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3 years ago

a plants height is 1.6 times it age.write an equation for the situation.Tell what each variable you use to represents

Mathematics

1 answer:

Vilka [71]3 years ago

4 0

The answer would be as follows:

h=1.6a

with "h" representing the plant's height and "a" representing the plant's age.

(Same formula written out)

The plant's height=1.6(the plant's age

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PLEASE PLEASE HELP AND I NEED YOU TO DO IT FAST BECAUSE I HAVE TO GO SOON

Greeley [361]

The height is modelled by the equation:

$h(t)=-0.2t^2+2t$

Therefore

$\begin{gathered} \text{ } \\ \frac{\text{ dh}}{\text{ dt}}=-0.4t+2 \end{gathered}$

At the maximum height dh/dt = 0:

Hence,

$\begin{gathered} -0.4t+2=0 \\ -0.4t=-2 \\ \text{ Dividing both sides by -0.4} \end{gathered}$ $\begin{gathered} \frac{-0.4t}{-0.4}=\frac{-2}{-0.4} \\ t=5 \end{gathered}$

Hence, the ball gets to the maximum height after 5s.

The maximum height is given by h(5):

$h(5)=-0.2(5)^2+2(5)=5$

Therefore, the maximum height is 5 ft.

When the ball reaches the ground h(t) = 0:

$\begin{gathered} -0.2t^2+2t=0 \\ \text{ Dividing both sides by -0.2, we have:} \\ t^2-10t=0 \\ Factorising\text{ the left hand side, we have} \\ t(t-10)=0 \\ \text{ Therefore,} \\ t=0,\text{ t=10} \end{gathered}$

The ball reaches the ground in 10s

8 0

1 year ago

Stephen does not like yogurt very much, but he loves

Mrac [35]

5+2+3=10 total snacks
5/10 or 1/2 are yogurts so 1/2 is the chance everyday
1/2×1/2×1/2=1/8 this is the chance Stephen gets yogurt 3 consecutive days so 1-1/8=
7/8 chance he doesn't get yogurt three consecutive days

8 0

4 years ago

What is the r value of the following geometric sequence?<br> 2, 6, 18, 54,...

irga5000 [103]

162 is the next in the sequence. It's a sequential value. Just multiply the previous number by 3, and you have you answer.

5 0

3 years ago

Using suitable algebraic rule, calculate 105^2 -5^2

Harman [31]

Answer:

$\huge\boxed{\sf 11000}$

Step-by-step explanation:

$\sf 105^2 - 5^2\\\\Using\ Formula \ a^2 = b^2 = (a+b)(a-b)\\\\Here\ a = 105 \ and \ b = 5\\\\(105+5)(105-5)\\\\(110)(100)\\\\11000$

Hope this helped!

<h2>~AnonymousHelper1807</h2>

5 0

3 years ago

Read 2 more answers

PLEASE HELLLLLLLPPPPPP!!!!!

MariettaO [177]

Answer:

Step-by-step explanation:

First, let's define the types of numbers.

Real numbers: a value that represents a quantity along a continuous line

ex: 1, 5, -6, 0.125, 45.5258,

Integer: Zero, any positive or negative number

ex: -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5....

Whole numbers: a number without fractions [not negative]

ex: 0, 1, 2, 3, 4, 5.....

Rational numbers: any number that can be expressed as the quotient or fraction

ex: 1, 2, 3, 4, 5

Irrational numbers: any number that can't be expressed at the quotient or fraction

ex: pi, [3.14.... (never ending decimal)] square root of 2....

Based on this information, the false statment would be A. I believe, because

pi is a real number and it is an irrational number.

I hope this helps!!! :)

8 0

3 years ago