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Scorpion4ik [409]
3 years ago
14

Anisa is cooling water in her fridge.The waters temperature starts at 85 degrees and she cools it 3.5 degrees every minute for 1

2 minutes.Create a number sentence to model this scenario.
Mathematics
1 answer:
melomori [17]3 years ago
6 0
The temperature starts at 85 degrees.
t = 85

After 1 minute, it loses 3.5 degrees.
t = 85 - 3.5

After 2 minutes, it loses another 3.5 degrees.
t = 85 - 3.5 * 2

After 3 minutes, it loses another 3.5 degrees.
t = 85 - 3.5 * 3

etc.

After 12 minutes, it loses another 3.5 times 12 degrees.
t = 85 - 3.5 * 12
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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
adoni [48]

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

7 0
2 years ago
Ritz can eat 8 apples in 15 minutes. How long does it take Ritz to eat 16 apples at the same rate?
natka813 [3]
The rate Ritz can eat apples is 8/15 apples per minute.

Set the rate (which is measured apples / minutes) equal to 16 apples / t minutes.

(8/15) = (16/t)

Cross multiply.

16*15 = 8t

t = 20

The answer is 30 minutes. You could solve the problem with basic reasoning as well. 16 is twice the number of apples as 8, so the time it takes to eat them will be double 15 minutes.
5 0
3 years ago
The pie store is having a 10% off sale on all of its pies. If the pie you want regularly costs $18, how much would you save with
sasho [114]
If there is 10% of $18 = 18 x 0.9 (1 - 0.1) = $16.20
Therefore the pie costs $16.20
He is saving 18 - 16.20 = $1.80
8 0
3 years ago
Read 2 more answers
Determine whether the graph of y^5=x^3 is symmetric with respect to the Y axis the x-axis or the origin.
zhannawk [14.2K]

9514 1404 393

Answer:

  the origin

Step-by-step explanation:

Both terms are of odd degree, so the function is an odd function. It is symmetrical with respect to the origin.

__

If you recast this as y = f(x), then ...

  f(x) = x^(3/5)

When we look at f(-x), we find ...

  f(-x) = ((-x)^3)^(1/5) = -(x^3)^(1/5) = -(x^(3/5)) = -f(x)

An odd root of a number has the same sign as the number.

When f(-x) = -f(x), the function is odd and symmetrical about the origin.

7 0
3 years ago
Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-
Rufina [12.5K]
To make a positive profit p(x)>0 we need to make:
-100 x^{2} +350x-150 \ \textgreater \  0

Now we solve this for x:
-2 x^{2} +7x-3 \ \textgreater \ 0

We have:
a = -2
b = 7
c = -3

We will use formula for quadratic equation:
x_{1} =  \frac{-b+ \sqrt{ b^{2}-4ac } }{2a}  \\  \\  x_{2} =  \frac{-b- \sqrt{ b^{2}-4ac } }{2a}  \\  \\  x_{1} =  \frac{-7+ \sqrt{ 49-24 } }{-4} = \frac{-7+5 }{-4} = \frac{-2 }{-4} = \frac{1}{2}  \\  \\  x_{2} =  \frac{-7- \sqrt{ 49-24 } }{-4}  = \frac{-7-5 }{-4} = \frac{-12 }{-4} = 3

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3
5 0
3 years ago
Read 2 more answers
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