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Bess [88]
3 years ago
5

The answer to the problem plz

Mathematics
1 answer:
Vlad1618 [11]3 years ago
4 0
B I think hope you do good
You might be interested in
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
The population of bacteria in a petri dish doubles every 24 h. The population of the bacteria is initially 500 organisms. How lo
liberstina [14]

Answer:

16.34 hours

Step-by-step explanation:

According to the given information we can see that the case is of exponential growth

Hence, we will use the formula

A=P(2)^\frac{t}{24}

Here A =800 is the amount that is needed to reach

P is the initial amount that is 500

We have to find the time it will take to reach 800 that is we need to find t

On substituting the values in the formula we get

800=500(2)^\frac{t}{24}

On simplification we get

\Rightarrow\frac{8}{5}=(2)^\frac{t}{24}

Taking log on both sides we get

\Rightarrow\log\frac{8}{5}=\log(2)^\frac{t}{24}

using \log\frac{m}{n}=\log m-\log n

And \log a^m=m\log a

\Rightarrow\log{8}-\log{5}=\frac{t}{24}\log2

Now substituting values of log 8=0.903, log 5=0.698 and log 2=0.301 we get

\Rightarrow 0.903-0.698=\frac{t}{24}0.301

\Rightarrow 0.205=\frac{t}{24}0.301

\Rightarrow \frac{0.205}{0.301}\cdot 24=t

\Rightarrow t=16.34

8 0
3 years ago
Read 2 more answers
Solve the equation<br> -18 + 24 = -2(x+6)
anzhelika [568]

Answer:

x = -9

Step-by-step explanation:

-18+24 = -2(x+6) Distribute and simplify

6 = -2x-12 Add 12 to both sides

18 = -2x Divide by -2 on both sides

-9 = x Here's your answer

Hope this helps! :D

3 0
2 years ago
Read 2 more answers
Which is equivalent to 1.04?
Elodia [21]

Answer:

104/100 is equivalent to 1.04

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Rachel drove 756 miles in 12 hours.<br> At the same rate, how many miles would she drive in 8 hours?
kvv77 [185]

Answer:

504 miles

Step-by-step explanation:

you would do 756÷12 which equals 63.... For every hour that you drive its 63 miles. Then you do 63×8 to get 504

4 0
3 years ago
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