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liubo4ka [24]
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
Mathematics
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
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