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3 years ago

What does biodiversity indicate about an ecosystem?

Mathematics

1 answer:

faust18 [17]3 years ago

8 0

answer: Biodiversity is a measurement of how many different types of organisms are found in an ecosystem

Step-by-step explanation:

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I'm trying to find the value that completes the square

Mrac [35]

1) Move the non-x term to the right
x^2 +6x = -c

2) Divide the equation by the coefficient of x^2
(You don't have to because it is one).

3) Get the "x" coefficient, divide it by 2, square it then add it to both sides:
6 divided by 2 = 3
3^2 = 9

x^2 +6x +9 = -c +9
Take the square root of both sides
(x +3) = sq root (9 -c)
x = -3 + sq root (9 -c)

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4 years ago

How do you work out y+y in algebra

goldenfox [79]

Y+y = 2y there is no other solution.

8 0

3 years ago

Read 2 more answers

The function m=30-3r represents the amount m (in dollars) of money you have after renting r video games.

san4es73 [151]

The domain of the equation are all the possible values of the independent variables that would make the equation reasonable, possible or true. In this item, the independent variable is r. This could take a value of 0 up to the point when m is equal to zero.
m = 30 - 3r = 0
r = 10

The domain is therefore [0, 10].

The range is the value of the dependent variable which would be from 0 to the point when no video game is played. This is, [0, 30].

The function is discrete because r and m cannot take every value in the number line.

5 0

4 years ago

A toy rocket launched straight up from the ground with an initial velocity of 80 ft/s returns to the ground after 5 s. The heigh

elena-14-01-66 [18.8K]

The height of the rocket is modeled by the function:

$f(t)=-16 t^{2}+80t$

If we observe this equation, we see that the function is quadratic. The shape of the quadratic function is parabolic and the maximum or minimum value of a parabola always lies at its vertex. In the given function, since the co-efficient of leading term (t²) is negative, so this parabola will have a maximum value at its vertex.

The vertex of parabola is given by:

$( \frac{-b}{2a}, f( \frac{-b}{2a}))$

b is the coefficient of t term. So b = 80
a is the coefficient of squared term. So a= - 16

So,

$\frac{-b}{2a}= \frac{-80}{2(-16)}= \frac{5}{2}=2.5$

This means at 2.5 sec the height of rocket will be maximum. The maximum height will be:

$f(2.5)=-16 (2.5)^{2}+80(2.5)=100$

Therefore, the maximum height of the rocket will be 100 feet.

5 0

3 years ago

Read 2 more answers

If f varies jointly as q^2 and h, and f=96 when q=4 and h=3, find q when f=48 and h=6.

babunello [35]

If f varies jointly as q^2 and h, and f=96 when q=4 and h=3 then the value of q when f = 48 and h = 6 is 2

<u>Solution:</u>

Given that, f varies jointly as q^2 and h

$\begin{array}{l}{\text { Then, } f \alpha q^{2} \times h} \\ {\rightarrow f=k \times q^{2} \times h \text { where } k \text { is proportionality constant. }}\end{array}$

And f=96 when q=4 and h=3

Now substitute f, q, h values in above formula

$\begin{array}{l}{\rightarrow 96=\mathrm{k} \times 4^{2} \times 3} \\\\ {\rightarrow 32=\mathrm{k} \times 16} \\\\ {\rightarrow \mathrm{k}=2}\end{array}$

$\text { Then, formula is } f=2 \times q^{2} \times h$

We have to find q when f=48 and h=6

$\begin{array}{l}{\text { So, } 48=2 \times q^{2} \times 6} \\\\ {\rightarrow 48=q^{2} \times 12} \\\\ {\rightarrow q^{2}=4} \\\\ {\rightarrow q=2}\end{array}$

Hence, the value of q is 2

6 0

3 years ago