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3 years ago

Suppose the population of the world now is 4 billion and its doubling period is

Mathematics

1 answer:

OleMash [197]3 years ago

8 0

Answer:

4096b after 350 years, 4194304b after 700 years, and 4294967296b after 1050 years. 0.000433065 sq ft. per person after 1050 years making earth uninhabitable.

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A pair of bottlenose dolphins at an aquarium are fed 45 pounds of fish each day. The aquarium recently added another dolphin. Ho

Arte-miy333 [17]

Answer:

67.5 pound of fish are needed to feed 3 dolphins

good luck buddy

8 0

3 years ago

A ball is thrown into the air. The path it takes is modeled by the equation: -3t+24t = h, where t is the time in seconds and h i

astra-53 [7]

Given:

The given equation is:

$-3t^2+24t=h$

Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.

To find:

The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.

Solution:

We have,

$-3t^2+24t=h$

The height of the ball is at least 36 feet above the ground. It means $h\geq 36$ .

$-3t^2+24t\geq 36$

$-3t^2+24t-36\geq 0$

$-3(t^2-8t+12)\geq 0$

Splitting the middle term, we get

$-3(t^2-6t-2t+12)\geq 0$

$-3(t(t-6)-2(t-6))\geq 0$

$-3(t-2)(t-6)\geq 0$

The critical points are:

$-3(t-2)(t-6)=0$

$t=2,6$

These two points divide the number line in 3 intervals $(-\infty,2),(2,6),(6,\infty)$ .

Intervals Check point $-3(t-2)(t-6)\geq 0$ Result

$(-\infty,2)$ 0 $(-)(-)(-)=(-)$ False

$(2,6)$ 4 $(-)(+)(-)=+>0$ True

$(6,\infty)$ 8 $(-)(+)(+)=(-)$ False

The inequality is true for (2,6) and the sign of inequality is $\geq$ . So, the ball is above 36 feet between 2 to 6 seconds.

$6-2=4$

Therefore, the required inequality is $-3t^2+24t\geq 36$ and the ball is 36 feet above for 4 seconds.

3 0

3 years ago

I need help on how I would find the roots to these problems.( show steps please)

katen-ka-za [31]

You need to state the original function(s) to find the additional roots.

3 0

3 years ago

Michael pays his cell phone service provider $49.95 per month for 500 minutes. Any additional minutes used cost $0.15 each. In J

arsen [322]

y = total cost used.

x = additional minutes

y = $49.95 + $0.15x

$61.20 = $49.95 + $0.15x. Subtract the $49.95 from each side.

$11.25 = $0.15x. Divide each side by $0.15

75 = x.

Michael used 75 additional minutes.

8 0

3 years ago

For all real numbers b and c such that the product of

qwelly [4]

Answer:

E: b/3+3

Step by step:

3 C= b

C + 3 = b/3 + 3 (Adding 3 to both sides)

Answer: E: b/3 + 3

Hope this helps

3 0

3 years ago