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2 years ago

What is the area of the triangular flag below?

Mathematics

1 answer:

alexandr1967 [171]2 years ago

4 0

Answer:

Here is your answer

Step-by-step explanation:

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Does a proportional relationship have a constant rate of change?

Ghella [55]

Yes the proportial relationship all increase by the same number so that would be your rate of change

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3 years ago

Write 600 as the product of prime factors. Give your answer in index form.

MAXImum [283]

Answer:

2^3 x 3 x 5^2

Step-by-step explanation:

600/2

300/2

150/2

75/3

25/5

5/5

6 0

3 years ago

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Let f be a differentiable function on (-0o,00) such that f(-x)= f(x) for all x in (, o). Compute the value of f'(0). Justify you

snow_lady [41]

Answer:

$f'(0)=0$

Step-by-step explanation:

Applying the chain rule

$\frac{d}{dx} (f(-x))=-\frac{df}{dx}$

Then it becomes

$\frac{df}{dx} =-\frac{df}{dx}$

In x=0

$\frac{d[tex]f'(0)=-f'(0)\\f'(0)+f'(0)=0\\2f'(0)=0\\$ f}{dx} =-\frac{df}{dx}[/tex]

Then

$f'(0)=0$

8 0

3 years ago

12 is what percent of 10

Delicious77 [7]

Your answer is 1.2.

I hope I helped you! :)

5 0

3 years ago

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At the beginning of an environmental study, a forest covered an area of 1500 km2 . Since then, this area has decreased by 9.8% e

fredd [130]

Answer:

$A(t)=(0.902)^t \cdot 1500$ $[km^2]$

Step-by-step explanation:

In this problem, the initial area of the forest at time t = 0 is

$A_0 = 1500 km^2$

After every year, the area of the forest decreases by 9.8%: this means that the area of the forest every year is (100%-9.8%=90.2%) of the area of the previous year.

So for instance, after 1 year, the area is

$A_1 = A_0 \cdot \frac{90.2}{100}=0.902 A_0$

After 2 years,

$A_2=0.902 A_1 = 0.902(0.902A_0)=(0.902)^2 A_0$

And so on. So, after t years, the area of the forest will be

$A(t)=(0.902)^t A_0$

And by substituting the value of A0, we can find an explicit expression:

$A(t)=(0.902)^t \cdot 1500$ $[km^2]$

8 0

3 years ago