1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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:

You might be interested in
Un paracaidista que pesa 70 N es lanzado de un avión. halla su masa​
77julia77 [94]

Answer:

<em>La masa del paracaidista es 7.14 Kg</em>

Step-by-step explanation:

<u>Peso y Masa</u>

La masa de un objeto es una medida de la cantidad de material que el objeto posee. Sus unidades más comunes son el Kg, gr, lb, Ton.

El peso de un objeto de masa m es la fuerza con la cual la Tierra atrae al objeto a través de la aceleración de gravedad g. Sus unidades son iguales a las de cualquier fuerza, es decir, Nw, Kgf, Dina. Su fórmula es:

P=m.g

Si tenemos el peso P=70 N, podemos calcular la masa, despejándola de la fórmula:

\displaystyle m=\frac{P}{g}

Sustituyendo los valores:

\displaystyle m=\frac{70}{9.8}=7.14\ Kg

La masa del paracaidista es 7.14 Kg

8 0
3 years ago
Which equation should be used to graph y=sec^-1(x) on a calculator ?
erastova [34]
Arcsecant or arcsec or sec⁻¹ is an inverse trigonometric function. And many calculators don't have a key for them because they can be calculated with basic trigonometric functions like so:

sec⁻¹(x)=cos⁻¹(1/x). 

So the correct answer is the fourth one: y=cos⁻¹(1/x).
4 0
3 years ago
Creative landscaping has 60 yards of fencing with which to enclose a rectangular flower garden. If the garden is X yards long, e
7nadin3 [17]

Answer:

\texttt{Area = Length x Width}\\\\\texttt{Area =}x\times (30-x)=30x-x^2\\\\\texttt{Area =}30x-x^2

<h3>Area, A(x) = 30x - x² , as a function of the length (x).</h3>

Step-by-step explanation:

Creative Landscaping has 60 yard of fencing with which to enclose a rectangular garden.

If the garden is X yards long, express the Gardens area as a function of length

Let x be the length of garden

So perimeter of rectangle = 60 yard

Perimeter = 2 * ( Length + width)

60 = 2 * ( x + width)

Width = 60/2 - x

Width= 30 - x

\texttt{Area = Length x Width}\\\\\texttt{Area =}x\times (30-x)=30x-x^2\\\\\texttt{Area =}30x-x^2

<h3>Area, A(x) = 30x - x² , as a function of the length (x).</h3>

3 0
3 years ago
What is the solution for the system of equations?
Lena [83]

Answer:

1, 3

Step-by-step explanation:

// Solve equation [2] for the variable  y  

  [2]    y = x - 2

// Plug this in for variable  y  in equation [1]

[1]    (x -2) + x = 4

  [1]    2x = 6

// Solve equation [1] for the variable  x  

[1]    2x = 6  

[1]    x = 3  

// By now we know this much :

y = x-2

x = 3

// Use the  x  value to solve for  y  

 y = (3)-2 = 1

5 0
2 years ago
What is the circumference of a circle whose radius is 20 feet? Leave answer in terms of π.
kondor19780726 [428]
The circumference of the circle is 40π. Hope it help!
7 0
3 years ago
Other questions:
  • How to graph the first derivative of this function
    9·1 answer
  • How do I remember measurements? From Pints to Quarts?
    11·2 answers
  • Please answer this simple question !!!
    12·1 answer
  • When cai traveled from New orleans,Louisiana to the Ozark mountains in Arkansas , the elevation changed from 7ft below sea level
    12·2 answers
  • HELPS ASAP PLZ
    13·1 answer
  • (b) If A(t) is the amount of the investment at time t for the case of continuous compounding, write a differential equation sati
    10·1 answer
  • The SI unit for measuring mass is the<br><br> Meter<br> Gram<br> Liter
    5·1 answer
  • Find the height of a parallelogram with a base 24 inches and the area of 432 square inches
    6·1 answer
  • A grocery clerk made this graph to relate the number of pounds of peaches and plums to the cost.
    12·2 answers
  • Write an equivalent expression in expanded form. 8(-x+1/4)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!