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Cerrena [4.2K]
3 years ago
9

A beehive has a population of 300. The population is increasing at a rate of 10% per year. How can you write an exponential grow

th function to find the daily growth rate?
Mathematics
1 answer:
kobusy [5.1K]3 years ago
4 0

Answer:

300 × (1 + 0.10)^n

Step-by-step explanation:

The computation is shown below:

Given that

The population is 300

And, the population would be increased at a rate of 10% each year

So, the exponential growth function to calculate the daily growth rate is

= 300 × (1 + 0.10)^n

Here n represent the number of years or the time period

So, the above show the exponential growth function

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1. Write a rule that will take the triangle to a congruent triangle. Write your rule as (x,y)
olga nikolaevna [1]

Transforming a shape involves changing the size and/or the location of the shape.

  • The rule that will take the triangle to a congruent triangle is (x,y) \to (x,-y)
  • The rule that will take the triangle to a figure that is similar is (x,y) \to (0.5x,0.5y).
  • The rule that will take the triangle to a figure that is not similar or congruent is (x,y) \to (0.5x,2y).

<h3>Rigid transformation</h3>

When a shape is transformed by a rigid transformation, then the image of the shape will be congruent to the original shape.

An example of a rigid transformation is a reflection over the x-axis; and the rule is:

(x,y) \to (x,-y)

So, a rule that will take the triangle to a congruent triangle is (x,y) \to (x,-y)

<h3>Nonrigid transformation</h3>

When a shape is transformed by a nonrigid transformation, then the image of the shape will not be congruent to the original shape, however the original shape and the transformed shape would be similar

An example of a nonrigid transformation is a dilation by a scale factor od 0.5; and the rule is:

(x,y) \to (0.5x,0.5y)

So, a rule that will take the triangle to a figure that is similar is (x,y) \to (0.5x,0.5y)

However, if the x and y coordinates of the shape are dilated by different scale factors, then the resulting shape would neither be similar nor be congruent to the original shape.

A rule that will take the triangle to a figure that is not similar or congruent is (x,y) \to (0.5x,2y).

Read more about transformation at:

brainly.com/question/4289712

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Answer:

Step-by-step explanation:

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At the end of the year, Juan has 52.71 more than 4 times his balance at the beginning. Okay, let's set this up.

4x + 52.71
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