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Blababa [14]
1 year ago
7

A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the

algae, f(d), in mm, after d days:
f(d) = 7(1.06)d

Part A: When the biologist concluded her study, the radius of the algae was approximately 13.29 mm. What is a reasonable domain to plot the growth function?

Part B: What does the y-intercept of the graph of the function f(d) represent?

Part C: What is the average rate of change of the function f(d) from d = 4 to d = 11, and what does it represent?
Mathematics
1 answer:
vitfil [10]1 year ago
4 0

Let's solve for d.

fd=(7)(1.06)d

Step 1: Add -7.42d to both sides.

df+−7.42d=7.42d+−7.42d

df−7.42d=0

Step 2: Factor out variable d.

d(f−7.42)=0

Step 3: Divide both sides by f-7.42.

d(f−7.42)f−7.42=0f−7.42

d=0f−7.42

Answer:

d=0f−7.42

PLEASE MARK ME AS BRAINLIEST

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Answer:

1.25

Step-by-step explanation:

let \: a = x \: and \: b = y

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36xy = 45

xy =  \frac{45}{36}

xy = 1.25

therefore \: ab \: is \: 1.25

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s

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1 year ago
EASY MATH PLEASE HELP!! : )
Mademuasel [1]

120

10 x 8 = 80

8 x 5 = 40

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8 0
1 year ago
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What is a21 of the arithmetic sequence for which a7=−19 and a10=−28? A. -35 B. 35 C. -58 D. -61
shepuryov [24]

Answer:

a21 = -61

Step-by-step explanation:

a_{n}=a_{1}+(n-1)d

-19=a_{1}+(7-1)d

-28=a_{1}+(10-1)d (subtract to eliminate a₁)

9 = -3d

d = -3

-19 = a₁ + (6)(-3)

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a21 = -1 + (21 - 1)(-3)

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8 0
1 year ago
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The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t
valentina_108 [34]
The answer is  0 < x <span>≤ 7 
</span>
First, we know that width =  x
Which means that length = x +18

So, the possible equation for the Table's area is

X (X + 18)  ≤ 175

X^2 + 18x - 175  <span>≤ </span>0

Next, we need to calculate is by using complete square method
x^2 + 18x + 81 <span>≤ 175 + 81

(x + 9)^2 </span><span>≤ 256

|x + 9| </span><span>≤ sqrt(256)

|x + 9| </span><span>≤ +-16

-16 </span>≤ x + 9 <span>≤ 16

</span>-16 - 9 ≤ x <span>≤ 16 - 9

</span>-25 ≤ x <span>≤ 7

Since the width couldn't be negative, we can change -25 with 0,

so it become
</span> 0 < x ≤ 7 
7 0
1 year ago
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