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2 years ago

100pts: Find F(5) if F is a recursive function as defined below:

Mathematics

2 answers:

dolphi86 [110]2 years ago

8 0

Answer:

F(0) = 0

F(1) = 3

F(2) = 2 x F(1) + F(0) = 2 x 3 + 0 = 6

F(3) = 3 x F(2) + F(1) = 3 x 6 + 3 = 21

F(4) = 4 x F(3) + F(2) = 4 x 21 + 6 =90

F(5) = 5 x F(4) + F(3) = 5 x 90 + 21 = 471

Hope this helps!

mihalych1998 [28]2 years ago

8 0

Answer:

471

Step-by-step explanation:

F(0) = 0,

F(1) = 3,

F(2) = 2 * F(1) + F(0)

F(2) = 2(3) + 0 = 6

F(3) = 3 * F(2) + F(1)

F(3) = 3(6) + 3 = 21

F(4) = 4 * F(3) + F(2)

F(4) = 4(21) + 6 = 90

F(5) = 5 * F(4) + F(3)

F(5) = 5(90) + 21 = 471

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Answer:

4:9

Step-by-step explanation:

To take the scale factor from distance to area, we square it

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Square each term

2^2 : 3^2 area

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3 years ago

Show Work Please Thank You

Misha Larkins [42]

Answer:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

Step-by-step explanation:

We are given the trigonometric equation of:

$\displaystyle{\sin 4x = \dfrac{\sqrt{3}}{2}}$

Let u = 4x then:

$\displaystyle{\sin u = \dfrac{\sqrt{3}}{2}}\\\\\displaystyle{\arcsin (\sin u) = \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}\\\\\displaystyle{u= \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}$

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

$\displaystyle{u = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}$

Convert u-term back to 4x:

$\displaystyle{4x = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}$

Divide both sides by 4:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.

Therefore:

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1 year ago

The selling price of an item is $ 440 After 6 months of not selling, it is marked down by 30%. After another 6 months of not

liq [111]

440...marked down by 30% means u pay 70%
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3 years ago

How do I find the ratio of this? It makes no sense to me

Volgvan

Answer:

$\frac{169}{289}$

Step-by-step explanation:

Given 2 similar figures with ratio of sides = a : b, then

ratio of areas = a² : b²

Here ratio of sides = 52 : 68 = 13 : 17 ← in simplest form, thus

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5 0

3 years ago

Solving the whole thing

erik [133]

Let
x---------------> distance from people living to the city center

we Know that
Zone 1 covers people living within three miles of the city center
Zone 1 ------------> [x < 3 miles]

Zone 2 covers those between three and seven miles from the center
Zone 2 ------------> [ 3 <= x < = 7 miles]

Zone 3 covers those over seven miles from the center
Zone 3 ------------> [ x > 7 miles]

<span>calculate the distance between two points to find the value of x
</span>
case A) point (0,0) point (3,4)
x=√[(y2-y1)² +(x2-x1)²]----------> √[(4-0)² +(3-0)²]------> √[16+9]
x=√25-------------> x=5 miles

the answer Part A)
people living in (3,4)
x=5 miles -------------> covers Zone 2 [ 3 < =x <= 7 miles]

case B) point (0,0) point (6,5)
x=√[(y2-y1)² +(x2-x1)²]----------> √[(5-0)² +(6-0)²]------> √[25+36]
x=√61-------------> x=7.81 miles

the answer Part B)
people living in (6,5)
x=7.81 miles -------------> covers Zone 3 [ x > 7 miles]

case C) point (0,0) point (1,2)
x=√[(y2-y1)² +(x2-x1)²]----------> √[(2-0)² +(1-0)²]------> √[4+1]
x=√5-------------> x=2.23 miles

the answer Part C)
people living in (1,2)
x=2.23 miles -------------> covers Zone 1 [ x < 3 miles]

case D) point (0,0) point (0,3)
x=√[(y2-y1)² +(x2-x1)²]----------> √[(3-0)² +(0-0)²]------> √[9]
x=√9-------------> x=3 miles

the answer Part D)
people living in (0,3)
x=3 miles -------------> covers Zone 2 [ 3 < =x <= 7 miles]

case E) point (0,0) point (1,6)
x=√[(y2-y1)² +(x2-x1)²]----------> √[(6-0)² +(1-0)²]------> √[36+1]
x=√37-------------> x=6.08 miles

the answer Part E)
people living in (1,6)
x=6.08 miles -------------> covers Zone 2 [ 3 < = x <= 7 miles]

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3 years ago