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kramer
2 years ago
10

Ariel is filling a giant beach ball with air. The radius of the beach ball is 30 cm.

Mathematics
1 answer:
Rzqust [24]2 years ago
6 0

Answer:

113040

Step-by-step explanation:

Volume of a sphere:

V = 4/3πr³

V = 4/3(3.14)30³

V = 4/3(3.14)27000

V = 113040

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zvonat [6]

The general formula for exponential growth and decays is:

y=y_0e^{kx}

if k>0 then then it is an exponential growth function. If k<0 then the function represents an exponential decay.

Now we need to classify each of the functions:

1.

The function

y=\frac{1}{4}(\frac{1}{e})^{-2x}

can be wrtten as:

\begin{gathered} y=\frac{1}{4}(e^{-1})^{-2x}^{} \\ =\frac{1}{4}e^{2x} \end{gathered}

comparing with the general formula we notice that k=2, therefore this is an exponential growth.

2.

The function

y=(\frac{1}{e})^{4x}

can be written as:

\begin{gathered} y=(\frac{1}{e})^{4x} \\ y=(e^{-1})^{4x} \\ y=e^{-4x} \end{gathered}

comparing with the general formula we notice that k=-4, therefore this is an exponential decay.

3.

The function

y=2e^{-x}+1

comparing with the general formula we notice that k=-1, therefore this is an exponential decay.

5 0
1 year ago
Solve the system of equations using substitution. y = x + 6 y = –2x – 3 (4, –11) (1, 7) (–3, 3)
sergejj [24]
The answer to the question

5 0
2 years ago
What is the simplified value of the exponential expression 64 1/3?
notka56 [123]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

4

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

  • I am assuming that the fraction is supposed to be the exponent.  

⸻⸻⸻⸻

64^{\frac{1}{3}}\\--------\\\rightarrow \text{Recall the exponent rule: } a^{\frac{m}{n}}=(\sqrt[n]{a})^m\\\\\\\rightarrow \sqrt[3]{64}\\\\\rightarrow  \boxed{4}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

3 0
2 years ago
Which expression forms an equation with the given expression 14 + 2 • 12 ÷ 3 = ___________
Talja [164]
14+2*12/3=
14+24/3=
14+8=
22
8 0
2 years ago
I need help on this, please!
xenn [34]

Answer:

(5,9) and (5,3)

Step-by-step explanation:

Because the point is (5,6), and the question tells you to plot two points that are three units away from (5,6) but share the same X coordinate.

The X coordinate is 5. And 6 is the Y coordinate, if we do 6-3=2. 6+3=9.

4 0
2 years ago
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