A certain species of tree grows an average of 3.8 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 5 meters tall.

Answers

Answer 1

Answer: The answer is f(x) = 500 + 3.8x

The number of weeks is x. So, weekly, the tree grows 3.8x.
If the measurements of the growth begin when the tree started to grow, the equation would be: f(x) = 3.8x.
But, the measurements begin when the tree is 5 m tall. Since 1 m is 100 cm, this means that 5 m is 500 cm. Thus, the equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 5 meters tall is:
f(x) = 500 + 3.8x

Answer 2

Answer:

Answer:

$n=500+8(n-1)$

DO NOT FORGET that the tree is already 5 meters tall on the FIRST WEEK, not the 0th week. So, f(x)=500+3.8x is incorrect.

(For example, on the second week the tree should be 503.8 meters tall. But if you plug 2 in f(x)=500+3.8x, you would get 507.6, which is the height of the tree on the third week.)

Related Questions

A spinner is separated into equal sections numbered 1 through 8. The spinner is spun, and 2 coins are flipped. Using the fundamental counting principle, how many total possible outcomes are there?
Consider the following system of equations.y = 6x - 6y - 6x = 5What can you conclude about the system of equations?
Help please 2y-5x=-1, x=2y+5
15% of what number equals 12?
William buys a gallon of milk from the store he wants to pour milk equally into 12 glasses what is the reason estimate for the number of fluid ounces poured into each glass

Which of these is a simplified form of the equation 9p + 3 = − p + 7 + 2p + 3p?5p = 4

15p = 10

9 = 4

12 = 13

Answers

Answer:

Option (a) is correct.

5p = 4

Step-by-step explanation:

Given : equation 9p + 3 = − p + 7 + 2p + 3p

We have to simplify the given equation 9p + 3 = − p + 7 + 2p + 3p.

Consider the given equation 9p + 3 = − p + 7 + 2p + 3p

Like terms are terms having same variable with same power.

Adding like terms, we get,

9p + 3 = 7 + 4p

Subtract 4p both isde, we have,

9p - 4p + 3 = 7 + 4p -4p

Simplify, we get,

5p + 3 = 7

Subtratc 3 both isde, we have,

5p = 4

Thus, option (a) is correct.

Move all the p's to one side and the number to the other side: 9p + p - 2p - 3p = 7 - 3 5p = 4

Waht is the value of ((2/3)^0)^-3

Answers

Answer:

$\left(\left((2)/(3)\right)^0\right)^(-3)=1$

Step-by-step explanation:

$\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^(bc),\:\quad \:a\ge 0\n\left(\left((2)/(3)\right)^0\right)^(-3)=\left((2)/(3)\right)^(0\cdot \left(-3\right))\n=\left((2)/(3)\right)^0\n=1$

Red

Consider the logarithmic equation f(x) = ln (x + 2) – 1. Round all values to the tenths place.(a) Determine any x- and y-intercepts.
(b) Determine the domain and the equation of the vertical asymptote.
(c) Make a table of values to find three other points on the graph.
(d) Graph the function. Label the three points you found in Part (c).

Answers

Hello,

A) x=0==> f(0)=ln(2)-1=-0,30685281944005469058276787854182
y=0==>ln(x+2)-1=0
==>ln(x+2)=1
==>e^ln(x+2)=e^0
==>x+2=0
==>x=-2

B)
dom f(x)={x∈IR | x>2}
x=-2 is the vertical asymptote

c)
A=(-1,-1)
B=(0,ln(2)-1=-0,30685281944005469058276787854182 )
C=(1,ln(3)-1=0,09861228866810969139524523692253)
D=(2,ln(4)-1)=0,38629436111989061883446424291635)

d) see picture

7X+10y=4 in slop intercept form

Answers

Slope-Intercept form is the equation of a line where it is solved for y. So, to put this into Slope-Intercept form you need to solve it for y.

7x + 10y = 4 Subtract 7x from both sides
10y = -7x + 4 Divide both sides by 10
y = - $(7)/(10)$ x + $(4)/(10)$ Simplify if you can
y = - $(7)/(10)x$ + $(2)/(5)$

Determine the slope of each equation below:
y = 3x -8
y-4 = [(x + 5)
12x + 2y = 18

Answers

Answer:

1 = 3

2 = 1 ( I assumed the equation is y-4 = [(x+5)]

3 = -6

Step-by-step explanation:

What is the means-to-MAD ratio of the two data sets, expressed as a decimal? Data set Mean Mean absolute deviation (MAD) 1 10.3 1.6 2 12.7 1.5

Answers

Mean -to-MAD ratio is the division of the Mean by the Mean Absolute Deviaion (MAD). For the set 1, mean / MAD is 10.3 / 1. 6 = 6.4375; and for the set 2, Mean / MAD is: 12.7 / 1.5 = 8.467. This is a measure of disperssion of a set of values. MAD is calculated as the sum of the absolute differences of the values and the mean.

Other Questions

To solve a problem, we often _________ the given information into algebraic expressions and equations.

Round each decimal number to the nearest integer

Imogen bought i number of invitations to send out for her party. After she sent out 19, she was left with 11. What is thevalue of 1?11оооо19о 30

Janice works at a cell phone company. She wants to make a presentation to her team about the features of a new phone. She makes a scale drawing of the phone using a scale of 1 inch to 0.5 centimeter. The length of the scaled drawing is 28 inches, and its width is 15 inches. What are the actual dimensions of the phone?The length is 14 inches, and the width is 7.5 inches. The length is 56 inches, and the width is 30 inches. The length is 56 centimeters, and the width is 30 centimeters. The length is 14 centimeters, and the width is 7.5 centimeters. The length is 12 centimeters, and the width is 5.5 centimeters.