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svet-max [94.6K]
3 years ago
14

Create a table of values for the function f(x) = (1/3)^–x

Mathematics
1 answer:
mr_godi [17]3 years ago
5 0

Answer:

See the explanation

Step-by-step explanation:

The function given to us is:

f(x) = (1/3)⁻ˣ

We can convert the negative power into positive one by interchanging the numerator and denominator.

f(x) = (3/1)ˣ

f(x) = 3ˣ

Substitute value for x= -3 , -2, -1, 0, 1, 2, 3

f(-3) = 3⁻³ = 0.037

f(-2) = 3⁻² = 0.111

f(-1) = 3⁻¹ = 0.333

f(0) = 3⁰ = 1

f(1) = 3¹ = 3

f(2) = 3² = 9

f(3) = 3³ = 27

f(4) = 3⁴ = 81

and so on

The table of the found values of f(x) or y for the corresponding values of x, along with their graph is given below.

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A high school band asked a number of students whether they would like blue, gold, or both for the uniforms for the band. The res
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Given a Venn diagram showing the number of students that like blue uniform only as 32, the number of students that like gold uniform only as 25, the number of students that like blue and gold uniforms as 12 and the number of students that like neither blue nor gold uniform as 6.

Thus, the total number of students interviewed is 75.

Recall that relative frequency of an event is the outcome of the event divided by the total possible outcome of the experiment.

From the relative frequency table, a represent the relative frequency of the students that like gold but not blue.
From the Venn, diagram, the number of students that like gold uniform only as 25, thus the relative frequency of the students that like gold but not blue is given by
\frac{25}{75} = \frac{1}{3}=0.33=33\%

Therefore, a = 33% to the nearest percent.

Similarly, from the relative frequency table, b represent the relative frequency of the students that like blue but not gold.
From the Venn, diagram, the number of students that like blue uniform only as 32, thus the relative frequency of the students that like gold but not blue is given by
\frac{32}{75} = 0.427=42.7\%

Therefore, b = 43% to the nearest percent.
7 0
3 years ago
Based only on the given information, it is guaranteed that AB is perpendicular to CD. True or false
Musya8 [376]

Answer:

true

Step-by-step explanation:

because CD divided AB into equal halves, so they are of course perpendicular.

3 0
3 years ago
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Is (11,9), (11,5), (9,3) a function
Marina86 [1]

Answer:

\huge{ \boxed{ \sf{No}}}

✑ Question :

  • Is ( 11 , 9 ) , ( 11 , 5 ) , ( 9 , 3 ) a function ?

No , it's not a function.

✎ Reason :

This is not a function because one element 11 of set A is associated to elements 9 and 5 of set B.

♨ Explore about function :

↪ Function is a special type of relation. It is the refinement of relation. In a relation from A to B , every element of set A should have only one ( distinct ) image in B to be a function. In other words , if no two different ordered pairs have the same first component , then it is a function.

Hope I helped!

Have a wonderful day ! ツ

~\sf{TheAnimeGirl} ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

7 0
2 years ago
What’s the approximate circumference of a circle with radius 10 feet?
Elis [28]

Answer: C≈62.83ft

Step-by-step explanation:

simply take your radius and times it by 2 and you get 20. then times twenty by pi.

8 0
3 years ago
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Find the volume of the sphere. Round your answer to the nearest tent
stira [4]

Answer:

See below for answer

Step-by-step explanation:

The radius of the sphere is 5 inches.   Correct?

Formula for the volume of a sphere is 4/3πr³

V = 4/3 · π · r³

V = 4/3 · π · 5³

V = 4/3 · π · 125

 V = 4/3 · 125 · π

 V = 500 /3 · π          

V =   523.3 cubic inches               Using π = 3.14  

if using π on the calculator  then V = 500/3 ·π = 523.6cubic inches

4 0
2 years ago
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