Step-by-step explanation:

let distance between farmhouse and road is 2 km

From diagram given

p is the distance between road and past the intersection of highway

By using Pythagoras theorem

$s^2 = 2^2 +p^2$

differentiate wrt t

we get

$\frac{d}{dt} s^2 = \frac{d}{dt} (4 + p^2)$

$2s \frac{ds}{dt} =2p \frac{dp}{dt}$

$\frac{ds}{dt} = \frac{p}{s}\frac{dp}{dt}$

$\frac{ds}{dt} = \frac{p}{\sqrt{p^2 +4}} \frac{dp}{dt}$

putting p = 3.7 km

$\frac{ds}{dt} = \frac{3.7}{\sqrt{3.7^2 +4}} 45$

$\frac{ds}{dt} = 39.586 km/h$

3 0

3 years ago

The image below is a triangle drawn inside a circle with center O: Which of the following expressions shows the area, in square

s344n2d4d5 [400]

We know that
[area of a circle ]=pi*r²
diameter=4 in
r=4 in/2-----> 2 in

so
area=pi*2²-----> area of the circle=4*pi in²

the answer is
the area, in square inches, of the circle is <span>3.14 • 2²</span>

8 0

3 years ago

Read 2 more answers

The population of two different villages is modeled by the equations shown

vlada-n [284]

Answer:

Year = 1995 and population = 315

Year = 2015 and population = 715

Step-by-step explanation:

It is given that the population of two different villages is modeled by the given equations:

$y=x^2-30x+540$

$y=20x+15$

The population of both villages are same after x years after 1980 if

$x^2-30x+540=20x+15$

$x^2-30x+540-20x-15=0$

$x^2-50x+525=0$

Splitting the middle term, we get

$x^2-15x-35x+525=0$

$x(x-15)-35(x-15)=0$

$(x-15)(x-35)=0$

$x=15,35$

It means, after 15 or 35 years, the population will same.

For x=15, years is $1980+15=1995$ and population is

$y=20(15)+15=315$

For x=35, years is $1980+35=2015$ and population is

$y=20(35)+15=715$ .

Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.

7 0

3 years ago

Gail baked some cookies. She sold 2/7 of the cookies on Monday. She sold 1/3 more of the cookies on Tuesday than on Monday. What

lorasvet [3.4K]

2/7 x 1/3 = 2/ 21

In simplest form 2/21 = 2/21

Answer + 2/21

3 0

3 years ago

You know that 15% of a number n is 12. How can you use this to find 30% of n? 45% of n? Explain.

Keith_Richards [23]

30% is 24
45% is 36
take 15% and multiply it by however much it takes to make the percentage than multiply that by 12

5 0

3 years ago