Answer:
19 11/36
Step-by-step explanation:
19 3/4−4/9
Get a common denominator of 36
19 3/4 *9/9 = 19 27/36
4/9*4/4 = 16/36
19 27/36 - 16/36 = 19 11/36
There are two <em>true</em> statements:
- When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
- 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:
- When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
- V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.
To learn on composition between functions: brainly.com/question/12007574
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Answer:
25% Decrease
Step-by-step explanation:
15/20 is 75%. 100-75 (since they read less) is 25%
<h3>
Answer:</h3>
25
<h3>
Step-by-step explanation:</h3>
Let w represent the weight of the animal in pounds, and d the age in days. The problem statement tells us ...
... w = 75 +2d
We want to find d when w > 125.
... 75 +2d > 125 . . . . . substitute the above expression for w
... 2d > 50 . . . . . . . . . subtract 75
... d > 25 . . . . . . . . . . . divide by 2
The animal will weigh more than 125 pounds when it is more than 25 days old.
=
Multiply both sides by v
<span>
= w Multiply both sides by x
</span>kv = wx Divide both sides by w
<span>
= x Switch the sides to make it easier to read
</span>
x = <span>
</span>
