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Feliz [49]
3 years ago
5

Consider the exponential function f(x) = 5(2) ^x

Mathematics
1 answer:
Soloha48 [4]3 years ago
5 0

Answer:

Step-by-step explanation:

The base is the number being raised to a power: (5/4).

The function is defined for all values of x, so the domain is (-∞, ∞).

The function given in this problem statement only has one value. That is the entirety of its range: [3(5/4)^3, 3(5/4)^3].

_____

Usually, an exponential function will have a range from 0 to infinity, not including either: (0, ∞). For that to be the case, we expect to see x in the exponent somewhere.

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A spherical paintball measures 1.5 centimeters in diameter. Approximately how much paint is in it?
algol [13]

In this problem, you are asked to compute for the volume of the spherical paintball. The formula in computing the volume of the sphere is:

V = 4/3 (pi) r^2

Where r = the radius of the sphere

Since the given measurement is in diameter, you need to compute the radius of the sphere. The radius of the sphere is half its diameter. Therefore, the radius of the sphere is 0.75 cm (1.5 cm / 2).

Substituting the radius to the formula and using 3.14 as the value of pi:

V = 4/3(3.14)(0.75)^2

V = 2.355 cm^3 or 2.36 cubic centimeters (note that cubic centimeter is equal to mL)

Therefore, there are approximately 2.36 mL of paint in the paintball.

 

3 0
3 years ago
SOMEONE PLS HELP ME FIND THE AREA OF THIS COMPOSITE FIGURE. ILL GIVE BRAINLIEST! also explain pls!
m_a_m_a [10]

Answer:

68 in.

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3 years ago
Help pls lol its timed
zaharov [31]
The total area of the shape is 32
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On Monday, a concession stand manager ordered 985 popcorn bags. She splits the bags evenly among 5 concession stands. How many p
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Each concession stand will receive 197 popcorn bags i used a calculator so it is right.

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3 years ago
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What are natural numbers in a set less than 3
sergeinik [125]
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