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3 years ago

The ________________ is the horizontal number line on the coordinate grid.

Mathematics

1 answer:

Ronch [10]3 years ago

3 0

Answer:

x-axis

Step-by-step explanation:

The horizontal number line is called the x-axis. The vertical number line is called the y-axis. The point where the x- and y-axes meet is the origin.

Hope this helps! <3

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A bacteria culture starts with 660 bacteria and grows at a rate proportional to its size. After 6 hours there will be 3960 bacte

scoray [572]

Answer:

a) $P(t) = 660 e^{\frac{ln(6)}{6} t}$

b) $P(t=3) = 660 e^{\frac{ln(6)}{6}*3} = 1616.663 \approx 1617$

Step-by-step explanation:

For this case we have the following info:

$P(0) = 660$ represent the initial amount of bacteria

$P(6) = 3960$ represent the population of bacteria after 6 hours

Part a

For this case we use the proportional model given by:

$\frac{dP}{dt}= kP$

Where P represent the population at time t and k is a constant of proportionality.

We can rewrite the model like this:

$\frac{dP}{P} = k dt$

And if we integrate both sides we got:

$ln |P|= kt + C$

Now if we apply exponential we got:

$P = e^{kt +c}= e^{kt} e^C$

$P(t)= P_o e^{kt}$

For this case using the initial condition:

$660 = P_o e^{0k}, P_o = 660$

We have the following model:

$P(t) = 660 e^{kt}$

Using the second condition $P(6) = 3960$ we have this:

$3960 = 660e^{6k}$

We can divide both sides by 660 and we got:

$6= e^{6k}$

Now we can apply natural log on both sides and we got:

$ln (6)= 6k$

$k = \frac{ln(6)}{6}=0.2986265782$

So then the model would be given by:

$P(t) = 660 e^{\frac{ln(6)}{6} t}$

Part b

For this case we just need to replace t=3 into the model and we got:

$P(t=3) = 660 e^{\frac{ln(6)}{6}*3} = 1616.663 \approx 1617$

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3 years ago

Sasha ran 2/3 of a 27km race before she stopped to walk. How

dimaraw [331]

Answer:

2/3 of 27=18 km

Step-by-step explanation:

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3 years ago

Which of these professionals most directly uses geometry?

notka56 [123]

Good Morning!
<span>air traffic controller
</span>

The most cited professional who uses geometry is the air traffic controller. This professional needs to calculate routes, distances and times traveled in order to avoid accumulation of aircraft at the time of landing, for example.

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3 years ago

What is the equation of a line passing through the point (1,2) and parallel to the line y=3x+2?

vova2212 [387]

Y=3x-1 have a great day!!

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3 years ago

Read 2 more answers

*WORD PROBLEM* A jar contains dimes and quarters. Twenty percent of the coins in the jar are dimes. A number generator simulates

kifflom [539]

Step-by-step explanation:

20% of the coins are dimes, and 10 coins are selected, so the expected number of dimes is 0.20 * 10 = 2.