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3 years ago

Please help me !!!!!!!!!!!!!

Mathematics

1 answer:

professor190 [17]3 years ago

6 0

Answer:

14,700 butterflies

Step-by-step explanation:

Given the following data;

Time, x = 7 years

f(x) = 2,000(1.05)x

To find the population;

A population can be defined as the total number of living organisms living together in a particular place and sharing certain characteristics in common.

Substituting into the equation, we have;

f(7) = 2,000(1.05) * 7

f(7) = 2,100 * 7

f(7) = 14,700 butterflies

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Answer:

Displacement versus time is velocity

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3 years ago

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A ball is thrown vertically upward. After seconds, its height (in feet) is given by the function 56t - 16t^2 . What is the maxim

mr Goodwill [35]

Answer:

Therefore the maximum height that the reach is 49 feet after 1.75 seconds.

Step-by-step explanation:

Given that,

A ball is thrown vertically upward. After t seconds its height is given by the function

$h=56t-16 t^2$

where h is height in feet.

Maximum value:

Given function f(x)= at²+bt+c.

Find the value $-\frac{b}{2a}$
Putting $x= -\frac{b}{2a}$ in the given function.
The maximum value of the given function is $f(-\frac{b}{2a})$ .

Here a= -16 , b=56 and c=0

The ball attains its maximum height when $t=-\frac{56}{2.(-16)}=1.75$ s.

Putting the value of t in the given function

$h=(56\times 1.75)-16(1.75)^2$

=49 feet

Therefore the maximum height that the reach is 49 feet after 1.75 seconds.

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3 years ago

A hose fills a hot tub at a rate of 4.74 gallons per minute. How many hours will it take to fill a 294-gallon hot tub?

saveliy_v [14]

So the hose can do 4.74 gallons in 1 minute, how many minutes will it take for 294 gallons?

$\bf \begin{array}{ccll}
gallons&minutes\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
4.74&1\\
294&m
\end{array}\implies \cfrac{4.74}{294}=\cfrac{1}{m}\implies m=\cfrac{294\cdot 1}{4.74}
\\\\\\
m\approx 62.0253164556962$

and since there are 60 minutes in 1 hour, how many hours is that?

$\bf \begin{array}{ccll}
hours&minutes\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1&60\\
h&62.0253164556962
\end{array}\implies \cfrac{1}{h}=\cfrac{60}{62.0253164556962}
\\\\\\
\cfrac{1\cdot 62.0253164556962}{60}\approx h$

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3 years ago