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denis23 [38]
3 years ago
7

A boat travels 438 km in 8 hours with a constant speed, how far can it travel in 5 hours

Mathematics
1 answer:
neonofarm [45]3 years ago
3 0

Answer:

its the first one

Step-by-step explanation:

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A culture of bacteria has an initial population of 650 bacteria and doubles every 9 hours. Using the formula Pt=P0⋅2tdP_t = P_0\
Ghella [55]
So is doubling, first off, meaning, if the current amount say P, then when it doubles is 2P, or double that, or P + P, so the rate of growth is 100%, since it's doubling.

and is doing it every 9 hour cycle, thus

\bf \textit{Periodic/Cyclical Exponential Growth}\\\\
A=P(1 + r)^{\frac{t}{c}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &650\\
r=rate\to 100\%\to \frac{100}{100}\to &1.00\\
t=\textit{elapsed time}\to &10\\
c=period\to &9
\end{cases}
\\\\\\
A=650(1 + 1)^{\frac{10}{9}}\implies A=650(2)^{\frac{10}{9}}\implies A=650\sqrt[9]{2^{10}}
4 0
3 years ago
The midpoint of sm is (5,-11). One endpoint is S(3,5). What are the coordinates of endpoint M?
Nitella [24]
The coordinates of the midpoint if the endpoints are (x₁,y₁) and (x₂,y₂):
(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

One endpoint is (3,5), the midpoint is (5,-11). The other endpoint is (x,y).

\frac{3+x}{2}=5 \ \ \ \ \ \ \ \ |\times 2 \\
3+x=10 \ \ \ \ \  |-3 \\
x=7 \\ \\
\frac{5+y}{2}=-11 \ \ \ \ \ |\times 2 \\
5+y=-22 \ \ \  |-5 \\
y=-27

The coordinates of endpoint M are (7,-27).
3 0
3 years ago
The point (2, −7) was reflected over the x-axis or the y-axis. Its image is at (−2, −7). Which axis was the point reflected over
aivan3 [116]
The y axis was the axis the point was reflected over
4 0
3 years ago
Help me please its my last question I need help pleaseee
vredina [299]
I think its 52.3 yards but im not sure
7 0
3 years ago
Which of the following is an equivalent expression for tan to the power of minus 1 end exponent x plus tan to the power of minus
tino4ka555 [31]

Answer:

c)

Step-by-step explanation:

To solve this, remember some properties of trigonometric functions.

Let y=\tan^{-1} (x). Then, by definition of inverse function, \tan(y)=x. Multiply by -1 to both sides of this equation to get -\tan(y)=-x.

Note that  -\tan(y)=\frac{-\sin(y)}{\cos(y)}=\frac{\sin(-y)}{\cos(y)}=\frac{\sin(-y)}{\cos(-y)}=\tan(-y) because sine is an odd function and cosine is an even function. Then \tan(-y)=-x. Take the inverse tangent in both sides to get  -y=\tan^{-1} (-x).

Using the previous equations, we obtain:

\tan^{-1} (x)+\tan^{-1} (-x)=y+(-y)=0

3 0
4 years ago
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