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disa [49]
3 years ago
12

The diameter of a spherical balloon that is being filled with air is increasing at the rate of 3 inches more than the time, t. W

hat will the volume, V, of the balloon be at t = 3 seconds?
Mathematics
1 answer:
Harrizon [31]3 years ago
5 0

Answer:

V=36 \pi cubic inches

Step-by-step explanation:

Diameter is increasing at 3 inches more than time, When t = 3

Diameter (d) = 3+3 = 6

d = 6

Radius is HALF of diameter, so

r = 6/2 = 3

Now, the volume of a sphere is given by the formula:

V=\frac{4}{3}\pi r^3

Putting r = 3, we get:

V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (3)^3\\V=36 \pi

The volume would be 36π

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Describe proportional relationships
irga5000 [103]

the constant of proportionality

Step-by-step explanation:

proportional relationships are relationships between two variables where there are ratios equivalent. another way to think about them is that in a proportional relationship that one variable is always constant value times the other that constant is known as the constant of proportionality

4 0
3 years ago
The graph of F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x). If F(x) = x^2, which of
katrin [286]

The transformed function is G(x) = -4x² after applying the transformation stretched vertically and flipped over the x-axis option (C) G(x) = -4x² is correct.

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

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The options are missing.

The options are:

A. G(x) = 4x²

B. G(x) = -(1/4)x²

C. G(x) = -4x²

D. G(x) = (1/4)x²

We have an equation of a function F(x)  

F(x) = x²

The transformation F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x)

To stretch vertically if the function is multiplied by a constant value

f(x) = ax²

To flip over the x-axis if multiply by negative value.

g(x) = -ax²

From the options

G(x) = -4x²

Thus, the transformed function is G(x) = -4x² after applying the transformation stretched vertically and flipped over the x-axis option (C) G(x) = -4x² is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

6 0
2 years ago
F(x)=2-3x I need help with this please
Fynjy0 [20]

Answer:

F= 0.5

Step-by-step explanation:

5 0
3 years ago
What is the answer of 10 to the power of -4<br><br> [tex] 10^-4
malfutka [58]
Remember
x^{-m}= \frac{1}{x^m}

so

10^{-4}= \frac{1}{10^4}= \frac{1}{10000}=0.0001


3 0
3 years ago
Choose all that correctly solve for the variable x
Ratling [72]
<h2>✔Answer</h2><h2>1. X = 3</h2><h2 /><h2>2. </h2><h2>\frac{7}{2}</h2><h2>3.</h2>

<h2>\frac{5}{6}</h2>

<h2>Hope it Helps❤</h2>
6 0
2 years ago
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