The side lengths 9, 13, and 17 form a triangle. true or false please answer ill do anything

Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye

svetlana [45]

Answer:

The required recursive formula is

$f(n)= 500\times(1.4)^{n-1}\\$

Step-by-step explanation:

Mohamed decided to track the number of leaves on the tree in his backyard each year.

The first year there were 500 leaves

$Year \: 1 = 500$

Each year thereafter the number of leaves was 40% more than the year before so that means

$Year \: 2 = 500(1+0.40) = 500\times 1.4\\$

For the third year the number of leaves increase 40% than the year before so that means

$Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\$

Similarly for fourth year,

$Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\$

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

$f(n)= 500\times(1.4)^{n-1}\\$

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

$f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330$

So there will be 10330 leaves in the 10th year.

3 0

3 years ago

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Debbie is 5 years older than

vovikov84 [41]

Answer:

Susan is 3 years and Debbie is 8 years old. after 2 years Susan will be 5 Years and Debbie will be 10 years old

Step-by-step explanation:

let the present age of Susan be x years then Debbie is x+5 years

in 2 years

x +2 = x+5+2/2

x+2=x+7/2

2x +4 = x+7

x=3

6 0

3 years ago

Find the slope of the line on the graph

Oksana_A [137]

The slope is 3/1, which can be simplified to 3. Find it by traveling up 3 points and over 1 point form one intersection point to the next.

5 0

3 years ago

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Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?

ZanzabumX [31]

Answer:

shows correct substitution of the values a, b, and c from the given quadratic equation into quadratic formula.

Step-by-step explanation:

Given: The quadratic equation

We have to show the correct substitution of the values a, b, and c from the given quadratic equation into quadratic formula.

The standard form of quadratic equation is then the solution of quadratic equation using quadratic formula is given as

Consider the given quadratic equation

Comparing with general quadratic equation, we have

a = -3 , b = -2 , c = 6

Substitute in quadratic formula, we get,

Simplify, we have,

Thus, and x_{2}=\frac{2-\sqrt{76} }{-6}

Simplify, we get,

Thus, shows correct substitution of the values a, b, and c from the given quadratic equation into quadratic formula.

3 0

3 years ago

Jordy walked 1/3 mile in 15 minutes walking at this same pace how far would he get in an hour

Digiron [165]

Answer:

1.3 miles is your answer

3 0

3 years ago

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