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2 years ago

15

An ordered pair that has a negative x-coordinate and a positive y-coordinate (- , + ) would be plotted in which quadrant? (Remem

ber to use Roman Numerals to write the quadrant numbers.)

1 answer:

gladu [14]2 years ago

4 0

The quadrant this would be in is II

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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

2 years ago

Read 2 more answers

At the end of a meal in a restaurant, a person wants to have pie a la mode (pie topped with ice cream) for dessert. there are 5

JulsSmile [24]

1/5x1/2=1/10

1/5 because there are 5 flavors.
1/2 because there are 2 kinds of pies.
So the answer is 1/10.

Hope this helps.

6 0

2 years ago

Read 2 more answers

Tim has two spinners , spinnerA and spinner B. Each spinner can only land on red or blue . The probability that spinner A will l

Ganezh [65]

Answer:

52

Step-by-step explanation:

<u>Spinner A</u>

Probability of red = 0.5,
Probability of blue = 0.5

<u>Spinner B</u>

Probability of red = 0.6,
Probability of blue = 0.4

<u>Probability of both A and B land on red: </u>

0.5*0.6= 0.3

<u>Number of attempts to get outcome of 84 red on both spinners is:</u>

84/0.3= 260

<u>Probability of both spinners land on blue:</u>

0.5*0.4= 0.2

<u>Estimated number of both spinners land on blue:</u>

260*0.2= 52

4 0

2 years ago

Mike Hawk has two skateboards.

yulyashka [42]

The answer is C) 3 .

4 0

2 years ago

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Multiply. −4 1/7 x 3 1/2 Enter your answer, in simplest form, in the box.

Alisiya [41]

ANSWER:

-14 1/2

STEP-BY-STEP:

-4 1/7 x 3 1/2 = -14.50

-14.50 turned into the simplest fraction it can be, without changing the whole number, is -14 1/2

8 0

2 years ago