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Alexus [3.1K]
4 years ago
9

The population of white rhinos in 2001 was 11,670. The population is declining by 9% each year. What is the population expected

to be in the year 2021?
Mathematics
1 answer:
aksik [14]4 years ago
6 0

You see I need to know also the reproduction rate as well to equalize it. If 9% of the population declines each year from 2001 to 2021, around 21,006 would die by 2021. Which is 180% more than the population. If the reproduction rate isn't high enough to beat the declination rates, they'd be extinct by then.

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If you were in a hot air balloon 500 m above the ground, at what angle of depression would you look at a point on the ground 800
liubo4ka [24]
Set up trig ratio using tangent.
Tan theta = opp/adj
Tan theta = 500/800
Tan^-1 (500/800) = 32 degrees
3 0
3 years ago
Please help me out!!!!!
notka56 [123]

Answer: D

Step-by-step explanation:

all possible rational zeros are the factors of the last term divided by the coefficient of the first term

so it's (±1, ±3, ±9) / (±1, ±2)

(±1, ±3, ±9) / ±1 = ±1, ±3, ±9

(±1, ±3, ±9) / ±2 = ±1/2, ±3/2, ±9/2

--> ±1, ±3, ±9, ±1/2, ±3/2, ±9/2

8 0
3 years ago
6 points
kodGreya [7K]

Answer:

y=-2\,(x+3)^2-3

Step-by-step explanation:

Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex (x_v,y_v) in the expression:

y-y_v=a\,(x-x_v)^2\\y=a\,(x-x_v)^2+y_v

we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter a:

y=a\,(x-x_v)^2+y_v\\y=a\,(x+3)^2+(-3)\\y=a\,(x+3)^2-3\\-5=a\,(-2+3)^2-3\\-5=a\,(1)-3\\a=-5+3\\a=-2

So, now we can write the full expression for the parabola:

y=a\,(x+3)^2-3\\y=-2\,(x+3)^2-3

8 0
3 years ago
2/3 to the fourth power
Stella [2.4K]
The correct answer is 16/81. Hope this helps.
5 0
4 years ago
Read 2 more answers
A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following
kiruha [24]

Answer:

<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

1,2,4,8,16,32,.....

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

S_n=\dfrac{a(r^n-1)}{r-1}

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}

\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}

\Rightarrow 90\times 10^{12}\le 2^n-1

\Rightarrow 2^n\ge 90\times 10^{12}+1

\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)

\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)

\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}

\Rightarrow n \ge 46.4

\Rightarrow n\approx 47


8 0
3 years ago
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