Ask question

Ask question

All categories

4 years ago

12

A certain species of tree grows an average of 4.2 cm per week. write an equation for the sequence that represents the weekly hei

ght of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall.

1 answer:

AURORKA [14]4 years ago

6 0

Average growth rate = 4.2 cm/week.

So, common difference d = 4.2

<span>The height of the tree a0 = 200 centimeters.</span>

The height of the tree after end of the first week a₁ = 200 + 4.2 = 200 + 4.2(1)

The height of the tree after end of the second week a₂ = 200 + 4.2 + 4.2 = 200 + 4.2(2).

<span>The height of the tree after end of the third week a3 = 200 + 4.2 + 4.2 + 4.2 = 200 + 4.2(3).</span>

<span>The height of the tree after the end of the nth week an = 200 + 4.2(n).</span>

<span>The equation is <span>a_n</span><span></span><span> = 200 + 4.2(n)</span>.</span>

You might be interested in

A backpacking tent in the shape of a triangular prism has sides that are 6 ft and a length of 7 ft. What is the volume of the te

Zanzabum

<span>the volume of the tent to the nearest whole number is 109.</span>

3 0

3 years ago

Please help me . Need it desperately for a math test

attashe74 [19]

Answer:

Step-by-step explanation:

Given

y = 3x + 2

Comparing with y = mx + c

slope (m) = 3

y-intercept (c) = 2

7 0

3 years ago

Read 2 more answers

tarik starts a morning walk at 7:00 am. his distance, in miles, to the nearby grocery store after x hours is f(x)

Grace [21]

Total distance walked by Tarik is 0.75 miles according to the given equation.

What is equation?

In arithmetic, an equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.

Main body:

Given that

The expression that represents the Tarik's distance is

=> f(x) = 3∣x−0.5∣

And also given that at 7.15 am he is some distance away from the store

Let Tarik is 'a' miles away from the store at 7.15 am

The time taken to walk 'a' miles = 7.15 - 7.00 = 15 minutes

As we know 60 minutes = 1 hr

=> 15 minutes = 15/60 = 0.25 hrs

The given expression to find the Distance is

f(x) = 3 ∣x − 0.5∣ where x is number of hours

At x = 0.25

f(0.25) = 3 |0.25 - 0.5|

= 3 |- 0.25|

= 0.75 miles

Therefore,Tarik is 0.75 miles away from the store.

To know more about equation , visit:

brainly.com/question/22688504

#SPJ4

8 0

2 years ago

Evaluate the function for the given values to determine if the value is a root. p(−2) = p(2) = The value is a root of p(x).

bija089 [108]

<em>Note: Since you missed to mention the the expression of the function </em> $p(x)$ <em> . After a little research, I was able to find the complete question. So, I am assuming the expression as </em> $p(x)=x^4-9x^2-4x+12$ <em> and will solve the question based on this assumption expression of </em> $p(x)$ <em>, which anyways would solve your query.</em>

Answer:

As

$p\left(-2\right)=0$

Therefore, $x=-2$ is a root of the polynomial <em> </em> $p(x)=x^4-9x^2-4x+12$

As

$p\left(2\right)=-16$

Therefore, $x=2$ is not a root of the polynomial <em> </em> $p(x)=x^4-9x^2-4x+12$

Step-by-step explanation:

As we know that for any polynomial let say<em> </em> $p(x)$ <em>, </em> $c$ is the root of the polynomial if $p(c)=0$ .

In order to find which of the given values will be a root of the polynomial, $p(x)=x^4-9x^2-4x+12$ <em>, </em>we must have to evaluate <em> </em> $p(x)$ <em> </em>for each of these values to determine if the output of the function gets zero.

So,

Solving for $p\left(-2\right)$

<em> </em> $p(x)=x^4-9x^2-4x+12$

$p\left(-2\right)=\left(-2\right)^4-9\left(-2\right)^2-4\left(-2\right)+12$

$\mathrm{Simplify\:}\left(-2\right)^4-9\left(-2\right)^2-4\left(-2\right)+12:\quad 0$

$\left(-2\right)^4-9\left(-2\right)^2-4\left(-2\right)+12$

$\mathrm{Apply\:rule}\:-\left(-a\right)=a$

$=\left(-2\right)^4-9\left(-2\right)^2+4\cdot \:2+12$

$\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}$

$=2^4-2^2\cdot \:9+8+12$

$=2^4+20-2^2\cdot \:9$

$=16+20-36$

$=0$

Thus,

$p\left(-2\right)=0$

Therefore, $x=-2$ is a root of the polynomial <em> </em> $p(x)=x^4-9x^2-4x+12$ <em>.</em>

Now, solving for $p\left(2\right)$

<em> </em> $p(x)=x^4-9x^2-4x+12$

$p\left(2\right)=\left(2\right)^4-9\left(2\right)^2-4\left(2\right)+12$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$p\left(2\right)=2^4-9\cdot \:2^2-4\cdot \:2+12$

$p\left(2\right)=2^4-2^2\cdot \:9-8+12$

$p\left(2\right)=2^4+4-2^2\cdot \:9$

$p\left(2\right)=16+4-36$

$p\left(2\right)=-16$

Thus,

$p\left(2\right)=-16$

Therefore, $x=2$ is not a root of the polynomial <em> </em> $p(x)=x^4-9x^2-4x+12$ <em>.</em>

Keywords: polynomial, root

Learn more about polynomial and root from brainly.com/question/8777476

#learnwithBrainly

7 0

3 years ago

Read 2 more answers

Every week, Bob plays the guitar for three hours, and his grade on each psych test is 75 percent. Last week, after playing fo

dsp73

Answer:

20% psyche test scores

Step-by-step explanation:

Given that every week, Bob plays the guitar for three hours, and his grade on each psych test is 75 percent.

Last week, after playing for three hours, Bob considered playing for an additional hour.

He decided to play for another hour and cut his study time by one hour, but last week his psych grade was 55 percent.

Bob's opportunity cost of the fourth hour of playing the guitar

=His cut in scores in psyche test

=20%

4 0

3 years ago