The radius of the balloon given the information in the question is 8.98cm.
<h3>What is the radius of the balloon?</h3>
The first step is to determine the volum of the balloon.
Volume = 81π cm^3 x 12 = 972π cm^3
Now, determine the radius using this formula:
∛[Volume / (4/3π )]
∛[972π cm^3/ (4/3π )] = 8.98cm
Here is the complete question:
Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon. What is the radius of the balloon?
To learn more about the volume of a sphere, please check: brainly.com/question/13705125
The correct representations of the given inequality are
–6x + 15 < 10 – 5x
and
A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options
<h3>Solving inequality</h3>
From the question, we are to solve the inequality
The given inequality is
–3(2x – 5) < 5(2 – x)
First, clear the brackets
–6x + 15 < 10 – 5x
NOTE: This is one of the correct representations of the inequality
Collect like terms
-6x + 5x < 10 - 15
-x < -5
Divide both sides by -1 and flip the sign
x > 5
Representing this on a number line, we get a number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is pointing to the right.
Hence, the correct representations of the given inequality are
–6x + 15 < 10 – 5x
and
A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options
Learn more on Inequalities here: brainly.com/question/246993
#SPJ1
The answer is 4 because the square root of 4 is -2, and that multiplied by 2 is -4
<span>t – (–16.5) = –13.4
t + 16.5 = -13.4
t = (-13.4) + (-16.5)
t = -29.9
Anser is A. t = -29.9</span>
Answer:
−(2x)/(5)−9
Step-by-step explanation:
Replace the function designators in g−1x
with the actual functions.
(3/5x−9)−1x
Simplify (3/5x−9)−1x
−(2x)/(5)−9