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alina1380 [7]
1 year ago
15

These equations represent the number of bacteria in four different dishes as a function of time, t, in days. Which equation repr

esents the population with the greatest growth factor (also called common factor)?
SOMEONE ANSWER THIS ANS YOU’LL EARN FREE EASY POINTS FOR GIVING ME THE RIGHT ANSWER!!

Mathematics
1 answer:
bagirrra123 [75]1 year ago
7 0

<u>The growth factor</u>:

   ⇒ <em>is the </em><u><em>base in the exponent</em></u><em>:</em>

<em>        ⇒ the larger it is ⇒ the greater the growth factor is!</em>

<em />

<u>Let's Analyze our choices:</u>

  • c(t)'s growth factor: 5/2
  • a(t)'s growth factor: 5/6
  • d(t)'s growth factor: 3
  • b(t)'s growth factor: 1/50

<u>The greatest growth factor is 3</u>

<u />

<u>Answer: d(t)</u>

<u></u>

Hope that helps!

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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
75 POINTS!!! PLEASE ANSWERl
denpristay [2]

Answer:

67th percentile

Step-by-step explanation:

If the mean is 8 with a standard deviation of 1.5, the percentile rank of a shoe with at least a size of 9 is 66.6 repeating, or 67th if rounded.

4 0
3 years ago
Read 2 more answers
The sequence a1 = 6, an = 3an-1 can also be written as
wariber [46]
The question as presented is incomplete, here is the complete question with the multiple choice:

The sequence a1 = 6, an = 3an − 1 can also be written as:

1) an = 6 ⋅ 3^n
2) an = 6 ⋅ 3^(n + 1) 
3) an = 2 ⋅ 3^n
4) an = 2 ⋅ 3^(n + 1)

The correct choice is option 3) an = 2⋅3^n.

If we look at the initial sequence an = 3⋅an-1, and

a1 = 3⋅a0 = 6
a0 = 6/3
a0 = 2

We can now look at the sequence.

a0 = 2
a1 = 6
a2 = 18
a3 = 54
etc...

A common factor in each of those numbers is 2, so we can rewrite the sequence by factoring out 2.

a0 = 2⋅1
a1 = 2⋅3
a2 = 2⋅9
a3 = 2⋅27

The numbers being multiplied by 2 are all factors of 3. So we can rewrite the sequence again as:

a0 = 2⋅3^0
a1 = 2⋅3^1
a2 = 2⋅3^2
a3 = 2⋅3^3

This sequence can now be rewritten as an = 2⋅3^n.
7 0
2 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPP
mixer [17]

Answer:

x = 20

Step-by-step explanation:

The angles shown are alternate exterior angles.

Alternate exterior angles are congruent

This means that 46 must equal 3x - 14

Note that we've just created an equation that we can use to solve for

We now use the equation to solve for x

3x - 14 = 46

add 14 to both sides

3x - 14 + 14 = 46 + 14

simplify

3x = 60

Divide both sides by 3

3x / 3 = x

60 / 3 = 20

We get that x = 20

4 0
2 years ago
1) You are designing a new kiddie soccer arena. The area of the rectangular
nikdorinn [45]

Answer:

The length of the rectangular field is 12 ft and the width is 5 ft.

Step-by-step explanation:

The area of a rectangle is:

\text{Area} = \text{length}\times \text{width}

The area of a rectangular field is, <em>A</em> = 60 ft.

The length of the field is:

l = w + 7

Compute the width of the field as follows:

\text{Area} = \text{length}\times \text{width}

60=(w+7)\times w\\\\60=w^{2}+7w\\\\w^{2}+7w-60=0\\

Factorize the last equation by splitting the middle term as follows:

w^{2}+7w-60=0\\w^{2}+12w-5w-60=0\\w(w+12)-5(w+12)=0\\(w-5)(w+12)=0

Now, since the width of rectangular field cannot be negative, the width is 5 ft.

Compute the length as follows:

l = w + 7

 = 5 + 7

 = 12

The length of the rectangular field is 12 ft.

7 0
2 years ago
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