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2 years ago

10

( Which of the following best describes an ecosystem in a neighborhood garden?

1 answer:

scZoUnD [109]2 years ago

4 0

What are the answers for the nonshelaunt question

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What is the volume of a rectangular prism with side lengths 15.8m, 24.5m, and 4.2m?

vampirchik [111]

Answer: A = 1,625.82 m³

Step-by-step explanation:

The volume of a rectangular prism can be found with;

A = L * W * H

A = L * W * H

A = (15.8m) * (24.5m) * (4.2m)

A = 1,625.82 m³

<em>Read more about </em><em>finding the volume of a rectangular prism</em><em> here:</em>

<em>brainly.com/question/28006486</em>

3 0

1 year ago

Read 2 more answers

Solving linear system, substitution<br><br> 20x-30y=-50<br> x+2y=1<br><br> HELP PLEASE

hjlf

20x - 30y = -50 ⇒ 20x - 30y = -50
    x +   2y = -1   ⇒ <u>20x + 40y = -20</u>
   <u>-70y</u> = <u>-30</u>
      -70    -70
      y = ³/₇
       20x - 30(³/₇) = -50
   20x - 12⁶/₇ = -50
   <u> + 12⁶/₇ + 12⁶/₇
</u>     <u>20x</u> = <u>47¹/₇
</u>    20<u />    20<u>
</u> x = 2⁷/₂₀
      (x, y) = (2⁷/₂₀, ³/₇)

6 0

3 years ago

I have to find the value of x

Debora [2.8K]

Answer:

x = 10

Step-by-step explanation:

To find x, write a proportion between the side lengths for the similar triangles in the figure.

$\frac{x+5}{x}=\frac{18}{12}$

To solve, cross multiply and isolate x.

(x+5)(12) = 18(x)

12x + 60 = 18x

60 = 6x

10 = x

4 0

2 years ago

Find the derivative of f(x) = 12x^2 + 8x at x = 9.

zvonat [6]

Answer:

224

Step-by-step explanation:

We will need the following rules for derivative:

$(f+g)'=f'+g'$ Sum rule.

$(cf)'=cf'$ Constant multiple rule.

$(x^n)'=nx^{n-1}$ Power rule.

$(x)'=1$ Slope of y=x is 1.

$f(x)=12x^2+8x$

$f'(x)=(12x^2+8x)'$

$f'(x)=(12x^2)'+(8x)'$ by sum rule.

$f'(x)=12(x^2)+8(x)'$ by constant multiple rule.

$f'(x)=12(2x)+8(1)$ by power rule.

$f'(x)=24x+8$

Now we need to find the derivative function evaluated at x=9.

$f'(9)=24(9)+8$

$f'(9)=216+8$

$f'(9)=224$

In case you wanted to use the formal definition of derivative:

$f'(x)=\lim_{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}$

Or the formal definition evaluated at x=a:

$f'(a)=\lim_{h \rightarrow 0} \frac{f(a+h)-f(a)}{h}$

Let's use that a=9.

$f'(9)=\lim_{h \rightarrow 0} \frac{f(9+h)-f(9)}{h}$

We need to find f(9+h) and f(9):

$f(9+h)=12(9+h)^2+8(9+h)$

$f(9+h)=12(9+h)(9+h)+72+8h$

$f(9+h)=12(81+18h+h^2)+72+8h$

(used foil or the formula (x+a)(x+a)=x^2+2ax+a^2)

$f(9+h)=972+216h+12h^2+72+8h$

Combine like terms:

$f(9+h)=1044+224h+12h^2$

$f(9)=12(9)^2+8(9)$

$f(9)=12(81)+72$

$f(9)=972+72$

$f(9)=1044$

Ok now back to our definition:

$f'(9)=\lim_{h \rightarrow 0} \frac{f(9+h)-f(9)}{h}$

$f'(9)=\lim_{h \rightarrow 0} \frac{1044+224h+12h^2-1044}{h}$

Simplify by doing 1044-1044:

$f'(9)=\lim_{h \rightarrow 0} \frac{224h+12h^2}{h}$

Each term has a factor of h so divide top and bottom by h:

$f'(9)=\lim_{h \rightarrow 0} \frac{224+12h}{1}$

$f'(9)=\lim_{h \rightarrow 0}(224+12h)$

$f'(9)=224+12(0)$

$f'(9)=224+0$

$f'(9)=224$

8 0

3 years ago

What is the greatest common factor of 16, 24,and 40?

horrorfan [7]

The GCF of 16,24, and 40 is gonna be 8

5 0

3 years ago

Read 2 more answers