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Rus_ich [418]
3 years ago
15

Which function represents exponential decay? f(x) = One-half (three-halves) Superscript x f(x) = One-half (negative three-halves

) Superscript x f(x) = 4(negative two-thirds) Superscript x f(x) = 4(two-thirds) Superscript x
Mathematics
2 answers:
viva [34]3 years ago
10 0

Answer:

f(x) = 4(\frac{2}{3})^{x}

Step-by-step explanation:

The first function is given as, f(x) = \frac{1}{2}(\frac{3}{2})^{x}.

Now, the value of this function increases i.e. value of f(x) increases as the x-value increases because \frac{3}{2} > 1.

Now, the second function is given as, f(x) = \frac{1}{2}(- \frac{3}{2} )^{x}.

This function can not be considered as a continuous function because - \frac{3}{2} < 0.

Again, the third function is given as, f(x) = 4(- \frac{2}{3})^{x}.

This function can also not be considered as a continuous function because - \frac{2}{3} < 0.

Finally, the fourth function is given to be, f(x) = 4(\frac{2}{3})^{x}.

In this function, the value of f(x) continuously decreases as the value of x increases, because 0 < \frac{2}{3} < 1.

Therefore, this function represents exponential decay. (Answer)

juin [17]3 years ago
9 0

Answer:

D

Step-by-step explanation:

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square with 8 sides

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the flower shop had 40 times as many flowers in one cooler as Julia has in her bouquet the cooler has 120 flowers how many flowe
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3 flowers are in Julias bouquet

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120 divided by 40 = 3

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The daily recommended allowance of calcium for a sixth grader is 1,200 mg. One cup of
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3 years ago
A fruit bowl is shaped like half of a sphere. The radius of the bowl is 15 cm. What is the volume of the bowl?
Delicious77 [7]

Answer:

(4500(Pi))/2 or 7068.585

Step-by-step explanation:

r = 15 cm

volume of a sphere:

(4/3)(Pi)r^3

Therefore:

(4/3)(Pi)15^3

15^3 = 3375

4/3 * 3375 = 4500

and since it is half a sphere (it is a bowl) the answer would be divided by two:

4500(Pi) divided by 2

14137.17 divided by 2

5 0
3 years ago
The figure below shows a rectangular lawn. 23ft 14ft (a) Use the calculator to find the perimeter and area of the lawn. Make sur
tamaranim1 [39]

The area and perimeter of the lawn will be 322 square feet and 74 feet. If the lawn will be mowed. Then the area will be used. If the lawn will be surrounded by a rope. Then the perimeter will be used.

<h3>What is a rectangle?</h3>

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The figure below shows a rectangular lawn.

Then the area of the rectangle will be

Area = 23 × 14

Area = 322 square feet

Then the perimeter of the rectangle will be

Perimeter = 2 (23 + 14)

Perimeter = 2 × 37

Perimeter = 74 feet

If the lawn will be mowed. Then the area will be used.

If the lawn will be surrounded by a rope. Then the perimeter will be used.

More about the rectangle link is given below.

brainly.com/question/10046743

#SPJ1

4 0
2 years ago
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