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3 years ago

If someone could help with this one 2 it would be greatly appreciated

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

3 0

Given recursive formula is

f(n) = 22 * f(n - 1)

Where first term : f(1) = 10

And we need to find the first five terms of this sequence. So , let's find the second term by plug in n = 2 in the above formula. Therefore,

f (2) = 2.2 * f ( 2 -1)

= 2.2 * f(1)

= 2.2 * 10

= 22

So second term is 22.

Similarly plug in 3 for n to get the third term. Hence,

f(3) = 2.2 * f(3 -1) = 2.2 * f(2) = 2.2 * 22= 48.4

f(4) = 2.2 *f( 4 -1) = 2.2 * f(3) = 2.2* 48.4 = 106.48

f(5) = 2.2* f(5-1)= 2.2 * f(4) = 2.2 * 106.48 = 234.256

So, the first five terms are 10, 22, 48.4, 106.48 and 234.256.

Hope this helps you!

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Angelo is making a rectangular floor for a clubhouse with an area of 84 square feet. The length if each side of the floor is a w

Alexxandr [17]

Answer:

L=1 ft and B=84 ft

L=2 ft and B=42 ft

L=4ft and B=21ft

L=6ft and B=14 ft

L=7ft and B=12ft

L=12 ft and B=7ft

L=14ft and B=6 ft

L=21 ft and B=4 ft

L=42 ft and B=2 ft

L=84 ft and B=1 ft

Step-by-step explanation:

We are given that

Area of rectangular floor=84 square feet

We have to find the possible length and width of for Angelo's clubhouse.

Area of rectangle= $length\times breadth$

Using the formula

Area of rectangular floor for clubhouse=84 square feet

$Length(L)\times breadth(B)=84$

Factor of 84 are

1,2,4,6,7,12,14,21,42,84

Therefore, possible dimension of rectangular floor

$1ft\times 84ft,2ft\times 42ft,4ft\times 21ft,6ft\times 14ft,7ft\times 12ft,12ft\times 7ft,14ft\times 6ft,21ft\times 4ft,42ft\times 2ft,84ft\times 1ft$

L=1 ft and B=84 ft

L=2 ft and B=42 ft

L=4ft and B=21ft

L=6ft and B=14 ft

L=7ft and B=12ft

L=12 ft and B=7ft

L=14ft and B=6 ft

L=21 ft and B=4 ft

L=42 ft and B=2 ft

L=84 ft and B=1 ft

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3 years ago

Harold wrote this equation to model the level of water in a pool over time. The variable x represents time in hours. f(x) = 3,50

lina2011 [118]

Answer:

The water level is falling.

The initial level of water in the pool was 3,500 units

The water was 2,600 units high after 4 hours.

Step-by-step explanation:

The given function that models the water level is

$f(x)=3,500-225x$

where $x$ represents time in hours.

The function represents a straight line that has slope $m=-225$

Since the slope is negative, it means the water level is falling.

The initial level of water in the pool can found when we put $x=0$ into the function.

$f(0)=3,500-225(0)$

$f(0)=3,500$ , hence the initial level is 3,500.

To determine the level of water in the pool after 14 hours, we put $x=14$ into the equation to get;

$f(14)=3,500-225(14)$

$f(14)=3,500-3150$

$f(14)=350$

To determine the water level after 4 hours we put $x=4$

$f(4)=3,500-225(4)$

$f(4)=3,500-900$

$f(14)=2,600$

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Answer:

AD is the diameter

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An inscribed angle subtends an arc that is twice its measure, so arcs ABD and AED are both 180°. That makes chord AD a diameter.

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Answer:

x=0

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30x=60-60

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