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Semenov [28]
3 years ago
8

Indicate whether the function represents an exponential growth or decay.

Mathematics
1 answer:
svetoff [14.1K]3 years ago
8 0

Answer:

1) decay

2) growth

3) growth

Step-by-step explanation:

A generic exponential function can be written as:

f(x) = A*(r)^x

Where:

A is the initial amount of something.

r is the rate of growth.

x is the variable, usually, represents time.

if r > 1, we have an exponential growth.

if r < 1, we have an exponential decay.

1) f(x) = (3/4)^x

in this case we have:

A = 1

r = (3/4) = 0.75

Clearly, r < 1.

Then this is an exponential decay.

2) f(x) = (1/6)*4^x

In this case we have:

A = (1/6)

r = 4

Here we have r > 1.

Then this is an exponential growth.

3) f(x) = (1/4)*(5/2)^x

in this case we have:

A = 1/4

r = 5/2 = 2.5

here we have r > 1, then this is an exponential growth.

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Men and women (ages 22–40) were surveyed to choose a favorite free-time activity: playing sports, dancing, or watching movies/TV
Gnesinka [82]

The correct two-way frequency table for the data is <u>Men </u><u>and </u><u>Women </u><u>Leisure Time Activity Preferences.</u>

<h3>What is a correct two-way frequency table?</h3>

A correct two-way frequency table displays frequencies for two categories (rows and columns) collected from categorical variables (men and women).

Men and Women Leisure Time Activity Preferences;

                Playing Sports     Dancing     Watching movies/TV   Row totals

Men                  11                         3                          6                          20

Women             5                       16                          9                          30

Column totals 16                       19                         15                          50

Hence, the correct two-way frequency table for the data is Men and Women Leisure Time Activity Preferences.

To learn more about two-way frequency tables click the link given below.

brainly.com/question/4555163

3 0
2 years ago
64×15=32×30 true or false
Dima020 [189]

\large \mathfrak{Solution : }

Yes, it's true because the value of LHS = RHS if we solve it .

  • 64 \times 15 = 32 \times 30

  • 90 = 90
4 0
3 years ago
Read 2 more answers
A triangle has side lengths of (3.76 + 1.7) centimeters, (1.36 + 1.1) centimeters,
pychu [463]

Answer:

Step-by-step explanation:

our triangle has one length:     3.76+1.7=5.46

                           another side: 1.36+1.1=2.46

                            last side:        7.1+5.1=12.20

Perimeter is=5.46+2.46+12.20=20.12 cm

7 0
3 years ago
If m(x) = 2x - 5 and n(x) = 2x + 5, what is n(m(3))?
Rus_ich [418]

9514 1404 393

Answer:

  n(m(3)) = 7

Step-by-step explanation:

n(m(3)) = n(2·3 -5) = n(1) = 2·1 +5

n(m(3)) = 7

3 0
3 years ago
A set of 200 test scores are normally distributed with a mean of 70 and a standard deviation of 5. Approximately how many studen
spin [16.1K]

Answer:  About 191 students scored between a 60 and an 80.

Step-by-step explanation:

Given : A set of 200 test scores are normally distributed with a mean of 70 and a standard deviation of 5.

i.e. \mu=70 and \sigma=5

let x be the random variable that denotes the test scores.

Then, the probability that the students scored between a 60 and an 80 :

P(60

The number of students scored between a 60 and an 80 = 0.9544 x 200

= 190.88 ≈ 191

Hence , about 191 students scored between a 60 and an 80.

8 0
3 years ago
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