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Studentka2010 [4]

3 years ago

15

Answer 2 and 4 please

1 answer:

ycow [4]3 years ago

6 0

The answer to question 2 is

<span>x + <span>15/4 </span></span>= <span>12
</span>
<span><span><span>x + <span>15/4 </span></span>− <span>15/4 </span></span>= <span>12 − <span>15/4</span></span></span><span>
x = <span><span>33/4
</span>
so your answer is: x = 8 1/4</span></span>

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3 years ago

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The center is (-1, -2) and the radius of the circle is 5.

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The circle equation formula refers to the equation of a circle which represents the center-radius form of the circle.

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Ryan spills some soda and neglects to clean it up. When leaving for spring break, Ryan notices some ants on the sticky mess, but

Charra [1.4K]

Answer:

Ryan saw 30 ants when he left for spring break.

Step-by-step explanation:

The equation for the number of ants has the following format:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t days, P(0) is the initial population and r is the growth rate.

Upon returning 17 days later, Ryan counts 3960

This means that $P(17) = 3960$ . So

$P(t) = P(0)e^{rt}$

$3960 = P(0)e^{17r}$

The next day there are 5280 ants.

This means that $P(18) = 5280$

So

$P(t) = P(0)e^{rt}$

$5280 = P(0)e^{18r}$

From above, we have that

$P(0) = \frac{3960}{e^{17r}}$

Replacing

$5280 = P(0)e^{18r}$

$5280 = \frac{3960e^{18r}}{e^{17r}}$

$3960e^{r} = 5280$

$e^{r} = \frac{5280}{3960}$

$\ln{e^{r}} = \ln{\frac{5280}{3960}}$

$r = \ln{\frac{5280}{3960}}$

$r = 0.2877$

Find the number of ants that Ryan saw when he left for spring break

$P(0) = \frac{3960}{e^{17r}}$

$P(0) = \frac{3960}{e^{17*0.2877}}$

$P(0) = 30$

Ryan saw 30 ants when he left for spring break.

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4 years ago