1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alecsey [184]
2 years ago
11

Interpreting composite functions in the real world The volume of air in a balloon is represented by the function v(r)=4/3 ³, whe

re r is the radius of the balloon, in
inches. The radius of the balloon increases with time, in seconds, by the function r(t) = 1/4 t².
Write a composite function that can be used to determine the volume of the balloon after t seconds. Then, select the
two true statements.

Mathematics
1 answer:
adoni [48]2 years ago
7 0

There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
  2. V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

<h3>How to use composition between two function</h3>

Let be <em>f</em> and <em>g</em> two functions, there is a composition of <em>f</em> with respect to <em>g</em> when the domain of <em>f</em> is equal to the range of <em>g</em>. In this question, the <em>domain</em> variable of the function V(r) is replaced by substitution.

If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:

V(t) = (4/3) · π · [(1/4) · t²]³

V(t) = (4/3) · π · (1/64) · t⁶

V(t) = (1/48) · π · t⁶

There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
  2. V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

To learn on composition between functions: brainly.com/question/12007574

#SPJ1

You might be interested in
3 hrs 20 minutes- 1 hr 48 minutes
Nana76 [90]

You first convert everything to minutes

3hrs= 60x3=180mins

1hr= 60x1=60mins

then you add 20 to 180

200

and you also add 48 to 60

104

200-104=

96

Then you convert to hrs and mins

96-60=36

1hr 36mins

5 0
3 years ago
joe and his mother built a deck in the shape of a rectangle. the width of the deck is 12 feet. the length of the diagonal is 20
jek_recluse [69]
12 x 20= 240
The area is 240 ft.^2
8 0
3 years ago
Can someone please help ? (:
ratelena [41]
Wow! There so much extra stuff on this drawing, naturally it's hard to see
what's going on.

First, do you remember "vertical angles" ?  They're the pair of opposite angles
that form where lines cross, and they're equal.

-- It says that angle-1 is 55 degrees.
Angle-1 and angle-7 are vertical angles, so angle-7 is also 55 degrees.

-- It says that angle-4 is 60 degrees.
Angle-4 and angle-6 are vertical angles, so angle-6 is also 60 degrees.

Now you can forget about all that stuff that's outside of the triangle in the middle,
and just look at the triangle. They want you to find angle-10.


See the angles at the top of the triangle ... angle-7 and angle-6 ?
We know what both of those are.  Angle-7 is 55 degrees, and angle-6 is 60 degrees.

Do you remember what the 3 angles inside a triangle always add up to ?
They always add up to 180 degrees.

Add angle-7 and angle-6 together . . . 55 + 60 = 115 degrees.

So angle-10 is just the rest of the 180 degrees inside the triangle.

Angle-10 = 180 - (115) = 65 degrees



8 0
3 years ago
Read 2 more answers
State if the two triangles are congruent. If they are, state how you know.
nydimaria [60]

Answer: Your answer is 2) SAS

Step-by-step explanation: Yes, there are congruent.

6 0
3 years ago
Look at the series of lines drawn below.
Katyanochek1 [597]

Step-by-step explanation:

B) perpendicular and intersecting

6 0
3 years ago
Other questions:
  • If they are similar or not?
    15·1 answer
  • What number should be added to -28 to make the sum 0​
    13·2 answers
  • What system of equations is shown on the graph below?
    5·1 answer
  • Solve √(2x+3)=x for x showing work
    8·1 answer
  • Add <br> (-9y^2-8y)+(6y^2+2y-1)
    14·1 answer
  • A cookie recipe calls for 2 tablespoons of sugar and 6 tablespoons of flour.If mom puts 5 tablespoons of sugar,how many tablespo
    14·1 answer
  • A(-1,-5), B(5,-2) and C(1, 1).
    5·1 answer
  • In a survey of market, it is found that 143 persons use white toothpaste and 135 use red toothpaste. If 70 of them use both the
    6·1 answer
  • What does solution of a system of linear equation mean??<br> PLEASE GET THIS RIGHT!!!!!
    6·2 answers
  • At a restaurant, 36%
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!