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Finger [1]
3 years ago
10

What is the average rate of change of the function on the interval from x = 0 to x = 5?

Mathematics
2 answers:
bixtya [17]3 years ago
8 0
The average rate is 3^x/2
damaskus [11]3 years ago
6 0

Answer:

Average rate of change = 24.2

Step-by-step explanation:

f(x)=\frac{1}{2}3^x

Average rate of change formula is on interval a to b is

\frac{f(b)-f(a)}{b-a}

Given interval is x=0 to x=5

a=0 and b=5

Average rate = \frac{f(5)-f(0)}{5-0}

f(0)=\frac{1}{2}3^0=\fracc{1}{2}=0.5

f(5)=\frac{1}{2}3^5=\frac{3^5}(2}=121.5

Average rate = \frac{f(5)-f(0)}{5-0}

Average rate = \frac{121.5-0.5}{5}=24.2

Average rate of change = 24.2

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3 years ago
Determine whether the two triangles can be proven congruent using the AAS congruence method. If they can, select the congruence
Dmitry_Shevchenko [17]

Answer:

The A) ΔABC ≅ ΔEDC

Step-by-step explanation:

The AAS congruence method requires 2 angles and their un-included side to be congruent. ∠A ≅ ∠E due to the markings, ∠C ≅ ∠C because they are vertical angles, and AB ≅ ED due to the markings. 2 angles and their un-included side are congruent.

As for the congruence statement, A is the correct answer because ∠A ≅ ∠E, ∠B ≅ ∠D, and ∠C ≅ ∠C. The order of the naming of the triangles aligns to the angle's congruence.

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3 years ago
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kipiarov [429]

Answer:

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Sum of the interior angles of a polygon with 31 sides = (n-2) x 180 degrees = (31-2) x 180 degrees = 5220 degrees

Interior Angle of a polygon with 31 sides = (n-2) x 180/n degrees = (31-2) x 180/31 degrees = 168.38 degrees

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Inradius = Radius of In-circle = (side length) x cot (Π/31) = 9 x cot 5 = 88.5 units

Circumradius = Radius of Circum-circle = (side length) x cosec (Π/31) = 9 x cosec 5 degrees = 88.96 units

Symmetry Group = D31 31 rotational symmetries and 31 reflection symmetries. The "D" stands for di-hedral.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago
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Answer:

-9/8, or -1.125

Step-by-step explanation:

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