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3 years ago

6

A bacteria population doubles in size every five hours after five hours the sample contains 2000 bacteria which equal the best m

odels y the population size of the X hours

1 answer:

Maurinko [17]3 years ago

8 0

y=1000(x^2) is the answer :)

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Which of the following is the standard equation of the ellipse with vertices at (1,0) and (27,0) and an eccentricity of 5/13?

Dovator [93]

The equation of the elipse is given by:

$\frac{(x - 14)^2}{169} + \frac{y^2}{144} = 1$

The equation of an elipse of center $(x_0, y_0)$ is given by:

$\frac{(x - x_0)^2}{a^2} + \frac{(y - y_0)^2}{b^2} = 0$

Values a and b are found according to the <u>vertices and the eccentricity</u>.

It has vertices at (1,0) and (27,0), thus:

$x_0 = \frac{27 + 1}{2} = 14$

$y_0 = \frac{0 + 0}{2} = 0$

$a = \frac{27 - 1}{2} = 13$

$a^2 = 169$

It has eccentricity of $\frac{5}{13}$ , thus:

$\frac{5}{13} = \frac{c}{a}$

$\frac{5}{13} = \frac{c}{13}$

$c = 13$

Thus, b is given according to the following equation:

$c^2 = a^2 - b^2$

$b^2 = a^2 - c^2$

$b^2 = 169 - 25$

$b = \sqrt{144}$

$b = 12$

The equation of the elipse is:

$\frac{(x - 14)^2}{169} + \frac{y^2}{144} = 1$

A similar problem is given at brainly.com/question/21405803

3 0

3 years ago

A city bus goes 18miles in 30 minutes . HOW far does it go in 10 minutes?

hodyreva [135]

18 miles = 30 minutes
? miles = 10 minutes
cross multiply
? x 30 = 18 x 10 (180)
? = 180/30
? = 6
the city bus would cover 6 miles in 10 minutes.

3 0

3 years ago

Read 2 more answers

If 3x is one factor of 3x^2-9x, what is the other factor?

Rudik [331]

The answer is: " (x² − 3) " .
_________________________________
Explanation:
_________________________________

Given: 3x² <span>− 9x ; factor out a "3x" ;
_________________________________

</span>→ 3x (x² − 3) ;
_________________________________
The answer is: " (x² − 3) " .
_________________________________

7 0

3 years ago

What is the constant of variation for the quadratic variation? 0.1y = 3x2

svet-max [94.6K]

Answer:

The constant of variation for the given quadratic equation is, 30

Step-by-step explanation:

One of the form of a quadratic equation is written as:

$y = kx^2$ ....[1]

where k is the coefficient and for this case the constant of variation.

In order to obtain the answer for the given equation, we write the given equation to the form above.

$0.1y=3x^2$ or

$y=(\frac{3}{0.1})x^2$ or

$y=30x^2$

Comparing this equation with equation [1], to get the value of k;

k=30.

therefore, the constant of variation is, 30.

6 0

3 years ago

Solve for c<br><br><br> R=5(c/a-0.3)

aalyn [17]

we have

$R=5(c/a-0.3)$

Solve for c--------> that means that clear variable c

so

Divide by $5$ both sides

$R/5=(c/a-0.3)$

Adds $0.3$ both sides

$(R/5)+0.3=(c/a)$

Multiply by $a$ both sides

$a[(R/5)+0.3]=c$

so

$c=a[(R/5)+0.3]$

therefore

<u>the answer is</u>

$c=a[(R/5)+0.3]$

6 0

3 years ago

Read 2 more answers