Exponential functions are defined as y = Abˣ, where b > 0 and b≠1. The multiplicative rate of change of the function is (1/5).
<h3>What is an exponential function?</h3>
Exponential functions are defined as y = Abˣ, where b > 0 and b≠1. As with every exponential equation, b is known as the base and x is known as the exponent. Bacterial growth is an example of an exponential function. Some germs multiply every hour.
An exponential equation is represented by y=Abˣ, given the table with the values, substitute the values from the first row we will get,
y=Abˣ
2=A x b¹
2 = Ab
A = 2/b
Now, substitute the values in the equation from the second row,
y=Abˣ
![\dfrac{2}{5} = \dfrac{2}{b} \times b^2\\\\\dfrac{2}{5} = 2b\\\\b= \dfrac{1}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B5%7D%20%3D%20%5Cdfrac%7B2%7D%7Bb%7D%20%20%5Ctimes%20%20b%5E2%5C%5C%5C%5C%5Cdfrac%7B2%7D%7B5%7D%20%3D%202b%5C%5C%5C%5Cb%3D%20%5Cdfrac%7B1%7D%7B5%7D)
Hence, the multiplicative rate of change of the function is (1/5).
Learn more about Exponential Function:
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The angle made by the apothem and the radius is 30 degrees. Then the correct option is B.
<h3>What is a polygon?</h3>
The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The apothem of a regular hexagon measures 8 cm.
Then the side length of the hexagon will be
![\rm x = \dfrac{8}{\sin 60^o}= 9.24\ cm](https://tex.z-dn.net/?f=%5Crm%20x%20%3D%20%5Cdfrac%7B8%7D%7B%5Csin%2060%5Eo%7D%3D%20%209.24%5C%20cm)
The perimeter of the hexagon will be
Perimeter = 6 × 9.24 = 55.43 cm
The area of the hexagon will be
Area = 0.5 × 8 × 9.24 = 36.95 cm².
The angle made by the apothem and the radius is 30 degrees.
More about the polygon link is given below.
brainly.com/question/17756657
Answer:
p is less or equal to 3
Step-by-step explanation:
because atleast means almost 3 if not less
Answer:
π < ∅ < 3π/2
Step-by-step explanation:
Look at the unit circle. sin() and cos() are less than 0, so they are negative. The only place where cos() and sin() are both negative is in the third quadrant (the area I shaded in green).
tan() is the same as sin()/cos(). If you look in the third quadrant, you can divide the sin() value by the cos() at any point and it'll give you a positive number between 0 and 2 because negative divided by negative will give you a positive number.
Answer:
C. 469 in²
Step-by-step explanation:
The net of the object is a rectangle that is 28 inches long and 14 inches wide. Its area is 392 square inches.
In addition, there are two triangles with base 11 inches and height 7 inches. Together, they have the area of a rectangle 7 by 11, or 77 square inches.
The total surface area of the prism is then ...
(392 + 77) in² = 469 in²
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The area of a rectangle is the product of its length and width.
The area of a triangle is half the product of its base and height. So, the area of two identical triangles is the product of their base and height.
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<em>Comment on the geometry</em>
This geometry cannot exist as shown. The height of the triangular face is closer to 6.454 inches than to 7 inches.