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shtirl [24]
3 years ago
7

Talulah is an ecologist who studies the change in the penguin population of Antarctica over time. She

Mathematics
1 answer:
blondinia [14]3 years ago
8 0

Answer:

P(t)  =  27000 - 4*t

Step-by-step explanation:

Over a period of time, if we know the  population at certain time,  and the rate of change of the population, we can express the function describing such population by means of these two parameters  

Then:

P(t)  = P₀ + 4*t

In our case

P(t)  =  27000 - 4*t

Sign minus is for decreasing population t is in months, 4 is the rate of change and finally 27000 was population the first time Talulah counted the population

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Which ordered pair in the form (x, y) is a solution of this equation?
laiz [17]

Answer:

Substitute the x and y values from the ordered pairs into the equation, one by one, until both sides of the equation are equal.

Step-by-step explanation:

A. (-2,-3)

3 * (-2) - 4 * (-3) = 21

-6 + 12 = 21

6 = 21 <u>not equal</u>

B. (0,7)

3 * 0 - 4 * 7 = 21

0 - 28 = 21

- 28 = 21 <u>n</u><u>o</u><u>t</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>l</u>

C. (7,0)

3 * 7 - 4 * 0 = 21

21 - 0 = 21

21 = 21 <u>equal</u>

6 0
2 years ago
PLEASE HELP ME OUT!!!
DedPeter [7]

Answer:

20/3  or  6.67  or  6 \frac{2}{3}  (any of these are correct)

Step-by-step explanation:

Volume of triangular pyramid formula is V = 1/3 * base area * height

V = 1/3 * 5 * 4 = 20/3

20/3  or  6.67  or  6 \frac{2}{3}

4 0
2 years ago
Please solve quickly ​
solong [7]

Answer:

24.9π

Step-by-step explanation:

Curcle Area=πR^2

A= πR^2 × 140°/360°

A= π×8^2 × 0.389 =~ 78.15

4 0
2 years ago
Which expressions are equivalent to the one below. Check all that apply. 16^x
madam [21]

A.\ 4^x\cdot4^x=4^{x+x}=4^{2x}\qquad\text{used}\ a^n\cdot a^m=a^{n+m}\\\\B.\ 4^{2x}=(4^2)^x=16^x\qquad\text{used}\ (a^n)^m=a^{nm}\\\\C.\ 4^2\cdot4^x=4^{2+x}\\\\D.\ (4\cdot4)^x=16^x\\\\E.\ 4\cdot4^{2x}=4^{1+2x}\\\\F.\ 4\cdot4^x=4^{1+x}\\\\Answer:\ \boxed{B.\ and\ D.}

3 0
3 years ago
5/6 divided by 3 in simplest form. please help. quick.
mezya [45]

The Answer is:

5/18

Step-by-step explanation:

5/6 ÷ 3 = 5/18

8 0
3 years ago
Read 2 more answers
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