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RideAnS [48]
3 years ago
8

A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the

plant f(n), in cm, after n days:
f(n) = 10(1.02)n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)
Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0

Answer:

PART A)

11.04 = 10(1.02)^n

1.104 = 1.02^n

ln 1.104 = ln 1.02^n

ln 1.104 = n ln 1.02

n = ln 1.104/ ln 1.02

n = 4.99630409516

4.99 can be rounded to 5.

So a reasonable domain would be 0 ≤ x < 5

PART B)

f(0) = 10(1.02)^0

f(0) = 10(1)

f(0) = 10

The y-intercept represents the height of the plant when they began the experiment.

Step-by-step explanation:

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FromTheMoon [43]

Answer:

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Step-by-step explanation:

The inscribed angle ABC is half the measure of the intercepted arc AC

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5 0
3 years ago
Let f and g be the functions defined by f(x) = 10^ (x+2 / 3) and g(x) = log (x3 / 100) for all positive real numbers,
Vaselesa [24]

Answer:

F(x) and g(x) are not inverse functions.

Step-by-step explanation:

In order to calculate the inverse function of a function, we have to isolate X and after that, we change the variables.

As our function f(x) is a exponentian function, we can apply logarithm with base 10 (log) in both sides in order to isolate X. Remember that log10=1.

[tex]y=10^{(x+\frac{2}{3}) }\\\\log y=log 10^{(x+\frac{2}{3}) }\\log y = (x+\frac{2}{3}) . log10\\\frac{log Y}{log10} = (x+\frac{2}{3})\\\frac{log Y}{1} = (x+\frac{2}{3})\\log Y-\frac{2}{3}=x[/tex]

Now we change the variables.

F(x)=log x-\frac{2}{3}

F(x) and g(x) are not inverse functions.

4 0
2 years ago
Brianna solved a two-step equation, but she made a mistake along the way.
Makovka662 [10]

The appropriate choice is ...

... On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1.

_____

Had Brianna simplified her effort properly on line 4, she would have

... -0.1 +0.1x = -1.4

putting her essentially back where she started—with a 2-step equation.

3 0
3 years ago
Read 2 more answers
which inequality represents the following situation 3/5 times 5 less than a number is no more than 27
andrey2020 [161]

The answer is \frac{3}{5}(x-5) \leq 27


Let's build the expression piece by piece, translating sentences into formulas:


"3/5 times..." \to \frac{3}{5} \times \ldots


"5 less than a number..." \to x-5 \ldots


So, the first block becomes


"3/5 times 5 less than a number..." \to \frac{3}{5}(x-5) \ldots


"...is no more than 27" \ldots \leq 27


So, putting the pieces together, you have the answer



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3 years ago
What is the mean of this data set? 12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18 0 13.50 O 14.00 O 14.75 O 15.75​
ra1l [238]
The numbers seem to be going up and down but definitely not by a pattern
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2 years ago
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