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tensa zangetsu [6.8K]
3 years ago
13

What's the difference quotient: F(x)=x^3

Mathematics
1 answer:
zaharov [31]3 years ago
5 0
\dfrac{F(x+h)-F(x)}h=\dfrac{(x+h)^3-x^3}h=\dfrac{x^3+3x^2h+3xh^2+h^3-x^3}h=3x^2+3xh
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The population of rabbits on an island is growing exponentially. In the year 1990, the population of rabbits was 1200, and by 19
kobusy [5.1K]

Answer:

2023 rabbits

Step-by-step explanation:

The exponential model consists of the following expression:

y = A \cdot r^{t}

Where:

A - Initial population.

r - Increase rate.

t - Time

y - Current population.

The initial population and increase rate are, respectively:

1200 = A \cdot r^{0}

A = 1200

1700 = 1200 \cdot r^{4}

r^{4} = \frac{1700}{1200}

r^{4} = \frac{17}{12}

r = \sqrt[4]{\frac{17}{12} }

r \approx 1.091

The exponential model that predicts the population of rabbits is:

y = 1200\cdot 1.091^{t}

Lastly, the expected population for the year 1996 is:

y = 1200\cdot 1.091^{6}

y\approx 2023.624\,rabbits

5 0
3 years ago
can someone please help me solve these problems I did accept it on another paper I'm trying to see if I got them all correct I n
Hunter-Best [27]
3.
3 \div 30 = 10
sorry all I can help with at 10:15 at night
7 0
3 years ago
What is the area of this? Please help
Slav-nsk [51]

Answer:

<u>364 cm²</u>

Step-by-step explanation:

Area of the figure :

  • Area (triangle) + Area (rectangle 1) + Area (rectangle 2) + Area (rectangle 3)
  • 1/2 x 20 x 14 + 12 x 9 + 7 x 3 + 19 x 5
  • 140 + 108 + 21 + 95
  • 248 + 21 + 95
  • 269 + 95
  • <u>364 cm²</u>

3 0
2 years ago
Read 2 more answers
Your favorite ice cream shop has 21 flavors. You want to see which flavors are most popular. Which type of chart would be best f
Oksana_A [137]

Answer:

This in fact would be a bar graph

Using a bar graph you can see the amount of people who like a specific type of ice cream

Hope this helps :)

Have a great day love :)

8 0
3 years ago
How to find area of triangle
torisob [31]

Answer:

\displaystyle A =\frac{B*H}{2}

Step-by-step explanation:

    To find the area of a triangle, we can use the formula of:

\displaystyle A =\frac{B*H}{2}

    This formula comes from the area of a rectangle, because a triangle is half a rectangle.

3 0
2 years ago
Read 2 more answers
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